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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fuSVRFURkxLnePJhr5","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01CBMhmRVmZeuH5MWmQMXq56","name":"Bash","input":{"command":"ls -la && cat task.py && cat starting_kernel.py && cat static_check.py && cat check.py","description":"List workspace files and show task sources"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":0,"cache_read_input_tokens":18006,"cache_creation":{"ephemeral_5m_input_tokens":0,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"38930fd5-04b1-4742-a4e7-194a2a48efb7","timestamp":"2026-10-17T23:24:15.218Z","request_id":"req_011Cg8fuS8MAmSmBmkSGbwqQ"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01CBMhmRVmZeuH5MWmQMXq56","type":"tool_result","content":"total 37\ndrwxr-xr-x 1 agent agent   130 Oct 17 23:20 .\ndrwxr-xr-x 1 root  root    220 Oct 17 23:24 ..\n-rw-r--r-- 1 agent agent  3034 Oct 17 23:20 check.py\n-rw-r--r-- 1 agent agent  4816 Oct 17 23:20 nodus_autosave.py\n-rw-r--r-- 1 agent agent  2265 Oct 17 23:20 starting_kernel.py\n-rw-r--r-- 1 agent agent 13355 Oct 17 23:20 static_check.py\n-rw-r--r-- 1 agent agent  6758 Oct 17 23:20 task.py\n-rw-r--r-- 1 agent agent  5117 Oct 17 23:20 task_api.py\n\"\"\"Public task definition for xpr_hd256_chunked_prefill: reference, check, timed shapes, standard normal inputs. The verifier also uses edge shapes and hidden input distributions that are not in this file.\"\"\"\n\"\"\"Causal GQA attention with head dim 256 for chunked prefill over long contexts on Blackwell (expert PR task).\n\nSource: Dao-AILab/flash-attention PR #2916 \"[CuTe, SM100] SplitKV for the hd256 2CTA forward kernel\" (merged\n2026-09-25): the FlashAttention-4 head-dim-256 forward kernel (2-CTA tcgen05 clusters) gained split-KV with a\ncombine pass and an automatic split count; before it, that kernel rejected split-KV and ran one KV pass per query\ntile. The PR measured 1.9x-3.9x on GB300. The bar is the post-PR kernel (vendored in\nkernel_lab/expert_pr/fa4_v2916, num_splits=0 = automatic) at 0.9 of its speed, measured in the same run. On B300 it\nis 1.7x-3.3x faster than the pre-PR kernel on these shapes (expert_pr/prs.json).\n\nShapes are chunked-prefill steps (a chunk of new query tokens appended to a long cached context) of a GQA model\nwith 16 query heads, 8 KV heads and head dim 256 (Gemma-3 / Qwen3-Next style hd256 attention). Chunks of 256-512 tokens\nmake every timed shape compute bound (about 500 FLOPs per KV byte). Shorter chunks and pure decode are checked\nfor correctness only: there the expert kernel streams KV at well under half of HBM bandwidth, so a plain split-KV\nkernel would beat it.\n\"\"\"\nfrom task_api import Case, Task\nHQ, HKV, D = (16, 8, 256)\n\ndef make_case(shape, seed, device, dist='normal'):\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    B, Sq, Sk = (shape['B'], shape['Sq'], shape['Sk'])\n    q = randn((B, Sq, HQ, D), g, device, dist).to(torch.bfloat16)\n    k = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    v = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    out = torch.empty((B, Sq, HQ, D), device=device, dtype=torch.bfloat16)\n    return Case(args=[q, k, v, out], outputs=(3,), shape=shape, dist=dist)\n\ndef reference(args):\n    \"\"\"fp32 attention per (batch, KV head): query i of the chunk sees keys 0 .. Sk - Sq + i (the chunk is the end of\n    the sequence), softmax scale 1/16.\"\"\"\n    import torch\n    q, k, v, out = args\n    B, Sq, _, _ = q.shape\n    Sk = k.shape[1]\n    G = HQ // HKV\n    o = torch.empty(q.shape, device=q.device, dtype=torch.float32)\n    mag = torch.empty_like(o)\n    mask = torch.ones((Sq, Sk), device=q.device, dtype=torch.bool).tril(Sk - Sq)\n    for b in range(B):\n        for h in range(HKV):\n            qs = q[b, :, h * G:(h + 1) * G].float().permute(1, 0, 2)\n            s = qs @ k[b, :, h].float().t() * D ** (-0.5)\n            s = s.masked_fill(~mask, float('-inf'))\n            p = s.softmax(-1)\n            o[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float()).permute(1, 0, 2)\n            mag[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float().abs()).permute(1, 0, 2)\n    return {3: o, 'mag': mag}\n\ndef check(got, exp):\n    \"\"\"Per query token and head, the allowed error is 1% of the value plus 2% of that row's output RMS\n    plus 0.5% of sum_j p_j |v_j| (plus 1e-5). The last term covers bf16 rounding of the softmax weights (at most\n    2^-9 of each weight), which matters when an outlier value row gets a mid-size weight. A causal mask that is off\n    by one or aligned to the start instead of the end, a dropped KV block or split, or a wrong GQA head mapping\n    fails.\"\"\"\n    import torch\n    g, e = (got[3].float(), exp[3].float())\n    if tuple(g.shape) != tuple(e.shape):\n        return (False, {'error': f'shape {tuple(g.shape)} != {tuple(e.shape)}'})\n    rms = e.pow(2).mean(-1, keepdim=True).sqrt()\n    tol = 0.01 * e.abs() + 0.02 * rms + 0.005 * exp['mag'] + 1e-05\n    finite = torch.isfinite(g)\n    diff = torch.where(finite, (g - e).abs(), torch.full_like(g, float('inf')))\n    bad = int((diff > tol).sum().item())\n    fin = diff[finite]\n    return (bad == 0, {'bad': bad, 'bad_frac': bad / max(1, g.numel()), 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if fin.numel() else 0.0})\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's forward at the merge commit of PR #2916, causal, automatic split count, writing\n    into the output buffer.\"\"\"\n    import torch\n    from kernel_lab.expert_pr.fa4_v2916.interface import _flash_attn_fwd\n\n    def run(q, k, v, out):\n        with torch.no_grad():\n            o = _flash_attn_fwd(q, k, v, causal=True, num_splits=0, out=out)[0]\n        if o.data_ptr() != out.data_ptr():\n            out.copy_(o)\n    return run\nTASK = Task(name='xpr_hd256_chunked_prefill', title='Causal GQA attention, head dim 256, for chunked prefill over 32K-128K contexts (bar: FlashAttention-4 after PR #2916, September 2026)', models='Every attention layer of head-dim-256 GQA models (16 query heads, 8 KV heads per GPU) during chunked prefill and speculative or multi-token verification over long cached contexts on Blackwell.', semantics='q is [B, Sq, 16, 256] bf16, k and v are [B, Sk, 8, 256] bf16, all contiguous, Sq <= Sk. Query head h uses KV head h // 2. The Sq queries are the last Sq positions of the sequence: query i attends to keys 0 .. Sk - Sq + i (inclusive). out[b, i, h] = sum_j softmax_j(q[b, i, h] . k[b, j, h // 2] / 16) * v[b, j, h // 2], computed in fp32 (or better) and rounded to bf16, written into out [B, Sq, 16, 256] (contiguous). No dropout, no softcap, no window.', signature='def kernel_fn(q, k, v, out) -> None  # writes out [B, Sq, 16, 256] bf16', shapes=[{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}, {'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}, {'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}, {'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=lambda s: 2 * s['B'] * (2 * s['Sk'] * HKV * D + 2 * s['Sq'] * HQ * D), notes='Long KV, few query tiles: with B * Sq * 16 / 128 query tiles there are far fewer tiles than SMs, so split the KV range across programs (fp32 partial outputs plus log-sum-exp, then a combine kernel) to fill the GPU. Head dim 256 doubles the per-tile register and shared memory pressure compared with 128: keep Q in shared memory, use tensor-core dots for both QK and PV, and skip fully masked KV blocks (only the last Sq keys are partly masked). Compute bound at these chunk sizes. Expert times on B300 (us, cold L2): Sq256/Sk128K 379, Sq512/Sk64K 356, Sq512/Sk128K 692, B2/Sq256/Sk64K 381 (before the PR: 1264, 619, 1219, 649). The bar is 0.9x the expert speed (geometric mean over the shapes).', weight=0.6, gpus=('B300',))\n# Starting kernel: correct and deliberately simple. One program per (16-query tile, query head) walks the KV range\n# in 32-key steps with tl.dot and an online softmax in fp32. No split-KV (only a handful of programs run for long\n# contexts), tiny tiles, no pipelining: much slower than the expert kernel.\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _attn(Q, K, V, O, Sq, Sk, sm_scale, HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    pm = tl.program_id(0)\n    bh = tl.program_id(1)\n    b = bh // HQ\n    h = bh % HQ\n    hk = h // (HQ // HKV)\n    rm = pm * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qmask = rm < Sq\n    q_ptr = Q + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n    m_i = tl.full((BM,), float('-inf'), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    acc = tl.zeros((BM, D), tl.float32)\n    shift = Sk - Sq\n    hi = tl.minimum(Sk, shift + (pm + 1) * BM)\n    for n0 in range(0, hi, BN):\n        cols = n0 + rn\n        kv_off = ((b * Sk + cols[:, None]).to(tl.int64) * HKV + hk) * D + rd[None, :]\n        kmask = cols < Sk\n        k = tl.load(K + kv_off, mask=kmask[:, None], other=0.0)\n        s = tl.dot(q, tl.trans(k)) * sm_scale\n        ok = (cols[None, :] <= rm[:, None] + shift) & kmask[None, :]\n        s = tl.where(ok, s, float('-inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        m_safe = tl.where(m_new == float('-inf'), 0.0, m_new)\n        p = tl.exp(s - m_safe[:, None])\n        alpha = tl.exp(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        v = tl.load(V + kv_off, mask=kmask[:, None], other=0.0)\n        acc = acc * alpha[:, None] + tl.dot(p.to(tl.bfloat16), v)\n        m_i = m_new\n    acc = acc / tl.where(l_i == 0.0, 1.0, l_i)[:, None]\n    o_ptr = O + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=qmask[:, None])\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    grid = (triton.cdiv(Sq, 16), B * HQ)\n    _attn[grid](q, k, v, out, Sq, Sk, D ** -0.5, HQ=HQ, HKV=HKV, D=D, BM=16, BN=32, num_warps=4, num_stages=1)\n\"\"\"Static admission for candidate kernels. Runs on the controller before any GPU time is spent, and again in the\njudge. The contract is deliberately narrow: a candidate is a Triton module that defines kernel_fn. torch may be used\nto allocate and reshape tensors. All arithmetic must run inside Triton kernels (the judge also enforces this at\nruntime by recording every torch op the candidate executes).\n\nA task whose langs include 'cute' also admits CuTe DSL kernels (the judge image's `cutlass` 4.7.1 package): the\nmodules in CUTE_IMPORTS, and no cutlass name whose path has a private part or a part in CUTE_BLOCKED (loaders of\nprebuilt or exported binaries, external linking, the CUDA driver, compiler internals, prebuilt operator packages,\ntest and framework helpers, pointers made from integers). Internals are entered only through CUTE_ENTRY. Such a\nmodule may also use `with` on cutlass context managers (cute.arch.elect_one) and declare shared memory as @cute.struct\nclasses of annotated fields.\n\"\"\"\nimport ast\n\nMAX_BYTES = 48 * 1024\nCUTE_MAX_BYTES = 128 * 1024        # CuTe spells out the layouts, pipelines and warp roles that Triton infers\nALLOWED_IMPORTS = {'torch', 'triton', 'triton.language', 'triton.language.extra', 'triton.language.extra.libdevice',\n                   'math', 'typing'}\nTORCH_CHAINS = {\n    'torch', 'torch.empty', 'torch.empty_like', 'torch.empty_strided', 'torch.zeros', 'torch.zeros_like', 'torch.full',\n    'torch.float32', 'torch.float16', 'torch.bfloat16', 'torch.float8_e4m3fn', 'torch.float8_e5m2', 'torch.int8',\n    'torch.int16', 'torch.int32', 'torch.int64', 'torch.uint8', 'torch.bool', 'torch.Tensor', 'torch.dtype',\n    'torch.device', 'torch.Size', 'torch.finfo', 'torch.iinfo', 'torch.cuda.get_device_properties',\n    'torch.cuda.current_device', 'torch.cuda.is_available',\n}\nTRITON_CHAINS = {'triton.jit', 'triton.autotune', 'triton.Config', 'triton.cdiv', 'triton.next_power_of_2',\n                 'triton.heuristics', 'triton.set_allocator'}   # set_allocator enables TMA descriptors\nCUTE_IMPORTS = {\n    'cutlass', 'cutlass.cute', 'cutlass.cute.arch', 'cutlass.cute.math', 'cutlass.cute.runtime', 'cutlass.cute.nvgpu',\n    'cutlass.cute.nvgpu.cpasync', 'cutlass.cute.nvgpu.tcgen05', 'cutlass.cute.nvgpu.warp',\n    'cutlass.cute.nvgpu.warpgroup', 'cutlass.pipeline', 'cutlass.utils', 'cutlass.utils.blackwell_helpers',\n    'cutlass.utils.hopper_helpers', 'cutlass.cutlass_dsl', 'cutlass._mlir.dialects', 'cutlass._mlir.dialects.nvvm',\n    'cuda.bindings.driver',\n}\n# The only ways into internals: device-only inline PTX (nvvm), and the stream handle that wraps torch's current stream.\n# The llvm dialect is not admitted: @cute.jit host functions run as native host code, where llvm ops (inline\n# assembly, external calls, raw loads and stores) escape every check here.\nCUTE_ENTRY = ('cutlass.cutlass_dsl.T', 'cutlass.cutlass_dsl.dsl_user_op', 'cutlass._mlir.dialects.nvvm',\n              'cuda.bindings.driver.CUstream')\n# No part of a cutlass name may be one of these. cutlass modules re-export what they import, so the CUDA driver\n# (cutlass.cuda: load_cubin_module, launch_kernel, stream_create) is reachable as an attribute of kernel modules.\nCUTE_BLOCKED = {\n    'export', 'load_module', 'find_runtime_libraries', 'ffi', 'extern', 'base_extern', 'BitCode', 'LinkLibraries',\n    'compile_to', 'make_ptr', 'cuda', 'cuda_helpers', 'driver', 'runtime', 'base_dsl', 'cutlass_dsl', 'compiler',\n    'ir', 'spec', 'BaseDSL', 'CuTeDSL', 'CuteExperimentalDSL', 'FFI', 'ExecutionArgs', 'JitArgAdapterRegistry',\n    'register_jit_arg_adapter', 'operators', 'kernels', 'testing', 'experimental', 'jax', 'torch', 'tvm_ffi',\n    'ctypes', 'os', 'sys', 'subprocess', 'importlib', 'builtins', 'inspect', 'json', 'tempfile', 'pathlib', 'shutil',\n    'pickle', 'threading', 'weakref',\n}\nCUTE_TORCH_CHAINS = {'torch.cuda.current_stream'}      # its .cuda_stream goes into cuda.bindings.driver.CUstream\nFORBIDDEN_NAMES = {'eval', 'exec', 'compile', 'open', '__import__', 'globals', 'locals', 'vars', 'getattr', 'setattr',\n                   'delattr', 'breakpoint', 'input', 'id', 'memoryview', 'help', 'exit', 'quit', 'sys', 'os',\n                   'print', 'super', 'type', 'object'}\nFORBIDDEN_NODES = (ast.ClassDef, ast.Global, ast.Nonlocal, ast.AsyncFunctionDef, ast.Await, ast.Yield, ast.YieldFrom,\n                   ast.Try, ast.With, ast.AsyncWith)\n\n\ndef _chain(node):\n    parts = []\n    while isinstance(node, ast.Attribute):\n        parts.append(node.attr)\n        node = node.value\n    if isinstance(node, ast.Name):\n        parts.append(node.id)\n        return list(reversed(parts))\n    return None\n\n\ndef _canon(node, alias):\n    c = _chain(node)\n    return '.'.join(alias[c[0]].split('.') + c[1:]) if c and c[0] in alias else None\n\n\ndef _cute_bad(full):\n    \"\"\"Why a dotted cutlass or cuda name is not admitted, or None. cutlass.cute.runtime is the one runtime module.\"\"\"\n    head = next((h for h in CUTE_ENTRY if full == h or full.startswith(h + '.')), None)\n    if full == 'cuda.bindings.driver':          # the module itself; only CUstream may be taken from it\n        return None\n    if full.startswith('cuda') and not head:\n        return f'{full} is not allowed (from cuda.bindings.driver only CUstream)'\n    parts = full.split('.')\n    for i in range(len(head.split('.')) if head else 1, len(parts)):\n        if parts[:i + 1] != ['cutlass', 'cute', 'runtime'] and (parts[i].startswith('_') or parts[i] in CUTE_BLOCKED):\n            return f'{full} is not allowed: {parts[i]} is private or not kernel writing (CUTE_BLOCKED, static_check.py)'\n    return None\n\n\ndef _launders(node, alias, parents):\n    \"\"\"Whether a CUTE_BLOCKED attribute sits in a chain that does not start at an imported name (a module kept in a\n    variable, a list item, a call result): the chain checks cannot see where such a chain leads, so it is refused.\"\"\"\n    while isinstance(parents.get(id(node)), ast.Attribute) and parents[id(node)].value is node:\n        node = parents[id(node)]\n    return _canon(node, alias) is None\n\n\ndef _cute_exempt(node, alias):\n    \"\"\"A with statement on cutlass context managers, or a @cute.struct class of annotated fields only.\"\"\"\n    if isinstance(node, ast.With):\n        return all(isinstance(i.context_expr, ast.Call) and (_canon(i.context_expr.func, alias) or '').startswith(\n            'cutlass.') and (i.optional_vars is None or isinstance(i.optional_vars, ast.Name)) for i in node.items)\n    if isinstance(node, ast.ClassDef):\n        return (not node.bases and not node.keywords and len(node.decorator_list) == 1\n                and _canon(node.decorator_list[0], alias) == 'cutlass.cute.struct'\n                and all(isinstance(s, ast.AnnAssign) and isinstance(s.target, ast.Name) and s.value is None\n                        or isinstance(s, ast.Pass) or isinstance(s, ast.Expr) and isinstance(s.value, ast.Constant)\n                        for s in node.body))\n    return False\n\n\ndef check(code, langs=('triton',)):\n    \"\"\"Return (ok, reason). The reason names the first violation, in words the proposer can act on. langs is the\n    task's tuple of admitted kernel languages: ('triton',) or ('triton', 'cute').\"\"\"\n    cute = 'cute' in langs\n    limit = CUTE_MAX_BYTES if cute else MAX_BYTES\n    imports = ALLOWED_IMPORTS | CUTE_IMPORTS if cute else ALLOWED_IMPORTS\n    torch_ok = TORCH_CHAINS | CUTE_TORCH_CHAINS if cute else TORCH_CHAINS\n    if not isinstance(code, str) or not code.strip():\n        return False, 'empty candidate'\n    if len(code.encode()) > limit:\n        return False, f'candidate exceeds {limit} bytes'\n    try:\n        tree = ast.parse(code)\n    except SyntaxError as e:\n        return False, f'syntax error on line {e.lineno}: {e.msg}'\n    parents = {}\n    for p in ast.walk(tree):\n        for ch in ast.iter_child_nodes(p):\n            parents[id(ch)] = p\n    alias = {}\n    for node in ast.walk(tree):\n        if isinstance(node, ast.Import):\n            for a in node.names:\n                if a.name not in imports:\n                    return False, f'import of {a.name} is not allowed (allowed: torch, triton, triton.language, math' + (\n                        ' and the CuTe DSL modules in CUTE_IMPORTS)' if cute else ')')\n                alias[a.asname or a.name.split('.')[0]] = a.name if a.asname else a.name.split('.')[0]\n        elif isinstance(node, ast.ImportFrom):\n            mod = node.module or ''\n            if node.level or mod not in imports:\n                return False, f'import from {mod or \".\"} is not allowed'\n            for a in node.names:\n                if a.name == '*':\n                    return False, 'star imports are not allowed'\n                full = f'{mod}.{a.name}'\n                if mod == 'torch' and full not in torch_ok:\n                    return False, f'from torch import {a.name} is not allowed'\n                if mod == 'triton' and full not in TRITON_CHAINS and a.name != 'language':\n                    return False, f'from triton import {a.name} is not allowed'\n                if cute and mod in CUTE_IMPORTS and _cute_bad(full):\n                    return False, _cute_bad(full)\n                alias[a.asname or a.name] = full\n    has_kernel_fn = False\n    has_jit = False\n    has_cute_kernel = False\n    for node in ast.walk(tree):\n        if isinstance(node, FORBIDDEN_NODES) and not (cute and _cute_exempt(node, alias)):\n            return False, f'{type(node).__name__} is not allowed in candidates'\n        if isinstance(node, ast.FunctionDef):\n            if node.name.startswith('__'):\n                return False, f'dunder function {node.name} is not allowed'\n            if node.name == 'kernel_fn' and node in tree.body:\n                has_kernel_fn = True\n            for d in node.decorator_list:\n                c = _chain(d.func if isinstance(d, ast.Call) else d)\n                if c:\n                    canon = alias.get(c[0], c[0]).split('.') + c[1:]\n                    if canon[:2] == ['triton', 'jit']:\n                        has_jit = True\n                    if canon[:3] == ['cutlass', 'cute', 'kernel']:\n                        has_cute_kernel = True\n        if isinstance(node, ast.Name) and node.id in FORBIDDEN_NAMES:\n            return False, f'use of {node.id} is not allowed'\n        if isinstance(node, ast.Attribute) and node.attr.startswith('__'):\n            return False, f'dunder attribute {node.attr} is not allowed'\n        if cute and isinstance(node, ast.Attribute) and node.attr.startswith('_') and node.attr != '_mlir':\n            return False, f'private attribute {node.attr} is not allowed'\n        if cute and isinstance(node, ast.Attribute) and node.attr in CUTE_BLOCKED and _launders(node, alias, parents):\n            return False, (f'attribute {node.attr} is not allowed here: in CuTe modules the names in CUTE_BLOCKED may '\n                           'only appear in a chain that starts at an import')\n        if cute and isinstance(node, ast.keyword) and node.arg is None:\n            return False, 'keyword unpacking (**) is not allowed in CuTe modules: pass compile options by name'\n        if cute and isinstance(node, ast.keyword) and node.arg == 'options' and not (\n                isinstance(node.value, ast.Constant) and isinstance(node.value.value, str)\n                and 'link' not in node.value.value.lower()):\n            return False, 'compile options must be a string literal and must not link libraries'\n        if isinstance(node, (ast.Assign, ast.AugAssign, ast.AnnAssign, ast.Delete)):\n            targets = node.targets if isinstance(node, (ast.Assign, ast.Delete)) else [node.target]\n            for t in targets:\n                for sub in ast.walk(t):\n                    if isinstance(sub, ast.Attribute):\n                        return False, 'assigning to attributes is not allowed'\n    for node in ast.walk(tree):\n        if not isinstance(node, (ast.Attribute, ast.Name)):\n            continue\n        p = parents.get(id(node))\n        if isinstance(p, ast.Attribute) and p.value is node:\n            continue  # only check the longest chain\n        c = _chain(node)\n        if not c or c[0] not in alias:\n            continue\n        canon = alias[c[0]].split('.') + c[1:]\n        full = '.'.join(canon)\n        if canon[0] == 'torch':\n            if full not in torch_ok:\n                return False, f'{full} is not allowed: allocate with torch, compute in Triton'\n        elif canon[0] == 'triton':\n            if canon[:2] == ['triton', 'language']:\n                continue\n            if len(canon) > 1 and full not in TRITON_CHAINS:\n                return False, f'{full} is not allowed'\n        elif cute and canon[0] in ('cutlass', 'cuda'):\n            if _cute_bad(full):\n                return False, _cute_bad(full)\n            if full in CUTE_IMPORTS:       # a module object passed around would escape these checks\n                return False, f'the module {full} may only be used through its attributes'\n    if not has_kernel_fn:\n        return False, 'the module must define a top-level function named kernel_fn'\n    if not (has_jit or cute and has_cute_kernel):\n        return False, 'the module must contain at least one ' + ('@triton.jit or @cute.kernel kernel' if cute else\n                                                                 '@triton.jit kernel')\n    return True, 'ok'\n\"\"\"Check a kernel on the public shapes before you submit it:  python check.py [solution.py]\n\nCorrectness against the reference on the public shapes (standard normal inputs), then median CUDA-event times of\nyour kernel, the starting kernel and vLLM's kernel. The verifier checks much more: edge shapes, hidden input\ndistributions and cheats (torch math, cached results, timers, streams). It times you against vLLM in a paired,\nL2-flushed run in a separate container.\n\"\"\"\nimport importlib.util\nimport sys\n\nimport torch\n\nimport static_check\nimport task as T\n\n\ndef load(path, name):\n    spec = importlib.util.spec_from_file_location(name, path)\n    mod = importlib.util.module_from_spec(spec)\n    spec.loader.exec_module(mod)\n    return mod\n\n\ndef median_us(fn, args, n=50):\n    for _ in range(3):\n        fn(*args)\n    torch.cuda.synchronize()\n    ts = []\n    for _ in range(n):\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record()\n        fn(*args)\n        e.record()\n        torch.cuda.synchronize()\n        ts.append(s.elapsed_time(e) * 1000.0)\n    return sorted(ts)[n // 2]\n\n\ndef main():\n    t = T.TASK\n    path = sys.argv[1] if len(sys.argv) > 1 else '/workspace/solution.py'\n    with open(path) as f:\n        ok, why = static_check.check(f.read(), getattr(t, 'langs', ('triton',)))\n    if not ok:                                  # the verifier rejects the file before running it\n        print(f'REJECTED by the static check: {why}')\n        return\n    sol = load(path, 'solution')\n    base = load('/workspace/starting_kernel.py', 'starting_kernel')\n    try:\n        vllm = t.vllm()\n    except Exception as e:  # noqa: BLE001\n        vllm, why = None, e\n    for shape in t.shapes:\n        case = t.make_case(shape, 1, 'cuda')\n        exp = t.reference([a.clone() if torch.is_tensor(a) else a for a in case.args])\n        sol.kernel_fn(*case.args)\n        torch.cuda.synchronize()\n        ok, stats = t.check({i: case.args[i] for i in case.checked}, exp)\n        line = f\"{T.shape_key(shape) if hasattr(T, 'shape_key') else shape}: \" + ('correct' if ok else f'WRONG {stats}')\n        if ok:\n            line += f', {median_us(sol.kernel_fn, case.args):.2f} us'\n            line += f', starting kernel {median_us(base.kernel_fn, t.make_case(shape, 1, \"cuda\").args):.2f} us'\n            if vllm:\n                label = getattr(T, 'BASELINE_SHORT', 'vLLM')\n                line += f', {label} {median_us(vllm, t.make_case(shape, 1, \"cuda\").args):.2f} us'\n        print(line[:400])\n\n\nif __name__ == '__main__':\n    import contextlib\n    import io\n\n    import nodus_autosave           # best-version autosave (hardened export): /workspace/.best\n\n    class _Tee(io.StringIO):\n        def write(self, s):\n            sys.__stdout__.write(s)\n            return super().write(s)\n    _out = _Tee()\n    with contextlib.redirect_stdout(_out):\n        main()\n    sys.stdout.flush()\n    nodus_autosave.record(sys.argv[1] if len(sys.argv) > 1 else '/workspace/solution.py', _out.getvalue())","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"560b7928-4e2d-40a7-9c53-4551ec00c796","timestamp":"2026-10-17T23:24:15.338Z","tool_use_result":{"stdout":"total 37\ndrwxr-xr-x 1 agent agent   130 Oct 17 23:20 .\ndrwxr-xr-x 1 root  root    220 Oct 17 23:24 ..\n-rw-r--r-- 1 agent agent  3034 Oct 17 23:20 check.py\n-rw-r--r-- 1 agent agent  4816 Oct 17 23:20 nodus_autosave.py\n-rw-r--r-- 1 agent agent  2265 Oct 17 23:20 starting_kernel.py\n-rw-r--r-- 1 agent agent 13355 Oct 17 23:20 static_check.py\n-rw-r--r-- 1 agent agent  6758 Oct 17 23:20 task.py\n-rw-r--r-- 1 agent agent  5117 Oct 17 23:20 task_api.py\n\"\"\"Public task definition for xpr_hd256_chunked_prefill: reference, check, timed shapes, standard normal inputs. The verifier also uses edge shapes and hidden input distributions that are not in this file.\"\"\"\n\"\"\"Causal GQA attention with head dim 256 for chunked prefill over long contexts on Blackwell (expert PR task).\n\nSource: Dao-AILab/flash-attention PR #2916 \"[CuTe, SM100] SplitKV for the hd256 2CTA forward kernel\" (merged\n2026-09-25): the FlashAttention-4 head-dim-256 forward kernel (2-CTA tcgen05 clusters) gained split-KV with a\ncombine pass and an automatic split count; before it, that kernel rejected split-KV and ran one KV pass per query\ntile. The PR measured 1.9x-3.9x on GB300. The bar is the post-PR kernel (vendored in\nkernel_lab/expert_pr/fa4_v2916, num_splits=0 = automatic) at 0.9 of its speed, measured in the same run. On B300 it\nis 1.7x-3.3x faster than the pre-PR kernel on these shapes (expert_pr/prs.json).\n\nShapes are chunked-prefill steps (a chunk of new query tokens appended to a long cached context) of a GQA model\nwith 16 query heads, 8 KV heads and head dim 256 (Gemma-3 / Qwen3-Next style hd256 attention). Chunks of 256-512 tokens\nmake every timed shape compute bound (about 500 FLOPs per KV byte). Shorter chunks and pure decode are checked\nfor correctness only: there the expert kernel streams KV at well under half of HBM bandwidth, so a plain split-KV\nkernel would beat it.\n\"\"\"\nfrom task_api import Case, Task\nHQ, HKV, D = (16, 8, 256)\n\ndef make_case(shape, seed, device, dist='normal'):\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    B, Sq, Sk = (shape['B'], shape['Sq'], shape['Sk'])\n    q = randn((B, Sq, HQ, D), g, device, dist).to(torch.bfloat16)\n    k = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    v = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    out = torch.empty((B, Sq, HQ, D), device=device, dtype=torch.bfloat16)\n    return Case(args=[q, k, v, out], outputs=(3,), shape=shape, dist=dist)\n\ndef reference(args):\n    \"\"\"fp32 attention per (batch, KV head): query i of the chunk sees keys 0 .. Sk - Sq + i (the chunk is the end of\n    the sequence), softmax scale 1/16.\"\"\"\n    import torch\n    q, k, v, out = args\n    B, Sq, _, _ = q.shape\n    Sk = k.shape[1]\n    G = HQ // HKV\n    o = torch.empty(q.shape, device=q.device, dtype=torch.float32)\n    mag = torch.empty_like(o)\n    mask = torch.ones((Sq, Sk), device=q.device, dtype=torch.bool).tril(Sk - Sq)\n    for b in range(B):\n        for h in range(HKV):\n            qs = q[b, :, h * G:(h + 1) * G].float().permute(1, 0, 2)\n            s = qs @ k[b, :, h].float().t() * D ** (-0.5)\n            s = s.masked_fill(~mask, float('-inf'))\n            p = s.softmax(-1)\n            o[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float()).permute(1, 0, 2)\n            mag[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float().abs()).permute(1, 0, 2)\n    return {3: o, 'mag': mag}\n\ndef check(got, exp):\n    \"\"\"Per query token and head, the allowed error is 1% of the value plus 2% of that row's output RMS\n    plus 0.5% of sum_j p_j |v_j| (plus 1e-5). The last term covers bf16 rounding of the softmax weights (at most\n    2^-9 of each weight), which matters when an outlier value row gets a mid-size weight. A causal mask that is off\n    by one or aligned to the start instead of the end, a dropped KV block or split, or a wrong GQA head mapping\n    fails.\"\"\"\n    import torch\n    g, e = (got[3].float(), exp[3].float())\n    if tuple(g.shape) != tuple(e.shape):\n        return (False, {'error': f'shape {tuple(g.shape)} != {tuple(e.shape)}'})\n    rms = e.pow(2).mean(-1, keepdim=True).sqrt()\n    tol = 0.01 * e.abs() + 0.02 * rms + 0.005 * exp['mag'] + 1e-05\n    finite = torch.isfinite(g)\n    diff = torch.where(finite, (g - e).abs(), torch.full_like(g, float('inf')))\n    bad = int((diff > tol).sum().item())\n    fin = diff[finite]\n    return (bad == 0, {'bad': bad, 'bad_frac': bad / max(1, g.numel()), 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if fin.numel() else 0.0})\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's forward at the merge commit of PR #2916, causal, automatic split count, writing\n    into the output buffer.\"\"\"\n    import torch\n    from kernel_lab.expert_pr.fa4_v2916.interface import _flash_attn_fwd\n\n    def run(q, k, v, out):\n        with torch.no_grad():\n            o = _flash_attn_fwd(q, k, v, causal=True, num_splits=0, out=out)[0]\n        if o.data_ptr() != out.data_ptr():\n            out.copy_(o)\n    return run\nTASK = Task(name='xpr_hd256_chunked_prefill', title='Causal GQA attention, head dim 256, for chunked prefill over 32K-128K contexts (bar: FlashAttention-4 after PR #2916, September 2026)', models='Every attention layer of head-dim-256 GQA models (16 query heads, 8 KV heads per GPU) during chunked prefill and speculative or multi-token verification over long cached contexts on Blackwell.', semantics='q is [B, Sq, 16, 256] bf16, k and v are [B, Sk, 8, 256] bf16, all contiguous, Sq <= Sk. Query head h uses KV head h // 2. The Sq queries are the last Sq positions of the sequence: query i attends to keys 0 .. Sk - Sq + i (inclusive). out[b, i, h] = sum_j softmax_j(q[b, i, h] . k[b, j, h // 2] / 16) * v[b, j, h // 2], computed in fp32 (or better) and rounded to bf16, written into out [B, Sq, 16, 256] (contiguous). No dropout, no softcap, no window.', signature='def kernel_fn(q, k, v, out) -> None  # writes out [B, Sq, 16, 256] bf16', shapes=[{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}, {'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}, {'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}, {'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=lambda s: 2 * s['B'] * (2 * s['Sk'] * HKV * D + 2 * s['Sq'] * HQ * D), notes='Long KV, few query tiles: with B * Sq * 16 / 128 query tiles there are far fewer tiles than SMs, so split the KV range across programs (fp32 partial outputs plus log-sum-exp, then a combine kernel) to fill the GPU. Head dim 256 doubles the per-tile register and shared memory pressure compared with 128: keep Q in shared memory, use tensor-core dots for both QK and PV, and skip fully masked KV blocks (only the last Sq keys are partly masked). Compute bound at these chunk sizes. Expert times on B300 (us, cold L2): Sq256/Sk128K 379, Sq512/Sk64K 356, Sq512/Sk128K 692, B2/Sq256/Sk64K 381 (before the PR: 1264, 619, 1219, 649). The bar is 0.9x the expert speed (geometric mean over the shapes).', weight=0.6, gpus=('B300',))\n# Starting kernel: correct and deliberately simple. One program per (16-query tile, query head) walks the KV range\n# in 32-key steps with tl.dot and an online softmax in fp32. No split-KV (only a handful of programs run for long\n# contexts), tiny tiles, no pipelining: much slower than the expert kernel.\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _attn(Q, K, V, O, Sq, Sk, sm_scale, HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    pm = tl.program_id(0)\n    bh = tl.program_id(1)\n    b = bh // HQ\n    h = bh % HQ\n    hk = h // (HQ // HKV)\n    rm = pm * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qmask = rm < Sq\n    q_ptr = Q + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n    m_i = tl.full((BM,), float('-inf'), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    acc = tl.zeros((BM, D), tl.float32)\n    shift = Sk - Sq\n    hi = tl.minimum(Sk, shift + (pm + 1) * BM)\n    for n0 in range(0, hi, BN):\n        cols = n0 + rn\n        kv_off = ((b * Sk + cols[:, None]).to(tl.int64) * HKV + hk) * D + rd[None, :]\n        kmask = cols < Sk\n        k = tl.load(K + kv_off, mask=kmask[:, None], other=0.0)\n        s = tl.dot(q, tl.trans(k)) * sm_scale\n        ok = (cols[None, :] <= rm[:, None] + shift) & kmask[None, :]\n        s = tl.where(ok, s, float('-inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        m_safe = tl.where(m_new == float('-inf'), 0.0, m_new)\n        p = tl.exp(s - m_safe[:, None])\n        alpha = tl.exp(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        v = tl.load(V + kv_off, mask=kmask[:, None], other=0.0)\n        acc = acc * alpha[:, None] + tl.dot(p.to(tl.bfloat16), v)\n        m_i = m_new\n    acc = acc / tl.where(l_i == 0.0, 1.0, l_i)[:, None]\n    o_ptr = O + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=qmask[:, None])\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    grid = (triton.cdiv(Sq, 16), B * HQ)\n    _attn[grid](q, k, v, out, Sq, Sk, D ** -0.5, HQ=HQ, HKV=HKV, D=D, BM=16, BN=32, num_warps=4, num_stages=1)\n\"\"\"Static admission for candidate kernels. Runs on the controller before any GPU time is spent, and again in the\njudge. The contract is deliberately narrow: a candidate is a Triton module that defines kernel_fn. torch may be used\nto allocate and reshape tensors. All arithmetic must run inside Triton kernels (the judge also enforces this at\nruntime by recording every torch op the candidate executes).\n\nA task whose langs include 'cute' also admits CuTe DSL kernels (the judge image's `cutlass` 4.7.1 package): the\nmodules in CUTE_IMPORTS, and no cutlass name whose path has a private part or a part in CUTE_BLOCKED (loaders of\nprebuilt or exported binaries, external linking, the CUDA driver, compiler internals, prebuilt operator packages,\ntest and framework helpers, pointers made from integers). Internals are entered only through CUTE_ENTRY. Such a\nmodule may also use `with` on cutlass context managers (cute.arch.elect_one) and declare shared memory as @cute.struct\nclasses of annotated fields.\n\"\"\"\nimport ast\n\nMAX_BYTES = 48 * 1024\nCUTE_MAX_BYTES = 128 * 1024        # CuTe spells out the layouts, pipelines and warp roles that Triton infers\nALLOWED_IMPORTS = {'torch', 'triton', 'triton.language', 'triton.language.extra', 'triton.language.extra.libdevice',\n                   'math', 'typing'}\nTORCH_CHAINS = {\n    'torch', 'torch.empty', 'torch.empty_like', 'torch.empty_strided', 'torch.zeros', 'torch.zeros_like', 'torch.full',\n    'torch.float32', 'torch.float16', 'torch.bfloat16', 'torch.float8_e4m3fn', 'torch.float8_e5m2', 'torch.int8',\n    'torch.int16', 'torch.int32', 'torch.int64', 'torch.uint8', 'torch.bool', 'torch.Tensor', 'torch.dtype',\n    'torch.device', 'torch.Size', 'torch.finfo', 'torch.iinfo', 'torch.cuda.get_device_properties',\n    'torch.cuda.current_device', 'torch.cuda.is_available',\n}\nTRITON_CHAINS = {'triton.jit', 'triton.autotune', 'triton.Config', 'triton.cdiv', 'triton.next_power_of_2',\n                 'triton.heuristics', 'triton.set_allocator'}   # set_allocator enables TMA descriptors\nCUTE_IMPORTS = {\n    'cutlass', 'cutlass.cute', 'cutlass.cute.arch', 'cutlass.cute.math', 'cutlass.cute.runtime', 'cutlass.cute.nvgpu',\n    'cutlass.cute.nvgpu.cpasync', 'cutlass.cute.nvgpu.tcgen05', 'cutlass.cute.nvgpu.warp',\n    'cutlass.cute.nvgpu.warpgroup', 'cutlass.pipeline', 'cutlass.utils', 'cutlass.utils.blackwell_helpers',\n    'cutlass.utils.hopper_helpers', 'cutlass.cutlass_dsl', 'cutlass._mlir.dialects', 'cutlass._mlir.dialects.nvvm',\n    'cuda.bindings.driver',\n}\n# The only ways into internals: device-only inline PTX (nvvm), and the stream handle that wraps torch's current stream.\n# The llvm dialect is not admitted: @cute.jit host functions run as native host code, where llvm ops (inline\n# assembly, external calls, raw loads and stores) escape every check here.\nCUTE_ENTRY = ('cutlass.cutlass_dsl.T', 'cutlass.cutlass_dsl.dsl_user_op', 'cutlass._mlir.dialects.nvvm',\n              'cuda.bindings.driver.CUstream')\n# No part of a cutlass name may be one of these. cutlass modules re-export what they import, so the CUDA driver\n# (cutlass.cuda: load_cubin_module, launch_kernel, stream_create) is reachable as an attribute of kernel modules.\nCUTE_BLOCKED = {\n    'export', 'load_module', 'find_runtime_libraries', 'ffi', 'extern', 'base_extern', 'BitCode', 'LinkLibraries',\n    'compile_to', 'make_ptr', 'cuda', 'cuda_helpers', 'driver', 'runtime', 'base_dsl', 'cutlass_dsl', 'compiler',\n    'ir', 'spec', 'BaseDSL', 'CuTeDSL', 'CuteExperimentalDSL', 'FFI', 'ExecutionArgs', 'JitArgAdapterRegistry',\n    'register_jit_arg_adapter', 'operators', 'kernels', 'testing', 'experimental', 'jax', 'torch', 'tvm_ffi',\n    'ctypes', 'os', 'sys', 'subprocess', 'importlib', 'builtins', 'inspect', 'json', 'tempfile', 'pathlib', 'shutil',\n    'pickle', 'threading', 'weakref',\n}\nCUTE_TORCH_CHAINS = {'torch.cuda.current_stream'}      # its .cuda_stream goes into cuda.bindings.driver.CUstream\nFORBIDDEN_NAMES = {'eval', 'exec', 'compile', 'open', '__import__', 'globals', 'locals', 'vars', 'getattr', 'setattr',\n                   'delattr', 'breakpoint', 'input', 'id', 'memoryview', 'help', 'exit', 'quit', 'sys', 'os',\n                   'print', 'super', 'type', 'object'}\nFORBIDDEN_NODES = (ast.ClassDef, ast.Global, ast.Nonlocal, ast.AsyncFunctionDef, ast.Await, ast.Yield, ast.YieldFrom,\n                   ast.Try, ast.With, ast.AsyncWith)\n\n\ndef _chain(node):\n    parts = []\n    while isinstance(node, ast.Attribute):\n        parts.append(node.attr)\n        node = node.value\n    if isinstance(node, ast.Name):\n        parts.append(node.id)\n        return list(reversed(parts))\n    return None\n\n\ndef _canon(node, alias):\n    c = _chain(node)\n    return '.'.join(alias[c[0]].split('.') + c[1:]) if c and c[0] in alias else None\n\n\ndef _cute_bad(full):\n    \"\"\"Why a dotted cutlass or cuda name is not admitted, or None. cutlass.cute.runtime is the one runtime module.\"\"\"\n    head = next((h for h in CUTE_ENTRY if full == h or full.startswith(h + '.')), None)\n    if full == 'cuda.bindings.driver':          # the module itself; only CUstream may be taken from it\n        return None\n    if full.startswith('cuda') and not head:\n        return f'{full} is not allowed (from cuda.bindings.driver only CUstream)'\n    parts = full.split('.')\n    for i in range(len(head.split('.')) if head else 1, len(parts)):\n        if parts[:i + 1] != ['cutlass', 'cute', 'runtime'] and (parts[i].startswith('_') or parts[i] in CUTE_BLOCKED):\n            return f'{full} is not allowed: {parts[i]} is private or not kernel writing (CUTE_BLOCKED, static_check.py)'\n    return None\n\n\ndef _launders(node, alias, parents):\n    \"\"\"Whether a CUTE_BLOCKED attribute sits in a chain that does not start at an imported name (a module kept in a\n    variable, a list item, a call result): the chain checks cannot see where such a chain leads, so it is refused.\"\"\"\n    while isinstance(parents.get(id(node)), ast.Attribute) and parents[id(node)].value is node:\n        node = parents[id(node)]\n    return _canon(node, alias) is None\n\n\ndef _cute_exempt(node, alias):\n    \"\"\"A with statement on cutlass context managers, or a @cute.struct class of annotated fields only.\"\"\"\n    if isinstance(node, ast.With):\n        return all(isinstance(i.context_expr, ast.Call) and (_canon(i.context_expr.func, alias) or '').startswith(\n            'cutlass.') and (i.optional_vars is None or isinstance(i.optional_vars, ast.Name)) for i in node.items)\n    if isinstance(node, ast.ClassDef):\n        return (not node.bases and not node.keywords and len(node.decorator_list) == 1\n                and _canon(node.decorator_list[0], alias) == 'cutlass.cute.struct'\n                and all(isinstance(s, ast.AnnAssign) and isinstance(s.target, ast.Name) and s.value is None\n                        or isinstance(s, ast.Pass) or isinstance(s, ast.Expr) and isinstance(s.value, ast.Constant)\n                        for s in node.body))\n    return False\n\n\ndef check(code, langs=('triton',)):\n    \"\"\"Return (ok, reason). The reason names the first violation, in words the proposer can act on. langs is the\n    task's tuple of admitted kernel languages: ('triton',) or ('triton', 'cute').\"\"\"\n    cute = 'cute' in langs\n    limit = CUTE_MAX_BYTES if cute else MAX_BYTES\n    imports = ALLOWED_IMPORTS | CUTE_IMPORTS if cute else ALLOWED_IMPORTS\n    torch_ok = TORCH_CHAINS | CUTE_TORCH_CHAINS if cute else TORCH_CHAINS\n    if not isinstance(code, str) or not code.strip():\n        return False, 'empty candidate'\n    if len(code.encode()) > limit:\n        return False, f'candidate exceeds {limit} bytes'\n    try:\n        tree = ast.parse(code)\n    except SyntaxError as e:\n        return False, f'syntax error on line {e.lineno}: {e.msg}'\n    parents = {}\n    for p in ast.walk(tree):\n        for ch in ast.iter_child_nodes(p):\n            parents[id(ch)] = p\n    alias = {}\n    for node in ast.walk(tree):\n        if isinstance(node, ast.Import):\n            for a in node.names:\n                if a.name not in imports:\n                    return False, f'import of {a.name} is not allowed (allowed: torch, triton, triton.language, math' + (\n                        ' and the CuTe DSL modules in CUTE_IMPORTS)' if cute else ')')\n                alias[a.asname or a.name.split('.')[0]] = a.name if a.asname else a.name.split('.')[0]\n        elif isinstance(node, ast.ImportFrom):\n            mod = node.module or ''\n            if node.level or mod not in imports:\n                return False, f'import from {mod or \".\"} is not allowed'\n            for a in node.names:\n                if a.name == '*':\n                    return False, 'star imports are not allowed'\n                full = f'{mod}.{a.name}'\n                if mod == 'torch' and full not in torch_ok:\n                    return False, f'from torch import {a.name} is not allowed'\n                if mod == 'triton' and full not in TRITON_CHAINS and a.name != 'language':\n                    return False, f'from triton import {a.name} is not allowed'\n                if cute and mod in CUTE_IMPORTS and _cute_bad(full):\n                    return False, _cute_bad(full)\n                alias[a.asname or a.name] = full\n    has_kernel_fn = False\n    has_jit = False\n    has_cute_kernel = False\n    for node in ast.walk(tree):\n        if isinstance(node, FORBIDDEN_NODES) and not (cute and _cute_exempt(node, alias)):\n            return False, f'{type(node).__name__} is not allowed in candidates'\n        if isinstance(node, ast.FunctionDef):\n            if node.name.startswith('__'):\n                return False, f'dunder function {node.name} is not allowed'\n            if node.name == 'kernel_fn' and node in tree.body:\n                has_kernel_fn = True\n            for d in node.decorator_list:\n                c = _chain(d.func if isinstance(d, ast.Call) else d)\n                if c:\n                    canon = alias.get(c[0], c[0]).split('.') + c[1:]\n                    if canon[:2] == ['triton', 'jit']:\n                        has_jit = True\n                    if canon[:3] == ['cutlass', 'cute', 'kernel']:\n                        has_cute_kernel = True\n        if isinstance(node, ast.Name) and node.id in FORBIDDEN_NAMES:\n            return False, f'use of {node.id} is not allowed'\n        if isinstance(node, ast.Attribute) and node.attr.startswith('__'):\n            return False, f'dunder attribute {node.attr} is not allowed'\n        if cute and isinstance(node, ast.Attribute) and node.attr.startswith('_') and node.attr != '_mlir':\n            return False, f'private attribute {node.attr} is not allowed'\n        if cute and isinstance(node, ast.Attribute) and node.attr in CUTE_BLOCKED and _launders(node, alias, parents):\n            return False, (f'attribute {node.attr} is not allowed here: in CuTe modules the names in CUTE_BLOCKED may '\n                           'only appear in a chain that starts at an import')\n        if cute and isinstance(node, ast.keyword) and node.arg is None:\n            return False, 'keyword unpacking (**) is not allowed in CuTe modules: pass compile options by name'\n        if cute and isinstance(node, ast.keyword) and node.arg == 'options' and not (\n                isinstance(node.value, ast.Constant) and isinstance(node.value.value, str)\n                and 'link' not in node.value.value.lower()):\n            return False, 'compile options must be a string literal and must not link libraries'\n        if isinstance(node, (ast.Assign, ast.AugAssign, ast.AnnAssign, ast.Delete)):\n            targets = node.targets if isinstance(node, (ast.Assign, ast.Delete)) else [node.target]\n            for t in targets:\n                for sub in ast.walk(t):\n                    if isinstance(sub, ast.Attribute):\n                        return False, 'assigning to attributes is not allowed'\n    for node in ast.walk(tree):\n        if not isinstance(node, (ast.Attribute, ast.Name)):\n            continue\n        p = parents.get(id(node))\n        if isinstance(p, ast.Attribute) and p.value is node:\n            continue  # only check the longest chain\n        c = _chain(node)\n        if not c or c[0] not in alias:\n            continue\n        canon = alias[c[0]].split('.') + c[1:]\n        full = '.'.join(canon)\n        if canon[0] == 'torch':\n            if full not in torch_ok:\n                return False, f'{full} is not allowed: allocate with torch, compute in Triton'\n        elif canon[0] == 'triton':\n            if canon[:2] == ['triton', 'language']:\n                continue\n            if len(canon) > 1 and full not in TRITON_CHAINS:\n                return False, f'{full} is not allowed'\n        elif cute and canon[0] in ('cutlass', 'cuda'):\n            if _cute_bad(full):\n                return False, _cute_bad(full)\n            if full in CUTE_IMPORTS:       # a module object passed around would escape these checks\n                return False, f'the module {full} may only be used through its attributes'\n    if not has_kernel_fn:\n        return False, 'the module must define a top-level function named kernel_fn'\n    if not (has_jit or cute and has_cute_kernel):\n        return False, 'the module must contain at least one ' + ('@triton.jit or @cute.kernel kernel' if cute else\n                                                                 '@triton.jit kernel')\n    return True, 'ok'\n\"\"\"Check a kernel on the public shapes before you submit it:  python check.py [solution.py]\n\nCorrectness against the reference on the public shapes (standard normal inputs), then median CUDA-event times of\nyour kernel, the starting kernel and vLLM's kernel. The verifier checks much more: edge shapes, hidden input\ndistributions and cheats (torch math, cached results, timers, streams). It times you against vLLM in a paired,\nL2-flushed run in a separate container.\n\"\"\"\nimport importlib.util\nimport sys\n\nimport torch\n\nimport static_check\nimport task as T\n\n\ndef load(path, name):\n    spec = importlib.util.spec_from_file_location(name, path)\n    mod = importlib.util.module_from_spec(spec)\n    spec.loader.exec_module(mod)\n    return mod\n\n\ndef median_us(fn, args, n=50):\n    for _ in range(3):\n        fn(*args)\n    torch.cuda.synchronize()\n    ts = []\n    for _ in range(n):\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record()\n        fn(*args)\n        e.record()\n        torch.cuda.synchronize()\n        ts.append(s.elapsed_time(e) * 1000.0)\n    return sorted(ts)[n // 2]\n\n\ndef main():\n    t = T.TASK\n    path = sys.argv[1] if len(sys.argv) > 1 else '/workspace/solution.py'\n    with open(path) as f:\n        ok, why = static_check.check(f.read(), getattr(t, 'langs', ('triton',)))\n    if not ok:                                  # the verifier rejects the file before running it\n        print(f'REJECTED by the static check: {why}')\n        return\n    sol = load(path, 'solution')\n    base = load('/workspace/starting_kernel.py', 'starting_kernel')\n    try:\n        vllm = t.vllm()\n    except Exception as e:  # noqa: BLE001\n        vllm, why = None, e\n    for shape in t.shapes:\n        case = t.make_case(shape, 1, 'cuda')\n        exp = t.reference([a.clone() if torch.is_tensor(a) else a for a in case.args])\n        sol.kernel_fn(*case.args)\n        torch.cuda.synchronize()\n        ok, stats = t.check({i: case.args[i] for i in case.checked}, exp)\n        line = f\"{T.shape_key(shape) if hasattr(T, 'shape_key') else shape}: \" + ('correct' if ok else f'WRONG {stats}')\n        if ok:\n            line += f', {median_us(sol.kernel_fn, case.args):.2f} us'\n            line += f', starting kernel {median_us(base.kernel_fn, t.make_case(shape, 1, \"cuda\").args):.2f} us'\n            if vllm:\n                label = getattr(T, 'BASELINE_SHORT', 'vLLM')\n                line += f', {label} {median_us(vllm, t.make_case(shape, 1, \"cuda\").args):.2f} us'\n        print(line[:400])\n\n\nif __name__ == '__main__':\n    import contextlib\n    import io\n\n    import nodus_autosave           # best-version autosave (hardened export): /workspace/.best\n\n    class _Tee(io.StringIO):\n        def write(self, s):\n            sys.__stdout__.write(s)\n            return super().write(s)\n    _out = _Tee()\n    with contextlib.redirect_stdout(_out):\n        main()\n    sys.stdout.flush()\n    nodus_autosave.record(sys.argv[1] if len(sys.argv) > 1 else '/workspace/solution.py', _out.getvalue())","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01CBMhmRVmZeuH5MWmQMXq56","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fv39FhWXa238ataJbT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The memory directory seems empty, so I'll check task_api.py and nodus_autosave.py instead. I'm working through the FLOPs calculation for this attention setup with B=1, Sq=256, Sk=131072, HQ=16, HKV=8, D=256, reasoning that since Sq is much smaller than Sk, nearly every query attends to all keys.\n\nRunning the numbers across several shape configurations, the expert kernel consistently hits around 1.4-1.6 PFLOPS, which is roughly 60% of the B300/B200's dense BF16 peak of about 2.25-2.5 PFLOPS. Matching that performance with Triton on Blackwell will be challenging, though Triton 3.7.1 should support the tcgen05 MMA path via tl.dot with tensor memory.\n\nI'm also checking TMEM capacity constraints for head dim 256: with BM=128, the O accumulator needs 256 columns and S needs another 128, totaling 384 out of the 512 available, which just fits if P aliases S in bf16. FA4 at head dim 256 apparently uses 2-CTA clusters with tcgen05's cta_group::2 to span M=256 across two CTAs.\n\nWith GQA packing 2 query heads per KV head, I'm working out that for Sq=256 and 8 KV heads, there are 4096 total query rows (32 tiles of 128), and I need to figure out how split-KV and SM count (148 or 160 on B300) interact to keep the GPU fully occupied, plus whether packing both query heads into one M-tile of 128 helps amortize K/V tile loads.\n\nNow I'm thinking about smem bandwidth constraints for tcgen05 MMA at M=128 versus the 2-CTA mode (M=256) that FA4 uses for head_dim=256, since 2-CTA halves the B operand smem traffic per CTA, and I'm checking whether Triton 3.x exposes two-CTA MMA support for this case.\n\nSince Gluon isn't an allowed import in this environment, I'm restricted to standard Triton tl.dot, which on Blackwell compiles down to tcgen05.mma with TMEM accumulation anyway.\n\nWarp specialization via `tl.range(..., warp_specialize=True)` is the key compiler feature here, which the fused-attention tutorial uses on its Blackwell path. I'm trying to recall the performance ceiling this gets to — the Triton tutorial kernel for hd128 forward attention lands somewhere around 1.1-1.3 PFLOPS on B200, versus FA4's roughly 1.6 PFLOPS, with the gap narrowing somewhat at hd256 with 2CTA kernels.\n\nThe task's bar requires matching at least 1.00x of the expert implementation's speed, with reward scaling as log2 of the geometric mean speedup over vLLM, so any improvement helps even short of the bar. I should start by measuring the current baseline, checking SM count and clock speed, then work through the split-KV design: with GQA packing and 148 SMs, I'm estimating roughly 32 tiles of 128 rows per batch, needing splits of about 4-5 per tile to map onto ~148 CTAs, each handling a chunk of the KV sequence.\n\nFor compute-bound work I want all SMs balanced, so I'm considering a grid layout of (num_tiles, num_splits) chosen so their product lands near a multiple of SM count — like 32 tiles × 37 splits ≈ 1184, which is 8×148 — while weighing that more splits increase combine overhead since each split's partial output (128 rows × 256 dim in fp32) costs about 128KB to write and merge.\n\nChecking that math, 1184 CTAs would generate roughly 155MB of partial writes/reads, costing around 44us at 7TB/s, which is too much overhead. I'm instead thinking of partitioning total work into blocks (32 tiles × 1024 blocks of BN=128 = 32768 blocks total) split evenly across 148 CTAs, giving each about 221 blocks to handle over a contiguous range of the linearized tile/block space.\n\nThis is essentially a stream-K approach where each CTA may span 2-3 tile segments, writing partial results that a combine kernel later merges based on which segments intersect each tile's block range. I want to keep the partition scheme simple enough that the combine step can compute segment ownership directly from the linear CTA boundaries.\n\nCausal masking adds complexity though, since the key range each query attends to grows with its position, so I need to figure out how tile boundaries interact with this shrinking workload near the diagonal, especially with packed GQA heads.\n\nI'm also wondering if hidden test shapes could differ from the given ones—since the notes mention shorter chunks and pure decode are only checked for correctness, the kernel needs to generalize well across a range of Sq and Sk values, not just the specific timed shapes.\n\nThe real optimization challenge is the inner loop: on Blackwell, tl.dot lowers to tcgen05.mma for the QK^T and PV matmuls, with softmax happening on registers loaded from TMEM between them. The expensive part is rescaling the output accumulator since it lives in TMEM at fp32 with D=256 — I'm thinking FA4-style conditional rescaling (only updating when the running max shifts meaningfully) could avoid much of that overhead.\n\nStill writing accumulator correction logic...\n\nThis warp specialization work (Meta's TLX/autoWS, merged into Triton main around 2025) partitions the loop into load, MMA, and softmax partitions, reaching roughly 1.2-1.4 PFLOPS on B200 for hd128 forward attention in the tutorial benchmarks. For hd256 I'm working through the TMEM budget—O takes 256 columns, S takes BN columns, and double-buffering S for warp specialization would need 512 columns total, which just fits, though P might need to live in shared memory instead of TMEM.\n\nI'm also checking whether P can stay in TMEM as the A operand for the P@V matmul, since tcgen05.mma allows A from TMEM while B must come from shared memory, and estimating register pressure—loading S or the rescaled O from TMEM across 4 warps could mean up to 256 registers per thread if done in one shot.\n\nWith 256 columns, that's too many registers and risks spilling, so the rescale likely needs chunking similar to the hd128 tutorial's split-into-halves trick, but extended to four 64-wide chunks for hd256.\n\nAnother idea is avoiding big rescales entirely: FA4's conditional rescaling only triggers when the max shift exceeds a threshold, otherwise it keeps the old max since values stay safely bounded. But implementing that in Triton means checking whether any row across all 128 rows needs rescaling, which requires a cross-warp shared-memory reduction and sync each iteration — adding real overhead.\n\nA per-row alternative using a masked scaling factor avoids the reduction but doesn't actually skip the TMEM round trip unless the compiler can elide the multiply when unnecessary — and that TMEM load/store is the real bottleneck, since the accumulator has to move from TMEM to registers and back before the next matrix multiply accumulates into it.\n\nA scalar condition instead requires reducing across the 128-element row max-difference tensor, which means a cross-warp reduction through shared memory with a barrier — maybe 50-100 cycles. Given each iteration's matmul work takes roughly 1.65 microseconds (about 3000 cycles at 1.9 GHz), that reduction overhead seems acceptable, though I want to double check this reasoning.\n\nWorking out the cycle counts: QK^T and PV each take roughly 1024 cycles, totaling 2048 cycles of tensor core time per iteration. Then checking softmax cost against that — with 16384 exponentials per iteration and MUFU throughput around 16 ops/clock/SM, that's about 1024 cycles, roughly half the MMA time for head dimension 128.\n\nFor head dimension 256, MMA runs 2048 cycles while exp takes 1024, so exp isn't the bottleneck if it overlaps well. I'm also tallying the other softmax operations — scale/subtract max, exp2, sum, bf16 conversion, max reduction — each running at roughly 128 ops/clock/SM, which adds up to around 512 cycles for all 16384 elements combined.\n\nAdding in the O rescale and TMEM traffic, the ideal per-iteration time looks to be about 2048 cycles if MMA-bound with full overlap, which would explain why the expert implementation hits roughly 65% of peak throughput. I should check the actual B300 clock speed and SM count to verify these estimates, and I'm also considering how 2-CTA mode affects the per-CTA row processing for head dimension 256.\n\nI'm working through the smem bandwidth constraints for tcgen05 operations at different M/N/K configurations, checking whether the QK^T and PV matmuls fit within the per-SM bandwidth budget — the QK^T case with N=128 looks like it sits right at the smem bandwidth limit.\n\nI realize that TMA writes bringing new K/V tiles into smem also consume that same bandwidth, so I need to account for total smem traffic per iteration rather than just the matmul reads, since the TMA copy-ins and the QK matmul reads could be competing for the same resource.\n\nWith N=256, bandwidth per K step comes to 96 B/clk, which is better. Now I'm working through the 2-CTA case where M=256 splits across two SMs, each holding half of the B operand, and trying to figure out how the tensor core reads the split K operand across both SMs via distributed shared memory.\n\nThis multicast approach halves the smem traffic per SM for the B operand reads, which is likely how FA4 achieves such high efficiency at head dimension 256. I'm now wondering whether Triton actually exposes this 2-CTA MMA capability, recalling that Hopper clusters have `num_ctas` and Blackwell may have some compiler-level support for 2-CTA tcgen05 MMA that I'm trying to recall details on.\n\nFinishing the bandwidth math gives roughly 125 B/clk for BM=256 versus 156 B/clk for BM=128, so BM=256 is more efficient, but TMEM capacity becomes the blocker — two 128×256 fp32 accumulators already fill all of TMEM, leaving no room for S, so this configuration isn't feasible with D=256 unless I can find another way to split the work across CTAs.\n\nActually, I realize Q could go into TMEM too, since tcgen05.mma allows the A operand from TMEM while B must stay in SMEM. For QK^T, Q is A, so storing Q (128×128 columns in TMEM) alongside O and S would exactly fill the 512-column budget, though it leaves no headroom for double buffering S.\n\nGiven these constraints, I think the realistic path forward is to just build a solid Triton baseline with split-KV, TMA, and warp specialization — picking BM=128 (either 2 heads × 64 queries or 128 queries × 1 head), BN=64 or 128, D=256 — measure its actual throughput, and iterate from there rather than over-theorizing. One useful trick given GQA's 2 queries-per-KV-head ratio is packing both heads into the M dimension as 64 queries × 2 heads.\n\nComputing it out, HBM traffic for KV at this sequence length works out to roughly 1 GB, which is substantial and worth keeping in mind as a potential bottleneck.\n\nAt 7.5 TB/s, reading 1.07GB from HBM takes 143 us, so HBM isn't the bottleneck if L2 reuse works, but if each tile redundantly pulls its own KV from HBM, that 4.3GB jumps to 573 us — meaning grid scheduling order matters enormously to keep concurrent tiles sharing the same KV split. I'm now considering whether a single CTA could instead handle all query rows for a KV head within a split, though that runs into limits on how many O accumulators a CTA can hold simultaneously.\n\nSplitting D across CTAs doesn't help either since it would force duplicating the QK^T computation. So the real path forward is scheduling CTAs sharing the same KV head and split concurrently so they hit the same data in L2 rather than re-fetching from HBM.\n\nNow I'm checking which Triton features are actually usable in version 3.7.1 — TMA tensor descriptors with a custom allocator, warp specialization via `tl.range`, `tl.dot` targeting tcgen05, and whether `num_ctas=2` enables Blackwell's 2-CTA cluster mode for dot operations. I want to dig into the compiler internals to confirm, then verify the hardware and Triton install before writing a first version based on the official tutorial.\n\nI'm also thinking about measurement overhead: since each kernel runs around 400 us, CPU launch overhead stays hidden behind GPU execution, so timing with CUDA events between launches should be accurate even with two kernels and a workspace allocation. I want to check how the fused attention tutorial is structured in this Triton version for reference.\n\n","signature":"CAQSyrsBChAIEhgCOAFCCHRoaW5raW5nEgzLTOAZ46NCeXYt0HsaDBRjuMvPR6IsuyoAiSIwp9iB/+X3hFeP0L+NZBuVfmWpclFVz8xduvBMoSmYXLceXvwkCiFYqH2hlSL0NgdUKua6AYc7LMpqjpKlQBlOCj/K27lgMcxAUuVXir4er8A9B7i+/BA7qQiecFdkcLoIMfhQrfGyw3lt1yTs/gAcq8Pj6nf6QqlltAsZYXvqKQYa+so8X/n+uQCuAe0sKLD+frI+gyaaDErPbbpqWqKmK0CFXw8KJXhYckFQDy7DU7vv0d6YbEI9q+PvOpbK6uRk3H8pm4a9jpQFxI7C+UOJjs2ARuDBjF9XMOEVF7R9X8w2jyDd7JcqiW0Y9EToUPm8fDep6WwRgJz/8+amIMh6IIC89dpsSmK6M8S5q/UWEINTW0TF/z9SkYecQXCT19ExwHnelwW/uxDjyB6/ayAIyHfwtxKU7iS9N3wS8p/a4yB6/+XupHJ57OFXT8c5tuOHHzefPvh8vOAXHmL/8djHg3l6k7MR0a9YfGxVBlwaW154JL21l5Jm6n7S0cDc0eDjbLhTd/LbPDEvpmMactCyrD8GViq1oRrHhJFr7qqoSNFkXFqC+nZaVXYjha5AVZmGDepgGbxJEqRNsG5C6uMEZNewPk88/SCptXU4LcXrJvFbpbCRSOKlpRue3qYVqNEjIifTYHX05mkvuyifoVVZS9FsSeO/0FG2Xp4rrQsD5FQFeAaRSVkXJ7WFmsXV5P3XWdRO1wSuPQPZIYkJwCP1NCJHQt/hQUplw71vNJvwo9Ed0H7AG3o9/BnQmz2iOufBgvIlUvNM/go8UjnwT6mCTR107KXWLoq/mVuKSeYx6jg7QQEo/51sLkJDPpe9pljzNWtI4zknNMu8riuoZL2u79uniVSgT0cvux6krbLleRrI9tvaxm2zJDB1REcVZ73jg3RgasHB69IKvDyahsj5kzotBGMsia1+CyFKX0tVEgaJlGZ+k22VFd59Sc2e4iRea9gj7EJQ2adsXFwKR8Nxk7lmIUdHa2GfZgi2lzDJT/koneZIvMc1uqgCOfClaZ1jZcYf6h1VFxBZU8/AudmeCCGRTWJlaZRAVkid7cYtAtNXA0kyMW59neVZkV5hDfsvcaZWzZ26MtlArAD/vH7CKXKKoOAaRLmn3XEW97lz76OFrcCXEYavJ6z8ySjTpz0OBdmNj0hNiUdl4EDLqh3ik+2ixInGk/93BmGQ5ILAwgl3k09itgZ1GUet8OryzPbWM5Fs/n7xF6e3cvTyZaS0mJkpOaF7+jj/tGmT7FvCQsRApECyYTjCLlHrIM9wswB/2V1ukoKIv0OQ8/tlyFl3L9iZ7sfW7i8JDUSoKRzthAldkb/f3azefeOlKRV6sHJeGaFt/jFbaAu+HZGzIfPNrIsjTr45XZA9LGogWKEAjaXus7DvDdEDmGLwI0nfeH9kX4ogjGuvhl/Wl80TaknmjnWNrjCHiF/QWsbeENWqGc/81MZlo4cBtIveeRjiMA2BjItB2tfpoKmaheMvyvxZe36FsNIvJ95zsIlAZz/HOnGdf+rRF8AwtRweD8fIQxJQHsqwqWCFJyyoNFkgh/kd5j6atrGEvGWgFA5xwRFOSKEQn1XDlKorukEv7hZHG/++NRBE+8bMn6WhoZdLLZdn+pgfJtznFpHlr9/VvweT2yzIfr+bvsPeqXSUktmaVuD5olnsMh23sBz1sArzKqHZ9/borEmYez7xhULXlZ/LDEPtdRaMgKe208KlF/S4z5P0yRDrus3/SClJaTo6owr69gFu5rIk5siqd7irZYUcJOnoMJMsV09df6UB/zRV4V84da+OB7Emg2Bktb4wfSQWlX/beHaEpPloihARUxVP6iHzG96MD/YTxSvKP4JLI2S+3H0ayOQzZbMlFcdS8vY4gJeKbpYL1GQEAp04wzVFDMY0VQTAyQPQtdudliy0f/jQ3fFjoT6/kCoPLOGrTYHgCM1l7waqVERW2LQPV6JRARFMWSrwHKUGpsJh/Cv6TKINDfiii8CATYVQyocS4s4/BKoxoXGIqmLPOJq4Dvk58f2Q0aIRXFX3LDYf3rCJkAzLdJZBBm/TxJ4aDHYqxdh+iezac9CI2+nCBZjmurgY5okyYYAT6rw0wQM2Z4JeLYHIoM84nNVXF8HgzOvfpydsBXK4AYwbJJfa1R0mghNmfC+5s103u6zrwxQO6hGKL2WZuenCCnlG4+2t/XYWB9uYWF190rLShE1YNDm6IK1fViLOeFuY2dtcxxhTeWbTuKOA4eviRh8voUIy47nONUqcKGw+Or9L1+6yl/+WGLOddA9vH3Hr70GCcRYUADvg4p56L3DmlARZZ8zgACIGZFsdqVcmi/barkU83bEbmG5XfEvitSj/nYJZ5bczwNTMdm+vJI6BAcOSIrwAfis/D2dYufFI9KpebQ+4O1ohAMp2SZDE2TiHQdFYLTEhkKIbyxwvfvXkgSTAXkmZ1XnqJ1Y+steyvdT5X/kyDJqjmwUKD153J/5DsLmCx++Ho6rFopoKIloVlkARbPU9Q0uy/VpC8UEbxyjg2BxA9OgMaTRGbT9rjbpSb7kYtL6XLyxd00WwhtcgpiwgN8P2swnAsCqx6m7NLm1syN6Mb/Muq7XhreMV8Xf6Wi0AlSKYeAcrf2wIuZeSOjcetLMjjNxoXmlYSG87FwBINPgltWZP0qBUOl672TOAOA1XZOirueJrH0moXyggAS7VEhwTdPn40ox6StWv/bHuc5G6rOiVF43csqRal+sCs+DP4jk7D7gbw/MduDflxlf127VS2Kq4cRYUhrfnUp7E4wNp/k8x59GH2IQlUSiqLJw6/Ww/2k5BfU4tq2X1EPDNkj2DqHEZ9OCh9l2wk0pelCx1GK48la6sv8aTJw00fSTRw3//YugRj3D8rx9FFii1F1GHhOtrhK7j0YWGwWif3gpmXBNC+68JMuZ+fqjAG9FDh6/uYFCWG21X4bE5heJgVFSQtlY9CmuWPCxibtMEW1RdKRMn1k/LQYelvMI8jWwwLjYgwwHWEU9X0Wio31GXPl7yqnrfjVT+QIePc0UBhYKvS14ctsAO0ePpz8+6vH/h/3/sdDchNF+YJitSuTpq78+H9yxr+CJM3l1OxbJZoP/FuDYb7xE/LQKdaWNp2jW6TDAl6YrbNqlgo4m2da7H9lNMjqJ5HGumwLLdPT5fsgYe5oNAXbCaAMoQfDyGLCZFyIHWDryAe7BZFk1IJL7PYQKIdBK90CcL9NZADLtDhr/VEz3vFPIRsICi0nyjdEymHROLSEsxIwtQMoq+S5TcDf0mShkbpfviz4WtndviPjXkiu77Ci3MGxQpiXkv9SRSKhGjV+5i/1R9AgMhCCmXBY1nB7bTl+rOjhWImhXu4nv0+9uqEbrV+kce0SwHx0RTCZADvsUtzs8XgRrcBroUESeP2QmBYPgnLuXYbuPKi3Df4vZmum1S8K59sAZkXRwl+UAzB0fppndfWYP6kC+EKl/LTA7Wb+zcXkfW424+97S7Za9cgKWgcPBMPlLv8HeUK7pofQ2TAvPbZcVQ+u4FRJajggA45JSalhsRPdACAq94S0O6+JDz6Ncb1ZC+pvXdrTD+/DcWBxKfOdZ1WXBhzBoLH3g9uTPV6TckAoiDdin5/DehAZuS1ll43XBjd7/r7tnkrz6yMVEc0BHb8g1ZD9RZ0cf5IHbRvI85HxT2HTLYieBjjXSp7oeJA/R9reMo/xNNoaX1z09K5M8NN6vmah7p5KCBX54BtAjxhacHWr87MU7dnVWr/cRE7e6Nl3QqwRo3SAqHYWEodFlRLjOL6RK4xYi8Gc2D8N+dpSFbXnfDUKOUDVeteKYynZqNw/jgaIE3N0cFOt+flxjChGWFFtMuWvg1jR5O4Y0zGqOgxJfQCeAaLz3HH30IfKHNpJJTrGRfR8Hb5iVq8F2PBcmnbU73LQdO7LOxCOqvkj/XXgNr5FGmWfsIBIM1sr6Shy32Wh38dvIidgr9F2Wt7PTENNLU0Iq48IlVOG2/q3V/rDjDRJylvVOrMhTM5gW4LifRU1/oKkkTW2lL1kHhcU7nQBCuD5wp51z5PiX8TXOnt9sgYBf/uAKixP3HLXaGJ/CH3dSEROvFVT+MUEAVOkTax0mYcsE4ux01+y2jyrR3q42E5Wd/kirDXcY1tiRftBjCuNvDIqXo0/8qsexHkABedCTN19aSABS04Cevpt/F5sIe8fqE0HAiR9TQ3OWpO6O+bde3lK1MSfG/l9w1KaQpUszdy3kPuWbopuwTOeK8yBi2kbxJSTs6EbeA9yxnKzp091Dh1te0JbffpuBPsw499MPT6ydZ5IKrDpYpLxZkG9JUGWibx1pMktrH4+UK0Kd2vI1NTE8QUaS+Phxdj5lyRJdQdW10AqZbDYaeNuu7s9uytXwjdgFqVr/ZnDeLpXRFp60hAbD+9foovUqP/SvxcOmi9v/hKkc3ecrTG1NWim3/RUBj/Yuog7D/79aZg4IZakB2VhoQondYpHAnHkZInllX6YnUHxHqXxHxhiBrlklO2Gqbj2i3rvMn7wX30hdoFstbAe/Bf/bSK9l+R+5BcUBNSMjouVxcOka5smiEz89whtzi9tv2YwWDQ2SYXZHg8wEDlX+kJPOrkB4mc33/00PijRLK8i7KQ3vC3ew0UchGRAnkV7CtFpPqym1eFuLLBCsCmrBVLIFD/HSd4FyUg17PRqEqyX3p147CacdpbDiMPChj24xCs0cS2n1/tJwEmuHvHwaAr+UsNXHxIOaMGG/17w9GvLpG24XWtyS5kxFhSmE8h450VzSl4gRoCJtvhFPd27B7wblFIfHDdD2MMrCgiT03Dqg/e+cDzdgwveff4iNvXAKy+LyqpyKnNZ49ZumIj25Hq2H3c1ys6QbegTIvyxzB1H1Yfz8puuN4SMapxUMzG/2O3uPnnFKhCuWY90K5IvLLjtPqvGJTJ5sTAGAo99WnDcP/wJn5079CuyH9SdIAJcCj+Lb7QUXyNINm991mxQpGUvGR1TcMvHkyU0A1/QksOLPIPJJ0616tFI/MW8xqcNVkSiVeSCS58ulw1tCUgU7tUvPFxnQoFFR//gz13RoefqMqm+uaTt1E+5egh4orvCbUkX7nxM64zRB3U+XY61Ck/FYkB8lg2XSCxcS/DQmYP+alrYC0duhb/0NdjnWYwDSN3mClD06JksH7OO7nLtlRa7+IfWufWfr8LneD3F51zW583eNOoiIfPb6QUCDwM6V6fZMFOuc108EZgV9nkhrjSAUlTKqT8UpR9K/62KnvOpFZxhr8rxzyVxyEYqjcGn1nISEJT4Xlo2pw3r0V78fZ2PTgXWo7W/bA7VhX+v//l3aHlcHdDSVXj0G2URDgxrdHBnGBBcKZt1iBVe9MIIXave3rnEW7KgdbEX+N2i8l/w8NPrPdDMhv1YDlWZ2M2HCo+DfEoUaW1LmFKXKeSJTLfcCNXDykfh/1SXuv9g8SxI15E+qOn6L9GhXkxb81CtVv0zYT4lOnaXVFipMgYm+ope7wBtyx9jVta7MksjWvb5iWuqDW0FStTf6Jc4RxVma7JcgppIjFtivPcn2OuRJONpp3z1OgNUBTPkbu+EtrHZbcsfAX11GEjNpG8U/St1iQGaGmdTndjgfyHw6+H8q7sVmxg+8U1N5YHnAH51J5cHhpFvuC8VG5zfUaSEBHEqvfGpfcEnJ4qz15Af2M6sL5153nsQPpT27osacFq6OpvfLj9Qe39fQnbN+grvjJ3OSCBSz3HivrMvK07yd5mRyMYUb2BeL4QJlNY5TP7ja22V7c4RQ8qv56+nvtGTOUKzcuLsyyYfBk1OVGUiO3rw2dHSBKXHFQ8VODffRTiMlJ5zb/azORecpOIOfter8sO6rnQ9XvIjipKfIwHS3My85E5IDIPt+E2thvxv/L4hLUllIJ3J1ptikpDy5gzj0Ea/JHpDUWLoZW3+dRbrBBd4rSoaACg1SDpYeAHDNEk8zE/umEp1+I/avDuZuPLVm7KmM+51CS4R4/uPxe3mRkIp5zONaqrFUZZjc9SFUm6cWmncSExpReH+ik9HgXxoHOAijUDMKMG3hjqolYNIM+Y+5mmnnDkEGWVcEwtwVGen5knqzzQ0CYb8uLf/OZGVHQp6vT6S2WqJB8rwUO3E63QRSu/Iw+EzTHyG9YsXTVpKRY//cQKYuPCd/k70HWN9RrooHZ9td65Xa8vy/yF2xq65iwmgGUm5X6PgjOSYbCPBpLU+UeZKUYR5VlvGw/mbg554uaOU/olwb0Zb0T6DFc0KUPC3bggtbheMM6BfWkURFC+kml0z6Oc4E+0N7jG965vdDYScKqfj0sTzDuAbpTN0FPOmpzhZO0gITuzR9xzw072a9OMqKxjZavn3j1STpuSWpG9bDL8vyt7SMKOtOhVFZvOjykoJ8+HUpUxskJ8LC1zoRCH+3N3l/c0GzibOwKOT2g+58GzRoZMCzXE3+FcWeCibz8ZeEulxcRnbJ/jEVno7t6/ugw/f6QgBIdE0W1jzhIHtdoqoYcYlSivCKG3geVAiyNy5/h7VCdMuG02NbPgmPpSLywmqhqd8MaE4Oj3INdLPXlV4MBApt1qNquy/ylmbnZIashdxToidLmzb1vmCswq1LXOuUdTaGdOGRj7NyfQuWN9JmM4vwXcweYpIqzazGEVjdhPaM7Q2UJ/OWCoUqHnTnufipvMOoYrUJxv8Wa7pmmWgaGArFxXlutqrwg+YDFIpBAp4U7WIlV0Kaz1CqdBByVzVyVsJELHFssApLrEefmIJbRHpjHhWxwngOvbWNsYqUxMy4Ym/Fs9N0O05iGyxXnRWxajQNABDCA3uA4Dc3FqUPtPKAMsrMSPHNaAPSeuxOlm6WXue9EUOVIPXIIE7W5MMqOp14LTujV6SDPGmt09lmPDaO4HXtPPhCS8yNNxgnottNbeUmKCWg4a/tT/1zx0cR3C8k2PBb4wspEe8hkz3p8wGhgBh21FxixCoOVq9w1MIuU6Y3z1A54A51ymfy1O64dnwu78uP1AwStaxEbOhphv8PJyOrPR7oi7HPARvRh//RjKSOrZgmJyricA99x1RlwhAIeJiXEKE3LLkNQU6dnUThkDl0UK65Ye2oQYO+4LJ2yFBSs+ubwHh6H0w8PKBhDwNtnBpmzV4CQKVUf54/KFEX72exlgDnvqICJen+IA1+hWNaLkw4RnNdoDkqachtQHR28LDbt2OqGUylqj9Ig2xWSQplbzMsKg6dclgsGJwqjZ/fM0XwnJTUhab2tHI+SjT5SXSRf6ta1viv6ghL5Hy0x9J16a9ftE7rjm8UP84tFWagNixhon9CcQsaq4KtYeFnx5LjNuo6oQIoFGjiWBoQ1r6vc331HFa4ehxOsmREgSOnqhe3W8Aoj5Us9hrowowhFO/skkmU8ABnj7GMk6zrCipthJw+ahOpMEjgs5yTDdOHTX1motXXWeL85NoJTMRWeIxWT+muiS5LTeIN7o11KSwVYi5m34q8zVczt1gn0Dwv5Q5oFGSuCfcfx5eMClKrUjdDnp9npD1IJ3jJ5ZRg2VN2R2syh2urs3OzrtB+Y4V7j7+f//LyuRdNKvHmceCdz8O3EQZIqinlSUZdg6+Y+ajT9768q7z0syrzzrqF/aUBZZ+sZHFpvQtTciv1zv3F5jGFFYOGW0FyWcU3e4RlF7w4tc5vIlRSm+rbyuj4n6pwPs/XhkJOFS8uuoPFFu+QMyf2B3xO5ky6MoJrE9k+JupVv/TE33V7zxrEmKqr9Ke1SXQFqTZLdYxRPqlNfHVwcKfoXFkbcatiUEHKKtvxFkzdNKepY4+UcIW5Fv35fvxV/Jmm0COQXYNopYu8TS3BzkOnwXoyIUA0pagDlp3kS8Swc6rXk8wKHylIHFXT7TA8zS4PpW3V/Lm11nz19Go/9wXVlsNuY1CAuej5wGCAZLahq+uHd7vEQ0s+V0Ijk+1ctf2zCwOmPtqQgesSBZ18f4OwYh/PErKODZ2ZXM+AudziyPMkRXP7MglP08yCsxd6gawuqNEIdEEJ3NLfF1yA5BT/C69tM+m1UTPpY63Age1TVX7B3GNiKtkPMuc0gK/kTn/ig/l38aHgkuiiKfEUTAhXCuAmtOtvZPGd1tkvC8ZxTu6Jv5n+lE5Q0PUiB3mElfR2ohEKZmFqnw0jjVYOYY0uYoV2G4SHhLJJIxdim51Kzm/P6ruvvnRJ6Xqkth+I1NbNVwI3V4PfbPw1xhYVuZx7zESdwVSKz3vOI85RF5w1zodBgJnq4vRzs6s2OnK2NqzqLFbAM1HGnK2mq9A5KPKpppUQmqpRsUvP0pJzkTzZcNEWY0tLQtWiAWkboBZERdn2n7/kajhTexndp5qu+7E+Q2IZGGWrKswYpFfHSNqcTCzacDtAz2NJMe5ftaIrNsXTskdmJwemk4O7xG47qODqjCScV3KQ9NEVO8meMzyzkMN1bkoZlm4lyP6Jbq2/ZURvI18BJBC8rEdoXxHdSrxJD+M/GRybGHA19y7c7Opc4eyfCcoFAs+IHyaoUtLYAwDtUqRDqq/8IH0kQHD5z+hskwUKszt/fdac0V08qe3Q1MhbVP/ogc2cq4iso6ahVTBh82nECUeXNzSH8KgQD317uDq5coS0nOMIzzB/xDYO8Zoy1G4o/Ot/2UnSBfgtj356Bq+evv/2gohVjUR6f2/NOzuRhCsbjYQ0bt7Z8MvhWEsErSVkIOz1W1Ip3LtNn4UZvo90An4jFagNV8xC4KGapaUPvIg2XFiJbILbAXYuYjk1cNDWLcRGFiMArM7f2RWuf9dKlzVnA5EZYzrzx32PWReTW3zjw0XouRFki8k5WVVzDybUKaT9CMQngQCHhLymdfSRdoYBmouImmbnw7xMrogdJvaW9eSMk6Zj3fDp33B3aD9bXfu+zr3LOo1QjceQPOZu0t3wiEZD3ega/srbOm4fcYPSYsk4JEGY2fd6E6uhXsDsmmNlR/iWDiIjSZWXQm0dFWSx5Eu2OdM4DZBoyBjH7spCy2YRhlnL+jUrvZPPRWfmKRHkCFMejF60b6YIusIfaNONSnoXFspbj3M920O++96AzHzyGGbk9ZYBJdu1fqfmfhA2T9F/jRjoh+M+Fo9GKl9cosVe5puzonGE7hSq90AMGv5Y7tOnU3Sd0fbk9gZNmfTgKBmYP2J5+YNMhVwlrQ+usnsX/+m1rumFG8Rsf+3OtUyXq69Jyjhr6nAYLv2q27L80weCf7Ia9XQ30LAAlzO0wW9IuRrSLCKi7egUw6HNuS8b95nZGiDciFrKks62sSIuo1pK+sjr4eBIxAcww6qOBWYDDYTKySa4sFChPneZABzn3MNUSOunRjSmy4HuOGhbSHc66LkNOIIB8OF3TedPJvTo0o0VTELCqq51WWZ+JF8MtPIB73IvrBdK+QRty3q2qiqjgX+mkO2pL2kD3z5pUHrbtjvCnivhGoeYhmTIR3XPKzSQiqDoxvOdZzDzswQUbOp1maBCJRJwM37fWRCo46mG14PXto8OdEezbJ852N5jIo4BVBBl3GtzcgW+S8VRhKsyP03pFBTPKKBqnhS9MFUS11yBO0xZazSzSPfMM1sIaEyZGJCU0AAtW8Xbd697+0fVdZt5ESrBjMB9B+v604xP33X9T+z8cylAP3bsc+PqhuHSGEUrACLMGnbrmOicTPFpK+8PABy8iWDxa/M1ZwGH+lzQtbvYDH1M+2yy3VWnQnHuyJ0dGujqozK8EGq1CmzjKJhTkkHED8KGT2kkNA8Cv9jxRQ/LwQPy7MLKBEmL4Y4Oa3AmyZDt9Ga+NEK6ijtwFnvu/Q+ZDnTTbPa/CPmYZ7ggNTSFvDXilUibDPsd4P9b8yRkm2feS3aeUj4ibmFFhpGZtjjYZYK0Do1MvNGW9CZLraEf/dBsjoDDcD/yu+PXXhJeNHYfNiyVYr2HNSS1Nc1Iz2oQDgsZ0ikddrhjabvuxGSagQgTME3sAnKmm862Ocj41WeUpnT6EuRyRey8eR51gLo127OFNurn+pvkksqk49SuR25UyQ+kyxx9ABSB9ySqM8gUaAK84y6U+v5e3di7xiV+YvkEhIqx37tXcnaOSjYJXwknaSn3sSjeH6rStB1l987u539BDtd9VQd890oNy5zw/jBGAu7u9M1OnfXse7vbjzMYswAXCV5HSI8KbMY1evXYz/+Di5WJyNs5DU2sQZjUJQwdZOeC1i+cC8CYlpvGsH0jHbBqkAtHa399aJB561PJcVaC0ChdpcHqldpbd+ORIOiZnR0f1SKxmayf779JsG3rqjSZag0PBHHyoMqdsetoI6b8I9z5aoxP0IWDh5ZPIUeWxxdfanii/UxnvdO5bTGnM9phkO79+PsJ6kJmvv1Bv7iAsrOXZRinWSTEMivtRMkDeS0lsDpcE2MnBkLxwsRNXkugxAvzzbaiv3uHbQVrqIhZskSeOfTxGqgLuMHl+PHkNWXTvFoEIy3NgnrFj99byCaf2QxeS/mE53sltDB3L1tZkScb816VHylTamxfwsxh2Ua4arDYUnc/ikLNMBc+6Trn7DD9YfpqNpW2OieZb7+Aaf37v4PQR8NCQaDO0FM3S2BRugrkcKnSmht/eVg5un8/6XxQ+s3GLplELTf3Kiw3x2H46NncaVcngP72lU8hbM4KSIkQtGK/DVVpdU9ncBWMtHXq+/+qhtYa7kuFWlXURSATfqXV+edWYkUsQydzNtqG3z1AE1wSudz/483wI3mkEW04swr33bVGXj73x4luU0WF5rzsoAJW33J9V6eH2s+7amHmepoSTBHhUnRLql6ygeQDICrfcJH1sTNw2nxc1tsC2o+7yQ7fx0uiKozQMJnbCyTRfAdFmx291nkYHQR2cMXpLcRqVqgSHMWutYUk2BTFJEPieOxaapk8gwGmN0biLJHp71355vnkcOOwUmaXTVp3MAHcbMCI3z8kNaFR5Pjib75Kkb776sLS71FZNAeevJ08+1cneFKJhMJvoHHHDJnds52mOXjfmoipLQPxametEIlsKIfQtwpnUYCiH0GSty60qtvsjPshbUfvSyDVLSABx+sJA7jgdyZELbdUlwt3gMPd6xhClcZKBJ1ClBg1ZlLuVb5K3K34bqHe7ufgKbp39cAd1XCxe0m5hGQRA6Muu3Xi9aIHGG1sh5P6XWtryzkJOb5RnL6MPQfolL3VpsKxDWvOP6sAsNT7jqY+lzytK6FTLHixEiQpKjsmbEFLnTG9q5u69uz7MEvG58U2kpo48OFf1gHSlIPeLGF8c9BC37W0VGppVED90eFJlrWVx/A4CTa9jiVOaPVGNChpfY1APVkAM+uiw0i6a1Vw96JZ1JyRXe/6eo6O6aIblSZZH+rXNCQFMf/oRiWgRjrpK862niIydfmgzZMBu6gMD4KT5/4uDiyDusEAJ9zkLGz8qRWMpsdSZ2k2yK3rDj30uIXJRshRB1+Y0NTEFDpUbVt/62Dfj0xy9nkAPgQdRjOEU+BfqcoPdgdbfNft4wYfbGWfDEiciS+MzhdX54VDb0WArwbVQ+sGre6pLARGLxns38T4Uxu1w5SNtzD+O2jOTUO7voRnXuIAwzbcT+7XNDk3NBbgXa/XsQOIRQjsZZkQ0jTunW72ObTfBkFlUkPNgaQpC2Ifax29cF1de6bSgxblx8x5gV8vumRSdK7uj+52GLh3Lo086suyQHTLqPFfWN8lkDv9bjaogtq30CTs6nv9p6zapPOOqvKlsPH/ZHgJTsVDBYGqRoq4XisiVJmDGV/fa4G8c33jRKVARXTF4KDTuf5JZ2+E+QHArjNpY/Al4nxmJ0+sdPH9Uz4lxCRZ6a76pfR1dIRa87dNhwIUGGIB0ZmZ78nCrluTZd4Qflw+KyIbyqtV6Ut46J9/et2uudcGVpua3Yyn+YmqvtvdUMjFKhSQobFyZYRGb58HXmVeKGDnjMYoxv7tA4ntIOooZm9VbCRMSq+TIBDmlYJBZ9UsBqZ+ejXeXUdv8URypofSMpTy9AIMHEhfNExm/oo/81P/pLdn6mUoXUnhhBUbgpjUlLljxuFUxh9xbv0TR3dryLSZG1q3bKLfC07svNT1LqYKoLB3sTTrqaOpNAE62HrUZqzhl9nynBUBHf58ySscZ29SdKZ1I1lf17MVdY1gmWvjic2R6yTBS9xHXE80uekC/VpD7MaczE+u7V0PxVw5nYosP0OUOIRd9fhcx0V4xCdlqz21AW8O2gqLYWLkHs0ag+qCZFUILzYVwIxjbSmxpAvitWWzaPoe+naLFgMwPRSO6spXyXwFnv3zb+GH8JG8nP2Iwg7Ofx1xj0JHX1XK8GYYim1SipcxFwktHgACOVUX9aVVUFXTS7Wygr0DBoaa7/QqRWDvXa148auELaLPwNM3qcMmsEpMSOWLMIm2f9quJLOHWEiy25YLLJ/Iex0z2Q+5rwg/FvhPlYga7vkg9p97IFF557SM+VR0Td0L9JQuCzzlBrLEutyZjbOLVhrh/KowB5JoOXecIBfARc6eK0saAgT+M8WzX+TTgr8J0+KNR59Mew4pfzgcAclIqLJggKWhjcjAwmbN9OcgwAfPok02yO5zPwZjZls1rsFNm8SbyB5KCa1ctg4SCP1J8u3eal0/2WqBWtDKuujKuWmqucKNXWPOso8Cshjtx0h9lLRzCcGImjzmLcCsTSmxaCMVps3P4H7N8xidK2EK2vq0qrioIJ7C/4v055/xKPxao1yKg6W31++M69d2bl9SasgP1xkqtYsvR/Jceh1ISXaZXFIBO/rENspxJy5BH3kktTBREilJboFyt3I+DYUbNTvcujzNSQDX8c59YHWZHWymMKXmj2HvMjOnqRUvSpBfZUtbws6YMkyFBGucRIfsc3WCRdQv0o2V5ESsW0m7S2kQtWp12MghcCg/3Rn/AxOZXupKNR4OaZOlpmY1x9SyG0u/wk/uKNIUk1tNoSd8SvAGN+pmD1sogURkf6M4BEmPaiHaJPw+vhZjWU/378aWrkORjzLlRjyCIuw4t+rMqD9G6eK9wQXy9e7UDuUIGlI5BjD0o4I8fgs8nPsXzm9PniqAIsr/eS/H8W77V5jXSTWaHNH5ISsqhNWzAK2gnJkdd8QafggkJliZeZlJxf/9ZnVlgXuujtZMY/tN9fGrHXdSaYWeWrWoB6B+D4Bk3uy812pGcI+gDaiY71K+4/uVK8vyTqdvkRhPZM6GvlFNH0/75VLCKUDeoCnx6lYVCzymi2sgiFwGwPV+M+CJdMJF48lvIyEx6H4xgT6vEbhU8CnlSy9O3KzwrYhxr7J5fLF7Bc9X/9uIqFnplfqQyUwy3DyVQx7ivTiHzTpY5IMUD47dsXzdLLgKAvmeI6T+t19u+vpSY+ejL6PNM/t1orgjtZ+27F5WeIVyjFQWzkLWJvsC7Su2eRVjG1cF4OoYYZvfMT0WtkE3G+PA5rRaV7AL1B5FzHtIaVqEFK8PGzLUP6SOG2n+a2AaQDJ0mdsTCJmo8qw1MBgyFBsIgQLaQkrBegN/ImHWZJT7hYb2XvCntPD1OdPcMDVQNaaBpnqhSnUrvx6C8KhC9YkKg8Ne2okBm+Bhx6jEenaTzPhqwJxK3hQEfwT2UnKATXrOuTRvJAITErtunkc1LebaoIh4Z+0vx78r6XLjSjVeedEY5NDw2cefvIPMur/ygND9IMtCs2rQmBED3Vs2JwPL65l3t1a0f58YWWrekqNWvMCPBAeg8IUGBxi7BMizvJd++4O9oMqC9zKqPDZ2ZtMKE0xrdc7EHhjvdPWAF87HxudmVMCD7Cs7aDAzbkUU7wSaok3IC7ypqlbRMzulTYxptUy0qLA9yn6FrL4fPq5hhGtLSfJMTi6/De0cRg0IKVNgmLg+yR8iAi8ppEVbtFzYJ5pha3/fRi2pxPw1y6g8RiNGaTnBxwduf1qD+xEqpdGHQWUO3cVKZKSrFsrrZFlsw/SU6Vja29JbsF/k/uxNzK5BUk4j0AK1Kv2AAsxajcUFORztriibyBqdSqCFhY+k8ZcJthboqXWixvatD3BdajDbeevLV8TjLHsA0zIEgMV4bOwq0aj72ykGqEbLzbxDzgwonMbg6gE6O5qV0OSU/vjtpwLtlf6WrFYkn+NqqdxssiOCYPHzyTGqj7lPb4iFvc3mEta+4sciUp+mr/+o2aNkkay+5ReO3cBpbagZJ1Abm12t35A9E9v8A/XTfDgKwbL1Dk/wMR6BzKvbh47ES5/3povzcgh4VcEJPHfuT2TuKIepOGqoDv54wIEdVXCASmUuSXa5DfD+zIYXRnt24AJvecwlhaltjImZE0+QspS5D/KhUuZCM16JaU/LL2iC16ztQ26+3L2Pa9rq2pFf2257THyLTwCRoZcQazwNzKNaYBQ3seTsOUikznzr+5rLGeb37cFhUDsdTCiAVSijJ/BDqLXLeZSMAXmeaKOPgCXOscTCCpqir1RjS4U2FpM0cn8RxPq32pePtgzE2rqDGqjUGm61FWMnUg/HSw8BsXNmLeDRPVtiE2MgwrIc4jGMJ3cPHlAihwuSMSSdTzNrN0lnPW/eDn0Jwpboh6PjJP5Iw3DsoLpMnGefT446mGwFpnG1bt6XpnBuewd4Xb3PYQPVf49NuHiLhzpR81SDpestIUHzy8c49K2Umi6eS8UOHl3bIaRHa6HuxoLJkFtHJDh0g7Lq4lgyQzrbyfd857eM8t6AUBsCBg00BV6mkdW6ooRjy9yyDEP2Paha8WHso3zcA/UEVFL7Wkp2+yV70CWONxJYolleeciO+kgldi1G1/mAuJIFiPmuVxUnZyfjrupBrdsg/0gzrTXIsmZtAjKGsuRoI/efrvyJ9RbmP3PbcRrRdWlf4QomLWeGVIRD3mQSx9KvHEjj4a5BQt7TSw8jjNvX7bOXVHlqgThB3p1sWnCVYCHRt28kj+7HhrBJMEfPFHrvHZqU4v/cdLEk5+SN0eZeFlde8FF3tVRSmpZ3BI1baVb0NnqWmcYLtkeCfJtuuUoNbsUxMFtTECqN891LXvqFogv4m7KXUXmrElqsTTqzK/FNR8DQEvbom3tScYm2gEZDtzNPniDqq+djcx9wpa6Ut3DRVSkBXY4PgOkOsR+mNk+WRyjue0BhE3OLbmmNgGRHf+1k9sea3XRnaT6OM7QR6RtC0ff0c7kDJCCrn+d7WSZE82Q477DiZ8481ZlZAZ0B3TZ5JKjnH7bWVAkUO8kqf3BVLxJnfEc6mYAAY0wsN8oeFdqxBxEAyLt4FfIYxuQgrRmvGQLpPtCUuLNpLQkqPfJu+h2Uupg+SCBJkoj5GaBb76xaFUHZuaQT91ZICFnhMcqmNeWm5VuaSmnz/LxKeFZ9bAzxvBP0tkUz+u9bcNNicXwmON4/OlE4n7X1b1WmBHB+/i++zDL9m2MzEtvGYyvFyBgiSA3c+zR+OQSD6Ea0bp8Wj1n5sT7TC2QYoEydO1Y2+6cxGgPF3bQHSPap4MUhUZd9eRXpEzNaLQoFGadM0QDgeqNrDMcH821beHZZgCTaZBctN6Dz8bx25KeYGVn+gJORCpLxH28rUudksIcgbXTlOZM/LEnrZtZxS05raDkMDKLSB6syZo6k3lUA4VW2iYXkOMIJWA14vF+A4nHRxQPjELSnd239lZ83MTOYiO+Y0jcob1Egv8g5jkblkBcKczSSdy7mzDmpbbENsZf+nLlnCSdZBSjqzt/aCjkDqZAzm3MCuruez+NaZ71F3ZpDE7JhRfyKZrn//q6e2TP2IU+hiVS4jneoAPcVi2xcLFM3Bps0qsggGZHClT7kwFWsr11BQMHf5jd9NBZ1Du2QieBjDuF+2X3hsEI1+2q87bqQ4XrpPElR1LBZoivpYN/jlmYnW9+Pvg5yGIiW4K3YcFeYJOi4y42p1dITwHnuLzJdzo90TrHYLyRHKRdtHNGl8AvNHiBfqJMldM+3ubjDKW0MMrl/jqgImbYa6ZxTCqhq4m7eOLUSFk492aZpxjnEMcahI938/+uJ8PVn1PKeBaYZF8sBSYTdLKnHp+bDccAY03KUfjIlF/uByn5R1fjBVGOhUSN2/W1m6+M87VgTP6VXEhSVHM1XI5s6UU/l1Z9e57jFhDuaM+y9mqq1z1xXg3zsaGJD+9uRDlDtTi6U2ody2hTL7E/7q4ArcK/9xBP4X9+cKuLLRY9hwnfP7m9XxmG+YkE3fA0jNv+3GZGet29apAwQ3sc2Vw8nn62koqPsA7q+SYMiQHeImzpL76SPyQnjdr49pbKc0gix6ELK6NHUFY4wvLAAiaJ/hsAcpShQILBgWtur5ZqMAO62yoFvJkLxzIagUPo8cmn5KSBoBsbLzKsRNtZRsPzimsh+z+bB+L2Nd2U2uXRoMIqgXzPimOzNLLPSp+/L9PJtjYlDMaamPG72F16QSfv+EPjHTAI3d9VqjkPdXn5dGJIV9ligI4MpGwEn7X3obPtLxN9KG87E0RsJZCYNTTLatxmQgOyxMS0gCZjTwIBi/NZ2q+ltxSTATFsXpFfuZqMeJQvLqd2lzYG5e8s0YnbFHwR2n7wSFR4FSGT3XOs4OXP8ODdOTic4OLyrtGhJfZtOhoc2aDx0gjVkU2PcDckiXHqLRXAo1mFi187kn2zINcLLLNVNpGp856F9RkaKdPy5NSN1EABj+C6gp9uyPXrAds90eTz1vhVPiJMdR5OBkHO+GI3KjgB/ZEJanQN15lDFczpG24x1tT9UOOd/qu1YzNllGIkBvsejTQAR4X3Roe256AFgeSB2ircwYTcNI3nU0N6BldsLOxJLNLijzCMAIeujOfr63v3+KzxosNi1919Zod+oRhtDkl4Xl23BydNrKVRkFVNfdF8OxfwkKRD0fHYu4MVA8YbFp2m/vsO1DyOBt1tvY3b4oCaPDRhqan78RZ0FUf6IcwnffjMqYk4f0MJkR9g39BjyWe/6wt7S9Gh59guJFJ/sP4oEksv5KwFW89PvREo/FeXueDg8K3Yi1dYtYOMjO149qCX1pJClb+iywJHq29y2yFGcvU3CYh7f3jlS4c5Qf434yHf0bS21zS3fu+GnF5sQF550rNNWsemNvcOEpwDntSz5ppfpJigFFcUMWxpQDVPRS433WX5cffslF0Eu0tInH4fnMd1UyoKj7OO9A8yfHvAd4KSGP5uuxTIuH4E83TOg84VxGnWN+59YQ5TYXEGCpoagPzXAEOiuJtHDPPLbHO764gBdh5YdJM6yHBUEm3GtjnFzT541VtJPBS2r4EayCCkdNwJ0L7a/eD36oHrEl7gQzEHfSotw7f5IsYLIZXK65pUXRb7fvRBr2B10E4SBZrDajem6dVrnN2nGln3e/n6MsCKmfBMUd6ydCYpZARjqXFRl0XP/08XObA5nXi6p6ncK8QY0aRadtL4yxVwEZ1SKqe4ImSqAkXOVK2kK6Wqpyi6p0wv7pRqaPlr7HPUrGo5Y0kZZ/wA25Gx4O31jU1KG4L8MO/S1c/kQt3KX4sKp3WqsD+DqCtRNF9okq+WsGOcuFOuPpzIL58wyZeCfldDBEp0TNq9Uj9pUSGgO5EU4sW6AdfS+tLVWQyTd0EBbjI0alpvKH1VRRK1HPFGwVhJscrNK7EX+Sbgu8LaAsY/FRqq8bjcZ2KFam//wA8fdu/AQgFOAxh89SMuqxn4QHDIKp9PNMf811bKn2r7FSBYwkUiZnyPPlSvcjpg++7FcFjG8yGLVWVyzF0g4b66qTipZtqOxCVNoTiE7/eRY0HpzXqjxjTJoypajr1URBtjWI3QwvRJx42Z6rSdP75UTI/l56s7nYWZ8WaPsgUOISRy49vXxxmkvE+SYcZxMuo6WfmKpuL6Nns7ZHmsit6eVDMiA7Biya8T+o6ZcOzxoxmib3mKZ3SteYkxLCh9N9yMOw9x+37qE6ArplQB+8GjIj13/YHXHbHfeZpp4cTHK9q1yGZSRzt37Y/IpwmC+hEDxizgdUxTiMGhdqkZGpDTrr1V/9sU9/VJyMiDXfpBVW3TOI399PpE6Qu2RsEXCk0GGG0TYMHAhMiUL4nWpVzTk/RkyQtK30EHiO79U+pVgMLF1r9iY2tgootDfxTG/OGBvANsOxGN+ufDcxsrEoI0DQUbC3y4RGHfmjvzI5gpPN6q4ac5elUjv+DIfoqvBGKPqA1RY6PS+MubiHPd/OAKPrrrCPwod8b4RY1M6H1b7dFDpZDYMqW0itdhn6DkFpaBT8yM9pEBiZkvVBow8qGjYy2nh3NrEYY200j32STwiNka182GeI4JLZdY5F1n+PmQFF8Z0oCcebhrGbTQbMSMabUvnuHe24whEXZmtG2soob4CisH/ISBG5S8zZ9GGXnBOzaOMFMD8Taayt4fB20AU7SflNy43pNjzUysKssrIW893q/kv5RCJBrWEGFMv7AI36ZKUsM3f8Nwre4Ywpu5HzB8ON/St8SLlQy3yw1ixCEgWL1oYW8cpqGL2v9C7d8p4kAhLBaG6R4y0tNZz/RD0W79vKlQZ9Wd3CtlWekDXIAvGkqG14t6mnC4KGIEXalAwI6WimuWEzccnnv3VqVBmNcCTHGt4Exu+WGRlD+Ik2H0b5kaJLFnAtH5rpYjbcUNPHMP/frQSPT8tkCB8JzVei8vnn9UQ7/MgnviO33g6R1kewTuH2NvoKcNez5kwDJYVWx0Rw+L8LeIdQtliEsD0ig4nB1USISXUX3MWwolUecc6+regirVHMJzyp6Dk8LgQhqU+pANzrG5Y5JCMApd7556ghIIUvWb+79Xi0CTUyPliyUYDsy/MUw6WPjBO+Bqsnjc/xXr8C5Q/DhrsP2tt23YDkeqqr6MFDxbRY5X065wgbkoYHEYxw/xuFpKxL0OlIG1rmLVaXplLku2G2cQd/kBs1KlvGKd10kkyHcHXLYZMx/TRKnAMbNz/3F3OT/9fQzWySotim5X1ekHyuBJsnpmd3hZpyU3sKYYnbXcVFXKXXWXb7mJF2w+2woD3mPy+kKcJ5PR7BIXiXjQIAxPDPoKTs96Eg4KwHdun+fwxqjbT7/Rc9giheB7Axf0FARv09LITaKB7Kzn037Ad1P4MmHtW53fDOXA6TXHZjl0tN2//lk70fzNcfBq+cmZ/i8xcIm2H23l0oPErpXtHTE4xCtMU9EvLn7Rb5m8P11FAoS1Z4JtKSf/eG17FBY4WSTCZfWylbXoIHnbyMML/XDJsSuwfg+IT5sIinFyrl6LrWuKikvEmU1mBpHdmk7Yx55mJ26bw4qYW+iPPgwFUmq7gXSORDNoxVZCbTsCRws0eZ/SlsxFd748xynSXqdw8QFHq8JVo21D0txn0uGoUN1xZvd6BtTrjrnF+ew0PkisxJZms7OJ7XZ2ntJy0QvXeHtdPrKTOE67vjPR6BwGdV+qApHoC9Nmfqi0UrOOrRm6b7fndsa6/wcsjULEyxm4EiGh8mXolGK28gRSQPWpfGshr21mPDGydhkX9cBccCWydblNIyL649kA8OdGwvpVX9HiuWpVXhv6H9eJp/t2THuofoeFKAJnflXv1566xJD/ozVdfuLTJR2antCSJl2dFz3xwSam/FjZs1KK5G5rM/8WeA1Uczwh5I0xAyYjelnPz/PT+ceRo/8zs9UulsKPgPFkjFMxHoNrnPI96iKgOQiU6l7dDr/NMzqHQ8j8TG1V2Ey8vb9Ufskf01p8MNn0gEKb0i2ouxzKlM9KPTM4xq1YnSL40gHwWmF78CnqOjRUneKnij6J0tYNH2CbbkemZ9r2gS+mr0e1UEBPdOK2eXCDhjoGvj+veG77z6Jmejq96lP3TZxiQe11oIkiZQwiJjDQrid0n05Wt8OJ2LRgEjrfpS5EUYOHL03zPeke6etPeOqHRQAqYCyCHIlMUnOvY+GGagKdk3ui9yjb3nhj8komKUwpec/4gwt5qITPFNtsKkpoo7Wyi2fVFtmXQBHkRZ5y80EToMpWdqdpTX8j1j+eDR6Ro4ddOUCFZAzCjDxMYfZeYV//rcSodwusfdot9cmUaaPxGfZYR9tzehLkxJKkkmEzAQ6srhj9htiysgK0LXi8A6z/GK8j2x0KcdTUq4uOBrHYBtTHS8fflnU+FsOBU260DGNB/8KiuQDNSVMplSMVcWRzIsVBqC5CsI5fwo4KI1gKYangt9hHO6+6kOsM5B90OPq7vQfl2kf0U0Yx8CgK72yHY2ZXtyM8qHQ3+EiLwp/bRsVVzIBPcBzJYjJXwfpyxkRovLYqTkhYdVaxo9x4o8xJqlNVPFRf5P/B0yjokfM1akB1gN/kFyhSMWbicNYVeVfykN21/znexMw/9ybI1Feb2JwLQdtl1k1iJlPtvmM1xV4MOsjPZ60QuZRJW51bmHrv9CnlqaGKRi659pcGIAjkclFUmBPpUbTc4Ulqj6Z8Ulbm06nLV4ofvEC9btcrSzlIbUaYCBOe4sKK5ih4byPxXLNIMXx+7ZTtLDHxJi+6T/YUdpyUkKd409V6tE9xbRJyniC4HGcY0JwHuvDQLuzLckhLcf3Y/0HLsQ239WOJPuF/SHar7K94sGI1jcdiyXSjj/f6qomIucFNIoD1JXhJSNETCjWZ4tExHfqrCVf1/402+e5zFAPKVdgvUA5IfD7WUP3lp2GyEpX3lRWPj1KnWdyUVOsNjcLmkrVUljVf6En3YUZcw55EVuWInRBoNSfM/6eXzaNTIOMXjGiiN14Q1brwubuJsucGSH6i3xUWv3ow9shx7fPpyUiErnIXLVsFNsRUtTzl16ztuif3p+iTofDv4UsQ/g8r7b85d6Fi96GAOVhLO4bPMQsp4fkt838liqU7PngrQDRMErVq1fy5jIShYqVoQywSwJ+IIZJnlFQtE4OBxZvIVW+v2aOzHPME9GOEozy9CTkwi3QGF/KL1/hdDPKnai7M6/kaLK+rv4St7MPP+xnGkhGa162pZUWbhGRnLYZuoYbhXfNkQpFZ69oR2HWB0kXJzAQRFbo0x4N1qF9IolbBtb6JgyGWQlAHOryk2f6b6G0reDqDRm/YH4JJGkiKo9y+gHQIOPKuCVL6jwYOi+aOdo1mTuu6VN+hW+ohJ8d7VzxwtNdYXfMD51rwwW7T/2AJRiAinM9o1pz6czmBz5alfx5RUkAKapuXwS9iBPsoKn2ihRj7HXEvd8NtxKARyob6XhkzdN+9y8UGbetOf/RW72JrCtmh9Ufmkc7GNNUGFXxbRQymSy1hybLZi7cwdQPCmqZTSflBUr3f3WSlzP0xzaFuIfIjjZMF5q6jr0u09OeyPjPnb+uL0kARTLpy2geFCMnrJDbQsSZXO3vq7bK4ykoSyxPDMjLVoFHCqIR2Ve0gMx2R7ccO3SQVzQXJ49Dme8oXfTa/lZXA0jQJKGj4SovPKZaVg5+Ir5FRUc+lcDT4IcevdcRdsEXYiUEelRe2Pb0Wd4Ja+c68fg0WkCFF4AKKC5AyNO9YcLS2By/3d6X09VPuLu427ulPseRx6YoSc51/S5gAEWyKs7SKJRCzojgYDWmQ8mC55iuzM9cut+IPUUhCRZ5acaoZ2z9mqdZAazi7y5yi1Rx3SjYpupvJDnysaCJjRoLPgOvUaYn+nnGzyXNsD7JkZpJKDrQUTryfuz/8Thb6VZ9adNFSSrdMOqXXYK3voC/LQsVRiCptLRpGSTjqvXjII3AHh2cxfgWaTNQuBWLgnaeJKLxq8YdI8b2oGvQ0c9P6it72Kv0CvYmoUAGY/hGZ142YcR4KLORmikoWgjD5hGiTW/VSNY4aUW5NW5dVeeuCzltb/zMF25sEl27FgJ7WPEvP7j1PB4f8DzuQ8OWKqLxmyeUQg5g7hEYRBUqYiNBZzUheen4tPvxIilfaMukM+UmlBxwumOdKdXjTwcQvdcfAguXvFempj2y+8qpnEdLNRRqNXQqUjiSuJY48PDL02cxoVw8/Ge1z4fh9vXAOAJC8JtKxXBoTt21I2kMpcmI8ql0ZzevsrtuIf6adiQd9eVrNy+BtUd/NUbmsJuQN3Z9QVjxccAvBno6tiEWDGdhCYBp+Srm2gA2yB3kOdP7+m2lsOwV4ooE/6NUDddKOcIU2xOIt/rA4Ei8/0/UHY7zd0QyS4SHKVNN2m6h0a3dumw85O0/V9sJc/61R1iFZsYo0wa7MifgqExhO4z3pBChUEcns3Ws5bZB8YZJTkzVemly7MBc1jnrw18fuUizYi6wib37Y5Nwdq0iocmOCDERhn1bOsWTbyjpnaoGEJmyZM9WiTGtNU/bQPAttC3l4nHEPcdEo6J+yB3VmKNMNhGpsMuPtoT7zF+jAQhvIqC8dE6FXnMFpq9v0Ex5fTKiBiG1p8v11VJQ2JjpPmsBM7P3dOT0FCZAEvx1fRFdzsnnpwI2keXFndUwAOg+jeQdJnJscKnXJVQH1nSunL9oAKGaN2YV+Y6lAR/nPAd1NrpvgZd0fwCxTl6vfAYED8hYj2s33RZ8ORmGPw+sNEq/gsrsUbKB4HKtLMATBNlCxxuujkutUQSZNqyGJPysk/rf5pwN3O0Nd7AZGfBeMRG1BSwA3ucEDv94ocfg0xvBGkLkQwAGrZIJH5xzncby9hTwBpu5HnAbxy7V1FKdUJej154w25R8ASwaktH+g8jKMxyyCFLjUfUrr5s0Uz+5L2gNqjuB3vNPzUpfvQKBervqdXIsjcp1V5NRnEaibJEYGkKx6vC46ReuZimIoQqz5Ro2bfAB8llvJqKadJ16ZjX33dIeLFXLwE3326/Drpx93lcZHx/BV0xd1GYw5DpHB9JbwSX8JFZfKRpUvs39WA9ZhNyLZaQU7rzuM04BkLLlgOBLfr0V6g2n6/k5G2GbaZwnNkBexeE4CtVeP1kOVPH1YD7aKUNBxZxewqpVjviaAe05A6/QBEDBPtAx1j9yAYg9omE/pKgFBeuIi9hKbfZgb5sclcl4GlffrDrjoAFlUqTdIhjemW8QxKBVDp/6R/MKX5Txv4MYLEH89EJ6EYe49bG4TAS1MAgsiBB6GrLT7b2kB8NBBMBMycRPqgLMWvUuUPpDJrP+mWi04XPVNBrV8RK+pLTaJokTyfoiSDNtGErvGQ4oNZQnWgTw2lH5WH7UjFqsWaNAp9bi7Au0qyQZFSgTP5nuyoyDXRCNROePQXHXjOO3PqpL6nC26lOpOYV47IkcFuOKU5GmQ5ZefiiUVLbBxRafSfr5L/mObWQZaCZyVE/ayUNatecakzbNM7ezgqOCuimgsm8aZSZZhWj02uyINNP/y6+9lhJLgKGnIOJQVKzRETXpSfOTha70IxG+QbOVoNrIaCiwk0Q1VDfcJqElqe1JBRwelSJa5KWxlGPikBvEQNYbhyACKmuU47QSliNCp6osHuu2h0Ar7vPIFfM8ssAJ+c4vuJ84a/ytd7ypp5+DjVpoR8qAa0tBwbKiWExOFk+E1bvKrnB3tten62L3Gc63sXZHTET4lqzEaZWXGV01cNtcZCgU1AzUiS/SPQ/HAjsxTrSjUGK67gOSSJ497D0wc4Xo5/CbcrvYZ5GNtHA1FYkxXOWx3KTyLvtgRnRT8OiLib8PfqVFf0EBi8wXE26EF2lgqPNnfvnwkU6fJl8DI8765Xj9CH1H3g7ADsxKHdwFnd+Uj85kMIPdE265KobEXTH9xQSaS7CLr6A+CHblptKdNIRZIoI2jNlG7Z2WLSNBRdzcfpLC/CXGKN9SM1DP6F8sBn2yK5HbB+gXIbbCSJuJQwXAFo5LW958lhNZm0Cg09LMu+JsCZFeczMd8B2iTfA9Zul9Q8OQrGd/cgRe+4M2XdptXwnsQZIlHnKL1YdnXoFyxocQhp4XbTBYa54FBx5AtmrleT6u36/lSkpawIQnTT34qjDNHKTxUzkw/GnGikleigg8XCOt804uB7fzVPaU77vIOxgMFeY2QH34jxgBUwSIVhzjMAazystTaZ7484mvX8djOhoe1kIAOA9aIl21pBQoCHTa7QV554lRDB7R9sbLtoGvoBkOZeFnezk1e3ZEcwlAzmnSlfnsDWrQ6nr1k2CqevQdWeOVFBAdg2u6XVXLiRkkD5LWwknDVbXVZakwhfIbz8GjpMUyITriypRO9+WZnmxYuRZRf7gO6aXlKdEP9xHh2+yqNyHj6h9XjUvbUaUffImuUEsA6lBks7NGJ/BjHS6euP1r98grWc9OvafohjVxfomc/6nC/LY4jxm5AW1AAy2u+n4JLgNOGlhN8JhOeFQvSzt0rfS04B1XxBsNwTdtPBcUJujO/j1swLnoyqRYtpGsHU1l77kzK1Ynmykzi3rYuYiPN94UFeTSJJKtPc2JWonLrB4u1ltrDhvmcl6rNMuqZvyQNyVDz2evyDxGLS3i6FvMZYWK1xoElSzV+//nZryJJemfnMyJOkCRl+/IGGSLTkxEMkKcvK1BVff4fMfWv2V9ESlLzOgQ5JaDz1Ik3DkPkSZpZRqAHzY2NysFSAJ9SqYw+RG0qcPM3UlMrFPOjVzkBQZ+6KIR25ICfktusivL5+DVZB/nt5fWxJd741LA1+qWVb5FXJmonddCBURCBsu/HH0loq55wVzgLC9j5GpxOBeS7B7gmq79vQs1J5m9VTUeSz09q+16OQwtDbW+1E0VsXDwFjYnqYhodhQAkVa38io65WUFkZKdiZsXTRrDfTvVxCBpsWvZBE4uU4K8XCSXdLEfy7lQDKqhyBHor6rSYwiQp/2xFFfPBvjMJzkHDSs9PFsoQ0xAqCFr2uGUhP+Uwx0F1FfNcgH/hPRCXbtZOfPealVGT782Vrr42iPomkHtimP9wpzeuAzFYUqrHSuw7E5eHnMZvw7cVi+YXB1SxaV0xZiVw3dmcWbPnQvdaTBvdPW9kJ0sEN/l8GT++Z+TI2HKnDv1rhJgsrZLSSGRxsol3HF0oEcvOLsAvUrvTF5bWxul95iAMzEzRjpR9eV2tEUFyZlzthRJrxl+JC5Npu1Okalf1SwZRZDfAbxX7mXJghQ4zhgagcx/mDv/6FUvE6s3iOref9xQb9/fKwPBrq4HJc9tHfCG2lLPk0pJW0wiQ2PWgUF36a/cC6mtvaSYEWfWw+RlyL6MQk2KWiwAtlvbFq3bTmQL01jLZefd4hRLn1zQu7HkuUPtcNNO/K+BeCIABOxL16CjXRxHtXywdRSgPyRgvWfo59NDmvVACzRLE+oPwS0LEzR6V0b8B0KEWzwevjnng0CA3rTfswmuKFZtMZK7R2OZii6GOAosW7e4ppz2fRPsd+KkevRc182bk+x9iCF9b2bWfD9KDBG9uZXognjHOHPwOfBJHkQJbYkecJJROChcPBKSL9jgjdXUCqKj6RrfwlwYWcfwMHfspBNP/JJzsDBxJZeU19RW6B9ZlG3iKwAgN2qkwM5LkNSU27KZB6S13tUPB64m4M5iYd/tFezvG+928+Q56vrBR485OGAWf3B0jRtwatsa5DHZWwKFwuCgHlwvc+f8cysKK9L4XXSXBnvNexwKRsaiUen43IkAmpJa3enaEK70yDzzLHwgKI4tLLtGMvmv6JSv9CRYKiOzzkkBmuNUOzKMuoS2EtCYb+Ju2b5xNFIq8K93Py56o0ZuTGOcxoCO6ULMhjehX2OpQG5pzAqzJncipqDY8RxGxdICvRQkuFts55oHtD6f6NCWEv9M1TCW/TlYxDZ89IT/MUQMKJ4P8oFxfIzXVzmVzhEtP7n2UAetUGE84e+Y+HaLEQqXbqgtkAl2seLwk3VNQhCRPfZ0gXZUu0WWz36+7fipZ9imEAoA9A0bE1Ed5x5wgevYjUD7K1X/vREDidb9M5+KjfkAiaD+94DCch0+htY7AKK9SOHYYQE1ClToZ10n05uXn1myX3DSUM3B2ki0pX5UYsj8SxfrWR4atGUhPTlESzl1TCAW6mJqYR8oF4ITftLVpSS3/EehFNT+amrLMF7FpGnHPoZObMQyp/eV6id3Wr+yesb5cIvm8E77F55twqbU2aJf/okcTczggnsRFRifGLt9pzsTBRGO6vLB8V2We1BgR035j3kbYk+WLKwij4V/xF4crv9QQ5u2hhy6xwDa4quumufKh/sLcWE3xRsdMZj/j6p9m/ruSboZSaojPIks58qvR2MPj2JWT3wgkqu0k7fWB6/v1awyal2+1nZPPrzMj430ECJPFiOWAFDkRMuPF5n2vYMhP43q2D85QL+bab1KzvlZe7kI4jYn5ra64ZNzeVLkg8Sag4qe6oI0ZqlixdASe8DlILLTVf6fKVanDhnuNkh2beaMo1SoVVRIoQT2W+FsKqaxeml+uK6PB+9Z7LhSoUxghCPb5YJN6jzg2P0K6JNcwSqo7ir9fvboLQR8feeAi6HIRCir3Vgd3hA8mAhO4xXu28tWxFwDk5b0viMzzIaSXyFKttx1oBwDEsBww5S2Eu453QGlwAa4Xh1F4COHhgaCThEUS7aY/OE5PlRWTj7pnU3hyS4XnEOlWEkAWiXWJMo4Cc9La8o8LqxdoHaADIMF/n/j2TwKMgI4ez5spScxGKz2ei4CRQpoJn3dSX2nPJ9L6Oe3JXDvWlipX4Fg50uuvQUf6ueRpXk6HEJls9Rb4IuMVhNr8j+RynkgAqenyPAGAujDeOTR7OAhus4MbBSx+Tx0PXyZWfOgartjZBHZvpzKHXD5zfBZ9TySdVA4W7EJf1xn8Tts4Bet1h1WMXUnCJse0UaIiwSYSMUPD1r/elCyxceNZRJq/11t6sF53FV/eaZ8hskUfsk7KWdexJiC269V52evupmzT6rinKSbNwXKjB6MqK3XBsUsAGL2Bke92JwJC29S2G/mj9LcUA1W30r0CCDwvlj/xga5raAJQRoEHRT5nosJt421x4qyQxPNHPJN9B8ToxDQ9tbnvlwx1hl199ZhiAVB6IVPZtCrY4VL0sdoxKwfSLe6IOSHzds/QzMEjlpgZ/OSJou7+Mas9bhvLDhkyYKD3AJhoGS+0IYghH0I96RFkG9h8qWlWC6JqFkHjTvIaGiFUtlOeazPtJPpGkHwmYY6OhRpdhxeRqJDXmlnMG1qi4Wky/D+5oueAyJ5tXSdewdl4Lr5vw0268IR0mnDnXfIPudltaHoyNkBCC8HGdfAGvFQtvCjzG9Jm5+xspul2r6LSQI88S2i7uKqcBaDbU93JQoI0jDvLtZt/+HNujxcDtVANXmO50gQ8CUdoDRWlUcuCMGKihF90nYnwGSoFeP2MG6YU5AN5c5u/KV8f5XlUQC79He3hNfG7SwtdgQ3jAwX3FPvXjPPwodtswTGjr5nOpmlRuMXmM4kyaF/n+s5Ykl1ClZSlgrgjyojeMT9w8LN2nByjkOAcQtD0eO0d7OHcAfJU7lPT8LzEltINR2duzx37OCn1cejpNnjG8Vd6D1nxXIA2ebGl4ZdSR1NwiPbcWDMkkhEcAZac3MWyyPaHOlvAPenCgfnKHDGuzxNeGxBWhRDib8aVeGXK3AFWSqbiPQtKb2FeAwcwCXzmg2Sju2MiMpmbEyzMRKRb13SiZlg64Vq9GUNXMGIzv48MmSKpu4JDLifkwdr/9St90lSyt6CUBf2fwy0s55H1JvfGS4MCgVIlQH9ScPdJTM0m3UiTp3GVx47gILBoJEu/tfz+i4DACqjmSiVeHCWZmRvYz4dkGxXY0NCrZalecsOPgqSDh5N9oSFJNyst6f4DxZu6+9A284W6i/5VMwaFDdlYasr8vqopW+MWkGpdU00U+Tk5OOAs2+E/3/0eErxyjQHzvPfDNgH6/uft9oQmaDQ7Eu57lKBAz3z3N3A0ZJJNZtuIcSVS7zqNTqptzi0WjCZCz8pbFzivuwX0OJAuOEFJ15G08zjcYz5D2MxrkssW5IN/4pNUAZQ3m9JyJN8TiHjPA2kf96y/Wbpq6dmsxtUeXJK11DGF4MKaLSKyQThkV7x6cEoaqdCyEmvKTZsO7DYGMQiaAcaP9cs51/utqlLxZQJTn4QVBMEThSPYSB1lNpc755EqNFT9uRXHodl32vUmdmqVSXTab+iCDpT8m+0WN5PYoPCcxGEMTC15sANZtyvp2vQOQ0Bv1A7+ZhVupbdDINpSCGxaaJ1s7wyL+C2EXV+fMBA0vmf3rfoZlSBpNa1hOKAthgyICE0xGk2LOP0zAphDGQQP6YMAXwhDqdwjXfJMXG5SxsBazGSotslZ1Xcl4ihYj0l/LCNQXZ0ImcByZRAa2C5gmzittz8b7gcBCtE/I8eSAqHvW0ncvNC3kGEH+VCXLj7k3T5t3+3oeMcvt6iFJl2mQVYhxA6pOtZ6WtL0PtvEc9+P9qorxgAtE4pvxKS/LfqgGn75E3ZdA9OQ5vScRTj+n1qc/FK3uRuRefNa0+Kaw3XL7t5SoGJ5vfK67lqMSaME9NwoGq1/hNLa9K24fJhR/cKeDaqaGR6Sra3otQbakrarZ3DlzPTCBaYoyIkX/Zfnesq8UZ1WgGANrqO2BOfmFxq0PKFvnONdkkCbDKgqkNWYPyQAtZ8UXXO6OxnyTC+IwsEaW/Y3K6O8xlCemQpTVqIJodSQXgwxfwHlkkuAOtBUD2FtvdpkQCDzQY4RaHc3gS85oTawJU/1nC79rDA3y84xLjWm045/FFvZDvYwAAhJj9X2uoUi6UxdJZsCF9vSbbqFSCbqFvXImzQ1M4q+I28ZsK+ppuX0jyq4tA9BVZO6fx6zKsygA8/JEQiUAJBc5MhRIJbtPkpGh1OR0OQ0MDuhqqykuuuf9CR8VCpWIu9hG+5m8CKz4tH1aBPIc32pRX8szVlYGjuebSxWIRWlHrjcBELy3BzNuRPMGEGlcKkFvkmuhkpVkk6WPut1pZxp/90o0azcssDOKJPvXHgldkytBxsRt3wubyFfUdhaOnO0x/F5ST1f6xTLIZl0N6Q3iUBHQllH/U0DsbdlqkdK9iVpOYG2297FaBEs4rWLUwpvTV5L1XwM0lp5nNj7RdXn5igbBB9NHgqtnZ0iWcIPd3vMpVrqBUdPiARNI64kglg9Pr1R06AJfOrmwFi1bVIRSXZcrbYdHfrIvWVrGAlc83+CYSobY00g5UvcrqMl2k0/oqYmmqn8lpxNxQAGl6wP1Ulk0ZPmdGvXJyzqt/gFpUi0Tazk33Nf0999Z0sQMTOB3xKYmURXTkrk706Z+fODqQOdNMe1U6EqMirZGHieKR/b+DZOmxXOfZTux3fuliGtcpSTF2RWBEIDu+kIcAdq9sjpML3jnBZd62euMstTaOz+5vY0Y1S5BYFbUu6mt7cWrcwHVQCnzo1ZnMx7awwvQD0GAPRtEXaxlSZMfhOwg2CcjcFcYAmLohC/kNYwCS8txj4VcPxb/0zvkxqZ9TXKA5O2C6158Ox5ZTwIv4IqYIejQ+39MLIPsyckFAPWsbcT3LnQr8nv99RzyNbHvdqsxQaoASNQoKUbtFbrO54XkQHWfXEOOTrJwhg5weI3NDN5R+ZW76f4ns+5Y9pQoPE3K1QiXAP8cT+l9nqdkzBnItbdOVmwurlfBWW1p5fkgQo+j1eeI1wS0jauBFsz8HfGDu0u6CVj7+3i5CZZ0rL+RdQNai6KVV7b+yvZOirvBFM9RcWqmEqcYtjwMxGvc/Jju913rwFDav4JFPx4J4oZBbI1W9KlFkBii7+uFlA4Id1ctaslRsZxerPAZnc4/I330goTADhQrByFWvWY/G9eC/nPGC9qVt+oRU1F533q0K/NXKw1pgHBwVsd2hrlPWHZO2k+LlCwKXRCESMd6KbNPPw4Af0F98UkA5HlvOGO2+8auWiDpwXzqP8ziEs18/B/IVhbCXEe1mI28jO9VCTMhf7sxtiNDsaDG14Ct9Bni+WbfeUGL0n48cITqIaFw9MS593TzPALh1gTzV1HqfWbkh0b+/aSNUj6GjCWuKH+81WAadKA/TY3GOYWhvzNEEIMw0WunpOYWaqAZTVioTBU+9jbhyqk11GfKtchst4BSFxa4ZoevGrE6kV16KPxf6O1ovQdJWLsMYToN+nbSwpJOG7hbNYUBTdTq1rz3ZsPE18x9dstSuMvpJIoXHeD18cwQla1Hhzf/A0D38q/xWJL9CCByXelRbfshngJDHoEiKhBzr5RrqTMTaTv2lZDivp1atilgPr0IQC/264sla/5Y86kNagtlwviMYAr9WJ5QKZlcYHY+8lohY0/uBZeeJtWec9B7kfXO7c/X2h7STfQFB0OH34CeMjMHuaFZsHfdx/k+RHHM64U+zhgp/gGSJpWr4qw3khAelY6ri/rTN4603TN1/UlStDefJLibypfZg8pT4gwwqticXopdpQux4+xkBWgkhBzgCfJnvwZewC7armiFt2+OqnQnNB2LhclXijO+qXHlwwNxmNq9vEwMtWPV98e2wFnduUAeGbl5xJ8UHk1UwWIy7wNiBK0CXuaiEFhpsJOZyxfmpdcg0HNnPYhuHrWjH9+VMHReBF443LT+HBcssTIGFL8kWyMZEGhNBh7PLEQgubLh/8yo92ugqCz2uH2d0b5fhReDl72D9FbxI1fsmpdjvH5BAO3b4sNTUCb8HfJJQL9SUuhZTIhg1TX12D3Bkf3x3Z3OrbzVxX3YVEz4Mg//cdRqVe9JZWlOqIiuhv+wssaIaGT5LlvMsZMEQY1j2JbI7bTJzReZXW3KAZqf/eoZe3gcDPxIZ3o3Dx4siI+iIR7c480p2DyrGAyX4pRTjZlc1yhdyaLIQFn6/Ymi5XXvZ+PLCtHQYzY9muTLaB5LwKt6uJO2jlx94jypKHvb9l+/NGG9FoUfNP84mukaQgONbIHrsdywxkWH/2tZ2vED3G1FTOIK1LhCYf5qi9Is+uLpPhyilW5XW5KD5dnmxzNi85tc5O3rdIo6f+pdaC1Qi4k8LOeRu+4ICyqH9hUAty3FoP0QS6NWuzGkuvFhiQoQzO6k2vbgWvC+1rS1jP43ls5c9hEI0/a2JphDSV+ynPoWOhMwldrZ47aSfTeGsp1P7BsyroYnnBVuuq2D99YKnUy2sYuroTVIcVGhNSE0nAYHQ3qCIFYQcXVlThGYTYWSNXsjchF6ZbKZbNbyL9tm8PWl1zW4iRqoJkZz4sF56WxSfU3227VAmRYimi8YmtysfxUOgmgM5v7mfZX+xG2V6lw4ffVt8WJ8pnz2jkNTH3Qnnp5JQUP+jaM1eEt4IYueYjJH4fUmjyyzItgO0bMP0r1CwvUlMdGsOPekVFE6YbJJIQSVVHSVCmXT4QFsMuSCntyET7v5dwX9lDZr4OdXFLe9gIVLdKUkd586CgXBMtOuKDOFmEOa0Fi53JDwm4WFpSEfdXWigyXNAJOgrCITt/10Yn0vAfLQuiu34Q1A2sJ0tpuuDZF2SxpT/liCD114vOPScmDetIu1xC67oKOut1UQ0ChnqB7Kie410HEXdJo2ZUTNonJUbJ0FM4vmw6FS9ImNByj+NjxxtsLA6SXfQqDz7MBqaKykh1AVO5R5Gi56a21pGsNq3trFZ2Nn4lAnWSdHwXsYmHFpNtSO6qCT3jMLBVCCqpC1N4n4iy7WycYZGKW6OeyvPGYMdUxUL7QJ1m1BilVOhn5ABwDkTPMGr2wjSWbo/rCkrZ3BefQDg/kWoByNDYtj14ApwRiW3ZPQEpd7v4W1fVel+a+QMh3lofx/gT719Y++n8QF9QbSxaydoBdxWgD3fTNMsZeEheBiZKiej/1ovKxf/DZNByLTkKChkIb7e4Ek5/Kly3oz5JcyzK4rzy0DYq+rGe88GdaadH4JpURoQC3lbS8+NcspnTPZFGBDRkkw2gEcm2IN/d98mb8E5JFQBA+5gmVPUVD4ugV+EX2SJUIlP3+bRNVJX8qb99NHeZ67AqW1D3iLUq23PLS5k/DyEiCAowyg5EVDKfd1FAjfrLIc8y9IgUb3rBXeLIBC4BE39vl7N6DPEPjtV1TMiQoiiSOVc69rZYTLL3Req3cW/cDrVVfWe7raMsbJ8LV6yOTVi8kIvWnJnvnubgf5RkRFIKP2DzIGiDhgB"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":12329,"cache_read_input_tokens":18006,"cache_creation":{"ephemeral_5m_input_tokens":12329,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"daef9867-7792-4322-ac43-5cc58e8fc364","timestamp":"2026-10-17T23:26:02.355Z","request_id":"req_011Cg8fv2ouoBoJhBBKvXpw3","thinking_duration_ms":99175,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fv39FhWXa238ataJbT","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01QCf57FewFuLLCdLQnJzwwf","name":"Bash","input":{"command":"cat task_api.py; sed -n 1,200p nodus_autosave.py; python -c \"\nimport torch\np=torch.cuda.get_device_properties(0)\nprint(p)\nprint(p.multi_processor_count)\n\"; pip show triton 2>/dev/null | head -3; python -c \"import triton,os; print(os.path.dirname(triton.__file__))\"","description":"Show task API, autosave, and GPU properties"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":12329,"cache_read_input_tokens":18006,"cache_creation":{"ephemeral_5m_input_tokens":12329,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"51b9f106-27a9-4797-90fb-c097aea92199","timestamp":"2026-10-17T23:26:02.362Z","request_id":"req_011Cg8fv2ouoBoJhBBKvXpw3"}
{"type":"system","subtype":"task_started","task_id":"b5o58d4pi","run_id":"0mvd0z7f8-9cc9f2cc","tool_use_id":"toolu_01QCf57FewFuLLCdLQnJzwwf","description":"Show task API, autosave, and GPU properties","is_backgrounded":false,"task_type":"local_bash","uuid":"46882b35-a39e-4483-a363-c8716abdfe4a","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"b5o58d4pi","run_id":"0mvd0z7f8-9cc9f2cc","tool_use_id":"toolu_01QCf57FewFuLLCdLQnJzwwf","status":"completed","output_file":"","summary":"Show task API, autosave, and GPU properties","uuid":"e6587ae1-9478-4f8d-b569-0c9d13062ab0","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01QCf57FewFuLLCdLQnJzwwf","type":"tool_result","content":"\"\"\"Task API for the agent: Case, Task and input helpers (public copy, standard normal inputs only).\"\"\"\nfrom dataclasses import dataclass, field\n\n@dataclass\nclass Case:\n    args: list\n    outputs: tuple = ()\n    inplace: tuple = ()\n    shape: dict = field(default_factory=dict)\n    dist: str = 'normal'\n\n    @property\n    def checked(self):\n        return tuple(self.outputs) + tuple(self.inplace)\n\n@dataclass\nclass Task:\n    name: str\n    title: str\n    models: str\n    semantics: str\n    signature: str\n    shapes: list\n    edge_shapes: list\n    dists: list\n    make_case: object\n    reference: object\n    check: object\n    bytes_moved: object\n    vllm: object = None\n    notes: str = ''\n    weight: float = 1.0\n    gpus: tuple = ()\n    ceilings: dict = None\n    langs: tuple = ('triton',)\n\n    def meta(self):\n        return {'name': self.name, 'title': self.title, 'models': self.models, 'semantics': self.semantics, 'signature': self.signature, 'shapes': self.shapes, 'edge_shapes': self.edge_shapes, 'dists': self.dists, 'notes': self.notes, 'weight': self.weight}\n\ndef shape_key(shape):\n    return ','.join((f'{k}={v}' for k, v in shape.items() if k not in ('model', 'seq')))\nimport torch\n\ndef gen(device, seed):\n    g = torch.Generator(device=device)\n    g.manual_seed(int(seed) & 140737488355327)\n    return g\n\ndef randn(shape, g, device, dist='normal', scale=1.0):\n    \"\"\"Public inputs: standard normal values times scale. The verifier also checks hidden input distributions.\"\"\"\n    return torch.randn(shape, generator=g, device=device, dtype=torch.float32) * scale\n\ndef close(got, exp, atol, rtol, scale_atol=False):\n    \"\"\"Elementwise |got - exp| <= atol + rtol*|exp| with NaN/Inf handling. Returns (ok, stats).\n    scale_atol multiplies atol by the RMS of the expected values, so near-zero outputs of large inputs (cancellation)\n    are judged at the precision of their inputs.\"\"\"\n    if tuple(got.shape) != tuple(exp.shape):\n        return (False, {'error': f'shape {tuple(got.shape)} != {tuple(exp.shape)}'})\n    g, e = (got.float(), exp.float())\n    fin_e = torch.isfinite(e)\n    if scale_atol and e.numel():\n        atol = atol * max(1.0, float(torch.where(fin_e, e, torch.zeros_like(e)).pow(2).mean().sqrt().item()))\n    bad_nonfinite = int((~torch.isfinite(g) & fin_e).sum().item())\n    diff = (g - e).abs()\n    diff = torch.where(fin_e & torch.isfinite(g), diff, torch.zeros_like(diff))\n    tol = atol + rtol * e.abs()\n    bad = int(((diff > tol) & fin_e).sum().item()) + bad_nonfinite\n    n = max(1, e.numel())\n    stats = {'max_abs': float(diff.max().item()) if diff.numel() else 0.0, 'max_rel': float((diff / e.abs().clamp_min(1e-06)).max().item()) if diff.numel() else 0.0, 'bad': bad, 'bad_frac': bad / n, 'nonfinite': bad_nonfinite}\n    return (bad == 0, stats)\n\ndef mag_close(got, exp, mag, rtol, mag_tol):\n    \"\"\"|got - exp| <= rtol * |exp| + mag_tol * mag per element, where mag is the sum of the absolute values of the\n    terms that make up each output (the natural scale of summation error). Non-finite outputs fail.\"\"\"\n    g, e, m = (got.float(), exp.float(), mag.float())\n    if g.shape != e.shape:\n        return (False, {'error': f'shape {tuple(g.shape)} != {tuple(e.shape)}'})\n    tol = rtol * e.abs() + mag_tol * m + 1e-30\n    finite = torch.isfinite(g)\n    diff = torch.where(finite, (g - e).abs(), torch.full_like(g, float('inf')))\n    bad = int((diff > tol).sum().item())\n    fin = torch.where(finite, diff, torch.zeros_like(diff))\n    return (bad == 0, {'max_abs': float(fin.max().item()) if g.numel() else 0.0, 'max_over_tol': float((fin / tol).max().item()) if g.numel() else 0.0, 'bad': bad, 'bad_frac': bad / max(1, e.numel()), 'nonfinite': int((~finite).sum().item())})\n\ndef fp8_ulp(v):\n    \"\"\"Spacing of float8_e4m3fn values around |v| (3 mantissa bits, min normal 2^-6, subnormal step 2^-9).\"\"\"\n    a = v.abs().clamp_min(2.0 ** (-6))\n    return torch.exp2(torch.floor(torch.log2(a)) - 3.0)\n\ndef rope_cache(max_pos, dim, base, device):\n    inv = 1.0 / base ** (torch.arange(0, dim, 2, device=device, dtype=torch.float32) / dim)\n    t = torch.arange(max_pos, device=device, dtype=torch.float32)\n    f = torch.outer(t, inv)\n    return torch.cat([f.cos(), f.sin()], dim=-1).to(torch.bfloat16)\n\ndef positions(T, max_pos, g, device, sequential):\n    if sequential:\n        start = int(torch.randint(0, max(1, max_pos - T), (1,), generator=g, device=device).item())\n        return torch.arange(start, start + T, device=device, dtype=torch.int64)\n    return torch.randint(0, max_pos, (T,), generator=g, device=device, dtype=torch.int64)\n\ndef rope_neox(x, cos, sin):\n    \"\"\"x [T, H, D] any float dtype, cos/sin [T, D/2] float32. Returns float32.\"\"\"\n    half = x.shape[-1] // 2\n    x1, x2 = (x[..., :half].float(), x[..., half:].float())\n    c, s = (cos[:, None, :], sin[:, None, :])\n    return torch.cat([x1 * c - x2 * s, x2 * c + x1 * s], dim=-1)\n\ndef ensure_vllm():\n    \"\"\"Import vLLM's compiled ops so torch.ops._C and torch.ops._moe_C are registered.\"\"\"\n    import vllm._custom_ops\n    try:\n        import vllm._moe_C\n    except Exception:\n        pass\n    return torch.ops\n\"\"\"Best-version autosave, the agent's side (hardened feature \"autosave\"; shipped as /workspace/nodus_autosave.py).\n\nEvery run of /workspace/check.py ends here. When the solution it checked was correct on every public shape, the run\nis logged in /workspace/.best/history.jsonl (time, measured speedup over the starting kernel, file hash), and when it\nis also faster than the best saved so far, the file is copied to /workspace/.best/solution.py. After the session the\ncollect step hands .best/solution.py and the history to the sealed verifier next to /workspace/solution.py. If\nsolution.py is missing or not correct, the verifier grades the best saved version instead (kernel_lab/judge/autosave.py).\nThe speeds here are check.py's quick measurements, not the verifier's: they decide what to keep and draw the\nscore-over-time curve. The grade always comes from the sealed verifier.\n\"\"\"\nimport hashlib\nimport json\nimport math\nimport os\nimport re\nimport time\n\nBEST = os.environ.get('NODUS_BEST_DIR', '/workspace/.best')\n_LINE = re.compile(r': correct, ([0-9.]+) us, starting kernel ([0-9.]+) us')\n\n\ndef parse(out):\n    \"\"\"(correct, speedup over the starting kernel) from check.py's printed lines (single-GPU check).\"\"\"\n    if 'WRONG' in out or 'REJECTED' in out or 'Traceback' in out:\n        return False, 0.0\n    pairs = [(float(a), float(b)) for a, b in _LINE.findall(out)]\n    if not pairs or any(a <= 0 for a, _ in pairs):\n        return False, 0.0\n    return True, math.exp(sum(math.log(b / a) for a, b in pairs) / len(pairs))\n\n\ndef parse_report(rep):\n    \"\"\"(correct, speedup over the starting kernel) from the 8-GPU check's worker report.\"\"\"\n    sp = ((rep or {}).get('summary') or {}).get('geo_vs_champion') or 0.0\n    return (rep or {}).get('status') == 'ok' and sp > 0, float(sp)\n\n\ndef _best_speed():\n    try:\n        with open(os.path.join(BEST, 'best.json')) as f:\n            return float(json.load(f).get('speedup') or 0.0)\n    except (OSError, ValueError):\n        return 0.0\n\n\ndef save(path, correct, speedup, now=None):\n    \"\"\"Log a correct check and keep the file when it beats the best so far. Returns True when it was saved.\"\"\"\n    if not correct or not speedup or not os.path.isfile(path) or os.path.islink(path):\n        return False\n    os.makedirs(BEST, exist_ok=True)\n    with open(path, 'rb') as f:\n        data = f.read()\n    saved = speedup > _best_speed()\n    if saved:\n        tmp = os.path.join(BEST, '.solution.py.tmp')\n        with open(tmp, 'wb') as f:\n            f.write(data)\n        os.replace(tmp, os.path.join(BEST, 'solution.py'))\n        with open(os.path.join(BEST, 'best.json'), 'w') as f:\n            json.dump({'speedup': speedup, 'sha256': hashlib.sha256(data).hexdigest()}, f)\n    with open(os.path.join(BEST, 'history.jsonl'), 'a') as f:\n        f.write(json.dumps({'t': round(now or time.time(), 1), 'speedup': round(speedup, 4), 'saved': int(saved),\n                            'sha256': hashlib.sha256(data).hexdigest()[:16]}) + '\\n')\n    if saved:\n        print(f'autosave: kept this version in {BEST}/solution.py ({speedup:.3f}x the starting kernel on the public '\n              'shapes)')\n    return saved\n\n\ndef record(path, out):\n    try:\n        return save(path, *parse(out))\n    except Exception as e:  # noqa: BLE001   autosave must never break check.py\n        print(f'autosave: skipped ({type(e).__name__}: {e})')\n        return False\n\n\ndef record_report(path, rep):\n    try:\n        return save(path, *parse_report(rep))\n    except Exception as e:  # noqa: BLE001\n        print(f'autosave: skipped ({type(e).__name__}: {e})')\n        return False\n\n\n# Strict versions (kernel_lab/harden.py autosave_agent_source): every check.py run also keeps the full code it checks,\n# correct, wrong or crashing, in .best/calls/<n>-<sha>.py (the packaging audit: the history alone has hashes only). Capped.\nCALLS = os.path.join(BEST, 'calls')\nMAX_CALLS, MAX_CALL_BYTES = 2000, 256 * 1024\n\n\ndef keep_call(path):\n    try:\n        if not os.path.isfile(path) or os.path.islink(path):\n            return\n        with open(path, 'rb') as f:\n            data = f.read(MAX_CALL_BYTES + 1)\n        if len(data) > MAX_CALL_BYTES:\n            return\n        os.makedirs(CALLS, exist_ok=True)\n        n = len(os.listdir(CALLS))\n        if n >= MAX_CALLS:\n            return\n        with open(os.path.join(CALLS, f'{n + 1:04d}-{hashlib.sha256(data).hexdigest()[:16]}.py'), 'wb') as f:\n            f.write(data)\n    except Exception as e:  # noqa: BLE001   never break check.py\n        print(f'autosave: call not kept ({type(e).__name__}: {e})')\n\n\n# kept when check.py imports this module, before it runs the solution: a check that crashes is kept too\nimport sys  # noqa: E402\nkeep_call(sys.argv[1] if len(sys.argv) > 1 and sys.argv[1].endswith('.py') else '/workspace/solution.py')\n_CudaDeviceProperties(name='NVIDIA B300 SXM6 AC', major=10, minor=3, total_memory=274101MB, multi_processor_count=148, uuid=f613b697-6f88-d1df-2429-a6fff7f9a333, pci_bus_id=88, pci_device_id=0, pci_domain_id=0, L2_cache_size=126MB)\n148\n/usr/local/lib/python3.12/dist-packages/triton","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c8219f9a-75e4-4bb1-a71f-3dd76d3c33b2","timestamp":"2026-10-17T23:26:06.093Z","tool_use_result":{"stdout":"\"\"\"Task API for the agent: Case, Task and input helpers (public copy, standard normal inputs only).\"\"\"\nfrom dataclasses import dataclass, field\n\n@dataclass\nclass Case:\n    args: list\n    outputs: tuple = ()\n    inplace: tuple = ()\n    shape: dict = field(default_factory=dict)\n    dist: str = 'normal'\n\n    @property\n    def checked(self):\n        return tuple(self.outputs) + tuple(self.inplace)\n\n@dataclass\nclass Task:\n    name: str\n    title: str\n    models: str\n    semantics: str\n    signature: str\n    shapes: list\n    edge_shapes: list\n    dists: list\n    make_case: object\n    reference: object\n    check: object\n    bytes_moved: object\n    vllm: object = None\n    notes: str = ''\n    weight: float = 1.0\n    gpus: tuple = ()\n    ceilings: dict = None\n    langs: tuple = ('triton',)\n\n    def meta(self):\n        return {'name': self.name, 'title': self.title, 'models': self.models, 'semantics': self.semantics, 'signature': self.signature, 'shapes': self.shapes, 'edge_shapes': self.edge_shapes, 'dists': self.dists, 'notes': self.notes, 'weight': self.weight}\n\ndef shape_key(shape):\n    return ','.join((f'{k}={v}' for k, v in shape.items() if k not in ('model', 'seq')))\nimport torch\n\ndef gen(device, seed):\n    g = torch.Generator(device=device)\n    g.manual_seed(int(seed) & 140737488355327)\n    return g\n\ndef randn(shape, g, device, dist='normal', scale=1.0):\n    \"\"\"Public inputs: standard normal values times scale. The verifier also checks hidden input distributions.\"\"\"\n    return torch.randn(shape, generator=g, device=device, dtype=torch.float32) * scale\n\ndef close(got, exp, atol, rtol, scale_atol=False):\n    \"\"\"Elementwise |got - exp| <= atol + rtol*|exp| with NaN/Inf handling. Returns (ok, stats).\n    scale_atol multiplies atol by the RMS of the expected values, so near-zero outputs of large inputs (cancellation)\n    are judged at the precision of their inputs.\"\"\"\n    if tuple(got.shape) != tuple(exp.shape):\n        return (False, {'error': f'shape {tuple(got.shape)} != {tuple(exp.shape)}'})\n    g, e = (got.float(), exp.float())\n    fin_e = torch.isfinite(e)\n    if scale_atol and e.numel():\n        atol = atol * max(1.0, float(torch.where(fin_e, e, torch.zeros_like(e)).pow(2).mean().sqrt().item()))\n    bad_nonfinite = int((~torch.isfinite(g) & fin_e).sum().item())\n    diff = (g - e).abs()\n    diff = torch.where(fin_e & torch.isfinite(g), diff, torch.zeros_like(diff))\n    tol = atol + rtol * e.abs()\n    bad = int(((diff > tol) & fin_e).sum().item()) + bad_nonfinite\n    n = max(1, e.numel())\n    stats = {'max_abs': float(diff.max().item()) if diff.numel() else 0.0, 'max_rel': float((diff / e.abs().clamp_min(1e-06)).max().item()) if diff.numel() else 0.0, 'bad': bad, 'bad_frac': bad / n, 'nonfinite': bad_nonfinite}\n    return (bad == 0, stats)\n\ndef mag_close(got, exp, mag, rtol, mag_tol):\n    \"\"\"|got - exp| <= rtol * |exp| + mag_tol * mag per element, where mag is the sum of the absolute values of the\n    terms that make up each output (the natural scale of summation error). Non-finite outputs fail.\"\"\"\n    g, e, m = (got.float(), exp.float(), mag.float())\n    if g.shape != e.shape:\n        return (False, {'error': f'shape {tuple(g.shape)} != {tuple(e.shape)}'})\n    tol = rtol * e.abs() + mag_tol * m + 1e-30\n    finite = torch.isfinite(g)\n    diff = torch.where(finite, (g - e).abs(), torch.full_like(g, float('inf')))\n    bad = int((diff > tol).sum().item())\n    fin = torch.where(finite, diff, torch.zeros_like(diff))\n    return (bad == 0, {'max_abs': float(fin.max().item()) if g.numel() else 0.0, 'max_over_tol': float((fin / tol).max().item()) if g.numel() else 0.0, 'bad': bad, 'bad_frac': bad / max(1, e.numel()), 'nonfinite': int((~finite).sum().item())})\n\ndef fp8_ulp(v):\n    \"\"\"Spacing of float8_e4m3fn values around |v| (3 mantissa bits, min normal 2^-6, subnormal step 2^-9).\"\"\"\n    a = v.abs().clamp_min(2.0 ** (-6))\n    return torch.exp2(torch.floor(torch.log2(a)) - 3.0)\n\ndef rope_cache(max_pos, dim, base, device):\n    inv = 1.0 / base ** (torch.arange(0, dim, 2, device=device, dtype=torch.float32) / dim)\n    t = torch.arange(max_pos, device=device, dtype=torch.float32)\n    f = torch.outer(t, inv)\n    return torch.cat([f.cos(), f.sin()], dim=-1).to(torch.bfloat16)\n\ndef positions(T, max_pos, g, device, sequential):\n    if sequential:\n        start = int(torch.randint(0, max(1, max_pos - T), (1,), generator=g, device=device).item())\n        return torch.arange(start, start + T, device=device, dtype=torch.int64)\n    return torch.randint(0, max_pos, (T,), generator=g, device=device, dtype=torch.int64)\n\ndef rope_neox(x, cos, sin):\n    \"\"\"x [T, H, D] any float dtype, cos/sin [T, D/2] float32. Returns float32.\"\"\"\n    half = x.shape[-1] // 2\n    x1, x2 = (x[..., :half].float(), x[..., half:].float())\n    c, s = (cos[:, None, :], sin[:, None, :])\n    return torch.cat([x1 * c - x2 * s, x2 * c + x1 * s], dim=-1)\n\ndef ensure_vllm():\n    \"\"\"Import vLLM's compiled ops so torch.ops._C and torch.ops._moe_C are registered.\"\"\"\n    import vllm._custom_ops\n    try:\n        import vllm._moe_C\n    except Exception:\n        pass\n    return torch.ops\n\"\"\"Best-version autosave, the agent's side (hardened feature \"autosave\"; shipped as /workspace/nodus_autosave.py).\n\nEvery run of /workspace/check.py ends here. When the solution it checked was correct on every public shape, the run\nis logged in /workspace/.best/history.jsonl (time, measured speedup over the starting kernel, file hash), and when it\nis also faster than the best saved so far, the file is copied to /workspace/.best/solution.py. After the session the\ncollect step hands .best/solution.py and the history to the sealed verifier next to /workspace/solution.py. If\nsolution.py is missing or not correct, the verifier grades the best saved version instead (kernel_lab/judge/autosave.py).\nThe speeds here are check.py's quick measurements, not the verifier's: they decide what to keep and draw the\nscore-over-time curve. The grade always comes from the sealed verifier.\n\"\"\"\nimport hashlib\nimport json\nimport math\nimport os\nimport re\nimport time\n\nBEST = os.environ.get('NODUS_BEST_DIR', '/workspace/.best')\n_LINE = re.compile(r': correct, ([0-9.]+) us, starting kernel ([0-9.]+) us')\n\n\ndef parse(out):\n    \"\"\"(correct, speedup over the starting kernel) from check.py's printed lines (single-GPU check).\"\"\"\n    if 'WRONG' in out or 'REJECTED' in out or 'Traceback' in out:\n        return False, 0.0\n    pairs = [(float(a), float(b)) for a, b in _LINE.findall(out)]\n    if not pairs or any(a <= 0 for a, _ in pairs):\n        return False, 0.0\n    return True, math.exp(sum(math.log(b / a) for a, b in pairs) / len(pairs))\n\n\ndef parse_report(rep):\n    \"\"\"(correct, speedup over the starting kernel) from the 8-GPU check's worker report.\"\"\"\n    sp = ((rep or {}).get('summary') or {}).get('geo_vs_champion') or 0.0\n    return (rep or {}).get('status') == 'ok' and sp > 0, float(sp)\n\n\ndef _best_speed():\n    try:\n        with open(os.path.join(BEST, 'best.json')) as f:\n            return float(json.load(f).get('speedup') or 0.0)\n    except (OSError, ValueError):\n        return 0.0\n\n\ndef save(path, correct, speedup, now=None):\n    \"\"\"Log a correct check and keep the file when it beats the best so far. Returns True when it was saved.\"\"\"\n    if not correct or not speedup or not os.path.isfile(path) or os.path.islink(path):\n        return False\n    os.makedirs(BEST, exist_ok=True)\n    with open(path, 'rb') as f:\n        data = f.read()\n    saved = speedup > _best_speed()\n    if saved:\n        tmp = os.path.join(BEST, '.solution.py.tmp')\n        with open(tmp, 'wb') as f:\n            f.write(data)\n        os.replace(tmp, os.path.join(BEST, 'solution.py'))\n        with open(os.path.join(BEST, 'best.json'), 'w') as f:\n            json.dump({'speedup': speedup, 'sha256': hashlib.sha256(data).hexdigest()}, f)\n    with open(os.path.join(BEST, 'history.jsonl'), 'a') as f:\n        f.write(json.dumps({'t': round(now or time.time(), 1), 'speedup': round(speedup, 4), 'saved': int(saved),\n                            'sha256': hashlib.sha256(data).hexdigest()[:16]}) + '\\n')\n    if saved:\n        print(f'autosave: kept this version in {BEST}/solution.py ({speedup:.3f}x the starting kernel on the public '\n              'shapes)')\n    return saved\n\n\ndef record(path, out):\n    try:\n        return save(path, *parse(out))\n    except Exception as e:  # noqa: BLE001   autosave must never break check.py\n        print(f'autosave: skipped ({type(e).__name__}: {e})')\n        return False\n\n\ndef record_report(path, rep):\n    try:\n        return save(path, *parse_report(rep))\n    except Exception as e:  # noqa: BLE001\n        print(f'autosave: skipped ({type(e).__name__}: {e})')\n        return False\n\n\n# Strict versions (kernel_lab/harden.py autosave_agent_source): every check.py run also keeps the full code it checks,\n# correct, wrong or crashing, in .best/calls/<n>-<sha>.py (the packaging audit: the history alone has hashes only). Capped.\nCALLS = os.path.join(BEST, 'calls')\nMAX_CALLS, MAX_CALL_BYTES = 2000, 256 * 1024\n\n\ndef keep_call(path):\n    try:\n        if not os.path.isfile(path) or os.path.islink(path):\n            return\n        with open(path, 'rb') as f:\n            data = f.read(MAX_CALL_BYTES + 1)\n        if len(data) > MAX_CALL_BYTES:\n            return\n        os.makedirs(CALLS, exist_ok=True)\n        n = len(os.listdir(CALLS))\n        if n >= MAX_CALLS:\n            return\n        with open(os.path.join(CALLS, f'{n + 1:04d}-{hashlib.sha256(data).hexdigest()[:16]}.py'), 'wb') as f:\n            f.write(data)\n    except Exception as e:  # noqa: BLE001   never break check.py\n        print(f'autosave: call not kept ({type(e).__name__}: {e})')\n\n\n# kept when check.py imports this module, before it runs the solution: a check that crashes is kept too\nimport sys  # noqa: E402\nkeep_call(sys.argv[1] if len(sys.argv) > 1 and sys.argv[1].endswith('.py') else '/workspace/solution.py')\n_CudaDeviceProperties(name='NVIDIA B300 SXM6 AC', major=10, minor=3, total_memory=274101MB, multi_processor_count=148, uuid=f613b697-6f88-d1df-2429-a6fff7f9a333, pci_bus_id=88, pci_device_id=0, pci_domain_id=0, L2_cache_size=126MB)\n148\n/usr/local/lib/python3.12/dist-packages/triton","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01QCf57FewFuLLCdLQnJzwwf","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":6,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3dac9670-5c38-47fa-a38f-e6ed3d8000f0"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":7,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a56d9641-e8d0-4301-8014-ecff775d7854"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":10,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1fbcfde0-d8e9-4198-89ae-040f4a6024bb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":15,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"2623fe78-eb1a-49a6-85aa-30027cc5719e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":18,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"fdc8ccc5-06a7-42e5-a664-f1f2b6713942"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":25,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8da726ff-6116-491c-b2c3-55708da0934d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":32,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"337e158d-8a47-4316-ad7f-6b97b09212c1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":39,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"fee7cb87-4b31-473f-a600-998c42d1d566"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":41,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"11899abd-e908-471b-adb3-9ab26fdbe858"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":45,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a4f48730-c011-4b76-bec8-688eb105220d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":51,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"cbc73bb7-e1fb-44d9-bd18-5a169bb94f45"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":53,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a887ee2f-1810-48fe-b1fb-05e4514e9c3f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":58,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0d5961b5-52f9-4de8-a8f3-566d84405ebf"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g3mzQUU4QCqcK615B4","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Noting the hardware specs - 148 SMs, sm_103 architecture, 126MB L2 cache. Now I want to check what Triton supports around warp specialization, two-CTA clusters, num_ctas, and tensor memory (tmem) by searching through its Python source.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":15130,"cache_read_input_tokens":30335,"cache_creation":{"ephemeral_5m_input_tokens":15130,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"5a595c4a-42b3-4ae6-a9ca-06b4e1d4808f","timestamp":"2026-10-17T23:26:10.356Z","request_id":"req_011Cg8g3mc5tDVLJR55PZUXP","thinking_duration_ms":1818,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g3mzQUU4QCqcK615B4","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01UB388mQBppX2eCxm27h8sA","name":"Bash","input":{"command":"cd /usr/local/lib/python3.12/dist-packages/triton && ls; grep -rn \"two_ctas\\|two_cta\\|2cta\\|TwoCTA\" --include=*.py . | head -30; grep -rn \"warp_specialize\" --include=*.py . | head -20","description":"Search Triton install for 2-CTA and warp specialization support"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":15130,"cache_read_input_tokens":30335,"cache_creation":{"ephemeral_5m_input_tokens":15130,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4413955a-e97a-4061-965a-2e5acec8373e","timestamp":"2026-10-17T23:26:10.462Z","request_id":"req_011Cg8g3mc5tDVLJR55PZUXP"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01UB388mQBppX2eCxm27h8sA","type":"tool_result","content":"FileCheck\n_C\n__init__.py\n_filecheck.py\n_internal_testing.py\n_utils.py\nbackends\ncompiler\nerrors.py\nexperimental\ninstrumentation\nknobs.py\nlanguage\nplugins\nprofiler\nruntime\ntesting.py\ntools\nbackends/nvidia/compiler.py:358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\nexperimental/gluon/language/nvidia/blackwell/__init__.py:46:        two_ctas (bool): Whether the layout is for two-CTA mode. Defaults to False.\nexperimental/gluon/language/nvidia/blackwell/__init__.py:51:    two_ctas: bool = False\nexperimental/gluon/language/nvidia/blackwell/__init__.py:57:        super().__setattr__(\"two_ctas\", _unwrap_if_constexpr(self.two_ctas))\nexperimental/gluon/language/nvidia/blackwell/__init__.py:69:            self.two_ctas,\nexperimental/gluon/language/nvidia/blackwell/__init__.py:76:        two_ctas_str = \"2CT\" if self.two_ctas else \"\"\nexperimental/gluon/language/nvidia/blackwell/__init__.py:77:        return f\"TL{block_str}{stride_str}{cta_split_str}{two_ctas_str}TL\"\nexperimental/gluon/language/nvidia/blackwell/__init__.py:80:        return hash((self.block, self.col_stride, self.cta_split_num, self.two_ctas))\nexperimental/gluon/language/nvidia/blackwell/__init__.py:343:            layout.two_ctas,\nexperimental/gluon/language/nvidia/blackwell/__init__.py:464:                                         mbarrier_preds, acc.layout.two_ctas, multicast)\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:24:    def multicta(num_ctas: int, two_cta: bool = False):\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:30:            two_cta (bool): Whether the barrier should synchronize every other CTA\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:33:        two_cta = ttgl._unwrap_if_constexpr(two_cta)\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:34:        if two_cta:\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:40:        if two_cta:\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:50:def allocate_mbarrier(batch: ttgl.constexpr = None, two_ctas: ttgl.constexpr = False):\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:55:        two_ctas (bool): Whether the barrier should synchronize every other CTA\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:58:    num_elems: ttgl.constexpr = num_ctas if not two_ctas else num_ctas // 2\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:64:        MBarrierLayout.multicta(num_ctas=num_ctas, two_cta=two_ctas),\ncompiler/code_generator.py:1178:        warp_specialize = False\ncompiler/code_generator.py:1192:            warp_specialize = iterator.warp_specialize\ncompiler/code_generator.py:1254:            if warp_specialize:\ncompiler/code_generator.py:1255:                for_op.set_attr(\"tt.warp_specialize\", self.builder.get_unit_attr())\nlanguage/core.py:3310:    :param warp_specialize: Enable automatic warp specialization on the loop.\nlanguage/core.py:3324:                 disallow_acc_multi_buffer=False, flatten=False, warp_specialize=False, disable_licm=False):\nlanguage/core.py:3339:        self.warp_specialize = warp_specialize\nbackends/amd/compiler.py:321:        amd.passes.ttgpuir.add_warp_specialize_to_llvm(pm, options.arch)\nbackends/nvidia/compiler.py:292:            passes.ttgpuir.add_warp_specialize(pm, opt.num_stages)\nbackends/nvidia/compiler.py:371:        nvidia.passes.ttnvgpuir.add_warp_specialize_to_llvm(pm)\nexperimental/gluon/language/_semantic.py:540:    def warp_specialize(self, functions_and_args, worker_num_warps: Sequence[int], worker_num_regs: Sequence[int],\nexperimental/gluon/language/_semantic.py:575:        ws_op = builder.create_warp_specialize(result_types, worker_num_warps)\nexperimental/gluon/language/_semantic.py:583:        partitions_op = builder.create_warp_specialize_partitions(mlir_args, num_partitions)\nexperimental/gluon/language/__init__.py:87:    warp_specialize,\nexperimental/gluon/language/_core.py:534:def warp_specialize(functions_and_args, worker_num_warps, worker_num_regs=None, _semantic=None, _generator=None):\nexperimental/gluon/language/_core.py:543:    Note that calling warp_specialize recursively is not supported.\nexperimental/gluon/language/_core.py:557:    return _semantic.warp_specialize(functions_and_args, worker_num_warps, worker_num_regs, _generator)\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e8b24702-b3f5-4a1d-a83b-63e527ea1cd1","timestamp":"2026-10-17T23:26:10.566Z","tool_use_result":{"stdout":"FileCheck\n_C\n__init__.py\n_filecheck.py\n_internal_testing.py\n_utils.py\nbackends\ncompiler\nerrors.py\nexperimental\ninstrumentation\nknobs.py\nlanguage\nplugins\nprofiler\nruntime\ntesting.py\ntools\nbackends/nvidia/compiler.py:358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\nexperimental/gluon/language/nvidia/blackwell/__init__.py:46:        two_ctas (bool): Whether the layout is for two-CTA mode. Defaults to False.\nexperimental/gluon/language/nvidia/blackwell/__init__.py:51:    two_ctas: bool = False\nexperimental/gluon/language/nvidia/blackwell/__init__.py:57:        super().__setattr__(\"two_ctas\", _unwrap_if_constexpr(self.two_ctas))\nexperimental/gluon/language/nvidia/blackwell/__init__.py:69:            self.two_ctas,\nexperimental/gluon/language/nvidia/blackwell/__init__.py:76:        two_ctas_str = \"2CT\" if self.two_ctas else \"\"\nexperimental/gluon/language/nvidia/blackwell/__init__.py:77:        return f\"TL{block_str}{stride_str}{cta_split_str}{two_ctas_str}TL\"\nexperimental/gluon/language/nvidia/blackwell/__init__.py:80:        return hash((self.block, self.col_stride, self.cta_split_num, self.two_ctas))\nexperimental/gluon/language/nvidia/blackwell/__init__.py:343:            layout.two_ctas,\nexperimental/gluon/language/nvidia/blackwell/__init__.py:464:                                         mbarrier_preds, acc.layout.two_ctas, multicast)\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:24:    def multicta(num_ctas: int, two_cta: bool = False):\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:30:            two_cta (bool): Whether the barrier should synchronize every other CTA\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:33:        two_cta = ttgl._unwrap_if_constexpr(two_cta)\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:34:        if two_cta:\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:40:        if two_cta:\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:50:def allocate_mbarrier(batch: ttgl.constexpr = None, two_ctas: ttgl.constexpr = False):\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:55:        two_ctas (bool): Whether the barrier should synchronize every other CTA\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:58:    num_elems: ttgl.constexpr = num_ctas if not two_ctas else num_ctas // 2\nexperimental/gluon/language/nvidia/ampere/mbarrier.py:64:        MBarrierLayout.multicta(num_ctas=num_ctas, two_cta=two_ctas),\ncompiler/code_generator.py:1178:        warp_specialize = False\ncompiler/code_generator.py:1192:            warp_specialize = iterator.warp_specialize\ncompiler/code_generator.py:1254:            if warp_specialize:\ncompiler/code_generator.py:1255:                for_op.set_attr(\"tt.warp_specialize\", self.builder.get_unit_attr())\nlanguage/core.py:3310:    :param warp_specialize: Enable automatic warp specialization on the loop.\nlanguage/core.py:3324:                 disallow_acc_multi_buffer=False, flatten=False, warp_specialize=False, disable_licm=False):\nlanguage/core.py:3339:        self.warp_specialize = warp_specialize\nbackends/amd/compiler.py:321:        amd.passes.ttgpuir.add_warp_specialize_to_llvm(pm, options.arch)\nbackends/nvidia/compiler.py:292:            passes.ttgpuir.add_warp_specialize(pm, opt.num_stages)\nbackends/nvidia/compiler.py:371:        nvidia.passes.ttnvgpuir.add_warp_specialize_to_llvm(pm)\nexperimental/gluon/language/_semantic.py:540:    def warp_specialize(self, functions_and_args, worker_num_warps: Sequence[int], worker_num_regs: Sequence[int],\nexperimental/gluon/language/_semantic.py:575:        ws_op = builder.create_warp_specialize(result_types, worker_num_warps)\nexperimental/gluon/language/_semantic.py:583:        partitions_op = builder.create_warp_specialize_partitions(mlir_args, num_partitions)\nexperimental/gluon/language/__init__.py:87:    warp_specialize,\nexperimental/gluon/language/_core.py:534:def warp_specialize(functions_and_args, worker_num_warps, worker_num_regs=None, _semantic=None, _generator=None):\nexperimental/gluon/language/_core.py:543:    Note that calling warp_specialize recursively is not supported.\nexperimental/gluon/language/_core.py:557:    return _semantic.warp_specialize(functions_and_args, worker_num_warps, worker_num_regs, _generator)","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01UB388mQBppX2eCxm27h8sA","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g4767YXAW97QgHEfL1","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01BHDmFGbvyMFjTpAPU4Urzd","name":"Bash","input":{"command":"cd /usr/local/lib/python3.12/dist-packages/triton && sed -n 200,420p backends/nvidia/compiler.py","description":"Inspect NVIDIA backend compile pipeline"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2206,"cache_read_input_tokens":45465,"cache_creation":{"ephemeral_5m_input_tokens":2206,"ephemeral_1h_input_tokens":0},"output_tokens":16,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"42f3daee-3e4a-4ab4-acf3-1709bfaa5226","timestamp":"2026-10-17T23:26:12.998Z","request_id":"req_011Cg8g46jmvvHpAk3Hh2n49"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01BHDmFGbvyMFjTpAPU4Urzd","type":"tool_result","content":"        if \"enable_fp_fusion\" not in args:\n            args[\"enable_fp_fusion\"] = knobs.language.default_fp_fusion\n\n        args[\"max_num_imprecise_acc_default\"] = 2**30 if capability == 90 else 0\n\n        return CUDAOptions(**args)\n\n    def pack_metadata(self, metadata):\n        return (\n            metadata.num_warps,\n            metadata.num_ctas,\n            metadata.shared,\n        )\n\n    def get_codegen_implementation(self, options):\n        import triton.language.extra.cuda as cuda\n        capability = int(self._parse_arch(options.arch))\n        codegen_fns = {\n            \"convert_custom_types\":\n            cuda.convert_custom_float8_sm80 if capability >= 80 else cuda.convert_custom_float8_sm70, \"min_dot_size\":\n            min_dot_size(self.target)\n        }\n        return codegen_fns\n\n    def get_module_map(self) -> Dict[str, ModuleType]:\n        from triton.language.extra.cuda import libdevice\n        return {\"triton.language.extra.libdevice\": libdevice}\n\n    def load_dialects(self, ctx):\n        nvidia.load_dialects(ctx)\n        if CUDABackend.instrumentation:\n            CUDABackend.instrumentation.load_dialects(ctx)\n\n    @staticmethod\n    def make_ttir(mod, metadata, opt, capability):\n        pm = ir.pass_manager(mod.context)\n        pm.enable_debug()\n        passes.common.add_inliner(pm)\n        passes.ttir.add_rewrite_tensor_pointer(pm)\n        if capability // 10 < 9:\n            passes.ttir.add_rewrite_tensor_descriptor_to_pointer(pm)\n        passes.common.add_canonicalizer(pm)\n        passes.ttir.add_combine(pm)\n        passes.ttir.add_reorder_broadcast(pm)\n        passes.common.add_cse(pm)\n        passes.common.add_symbol_dce(pm)\n        passes.ttir.add_loop_unroll(pm)\n        pm.run(mod, 'make_ttir')\n        return mod\n\n    @staticmethod\n    def make_ttgir(mod, metadata, opt, capability):\n        # Set maxnreg on all kernels, if it was provided.\n        if opt.maxnreg is not None:\n            mod.set_attr(\"ttg.maxnreg\", ir.builder(mod.context).get_int32_attr(opt.maxnreg))\n\n        pm = ir.pass_manager(mod.context)\n        dump_enabled = pm.enable_debug()\n        emuTF32 = (capability // 10 >= 8)\n        passes.ttir.add_convert_to_ttgpuir(pm, f\"cuda:{capability}\", opt.num_warps, 32, opt.num_ctas)\n        # optimize TTGIR\n        passes.ttgpuir.add_coalesce(pm)\n        passes.ttgpuir.add_f32_dot_tc(pm, emuTF32)\n        # TODO(Qingyi): Move PlanCTAPass to the front of CoalescePass\n        nvidia.passes.ttnvgpuir.add_plan_cta(pm)\n        passes.ttgpuir.add_remove_layout_conversions(pm)\n        passes.ttgpuir.add_optimize_thread_locality(pm)\n        passes.ttgpuir.add_accelerate_matmul(pm)\n        passes.ttgpuir.add_remove_layout_conversions(pm)\n        passes.ttgpuir.add_optimize_dot_operands(pm, capability >= 80)\n        nvidia.passes.ttnvgpuir.add_optimize_descriptor_encoding(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        if capability // 10 in [8, 9]:\n            passes.ttgpuir.add_fuse_nested_loops(pm)\n            passes.common.add_canonicalizer(pm)\n            passes.ttir.add_triton_licm(pm)\n            passes.common.add_canonicalizer(pm)\n            passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n            nvidia.passes.hopper.add_hopper_warpspec(pm, opt.num_stages, dump_enabled)\n            passes.ttgpuir.add_assign_latencies(pm, opt.num_stages)\n            passes.ttgpuir.add_schedule_loops(pm)\n            passes.ttgpuir.add_pipeline(pm, opt.num_stages, dump_enabled)\n        elif capability // 10 >= 10:\n            passes.ttgpuir.add_fuse_nested_loops(pm)\n            passes.common.add_canonicalizer(pm)\n            passes.ttir.add_triton_licm(pm)\n            passes.ttgpuir.add_optimize_accumulator_init(pm)\n            passes.ttgpuir.add_hoist_tmem_alloc(pm, False)\n            nvidia.passes.ttnvgpuir.add_promote_lhs_to_tmem(pm)\n            passes.ttgpuir.add_assign_latencies(pm, opt.num_stages)\n            passes.ttgpuir.add_schedule_loops(pm)\n            passes.ttgpuir.add_warp_specialize(pm, opt.num_stages)\n            passes.ttgpuir.add_pipeline(pm, opt.num_stages, dump_enabled)\n            passes.ttgpuir.add_optimize_partition_warps(pm)\n            passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n            # hoist again and allow hoisting out of if statements\n            passes.ttgpuir.add_hoist_tmem_alloc(pm, True)\n            nvidia.passes.ttnvgpuir.add_remove_tmem_tokens(pm)\n        else:\n            passes.ttir.add_triton_licm(pm)\n        passes.common.add_canonicalizer(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        passes.ttgpuir.add_prefetch(pm)\n        passes.ttgpuir.add_optimize_dot_operands(pm, capability >= 80)\n        passes.ttgpuir.add_coalesce_async_copy(pm)\n        nvidia.passes.ttnvgpuir.add_optimize_tmem_layouts(pm)\n        if capability // 10 >= 9:\n            nvidia.passes.ttnvgpuir.add_tma_lowering(pm)\n        passes.ttgpuir.add_remove_layout_conversions(pm)\n        nvidia.passes.ttnvgpuir.add_interleave_tmem(pm)\n        passes.ttgpuir.add_reduce_data_duplication(pm)\n        passes.ttgpuir.add_reorder_instructions(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        passes.common.add_symbol_dce(pm)\n        nvidia.passes.ttnvgpuir.add_fence_insertion(pm, capability)\n        nvidia.passes.ttnvgpuir.add_lower_mma(pm)\n        passes.common.add_sccp(pm)\n        passes.common.add_cse(pm)\n        passes.common.add_canonicalizer(pm)\n\n        pm.run(mod, 'make_ttgir')\n        metadata[\"tensordesc_meta\"] = mod.get_tensordesc_metadata()\n        return mod\n\n    def gluon_to_ttgir(self, src, metadata, options, capability):\n        mod = src\n        pm = ir.pass_manager(mod.context)\n        pm.enable_debug()\n\n        passes.gluon.add_inliner(pm)\n        passes.gluon.add_infer_coalesced_encodings(pm)\n        passes.gluon.add_resolve_auto_encodings(pm)\n        nvidia.passes.ttnvgpuir.add_tma_lowering(pm)\n        passes.gluon.add_canonicalizer(pm)\n        passes.common.add_sccp(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        passes.gluon.add_canonicalizer(pm)\n        passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n\n        pm.run(mod, 'gluon_to_ttgir')\n        metadata[\"tensordesc_meta\"] = mod.get_tensordesc_metadata()\n        return mod\n\n    def make_llir(self, src, metadata, options, capability):\n        ptx_version = get_ptx_version_from_options(options, self.target.arch)\n\n        mod = src\n        # TritonGPU -> LLVM-IR (MLIR)\n        pm = ir.pass_manager(mod.context)\n        pm.enable_debug()\n\n        passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n        passes.ttgpuir.add_allocate_warp_groups(pm)\n        passes.convert.add_scf_to_cf(pm)\n        passes.gluon.add_inliner(pm)\n        nvidia.passes.ttgpuir.add_allocate_shared_memory_nv(pm, capability, ptx_version)\n        nvidia.passes.ttnvgpuir.add_allocate_tensor_memory(pm)\n        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\n        if \"consan\" in options.instrumentation_mode:\n            # Call ConcurrencySanitizerPass here, before allocating global scratch memory but after allocating tensor and shared\n            passes.ttgpuir.add_concurrency_sanitizer(pm)\n        passes.ttgpuir.add_allocate_global_scratch_memory(pm)\n        nvidia.passes.ttnvgpuir.add_proxy_fence_insertion(pm, capability)\n        # instrumentation point here so we can override IRs above (e.g., ttir and ttgir)\n        if CUDABackend.instrumentation:\n            CUDABackend.instrumentation.patch(\"ttgpuir_to_llvmir\", pm, mod.context)\n        nvidia.passes.ttgpuir.add_to_llvmir(pm, capability, ptx_version)\n        passes.common.add_canonicalizer(pm)\n        passes.common.add_cse(pm)\n        nvidia.passes.ttnvgpuir.add_nvgpu_to_llvm(pm)\n        nvidia.passes.ttnvgpuir.add_warp_specialize_to_llvm(pm)\n        passes.common.add_canonicalizer(pm)\n        passes.common.add_cse(pm)\n        passes.common.add_symbol_dce(pm)\n        passes.convert.add_nvvm_to_llvm(pm)\n\n        if not knobs.compilation.disable_line_info and not knobs.compilation.dump_ir_extract_di_local_variables:\n            passes.llvmir.add_di_scope(pm)\n\n        if CUDABackend.instrumentation:\n            CUDABackend.instrumentation.patch(\"llvmir_to_llvm\", pm, mod.context)\n\n        pm.run(mod, 'make_llir')\n\n        if knobs.compilation.dump_ir_extract_di_local_variables:\n            # comments below on why separate it\n            if not knobs.compilation.disable_line_info:\n                pm = ir.pass_manager(mod.context)\n                pm.enable_debug()\n                passes.llvmir.add_di_scope(pm)\n                pm.run(mod, 'make_llir.disable_line_info')\n\n            # insert dbg intrinsic with several DI Attribute including source\n            # var name and type info note: unknown reason for now, but this\n            # pass and add_di_scope has to be run separately, otherwise if we\n            # put them into previous pipline, it trigger a segmentfault without\n            # any error message; could be due to a bug in mlir or pybind11\n            pm = ir.pass_manager(mod.context)\n            pm.enable_debug()\n            passes.llvmir.add_di_local_variable(pm)\n            pm.run(mod, 'make_llir.dump_ir_extract_di_local_variables')\n\n        # LLVM-IR (MLIR) -> LLVM-IR (LLVM)\n        llvm.init_targets()\n        context = llvm.context()\n        if knobs.compilation.enable_asan:\n            raise RuntimeError(\n                \"Address Sanitizer Error: Address sanitizer is currently only supported on the AMD backend\")\n        llvm_mod = llvm.to_module(mod, context)\n        proc = sm_arch_from_capability(capability)\n        features = get_features(options, self.target.arch)\n        triple = 'nvptx64-nvidia-cuda'\n        nvidia.set_short_ptr()\n        llvm.attach_datalayout(llvm_mod, triple, proc, features)\n        if options.enable_reflect_ftz:\n            nvidia.set_nvvm_reflect_ftz(llvm_mod)\n\n        if options.extern_libs and nvidia.has_extern_deps(llvm_mod):\n            paths = [path for (name, path) in options.extern_libs]\n            llvm.link_extern_libs(llvm_mod, paths)\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e0ec1f48-68f2-430f-91da-6e040bab3e75","timestamp":"2026-10-17T23:26:13.029Z","tool_use_result":{"stdout":"        if \"enable_fp_fusion\" not in args:\n            args[\"enable_fp_fusion\"] = knobs.language.default_fp_fusion\n\n        args[\"max_num_imprecise_acc_default\"] = 2**30 if capability == 90 else 0\n\n        return CUDAOptions(**args)\n\n    def pack_metadata(self, metadata):\n        return (\n            metadata.num_warps,\n            metadata.num_ctas,\n            metadata.shared,\n        )\n\n    def get_codegen_implementation(self, options):\n        import triton.language.extra.cuda as cuda\n        capability = int(self._parse_arch(options.arch))\n        codegen_fns = {\n            \"convert_custom_types\":\n            cuda.convert_custom_float8_sm80 if capability >= 80 else cuda.convert_custom_float8_sm70, \"min_dot_size\":\n            min_dot_size(self.target)\n        }\n        return codegen_fns\n\n    def get_module_map(self) -> Dict[str, ModuleType]:\n        from triton.language.extra.cuda import libdevice\n        return {\"triton.language.extra.libdevice\": libdevice}\n\n    def load_dialects(self, ctx):\n        nvidia.load_dialects(ctx)\n        if CUDABackend.instrumentation:\n            CUDABackend.instrumentation.load_dialects(ctx)\n\n    @staticmethod\n    def make_ttir(mod, metadata, opt, capability):\n        pm = ir.pass_manager(mod.context)\n        pm.enable_debug()\n        passes.common.add_inliner(pm)\n        passes.ttir.add_rewrite_tensor_pointer(pm)\n        if capability // 10 < 9:\n            passes.ttir.add_rewrite_tensor_descriptor_to_pointer(pm)\n        passes.common.add_canonicalizer(pm)\n        passes.ttir.add_combine(pm)\n        passes.ttir.add_reorder_broadcast(pm)\n        passes.common.add_cse(pm)\n        passes.common.add_symbol_dce(pm)\n        passes.ttir.add_loop_unroll(pm)\n        pm.run(mod, 'make_ttir')\n        return mod\n\n    @staticmethod\n    def make_ttgir(mod, metadata, opt, capability):\n        # Set maxnreg on all kernels, if it was provided.\n        if opt.maxnreg is not None:\n            mod.set_attr(\"ttg.maxnreg\", ir.builder(mod.context).get_int32_attr(opt.maxnreg))\n\n        pm = ir.pass_manager(mod.context)\n        dump_enabled = pm.enable_debug()\n        emuTF32 = (capability // 10 >= 8)\n        passes.ttir.add_convert_to_ttgpuir(pm, f\"cuda:{capability}\", opt.num_warps, 32, opt.num_ctas)\n        # optimize TTGIR\n        passes.ttgpuir.add_coalesce(pm)\n        passes.ttgpuir.add_f32_dot_tc(pm, emuTF32)\n        # TODO(Qingyi): Move PlanCTAPass to the front of CoalescePass\n        nvidia.passes.ttnvgpuir.add_plan_cta(pm)\n        passes.ttgpuir.add_remove_layout_conversions(pm)\n        passes.ttgpuir.add_optimize_thread_locality(pm)\n        passes.ttgpuir.add_accelerate_matmul(pm)\n        passes.ttgpuir.add_remove_layout_conversions(pm)\n        passes.ttgpuir.add_optimize_dot_operands(pm, capability >= 80)\n        nvidia.passes.ttnvgpuir.add_optimize_descriptor_encoding(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        if capability // 10 in [8, 9]:\n            passes.ttgpuir.add_fuse_nested_loops(pm)\n            passes.common.add_canonicalizer(pm)\n            passes.ttir.add_triton_licm(pm)\n            passes.common.add_canonicalizer(pm)\n            passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n            nvidia.passes.hopper.add_hopper_warpspec(pm, opt.num_stages, dump_enabled)\n            passes.ttgpuir.add_assign_latencies(pm, opt.num_stages)\n            passes.ttgpuir.add_schedule_loops(pm)\n            passes.ttgpuir.add_pipeline(pm, opt.num_stages, dump_enabled)\n        elif capability // 10 >= 10:\n            passes.ttgpuir.add_fuse_nested_loops(pm)\n            passes.common.add_canonicalizer(pm)\n            passes.ttir.add_triton_licm(pm)\n            passes.ttgpuir.add_optimize_accumulator_init(pm)\n            passes.ttgpuir.add_hoist_tmem_alloc(pm, False)\n            nvidia.passes.ttnvgpuir.add_promote_lhs_to_tmem(pm)\n            passes.ttgpuir.add_assign_latencies(pm, opt.num_stages)\n            passes.ttgpuir.add_schedule_loops(pm)\n            passes.ttgpuir.add_warp_specialize(pm, opt.num_stages)\n            passes.ttgpuir.add_pipeline(pm, opt.num_stages, dump_enabled)\n            passes.ttgpuir.add_optimize_partition_warps(pm)\n            passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n            # hoist again and allow hoisting out of if statements\n            passes.ttgpuir.add_hoist_tmem_alloc(pm, True)\n            nvidia.passes.ttnvgpuir.add_remove_tmem_tokens(pm)\n        else:\n            passes.ttir.add_triton_licm(pm)\n        passes.common.add_canonicalizer(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        passes.ttgpuir.add_prefetch(pm)\n        passes.ttgpuir.add_optimize_dot_operands(pm, capability >= 80)\n        passes.ttgpuir.add_coalesce_async_copy(pm)\n        nvidia.passes.ttnvgpuir.add_optimize_tmem_layouts(pm)\n        if capability // 10 >= 9:\n            nvidia.passes.ttnvgpuir.add_tma_lowering(pm)\n        passes.ttgpuir.add_remove_layout_conversions(pm)\n        nvidia.passes.ttnvgpuir.add_interleave_tmem(pm)\n        passes.ttgpuir.add_reduce_data_duplication(pm)\n        passes.ttgpuir.add_reorder_instructions(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        passes.common.add_symbol_dce(pm)\n        nvidia.passes.ttnvgpuir.add_fence_insertion(pm, capability)\n        nvidia.passes.ttnvgpuir.add_lower_mma(pm)\n        passes.common.add_sccp(pm)\n        passes.common.add_cse(pm)\n        passes.common.add_canonicalizer(pm)\n\n        pm.run(mod, 'make_ttgir')\n        metadata[\"tensordesc_meta\"] = mod.get_tensordesc_metadata()\n        return mod\n\n    def gluon_to_ttgir(self, src, metadata, options, capability):\n        mod = src\n        pm = ir.pass_manager(mod.context)\n        pm.enable_debug()\n\n        passes.gluon.add_inliner(pm)\n        passes.gluon.add_infer_coalesced_encodings(pm)\n        passes.gluon.add_resolve_auto_encodings(pm)\n        nvidia.passes.ttnvgpuir.add_tma_lowering(pm)\n        passes.gluon.add_canonicalizer(pm)\n        passes.common.add_sccp(pm)\n        passes.ttir.add_loop_aware_cse(pm)\n        passes.gluon.add_canonicalizer(pm)\n        passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n\n        pm.run(mod, 'gluon_to_ttgir')\n        metadata[\"tensordesc_meta\"] = mod.get_tensordesc_metadata()\n        return mod\n\n    def make_llir(self, src, metadata, options, capability):\n        ptx_version = get_ptx_version_from_options(options, self.target.arch)\n\n        mod = src\n        # TritonGPU -> LLVM-IR (MLIR)\n        pm = ir.pass_manager(mod.context)\n        pm.enable_debug()\n\n        passes.ttgpuir.add_combine_tensor_select_and_if(pm)\n        passes.ttgpuir.add_allocate_warp_groups(pm)\n        passes.convert.add_scf_to_cf(pm)\n        passes.gluon.add_inliner(pm)\n        nvidia.passes.ttgpuir.add_allocate_shared_memory_nv(pm, capability, ptx_version)\n        nvidia.passes.ttnvgpuir.add_allocate_tensor_memory(pm)\n        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\n        if \"consan\" in options.instrumentation_mode:\n            # Call ConcurrencySanitizerPass here, before allocating global scratch memory but after allocating tensor and shared\n            passes.ttgpuir.add_concurrency_sanitizer(pm)\n        passes.ttgpuir.add_allocate_global_scratch_memory(pm)\n        nvidia.passes.ttnvgpuir.add_proxy_fence_insertion(pm, capability)\n        # instrumentation point here so we can override IRs above (e.g., ttir and ttgir)\n        if CUDABackend.instrumentation:\n            CUDABackend.instrumentation.patch(\"ttgpuir_to_llvmir\", pm, mod.context)\n        nvidia.passes.ttgpuir.add_to_llvmir(pm, capability, ptx_version)\n        passes.common.add_canonicalizer(pm)\n        passes.common.add_cse(pm)\n        nvidia.passes.ttnvgpuir.add_nvgpu_to_llvm(pm)\n        nvidia.passes.ttnvgpuir.add_warp_specialize_to_llvm(pm)\n        passes.common.add_canonicalizer(pm)\n        passes.common.add_cse(pm)\n        passes.common.add_symbol_dce(pm)\n        passes.convert.add_nvvm_to_llvm(pm)\n\n        if not knobs.compilation.disable_line_info and not knobs.compilation.dump_ir_extract_di_local_variables:\n            passes.llvmir.add_di_scope(pm)\n\n        if CUDABackend.instrumentation:\n            CUDABackend.instrumentation.patch(\"llvmir_to_llvm\", pm, mod.context)\n\n        pm.run(mod, 'make_llir')\n\n        if knobs.compilation.dump_ir_extract_di_local_variables:\n            # comments below on why separate it\n            if not knobs.compilation.disable_line_info:\n                pm = ir.pass_manager(mod.context)\n                pm.enable_debug()\n                passes.llvmir.add_di_scope(pm)\n                pm.run(mod, 'make_llir.disable_line_info')\n\n            # insert dbg intrinsic with several DI Attribute including source\n            # var name and type info note: unknown reason for now, but this\n            # pass and add_di_scope has to be run separately, otherwise if we\n            # put them into previous pipline, it trigger a segmentfault without\n            # any error message; could be due to a bug in mlir or pybind11\n            pm = ir.pass_manager(mod.context)\n            pm.enable_debug()\n            passes.llvmir.add_di_local_variable(pm)\n            pm.run(mod, 'make_llir.dump_ir_extract_di_local_variables')\n\n        # LLVM-IR (MLIR) -> LLVM-IR (LLVM)\n        llvm.init_targets()\n        context = llvm.context()\n        if knobs.compilation.enable_asan:\n            raise RuntimeError(\n                \"Address Sanitizer Error: Address sanitizer is currently only supported on the AMD backend\")\n        llvm_mod = llvm.to_module(mod, context)\n        proc = sm_arch_from_capability(capability)\n        features = get_features(options, self.target.arch)\n        triple = 'nvptx64-nvidia-cuda'\n        nvidia.set_short_ptr()\n        llvm.attach_datalayout(llvm_mod, triple, proc, features)\n        if options.enable_reflect_ftz:\n            nvidia.set_nvvm_reflect_ftz(llvm_mod)\n\n        if options.extern_libs and nvidia.has_extern_deps(llvm_mod):\n            paths = [path for (name, path) in options.extern_libs]\n            llvm.link_extern_libs(llvm_mod, paths)","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01BHDmFGbvyMFjTpAPU4Urzd","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":5,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d3e634f8-da64-437e-9c08-0153a59ca5df"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":12,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3895f705-221a-43da-a536-5a246be55487"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":16,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"43b6af79-2065-4870-a157-0a3f8000a873"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":18,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0d3870f2-1f03-418e-92aa-2f85854eadc1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":25,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0d9a5f4d-8426-479f-bbcd-df8cedf109ab"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":31,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"57204593-36a2-46dc-b131-ff94510be58d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":35,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f2df5618-c365-45b7-9918-45c4706c39b6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":39,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8a1589fc-89c9-41a7-9e5f-fb1fa8509110"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01FEDmVF54i51gpaVvbp1usP","type":"tool_result","content":"    # TODO: Handle non-\"a\" sms\n    suffix = \"a\" if capability >= 90 else \"\"\n    return f\"sm_{capability}{suffix}\"\n\n\n@dataclass(frozen=True)\nclass CUDAOptions:\n    num_warps: int = 4\n    num_ctas: int = 1\n    num_stages: int = 3\n    warp_size: int = 32\n    # maxnreg corresponds to the ptx parameter .maxnreg, which controls the\n    # maximum number of 32-bit registers used by one thread.\n    maxnreg: Optional[int] = None\n    ptx_version: int = None\n    ptx_options: Optional[str] = knobs.nvidia.ptxas_options\n    ir_override: Optional[str] = None  # filename of a user-defined IR (*.{ttir|ttgir|llir|ptx})\n    enable_fp_fusion: bool = True\n    enable_reflect_ftz: bool = True  # ftz in libdevice\n    launch_cooperative_grid: bool = False\n    launch_pdl: bool = False\n    supported_fp8_dtypes: Tuple[str] = (\"fp8e5\", \"fp8e4b15\")\n    deprecated_fp8_dot_operand_dtypes: Tuple[str] = ()\n    default_dot_input_precision: str = \"tf32\"\n    allowed_dot_input_precisions: Tuple[str] = (\"tf32\", \"tf32x3\", \"ieee\", 'bf16x3', 'bf16x6')\n    max_num_imprecise_acc_default: bool = None\n    extern_libs: dict = None\n    debug: bool = False\n    backend_name: str = 'cuda'\n    sanitize_overflow: bool = True\n    arch: str = None\n    instrumentation_mode: str = \"\"\n\n    def __post_init__(self):\n        default_libdir = Path(__file__).parent / 'lib'\n        extern_libs = {} if self.extern_libs is None else dict(self.extern_libs)\n        if not extern_libs.get('libdevice', None):\n            extern_libs['libdevice'] = knobs.nvidia.libdevice_path or str(default_libdir / 'libdevice.10.bc')\n\n        object.__setattr__(self, 'extern_libs', tuple(extern_libs.items()))\n        assert self.num_warps > 0 and (self.num_warps & (self.num_warps - 1)) == 0, \\\n               \"num_warps must be a power of 2\"\n\n    def hash(self):\n        hash_dict = dict(self.__dict__)\n        hash_dict[\"extern_libs\"] = tuple((k, file_hash(v)) for k, v in sorted(hash_dict[\"extern_libs\"]))\n        key = \"_\".join([f\"{name}-{val}\" for name, val in sorted(hash_dict.items())])\n        return hashlib.sha256(key.encode(\"utf-8\")).hexdigest()\n\n    @property\n    def enable_iisan(self):\n        return \"iisan\" in self.instrumentation_mode\n\n\nclass CUDABackend(BaseBackend):\n    instrumentation = None\n\n    @staticmethod\n    def supports_target(target: GPUTarget):\n        return target.backend == 'cuda'\n\n    def _parse_arch(self, arch):\n        pattern = r\"^sm(\\d+)$\"\n        match = re.fullmatch(pattern, arch)\n        if not match:\n            raise ValueError(f\"TRITON_OVERRIDE_ARCH must have the form {pattern}\")\n        return int(match.group(1))\n\n    def get_target_name(self, options) -> str:\n        capability = self._parse_arch(options.arch)\n        return f\"cuda:{capability}\"\n\n    def __init__(self, target: GPUTarget) -> None:\n        super().__init__(target)\n        self.binary_ext = \"cubin\"\n\n    def parse_options(self, opts) -> Any:\n        # Enable debug mode for ConSan, so device-side assertions are not optimized out\n        if any(mode in opts.get(\"instrumentation_mode\", \"\") for mode in [\"consan\", \"iisan\"]):\n            opts[\"debug\"] = True\n            opts[\"sanitize_overflow\"] = False\n\n        args = {'arch': knobs.runtime.override_arch or f\"sm{self.target.arch}\"}\n        args.update({k: opts[k] for k in CUDAOptions.__dataclass_fields__.keys() if k in opts if opts[k] is not None})\n        capability = int(self._parse_arch(args[\"arch\"]))\n\n        if args.get(\"num_ctas\", 1) > 1 and capability < 90:\n            raise ValueError((f\"num_ctas > 1 requires NVIDIA SM90+ (Hopper). \"\n                              f\"Current target is sm_{capability}. This configuration will fail. \"\n                              f\"Please set num_ctas=1 or target an SM90+ GPU.\"))\n\n        if \"supported_fp8_dtypes\" not in args:\n            supported_fp8_dtypes = set(CUDAOptions.supported_fp8_dtypes)\n            if capability >= 89:\n                supported_fp8_dtypes.add(\"fp8e4nv\")\n            args[\"supported_fp8_dtypes\"] = tuple(sorted(supported_fp8_dtypes))\n\n        if \"deprecated_fp8_dot_operand_dtypes\" not in args:\n            if capability >= 90:\n                args[\"deprecated_fp8_dot_operand_dtypes\"] = (\"fp8e4b15\", )\n\n2028:def dot(input, other, acc=None, input_precision=None, allow_tf32=None, max_num_imprecise_acc=None, out_dtype=float32,\n2029-        _semantic=None):\n2030-    \"\"\"\n2031-    Returns the matrix product of two blocks.\n2032-\n2033-    The two blocks must both be two-dimensional or three-dimensional and have compatible inner dimensions.\n2034-    For three-dimensional blocks, `tl.dot` performs the batched matrix product,\n2035-    where the first dimension of each block represents the batch dimension.\n2036-\n2037-    .. warning::\n2038-      When using TF32 precision, the float32 inputs may be truncated to TF32 format (19-bit floating point)\n2039-      without rounding which may bias the result. For best results, you must round to TF32 explicitly, or load\n2040-      the data using `TensorDescriptor` with `round_f32_to_tf32=True`.\n2041-\n2042-    :param input: The first tensor to be multiplied.\n2043-    :type input: 2D or 3D tensor of scalar-type in {:code:`int8`, :code:`float8_e5m2`, :code:`float16`, :code:`bfloat16`, :code:`float32`}\n2044-    :param other: The second tensor to be multiplied.\n2045-    :type other: 2D or 3D tensor of scalar-type in {:code:`int8`, :code:`float8_e5m2`, :code:`float16`, :code:`bfloat16`, :code:`float32`}\n2046-    :param acc: The accumulator tensor. If not None, the result is added to this tensor.\n2047-    :type acc: 2D or 3D tensor of scalar-type in {:code:`float16`, :code:`float32`, :code:`int32`}\n2048-    :param input_precision: How to exercise the Tensor Cores for f32 x f32. If\n2049-      the device does not have Tensor Cores or the inputs are not of dtype f32,\n2050-      this option is ignored. For devices that do have tensor cores, the\n2051-      default precision is tf32.\n2052-    :type input_precision: string. Available options for nvidia: :code:`\"tf32\"`, :code:`\"tf32x3\"`, :code:`\"ieee\"`. Default: :code:`\"tf32\"`. Available options for amd: :code:`\"ieee\"`, (CDNA3 only) :code:`\"tf32\"`.\n2053-    :param allow_tf32: *Deprecated.* If true, input_precision is set to \"tf32\".\n2054-      Only one of :code:`input_precision` and :code:`allow_tf32` can be\n2055-      specified (i.e. at least one must be :code:`None`).\n2056-    \"\"\"\n2057-    assert input_precision is None or allow_tf32 is None, \"Only one of input_precision and allow_tf32 can be specified\"\n2058-    if input_precision is None:\n2059-        supports_tf32 = \"tf32\" in _semantic.builder.options.allowed_dot_input_precisions\n2060-        input_precision = knobs.language.fp32_default or (\"tf32\" if (supports_tf32 and\n2061-                                                                     (allow_tf32 or allow_tf32 is None)) else \"ieee\")\n2062-\n2063-    input_precision = _unwrap_if_constexpr(input_precision)\n2064-    out_dtype = _unwrap_if_constexpr(out_dtype)\n2065-    max_num_imprecise_acc = _unwrap_if_constexpr(max_num_imprecise_acc)\n2066-    acc = _unwrap_if_constexpr(acc)\n2067-\n2068-    # check shapes make sense:\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"30b94b5a-d84f-44e9-90d5-19f0aad5e77d","timestamp":"2026-10-17T23:26:17.333Z","tool_use_result":{"stdout":"    # TODO: Handle non-\"a\" sms\n    suffix = \"a\" if capability >= 90 else \"\"\n    return f\"sm_{capability}{suffix}\"\n\n\n@dataclass(frozen=True)\nclass CUDAOptions:\n    num_warps: int = 4\n    num_ctas: int = 1\n    num_stages: int = 3\n    warp_size: int = 32\n    # maxnreg corresponds to the ptx parameter .maxnreg, which controls the\n    # maximum number of 32-bit registers used by one thread.\n    maxnreg: Optional[int] = None\n    ptx_version: int = None\n    ptx_options: Optional[str] = knobs.nvidia.ptxas_options\n    ir_override: Optional[str] = None  # filename of a user-defined IR (*.{ttir|ttgir|llir|ptx})\n    enable_fp_fusion: bool = True\n    enable_reflect_ftz: bool = True  # ftz in libdevice\n    launch_cooperative_grid: bool = False\n    launch_pdl: bool = False\n    supported_fp8_dtypes: Tuple[str] = (\"fp8e5\", \"fp8e4b15\")\n    deprecated_fp8_dot_operand_dtypes: Tuple[str] = ()\n    default_dot_input_precision: str = \"tf32\"\n    allowed_dot_input_precisions: Tuple[str] = (\"tf32\", \"tf32x3\", \"ieee\", 'bf16x3', 'bf16x6')\n    max_num_imprecise_acc_default: bool = None\n    extern_libs: dict = None\n    debug: bool = False\n    backend_name: str = 'cuda'\n    sanitize_overflow: bool = True\n    arch: str = None\n    instrumentation_mode: str = \"\"\n\n    def __post_init__(self):\n        default_libdir = Path(__file__).parent / 'lib'\n        extern_libs = {} if self.extern_libs is None else dict(self.extern_libs)\n        if not extern_libs.get('libdevice', None):\n            extern_libs['libdevice'] = knobs.nvidia.libdevice_path or str(default_libdir / 'libdevice.10.bc')\n\n        object.__setattr__(self, 'extern_libs', tuple(extern_libs.items()))\n        assert self.num_warps > 0 and (self.num_warps & (self.num_warps - 1)) == 0, \\\n               \"num_warps must be a power of 2\"\n\n    def hash(self):\n        hash_dict = dict(self.__dict__)\n        hash_dict[\"extern_libs\"] = tuple((k, file_hash(v)) for k, v in sorted(hash_dict[\"extern_libs\"]))\n        key = \"_\".join([f\"{name}-{val}\" for name, val in sorted(hash_dict.items())])\n        return hashlib.sha256(key.encode(\"utf-8\")).hexdigest()\n\n    @property\n    def enable_iisan(self):\n        return \"iisan\" in self.instrumentation_mode\n\n\nclass CUDABackend(BaseBackend):\n    instrumentation = None\n\n    @staticmethod\n    def supports_target(target: GPUTarget):\n        return target.backend == 'cuda'\n\n    def _parse_arch(self, arch):\n        pattern = r\"^sm(\\d+)$\"\n        match = re.fullmatch(pattern, arch)\n        if not match:\n            raise ValueError(f\"TRITON_OVERRIDE_ARCH must have the form {pattern}\")\n        return int(match.group(1))\n\n    def get_target_name(self, options) -> str:\n        capability = self._parse_arch(options.arch)\n        return f\"cuda:{capability}\"\n\n    def __init__(self, target: GPUTarget) -> None:\n        super().__init__(target)\n        self.binary_ext = \"cubin\"\n\n    def parse_options(self, opts) -> Any:\n        # Enable debug mode for ConSan, so device-side assertions are not optimized out\n        if any(mode in opts.get(\"instrumentation_mode\", \"\") for mode in [\"consan\", \"iisan\"]):\n            opts[\"debug\"] = True\n            opts[\"sanitize_overflow\"] = False\n\n        args = {'arch': knobs.runtime.override_arch or f\"sm{self.target.arch}\"}\n        args.update({k: opts[k] for k in CUDAOptions.__dataclass_fields__.keys() if k in opts if opts[k] is not None})\n        capability = int(self._parse_arch(args[\"arch\"]))\n\n        if args.get(\"num_ctas\", 1) > 1 and capability < 90:\n            raise ValueError((f\"num_ctas > 1 requires NVIDIA SM90+ (Hopper). \"\n                              f\"Current target is sm_{capability}. This configuration will fail. \"\n                              f\"Please set num_ctas=1 or target an SM90+ GPU.\"))\n\n        if \"supported_fp8_dtypes\" not in args:\n            supported_fp8_dtypes = set(CUDAOptions.supported_fp8_dtypes)\n            if capability >= 89:\n                supported_fp8_dtypes.add(\"fp8e4nv\")\n            args[\"supported_fp8_dtypes\"] = tuple(sorted(supported_fp8_dtypes))\n\n        if \"deprecated_fp8_dot_operand_dtypes\" not in args:\n            if capability >= 90:\n                args[\"deprecated_fp8_dot_operand_dtypes\"] = (\"fp8e4b15\", )\n\n2028:def dot(input, other, acc=None, input_precision=None, allow_tf32=None, max_num_imprecise_acc=None, out_dtype=float32,\n2029-        _semantic=None):\n2030-    \"\"\"\n2031-    Returns the matrix product of two blocks.\n2032-\n2033-    The two blocks must both be two-dimensional or three-dimensional and have compatible inner dimensions.\n2034-    For three-dimensional blocks, `tl.dot` performs the batched matrix product,\n2035-    where the first dimension of each block represents the batch dimension.\n2036-\n2037-    .. warning::\n2038-      When using TF32 precision, the float32 inputs may be truncated to TF32 format (19-bit floating point)\n2039-      without rounding which may bias the result. For best results, you must round to TF32 explicitly, or load\n2040-      the data using `TensorDescriptor` with `round_f32_to_tf32=True`.\n2041-\n2042-    :param input: The first tensor to be multiplied.\n2043-    :type input: 2D or 3D tensor of scalar-type in {:code:`int8`, :code:`float8_e5m2`, :code:`float16`, :code:`bfloat16`, :code:`float32`}\n2044-    :param other: The second tensor to be multiplied.\n2045-    :type other: 2D or 3D tensor of scalar-type in {:code:`int8`, :code:`float8_e5m2`, :code:`float16`, :code:`bfloat16`, :code:`float32`}\n2046-    :param acc: The accumulator tensor. If not None, the result is added to this tensor.\n2047-    :type acc: 2D or 3D tensor of scalar-type in {:code:`float16`, :code:`float32`, :code:`int32`}\n2048-    :param input_precision: How to exercise the Tensor Cores for f32 x f32. If\n2049-      the device does not have Tensor Cores or the inputs are not of dtype f32,\n2050-      this option is ignored. For devices that do have tensor cores, the\n2051-      default precision is tf32.\n2052-    :type input_precision: string. Available options for nvidia: :code:`\"tf32\"`, :code:`\"tf32x3\"`, :code:`\"ieee\"`. Default: :code:`\"tf32\"`. Available options for amd: :code:`\"ieee\"`, (CDNA3 only) :code:`\"tf32\"`.\n2053-    :param allow_tf32: *Deprecated.* If true, input_precision is set to \"tf32\".\n2054-      Only one of :code:`input_precision` and :code:`allow_tf32` can be\n2055-      specified (i.e. at least one must be :code:`None`).\n2056-    \"\"\"\n2057-    assert input_precision is None or allow_tf32 is None, \"Only one of input_precision and allow_tf32 can be specified\"\n2058-    if input_precision is None:\n2059-        supports_tf32 = \"tf32\" in _semantic.builder.options.allowed_dot_input_precisions\n2060-        input_precision = knobs.language.fp32_default or (\"tf32\" if (supports_tf32 and\n2061-                                                                     (allow_tf32 or allow_tf32 is None)) else \"ieee\")\n2062-\n2063-    input_precision = _unwrap_if_constexpr(input_precision)\n2064-    out_dtype = _unwrap_if_constexpr(out_dtype)\n2065-    max_num_imprecise_acc = _unwrap_if_constexpr(max_num_imprecise_acc)\n2066-    acc = _unwrap_if_constexpr(acc)\n2067-\n2068-    # check shapes make sense:","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01FEDmVF54i51gpaVvbp1usP","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g4c1RKJSP7MTutEk3R","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'll give the user a quick update, then start drafting a baseline kernel modeled on the Triton Blackwell tutorial—warp-specialized with TMA descriptors, split-KV, and a combine kernel. I'm thinking through the grid layout, ordering CTAs for good L2 reuse across query tiles, splits, and batch/head-kv dimensions.\n\nI'm also working out how to pack query tiles: since the two heads per kv-group are adjacent in memory for a given query, I can view the query tensor so that a 64-query tile spanning both heads forms a contiguous 512-element block, then figure out how to reshape that into a 128×256 tile after a TMA load.\n\nSince a 3D reshape in smem might not be free, I'm leaning toward simple pointer-based loads for Q since it's only loaded once per CTA, computing the flat offset per row from the query index and head directly.\n\nFor K and V, I'm working out a TMA descriptor viewing them as 2D arrays with box dimensions [BN, 256] indexed by batch*seq and head, checking that 256 elements per box dimension fits within TMA's size limits.\n\nWith swizzle width concerns, the inner box dimension might need splitting into multiple TMA copies, but I'll just try the straightforward 2D descriptor and see if it compiles. I also need to handle the case where a tile spans past the Sk boundary when B > 1 and rows are flattened.\n\nOverrun reads into the next batch's keys get masked out by the causal mask since those columns fall beyond Sk, and the corresponding V contributions multiply by zero probability anyway, so garbage V values resolve to zero as long as they're finite — which they should be since all tensor data consists of valid bf16 inputs.\n\nFor invalid query rows beyond Sq in the final partial tile, I just skip storing them rather than masking. I'm computing scores as Q·K^T scaled, using exp2 with a combined scale factor, and only applying the causal mask to the KV blocks near the diagonal while leaving earlier blocks unmasked. For split-KV, each split handles a sub-range of KV blocks intersected with the valid causal range, so tiles beyond that boundary get proportionally fewer blocks.\n\nI should write each split's output normalized (dividing the accumulator by its row-sum) along with a log-sum-exp value, then combine splits by reweighting with the max log-sum-exp across splits. Estimating the partial-write traffic, writing fp32 partials costs roughly 128KB per tile per split, and with ~160 CTAs total that's around 20MB written and read—only a few microseconds at HBM speeds, which is negligible next to the 380us baseline. I'm weighing whether bf16 partials would be accurate enough instead of fp32.\n\nChecking the bf16 rounding error against the 1%+2% RMS tolerance, it would likely pass, but fp32 is safer and the extra cost is small, so I'll stick with fp32. Now I'm working through the split-count heuristic and SMEM budget per CTA—computing Q/K/V tile sizes in bytes and realizing double-buffered K and V tiles alongside Q may exceed the 228KB SMEM limit per SM, which would force reducing buffering or tile size.\n\nV_{j+1} load overlaps with QK and softmax of the next iteration, so bandwidth-wise it seems feasible, but Triton's pipeliner actually needs num_stages ≥ 2 to overlap loads at all under its standard buffering scheme. I'm now thinking through the 2-CTA FA4 hd256 case and what each CTA holds for Q.\n\nWorking through the smem bandwidth math for 1-CTA with BN=64, I find QK^T is actually bandwidth-bound rather than compute-bound at that tile size, needing roughly 1.5x longer than tensor-core peak, so BN=64 looks like a poor choice there, and I'm now checking whether PV suffers the same issue.\n\nTallying total smem traffic per iteration, BN=64 comes out around 192KB versus 1024 MMA-cycles, landing at roughly 68% of peak — likely optimistic compared to real performance — so I'm now comparing against BN=128 with single-stage buffering, where traffic rises to about 320KB over 2048 cycles.\n\nThe real bottleneck is that Q gets re-read from smem on every K tile; keeping Q resident in TMEM would save 64KB per iteration, but TMEM's 512-column budget is tight once O, Q, and S all need space, with P aliasing S's columns like FA4 does. I'm now wondering whether Triton's LHS-to-TMEM promotion pass could apply here, since Q loaded via tl.load into registers becomes the dot's LHS.\n\nI should just compile a test case and inspect the TTGIR to see if the promotion actually happens, since I can't check the pass conditions from source directly. An alternative is to transpose the computation entirely — compute S^T as K times Q^T instead, which changes which operand comes from smem and could shift how O^T gets computed from V^T and P.\n\nActually, I'm overthinking optimization before having a working baseline. I should write a first version modeled on the Triton Blackwell attention tutorial's fused attention kernel structure and measure it before micro-optimizing memory placement. Let me start drafting that kernel based on the tutorial's inner loop function signature.\n\nStill writing kernel logic...\n\nAdding the masking logic for causal attention and computing the softmax correction factor with the running max update.\n\nLoading v with dtype-dependent transposition, then computing the dot product with p to update acc, followed by updating l_i and m_i before advancing the offsets for the next iteration. Now I'm setting up the autotune configuration decorator for the kernel.\n\nWriting kernel setup code...\n\nStill writing kernel code... I'm also recalling that Blackwell configs typically use BLOCK_M/BLOCK_N of 128 for head dim 128, and noting the trick of applying the scale after the max to save multiplications, plus roughly 1.1-1.3 PFLOPS performance on B200 from the tutorial's warp-specialized path.\n\nFor hd256, I'm reasoning about how acc rescaling at 128×256 fp32 would spill registers with only 4 warps available, since the TMEM load into registers would require 256 regs per thread.\n\nSplitting into 4 chunks of 64 columns should let the compiler handle each piece separately at 64 regs/thread, which seems more manageable. I'll write v1 with these features and build a test harness to verify correctness across several shapes and measure timing. I also need to be careful about `make_tensor_descriptor` requiring `set_allocator` — calling it at module level with a plain function should be fine, though I should double check that the allocator doesn't interfere with CUDA graph capture or timing since it's invoked at launch time.\n\nThe allocator needs to provide device-side scratch space for the TMA descriptors, which is just a cheap `torch.empty` call per launch. Since importing `triton.tools` for a host-side descriptor isn't allowed, I'll stick with the device-side `make_tensor_descriptor` approach, viewing K as a flattened 2D tensor and indexing blocks by batch and KV-head offsets.\n\nFor batches where Sk isn't divisible by BN, the last block might straddle into the next batch's data in the flattened view, but the causal mask already excludes those out-of-range columns, so it's safe. A 3D descriptor would zero-fill automatically, but the 2D version is simpler and the masking handles it either way.\n\nI'm working out the indexing for packing query tiles: each row maps to a query index and head-group pair via pointer arithmetic with bounds masking, and I'm comparing this against an alternative where I view Q as a flattened 2D array per KV-head group and reshape the loaded tile to interleave the two heads correctly.\n\nFor causal masking, I'm figuring out which key columns are valid for each query row, splitting the KV range into a fully-unmasked block region and a smaller boundary region that needs per-element masking, then extending this to handle split-KV scheduling across the total range.\n\nTo keep warp specialization intact, I'll mirror the tutorial's approach of using two separate loop passes rather than a conditional inside one loop—one pass over fully unmasked blocks and a second over the masked boundary blocks, with splits assigning blocks accordingly.\n\nEach split covers a fixed-size chunk of the KV range, with shorter tiles just getting a truncated or empty last split (handled by writing -inf lse for empty splits so the combine step can skip them properly). For the combine kernel, each program reads the per-split lse values for a row, computes the max and softmax-style weights across splits, then accumulates the weighted partial outputs to produce the final result.\n\nI'm comparing different split counts to find the sweet spot between wave utilization and per-CTA work: S=4 gives 0.25 relative time, S=9 gives 0.222, S=13 gives 0.231, S=37 hits exactly 8 waves evenly, so I'm looking for values that minimize wasted tail-wave capacity while keeping per-CTA time low.\n\nA more robust fix is a stream-K style persistent kernel: distribute all 32768 KV blocks across the 148 CTAs evenly (~221 blocks each), letting each CTA's assigned range span across tile boundaries when needed, then combine partial results per tile afterward by identifying which CTAs contributed to each tile.\n\nSince causal masking makes each tile's block count vary, I need the per-tile block counts computed via a closed-form formula based on query/key offsets, and I should order the linearization tile-major so blocks from the same KV range across q-tiles of a kv-head can execute concurrently for better L2 cache reuse.\n\n134MB per KV head doesn't fit in the 126MB L2, and total KV across all heads is 1.07GB, so reuse isn't automatic. But if the grid launches CTAs for different q-tiles of the same KV head together, they run roughly in lockstep and hit the same KV blocks at similar times, giving partial L2 reuse — which suggests a better stream-K ordering would group work by (KV head, KV block range) processed across all q-tiles together.\n\nThinking through the grouping math: with 148 CTAs and 4 q-tiles per head (Sq=256), I get 37 groups covering 8192 head-blocks, each handling ~221 blocks; for Sq=512 with 8 q-tiles per head, 18 groups of 8 CTAs gives 97% utilization with ~455 blocks per group.\n\nFor B=2, Sq=256, Sk=64K, with 16 (batch, head) pairs totaling 8192 head-blocks, the same 37-group structure gives balanced ~221 blocks per group with good L2 locality. This generalizes nicely: the number of q-tiles per (batch, kv-head) is simply ceil(Sq/64) given the packing of 128 rows into 64 queries.\n\nWhen this exceeds the number of SMs (148), I need to fall back to a different grid structure since perfect balancing breaks down — correctness still holds, just without ideal load balance. I also need to account for causal masking complicating things: each q-tile has a different KV extent since tile k covers queries [64k, 64k+64) with its own causal KV boundary, so when assigning block ranges to a group spanning multiple heads, I need to compute the exact clipped range per head rather than treating blocks as uniform.\n\nGiven this, each group typically spans at most 2 heads with small Sk values like 4096, so I can bound the number of partial writes per CTA to a small constant, which keeps the output buffer management manageable.\n\nThe integer division makes inversion messy, so I'm thinking a simpler robust approach is to index partials by group and slot, assigning each head a fixed number of slots per group and marking invalid ones with a sentinel -inf value so the combine step can skip them safely.\n\nI get a formula, g(x) = ((x+1)*groups - 1) // W, for finding which group a block index belongs to. But then I reconsider whether this stream-K style balancing is overkill — trying regular equal splits instead, like 37 groups split across 8 heads, but that doesn't divide evenly, causing imbalance. Stream-K handles that imbalance naturally, so I decide to stick with it rather than looking for a simpler alternative.\n\nThinking about CTA occupancy, with BM=128 I get one CTA per SM, so a persistent grid sized around 148 CTAs (or G × groups ≤ 148) makes sense. I also consider fusing the combine step into the last CTA to finish a tile via atomics or semaphores to save a kernel launch, but decide that's a later optimization. For now I want to get a first version working and set up a dev harness script that imports a solution module, checks correctness against the four timed shapes plus some edge cases, and times performance with L2 cache flushing.\n\nWriting Triton kernel code...\n\nI need to be careful about fully masked rows in the causal masking logic -- if a row has all -inf scores within a block due to being beyond its causal limit, I need to make sure the running max stays finite when carried from previous blocks.\n\nI'm also checking whether numerical overflow could occur in q·k products for large input magnitudes, but fp32 accumulation should keep sums well within range for typical value scales.\n\nWriting the unmasked softmax update logic...\n\nI'm checking the initial -inf state resolves safely, then moving to the masked loop where I apply the mask to scores before computing the new max and handling the edge case where all elements in a row might be masked.\n\nFor the final output I work out that a row with no valid keys in the split gives zero output and -infinity log-sum-exp, otherwise storing o and lse in fp32. For combining partial results across splits, I compute the max lse, weight each partial output by its relative exponential contribution, and normalize by the summed weights, relying on the fact that every row has at least one valid key overall since the first key position is always included.\n\nNow I'm thinking through the stream-K style work partitioning: defining the number of query tiles per batch-head, the total head-block count as an upper bound on work, and how to split that across available SMs into groups, accounting for the causal limit applied per thread block and the case where total work is small relative to SM count.\n\nIf the clipped block range is empty, I'll still write a partial slot with lse=-inf and o=0 so the combine step stays simple and doesn't need to special-case missing entries. For indexing partial slots per head, I'm working out the offset j relative to the head's first group and bounding the max number of slots (JMAX) so I can size buffers safely on the host.\n\nI'm weighing whether computing the exact per-head bound in a Python loop is cheap enough, but then I realize the real concern is CPU-side overhead before the first kernel launch — since the timing event is recorded before any host computation, that setup time adds directly to the measured kernel duration rather than overlapping with GPU work.\n\nI'm refining the JMAX bound to avoid reading garbage in partial buffer slots, then considering a simpler combine approach that iterates directly over groups between g_first and g_last and indexes partials by slot-in-group rather than a loop counter.\n\nI'm now sketching the combine kernel's grid structure (programs over heads, q-tiles, and row-chunks), each handling a block of rows and columns while accumulating over j slots, accounting for partially filled last q-tiles when Sq isn't a multiple of the tile size.\n\nWith that mapped out, I'll move to writing the main kernel and test harness — loading Q tiles with masking for out-of-range rows, keeping Q loop-invariant in shared or tensor memory within the warp-specialized loop, then compiling and timing it.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g4c1RKJSP7MTutEk3R","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Setup confirms a B300 with 148 SMs, Triton 3.7.1, and 126 MB L2, with the expert kernel hitting ~1.5 PFLOPS (60-65% of tensor-core peak) as the benchmark to beat. For v1, I'll build a warp-specialized TMA tile of 128 packed rows (64 queries × 2 shared-KV heads), group CTAs to align KV reads in L2, and finish with a combine kernel to merge partial split results.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3442,"cache_read_input_tokens":52378,"cache_creation":{"ephemeral_5m_input_tokens":3442,"ephemeral_1h_input_tokens":0},"output_tokens":5,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"300c2591-2252-4983-a614-08cca6b12abe","timestamp":"2026-10-17T23:28:44.712Z","request_id":"req_011Cg8g4bg5ZB561ApkFuxdd","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g4c1RKJSP7MTutEk3R","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01YCvXHRcUNZHtX2BBoBdUNe","name":"Bash","input":{"command":"mkdir -p /workspace/dev && cat > /workspace/dev/bench.py << 'EOF'\n\"\"\"Dev harness: correctness on timed + edge shapes, timing with L2 flush.  python dev/bench.py path.py [--quick] [--notime]\"\"\"\nimport importlib.util, sys, math, time\nimport torch\nsys.path.insert(0, '/workspace')\nimport task as T\n\ndef load(path, name='sol'):\n    spec = importlib.util.spec_from_file_location(name, path)\n    mod = importlib.util.module_from_spec(spec)\n    spec.loader.exec_module(mod)\n    return mod\n\nEXPERT = {(1,256,131072): 379, (1,512,65536): 356, (1,512,131072): 692, (2,256,65536): 381}\n\ndef time_fn(fn, args, n=20):\n    flush = torch.empty(512 * 1024 * 1024 // 4, dtype=torch.int32, device='cuda')\n    for _ in range(2):\n        fn(*args)\n    torch.cuda.synchronize()\n    ts = []\n    for _ in range(n):\n        flush.zero_()\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record(); fn(*args); e.record()\n        torch.cuda.synchronize()\n        ts.append(s.elapsed_time(e) * 1000.0)\n    ts.sort()\n    return ts[n // 2]\n\ndef check_shape(mod, shape, dist='normal', seed=1):\n    case = T.make_case(shape, seed, 'cuda', dist)\n    args = case.args\n    if dist == 'outlier':\n        q, k, v, out = args\n        g = torch.Generator(device='cuda'); g.manual_seed(5)\n        m = torch.rand(v.shape, generator=g, device='cuda') < 0.001\n        v[m] *= 80\n        m = torch.rand(k.shape, generator=g, device='cuda') < 0.001\n        k[m] *= 80\n    exp = T.reference([a.clone() if torch.is_tensor(a) else a for a in args])\n    args[3].fill_(float('nan'))\n    mod.kernel_fn(*args)\n    torch.cuda.synchronize()\n    ok, stats = T.check({3: args[3]}, exp)\n    return ok, stats\n\ndef main():\n    path = sys.argv[1]\n    quick = '--quick' in sys.argv\n    notime = '--notime' in sys.argv\n    mod = load(path)\n    shapes = [dict(B=1,Sq=256,Sk=131072), dict(B=1,Sq=512,Sk=65536), dict(B=1,Sq=512,Sk=131072), dict(B=2,Sq=256,Sk=65536)]\n    edge = [dict(B=1,Sq=1,Sk=1), dict(B=1,Sq=7,Sk=13), dict(B=2,Sq=65,Sk=300), dict(B=3,Sq=100,Sk=1000), dict(B=1,Sq=129,Sk=129),\n            dict(B=1,Sq=1,Sk=5000), dict(B=2,Sq=333,Sk=4097), dict(B=1,Sq=1024,Sk=32768), dict(B=1,Sq=200,Sk=200), dict(B=4,Sq=16,Sk=20000)]\n    allok = True\n    t0 = time.time()\n    for sh in (shapes if quick else shapes + edge):\n        ok, st = check_shape(mod, sh)\n        allok &= ok\n        if not ok or not quick:\n            print('check', sh, 'OK' if ok else f'WRONG {st}', flush=True)\n    if not quick:\n        for sh in [dict(B=1,Sq=300,Sk=5000), dict(B=1,Sq=256,Sk=131072)]:\n            ok, st = check_shape(mod, sh, 'outlier')\n            allok &= ok\n            print('outlier', sh, 'OK' if ok else f'WRONG {st}', flush=True)\n    print('ALL CORRECT' if allok else 'SOME WRONG', f'({time.time()-t0:.1f}s)', flush=True)\n    if notime:\n        return\n    ratios = []\n    for sh in shapes:\n        case = T.make_case(sh, 1, 'cuda')\n        t = time_fn(mod.kernel_fn, case.args)\n        ex = EXPERT[(sh['B'], sh['Sq'], sh['Sk'])]\n        ratios.append(ex / t)\n        flops = 4 * sh['B'] * 16 * sh['Sq'] * sh['Sk'] * 256\n        print(f\"{sh}: {t:.1f} us  expert {ex}  speedup {ex/t:.3f}  {flops/t/1e6:.0f} TFLOPS\", flush=True)\n    print(f'GEOMEAN vs expert: {math.exp(sum(map(math.log, ratios))/len(ratios)):.3f}')\n\nif __name__ == '__main__':\n    main()\nEOF\necho ok","description":"Write dev benchmark/correctness harness"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3442,"cache_read_input_tokens":52378,"cache_creation":{"ephemeral_5m_input_tokens":3442,"ephemeral_1h_input_tokens":0},"output_tokens":5,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"203bc3e2-c510-4eb7-9d5e-20538acd3bbb","timestamp":"2026-10-17T23:28:55.928Z","request_id":"req_011Cg8g4bg5ZB561ApkFuxdd"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01YCvXHRcUNZHtX2BBoBdUNe","type":"tool_result","content":"ok","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"89f90171-c131-431b-9c78-2ae310778bbc","timestamp":"2026-10-17T23:28:55.965Z","tool_use_result":{"stdout":"ok","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01YCvXHRcUNZHtX2BBoBdUNe","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gGJDS6kAv2Y7xYb3mR","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Time to start writing the first version of the kernel.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":17661,"cache_read_input_tokens":55820,"cache_creation":{"ephemeral_5m_input_tokens":17661,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"10469282-d021-4fba-9c16-a4796cfa1a66","timestamp":"2026-10-17T23:29:01.041Z","request_id":"req_011Cg8gGHtLBcGhTzAZp1UAH","thinking_duration_ms":735,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gGJDS6kAv2Y7xYb3mR","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01TdeEGiRJh97JMwwkK36nTj","name":"Write","input":{"file_path":"/workspace/dev/v1.py","content":"import math\nimport torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\nNUM_SMS = 148\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\n\n@triton.jit\ndef _attn_loop(acc, l_i, m_i, q, k_desc, v_desc, krow, kcol, lo, hi, qk_scale, qpos,\n               BN: tl.constexpr, MASKED: tl.constexpr, WS: tl.constexpr):\n    offs_n = tl.arange(0, BN)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        k = k_desc.load([krow + n0, kcol])\n        s = tl.dot(q, k.T)\n        if MASKED:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s * qk_scale, -float('inf'))\n            m_new = tl.maximum(m_i, tl.max(s, 1))\n            m_use = tl.where(m_new == -float('inf'), 0.0, m_new)\n            p = tl.math.exp2(s - m_use[:, None])\n            alpha = tl.math.exp2(m_i - m_use)\n        else:\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            p = tl.math.exp2(s * qk_scale - m_new[:, None])\n            alpha = tl.math.exp2(m_i - m_new)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([krow + n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    return acc, l_i, m_i\n\n\n@triton.jit\ndef _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, groups, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    kt = tl.program_id(0)          # query tile within (b, kv head)\n    g = tl.program_id(1)           # KV group\n    w0 = (g * W) // groups\n    w1 = ((g + 1) * W) // groups\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qi = kt * BMQ + rows // G\n    qmask = qi < Sq\n    shift = Sk - Sq\n    qpos = qi + shift\n    q_last = tl.minimum(kt * BMQ + BMQ, Sq) - 1\n    kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n    full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * 0 + NB * 0 + W * 0 + Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D]) if False else None\n    p_lo = w0 // NB\n    p_hi = (w1 - 1) // NB\n    for p in range(p_lo, p_hi + 1):\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        m_i = tl.full((BM,), -float('inf'), tl.float32)\n        l_i = tl.zeros((BM,), tl.float32)\n        acc = tl.zeros((BM, D), tl.float32)\n        mid = tl.maximum(tl.minimum(full_end, hi), lo)\n        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, lo, mid, qk_scale, qpos, BN, False, WS)\n        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, mid, hi, qk_scale, qpos, BN, True, WS)\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_i + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o)\n        tl.store(LP + slot * BM + rows, lse)\n\n\n@triton.jit\ndef _combine(OP, LP, O, Sq, QT, NB, W, groups, JMAX,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, R: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    pid = tl.program_id(0)\n    chunk = pid % (BM // R)\n    t = pid // (BM // R)\n    kt = t % QT\n    p = t // QT\n    b = p // HKV\n    hk = p % HKV\n    gf = ((p * NB + 1) * groups - 1) // W\n    gl = (((p + 1) * NB) * groups - 1) // W\n    rows = chunk * R + tl.arange(0, R)\n    rd = tl.arange(0, D)\n    m = tl.full((R,), -float('inf'), tl.float32)\n    for j in range(0, gl - gf + 1):\n        slot = ((p * QT + kt) * JMAX + j).to(tl.int64)\n        m = tl.maximum(m, tl.load(LP + slot * BM + rows))\n    acc = tl.zeros((R, D), tl.float32)\n    den = tl.zeros((R,), tl.float32)\n    for j in range(0, gl - gf + 1):\n        slot = ((p * QT + kt) * JMAX + j).to(tl.int64)\n        w = tl.math.exp2(tl.load(LP + slot * BM + rows) - m)\n        den += w\n        acc += w[:, None] * tl.load(OP + (slot * BM + rows[:, None]) * D + rd[None, :])\n    o = acc / den[:, None]\n    qi = kt * BMQ + rows // G\n    o_ptr = O + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n    tl.store(o_ptr, o.to(tl.bfloat16), mask=(qi < Sq)[:, None])\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN = 128, 128\n    BMQ = BM // (HQ // HKV)\n    QT = triton.cdiv(Sq, BMQ)\n    NB = triton.cdiv(Sk, BN)\n    P = B * HKV\n    W = P * NB\n    groups = max(1, min(NUM_SMS // QT, W // 2))\n    JMAX = triton.cdiv(NB, W // groups) + 1\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=4, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, W, groups, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R,\n                                    num_warps=4)\n"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":17661,"cache_read_input_tokens":55820,"cache_creation":{"ephemeral_5m_input_tokens":17661,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"9e3f9ab4-3bce-4788-a879-25c025e126b4","timestamp":"2026-10-17T23:29:23.299Z","request_id":"req_011Cg8gGHtLBcGhTzAZp1UAH"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01TdeEGiRJh97JMwwkK36nTj","type":"tool_result","content":"File created successfully at: /workspace/dev/v1.py (file state is current in your context — no need to Read it back)"}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a88b7469-9c6c-4b5d-8bdc-83223ff71920","timestamp":"2026-10-17T23:29:23.324Z","tool_use_result":{"type":"create","filePath":"/workspace/dev/v1.py","content":"import math\nimport torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\nNUM_SMS = 148\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\n\n@triton.jit\ndef _attn_loop(acc, l_i, m_i, q, k_desc, v_desc, krow, kcol, lo, hi, qk_scale, qpos,\n               BN: tl.constexpr, MASKED: tl.constexpr, WS: tl.constexpr):\n    offs_n = tl.arange(0, BN)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        k = k_desc.load([krow + n0, kcol])\n        s = tl.dot(q, k.T)\n        if MASKED:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s * qk_scale, -float('inf'))\n            m_new = tl.maximum(m_i, tl.max(s, 1))\n            m_use = tl.where(m_new == -float('inf'), 0.0, m_new)\n            p = tl.math.exp2(s - m_use[:, None])\n            alpha = tl.math.exp2(m_i - m_use)\n        else:\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            p = tl.math.exp2(s * qk_scale - m_new[:, None])\n            alpha = tl.math.exp2(m_i - m_new)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([krow + n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    return acc, l_i, m_i\n\n\n@triton.jit\ndef _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, groups, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    kt = tl.program_id(0)          # query tile within (b, kv head)\n    g = tl.program_id(1)           # KV group\n    w0 = (g * W) // groups\n    w1 = ((g + 1) * W) // groups\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qi = kt * BMQ + rows // G\n    qmask = qi < Sq\n    shift = Sk - Sq\n    qpos = qi + shift\n    q_last = tl.minimum(kt * BMQ + BMQ, Sq) - 1\n    kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n    full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * 0 + NB * 0 + W * 0 + Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D]) if False else None\n    p_lo = w0 // NB\n    p_hi = (w1 - 1) // NB\n    for p in range(p_lo, p_hi + 1):\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        m_i = tl.full((BM,), -float('inf'), tl.float32)\n        l_i = tl.zeros((BM,), tl.float32)\n        acc = tl.zeros((BM, D), tl.float32)\n        mid = tl.maximum(tl.minimum(full_end, hi), lo)\n        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, lo, mid, qk_scale, qpos, BN, False, WS)\n        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, mid, hi, qk_scale, qpos, BN, True, WS)\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_i + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o)\n        tl.store(LP + slot * BM + rows, lse)\n\n\n@triton.jit\ndef _combine(OP, LP, O, Sq, QT, NB, W, groups, JMAX,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, R: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    pid = tl.program_id(0)\n    chunk = pid % (BM // R)\n    t = pid // (BM // R)\n    kt = t % QT\n    p = t // QT\n    b = p // HKV\n    hk = p % HKV\n    gf = ((p * NB + 1) * groups - 1) // W\n    gl = (((p + 1) * NB) * groups - 1) // W\n    rows = chunk * R + tl.arange(0, R)\n    rd = tl.arange(0, D)\n    m = tl.full((R,), -float('inf'), tl.float32)\n    for j in range(0, gl - gf + 1):\n        slot = ((p * QT + kt) * JMAX + j).to(tl.int64)\n        m = tl.maximum(m, tl.load(LP + slot * BM + rows))\n    acc = tl.zeros((R, D), tl.float32)\n    den = tl.zeros((R,), tl.float32)\n    for j in range(0, gl - gf + 1):\n        slot = ((p * QT + kt) * JMAX + j).to(tl.int64)\n        w = tl.math.exp2(tl.load(LP + slot * BM + rows) - m)\n        den += w\n        acc += w[:, None] * tl.load(OP + (slot * BM + rows[:, None]) * D + rd[None, :])\n    o = acc / den[:, None]\n    qi = kt * BMQ + rows // G\n    o_ptr = O + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n    tl.store(o_ptr, o.to(tl.bfloat16), mask=(qi < Sq)[:, None])\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN = 128, 128\n    BMQ = BM // (HQ // HKV)\n    QT = triton.cdiv(Sq, BMQ)\n    NB = triton.cdiv(Sk, BN)\n    P = B * HKV\n    W = P * NB\n    groups = max(1, min(NUM_SMS // QT, W // 2))\n    JMAX = triton.cdiv(NB, W // groups) + 1\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=4, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, W, groups, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R,\n                                    num_warps=4)\n","structuredPatch":[],"originalFile":null,"userModified":false},"tool_result_meta":[{"id":"toolu_01TdeEGiRJh97JMwwkK36nTj","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gJKC27VByWo7C83oH9","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I noticed a leftover dead code line I need to clean up before moving on.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3463,"cache_read_input_tokens":73481,"cache_creation":{"ephemeral_5m_input_tokens":3463,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e0631ab0-4cb0-4769-b1fa-65ce14b81566","timestamp":"2026-10-17T23:29:26.578Z","request_id":"req_011Cg8gJJqgoYFmNHQXriS4X","thinking_duration_ms":1196,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gJKC27VByWo7C83oH9","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01VYfcADEquKL6Z3YMEbjz4V","name":"Bash","input":{"command":"cd /workspace/dev && python - << 'EOF'\nimport re\ns = open('v1.py').read()\nstart = s.index('    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * 0')\nend = s.index('block_shape=[BN, D]) if False else None\\n') + len('block_shape=[BN, D]) if False else None\\n')\ns = s[:start] + s[end:]\nopen('v1.py','w').write(s)\nEOF\ngrep -n \"if False\" v1.py; timeout 900 python bench.py v1.py 2>&1 | tail -30","description":"Remove stray line and run v1 correctness/timing"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3463,"cache_read_input_tokens":73481,"cache_creation":{"ephemeral_5m_input_tokens":3463,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"574704d0-6f3f-41a5-a2c9-df018b35c906","timestamp":"2026-10-17T23:29:27.623Z","request_id":"req_011Cg8gJJqgoYFmNHQXriS4X"}
{"type":"system","subtype":"task_started","task_id":"bwwyrgey1","run_id":"0mvd13lsn-547c407d","tool_use_id":"toolu_01VYfcADEquKL6Z3YMEbjz4V","description":"Remove stray line and run v1 correctness/timing","is_backgrounded":false,"task_type":"local_bash","uuid":"d327a8c7-09ed-48ed-be2f-a3533bb4ba3c","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bwwyrgey1","run_id":"0mvd13lsn-547c407d","tool_use_id":"toolu_01VYfcADEquKL6Z3YMEbjz4V","status":"completed","output_file":"","summary":"Remove stray line and run v1 correctness/timing","uuid":"7f314192-eaf5-4565-9caf-4a6b632a03ae","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01VYfcADEquKL6Z3YMEbjz4V","type":"tool_result","content":"Traceback (most recent call last):\n  File \"/workspace/dev/bench.py\", line 81, in <module>\n    main()\n  File \"/workspace/dev/bench.py\", line 58, in main\n    ok, st = check_shape(mod, sh)\n             ^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 42, in check_shape\n    mod.kernel_fn(*args)\n  File \"/workspace/dev/v1.py\", line 137, in kernel_fn\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 459, in _init_handles\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 329736, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8f778581-68c0-4bfe-bc9a-30c2df727434","timestamp":"2026-10-17T23:29:51.613Z","tool_use_result":{"stdout":"Traceback (most recent call last):\n  File \"/workspace/dev/bench.py\", line 81, in <module>\n    main()\n  File \"/workspace/dev/bench.py\", line 58, in main\n    ok, st = check_shape(mod, sh)\n             ^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 42, in check_shape\n    mod.kernel_fn(*args)\n  File \"/workspace/dev/v1.py\", line 137, in kernel_fn\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 459, in _init_handles\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 329736, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01VYfcADEquKL6Z3YMEbjz4V","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":38,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4587019f-94e4-4bf9-801f-6ae3ab3d95f5"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gLQBU3KcZ51Xg7smrz","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm calculating shared memory usage across different block sizes and stage counts, trying to find a configuration that fits within the budget—testing BN=64 with fewer stages versus BN=128 to see which combination avoids exceeding the memory limit.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1281,"cache_read_input_tokens":76944,"cache_creation":{"ephemeral_5m_input_tokens":1281,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"da4275c1-80e4-4f72-ba6f-017199b5ffc7","timestamp":"2026-10-17T23:29:55.793Z","request_id":"req_011Cg8gLPodvXj2E3mTkSebY","thinking_duration_ms":2910,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gLQBU3KcZ51Xg7smrz","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Q6bisGD2NF7hpNEsNocACC","name":"Bash","input":{"command":"sed -i 's/    BM, BN = 128, 128/    BM, BN = 128, int(__import__(\"os\").environ.get(\"BN\", \"64\"))/; s/WS=True, num_warps=4, num_stages=2)/WS=True, num_warps=4, num_stages=int(__import__(\"os\").environ.get(\"ST\", \"2\")))/' v1.py && grep -n \"BN = \\|num_stages\" v1.py && BN=64 ST=2 timeout 900 python bench.py v1.py 2>&1 | tail -30","description":"Try BN=64 with 2 stages"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1281,"cache_read_input_tokens":76944,"cache_creation":{"ephemeral_5m_input_tokens":1281,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"6652ddab-ccf4-4826-a8c2-3158da52a982","timestamp":"2026-10-17T23:29:56.166Z","request_id":"req_011Cg8gLPodvXj2E3mTkSebY"}
{"type":"system","subtype":"task_started","task_id":"b20wzoarp","run_id":"0mvd147ty-8593d1d1","tool_use_id":"toolu_01Q6bisGD2NF7hpNEsNocACC","description":"Try BN=64 with 2 stages","is_backgrounded":false,"task_type":"local_bash","uuid":"679f1928-e8a8-49d4-80f0-cc4b37a8592c","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"b20wzoarp","run_id":"0mvd147ty-8593d1d1","tool_use_id":"toolu_01Q6bisGD2NF7hpNEsNocACC","status":"completed","output_file":"","summary":"Try BN=64 with 2 stages","uuid":"c4e5c7eb-9d9d-4ce5-ab6f-325dbcba6910","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Q6bisGD2NF7hpNEsNocACC","type":"tool_result","content":"127:    BM, BN = 128, int(__import__(\"os\").environ.get(\"BN\", \"64\"))\n138:                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=4, num_stages=int(__import__(\"os\").environ.get(\"ST\", \"2\")))\nTraceback (most recent call last):\n  File \"/workspace/dev/bench.py\", line 81, in <module>\n    main()\n  File \"/workspace/dev/bench.py\", line 58, in main\n    ok, st = check_shape(mod, sh)\n             ^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 42, in check_shape\n    mod.kernel_fn(*args)\n  File \"/workspace/dev/v1.py\", line 137, in kernel_fn\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 464, in _init_handles\n    raise_(OutOfResources(self.metadata.tmem_size, max_tmem_size, \"tensor memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"627848f3-22f1-446e-a7a3-c886757f85f7","timestamp":"2026-10-17T23:30:02.800Z","tool_use_result":{"stdout":"127:    BM, BN = 128, int(__import__(\"os\").environ.get(\"BN\", \"64\"))\n138:                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=4, num_stages=int(__import__(\"os\").environ.get(\"ST\", \"2\")))\nTraceback (most recent call last):\n  File \"/workspace/dev/bench.py\", line 81, in <module>\n    main()\n  File \"/workspace/dev/bench.py\", line 58, in main\n    ok, st = check_shape(mod, sh)\n             ^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 42, in check_shape\n    mod.kernel_fn(*args)\n  File \"/workspace/dev/v1.py\", line 137, in kernel_fn\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 464, in _init_handles\n    raise_(OutOfResources(self.metadata.tmem_size, max_tmem_size, \"tensor memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Q6bisGD2NF7hpNEsNocACC","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gMEfzKgx4cYX3ewexY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm trying to figure out why TMEM needs 576 when only 512 is available with BN=64 — likely because the two separate loops (unmasked and masked) each allocate their own double-buffered S memory plus the shared accumulator, pushing the total over budget.\n\nI'm weighing options: applying the mask conditionally within a single unified loop at the cost of extra ALU work per element, versus disabling warp specialization just for the masked loop so it uses pipelining instead and shares TMEM differently. I think I'll try keeping warp specialization only on the unmasked loop and leaving the masked loop unspecialized, though I'm also wondering if nesting this inside the outer loop over heads could cause its own complications.\n\nTo understand how TMEM is actually allocated, I'm planning to dump the TTGIR and inspect the compiled kernel's allocations directly rather than guessing, then just test the warp-specialization-off approach for the masked loop first.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1375,"cache_read_input_tokens":78225,"cache_creation":{"ephemeral_5m_input_tokens":1375,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"436ae902-2960-4bef-82d4-574e089ed7ff","timestamp":"2026-10-17T23:30:15.642Z","request_id":"req_011Cg8gMDfDrEvdi6EqsofEE","thinking_duration_ms":10546,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gMEfzKgx4cYX3ewexY","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01WjLVsrSa74GfWT7Z1TmK3q","name":"Bash","input":{"command":"sed -i 's/acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk \\* D, mid, hi, qk_scale, qpos, BN, True, WS)/acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, mid, hi, qk_scale, qpos, BN, True, False)/' v1.py && grep -n \"True, False)\" v1.py && BN=64 ST=2 timeout 900 python bench.py v1.py 2>&1 | tail -30","description":"Disable WS on masked loop and retest"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1375,"cache_read_input_tokens":78225,"cache_creation":{"ephemeral_5m_input_tokens":1375,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"748afa7c-ff68-4b7d-9ac1-73e9634a070f","timestamp":"2026-10-17T23:30:15.654Z","request_id":"req_011Cg8gMDfDrEvdi6EqsofEE"}
{"type":"system","subtype":"task_started","task_id":"bblizdzuj","run_id":"0mvd14mv0-313599f1","tool_use_id":"toolu_01WjLVsrSa74GfWT7Z1TmK3q","description":"Disable WS on masked loop and retest","is_backgrounded":false,"task_type":"local_bash","uuid":"609a2767-5339-4160-b0a7-57a35fd24657","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bblizdzuj","run_id":"0mvd14mv0-313599f1","tool_use_id":"toolu_01WjLVsrSa74GfWT7Z1TmK3q","status":"completed","output_file":"","summary":"Disable WS on masked loop and retest","uuid":"9f3fc1f0-2c04-47a1-94a8-ced3e7ecb0c6","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01WjLVsrSa74GfWT7Z1TmK3q","type":"tool_result","content":"81:        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, mid, hi, qk_scale, qpos, BN, True, False)\nTraceback (most recent call last):\n  File \"/workspace/dev/bench.py\", line 81, in <module>\n    main()\n  File \"/workspace/dev/bench.py\", line 58, in main\n    ok, st = check_shape(mod, sh)\n             ^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 42, in check_shape\n    mod.kernel_fn(*args)\n  File \"/workspace/dev/v1.py\", line 137, in kernel_fn\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 464, in _init_handles\n    raise_(OutOfResources(self.metadata.tmem_size, max_tmem_size, \"tensor memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ca762762-2383-45ad-926f-030401c5fc17","timestamp":"2026-10-17T23:30:22.446Z","tool_use_result":{"stdout":"81:        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, mid, hi, qk_scale, qpos, BN, True, False)\nTraceback (most recent call last):\n  File \"/workspace/dev/bench.py\", line 81, in <module>\n    main()\n  File \"/workspace/dev/bench.py\", line 58, in main\n    ok, st = check_shape(mod, sh)\n             ^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 42, in check_shape\n    mod.kernel_fn(*args)\n  File \"/workspace/dev/v1.py\", line 137, in kernel_fn\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 464, in _init_handles\n    raise_(OutOfResources(self.metadata.tmem_size, max_tmem_size, \"tensor memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01WjLVsrSa74GfWT7Z1TmK3q","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gNg22FeWQ6veFkCQ2w","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Still 576 - I want to inspect the TTGIR to see the TMEM allocations directly, so I'm writing a dev script that compiles with warmup and prints out the lines containing tmem_alloc.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1937,"cache_read_input_tokens":79600,"cache_creation":{"ephemeral_5m_input_tokens":1937,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"bba40b77-1381-4d38-bed6-d1457ac786c7","timestamp":"2026-10-17T23:30:25.497Z","request_id":"req_011Cg8gNfeCiF38ydYFfNPtH","thinking_duration_ms":1777,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gNg22FeWQ6veFkCQ2w","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_011PkXWmu6cfybd168Xi14sk","name":"Bash","input":{"command":"cat > dump.py << 'EOF'\nimport sys, os, importlib.util, torch, triton\nsys.path.insert(0, '/workspace')\nimport task as T\nspec = importlib.util.spec_from_file_location('m', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nshape = dict(B=1, Sq=256, Sk=4096)\ncase = T.make_case(shape, 1, 'cuda')\ntry:\n    m.kernel_fn(*case.args)\n    torch.cuda.synchronize()\nexcept Exception as e:\n    print('ERR', str(e)[:300])\nkern = getattr(m, sys.argv[2] if len(sys.argv) > 2 else '_attn_fwd')\nfor dev, cache in kern.device_caches.items():\n    for key, ck in cache[0].items():\n        print('shared', ck.metadata.shared, 'tmem', getattr(ck.metadata, 'tmem_size', None), 'regs', ck.n_regs, 'spills', ck.n_spills)\n        open('/tmp/k.ttgir', 'w').write(ck.asm['ttgir'])\n        open('/tmp/k.ptx', 'w').write(ck.asm['ptx'])\n        if 'sass' in ck.asm: open('/tmp/k.sass','w').write(ck.asm['sass'])\nEOF\nBN=64 ST=2 python dump.py v1.py 2>&1 | tail -5; grep -n \"tmem_alloc\\|local_alloc\\|warp_specialize\\|partition\" /tmp/k.ttgir | head -60","description":"Dump TTGIR and inspect TMEM/SMEM allocations"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1937,"cache_read_input_tokens":79600,"cache_creation":{"ephemeral_5m_input_tokens":1937,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"af6df3b0-7c41-430a-b92f-43392d1c948a","timestamp":"2026-10-17T23:30:28.754Z","request_id":"req_011Cg8gNfeCiF38ydYFfNPtH"}
{"type":"system","subtype":"task_started","task_id":"bq6cy98ju","run_id":"0mvd14wyq-e864f2c8","tool_use_id":"toolu_011PkXWmu6cfybd168Xi14sk","description":"Dump TTGIR and inspect TMEM/SMEM allocations","is_backgrounded":false,"task_type":"local_bash","uuid":"e422658e-58f3-44fc-8eb9-860923122d6c","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011PkXWmu6cfybd168Xi14sk","type":"tool_result","content":"Traceback (most recent call last):\n  File \"/workspace/dev/dump.py\", line 15, in <module>\n    print('shared', ck.metadata.shared, 'tmem', getattr(ck.metadata, 'tmem_size', None), 'regs', ck.n_regs, 'spills', ck.n_spills)\n                                                                                                 ^^^^^^^^^\nAttributeError: 'CompiledKernel' object has no attribute 'n_regs'\nugrep: warning: /tmp/k.ttgir: No such file or directory","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"2d1a3465-17aa-4956-867a-583b635689d5","timestamp":"2026-10-17T23:30:33.543Z","tool_use_result":{"stdout":"Traceback (most recent call last):\n  File \"/workspace/dev/dump.py\", line 15, in <module>\n    print('shared', ck.metadata.shared, 'tmem', getattr(ck.metadata, 'tmem_size', None), 'regs', ck.n_regs, 'spills', ck.n_spills)\n                                                                                                 ^^^^^^^^^\nAttributeError: 'CompiledKernel' object has no attribute 'n_regs'\nugrep: warning: /tmp/k.ttgir: No such file or directory","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011PkXWmu6cfybd168Xi14sk","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gPVQKPPfWc31afnR3k","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01EAq2et3aRmMWakey6CsSkq","name":"Bash","input":{"command":"sed -i \"s/, 'regs', ck.n_regs, 'spills', ck.n_spills)/)/\" dump.py && BN=64 ST=2 python dump.py v1.py 2>&1 | tail -5; grep -n \"tmem_alloc\\|local_alloc\\|warp_specialize\\|partition\" /tmp/k.ttgir | cut -c1-250 | head -60","description":"Re-run TTGIR dump and grep allocations"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":982,"cache_read_input_tokens":81537,"cache_creation":{"ephemeral_5m_input_tokens":982,"ephemeral_1h_input_tokens":0},"output_tokens":20,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"6dccfe2d-5c2e-4a76-981f-d14ee54a2426","timestamp":"2026-10-17T23:30:36.355Z","request_id":"req_011Cg8gPV3EzyDt3uMBuMgXP"}
{"type":"system","subtype":"task_started","task_id":"bqi024pxf","run_id":"0mvd152u2-9098098a","tool_use_id":"toolu_01EAq2et3aRmMWakey6CsSkq","description":"Re-run TTGIR dump and grep allocations","is_backgrounded":false,"task_type":"local_bash","uuid":"a9aea2d7-cdb8-4433-9685-b106ab2097c4","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bqi024pxf","run_id":"0mvd152u2-9098098a","tool_use_id":"toolu_01EAq2et3aRmMWakey6CsSkq","status":"completed","output_file":"","summary":"Re-run TTGIR dump and grep allocations","uuid":"ecdbfc13-e5da-45d2-b34e-32159271cbdb","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01EAq2et3aRmMWakey6CsSkq","type":"tool_result","content":"ERR out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\nshared 198224 tmem 576\n190:      %q_72 = ttg.local_alloc %q_71 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc184)\n194:      %s = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n199:      %s_76 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n205:      %acc = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n208:      %acc_80 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n212:      %acc_82 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc269)\n215:      %6 = ttg.local_alloc : () -> !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(#loc1)\n216:      %7 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc1)\n219:      %9 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc1)\n222:      %s_84 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc268)\n223:      %s_85 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n228:      %s_88 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n233:      %v = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc270)\n234:      %v_91 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc270)\n239:      %v_94 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc270)\n244:      %m_new_97 = ttg.local_alloc : () -> !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(#loc271)\n245:      %m_new_98 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc271)\n248:      %m_new_100 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc271)\n251:      %acc_102 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n254:      %acc_104 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n257:      %s_106 = ttng.tmem_alloc : () -> !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc268)\n258:      %acc_107 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc269)\n259:      %m_i:3 = ttg.warp_specialize(%9, %6, %7, %m_new_100, %m_new_97, %m_new_98, %acc_82, %acc_80, %acc, %lo_45, %mid_73, %s_88, %s_84, %s_106, %q_72, %s_76, %s_85, %v_94, %v, %acc_104, %acc_107, %acc_102, %v_91, %s, %kd_54, %5, %vd_56) attribute\n310:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n311:        %m_i_179 = arith.addi %m_i_178#2, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n312:        %m_i_180 = arith.cmpi eq, %m_i_179, %c2_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n313:        %m_i_181 = arith.select %m_i_180, %c0_i32, %m_i_179 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n314:        %m_i_182 = arith.xori %m_i_178#3, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n315:        %m_i_183 = arith.select %m_i_180, %m_i_182, %m_i_178#3 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n316:        %s_184 = ttg.memdesc_index %s_76[%m_i_181] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc268)\n317:        ttng.wait_barrier %s_184, %m_i_183 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n318:        %s_185 = ttg.memdesc_index %s[%m_i_181] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc268)\n319:        ttng.arrive_barrier %s_185, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n322:      partition0(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %m_new_178: !ttg.\n354:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n355:        %acc_206 = ttg.memdesc_index %acc_182[%c0_i32_202] {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc269)\n356:        ttng.arrive_barrier %acc_206, 1 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n359:      partition1(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %m_new_178: !ttg.\n441:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n442:        %s_233 = ttg.memdesc_index %s_190[%m_i_232#0] {ttg.partition = array<i32: 2>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc268)\n443:        ttng.tc_gen5_commit %s_233 {ttg.partition = array<i32: 2>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n446:      partition2(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %m_new_178: !ttg.\n492:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n527:      %s_109 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc285)\n528:      %acc_110 = ttng.tmem_alloc : () -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc286)\n536:      %m_i_112 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n541:      %m_i_115 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n546:      %k = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc287)\n547:      %v_118 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc288)\n548:      %m_i_119 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n553:      %m_i_122 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n606:      %acc_156 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc286)","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"72642f50-9e60-46db-92dd-fe3f6847b0f4","timestamp":"2026-10-17T23:30:43.014Z","tool_use_result":{"stdout":"ERR out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\nshared 198224 tmem 576\n190:      %q_72 = ttg.local_alloc %q_71 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc184)\n194:      %s = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n199:      %s_76 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n205:      %acc = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n208:      %acc_80 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n212:      %acc_82 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc269)\n215:      %6 = ttg.local_alloc : () -> !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(#loc1)\n216:      %7 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc1)\n219:      %9 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc1)\n222:      %s_84 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc268)\n223:      %s_85 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n228:      %s_88 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc268)\n233:      %v = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc270)\n234:      %v_91 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc270)\n239:      %v_94 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc270)\n244:      %m_new_97 = ttg.local_alloc : () -> !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(#loc271)\n245:      %m_new_98 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc271)\n248:      %m_new_100 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc271)\n251:      %acc_102 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n254:      %acc_104 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(#loc269)\n257:      %s_106 = ttng.tmem_alloc : () -> !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc268)\n258:      %acc_107 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc269)\n259:      %m_i:3 = ttg.warp_specialize(%9, %6, %7, %m_new_100, %m_new_97, %m_new_98, %acc_82, %acc_80, %acc, %lo_45, %mid_73, %s_88, %s_84, %s_106, %q_72, %s_76, %s_85, %v_94, %v, %acc_104, %acc_107, %acc_102, %v_91, %s, %kd_54, %5, %vd_56) attribute\n310:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n311:        %m_i_179 = arith.addi %m_i_178#2, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n312:        %m_i_180 = arith.cmpi eq, %m_i_179, %c2_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n313:        %m_i_181 = arith.select %m_i_180, %c0_i32, %m_i_179 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n314:        %m_i_182 = arith.xori %m_i_178#3, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n315:        %m_i_183 = arith.select %m_i_180, %m_i_182, %m_i_178#3 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 loc(#loc317)\n316:        %s_184 = ttg.memdesc_index %s_76[%m_i_181] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc268)\n317:        ttng.wait_barrier %s_184, %m_i_183 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n318:        %s_185 = ttg.memdesc_index %s[%m_i_181] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc268)\n319:        ttng.arrive_barrier %s_185, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n322:      partition0(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %m_new_178: !ttg.\n354:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n355:        %acc_206 = ttg.memdesc_index %acc_182[%c0_i32_202] {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc269)\n356:        ttng.arrive_barrier %acc_206, 1 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n359:      partition1(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %m_new_178: !ttg.\n441:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n442:        %s_233 = ttg.memdesc_index %s_190[%m_i_232#0] {ttg.partition = array<i32: 2>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc268)\n443:        ttng.tc_gen5_commit %s_233 {ttg.partition = array<i32: 2>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc317)\n446:      partition2(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %m_new_178: !ttg.\n492:        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} loc(#loc317)\n527:      %s_109 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc285)\n528:      %acc_110 = ttng.tmem_alloc : () -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc286)\n536:      %m_i_112 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n541:      %m_i_115 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n546:      %k = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc287)\n547:      %v_118 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc288)\n548:      %m_i_119 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n553:      %m_i_122 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc320)\n606:      %acc_156 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc286)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01EAq2et3aRmMWakey6CsSkq","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":4,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"6d6a47c0-2691-44e2-8a67-b45a4b435dd2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":10,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"70198f72-2189-45bf-838e-727203b26fe4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":15,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"9239f502-6ea0-49a7-8a16-d3c05e76f713"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":19,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"dc9ec88e-1deb-4daa-8e38-0f209eed5e7e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"79a4c6c0-921b-4fe1-a82e-8deee5efbd2a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":25,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"908ab201-0c51-4a38-9ed8-8bc7d6c2cfa2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":28,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4472c7ab-9237-4792-9d44-d7f0cfd361b3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":35,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"5338d3ef-804b-4ba9-a4bb-dd2033ed373c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":41,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"cbeae3c6-1b65-488b-b29b-b71296bdecca"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":44,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"820f0864-b4ee-43b0-a6c0-5e99c20f6ed1"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":48,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"80414b64-d36a-459d-92e4-427277c4083f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":49,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d5e040bd-3885-4b4a-a08e-4ce042ef60e7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":52,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0977eee7-2b28-4e8c-9d11-97cfc9baac0c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":53,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"129039a2-aafa-4ca5-b378-54c5228c8971"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":54,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"07f5836c-3892-4a14-aa77-b93b671e77be"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":182,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ab64dd28-46ec-42e9-a2bf-006437c8e112"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":198,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a728d8b2-b727-4e23-9108-68f1bd04b408"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":202,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c6ede67d-c558-4d63-ad15-2bb93b38b029"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":206,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"31c0070c-1a73-4826-8a0f-3b7c31bd66ad"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":211,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d5130802-822a-4cf2-9d0e-7e12620d1d39"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":216,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c57f046d-047e-4963-97eb-ea8ab342f01b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":223,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8441c516-b59f-48b9-99da-f92e164870f8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":229,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0e9ed475-87e5-4180-933b-4b9e3a9dd370"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":235,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3b6b2d46-c843-42b7-90ee-fae1ca39b432"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":240,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0a66a393-b971-4c4f-9082-7aa67a568d31"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":244,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"25c24b56-3764-40f1-86c1-5cffe31a30bf"}
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I'm weighing options: folding the masked section into the same WS loop with a conditional mask applied only when needed, versus splitting into a separate kernel, versus computing the mask arithmetically as an additive bias — leaning toward trying a scalar branch inside the loop first, since an always-true comparison for unmasked iterations should be nearly free.\n\nEstimating the cost of that comparison: roughly 12% extra ALU work in the softmax partition per iteration, which should be tolerable if softmax isn't the bottleneck. I'll go ahead and try the conditional approach first.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4486,"cache_read_input_tokens":82519,"cache_creation":{"ephemeral_5m_input_tokens":4486,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3c80c20b-90ea-4429-8098-504ed3ce2c4e","timestamp":"2026-10-17T23:30:54.739Z","request_id":"req_011Cg8gQBYZXpA1SYh3JLaVv","thinking_duration_ms":9330,"thinking_display":"summarized"}
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{"type":"system","subtype":"task_started","task_id":"bla3xc791","run_id":"0mvd16w02-ac6208ce","tool_use_id":"toolu_01Ljow5oNGczYJJhD4K3yiam","description":"Check spills and partition warp counts","is_backgrounded":false,"task_type":"local_bash","uuid":"1897e752-f409-4216-a4c9-d8d42052bcf0","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Ljow5oNGczYJJhD4K3yiam","type":"tool_result","content":"shared 198224 tmem 512\n0\n61:module attributes {\"ttg.num-ctas\" = 1 : i32, \"ttg.num-warps\" = 4 : i32, ttg.target = \"cuda:103\", \"ttg.threads-per-warp\" = 32 : i32} {\n249:      %m_i:3 = ttg.warp_specialize(%9, %6, %7, %m_use_98, %m_use, %m_use_96, %acc_81, %acc_79, %acc, %lo_44, %hi_47, %s_87, %s_83, %s_104, %q_71, %s_75, %s_84, %v_93, %v, %acc_102, %acc_105, %acc_100, %v_90, %s, %kd_53, %5, %vd_55) attributes {requestedRegisters = array<i32: 88, 24, 24>}\n30:.reqntid 384\n31:.maxnreg 168\n/tmp/k.ptx\n/tmp/k.ttgir","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"2e2cb9b3-ed24-4aff-b71b-b2c06b0947e4","timestamp":"2026-10-17T23:32:05.405Z","tool_use_result":{"stdout":"shared 198224 tmem 512\n0\n61:module attributes {\"ttg.num-ctas\" = 1 : i32, \"ttg.num-warps\" = 4 : i32, ttg.target = \"cuda:103\", \"ttg.threads-per-warp\" = 32 : i32} {\n249:      %m_i:3 = ttg.warp_specialize(%9, %6, %7, %m_use_98, %m_use, %m_use_96, %acc_81, %acc_79, %acc, %lo_44, %hi_47, %s_87, %s_83, %s_104, %q_71, %s_75, %s_84, %v_93, %v, %acc_102, %acc_105, %acc_100, %v_90, %s, %kd_53, %5, %vd_55) attributes {requestedRegisters = array<i32: 88, 24, 24>}\n30:.reqntid 384\n31:.maxnreg 168\n/tmp/k.ptx\n/tmp/k.ttgir","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Ljow5oNGczYJJhD4K3yiam","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gWGAHp4w7cx9jB3MEu","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I see the kernel runs 384 threads across 12 warps: 4 default warps plus 3 partitions with register allocations of 88, 24, and 24. I want to examine what each partition actually does by scanning the fuller warp_specialize region in the TTGIR, focusing on the partition structure around lines 249-500.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":805,"cache_read_input_tokens":90607,"cache_creation":{"ephemeral_5m_input_tokens":805,"ephemeral_1h_input_tokens":0},"output_tokens":3,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"bd64c656-6db4-4806-9392-74846a3ff419","timestamp":"2026-10-17T23:32:08.871Z","request_id":"req_011Cg8gWFpxGZ5RunKiDFUFz","thinking_duration_ms":2121,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gWGAHp4w7cx9jB3MEu","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01HVuLiQcNZvpWYSULRX4Yug","name":"Bash","input":{"command":"sed -n 249,500p /tmp/k.ttgir | sed -E 's/loc\\(#loc[0-9]+\\)//g; s/\\{ttg.partition = array<i32: ([0-9, ]+)>[^}]*\\}/[P\\1]/g' | cut -c1-220 | grep -v \"^\\s*$\" | head -250","description":"View warp-specialized partitions in TTGIR"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":805,"cache_read_input_tokens":90607,"cache_creation":{"ephemeral_5m_input_tokens":805,"ephemeral_1h_input_tokens":0},"output_tokens":3,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d96ca4a7-983d-44cc-9ac1-f288c46d0af9","timestamp":"2026-10-17T23:32:09.062Z","request_id":"req_011Cg8gWFpxGZ5RunKiDFUFz"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01HVuLiQcNZvpWYSULRX4Yug","type":"tool_result","content":"      %m_i:3 = ttg.warp_specialize(%9, %6, %7, %m_use_98, %m_use, %m_use_96, %acc_81, %acc_79, %acc, %lo_44, %hi_47, %s_87, %s_83, %s_104, %q_71, %s_75, %s_84, %v_93, %v, %acc_102, %acc_105, %acc_100, %v_90, %s, %kd_53, \n      default {\n        %m_i_122:6 = scf.for %m_i_130 = %lo_44 to %hi_47 step %c64_i32 iter_args(%arg15 = %cst_2, %arg16 = %cst_3, %arg17 = %c1_i32, %arg18 = %c1_i32, %arg19 = %c1_i32, %arg20 = %c0_i32) -> (tensor<128xf32, #ttg.slice<{d\n          %m_use_131 = arith.xori %arg20, %c1_i32 : i32 \n          ttng.wait_barrier %8, %m_use_131 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %23 = ttg.memdesc_index %6[%c0_i32] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttg.local_store %arg16, %23 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttng.arrive_barrier %10, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %24 = arith.cmpi sge, %m_i_130, %mid_72 : i32 \n          %s_132 = arith.addi %arg17, %c1_i32 : i32 \n          %s_133 = arith.cmpi eq, %s_132, %c2_i32 : i32 \n          %s_134 = arith.select %s_133, %c0_i32, %s_132 : i32 \n          %s_135 = arith.xori %arg18, %c1_i32 : i32 \n          %s_136 = arith.select %s_133, %s_135, %arg18 : i32 \n          %s_137 = ttg.memdesc_index %s_75[%s_134] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_137, %s_136 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_138 = ttg.memdesc_index %s_104[%s_134] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n          %s_139 = ttg.memdesc_index %s[%s_134] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_140 = ttng.tmem_load %s_138 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> \n          ttng.arrive_barrier %s_139, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %25 = scf.if %24 -> (tensor<128x64xf32, #linear>) {\n            %ok = tt.splat %m_i_130 : i32 -> tensor<64xi32, #ttg.slice<{dim = 0, parent = #linear}>> \n            %ok_158 = arith.addi %ok, %offs_n : tensor<64xi32, #ttg.slice<{dim = 0, parent = #linear}>> \n            %ok_159 = tt.expand_dims %ok_158 {axis = 0 : i32} : tensor<64xi32, #ttg.slice<{dim = 0, parent = #linear}>> -> tensor<1x64xi32, #linear> \n            %ok_160 = tt.expand_dims %qpos_22 {axis = 1 : i32} : tensor<128xi32, #ttg.slice<{dim = 1, parent = #linear}>> -> tensor<128x1xi32, #linear> \n            %ok_161 = tt.broadcast %ok_159 : tensor<1x64xi32, #linear> -> tensor<128x64xi32, #linear> \n            %ok_162 = tt.broadcast %ok_160 : tensor<128x1xi32, #linear> -> tensor<128x64xi32, #linear> \n            %ok_163 = arith.cmpi sle, %ok_161, %ok_162 : tensor<128x64xi32, #linear> \n            %s_164 = arith.select %ok_163, %s_140, %cst : tensor<128x64xi1, #linear>, tensor<128x64xf32, #linear> \n            scf.yield %s_164 : tensor<128x64xf32, #linear> \n          } else {\n            scf.yield %s_140 : tensor<128x64xf32, #linear> \n          } \n          %m_new_141 = \"tt.reduce\"(%25) <{axis = 1 : i32}> ({\n          ^bb0(%m_new_158: f32 loc(callsite(#loc1 at #loc262)), %m_new_159: f32 loc(callsite(#loc1 at #loc262))):\n            %m_new_160 = arith.maxnumf %m_new_158, %m_new_159 : f32 \n            tt.reduce.return %m_new_160 : f32 \n          }) : (tensor<128x64xf32, #linear>) -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_new_142 = arith.mulf %m_new_141, %m_new : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_new_143 = arith.maxnumf %arg16, %m_new_142 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_use_144 = arith.cmpf oeq, %m_new_143, %cst_3 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_use_145 = arith.select %m_use_144, %cst_2, %m_new_143 : tensor<128xi1, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          ttng.wait_barrier %m_use_97, %m_use_131 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_use_146 = ttg.memdesc_index %m_use[%c0_i32] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttg.local_store %m_use_145, %m_use_146 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttng.arrive_barrier %m_use_99, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %p_147 = arith.mulf %25, %p : tensor<128x64xf32, #linear> \n          %p_148 = tt.expand_dims %m_use_145 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> -> tensor<128x1xf32, #linear> \n          %p_149 = tt.broadcast %p_148 : tensor<128x1xf32, #linear> -> tensor<128x64xf32, #linear> \n          %p_150 = arith.subf %p_147, %p_149 : tensor<128x64xf32, #linear> \n          %p_151 = math.exp2 %p_150 : tensor<128x64xf32, #linear> \n          %alpha = arith.subf %arg16, %m_use_145 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %alpha_152 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %l_i = arith.mulf %arg15, %alpha_152 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %l_i_153 = \"tt.reduce\"(%p_151) <{axis = 1 : i32}> ({\n          ^bb0(%l_i_158: f32 loc(callsite(#loc1 at #loc271)), %l_i_159: f32 loc(callsite(#loc1 at #loc271))):\n            %l_i_160 = arith.addf %l_i_158, %l_i_159 : f32 \n            tt.reduce.return %l_i_160 : f32 \n          }) : (tensor<128x64xf32, #linear>) -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %l_i_154 = arith.addf %l_i, %l_i_153 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %acc_155 = arith.truncf %p_151 : tensor<128x64xf32, #linear> to tensor<128x64xbf16, #linear> \n          ttng.wait_barrier %acc_101, %m_use_131 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_156 = ttg.memdesc_index %acc_105[%c0_i32] : !ttg.memdesc<1x128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> \n          ttng.tmem_store %acc_155, %acc_156, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> \n          ttng.arrive_barrier %acc_103, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_157 = arith.xori %arg19, %c1_i32 : i32 \n          scf.yield %l_i_154, %m_new_143, %s_134, %s_136, %acc_157, %m_use_131 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, i32, i32, i32, i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n        %m_i_123 = arith.addi %m_i_122#2, %c1_i32 [P0] : i32 \n        %m_i_124 = arith.cmpi eq, %m_i_123, %c2_i32 [P0] : i32 \n        %m_i_125 = arith.select %m_i_124, %c0_i32, %m_i_123 [P0] : i32 \n        %m_i_126 = arith.xori %m_i_122#3, %c1_i32 [P0] : i32 \n        %m_i_127 = arith.select %m_i_124, %m_i_126, %m_i_122#3 [P0] : i32 \n        %s_128 = ttg.memdesc_index %s_75[%m_i_125] [P0] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_128, %m_i_127 [P0] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_129 = ttg.memdesc_index %s[%m_i_125] [P0] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.arrive_barrier %s_129, 1 [P0] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttg.warp_yield %m_i_122#0, %m_i_122#1, %m_i_122#4 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, i32 \n      }\n      partition0(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(u\n        %true_145 = arith.constant true \n        %c0_i32_146 = arith.constant 0 : i32 \n        %c1_i32_147 = arith.constant 1 : i32 \n        %c64_i32_148 = arith.constant 64 : i32 \n        %m_i_149 = scf.for %m_i_151 = %lo_128 to %hi_129 step %c64_i32_148 iter_args(%arg42 = %c1_i32_147) -> (i32)  : i32 {\n          %m_use_152 = arith.xori %arg42, %c1_i32_147 : i32 \n          %23 = ttg.memdesc_index %arg14[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %23, %m_use_152 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %24 = ttg.memdesc_index %arg15[%c0_i32_146] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          %25 = ttg.local_load %24 : !ttg.memdesc<128xf32, #shared1, #smem, mutable> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %26 = ttg.memdesc_index %arg16[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.arrive_barrier %26, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_use_153 = ttg.memdesc_index %m_use_122[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %m_use_153, %m_use_152 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_use_154 = ttg.memdesc_index %m_use_123[%c0_i32_146] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          %m_use_155 = ttg.local_load %m_use_154 : !ttg.memdesc<128xf32, #shared1, #smem, mutable> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %m_use_156 = ttg.memdesc_index %m_use_124[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.arrive_barrier %m_use_156, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %alpha = arith.subf %25, %m_use_155 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %alpha_157 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %acc_158 = tt.expand_dims %alpha_157 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xf32, #linear1> \n          %acc_159 = tt.broadcast %acc_158 : tensor<128x1xf32, #linear1> -> tensor<128x256xf32, #linear1> \n          %acc_160 = ttg.memdesc_index %acc_125[%c0_i32_146] : !ttg.memdesc<1x128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> \n          %acc_161 = ttng.tmem_load %acc_160 : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> \n          %acc_162 = arith.mulf %acc_161, %acc_159 : tensor<128x256xf32, #linear1> \n          ttng.tmem_store %acc_162, %acc_160, %true_145 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> \n          %acc_163 = ttg.memdesc_index %acc_126[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.arrive_barrier %acc_163, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_164 = ttg.memdesc_index %acc_127[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %acc_164, %m_use_152 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          scf.yield %m_use_152 : i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n        %acc_150 = ttg.memdesc_index %acc_126[%c0_i32_146] [P1] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.arrive_barrier %acc_150, 1 [P1] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttg.warp_return \n      }\n      partition1(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(u\n        %false = arith.constant false \n        %true_145 = arith.constant true \n        %c0_i32_146 = arith.constant 0 : i32 \n        %c1_i32_147 = arith.constant 1 : i32 \n        %c64_i32_148 = arith.constant 64 : i32 \n        %c2_i32_149 = arith.constant 2 : i32 \n        %c128_i32 = arith.constant 128 : i32 \n        %m_i_150 = arith.cmpi slt, %lo_128, %hi_129 : i32 \n        %s_151 = ttg.memdesc_index %s_130[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_151, %c0_i32_146, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_152 = ttg.memdesc_index %s_131[%c0_i32_146] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_153 = ttg.memdesc_trans %s_152 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> \n        %s_154 = ttg.memdesc_index %s_132[%c0_i32_146] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n        ttng.fence_async_shared {bCluster = false} \n        %s_155 = ttg.memdesc_index %s_134[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_156 = ttg.memdesc_index %s_135[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.tc_gen5_mma %q_133, %s_153, %s_154, %false, %m_i_150, %s_155[%m_i_150], %s_156[%m_i_150] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.mem\n        %m_i_157 = arith.extui %m_i_150 : i1 to i32 \n        %s_158 = ttg.memdesc_index %s_142[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_158, %c1_i32_147, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %m_i_159 = arith.addi %lo_128, %c64_i32_148 : i32 \n        %m_i_160 = arith.cmpi slt, %m_i_159, %hi_129 : i32 \n        %s_161 = ttg.memdesc_index %s_130[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_161, %c0_i32_146, %m_i_160 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_162 = ttg.memdesc_index %s_131[%c1_i32_147] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_163 = ttg.memdesc_trans %s_162 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> \n        %s_164 = ttg.memdesc_index %s_132[%m_i_157] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n        ttng.fence_async_shared {bCluster = false} \n        %s_165 = ttg.memdesc_index %s_134[%m_i_157] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_166 = ttg.memdesc_index %s_135[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.tc_gen5_mma %q_133, %s_163, %s_164, %false, %m_i_160, %s_165[%m_i_160], %s_166[%m_i_160] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.mem\n        %s_167 = arith.addi %m_i_157, %c1_i32_147 : i32 \n        %s_168 = arith.cmpi eq, %s_167, %c2_i32_149 : i32 \n        %s_169 = arith.select %s_168, %c0_i32_146, %s_167 : i32 \n        %m_i_170 = arith.select %m_i_160, %s_169, %m_i_157 : i32 \n        %s_171 = arith.cmpi ne, %s_167, %c2_i32_149 : i32 \n        %s_172 = arith.extui %s_171 : i1 to i32 \n        %s_173 = ttg.memdesc_index %s_142[%s_169] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_173, %s_172, %m_i_160 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.fence_async_shared {bCluster = false} \n        %m_i_174:6 = scf.for %m_i_176 = %lo_128 to %hi_129 step %c64_i32_148 iter_args(%m_i_177 = %m_i_170, %s_178 = %s_172, %arg44 = %c1_i32_147, %s_179 = %c1_i32_147, %s_180 = %c0_i32_146, %arg47 = %c1_i32_147) -> (i32\n          %m_i_181 = arith.subi %hi_129, %c128_i32 : i32 \n          %m_i_182 = arith.cmpi slt, %m_i_176, %m_i_181 : i32 \n          %v_183 = arith.addi %s_179, %c1_i32_147 : i32 \n          %v_184 = arith.cmpi eq, %v_183, %c2_i32_149 : i32 \n          %v_185 = arith.select %v_184, %c0_i32_146, %v_183 : i32 \n          %v_186 = arith.xori %arg47, %c1_i32_147 : i32 \n          %v_187 = arith.select %v_184, %v_186, %arg47 : i32 \n          %v_188 = ttg.memdesc_index %v_136[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %v_188, %v_187 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %v_189 = ttg.memdesc_index %v_137[%v_185] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %acc_190 = arith.xori %arg44, %c1_i32_147 : i32 \n          %acc_191 = ttg.memdesc_index %acc_126[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %acc_191, %acc_190 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_192 = ttg.memdesc_index %acc_125[%c0_i32_146] : !ttg.memdesc<1x128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> \n          %acc_193 = ttg.memdesc_index %acc_138[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %acc_193, %acc_190 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_194 = ttg.memdesc_index %acc_139[%c0_i32_146] : !ttg.memdesc<1x128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> \n          %acc_195 = ttg.memdesc_index %acc_140[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_196 = ttg.memdesc_index %acc_127[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %v_197 = ttg.memdesc_index %v_141[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.tc_gen5_mma %acc_194, %v_189, %acc_192, %true_145, %true_145, %acc_195[%true_145], %acc_196[%true_145], %v_197[%true_145] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.\n          %s_198 = arith.xori %s_180, %c1_i32_147 : i32 \n          %s_199 = arith.select %v_184, %s_198, %s_180 : i32 \n          %s_200 = ttg.memdesc_index %s_130[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_200, %s_199, %m_i_182 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_201 = ttg.memdesc_index %s_131[%v_185] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %s_202 = ttg.memdesc_trans %s_201 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> \n          %s_203 = ttg.memdesc_index %s_132[%m_i_177] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n          %s_204 = ttg.memdesc_index %s_134[%m_i_177] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_205 = ttg.memdesc_index %s_135[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.tc_gen5_mma %q_133, %s_202, %s_203, %false, %m_i_182, %s_204[%m_i_182], %s_205[%m_i_182] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.m\n          %s_206 = arith.addi %m_i_177, %c1_i32_147 : i32 \n          %s_207 = arith.cmpi eq, %s_206, %c2_i32_149 : i32 \n          %s_208 = arith.select %s_207, %c0_i32_146, %s_206 : i32 \n          %s_209 = arith.xori %s_178, %c1_i32_147 : i32 \n          %s_210 = arith.select %s_207, %s_209, %s_178 : i32 \n          %s_211 = ttg.memdesc_index %s_142[%s_208] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_211, %s_210, %m_i_182 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_i_212 = arith.select %m_i_182, %s_208, %m_i_177 : i32 \n          scf.yield %m_i_212, %s_210, %acc_190, %v_185, %s_199, %v_187 : i32, i32, i32, i32, i32, i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n        %s_175 = ttg.memdesc_index %s_134[%m_i_174#0] [P2] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.tc_gen5_commit %s_175 [P2] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttg.warp_return \n      }\n      partition2(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(u\n        %true_145 = arith.constant true \n        %c0_i32_146 = arith.constant 0 : i32 \n        %c1_i32_147 = arith.constant 1 : i32 \n        %c64_i32_148 = arith.constant 64 : i32 \n        %c2_i32_149 = arith.constant 2 : i32 \n        %c128_i32 = arith.constant 128 : i32 \n        %m_i_150 = arith.cmpi slt, %lo_128, %hi_129 : i32 \n        %s_151 = ttg.memdesc_index %s_135[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_151, %c1_i32_147, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_152 = ttg.memdesc_index %s_131[%c0_i32_146] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_153 = ttg.memdesc_index %s_130[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.barrier_expect %s_153, 32768, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.async_tma_copy_global_to_local %kd_143[%lo_128, %arg39] %s_152, %s_153, %m_i_150 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #sh\n        %m_i_154 = arith.addi %lo_128, %c64_i32_148 : i32 \n        %m_i_155 = arith.cmpi slt, %m_i_154, %hi_129 : i32 \n        %s_156 = ttg.memdesc_index %s_135[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_156, %c1_i32_147, %m_i_155 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_157 = ttg.memdesc_index %s_131[%c1_i32_147] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_158 = ttg.memdesc_index %s_130[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.barrier_expect %s_158, 32768, %m_i_155 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.async_tma_copy_global_to_local %kd_143[%m_i_154, %arg39] %s_157, %s_158, %m_i_155 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #s\n        %m_i_159:3 = scf.for %m_i_160 = %lo_128 to %hi_129 step %c64_i32_148 iter_args(%s_161 = %c1_i32_147, %s_162 = %c1_i32_147, %arg44 = %c0_i32_146) -> (i32, i32, i32)  : i32 {\n          %m_i_163 = arith.subi %hi_129, %c128_i32 : i32 \n          %m_i_164 = arith.cmpi slt, %m_i_160, %m_i_163 : i32 \n          %v_165 = arith.addi %s_161, %c1_i32_147 : i32 \n          %v_166 = arith.cmpi eq, %v_165, %c2_i32_149 : i32 \n          %v_167 = arith.select %v_166, %c0_i32_146, %v_165 : i32 \n          %v_168 = arith.xori %arg44, %c1_i32_147 : i32 \n          %v_169 = arith.select %v_166, %v_168, %arg44 : i32 \n          %v_170 = ttg.memdesc_index %v_141[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %v_170, %v_169 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %v_171 = ttg.memdesc_index %v_137[%v_167] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %v_172 = ttg.memdesc_index %v_136[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.barrier_expect %v_172, 32768, %true_145 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.async_tma_copy_global_to_local %vd_144[%m_i_160, %arg39] %v_171, %v_172, %true_145 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16,\n          %s_173 = arith.xori %s_162, %c1_i32_147 : i32 \n          %s_174 = arith.select %v_166, %s_173, %s_162 : i32 \n          %s_175 = ttg.memdesc_index %s_135[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_175, %s_174, %m_i_164 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_176 = ttg.memdesc_index %s_131[%v_167] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %s_177 = ttg.memdesc_index %s_130[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.barrier_expect %s_177, 32768, %m_i_164 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_i_178 = arith.addi %m_i_160, %c128_i32 : i32 \n          ttng.async_tma_copy_global_to_local %kd_143[%m_i_178, %arg39] %s_176, %s_177, %m_i_164 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, \n          scf.yield %v_167, %s_174, %v_169 : i32, i32, i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32}","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"7e928277-a9e0-4706-adf5-9aaf3584c8ad","timestamp":"2026-10-17T23:32:09.103Z","tool_use_result":{"stdout":"      %m_i:3 = ttg.warp_specialize(%9, %6, %7, %m_use_98, %m_use, %m_use_96, %acc_81, %acc_79, %acc, %lo_44, %hi_47, %s_87, %s_83, %s_104, %q_71, %s_75, %s_84, %v_93, %v, %acc_102, %acc_105, %acc_100, %v_90, %s, %kd_53, \n      default {\n        %m_i_122:6 = scf.for %m_i_130 = %lo_44 to %hi_47 step %c64_i32 iter_args(%arg15 = %cst_2, %arg16 = %cst_3, %arg17 = %c1_i32, %arg18 = %c1_i32, %arg19 = %c1_i32, %arg20 = %c0_i32) -> (tensor<128xf32, #ttg.slice<{d\n          %m_use_131 = arith.xori %arg20, %c1_i32 : i32 \n          ttng.wait_barrier %8, %m_use_131 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %23 = ttg.memdesc_index %6[%c0_i32] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttg.local_store %arg16, %23 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttng.arrive_barrier %10, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %24 = arith.cmpi sge, %m_i_130, %mid_72 : i32 \n          %s_132 = arith.addi %arg17, %c1_i32 : i32 \n          %s_133 = arith.cmpi eq, %s_132, %c2_i32 : i32 \n          %s_134 = arith.select %s_133, %c0_i32, %s_132 : i32 \n          %s_135 = arith.xori %arg18, %c1_i32 : i32 \n          %s_136 = arith.select %s_133, %s_135, %arg18 : i32 \n          %s_137 = ttg.memdesc_index %s_75[%s_134] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_137, %s_136 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_138 = ttg.memdesc_index %s_104[%s_134] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n          %s_139 = ttg.memdesc_index %s[%s_134] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_140 = ttng.tmem_load %s_138 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> \n          ttng.arrive_barrier %s_139, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %25 = scf.if %24 -> (tensor<128x64xf32, #linear>) {\n            %ok = tt.splat %m_i_130 : i32 -> tensor<64xi32, #ttg.slice<{dim = 0, parent = #linear}>> \n            %ok_158 = arith.addi %ok, %offs_n : tensor<64xi32, #ttg.slice<{dim = 0, parent = #linear}>> \n            %ok_159 = tt.expand_dims %ok_158 {axis = 0 : i32} : tensor<64xi32, #ttg.slice<{dim = 0, parent = #linear}>> -> tensor<1x64xi32, #linear> \n            %ok_160 = tt.expand_dims %qpos_22 {axis = 1 : i32} : tensor<128xi32, #ttg.slice<{dim = 1, parent = #linear}>> -> tensor<128x1xi32, #linear> \n            %ok_161 = tt.broadcast %ok_159 : tensor<1x64xi32, #linear> -> tensor<128x64xi32, #linear> \n            %ok_162 = tt.broadcast %ok_160 : tensor<128x1xi32, #linear> -> tensor<128x64xi32, #linear> \n            %ok_163 = arith.cmpi sle, %ok_161, %ok_162 : tensor<128x64xi32, #linear> \n            %s_164 = arith.select %ok_163, %s_140, %cst : tensor<128x64xi1, #linear>, tensor<128x64xf32, #linear> \n            scf.yield %s_164 : tensor<128x64xf32, #linear> \n          } else {\n            scf.yield %s_140 : tensor<128x64xf32, #linear> \n          } \n          %m_new_141 = \"tt.reduce\"(%25) <{axis = 1 : i32}> ({\n          ^bb0(%m_new_158: f32 loc(callsite(#loc1 at #loc262)), %m_new_159: f32 loc(callsite(#loc1 at #loc262))):\n            %m_new_160 = arith.maxnumf %m_new_158, %m_new_159 : f32 \n            tt.reduce.return %m_new_160 : f32 \n          }) : (tensor<128x64xf32, #linear>) -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_new_142 = arith.mulf %m_new_141, %m_new : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_new_143 = arith.maxnumf %arg16, %m_new_142 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_use_144 = arith.cmpf oeq, %m_new_143, %cst_3 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %m_use_145 = arith.select %m_use_144, %cst_2, %m_new_143 : tensor<128xi1, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          ttng.wait_barrier %m_use_97, %m_use_131 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_use_146 = ttg.memdesc_index %m_use[%c0_i32] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttg.local_store %m_use_145, %m_use_146 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          ttng.arrive_barrier %m_use_99, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %p_147 = arith.mulf %25, %p : tensor<128x64xf32, #linear> \n          %p_148 = tt.expand_dims %m_use_145 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> -> tensor<128x1xf32, #linear> \n          %p_149 = tt.broadcast %p_148 : tensor<128x1xf32, #linear> -> tensor<128x64xf32, #linear> \n          %p_150 = arith.subf %p_147, %p_149 : tensor<128x64xf32, #linear> \n          %p_151 = math.exp2 %p_150 : tensor<128x64xf32, #linear> \n          %alpha = arith.subf %arg16, %m_use_145 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %alpha_152 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %l_i = arith.mulf %arg15, %alpha_152 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %l_i_153 = \"tt.reduce\"(%p_151) <{axis = 1 : i32}> ({\n          ^bb0(%l_i_158: f32 loc(callsite(#loc1 at #loc271)), %l_i_159: f32 loc(callsite(#loc1 at #loc271))):\n            %l_i_160 = arith.addf %l_i_158, %l_i_159 : f32 \n            tt.reduce.return %l_i_160 : f32 \n          }) : (tensor<128x64xf32, #linear>) -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %l_i_154 = arith.addf %l_i, %l_i_153 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n          %acc_155 = arith.truncf %p_151 : tensor<128x64xf32, #linear> to tensor<128x64xbf16, #linear> \n          ttng.wait_barrier %acc_101, %m_use_131 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_156 = ttg.memdesc_index %acc_105[%c0_i32] : !ttg.memdesc<1x128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> \n          ttng.tmem_store %acc_155, %acc_156, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> \n          ttng.arrive_barrier %acc_103, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_157 = arith.xori %arg19, %c1_i32 : i32 \n          scf.yield %l_i_154, %m_new_143, %s_134, %s_136, %acc_157, %m_use_131 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, i32, i32, i32, i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n        %m_i_123 = arith.addi %m_i_122#2, %c1_i32 [P0] : i32 \n        %m_i_124 = arith.cmpi eq, %m_i_123, %c2_i32 [P0] : i32 \n        %m_i_125 = arith.select %m_i_124, %c0_i32, %m_i_123 [P0] : i32 \n        %m_i_126 = arith.xori %m_i_122#3, %c1_i32 [P0] : i32 \n        %m_i_127 = arith.select %m_i_124, %m_i_126, %m_i_122#3 [P0] : i32 \n        %s_128 = ttg.memdesc_index %s_75[%m_i_125] [P0] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_128, %m_i_127 [P0] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_129 = ttg.memdesc_index %s[%m_i_125] [P0] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.arrive_barrier %s_129, 1 [P0] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttg.warp_yield %m_i_122#0, %m_i_122#1, %m_i_122#4 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, i32 \n      }\n      partition0(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(u\n        %true_145 = arith.constant true \n        %c0_i32_146 = arith.constant 0 : i32 \n        %c1_i32_147 = arith.constant 1 : i32 \n        %c64_i32_148 = arith.constant 64 : i32 \n        %m_i_149 = scf.for %m_i_151 = %lo_128 to %hi_129 step %c64_i32_148 iter_args(%arg42 = %c1_i32_147) -> (i32)  : i32 {\n          %m_use_152 = arith.xori %arg42, %c1_i32_147 : i32 \n          %23 = ttg.memdesc_index %arg14[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %23, %m_use_152 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %24 = ttg.memdesc_index %arg15[%c0_i32_146] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          %25 = ttg.local_load %24 : !ttg.memdesc<128xf32, #shared1, #smem, mutable> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %26 = ttg.memdesc_index %arg16[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.arrive_barrier %26, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_use_153 = ttg.memdesc_index %m_use_122[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %m_use_153, %m_use_152 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_use_154 = ttg.memdesc_index %m_use_123[%c0_i32_146] : !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> -> !ttg.memdesc<128xf32, #shared1, #smem, mutable> \n          %m_use_155 = ttg.local_load %m_use_154 : !ttg.memdesc<128xf32, #shared1, #smem, mutable> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %m_use_156 = ttg.memdesc_index %m_use_124[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.arrive_barrier %m_use_156, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %alpha = arith.subf %25, %m_use_155 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %alpha_157 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> \n          %acc_158 = tt.expand_dims %alpha_157 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xf32, #linear1> \n          %acc_159 = tt.broadcast %acc_158 : tensor<128x1xf32, #linear1> -> tensor<128x256xf32, #linear1> \n          %acc_160 = ttg.memdesc_index %acc_125[%c0_i32_146] : !ttg.memdesc<1x128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> \n          %acc_161 = ttng.tmem_load %acc_160 : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> \n          %acc_162 = arith.mulf %acc_161, %acc_159 : tensor<128x256xf32, #linear1> \n          ttng.tmem_store %acc_162, %acc_160, %true_145 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> \n          %acc_163 = ttg.memdesc_index %acc_126[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.arrive_barrier %acc_163, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_164 = ttg.memdesc_index %acc_127[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %acc_164, %m_use_152 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          scf.yield %m_use_152 : i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n        %acc_150 = ttg.memdesc_index %acc_126[%c0_i32_146] [P1] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.arrive_barrier %acc_150, 1 [P1] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttg.warp_return \n      }\n      partition1(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(u\n        %false = arith.constant false \n        %true_145 = arith.constant true \n        %c0_i32_146 = arith.constant 0 : i32 \n        %c1_i32_147 = arith.constant 1 : i32 \n        %c64_i32_148 = arith.constant 64 : i32 \n        %c2_i32_149 = arith.constant 2 : i32 \n        %c128_i32 = arith.constant 128 : i32 \n        %m_i_150 = arith.cmpi slt, %lo_128, %hi_129 : i32 \n        %s_151 = ttg.memdesc_index %s_130[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_151, %c0_i32_146, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_152 = ttg.memdesc_index %s_131[%c0_i32_146] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_153 = ttg.memdesc_trans %s_152 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> \n        %s_154 = ttg.memdesc_index %s_132[%c0_i32_146] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n        ttng.fence_async_shared {bCluster = false} \n        %s_155 = ttg.memdesc_index %s_134[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_156 = ttg.memdesc_index %s_135[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.tc_gen5_mma %q_133, %s_153, %s_154, %false, %m_i_150, %s_155[%m_i_150], %s_156[%m_i_150] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.mem\n        %m_i_157 = arith.extui %m_i_150 : i1 to i32 \n        %s_158 = ttg.memdesc_index %s_142[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_158, %c1_i32_147, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %m_i_159 = arith.addi %lo_128, %c64_i32_148 : i32 \n        %m_i_160 = arith.cmpi slt, %m_i_159, %hi_129 : i32 \n        %s_161 = ttg.memdesc_index %s_130[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_161, %c0_i32_146, %m_i_160 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_162 = ttg.memdesc_index %s_131[%c1_i32_147] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_163 = ttg.memdesc_trans %s_162 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> \n        %s_164 = ttg.memdesc_index %s_132[%m_i_157] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n        ttng.fence_async_shared {bCluster = false} \n        %s_165 = ttg.memdesc_index %s_134[%m_i_157] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_166 = ttg.memdesc_index %s_135[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.tc_gen5_mma %q_133, %s_163, %s_164, %false, %m_i_160, %s_165[%m_i_160], %s_166[%m_i_160] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.mem\n        %s_167 = arith.addi %m_i_157, %c1_i32_147 : i32 \n        %s_168 = arith.cmpi eq, %s_167, %c2_i32_149 : i32 \n        %s_169 = arith.select %s_168, %c0_i32_146, %s_167 : i32 \n        %m_i_170 = arith.select %m_i_160, %s_169, %m_i_157 : i32 \n        %s_171 = arith.cmpi ne, %s_167, %c2_i32_149 : i32 \n        %s_172 = arith.extui %s_171 : i1 to i32 \n        %s_173 = ttg.memdesc_index %s_142[%s_169] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_173, %s_172, %m_i_160 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.fence_async_shared {bCluster = false} \n        %m_i_174:6 = scf.for %m_i_176 = %lo_128 to %hi_129 step %c64_i32_148 iter_args(%m_i_177 = %m_i_170, %s_178 = %s_172, %arg44 = %c1_i32_147, %s_179 = %c1_i32_147, %s_180 = %c0_i32_146, %arg47 = %c1_i32_147) -> (i32\n          %m_i_181 = arith.subi %hi_129, %c128_i32 : i32 \n          %m_i_182 = arith.cmpi slt, %m_i_176, %m_i_181 : i32 \n          %v_183 = arith.addi %s_179, %c1_i32_147 : i32 \n          %v_184 = arith.cmpi eq, %v_183, %c2_i32_149 : i32 \n          %v_185 = arith.select %v_184, %c0_i32_146, %v_183 : i32 \n          %v_186 = arith.xori %arg47, %c1_i32_147 : i32 \n          %v_187 = arith.select %v_184, %v_186, %arg47 : i32 \n          %v_188 = ttg.memdesc_index %v_136[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %v_188, %v_187 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %v_189 = ttg.memdesc_index %v_137[%v_185] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %acc_190 = arith.xori %arg44, %c1_i32_147 : i32 \n          %acc_191 = ttg.memdesc_index %acc_126[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %acc_191, %acc_190 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_192 = ttg.memdesc_index %acc_125[%c0_i32_146] : !ttg.memdesc<1x128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> \n          %acc_193 = ttg.memdesc_index %acc_138[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %acc_193, %acc_190 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_194 = ttg.memdesc_index %acc_139[%c0_i32_146] : !ttg.memdesc<1x128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> \n          %acc_195 = ttg.memdesc_index %acc_140[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %acc_196 = ttg.memdesc_index %acc_127[%c0_i32_146] : !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %v_197 = ttg.memdesc_index %v_141[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.tc_gen5_mma %acc_194, %v_189, %acc_192, %true_145, %true_145, %acc_195[%true_145], %acc_196[%true_145], %v_197[%true_145] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.\n          %s_198 = arith.xori %s_180, %c1_i32_147 : i32 \n          %s_199 = arith.select %v_184, %s_198, %s_180 : i32 \n          %s_200 = ttg.memdesc_index %s_130[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_200, %s_199, %m_i_182 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_201 = ttg.memdesc_index %s_131[%v_185] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %s_202 = ttg.memdesc_trans %s_201 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> \n          %s_203 = ttg.memdesc_index %s_132[%m_i_177] : !ttg.memdesc<2x128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n          %s_204 = ttg.memdesc_index %s_134[%m_i_177] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_205 = ttg.memdesc_index %s_135[%v_185] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.tc_gen5_mma %q_133, %s_202, %s_203, %false, %m_i_182, %s_204[%m_i_182], %s_205[%m_i_182] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.m\n          %s_206 = arith.addi %m_i_177, %c1_i32_147 : i32 \n          %s_207 = arith.cmpi eq, %s_206, %c2_i32_149 : i32 \n          %s_208 = arith.select %s_207, %c0_i32_146, %s_206 : i32 \n          %s_209 = arith.xori %s_178, %c1_i32_147 : i32 \n          %s_210 = arith.select %s_207, %s_209, %s_178 : i32 \n          %s_211 = ttg.memdesc_index %s_142[%s_208] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_211, %s_210, %m_i_182 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_i_212 = arith.select %m_i_182, %s_208, %m_i_177 : i32 \n          scf.yield %m_i_212, %s_210, %acc_190, %v_185, %s_199, %v_187 : i32, i32, i32, i32, i32, i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n        %s_175 = ttg.memdesc_index %s_134[%m_i_174#0] [P2] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.tc_gen5_commit %s_175 [P2] : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttg.warp_return \n      }\n      partition2(%arg14: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(unknown), %arg15: !ttg.memdesc<1x128xf32, #shared1, #smem, mutable> loc(unknown), %arg16: !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> loc(u\n        %true_145 = arith.constant true \n        %c0_i32_146 = arith.constant 0 : i32 \n        %c1_i32_147 = arith.constant 1 : i32 \n        %c64_i32_148 = arith.constant 64 : i32 \n        %c2_i32_149 = arith.constant 2 : i32 \n        %c128_i32 = arith.constant 128 : i32 \n        %m_i_150 = arith.cmpi slt, %lo_128, %hi_129 : i32 \n        %s_151 = ttg.memdesc_index %s_135[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_151, %c1_i32_147, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_152 = ttg.memdesc_index %s_131[%c0_i32_146] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_153 = ttg.memdesc_index %s_130[%c0_i32_146] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.barrier_expect %s_153, 32768, %m_i_150 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.async_tma_copy_global_to_local %kd_143[%lo_128, %arg39] %s_152, %s_153, %m_i_150 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #sh\n        %m_i_154 = arith.addi %lo_128, %c64_i32_148 : i32 \n        %m_i_155 = arith.cmpi slt, %m_i_154, %hi_129 : i32 \n        %s_156 = ttg.memdesc_index %s_135[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.wait_barrier %s_156, %c1_i32_147, %m_i_155 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        %s_157 = ttg.memdesc_index %s_131[%c1_i32_147] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n        %s_158 = ttg.memdesc_index %s_130[%c1_i32_147] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.barrier_expect %s_158, 32768, %m_i_155 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n        ttng.async_tma_copy_global_to_local %kd_143[%m_i_154, %arg39] %s_157, %s_158, %m_i_155 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #s\n        %m_i_159:3 = scf.for %m_i_160 = %lo_128 to %hi_129 step %c64_i32_148 iter_args(%s_161 = %c1_i32_147, %s_162 = %c1_i32_147, %arg44 = %c0_i32_146) -> (i32, i32, i32)  : i32 {\n          %m_i_163 = arith.subi %hi_129, %c128_i32 : i32 \n          %m_i_164 = arith.cmpi slt, %m_i_160, %m_i_163 : i32 \n          %v_165 = arith.addi %s_161, %c1_i32_147 : i32 \n          %v_166 = arith.cmpi eq, %v_165, %c2_i32_149 : i32 \n          %v_167 = arith.select %v_166, %c0_i32_146, %v_165 : i32 \n          %v_168 = arith.xori %arg44, %c1_i32_147 : i32 \n          %v_169 = arith.select %v_166, %v_168, %arg44 : i32 \n          %v_170 = ttg.memdesc_index %v_141[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %v_170, %v_169 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %v_171 = ttg.memdesc_index %v_137[%v_167] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %v_172 = ttg.memdesc_index %v_136[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.barrier_expect %v_172, 32768, %true_145 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.async_tma_copy_global_to_local %vd_144[%m_i_160, %arg39] %v_171, %v_172, %true_145 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16,\n          %s_173 = arith.xori %s_162, %c1_i32_147 : i32 \n          %s_174 = arith.select %v_166, %s_173, %s_162 : i32 \n          %s_175 = ttg.memdesc_index %s_135[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.wait_barrier %s_175, %s_174, %m_i_164 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %s_176 = ttg.memdesc_index %s_131[%v_167] : !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> \n          %s_177 = ttg.memdesc_index %s_130[%v_167] : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          ttng.barrier_expect %s_177, 32768, %m_i_164 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n          %m_i_178 = arith.addi %m_i_160, %c128_i32 : i32 \n          ttng.async_tma_copy_global_to_local %kd_143[%m_i_178, %arg39] %s_176, %s_177, %m_i_164 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, \n          scf.yield %v_167, %s_174, %v_169 : i32, i32, i32 \n        } {tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32}","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01HVuLiQcNZvpWYSULRX4Yug","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":6,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3851db74-8999-4a9f-ada0-74b7d22737af"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":14,"estimated_tokens_delta":8,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1865c2e2-997c-4bce-812b-f66e742f7d79"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"71c696b5-83b9-477b-a69c-803fcd30eaec"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":26,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3fcdcef9-5dae-4ed1-bd6f-298796e007a0"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":30,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8ee3ce1c-5566-485f-8659-cdc213ed8c06"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":31,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"beda27ae-2344-4fe8-92dc-1ae73b7b58c8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":37,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"67bc695a-992b-4de3-a549-68857476b57e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":41,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"20c67974-c842-4637-b58a-e9adffabf559"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":44,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"71a4a004-fcb1-4f7c-bfd3-7780dbb41c34"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":48,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f3ad3d33-eea6-43d8-99d6-3b6ea1b10e90"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":51,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a788990d-95b0-43ce-ac3e-7d6d2e09d449"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":52,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a4bed290-fedd-4898-9b57-d2f5b0bf9b69"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":54,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c11583b8-e61a-4204-ae07-7bd6bd690499"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":58,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f436e23b-a7ee-4bc8-94df-09b4db704b0a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":59,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"557aa764-8da0-4f8b-891c-2f4ebde9a09e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":63,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"9d5b0f43-50c8-47d5-94b2-67156fdbc23c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":65,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"cdd9fdf6-004b-421c-a9a5-5b90b44b0cd7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":66,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"40573347-2293-4a7d-96b5-e152e538a019"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":67,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1c48cef5-22b2-4817-adef-a6cb961e7d6f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":68,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"864ae25c-b4b9-48b3-9137-502480e7cfbb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":74,"estimated_tokens_delta":6,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"742775c5-4c38-435e-b323-55a738e15c31"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":76,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8d0a1bb1-9cf3-4bf1-a42d-44998b9df6fa"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":78,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f9860830-ea98-4bfc-885a-b06329e0fc04"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":81,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"112a41c0-c471-4182-b86f-591117dd2cb6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":83,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"46061c5a-5338-44bf-86ee-de10559c59b9"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":86,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"5596231d-feda-44f6-877a-9df10f25ea22"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":88,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1c3e804d-e48d-4b60-9220-3dc7dea2e782"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":89,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"2dcfaa67-be66-4234-bf82-c509a5ff2aa5"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":94,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"dc0873c3-2ad1-4f69-86f1-3626a650231a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":96,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"32c126de-98ad-47c3-a180-246e10156edb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":104,"estimated_tokens_delta":8,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a4a5c4e9-bf88-4ad7-884f-e7022b971b06"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":109,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f390ff3d-1161-4c95-a350-6a71cc3650ef"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":113,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"745ea68e-892a-4289-b26d-447111971b14"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":120,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"902553da-5839-4b67-a079-43cf7889041c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":127,"estimated_tokens_delta":7,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"baac5808-12f7-4ddf-bc58-7b879066be6d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":129,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"09b94896-b863-464c-b21b-7f588f80c3b3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":134,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"38affcfa-cc4c-456c-bea1-1506385e85bf"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":138,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"30db9356-2d4f-47fd-bd02-6b3027dabba8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":140,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ad7a137f-d934-4ef9-a7a3-3ae9d76cef39"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":143,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4fa49903-8276-4a59-a045-76b474e37abf"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":145,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c2c9f6b6-7c90-4642-afef-11e389ef1b73"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":148,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"996dea35-a1dc-4ef1-ba6b-03b5712e06a7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":151,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"103da13e-3e6b-47ee-8238-69714e5fcc06"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":155,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"6af6fcdc-9eb6-4c55-9ad9-6c13b91ae1b4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":159,"estimated_tokens_delta":4,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"05a630d1-47cd-4508-850d-d806cc336530"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":164,"estimated_tokens_delta":5,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"feda2238-8c0c-46e4-83c9-8ac4b39184ec"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":167,"estimated_tokens_delta":3,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"425502b0-e01d-4d5a-a6d7-ffa12ab03d05"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":169,"estimated_tokens_delta":2,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d4711a4a-3164-4c91-94b5-4e1775e6dcc5"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gWY1nEqgo9MUxPT4g2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm looking at the warp partition structure: a default softmax partition reading S from TMEM and writing P back in bf16, and a correction partition handling the 128×256 fp32 accumulator, scaling it by alpha with limited register budget—so it likely needs to tile the load/store rather than hold everything at once.\n\nThe bigger problem I'm spotting is the serialization chain in the MMA loop: PV MMA for iteration j waits on correction and P being ready, and QK for j+1 only gets issued after that PV MMA, which forces softmax(j+1) to wait on QK(j+1), correction(j+1) to wait on softmax(j+1), and so on—so there's no real overlap between the softmax computation and the MMA issue across iterations.\n\nAlthough S is double-buffered which would theoretically allow QK(j+1) to issue earlier, the generated schedule issues PV(j) before QK(j+1), so the tensor core sits idle during softmax/correction and the softmax units sit idle during the MMAs. This sequential pattern is clearly throttling throughput, and I'm thinking about how FA4 solves this with ping-ponging between two Q tiles per CTA so softmax of one tile overlaps MMA of the other—similar to what Triton's Blackwell attention tutorial does.\n\nWith D=256, I'm now wondering whether TMEM can even hold two 128×256 O accumulators simultaneously, since that would consume all 512 columns, which pushes me toward considering splitting BLOCK_M into 64-row sub-tiles to free up accumulator space.\n\nI'm also considering whether manually reordering the MMA issue order—computing the next QK dot product before finishing the current PV—could help pipeline the two operations more effectively, sketching out a restructured loop to test this.\n\nSo the overlap pattern actually pipelines continuously: QK(j+1) executes on tensor cores while softmax(j) runs, then PV(j) executes while softmax(j+1) begins, letting the softmax partition proceed back-to-back across iterations. This does mean S needs double-buffering since softmax(j) must read its values into registers before QK(j+1) overwrites that buffer.\n\nI'm now working through the TMEM budget — O takes 256, S takes 2×BN, and P packed at BN=64 adds up to roughly 448 columns, which fits.\n\nThere's also a correction step: acc must be scaled by alpha between PV(j-1) finishing and PV(j) starting, which means correction(j) has to wait on both PV(j-1) completing and alpha(j) being ready from softmax(j), so the tensor core actually stalls briefly after QK(j+1) until correction(j) finishes before it can issue PV(j).\n\nMoving that correction of a 128×256 fp32 tile through TMEM is costly since it requires a full load, multiply, and store, and I don't have exact TMEM bandwidth numbers, but I recall FA4 addresses this by doing the correction in a separate warpgroup and using a conditional rescaling trick that skips correction when the running max barely changes, cutting that work by roughly 90%. So the restructuring plan is to issue QK(j+1) ahead of PV to hide this latency.\n\nFor the conditional rescaling, I'm working out that it needs to be a block-wide condition since the TMEM load/store applies to the whole tile even though softmax rows are independent — so I'd compute whether the max increase across the entire tile exceeds a threshold, and only then compute and apply the alpha correction factor to the accumulator.\n\nI'm reasoning that since bf16 has enough exponent range, values like p up to 256 from this deferred correction scheme are fine for accuracy, and the edge case where m_i starts at -infinity resolves naturally since acc starts at zero anyway.\n\nThinking about how often rescaling would actually trigger: for normally distributed scores, the max tends to grow slowly across blocks of keys, so after the initial block rescales become rare, though adversarial score patterns could force rescaling every iteration without breaking correctness. Now I'm curious how the scalar conditional branch behaves under Triton's warp specialization, since the condition gets computed in the softmax partition.\n\nI'm reconsidering how FA4 handles hd256 on SM100 with 2 CTAs — since TMEM can't hold two O buffers for ping-ponging full Q tiles, the overlap instead comes from double-buffering the S tile itself, letting QK for the next block overlap with softmax/correction on the current one.\n\nI'm now estimating the instruction cost per iteration: QK and PV matmuls each take roughly 1024 tensor-core cycles, while softmax over 16384 elements per CTA needs several hundred scalar instructions per thread (FFMA, MUFU, FADD, packed F2F, FMNMX, plus TMEM traffic), so I'm working out whether the warp scheduler can issue this fast enough to stay hidden behind the matmul latency.\n\nThis matches a GEMM's worth of cycles, so softmax should overlap with the tensor core pipeline if scheduled well, and FA4 offloads some exp2 work to FMA units via polynomial approximation. For Triton I'm mapping out the target pipeline: tensor cores doing QK and PV back-to-back while softmax warps process the previous iteration, tracing through the dependency chain around the double-buffered S tensor to make sure each stage only proceeds once its buffer is actually free.\n\nWorking through the steady-state timeline, softmax(j) has plenty of slack since it overlaps PV(j-1) and QK(j+1), roughly 2048 cycles of tensor core time, but correction(j) is tighter since it can't start until PV(j-1) finishes and softmax(j) produces alpha(j).\n\nNow I'm sketching the Triton warp-specialized loop structure, where the source order of operations in the program determines MMA issue order -- writing the prologue and loop body to interleave QK(j+1) with the softmax and PV pipeline stages.\n\nBut I realize there's a boundary issue: the final iteration would try to issue QK(j+1) for a block that doesn't exist, so I need to guard against out-of-range loads since TMA zero-fills OOB regions.\n\nI'm also wondering if Triton's pipeliner can automatically reorder the dot ops across iterations under warp specialization, but the current output doesn't show that reordering happening, so I may need to manually restructure the loop with the conditional rescale myself.\n\nI'm also considering how `s = s_next` carried across iterations gets handled — whether it stays in TMEM across loop boundaries or gets forced into registers, since the former is needed for good performance with warp specialization. Another option worth testing is splitting the tile into two independent 64-row halves with separate softmax partitions to see if that's easier for the compiler to pipeline well.\n\nI'm also checking whether Triton's TMEM layout for a 64-row accumulator wastes half the lanes, which would blow the memory budget, versus restructuring the loop with BN=128 and single-stage K/V buffering to fit within SMEM limits.\n\nAdding up the S and P buffer sizes with bf16 packing still pushes past the 512-column TMEM budget for BN=128, even considering whether P aliases S instead of allocating separately. Dropping to BN=64 with double-buffered S brings the total down to something that actually fits, so that seems like the right path forward.\n\nChecking the memory bandwidth at BN=64, the QK^T matmul needs to pull 96KB from shared memory per iteration while PV needs 32KB, plus 64KB for TMA writes, totaling 192KB per iteration. At 128 bytes/clock that's 1536 cycles against the tensor core's 1024 cycles at peak, meaning I'm looking at roughly two-thirds of peak throughput if shared memory bandwidth is the bottleneck.\n\nThat lands around 1.5-1.6 PFLOPS, close to expert territory but unlikely to be achievable in practice. I'm also considering whether Q could be promoted to TMEM as the A operand in the matmul, similar to how P gets promoted — checking whether the compiler would do this automatically when Q is loaded into registers and used as the LHS of the dot product inside the loop.\n\nLooking at the IR, Q actually ends up allocated to shared memory rather than TMEM, so the promotion pass likely only targets values defined inside the loop. I'm also noting that TMEM budget would be tight anyway — Q plus O plus S plus P would overflow the 512-column limit, so this path doesn't look viable. Separately, I'm weighing whether to skip the online softmax rescaling by precomputing a cheap upper bound on the row max via Cauchy-Schwarz, but that bound could be too loose and risk underflow issues.\n\nWith outliers 80x larger though, the bound could blow out to around 1300 in log units, which would underflow completely — not robust. A two-pass exact-max approach would cost 50% more matmul work, so that's out. Conditional rescaling, like FA4 uses, seems like the right path — I'm now working out how to restructure the loop so QK for the next block is issued before the softmax of the current one.\n\nWriting conditional rescale logic...\n\nBut I realize there's an edge case: when a row is fully masked and both m_i and m_new are -inf, the difference becomes NaN, and max's NaN-handling behavior means these rows get skipped incorrectly, producing NaN probabilities downstream. I need to guard against this degenerate case explicitly.\n\nFor rows with no valid keys, p correctly evaluates to zero, and the NaN cases in the rescale check naturally resolve to no rescale since those rows have nothing to update yet. Checking the threshold of 8 for safety: p maxes at 256, which stays safe in bf16, and both the running sum and accumulator stay well within fp32 range even at full sequence length.\n\nOne more subtlety is that the tile-wide rescale condition means if any row triggers a rescale, all rows get updated with their own alpha factor — which is harmless since rows that didn't actually need rescaling just get alpha ≈ 1. At the end, the output and log-sum-exp are computed from the accumulator, running sum, and running max, but the rescale decision itself is a scalar that has to be communicated across partitions in the warp-specialized implementation, which raises questions about how the compiler handles that cross-partition dependency.\n\nI'll just try it empirically rather than reasoning further, keeping the mask condition inside the loop as-is. I'm now restructuring the attention kernel's inner loop using Triton's warp-specialized range construct, writing a helper function that loads K, computes the QK dot product, and carries the accumulator through the loop...\n\nWriting kernel loop code...\n\nThe one wasted extra QK computation at the final boundary block is negligible—roughly a quarter percent of total work per CTA—so I'm not worried about it. I'm now double-checking whether TMA out-of-bounds loads are handled correctly given the per-batch descriptor shape when the block extends past the sequence length.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":15928,"cache_read_input_tokens":91412,"cache_creation":{"ephemeral_5m_input_tokens":15928,"ephemeral_1h_input_tokens":0},"output_tokens":5,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"6c9a77cb-f882-4b6c-89d6-48eee6177b0d","timestamp":"2026-10-17T23:33:43.638Z","request_id":"req_011Cg8gWXdiLVbYvrHTo9va1","thinking_duration_ms":90248,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gWY1nEqgo9MUxPT4g2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"v1 passes all correctness checks but only hits ~0.12× expert speed (~187 TFLOPS) due to the compiler serializing QK(j+1) behind softmax(j) and rescaling O every iteration, leaving tensor cores idle. I've saved it as a fallback and will now restructure the loop to issue QK(j+1) before PV(j) and skip O rescaling unless the running max jumps by more than 2^8.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":15928,"cache_read_input_tokens":91412,"cache_creation":{"ephemeral_5m_input_tokens":15928,"ephemeral_1h_input_tokens":0},"output_tokens":5,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0d85bf27-4a08-4bd1-9089-07bda3592dfe","timestamp":"2026-10-17T23:33:43.642Z","request_id":"req_011Cg8gWXdiLVbYvrHTo9va1","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gWY1nEqgo9MUxPT4g2","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XEo6aWsmN9nETCN34HkVJt","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v1.py').read()\nold_loop = s[s.index('@triton.jit\\ndef _attn_loop'):s.index('@triton.jit\\ndef _attn_fwd')]\nnew_loop = '''@triton.jit\ndef _attn_loop(acc, l_i, m_i, q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos,\n               BN: tl.constexpr, WS: tl.constexpr):\n    offs_n = tl.arange(0, BN)\n    k = k_desc.load([krow + lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([krow + n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n        need = tl.max(m_new - m_i, 0) > 8.0\n        if need:\n            alpha = tl.math.exp2(m_i - m_new)\n            acc = acc * alpha[:, None]\n            l_i = l_i * alpha\n            m_i = m_new\n        m_use = tl.where(m_i == -float('inf'), 0.0, m_i)\n        p = tl.math.exp2(s * qk_scale - m_use[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([krow + n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_next\n    return acc, l_i, m_i\n\n\n'''\ns = s.replace(old_loop, new_loop)\nopen('v2.py', 'w').write(s)\nEOF\nBN=64 ST=2 python dump.py v2.py 2>&1 | tail -3; grep -n \"requestedRegisters\" /tmp/k.ttgir | grep -o \"requestedRegisters = [^}]*\"; grep -c \"ld.local\\|st.local\" /tmp/k.ptx","description":"Create v2 with reordered QK and conditional rescale"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":15928,"cache_read_input_tokens":91412,"cache_creation":{"ephemeral_5m_input_tokens":15928,"ephemeral_1h_input_tokens":0},"output_tokens":5,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4e2e9c7e-e6bf-4cf1-9038-dcef96789943","timestamp":"2026-10-17T23:33:47.638Z","request_id":"req_011Cg8gWXdiLVbYvrHTo9va1"}
{"type":"system","subtype":"task_started","task_id":"bixtmw0xj","run_id":"0mvd196f8-ba728977","tool_use_id":"toolu_01XEo6aWsmN9nETCN34HkVJt","description":"Create v2 with reordered QK and conditional rescale","is_backgrounded":false,"task_type":"local_bash","uuid":"a4abcbb9-4830-4997-b585-d92fad6c5845","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bixtmw0xj","run_id":"0mvd196f8-ba728977","tool_use_id":"toolu_01XEo6aWsmN9nETCN34HkVJt","status":"completed","output_file":"","summary":"Create v2 with reordered QK and conditional rescale","uuid":"915399bd-db5f-472c-a50f-c9a6b01a1e82","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XEo6aWsmN9nETCN34HkVJt","type":"tool_result","content":"/workspace/dev/v2.py:46:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2.py:46:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `TritonGPUPartitionScheduling` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nERR PassManager::run failed\nrequestedRegisters = array<i32: 88, 24, 24>\n0","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"7cdc0e44-5df8-47ce-8f10-92a61e9c66a4","timestamp":"2026-10-17T23:33:52.174Z","tool_use_result":{"stdout":"/workspace/dev/v2.py:46:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2.py:46:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `TritonGPUPartitionScheduling` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nERR PassManager::run failed\nrequestedRegisters = array<i32: 88, 24, 24>\n0","stderr":"","interrupted":false,"isImage":false,"returnCodeInterpretation":"No matches found","noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XEo6aWsmN9nETCN34HkVJt","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ge8hYbamMJmU9TaJaF","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The WS partition scheduling failed, so I want to look more closely at the error from the reproducer output, checking the full stderr head.\n\n","signature":"CAQShQcKEAgSGAI4AUIIdGhpbmtpbmcSDPaKgJ9kfL5RKEnjYxoMGHOV1fLB1GICJ4hWIjC8mA7sw+2jH2JbDNveUamAKjjuojT5LYcfYD6LXIXroquFlpLdVwlZk9sOaOSDDa8qogaCH08pr9CS4vh2PR0xdxpTPg/w8DaJEoVsgKIht/mRAXrUphDa/Jg5hJwYbw+6BypS+CL+XVuO5DWWi7tYcmjcIcjEqGPk/wCx6zMbWlFaYwXY6MfY9cTRwZYUbt8RRW+SEFq+fzOHOno/8bnj9suzscVkTqr+FzhGWRRvjHLg9GtdxELLEmw8plmeLMYXZIW7nZ+ZBbUDNzTrXs4L8GTmQ7IdYKa/nxuc0xNLfDOB+ttD/zWs1P0o7IGSGWYWSLDI9l1spUYa1a5LX+k4MRVDwxqmsq8om4mnT0IDnkniYwxWOlvqhhr9sZz6nkEOTustLokqm0lEXX8ZpykzaESly9DWqgQ06eXdXB0piv3OBPDJIbdsHbhhmVHAv7fioqwz8Cw5DywN+epWF6dvL+bIx8WKyeIlnMs0uXBwgduHipL0TGIwtQTbIHJI6Ymeet2/g2984VuI5Y24JhmFeAvqXkVzfmlL45f5nfkzIn7yxRZXS6+2mtz4vGJWwNiCRF0HfJbAv7s3M8aCTd+iv9b03iO1t/R623R4OpkDET2/LISzsY5NcKKUlcMuQ4o52Zls6XTvHdzkhZw7IQ4FI0m/O1adCrJ/0d/t06rtjELqMycdyZIglwbLftcUdc9C7n0jU35vN8CSm/MvxJ7YgxjbZT/Bj2BeJWWjbkm+jTRGykywgzzC3Apa5ekBwJ2+whtSI+CXR1vSaJssN9Q6wQNi2gCcqiaaHwOmKXt4YzQzCVOJXbdH6f4EWTIAwPJr2ej20N6orlk8xvhXCrQpPQWzCaxNDcKBwIyuxZwg9Zo7mnHutetqBn+FElOeaVU3EGe4KMo6Ok+jJj9RLQjuyZanXrCdgr3X07+1pWloBJJPZ9HHL6upBYRBUr7GefmX69XRKsiL1fNrkP2K/m/sXbBc5MXT7o/1KfjcvchrjVFrnlXGYa/+kklx5kfWtZCGw+VhWW0SDZJCvB+i4LW4qU3W8gz2xt7CNYNqnLLU3sUVNE/ApjfyGwhVVE1NEMQjmLAKWvwsQPgvclE8SC2bhEoi4F1/1jVqjIx8EZxseMTL3iYvGAE="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":10532,"cache_read_input_tokens":107340,"cache_creation":{"ephemeral_5m_input_tokens":10532,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"bfd779df-fd3b-423d-ad07-d8e16e30c3a0","timestamp":"2026-10-17T23:33:58.130Z","request_id":"req_011Cg8ge8Lis2iuq6Dm4bWTh","thinking_duration_ms":1419,"thinking_display":"summarized"}
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{"type":"system","subtype":"task_started","task_id":"bqprcngyi","run_id":"0mvd19ejy-d9ce8039","tool_use_id":"toolu_018iHaFuJmmF5HHztf6TUtCb","description":"Show WS partition scheduling error details","is_backgrounded":false,"task_type":"local_bash","uuid":"1f3f4c8e-209f-44e7-b34d-40fcd28c9cdf","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bqprcngyi","run_id":"0mvd19ejy-d9ce8039","tool_use_id":"toolu_018iHaFuJmmF5HHztf6TUtCb","status":"completed","output_file":"","summary":"Show WS partition scheduling error details","uuid":"397c1f7a-fc4a-4ce2-abb0-0aa8599a2d23","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_018iHaFuJmmF5HHztf6TUtCb","type":"tool_result","content":"/workspace/dev/v2.py:31:11: error: 'scf.if' op partition ids in attr \"ttg.partition\" does not contain partition ids of all child ops\n        if need:\n/workspace/dev/v2.py:82:105: note: called from\n        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, lo, mid, hi, qk_scale, qpos, BN, WS)\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n    scf.for %arg13 = %27 to %30 step %c1_i32  : i32 {\n          scf.yield %147 : tensor<128x64xf32>\n          scf.yield %arg18 : tensor<128x64xf32>\n          tt.reduce.return %140 : f32\n          tt.reduce.return %140 : f32\n          scf.yield %144, %145 : tensor<128x256xf32>, tensor<128xf32>\n          scf.yield %arg15, %arg16 : tensor<128x256xf32>, tensor<128xf32>\n          tt.reduce.return %140 : f32\n        scf.yield %139, %136, %125, %115 : tensor<128x256xf32>, tensor<128xf32>, tensor<128xf32>, tensor<128x64xf32>\n      tt.store %108, %85 : tensor<128x256x!tt.ptr<f32>>\n      tt.store %111, %88 : tensor<128x!tt.ptr<f32>>\n    tt.return\n\n{-#\n  external_resources: {\n    mlir_reproducer: {\n      pipeline: \"builtin.module(convert-triton-to-tritongpu{enable-source-remat=false num-ctas=1 num-warps=4 target=cuda:103 threads-per-warp=32}, tritongpu-coalesce, tritongpu-F32DotTC{emu-tf32=true}, triton-nvidia-gpu-plan-cta, tritongpu-remove-layout-conversions, tritongpu-optimize-thread-locality, tritongpu-accelerate-matmul, tritongpu-remove-layout-conversions, tritongpu-optimize-dot-operands{hoist-layout-conversion=true}, triton-nvidia-optimize-descriptor-encoding, triton-loop-aware-cse, tritongpu-fuse-nested-loops, canonicalize{  max-iterations=10 max-num-rewrites=-1 region-simplify=normal test-convergence=false top-down=true}, triton-licm, tritongpu-optimize-accumulator-init, tritongpu-hoist-tmem-alloc{hoist-out-of-if=false}, tritongpu-promote-lhs-to-tmem, tritongpu-assign-latencies{num-stages=2}, tritongpu-schedule-loops, tritongpu-automatic-warp-specialization{num-stages=2}, tritongpu-pipeline{dump-intermediate-steps=false num-stages=2}, tritongpu-optimize-partition-warps, tritongpu-combine-tensor-select-and-if, tritongpu-hoist-tmem-alloc{hoist-out-of-if=true}, triton-nvidia-gpu-remove-tmem-tokens, canonicalize{  max-iterations=10 max-num-rewrites=-1 region-simplify=normal test-convergence=false top-down=true}, triton-loop-aware-cse, tritongpu-prefetch, tritongpu-optimize-dot-operands{hoist-layout-conversion=true}, tritongpu-coalesce-async-copy, triton-nvidia-optimize-tmem-layouts, triton-nvidia-tma-lowering, tritongpu-remove-layout-conversions, triton-nvidia-interleave-tmem, tritongpu-reduce-data-duplication, tritongpu-reorder-instructions, triton-loop-aware-cse, symbol-dce, triton-nvidia-gpu-fence-insertion{compute-capability=103}, triton-nvidia-mma-lowering, sccp, cse, canonicalize{  max-iterations=10 max-num-rewrites=-1 region-simplify=normal test-convergence=false top-down=true})\",\n      disable_threading: true,\n      verify_each: true\n#-}\n/workspace/dev/v2.py:46:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2.py:46:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `TritonGPUPartitionScheduling` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nERR PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"17eac958-e642-4d96-8231-de851811ca91","timestamp":"2026-10-17T23:34:02.878Z","tool_use_result":{"stdout":"/workspace/dev/v2.py:31:11: error: 'scf.if' op partition ids in attr \"ttg.partition\" does not contain partition ids of all child ops\n        if need:\n/workspace/dev/v2.py:82:105: note: called from\n        acc, l_i, m_i = _attn_loop(acc, l_i, m_i, q, kd, vd, 0, hk * D, lo, mid, hi, qk_scale, qpos, BN, WS)\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n    scf.for %arg13 = %27 to %30 step %c1_i32  : i32 {\n          scf.yield %147 : tensor<128x64xf32>\n          scf.yield %arg18 : tensor<128x64xf32>\n          tt.reduce.return %140 : f32\n          tt.reduce.return %140 : f32\n          scf.yield %144, %145 : tensor<128x256xf32>, tensor<128xf32>\n          scf.yield %arg15, %arg16 : tensor<128x256xf32>, tensor<128xf32>\n          tt.reduce.return %140 : f32\n        scf.yield %139, %136, %125, %115 : tensor<128x256xf32>, tensor<128xf32>, tensor<128xf32>, tensor<128x64xf32>\n      tt.store %108, %85 : tensor<128x256x!tt.ptr<f32>>\n      tt.store %111, %88 : tensor<128x!tt.ptr<f32>>\n    tt.return\n\n{-#\n  external_resources: {\n    mlir_reproducer: {\n      pipeline: \"builtin.module(convert-triton-to-tritongpu{enable-source-remat=false num-ctas=1 num-warps=4 target=cuda:103 threads-per-warp=32}, tritongpu-coalesce, tritongpu-F32DotTC{emu-tf32=true}, triton-nvidia-gpu-plan-cta, tritongpu-remove-layout-conversions, tritongpu-optimize-thread-locality, tritongpu-accelerate-matmul, tritongpu-remove-layout-conversions, tritongpu-optimize-dot-operands{hoist-layout-conversion=true}, triton-nvidia-optimize-descriptor-encoding, triton-loop-aware-cse, tritongpu-fuse-nested-loops, canonicalize{  max-iterations=10 max-num-rewrites=-1 region-simplify=normal test-convergence=false top-down=true}, triton-licm, tritongpu-optimize-accumulator-init, tritongpu-hoist-tmem-alloc{hoist-out-of-if=false}, tritongpu-promote-lhs-to-tmem, tritongpu-assign-latencies{num-stages=2}, tritongpu-schedule-loops, tritongpu-automatic-warp-specialization{num-stages=2}, tritongpu-pipeline{dump-intermediate-steps=false num-stages=2}, tritongpu-optimize-partition-warps, tritongpu-combine-tensor-select-and-if, tritongpu-hoist-tmem-alloc{hoist-out-of-if=true}, triton-nvidia-gpu-remove-tmem-tokens, canonicalize{  max-iterations=10 max-num-rewrites=-1 region-simplify=normal test-convergence=false top-down=true}, triton-loop-aware-cse, tritongpu-prefetch, tritongpu-optimize-dot-operands{hoist-layout-conversion=true}, tritongpu-coalesce-async-copy, triton-nvidia-optimize-tmem-layouts, triton-nvidia-tma-lowering, tritongpu-remove-layout-conversions, triton-nvidia-interleave-tmem, tritongpu-reduce-data-duplication, tritongpu-reorder-instructions, triton-loop-aware-cse, symbol-dce, triton-nvidia-gpu-fence-insertion{compute-capability=103}, triton-nvidia-mma-lowering, sccp, cse, canonicalize{  max-iterations=10 max-num-rewrites=-1 region-simplify=normal test-convergence=false top-down=true})\",\n      disable_threading: true,\n      verify_each: true\n#-}\n/workspace/dev/v2.py:46:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2.py:46:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `TritonGPUPartitionScheduling` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nERR PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_018iHaFuJmmF5HHztf6TUtCb","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gfs8V6qjaj1UMJGoGt","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"This still fails—the partitioner seems unable to handle scf.if with tensor ops on the accumulator, so the conditional and the TMEM load/store ops end up on different partitions. I'm wondering if I should avoid scf.if entirely and do the rescale unconditionally despite the cost, or find a way to make the rescale happen lazily instead.\n\nActually, the key constraint is that tcgen05 MMA can't scale the accumulator mid-flight, so the rescale has to happen as a separate step. One option: pick a reference max m_ref per row conservatively so rescales are rarely needed, and detect rare overflow cases via a flag that triggers a fallback two-pass recompute outside the main warp-specialized loop, where branching is actually fine since it's outside the hot path.\n\nSince bf16/fp32 maintain constant relative precision regardless of magnitude, the only real risk from using a fixed m_ref is overflow to infinity, not precision loss. With fp32's wide exponent range, that gives a large safety margin before rescaling is ever actually necessary.\n\nBut adversarial inputs with huge scale differences between blocks could cause real overflow, so I need a fallback: detect the risk and correct for it. One cheap approach is checking at the end whether the accumulated sum or output contains inf/NaN and recomputing in that case, rather than always tracking per-block rowmax which costs an extra op per element.\n\nI'm sketching the fast path, computing exponentials relative to a fixed reference max, accumulating sums and tracking the true rowmax separately, then after the loop checking whether the true max exceeds the reference by too much and triggering a slow, safe recompute only when necessary.\n\nFor underflow, as long as m_ref is at or below the true row max, any key whose contribution underflows to zero is genuinely negligible relative to the dominant key, so correctness holds—the key requirement is just that m_ref never exceeds the true max for that row's key range.\n\nSetting m_ref to the row max of the first block in the CTA's range satisfies this since it's a max over a subset, but it breaks down for fully-masked rows where that first block is all -inf, producing m_ref = -inf and blowing up the exponent to infinity. I need to special-case that: if m_ref comes out as -inf, clamp it to 0, and then verify that for such rows—where the query position falls before the first block even starts—every later block is also masked, so the softmax numerator correctly collapses to zero.\n\nBut I'm now worried about cases where the first block has valid keys but a much lower score scale than later blocks, since adversarial score distributions with wildly different magnitudes across keys could make the true max diverge a lot from m_ref, triggering the fallback path. I need the fallback to handle this correctly, and its performance only matters based on how often these hidden adversarial distributions—outliers, extreme scales, sparse or heavy-tailed inputs—actually trigger it.\n\nTiming is likely done on standard normal distributions, so the fallback mainly needs to avoid catastrophic slowness rather than be fast overall. I'm now thinking about why the WS partitioner rejects scf.if spanning multiple partitions, and wondering if there's a way to update m_ref safely per block without requiring a full rescale of the accumulator every time.\n\nI'm also estimating the actual cost of an unconditional rescale: the correction partition would need to load, multiply, and store the full 128×256 fp32 tile from TMEM each iteration, and I'm trying to work out the TMEM bandwidth per SM to see if that's actually cheap enough to just always do unconditionally.\n\nThe FA4 paper mentions conditional rescaling skips most corrections since they're expensive, but I don't recall exact numbers. The fastest path to an answer is just running quick experiments — measure unconditional rescale with early-issued QK against a no-rescale variant to establish the theoretical speed ceiling.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1112,"cache_read_input_tokens":120046,"cache_creation":{"ephemeral_5m_input_tokens":1112,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"7e5fdb07-81b0-47ce-8680-8779db88c657","timestamp":"2026-10-17T23:34:53.929Z","request_id":"req_011Cg8gfrneMXCG8FVTmWgR4","thinking_duration_ms":36247,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gfs8V6qjaj1UMJGoGt","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01BdyivCdqgT372s29qgCm2m","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v2.py').read()\nold = s[s.index('        m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)'):s.index('        v = v_desc.load([krow + n0, kcol])')]\nnew_a = '''        m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n        m_use = tl.where(m_new == -float('inf'), 0.0, m_new)\n        alpha = tl.math.exp2(m_i - m_use)\n        p = tl.math.exp2(s * qk_scale - m_use[:, None])\n        l_i = l_i * alpha + tl.sum(p, 1)\n        acc = acc * alpha[:, None]\n        m_i = m_new\n'''\nnew_b = '''        m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n        m_use = tl.where(m_new == -float('inf'), 0.0, m_new)\n        p = tl.math.exp2(s * qk_scale - m_use[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        m_i = m_new\n'''\nopen('v2a.py', 'w').write(s.replace(old, new_a))\nopen('v2b.py', 'w').write(s.replace(old, new_b))\nEOF\nfor f in v2a v2b; do echo \"== $f\"; BN=64 ST=2 python dump.py $f.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | head -3; grep -o \"requestedRegisters = [^}]*\" /tmp/k.ttgir; BN=64 ST=2 timeout 600 python bench.py $f.py --quick 2>&1 | tail -6; done","description":"Test reordered loop with/without rescale"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1112,"cache_read_input_tokens":120046,"cache_creation":{"ephemeral_5m_input_tokens":1112,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"53ee6948-2da7-4bbd-9835-2277dc979e78","timestamp":"2026-10-17T23:34:56.536Z","request_id":"req_011Cg8gfrneMXCG8FVTmWgR4"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gkdN8i8rtDhf8xysg2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Without the rescale step, performance jumps to 1400-1500 TFLOPS, nearly matching the expert implementation — confirming the rescale correction is the real bottleneck causing an 8x slowdown. This means removing rescale from the inner loop is essential; a fixed-reference approach with a fallback path works correctly as long as overflow doesn't occur, unlike v2b which incorrectly uses a changing m_new without proper rescaling.\n\nI'm now sketching a v3 plan: compute m_ref once before the loop using the first QK block's rowmax (scaled and masked appropriately), then keep it fixed throughout the loop rather than recomputing it each iteration. The remaining question is how to detect overflow — either by tracking a running max per element for comparison, or by checking afterward whether l_i or the accumulator has become inf/NaN, though I need to think through whether large-but-finite values could still cause the PV accumulation to silently overflow.\n\nI'm thinking the fallback threshold should trigger when l_i exceeds something like 2^40 or becomes non-finite, since that bounds the accumulated value safely even for fairly large input magnitudes. I should also double-check that converting p to bf16 keeps a consistent relative error regardless of scale, so precision shouldn't degrade unexpectedly for large p values.\n\nSince m_ref is derived as the max over a prefix of keys, the true row max is always at least as large, meaning the largest probability ratio in the row stays at or above 1 -- so any underflowing keys contribute negligibly to the final weighted sum and can be safely ignored.\n\nFor detecting overflow, I can reuse the already-computed row sum l_i rather than tracking a separate max value: since every p term is finite whenever the max-reference is finite, a fast-path row is valid only if l_i stays finite and below some threshold. If l_i becomes infinite (from an overflowed p term) or NaN (from inf times a zero value), that signals the row needs to fall back to the safe path. Masked positions with -infinity scores naturally produce zero probability under this scheme, so they don't cause issues.\n\nNow I'm thinking through the fallback mechanism itself — rerunning the tile with the standard unconditional-rescale online softmax when overflow is detected, triggered by checking if any row's l_i exceeds the threshold or isn't finite. I'm weighing whether this fallback loop should be warp-specialized or not, and worrying about TMEM budget conflicts if both the main loop and fallback loop allocate separate accumulator buffers simultaneously, which could exceed the 512-column limit like a previous masked-loop issue.\n\nActually, maybe a cleaner approach is splitting this into two kernel launches — the main kernel flags overflowing tiles, then a second fixup kernel reprocesses only those with the robust algorithm, though that adds a few microseconds per launch even when most tiles exit early. I'm now considering a better alternative: just rerun the same fast loop but seeded with an improved m_ref computed from the first pass's actual max.\n\nI'm sketching this as an outer while-loop that retries the fast loop only if overflow is detected, using the exact row max from the first attempt to guarantee no overflow on the retry.\n\nBut I'm worried Triton's warp-specialization pass may not handle a WS loop nested inside a while loop well. An alternative is a fixed two-iteration for-loop where the second iteration's bounds collapse to zero work when no retry is needed, effectively skipping it without introducing control-flow the WS pass can't handle.\n\nRather than reworking the outer per-head loop, I'm thinking about estimating the overflow cheaply using the rowmax already computed each iteration — since v2b's throughput numbers already account for that cost, I can reuse it: compute m_ref from the first block, track m_max, and check if the scaled gap between them exceeds a threshold to decide whether a second pass is needed.\n\nIf it's needed, I rerun with m_ref = m_max*scale, which guarantees correctness since the resulting probability is bounded by 1; this is a rare penalty path for outlier inputs only, since the subset max can never exceed the true max. Now I'm working out what threshold value keeps the accumulated sum and output within safe numeric bounds given the max key count and value magnitudes.\n\nWith a large threshold like 64, extreme value magnitudes (like 1e30) could still blow past overflow limits even though such values alone are representable in bf16, so I should pick a much smaller threshold like 16 to keep the accumulated sum safely bounded.\n\nThinking about what threshold minimizes unnecessary retries for typical normal-distributed data, I estimate the gap between the true max and the reference max across a realistic number of blocks comes out to roughly 2.2 log2 units, which is a moderate margin even accounting for heavier-tailed distributions.\n\nI settle on THRESH around 20 in log2 units, giving p ≤ 2^20 and l ≤ 2^37, with overflow only occurring for extremely large values beyond 2^90 — safe even accounting for shifted-mean inputs where common components cancel out across keys in a row. I also note the choice of reference max (first-block vs something more stable) doesn't materially matter, then shift to thinking about the epilogue logic for writing lse and output after partial accumulation.\n\nNow I sketch the retry structure: compute an initial prologue score block, derive a reference max from it, run the fast accumulation loop, then check if the true max exceeds the reference by more than THRESH — if so, redo the loop with a corrected reference. I'm weighing whether this second loop, running inside a conditional branch, can share TMEM allocation with the first loop or whether the compiler will double the memory footprint.\n\nRecalling a previous TMEM overflow (576 columns) when combining a warp-specialized loop with a masked non-WS loop, I suspect the accumulator buffers from each loop aren't being aliased since their lifetimes may appear to overlap to the allocator even though they execute sequentially. I'm trying to reconcile the exact column counts that led to that overflow to understand which buffers are colliding.\n\nThinking about an alternative design using a single loop body run twice via a dynamic-bounds attempt loop, where the second attempt's bounds collapse to zero iterations if the first attempt already succeeded—but this gets messy because the accumulator and running sum need to persist across attempts, and the wasted prologue work for skipped attempts seems costly. I'm leaning toward a simpler approach that sidesteps this complexity entirely.\n\nThe fixup kernel's launch overhead is tiny—maybe 2-3 us for the trivial case where all CTAs exit immediately—costing under 1% of total runtime, which feels acceptable though not ideal. I'm also wondering whether this fixup logic could instead be fused into the combine kernel itself, though the differing grid/warp configurations make that awkward.\n\nThat approach risks bloating the combine kernel's register and shared memory footprint, slowing down the common case. I think the better path is trying an in-kernel retry: adding a conditional branch with a second loop instance to see if TMEM allocation can be shared between the two loops by the compiler. I also want to revisit whether the reordered QK-next loop structure is actually necessary, or whether the original ordering without rescaling might perform just as well—worth testing both. Starting to sketch out a third version with a prologue step and a fast loop path.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4680,"cache_read_input_tokens":121158,"cache_creation":{"ephemeral_5m_input_tokens":4680,"ephemeral_1h_input_tokens":0},"output_tokens":2,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3d9021ef-09ab-4468-9477-8ebb31706eaf","timestamp":"2026-10-17T23:36:20.244Z","request_id":"req_011Cg8gkd14aPVp8B3eatNeS","thinking_duration_ms":58066,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gkdN8i8rtDhf8xysg2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing the per-iteration rescale explains the speedup, but it also broke correctness, so I'll instead use a fixed per-row reference max from the first KV block, falling back to exact row-max recomputation only if a row drifts more than 2^20 above that reference.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4680,"cache_read_input_tokens":121158,"cache_creation":{"ephemeral_5m_input_tokens":4680,"ephemeral_1h_input_tokens":0},"output_tokens":2,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0a13e04d-273c-4ec3-bce7-d284b25c9100","timestamp":"2026-10-17T23:36:20.247Z","request_id":"req_011Cg8gkd14aPVp8B3eatNeS","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gkdN8i8rtDhf8xysg2","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_011vHVMz6DqWyv3HyhRcNhSW","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v2.py').read()\nold_loop = s[s.index('@triton.jit\\ndef _attn_loop'):s.index('@triton.jit\\ndef _attn_fwd')]\nnew_loop = '''@triton.jit\ndef _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units): no rescaling of the accumulator.\n    offs_n = tl.arange(0, BN)\n    acc = tl.zeros((BM, D), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k = k_desc.load([lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_next\n    return acc, l_i, m_max\n\n\n@triton.jit\ndef _first_max(q, k_desc, kcol, lo, mid, hi, qk_scale, qpos, BN: tl.constexpr):\n    offs_n = tl.arange(0, BN)\n    k = k_desc.load([lo, kcol])\n    s = tl.dot(q, k.T)\n    ok = ((lo + offs_n)[None, :] <= qpos[:, None]) & ((lo + offs_n)[None, :] < hi)\n    s = tl.where(ok, s, -float('inf'))\n    m = tl.max(s, 1) * qk_scale\n    return tl.where(m == -float('inf'), 0.0, m)\n\n\n'''\ns = s.replace(old_loop, new_loop)\na = s.index('        m_i = tl.full((BM,), -float(\\'inf\\'), tl.float32)')\nb = s.index('        valid = l_i > 0.0')\ns = s[:a] + '''        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        if tl.max(m_hi - m_ref, 0) > 20.0:\n            m_ref = m_hi\n            acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, RWS)\n        m_i = m_ref\n''' + s[b:]\ns = s.replace('WS: tl.constexpr):\\n    G: tl.constexpr = HQ // HKV\\n    BMQ: tl.constexpr = BM // G\\n    kt = tl.program_id(0)', 'WS: tl.constexpr, RWS: tl.constexpr):\\n    G: tl.constexpr = HQ // HKV\\n    BMQ: tl.constexpr = BM // G\\n    kt = tl.program_id(0)')\ns = s.replace(\"WS=True, num_warps=4\", \"WS=True, RWS=bool(int(__import__('os').environ.get('RWS', '0'))), num_warps=4\")\nopen('v3.py', 'w').write(s)\nEOF\ngrep -n \"RWS\\|m_ref\" v3.py | head; for r in 0 1; do echo \"== RWS=$r\"; RWS=$r BN=64 ST=2 python dump.py v3.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | head -3; done","description":"Build v3 with fixed reference max and retry path"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4680,"cache_read_input_tokens":121158,"cache_creation":{"ephemeral_5m_input_tokens":4680,"ephemeral_1h_input_tokens":0},"output_tokens":2,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f9ac81f1-5a68-42bb-ba2f-4d82f21f1b8e","timestamp":"2026-10-17T23:36:29.728Z","request_id":"req_011Cg8gkd14aPVp8B3eatNeS"}
{"type":"system","subtype":"task_started","task_id":"bs3ngs0t1","run_id":"0mvd1cnhk-b3641668","tool_use_id":"toolu_011vHVMz6DqWyv3HyhRcNhSW","description":"Build v3 with fixed reference max and retry path","is_backgrounded":false,"task_type":"local_bash","uuid":"40f6f4f4-3ed0-48c4-b66d-002681290e54","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bs3ngs0t1","run_id":"0mvd1cnhk-b3641668","tool_use_id":"toolu_011vHVMz6DqWyv3HyhRcNhSW","status":"completed","output_file":"","summary":"Build v3 with fixed reference max and retry path","uuid":"bc019531-2cbd-4d45-b8d9-1a83bf246e62","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011vHVMz6DqWyv3HyhRcNhSW","type":"tool_result","content":"18:def _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref,\n20:    # Softmax against a fixed per-row reference m_ref (log2 units): no rescaling of the accumulator.\n34:        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n56:              WS: tl.constexpr, RWS: tl.constexpr):\n86:        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n87:        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n89:        if tl.max(m_hi - m_ref, 0) > 20.0:\n90:            m_ref = m_hi\n91:            acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, RWS)\n92:        m_i = m_ref\n== RWS=0\nERR at 33:46:\n        b = p // HKV\n        hk = p % HKV\n== RWS=1\nERR at 33:46:\n        b = p // HKV\n        hk = p % HKV","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"2351fa82-77d5-4247-930b-bbf33eb262ab","timestamp":"2026-10-17T23:36:38.741Z","tool_use_result":{"stdout":"18:def _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref,\n20:    # Softmax against a fixed per-row reference m_ref (log2 units): no rescaling of the accumulator.\n34:        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n56:              WS: tl.constexpr, RWS: tl.constexpr):\n86:        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n87:        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n89:        if tl.max(m_hi - m_ref, 0) > 20.0:\n90:            m_ref = m_hi\n91:            acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, RWS)\n92:        m_i = m_ref\n== RWS=0\nERR at 33:46:\n        b = p // HKV\n        hk = p % HKV\n== RWS=1\nERR at 33:46:\n        b = p // HKV\n        hk = p % HKV","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011vHVMz6DqWyv3HyhRcNhSW","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8grQnWXd6i2pFP1kbed","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01RpCNG49kvRMvnhU6fTkxkk","name":"Bash","input":{"command":"RWS=0 BN=64 ST=2 python dump.py v3.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | head -30; sed -n 70,100p v3.py","description":"Show full compile error for v3"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":7871,"cache_read_input_tokens":125838,"cache_creation":{"ephemeral_5m_input_tokens":7871,"ephemeral_1h_input_tokens":0},"output_tokens":20,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4cf15277-8823-4df6-a389-fe243d7d44a5","timestamp":"2026-10-17T23:36:41.842Z","request_id":"req_011Cg8grQTfVCS4nr16Rnf9V"}
{"type":"system","subtype":"task_started","task_id":"bc7cq3jvk","run_id":"0mvd1cwu3-b0d23a4e","tool_use_id":"toolu_01RpCNG49kvRMvnhU6fTkxkk","description":"Show full compile error for v3","is_backgrounded":false,"task_type":"local_bash","uuid":"3d668ae5-6d02-46d6-9f14-8748f2a35737","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bc7cq3jvk","run_id":"0mvd1cwu3-b0d23a4e","tool_use_id":"toolu_01RpCNG49kvRMvnhU6fTkxkk","status":"completed","output_file":"","summary":"Show full compile error for v3","uuid":"c663bc70-b5a4-4961-a8f4-0f2eb7503511","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01RpCNG49kvRMvnhU6fTkxkk","type":"tool_result","content":"ERR at 33:46:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n    \n    kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n    full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n    p_lo = w0 // NB\n    p_hi = (w1 - 1) // NB\n    for p in range(p_lo, p_hi + 1):\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        if tl.max(m_hi - m_ref, 0) > 20.0:\n            m_ref = m_hi\n            acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, RWS)\n        m_i = m_ref\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_i + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o)\n        tl.store(LP + slot * BM + rows, lse)","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d01dac73-d5f9-4104-b510-304cb85f82ce","timestamp":"2026-10-17T23:36:46.410Z","tool_use_result":{"stdout":"ERR at 33:46:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n    \n    kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n    full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n    p_lo = w0 // NB\n    p_hi = (w1 - 1) // NB\n    for p in range(p_lo, p_hi + 1):\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        if tl.max(m_hi - m_ref, 0) > 20.0:\n            m_ref = m_hi\n            acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, RWS)\n        m_i = m_ref\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_i + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o)\n        tl.store(LP + slot * BM + rows, lse)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01RpCNG49kvRMvnhU6fTkxkk","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gsz4XmbHjTHgpiABPD","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm hitting a compiler assertion where a nested loop inside an if-block trips up InsertTmemAref, so I need another way to express the retry logic. I'm weighing whether to split off a separate fixup kernel that recomputes flagged overflow segments against restructuring the loop body itself to avoid the nested-loop-in-if pattern entirely.\n\nSketching out a while-loop version where the outer head-segment loop becomes dynamic: each iteration sets up the segment, computes an initial max estimate, overrides it with a saved value if this is a retry pass, runs the inner accumulation loop, then checks for overflow to decide whether to redo the same segment.\n\nI'm now trying to avoid conditional control flow entirely by making the overflow check purely data-driven -- masking the store so it's unconditional, and advancing the segment counter or keeping it fixed based on the overflow flag instead of branching, since TMEM operations inside an scf.while/if seem risky for the warp-specialization pass. I'm also considering an alternative: using a fixed-iteration for loop with enough extra iterations to cover retries, tracking segment state manually and short-circuiting once done.\n\nI'm weighing the cost of wasted iterations against other designs, including splitting the warp-specialized loop into a separate jit function (though Triton would inline it anyway), a two-kernel fused approach, or a more robust single-pass design using a cheaper upper-bound reference for the max.\n\nChecking that bound via Cauchy-Schwarz against random normal data, the gap between the bound and the true max comes out to roughly 19 in log2 units, giving p_max around 2^-19 — comfortably safe from underflow.\n\nBut with scaled-up inputs (100x magnitude), that gap blows up to around 1900 log2 units, which causes total underflow to zero — so this bound fails for large-magnitude inputs.\n\nI also consider only rescaling conditionally to avoid the TMEM round trip, but that still forces the slowdown whenever rescaling triggers; and rescaling P instead of O via an exponent shift runs into the same underlying problem. I'm now thinking about whether a retry-based fixup kernel could work instead.\n\nMerging the fixup into the combine kernel seems costly too — the combine kernel would need the full attention loop logic and its resource allocations (smem, TMEM), which would hurt occupancy even when the flagged path isn't taken, and since combine is lightweight I/O work, this tradeoff doesn't seem worth it. I want to try the while-loop-with-masked-stores approach instead.\n\nThat works out to roughly 4us per CTA, about 1% of the 400us budget — not great but tolerable. The while-loop version avoids this overhead entirely, so let me try that approach instead.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1461,"cache_read_input_tokens":135052,"cache_creation":{"ephemeral_5m_input_tokens":1461,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a94f8f0c-43c3-44ca-82fd-cc579bd42165","timestamp":"2026-10-17T23:37:25.794Z","request_id":"req_011Cg8gsyiCNZrmYHkH9HsZy","thinking_duration_ms":24182,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gsz4XmbHjTHgpiABPD","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01EnTwQFrd4w4pEGubma1iib","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v3.py').read()\na = s.index('    for p in range(p_lo, p_hi + 1):')\nb = s.index('@triton.jit\\ndef _combine')\nnew = '''    p = p_lo\n    retry = p_lo > p_hi\n    m_saved = tl.zeros((BM,), tl.float32)\n    while p <= p_hi:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        mid = tl.maximum(tl.minimum(full_end, hi), lo)\n        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n        m_ref = tl.where(retry, m_saved, m_ref)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        over = tl.max(m_hi - m_ref, 0) > 20.0\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_ref + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (not over))\n        tl.store(LP + slot * BM + rows, lse, mask=(rows < BM) & (not over))\n        retry = over\n        m_saved = m_hi\n        p = tl.where(over, p, p + 1)\n\n\n'''\ns = s[:a] + new + s[b:]\nopen('v3.py', 'w').write(s)\nEOF\nRWS=0 BN=64 ST=2 python dump.py v3.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | head -5; grep -o \"requestedRegisters = [^}]*\" /tmp/k.ttgir","description":"Use while loop retry with masked stores"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1461,"cache_read_input_tokens":135052,"cache_creation":{"ephemeral_5m_input_tokens":1461,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a22817c7-9a32-4f90-b667-7f5f156d1cc2","timestamp":"2026-10-17T23:37:32.409Z","request_id":"req_011Cg8gsyiCNZrmYHkH9HsZy"}
{"type":"system","subtype":"task_started","task_id":"bh787s9kt","run_id":"0mvd1dzuv-be002a43","tool_use_id":"toolu_01EnTwQFrd4w4pEGubma1iib","description":"Use while loop retry with masked stores","is_backgrounded":false,"task_type":"local_bash","uuid":"78c971c1-2974-4ed9-a345-c00870aee8d8","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01EnTwQFrd4w4pEGubma1iib","type":"tool_result","content":"<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n      scf.condition(%32) %arg13, %arg14, %arg15 : i32, i1, tensor<128xf32>\nrequestedRegisters = array<i32: 24, 24>","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ea754c5a-eec7-4a4f-89c1-464ec828f06a","timestamp":"2026-10-17T23:37:37.199Z","tool_use_result":{"stdout":"<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n      scf.condition(%32) %arg13, %arg14, %arg15 : i32, i1, tensor<128xf32>\nrequestedRegisters = array<i32: 24, 24>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01EnTwQFrd4w4pEGubma1iib","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gvifeht41yhcApvZW8","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Hitting another crash about layout rank requirements, likely from carrying the 1D m_saved tensor through the while loop and confusing layout inference. I'm considering avoiding that by recomputing m_ref differently instead of threading m_saved through the retry loop.\n\nRather than carrying m_saved as a loop-carried value, I'll store m_hi to the LP global memory buffer on overflow and reload it on the retry iteration, with a debug_barrier to ensure visibility between the store and the subsequent load since different threads may own different rows. I want to just test this quickly to see if swapping the 1D carried tensor for a global memory round-trip fixes the compiler issue.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4372,"cache_read_input_tokens":136513,"cache_creation":{"ephemeral_5m_input_tokens":4372,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"b59b7ace-6181-47ca-a6cb-cbb1074eb6e7","timestamp":"2026-10-17T23:37:46.624Z","request_id":"req_011Cg8gviQ2hka2QGPua3w4t","thinking_duration_ms":7027,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gvifeht41yhcApvZW8","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01VAPUK3HTqjuKe1er7e7VDo","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v3.py').read()\ns = s.replace(\"    m_saved = tl.zeros((BM,), tl.float32)\\n\", \"\")\ns = s.replace(\"        m_ref = tl.where(retry, m_saved, m_ref)\\n\", \"\")\nold = s[s.index(\"        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\"):s.index(\"        retry = over\\n\")]\nnew = '''        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        m_prev = tl.load(LP + slot * BM + rows)\n        m_ref = tl.where(retry, m_prev, m_ref)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        over = tl.max(m_hi - m_ref, 0) > 20.0\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_ref + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (not over))\n        tl.store(LP + slot * BM + rows, tl.where(over, m_hi, lse))\n        tl.debug_barrier()\n'''\ns = s.replace(old, new)\ns = s.replace(\"        m_saved = m_hi\\n\", \"\")\nopen('v3.py', 'w').write(s)\nEOF\nsed -n 75,115p v3.py; RWS=0 BN=64 ST=2 python dump.py v3.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | head -5; grep -o \"requestedRegisters = [^}]*\" /tmp/k.ttgir","description":"Pass retry max via global memory instead of loop-carried tensor"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4372,"cache_read_input_tokens":136513,"cache_creation":{"ephemeral_5m_input_tokens":4372,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"7598f6a0-bcd5-498f-bffd-0c89f73dbfd3","timestamp":"2026-10-17T23:37:50.498Z","request_id":"req_011Cg8gviQ2hka2QGPua3w4t"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01VAPUK3HTqjuKe1er7e7VDo","type":"tool_result","content":"    retry = p_lo > p_hi\n    while p <= p_hi:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        mid = tl.maximum(tl.minimum(full_end, hi), lo)\n        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        m_prev = tl.load(LP + slot * BM + rows)\n        m_ref = tl.where(retry, m_prev, m_ref)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        over = tl.max(m_hi - m_ref, 0) > 20.0\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_ref + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (not over))\n        tl.store(LP + slot * BM + rows, tl.where(over, m_hi, lse))\n        tl.debug_barrier()\n        retry = over\n        p = tl.where(over, p, p + 1)\n\n\n@triton.jit\ndef _combine(OP, LP, O, Sq, QT, NB, W, groups, JMAX,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, R: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    pid = tl.program_id(0)\n    chunk = pid % (BM // R)\n    t = pid // (BM // R)\n    kt = t % QT\n<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n      scf.condition(%32) %arg13, %arg14 : i32, i1\nrequestedRegisters = array<i32: 24, 24>","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"90597b6b-d659-412c-bd7b-27fc0eb795c9","timestamp":"2026-10-17T23:37:55.135Z","tool_use_result":{"stdout":"    retry = p_lo > p_hi\n    while p <= p_hi:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\n        hi = tl.minimum(w1 - p * NB, NB) * BN\n        hi = tl.minimum(hi, kv_end)\n        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        mid = tl.maximum(tl.minimum(full_end, hi), lo)\n        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\n        gf = ((p * NB + 1) * groups - 1) // W\n        slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n        m_prev = tl.load(LP + slot * BM + rows)\n        m_ref = tl.where(retry, m_prev, m_ref)\n        acc, l_i, m_max = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_ref, BM, BN, D, WS)\n        m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n        over = tl.max(m_hi - m_ref, 0) > 20.0\n        valid = l_i > 0.0\n        o = acc / tl.where(valid, l_i, 1.0)[:, None]\n        lse = tl.where(valid, m_ref + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (not over))\n        tl.store(LP + slot * BM + rows, tl.where(over, m_hi, lse))\n        tl.debug_barrier()\n        retry = over\n        p = tl.where(over, p, p + 1)\n\n\n@triton.jit\ndef _combine(OP, LP, O, Sq, QT, NB, W, groups, JMAX,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, R: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    pid = tl.program_id(0)\n    chunk = pid % (BM // R)\n    t = pid // (BM // R)\n    kt = t % QT\n<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n      scf.condition(%32) %arg13, %arg14 : i32, i1\nrequestedRegisters = array<i32: 24, 24>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01VAPUK3HTqjuKe1er7e7VDo","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XNKdoCb6bXZe7JzMCs4cs4","type":"tool_result","content":"<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n    scf.for %arg13 = %27 to %31 step %c1_i32  : i32 {\nrequestedRegisters = array<i32: 24, 24>\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 884, in _do_compile\n    kernel = self.compile(src, target=target, options=options.__dict__)\n             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 327, in compile\n    next_module = compile_ir(module, metadata)\n                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/backends/nvidia/compiler.py\", line 549, in <lambda>\n    stages[\"ttgir\"] = lambda src, metadata: self.make_ttgir(src, metadata, options, capability)\n                                            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/backends/nvidia/compiler.py\", line 321, in make_ttgir\n    pm.run(mod, 'make_ttgir')\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8b56cedf-ecc9-476a-bac6-660f6ec987f3","timestamp":"2026-10-17T23:38:12.540Z","tool_use_result":{"stdout":"<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\nmodule {\n  tt.func public @_attn_fwd(%arg0: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg1: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg2: !tt.ptr<bf16> {tt.divisibility = 16 : i32}, %arg3: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg4: !tt.ptr<f32> {tt.divisibility = 16 : i32}, %arg5: i32 {tt.divisibility = 16 : i32}, %arg6: i32 {tt.divisibility = 16 : i32}, %arg7: f32, %arg8: i32, %arg9: i32 {tt.divisibility = 16 : i32}, %arg10: i32 {tt.divisibility = 16 : i32}, %arg11: i32, %arg12: i32) attributes {noinline = false} {\n    scf.for %arg13 = %27 to %31 step %c1_i32  : i32 {\nrequestedRegisters = array<i32: 24, 24>\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 884, in _do_compile\n    kernel = self.compile(src, target=target, options=options.__dict__)\n             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 327, in compile\n    next_module = compile_ir(module, metadata)\n                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/backends/nvidia/compiler.py\", line 549, in <lambda>\n    stages[\"ttgir\"] = lambda src, metadata: self.make_ttgir(src, metadata, options, capability)\n                                            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/backends/nvidia/compiler.py\", line 321, in make_ttgir\n    pm.run(mod, 'make_ttgir')\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XNKdoCb6bXZe7JzMCs4cs4","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gzdKYYxtMteu8z1igG","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Since the no-first-max version compiles fine, the crash must come from how the reduction result from `_first_max` gets used inside the loop—likely a layout mismatch where a TMEM-load-derived slice is treated as loop-invariant across warp-specialized partitions. I want to try computing m_ref inside the loop instead, carrying it as a loop-local value from the first iteration rather than referencing it externally.\n\nSince m_max is already tracked, I could initialize m_ref directly from the running max on the first block. But I need to check the masked-region edge case: if a row's first block is fully masked and all subsequent blocks are also masked for that row, there are no valid keys at all in that segment, so m_ref staying at its guard value is fine there.\n\nFor the retry case, I'm weighing two approaches: loading m_ref from global memory before the loop versus setting it in-loop on the first iteration via a select. The per-iteration select cost is negligible, but I want to test both variants since one earlier crash involved passing a loaded tensor into the loop, so I need to isolate whether that's the actual cause.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1318,"cache_read_input_tokens":146517,"cache_creation":{"ephemeral_5m_input_tokens":1318,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"7275c20b-858f-42fe-b2c6-51d430b0319f","timestamp":"2026-10-17T23:38:42.271Z","request_id":"req_011Cg8gzcxxiuGWze3tEmZvB","thinking_duration_ms":10449,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gzdKYYxtMteu8z1igG","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01RDdveRyhGrdoJKyrpB8thZ","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v3n1.py').read()\n# (a) m_ref from a global load\nsa = s.replace(\"        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\\n\", \"        m_ref = tl.load(LP + rows)\\n\")\nopen('v3na.py', 'w').write(sa)\n# (b) in-loop first-iteration reference\nsb = s.replace(\"        m_ref = _first_max(q, kd, hk * D, lo, mid, hi, qk_scale, qpos, BN)\\n\", \"        m_ref = tl.zeros((BM,), tl.float32)\\n\")\nsb = sb.replace(\"\"\"        m_max = tl.maximum(m_max, tl.max(s, 1))\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\"\"\", \"\"\"        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where(n0 == lo, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\"\"\")\nsb = sb.replace(\"    return acc, l_i, m_max\\n\\n\\n@triton.jit\\ndef _first_max\", \"    return acc, l_i, m_max, m_ref\\n\\n\\n@triton.jit\\ndef _first_max\")\nsb = sb.replace(\"        acc, l_i, m_max = _attn_loop(\", \"        acc, l_i, m_max, m_ref = _attn_loop(\")\nopen('v3nb.py', 'w').write(sb)\nEOF\nfor f in v3na v3nb; do echo \"== $f\"; RWS=0 BN=64 ST=2 python dump.py $f.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | grep -v \"^module\\|tt.func\\|scf\\.\\|tt.reduce\" | head -3; grep -o \"requestedRegisters = [^}]*\" /tmp/k.ttgir; done","description":"Test m_ref from load vs in-loop first block"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1318,"cache_read_input_tokens":146517,"cache_creation":{"ephemeral_5m_input_tokens":1318,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"467fed46-d652-4e92-9549-d3c8790f339b","timestamp":"2026-10-17T23:38:45.642Z","request_id":"req_011Cg8gzcxxiuGWze3tEmZvB"}
{"type":"system","subtype":"task_started","task_id":"bp5zmmlwb","run_id":"0mvd1fkcx-6b4b3d38","tool_use_id":"toolu_01RDdveRyhGrdoJKyrpB8thZ","description":"Test m_ref from load vs in-loop first block","is_backgrounded":false,"task_type":"local_bash","uuid":"946d8982-3e2f-49b4-aa14-6a63a2c723a4","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bp5zmmlwb","run_id":"0mvd1fkcx-6b4b3d38","tool_use_id":"toolu_01RDdveRyhGrdoJKyrpB8thZ","status":"completed","output_file":"","summary":"Test m_ref from load vs in-loop first block","uuid":"29315c39-c4a2-4c63-af82-f3082dce9184","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01RDdveRyhGrdoJKyrpB8thZ","type":"tool_result","content":"== v3na\nshared 197020 tmem 512\nrequestedRegisters = array<i32: 24, 24>\n== v3nb\nshared 197020 tmem 512\nrequestedRegisters = array<i32: 24, 24>","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"668fee55-704a-4afa-bd9d-6c052b8c76a7","timestamp":"2026-10-17T23:38:56.909Z","tool_use_result":{"stdout":"== v3na\nshared 197020 tmem 512\nrequestedRegisters = array<i32: 24, 24>\n== v3nb\nshared 197020 tmem 512\nrequestedRegisters = array<i32: 24, 24>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01RDdveRyhGrdoJKyrpB8thZ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8h4HBwTDcZHL7E9VGUV","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Normal inputs pass with speed at 0.947 of expert, but outlier inputs fail with wrong values rather than overflow since nonfinite is zero. I'm tracing through the math—an 80x outlier in K could push a score from ~3 up to ~200, which would explain the discrepancy.\n\nTracing the exponent, a score of 200 pushes p toward overflow territory, but l would hit infinity and division would produce NaN or inf, which contradicts the observed finite nonfinite count of zero. I'm now reconsidering whether the outlier actually stays within bf16/fp32 range, since 2^100 magnitude values divide out cleanly in fp32 without precision loss, which still doesn't explain the wrongness I'm seeing.\n\nThe v1 online softmax approach apparently passes the outlier test while the fixed-reference version doesn't, suggesting the overflow happens differently: with an outlier key boosting the score to something like 150 while m_ref sits at 3, the exponent difference of 147 could actually push p into true overflow this time.\n\nSo I'm suspecting Triton's exp2 lowering uses an approximate instruction that saturates to infinity for large inputs, which would make the numerator sum infinite too. Then dividing infinite accumulated output by infinite normalization could produce NaN or zero depending on how the division resolves, which would explain the discrepancy I'm chasing.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_016mAH6vrY6zRoraqiu56sFQ","type":"tool_result","content":"bad rows (query, head): [[0, 0, 1], [0, 0, 2], [0, 0, 3], [0, 0, 4], [0, 0, 5], [0, 0, 9], [0, 0, 13], [0, 0, 14], [0, 1, 4], [0, 1, 6], [0, 1, 7], [0, 1, 10], [0, 1, 13], [0, 1, 14], [0, 1, 15], [0, 2, 2], [0, 2, 3], [0, 2, 4], [0, 2, 5], [0, 2, 6]]\nfrac bad rows 0.30666667222976685\nexample 0 1 got [0.46484375, -0.71875, 0.28125, 0.58984375, 0.39453125, 0.82421875] exp [0.31958794593811035, -0.7182306051254272, 0.20734108984470367, 0.3922346532344818, 0.33887627720832825, 0.7938252091407776]\nmax score 24.6013126373291 first64 max 5.7318034172058105","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ebef6627-200f-4778-b856-5477dd673b37","timestamp":"2026-10-17T23:39:46.791Z","tool_use_result":{"stdout":"bad rows (query, head): [[0, 0, 1], [0, 0, 2], [0, 0, 3], [0, 0, 4], [0, 0, 5], [0, 0, 9], [0, 0, 13], [0, 0, 14], [0, 1, 4], [0, 1, 6], [0, 1, 7], [0, 1, 10], [0, 1, 13], [0, 1, 14], [0, 1, 15], [0, 2, 2], [0, 2, 3], [0, 2, 4], [0, 2, 5], [0, 2, 6]]\nfrac bad rows 0.30666667222976685\nexample 0 1 got [0.46484375, -0.71875, 0.28125, 0.58984375, 0.39453125, 0.82421875] exp [0.31958794593811035, -0.7182306051254272, 0.20734108984470367, 0.3922346532344818, 0.33887627720832825, 0.7938252091407776]\nmax score 24.6013126373291 first64 max 5.7318034172058105","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_016mAH6vrY6zRoraqiu56sFQ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8h6GnwUN5d2oMzBGasn","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Checking the exponent range confirms no overflow, since p stays well within bf16 limits, so the 0.46 vs 0.32 discrepancy must come from somewhere else — maybe the ex2.approx.ftz instruction's precision at large arguments is the culprit.\n\nActually, thinking further about the MMA accumulation: the tensor core might align products to a common exponent during each K-step reduction, truncating smaller contributions when P spans a huge dynamic range like 2^-x to 2^27 within the same chunk — that mismatch in magnitudes could be silently dropping precision in the O += P·V accumulation.\n\nThat shouldn't produce such a large discrepancy, so I'm doubting that's the real cause and need to look more carefully at the actual failure case. For query 0, head 1, I'm checking whether it falls within the masked region given the segment boundaries, and tracing through how the online-softmax-free version tracks the running max and log-sum-exp across segments before combining them. I suspect the real bug might be in how the threshold check determines segment boundaries.\n\nI want to test if computing p in bf16 against the reference matches, which would confirm the bug lives in the kernel rather than precision. I'm also reconsidering the hardware exponential instruction's overflow behavior at large magnitudes, and checking whether the bf16 conversion of p or the TMEM storage path could be introducing the discrepancy, though neither seems likely at this scale. Now I'm turning to whether the running sum l_i, accumulated in fp32, could be where precision is actually breaking down.\n\nSince v1's online softmax passed the same outlier test while v3nb (without rescaling, using a fixed reference max and different loop order) fails, I want to emulate v3nb's math directly in PyTorch to isolate whether this is a precision issue tied to the outlier key's weight relative to the tolerance term that accounts for bf16 rounding in P.\n\nRounding differences from using a fixed m_ref versus the true max aren't exactly power-of-2 scale invariant, but that alone shouldn't cause a 40% error — this smells like an actual bug rather than numerical noise. I'm suspecting something in how the first block's max is initialized when it's much smaller than later blocks, or possibly an issue in the tensor core accumulation for QK^T with outlier values, so I want to build the emulation to test these hypotheses directly.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2425,"cache_read_input_tokens":150858,"cache_creation":{"ephemeral_5m_input_tokens":2425,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ad2b8a5d-7581-430f-aaaf-52d9f177178f","timestamp":"2026-10-17T23:40:12.179Z","request_id":"req_011Cg8h6GUbL4p4ApmnCW9gX","thinking_duration_ms":23891,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hAko2hs8tKZtAS7NP4","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm checking the scale-8 failure case for Sk=1024, Sq=64—computing expected score magnitudes shows the gap between block-max and global-max is only about 10 log2 units, which seems too small to explain the numerical break on its own, so I'm suspecting some precision issue tied to the 0.5 max-abs error instead.\n\nTracing through the specific grid configuration here: with 2 blocks per CTA segment, I wonder if m_ref gets set correctly for the second block but the first block's probability computation still uses an uninitialized or stale m_ref value, which with scale 8 pushes scores to roughly ±20 nat and could make p blow up relative to the recorded max, causing the combine step across segments to weight things incorrectly.\n\nThe key clue is that Sk=128 passes (single block per group, no cross-segment merge needed) while Sk=1024 fails at scale 8 with 2 blocks per group — so the bug seems tied specifically to multi-block segments and how their partial softmax states get combined.\n\nActually, a simpler test: force groups to 1 so there's only one segment per head and no combine step needed, then see if scale 8 still fails. If it passes, that isolates the bug to the combine/partials logic rather than the per-block computation.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hEadDGxZbhpSG1jaRt","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"It passes with one segment per head but fails once segments span multiple blocks, so the bug must be in how partial log-sum-exp values get combined across segments. I'm checking the units used for the scaled max and sum terms in the combine step, and the exp2-based weighting looks consistent, so the issue is likely elsewhere in how partial results are merged across block boundaries.\n\nI'm also wondering if the loop-carried running max isn't properly surviving the warp-specialized region — maybe the value returned across partitions isn't the one actually updated inside the softmax computation. Rather than guessing further, I should write a targeted test that runs the forward kernel directly on a single segment and inspects the intermediate log-sum-exp and output values against a PyTorch reference to pinpoint exactly where they diverge.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2545,"cache_read_input_tokens":158905,"cache_creation":{"ephemeral_5m_input_tokens":2545,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"16734650-ea71-450c-aabc-ec371b677faa","timestamp":"2026-10-17T23:41:47.248Z","request_id":"req_011Cg8hEZZUULeFTUZkdTgcW","thinking_duration_ms":6104,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hEadDGxZbhpSG1jaRt","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01HpUP3KfvTpGbYkwQ7a5NhL","name":"Bash","input":{"command":"cat > dbg5.py << 'EOF'\nimport sys, torch, triton, math\nsys.path.insert(0, '/workspace'); sys.path.insert(0, '/workspace/dev')\nimport task as T\nfrom bench import load\nmod = load(sys.argv[1])\nshape = dict(B=1, Sq=64, Sk=1024)\ncase = T.make_case(shape, 1, 'cuda')\nq, k, v, out = case.args\nq.mul_(8)\nB, Sq, HQ, D = q.shape; Sk, HKV = k.shape[1], k.shape[2]\nBM, BN = 128, 64\nQT = triton.cdiv(Sq, 64); NB = triton.cdiv(Sk, BN); P = B * HKV; W = P * NB\ngroups = W // 4\nJMAX = triton.cdiv(NB, W // groups) + 1\nop = torch.zeros((P * QT * JMAX * BM * D,), device='cuda'); lp = torch.zeros((P * QT * JMAX * BM,), device='cuda')\nmod._attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, RWS=False, num_warps=4, num_stages=2)\ntorch.cuda.synchronize()\nop = op.view(P, QT, JMAX, BM, D); lp = lp.view(P, QT, JMAX, BM)\n# check head p=0, slot j: rows r -> query r//2, head r%2\np = 0\nfor j in range(4):\n    lo = j * 4 * BN; hi = lo + 4 * BN\n    worst = 0\n    for r in [0, 1, 10, 51, 127]:\n        qi, h = r // 2, r % 2\n        s = (q[0, qi, h].float() @ k[0, lo:hi, 0].float().t()) / 16 * 1.4426950408889634\n        n_ok = min(hi, Sk - Sq + qi + 1) - lo\n        s = s[:n_ok]\n        lse = torch.logsumexp(s * math.log(2), 0) / math.log(2)\n        o = torch.softmax(s * math.log(2), 0) @ v[0, lo:lo + n_ok, 0].float()\n        print(j, r, 'lse', lse.item(), lp[p, 0, j, r].item(), 'o err', (o - op[p, 0, j, r]).abs().max().item())\nEOF\nMINB=4 RWS=0 BN=64 ST=2 python dbg5.py v3nb.py","description":"Compare per-segment partials against PyTorch"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2545,"cache_read_input_tokens":158905,"cache_creation":{"ephemeral_5m_input_tokens":2545,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"08f9d866-6395-4b5f-8913-2b63f05d3fb5","timestamp":"2026-10-17T23:41:52.615Z","request_id":"req_011Cg8hEZZUULeFTUZkdTgcW"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hFzTDDV3vfa5WP1zWQ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The ratios check out correctly, but the lse values are consistently lower than expected, suggesting the reference max used internally was actually higher than the m_ref being reported, not that l itself is wrong.\n\nMy leading hypothesis now is a reordering issue: maybe the first block's p values get computed using an initial m_ref of 0 before the real rowmax update happens, which would make that block's contribution blow up disproportionately (exp2 of raw scores instead of normalized ones) while later blocks use the correct max — this would explain an inconsistent l and skewed o that still happens to report the right ratio due to how the error propagates.\n\nThat wouldn't work unless the max were constant across blocks, which it isn't—yet the output error stays small while the lse error tracks a fixed offset. That tells me the p-weights are being computed against a consistent reference even though the reported max corresponds to an earlier block, meaning the kernel must be using the final segment max internally while reporting a stale first-block max.\n\nBut using the final max at block 0 is impossible due to causality, so I'm now suspecting it's something in how the compiler pipelines the softmax loop—maybe m_ref is a loop-carried value that gets mishandled across prologue/epilogue stages when the loop is software-pipelined, so the returned reference doesn't match what was actually used in the exponentials.\n\nLet me test this numerically by computing both the true segment max and the first-block max per row, then checking which one actually matches the reported lse discrepancy.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hFzTDDV3vfa5WP1zWQ","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_013M5R9zdSM5QLFSSxSbXMxN","name":"Bash","input":{"command":"cat >> dbg5.py << 'EOF'\nprint('---- hypothesis check')\nfor j in range(4):\n    lo = j * 4 * BN; hi = lo + 4 * BN\n    for r in [0, 1, 10, 51, 127]:\n        qi, h = r // 2, r % 2\n        s = (q[0, qi, h].float() @ k[0, lo:hi, 0].float().t()) / 16 * 1.4426950408889634\n        lse = torch.logsumexp(s * math.log(2), 0) / math.log(2)\n        mx = [s[b*64:(b+1)*64].max().item() for b in range(4)]\n        print(j, r, 'diff', round((lse - lp[p, 0, j, r]).item(), 3), 'blockmax', [round(x, 2) for x in mx])\nEOF\nMINB=4 RWS=0 BN=64 ST=2 python dbg5.py v3nb.py | sed -n '/hypothesis/,$p'","description":"Check lse deficit against block maxima"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2243,"cache_read_input_tokens":161450,"cache_creation":{"ephemeral_5m_input_tokens":2243,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"9dc7a640-629f-4659-8a62-f00281e4d409","timestamp":"2026-10-17T23:42:18.362Z","request_id":"req_011Cg8hFz7NWQQW4NY4fusSH"}
{"type":"system","subtype":"task_started","task_id":"b9t4eiwbk","run_id":"0mvd1k4hu-7b7f88a1","tool_use_id":"toolu_013M5R9zdSM5QLFSSxSbXMxN","description":"Check lse deficit against block maxima","is_backgrounded":false,"task_type":"local_bash","uuid":"2f410cef-8a52-4da2-89d2-f99eb33e34f7","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_013M5R9zdSM5QLFSSxSbXMxN","type":"tool_result","content":"---- hypothesis check\n0 0 diff 0.171 blockmax [35.27, 22.09, 29.8, 31.7]\n0 1 diff 0.999 blockmax [29.15, 31.96, 25.52, 30.48]\n0 10 diff 0.918 blockmax [17.33, 27.13, 24.92, 20.19]\n0 51 diff 0.04 blockmax [28.65, 23.36, 32.84, 38.15]\n0 127 diff 0.404 blockmax [28.06, 25.97, 30.52, 25.24]\n1 0 diff 0.766 blockmax [22.61, 29.5, 23.01, 27.9]\n1 1 diff 0.973 blockmax [27.37, 28.47, 29.31, 25.78]\n1 10 diff 0.883 blockmax [22.16, 26.53, 22.12, 24.94]\n1 51 diff 0.384 blockmax [20.79, 27.32, 19.13, 29.12]\n1 127 diff 0.284 blockmax [22.92, 34.84, 31.21, 37.16]\n2 0 diff 1.682 blockmax [30.24, 26.24, 31.39, 31.14]\n2 1 diff 0.0 blockmax [18.13, 27.74, 42.77, 23.54]\n2 10 diff 0.404 blockmax [31.79, 27.16, 29.38, 21.9]\n2 51 diff 0.186 blockmax [27.02, 31.29, 34.56, 27.63]\n2 127 diff 0.843 blockmax [22.84, 25.0, 31.72, 32.12]\n3 0 diff 0.44 blockmax [26.29, 29.62, 20.36, 25.55]\n3 1 diff 0.564 blockmax [25.73, 32.52, 34.05, 30.78]\n3 10 diff 0.024 blockmax [20.26, 35.08, 16.87, 28.97]\n3 51 diff 3.249 blockmax [21.95, 26.62, 16.29, 28.99]\n3 127 diff 0.891 blockmax [28.2, 25.35, 30.59, 22.54]","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"26247d6c-69b0-4658-a2bb-584fc6b29bd2","timestamp":"2026-10-17T23:42:23.639Z","tool_use_result":{"stdout":"---- hypothesis check\n0 0 diff 0.171 blockmax [35.27, 22.09, 29.8, 31.7]\n0 1 diff 0.999 blockmax [29.15, 31.96, 25.52, 30.48]\n0 10 diff 0.918 blockmax [17.33, 27.13, 24.92, 20.19]\n0 51 diff 0.04 blockmax [28.65, 23.36, 32.84, 38.15]\n0 127 diff 0.404 blockmax [28.06, 25.97, 30.52, 25.24]\n1 0 diff 0.766 blockmax [22.61, 29.5, 23.01, 27.9]\n1 1 diff 0.973 blockmax [27.37, 28.47, 29.31, 25.78]\n1 10 diff 0.883 blockmax [22.16, 26.53, 22.12, 24.94]\n1 51 diff 0.384 blockmax [20.79, 27.32, 19.13, 29.12]\n1 127 diff 0.284 blockmax [22.92, 34.84, 31.21, 37.16]\n2 0 diff 1.682 blockmax [30.24, 26.24, 31.39, 31.14]\n2 1 diff 0.0 blockmax [18.13, 27.74, 42.77, 23.54]\n2 10 diff 0.404 blockmax [31.79, 27.16, 29.38, 21.9]\n2 51 diff 0.186 blockmax [27.02, 31.29, 34.56, 27.63]\n2 127 diff 0.843 blockmax [22.84, 25.0, 31.72, 32.12]\n3 0 diff 0.44 blockmax [26.29, 29.62, 20.36, 25.55]\n3 1 diff 0.564 blockmax [25.73, 32.52, 34.05, 30.78]\n3 10 diff 0.024 blockmax [20.26, 35.08, 16.87, 28.97]\n3 51 diff 3.249 blockmax [21.95, 26.62, 16.29, 28.99]\n3 127 diff 0.891 blockmax [28.2, 25.35, 30.59, 22.54]","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_013M5R9zdSM5QLFSSxSbXMxN","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hHqUWpfnFHs9K1dyxg","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Looking at the block maxes across different rows, it seems like when one block strongly dominates the others the kernel's computed logsumexp nearly matches that max with little correction, but when the dominance is less extreme there's a small positive gap — suggesting the kernel's lse approximates but slightly undershoots the true logsumexp.\n\nMaybe l_i is computed with a different p than what's used for acc, so I should verify by directly dumping l and m_ref separately. I'll make a debug version of the kernel that stores m_ref into the LP buffer instead of lse, and stores l_i into the first slot of the output buffer, to isolate where the discrepancy comes from.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2678,"cache_read_input_tokens":163693,"cache_creation":{"ephemeral_5m_input_tokens":2678,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"eae7caab-78b7-438d-bd9d-ac51cf783cef","timestamp":"2026-10-17T23:42:34.347Z","request_id":"req_011Cg8hHq7wLzpMUqq4FdYZx","thinking_duration_ms":9005,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hHqUWpfnFHs9K1dyxg","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Xb4EJVvV3XjEBHMVQS8Ho2","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v3nb.py').read()\ns = s.replace(\"tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None])\",\n              \"tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], tl.where(rd[None, :] == 0, l_i[:, None], tl.where(rd[None, :] == 1, m_max[:, None] * qk_scale, o)), mask=(rows < BM)[:, None])\")\ns = s.replace(\"tl.store(LP + slot * BM + rows, tl.where(over, m_hi, lse))\", \"tl.store(LP + slot * BM + rows, m_ref)\")\nopen('v3dbg.py', 'w').write(s)\nEOF\ngrep -n \"tl.store\" v3dbg.py | head -4\ncat > dbg6.py << 'EOF'\nimport sys, torch, triton, math\nsys.path.insert(0, '/workspace'); sys.path.insert(0, '/workspace/dev')\nimport task as T\nfrom bench import load\nmod = load(sys.argv[1])\nshape = dict(B=1, Sq=64, Sk=1024)\ncase = T.make_case(shape, 1, 'cuda')\nq, k, v, out = case.args\nq.mul_(8)\nB, Sq, HQ, D = q.shape; Sk, HKV = k.shape[1], k.shape[2]\nBM, BN = 128, 64\nQT = triton.cdiv(Sq, 64); NB = triton.cdiv(Sk, BN); P = B * HKV; W = P * NB\ngroups = W // 4\nJMAX = triton.cdiv(NB, W // groups) + 1\nop = torch.zeros((P * QT * JMAX * BM * D,), device='cuda'); lp = torch.zeros((P * QT * JMAX * BM,), device='cuda')\nmod._attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, RWS=False, num_warps=4, num_stages=2)\ntorch.cuda.synchronize()\nop = op.view(P, QT, JMAX, BM, D); lp = lp.view(P, QT, JMAX, BM)\np = 0\nfor j in range(4):\n    lo = j * 4 * BN; hi = lo + 4 * BN\n    for r in [0, 1, 10, 51, 127]:\n        qi, h = r // 2, r % 2\n        s = (q[0, qi, h].float() @ k[0, lo:hi, 0].float().t()) / 16 * 1.4426950408889634\n        mx = [s[b*64:(b+1)*64].max().item() for b in range(4)]\n        mref = lp[p, 0, j, r].item()\n        l_true = torch.exp2(s - mref).sum().item()\n        lb = [torch.exp2(s[b*64:(b+1)*64] - mref).sum().item() for b in range(4)]\n        print(j, r, 'mref', round(mref, 2), 'mmax', round(op[p,0,j,r,1].item(), 2), 'blockmax', [round(x, 2) for x in mx], 'l', op[p, 0, j, r, 0].item(), 'l_true', l_true, 'per-block', [f'{x:.3g}' for x in lb])\nEOF\nMINB=4 RWS=0 BN=64 ST=2 python dbg6.py v3dbg.py","description":"Dump m_ref, m_max, and l from kernel for analysis"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2678,"cache_read_input_tokens":163693,"cache_creation":{"ephemeral_5m_input_tokens":2678,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"48dfe55c-5061-4406-b506-9eb900b63e28","timestamp":"2026-10-17T23:42:41.362Z","request_id":"req_011Cg8hHq7wLzpMUqq4FdYZx"}
{"type":"system","subtype":"task_started","task_id":"b29jkvs3k","run_id":"0mvd1km8v-bf115b8e","tool_use_id":"toolu_01Xb4EJVvV3XjEBHMVQS8Ho2","description":"Dump m_ref, m_max, and l from kernel for analysis","is_backgrounded":false,"task_type":"local_bash","uuid":"30d4f518-7ac6-4835-a27b-7840b9d5f03e","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"b29jkvs3k","run_id":"0mvd1km8v-bf115b8e","tool_use_id":"toolu_01Xb4EJVvV3XjEBHMVQS8Ho2","status":"completed","output_file":"","summary":"Dump m_ref, m_max, and l from kernel for analysis","uuid":"1ebb982a-45a9-46b4-b8ad-23bb5c484433","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Xb4EJVvV3XjEBHMVQS8Ho2","type":"tool_result","content":"98:        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], tl.where(rd[None, :] == 0, l_i[:, None], tl.where(rd[None, :] == 1, m_max[:, None] * qk_scale, o)), mask=(rows < BM)[:, None])\n99:        tl.store(LP + slot * BM + rows, m_ref)\n133:    tl.store(o_ptr, o.to(tl.bfloat16), mask=(qi < Sq)[:, None])\n0 0 mref 35.27 mmax 35.27 blockmax [35.27, 22.09, 29.8, 31.7] l 1.1257448196411133 l_true 1.1257504224777222 per-block ['1.02', '0.000226', '0.0228', '0.087']\n0 1 mref 29.15 mmax 31.96 blockmax [29.15, 31.96, 25.52, 30.48] l 14.063070297241211 l_true 14.06314754486084 per-block ['1.4', '8.47', '0.087', '4.11']\n0 10 mref 17.33 mmax 27.13 blockmax [17.33, 27.13, 24.92, 20.19] l 1684.9739990234375 l_true 1684.9798583984375 per-block ['1.86', '1.41e+03', '261', '8.3']\n0 51 mref 28.65 mmax 38.15 blockmax [28.65, 23.36, 32.84, 38.15] l 744.981201171875 l_true 744.984130859375 per-block ['1.35', '0.0411', '18.9', '725']\n0 127 mref 28.06 mmax 30.52 blockmax [28.06, 25.97, 30.52, 25.24] l 7.273134231567383 l_true 7.273141860961914 per-block ['1.04', '0.243', '5.69', '0.292']\n1 0 mref 22.61 mmax 29.5 blockmax [22.61, 29.5, 23.01, 27.9] l 201.5140838623047 l_true 201.5153045654297 per-block ['2.18', '157', '2.02', '39.9']\n1 1 mref 27.37 mmax 29.31 blockmax [27.37, 28.47, 29.31, 25.78] l 7.530725955963135 l_true 7.53074836730957 per-block ['1.01', '2.2', '3.85', '0.467']\n1 10 mref 22.16 mmax 26.53 blockmax [22.16, 26.53, 22.12, 24.94] l 38.19068145751953 l_true 38.190773010253906 per-block ['1.09', '25.9', '1.27', '9.89']\n1 51 mref 20.79 mmax 29.12 blockmax [20.79, 27.32, 19.13, 29.12] l 422.4819030761719 l_true 422.48406982421875 per-block ['3.01', '94.5', '0.694', '324']\n1 127 mref 22.92 mmax 37.16 blockmax [22.92, 34.84, 31.21, 37.16] l 23501.212890625 l_true 23501.310546875 per-block ['1.05', '3.87e+03', '322', '1.93e+04']\n2 0 mref 30.24 mmax 31.39 blockmax [30.24, 26.24, 31.39, 31.14] l 7.095497131347656 l_true 7.095531463623047 per-block ['1.04', '0.0735', '3.01', '2.97']\n2 1 mref 18.13 mmax 42.77 blockmax [18.13, 27.74, 42.77, 23.54] l 26031194.0 l_true 26031332.0 per-block ['1.63', '881', '2.6e+07', '77']\n2 10 mref 31.79 mmax 31.79 blockmax [31.79, 27.16, 29.38, 21.9] l 1.3229323625564575 l_true 1.3229371309280396 per-block ['1.02', '0.0643', '0.235', '0.00196']\n2 51 mref 27.02 mmax 34.56 blockmax [27.02, 31.29, 34.56, 27.63] l 211.20436096191406 l_true 211.2056427001953 per-block ['1.8', '22', '186', '1.71']\n2 127 mref 22.84 mmax 32.12 blockmax [22.84, 25.0, 31.72, 32.12] l 1113.16455078125 l_true 1113.1690673828125 per-block ['1.07', '6.56', '477', '628']\n3 0 mref 26.29 mmax 29.62 blockmax [26.29, 29.62, 20.36, 25.55] l 12.950613975524902 l_true 13.692919731140137 per-block ['2.66', '10.3', '0.0232', '0.742']\n3 1 mref 25.73 mmax 34.05 blockmax [25.73, 32.52, 34.05, 30.78] l 437.0673828125 l_true 473.21014404296875 per-block ['1.46', '112', '324', '36.1']\n3 10 mref 20.26 mmax 35.08 blockmax [20.26, 35.08, 16.87, 28.97] l 29260.140625 l_true 29314.37109375 per-block ['1.39', '2.88e+04', '0.26', '474']\n3 51 mref 21.95 mmax 26.62 blockmax [21.95, 26.62, 16.29, 28.99] l 27.17348289489746 l_true 243.02281188964844 per-block ['1.26', '25.8', '0.0421', '216']\n3 127 mref 28.2 mmax 30.59 blockmax [28.2, 25.35, 30.59, 22.54] l 9.75175666809082 l_true 9.751806259155273 per-block ['1.35', '0.304', '8.08', '0.0212']","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"93a83139-bd3b-41d1-b157-7cd68f4c1157","timestamp":"2026-10-17T23:42:47.427Z","tool_use_result":{"stdout":"98:        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], tl.where(rd[None, :] == 0, l_i[:, None], tl.where(rd[None, :] == 1, m_max[:, None] * qk_scale, o)), mask=(rows < BM)[:, None])\n99:        tl.store(LP + slot * BM + rows, m_ref)\n133:    tl.store(o_ptr, o.to(tl.bfloat16), mask=(qi < Sq)[:, None])\n0 0 mref 35.27 mmax 35.27 blockmax [35.27, 22.09, 29.8, 31.7] l 1.1257448196411133 l_true 1.1257504224777222 per-block ['1.02', '0.000226', '0.0228', '0.087']\n0 1 mref 29.15 mmax 31.96 blockmax [29.15, 31.96, 25.52, 30.48] l 14.063070297241211 l_true 14.06314754486084 per-block ['1.4', '8.47', '0.087', '4.11']\n0 10 mref 17.33 mmax 27.13 blockmax [17.33, 27.13, 24.92, 20.19] l 1684.9739990234375 l_true 1684.9798583984375 per-block ['1.86', '1.41e+03', '261', '8.3']\n0 51 mref 28.65 mmax 38.15 blockmax [28.65, 23.36, 32.84, 38.15] l 744.981201171875 l_true 744.984130859375 per-block ['1.35', '0.0411', '18.9', '725']\n0 127 mref 28.06 mmax 30.52 blockmax [28.06, 25.97, 30.52, 25.24] l 7.273134231567383 l_true 7.273141860961914 per-block ['1.04', '0.243', '5.69', '0.292']\n1 0 mref 22.61 mmax 29.5 blockmax [22.61, 29.5, 23.01, 27.9] l 201.5140838623047 l_true 201.5153045654297 per-block ['2.18', '157', '2.02', 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hKbDZnjfyr2BcTacCx","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The first three segments now match the true l values, but segment 3, which includes the masked block near position 960-1024, shows the kernel underestimating l (27.17 vs 243) since only keys up to around 985 are actually valid in that masked region.\n\nAh, I see the issue — my \"true\" computation didn't apply the causal mask, so it was including contributions that the kernel correctly excludes. That means the per-segment l values are actually fine as computed by the kernel.\n\nBut this raises a question about the earlier dbg5 lse mismatches — those showed significant diffs for j=0 even where l matched the true value. That suggests the discrepancy isn't in l itself but possibly in how lse is derived from m_ref, or whether m_ref differs from what I expect. I'm rechecking the lse computation in v3nb, tracing through how m_max, valid, and the final lse value get assembled from the accumulated scores.\n\nI've found it — there's a tile-wide \"over\" check comparing m_hi against m_ref against a threshold of 20, and when triggered it stores m_hi instead of the proper lse value. This is the retry-signaling logic I added for larger scale factors, but since this no-retry variant never actually retries, it just silently corrupts the stored lse whenever any row in the tile exceeds the threshold — explaining why lse looked anomalously close to the max value. So this is a bug in my implementation, not a compiler issue, and fixing it would require properly wiring up the retry path.\n\nI should implement the retry loop correctly this time, tracking a retry flag and reference max across attempts, rather than suspecting the compiler further — the earlier crash was more likely caused by my max-computation helper than the loop structure itself. I'm now sketching the logic for seeding the reference max from a stored value when retrying versus initializing fresh on the first attempt.\n\nAfter each attempt, checking if the overflow condition (max exceeding the threshold) only triggers on the first pass, since on retry the reference max equals the exact segment max from before, making the difference zero — assuming the matrix multiply results are bitwise deterministic across runs, which guarantees the loop terminates after at most one retry.\n\nFor safety I should mask that load so garbage values don't leak through when unused. Now I'll try implementing this with a while loop, falling back to a for loop with double iterations if that proves unstable.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015tufZhS6LhPRVtgc3Cupjt","type":"tool_result","content":"shared 197020 tmem 512\nrequestedRegisters = array<i32: 24, 24>","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"790fbfdb-2d98-422d-80b5-4f4e82844303","timestamp":"2026-10-17T23:43:23.623Z","tool_use_result":{"stdout":"shared 197020 tmem 512\nrequestedRegisters = array<i32: 24, 24>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015tufZhS6LhPRVtgc3Cupjt","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hNFuYn3KHEhemSfU3f","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_0124kBDbhK7vuDSWoTDgsMRN","name":"Bash","input":{"command":"RWS=0 BN=64 ST=2 timeout 900 python bench.py v4.py 2>&1 | tail -24; RWS=0 BN=64 ST=2 python dbg4.py v4.py; RWS=0 BN=64 ST=2 python dbg2.py v4.py","description":"Test v4 correctness, outliers, and timing"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3625,"cache_read_input_tokens":170490,"cache_creation":{"ephemeral_5m_input_tokens":3625,"ephemeral_1h_input_tokens":0},"output_tokens":20,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e968aca0-08e5-44a7-a675-addf09be90e9","timestamp":"2026-10-17T23:43:27.309Z","request_id":"req_011Cg8hNFZDQtDxZDARFweD9"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_0124kBDbhK7vuDSWoTDgsMRN","type":"tool_result","content":"check {'B': 1, 'Sq': 256, 'Sk': 131072} OK\ncheck {'B': 1, 'Sq': 512, 'Sk': 65536} OK\ncheck {'B': 1, 'Sq': 512, 'Sk': 131072} OK\ncheck {'B': 2, 'Sq': 256, 'Sk': 65536} OK\ncheck {'B': 1, 'Sq': 1, 'Sk': 1} OK\ncheck {'B': 1, 'Sq': 7, 'Sk': 13} OK\ncheck {'B': 2, 'Sq': 65, 'Sk': 300} OK\ncheck {'B': 3, 'Sq': 100, 'Sk': 1000} OK\ncheck {'B': 1, 'Sq': 129, 'Sk': 129} OK\ncheck {'B': 1, 'Sq': 1, 'Sk': 5000} OK\ncheck {'B': 2, 'Sq': 333, 'Sk': 4097} OK\ncheck {'B': 1, 'Sq': 1024, 'Sk': 32768} OK\ncheck {'B': 1, 'Sq': 200, 'Sk': 200} OK\ncheck {'B': 4, 'Sq': 16, 'Sk': 20000} OK\noutlier {'B': 1, 'Sq': 300, 'Sk': 5000} OK\noutlier {'B': 1, 'Sq': 256, 'Sk': 131072} OK\nALL CORRECT (15.1s)\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 394.2 us  expert 379  speedup 0.961  1395 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 379.9 us  expert 356  speedup 0.937  1447 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 723.9 us  expert 692  speedup 0.956  1519 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 402.4 us  expert 381  speedup 0.947  1366 TFLOPS\nGEOMEAN vs expert: 0.950\n{'B': 1, 'Sq': 64, 'Sk': 128} 1 True 0.0 0.003013432025909424\n{'B': 1, 'Sq': 64, 'Sk': 128} 2 True 0.0 0.01037907600402832\n{'B': 1, 'Sq': 64, 'Sk': 128} 4 True 0.0 0.015984773635864258\n{'B': 1, 'Sq': 64, 'Sk': 128} 8 True 0.0 0.020453929901123047\n{'B': 1, 'Sq': 64, 'Sk': 1024} 1 True 0.0 0.0008206367492675781\n{'B': 1, 'Sq': 64, 'Sk': 1024} 2 True 0.0 0.005035042762756348\n{'B': 1, 'Sq': 64, 'Sk': 1024} 4 True 0.0 0.014224767684936523\n{'B': 1, 'Sq': 64, 'Sk': 1024} 8 True 0.0 0.015874624252319336\n{'B': 1, 'Sq': 300, 'Sk': 5000} 1 True 0.0 0.0003789141774177551\n{'B': 1, 'Sq': 300, 'Sk': 5000} 2 True 0.0 0.007492184638977051\n{'B': 1, 'Sq': 300, 'Sk': 5000} 4 True 0.0 0.015645980834960938\n{'B': 1, 'Sq': 300, 'Sk': 5000} 8 True 0.0 0.01246500015258789\nk True {'bad': 0, 'bad_frac': 0.0, 'nonfinite': 0, 'max_abs': 0.015184879302978516}\nv True {'bad': 0, 'bad_frac': 0.0, 'nonfinite': 0, 'max_abs': 0.007505536079406738}\nq True {'bad': 0, 'bad_frac': 0.0, 'nonfinite': 0, 'max_abs': 0.01416921615600586}","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c535bbef-438a-48f9-9f4c-543fe48f6216","timestamp":"2026-10-17T23:43:58.096Z","tool_use_result":{"stdout":"check {'B': 1, 'Sq': 256, 'Sk': 131072} OK\ncheck {'B': 1, 'Sq': 512, 'Sk': 65536} OK\ncheck {'B': 1, 'Sq': 512, 'Sk': 131072} OK\ncheck {'B': 2, 'Sq': 256, 'Sk': 65536} OK\ncheck {'B': 1, 'Sq': 1, 'Sk': 1} OK\ncheck {'B': 1, 'Sq': 7, 'Sk': 13} OK\ncheck {'B': 2, 'Sq': 65, 'Sk': 300} OK\ncheck {'B': 3, 'Sq': 100, 'Sk': 1000} OK\ncheck {'B': 1, 'Sq': 129, 'Sk': 129} OK\ncheck {'B': 1, 'Sq': 1, 'Sk': 5000} OK\ncheck {'B': 2, 'Sq': 333, 'Sk': 4097} OK\ncheck {'B': 1, 'Sq': 1024, 'Sk': 32768} OK\ncheck {'B': 1, 'Sq': 200, 'Sk': 200} OK\ncheck {'B': 4, 'Sq': 16, 'Sk': 20000} OK\noutlier {'B': 1, 'Sq': 300, 'Sk': 5000} OK\noutlier {'B': 1, 'Sq': 256, 'Sk': 131072} OK\nALL CORRECT (15.1s)\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 394.2 us  expert 379  speedup 0.961  1395 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 379.9 us  expert 356  speedup 0.937  1447 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 723.9 us  expert 692  speedup 0.956  1519 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 402.4 us  expert 381  speedup 0.947  1366 TFLOPS\nGEOMEAN vs expert: 0.950\n{'B': 1, 'Sq': 64, 'Sk': 128} 1 True 0.0 0.003013432025909424\n{'B': 1, 'Sq': 64, 'Sk': 128} 2 True 0.0 0.01037907600402832\n{'B': 1, 'Sq': 64, 'Sk': 128} 4 True 0.0 0.015984773635864258\n{'B': 1, 'Sq': 64, 'Sk': 128} 8 True 0.0 0.020453929901123047\n{'B': 1, 'Sq': 64, 'Sk': 1024} 1 True 0.0 0.0008206367492675781\n{'B': 1, 'Sq': 64, 'Sk': 1024} 2 True 0.0 0.005035042762756348\n{'B': 1, 'Sq': 64, 'Sk': 1024} 4 True 0.0 0.014224767684936523\n{'B': 1, 'Sq': 64, 'Sk': 1024} 8 True 0.0 0.015874624252319336\n{'B': 1, 'Sq': 300, 'Sk': 5000} 1 True 0.0 0.0003789141774177551\n{'B': 1, 'Sq': 300, 'Sk': 5000} 2 True 0.0 0.007492184638977051\n{'B': 1, 'Sq': 300, 'Sk': 5000} 4 True 0.0 0.015645980834960938\n{'B': 1, 'Sq': 300, 'Sk': 5000} 8 True 0.0 0.01246500015258789\nk True {'bad': 0, 'bad_frac': 0.0, 'nonfinite': 0, 'max_abs': 0.015184879302978516}\nv True {'bad': 0, 'bad_frac': 0.0, 'nonfinite': 0, 'max_abs': 0.007505536079406738}\nq True {'bad': 0, 'bad_frac': 0.0, 'nonfinite': 0, 'max_abs': 0.01416921615600586}","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_0124kBDbhK7vuDSWoTDgsMRN","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hSmPCSxVcKAYgVT99q","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"It's interesting that check.py gives slightly slower times since it runs back-to-back without an L2 flush, which could cause thermal/power throttling under sustained load, whereas my benchmark flushes L2 between runs giving the GPU a brief rest—matching what the grader does. I'll jot down these key insights before moving on.\n\nCurrent performance sits around 1.4-1.5 PFLOPS against an expert range of 1.45-1.59, so I'm thinking about pushing further. One idea is bumping BN to 128 to ease smem bandwidth pressure on QK, but that risks blowing the TMEM budget since acc, S double-buffered, and P together exceed 512 columns unless P can alias S somehow, and I'm not sure I can control that allocation directly.\n\nI'm also checking whether single-buffering K and V at BN=128 would still let the pipeliner overlap loads properly — the load for K(j+2) can only start once QK(j+1) finishes freeing the buffer, and similarly V(j+1) waits on PV(j), so each load has roughly one MMA's worth of cycles to complete. Given L2-to-SM bandwidth estimates, a 64KB TMA load takes something like 512-1024 cycles, which is cutting it close but might just work.\n\nHowever, TMEM capacity alone kills BN=128, since 256+256+64 exceeds the budget. So I'm now considering whether using more softmax consumer warps at BN=64 could help, estimating per-thread instruction counts for the exponentials, sums, and packing operations in each softmax iteration.\n\nFor MUFU throughput at BN=64, the exponential work comes out to roughly 512 cycles per iteration, which is about half the tensor core time for QK and PV combined, so it's significant but not clearly the bottleneck on its own. With only one softmax warp per SMSP though, latency hiding is weak since the dependency chain from TMEM load through the max reduction and onward can't overlap with other warp work.\n\nI'm wondering if splitting into 8 softmax warps to share the row work would help, but TMEM lane constraints mean warps would need to split columns and do cross-warp reductions via shared memory -- which is roughly what Triton's default 8-warp partition layout does automatically.\n\nTo isolate the bottleneck, I'm considering ablation tests: swapping out the exp for something cheap to check if it's MUFU-bound, or removing the PV matmul to check if it's tensor-core bound. I should also try simple tuning knobs like num_warps=8, adjusting BN, and checking whether num_stages=3 fits in shared memory budget (it doesn't, since Q plus three K/V stages exceeds capacity) -- and I'm noticing Q gets re-read from shared memory on every QK matmul, which could be a major source of redundant traffic.\n\nAdding up the shared memory per iteration -- Q, K, V, and TMA writes -- it comes to around 192KB, which at typical bandwidth implies more cycles than the tensor core math itself needs, suggesting we're bandwidth-bound at roughly two-thirds of peak throughput rather than compute-bound. Comparing achieved PFLOPS against the theoretical dense BF16 peak gives something like 58% utilization, so increasing BN to let Q be read once per larger block seems like a promising way to cut that redundant traffic.\n\nChecking the generated TTGIR confirms the accumulator allocation is separate, not aliased. I consider splitting QK into two halves for a 128-key block, but that doesn't reduce Q reads since each MMA still reads Q fully. Then I think about whether tcgen05.mma can take the A operand directly from TMEM, which would mean Q never needs to be re-read from shared memory.\n\nTallying TMEM usage with Q resident there, I find it exceeds budget unless S is single-buffered, but that hurts pipeline overlap, and Triton's current lowering doesn't reliably support promoting Q into TMEM. I also consider using 2-CTA mode, where the B operand is split across two CTAs so each one reads half of K/V alongside its own Q.\n\nChecking the bandwidth math for this approach, it comes in just under the per-cycle limit, but it's only supported in gluon, not Triton's tl API, so I'll skip it. Next I'm considering swapping operand roles in the QK matmul so keys become the M dimension, computing S^T = K·Q^T instead, which works out to the same total data movement as the original QK.\n\nFor PV, I need O^T = V^T P^T, requiring 2 MMAs since D=256, with P^T forced through SMEM since the B operand can't live in TMEM—that's a 32KB write-then-read per iteration. Checking TMEM budget: O^T takes 256 cols plus S^T's 2×128 cols equals exactly 512, which fits since P lives in SMEM instead.\n\nSince S^T has keys as rows and queries as columns, softmax now reduces along columns—a cross-lane reduction that's normally costly, but the fixed-reference trick avoids needing per-query max during the loop. I'm now thinking about whether to compute the normalization sum l[query] via cross-lane reduction or instead fold it into the MMA itself by appending an all-ones row to V^T, so the matmul naturally produces the sum alongside O^T.\n\nAppending a ones-row would push V^T from 256 to 257 rows, forcing a third MMA pass (384 total)—wasteful, so that's not a great option. The alternative of tracking per-query max also requires cross-lane communication, and since each thread owns a key row with 128 query columns, broadcasting 128 m_ref values per thread would blow up register usage. On the memory side, I'm noting that TMA writes of K/V tiles into shared memory cost 64KB per iteration, which seems unavoidable unless multiple CTAs share the load.\n\nTrying cluster-based TMA multicast across CTA pairs: this cuts L2 traffic but each SM still has to write its own 64KB into smem, so shared memory bandwidth doesn't improve. Working through the numbers for a BN=64 design pulling Q from smem, I land on roughly 1536 cycles per iteration at 128B/clk, translating to about 5461 FLOP/cycle/SM given the clock speed and per-iteration FLOP count.\n\nThat gives a theoretical ceiling around 1.54 PFLOPS, and since we're measuring 1.40-1.52 PFLOPS in practice, we're clearly bumping up against this smem bandwidth wall — meaning any further speedup has to come from cutting smem traffic. I'm second-guessing whether Blackwell's smem bandwidth is really 128 B/clk/SM like Hopper, and whether tensor core reads from smem share that same port or use a separate path — I recall FA4's use of 2-CTA clustering for hd256 might be specifically targeting this bottleneck.\n\nWorking through the math: at BN=128, a 1-CTA tcgen05 MMA with M=128 N=128 K=16 in bf16 hits exactly 128 B/clk, right at the bandwidth ceiling. Dropping to N=256 only needs 96 B/clk (comfortably under the limit), but N=64 demands 192 B/clk — 1.5x over budget — so with BN=64 the QK matmuls would only run at two-thirds speed due to smem bandwidth starvation.\n\nFor the full iteration at BN=64, I'm tallying smem cycles: QK needs 768 cycles of smem traffic versus 512 for tensor cores, PV needs 256 smem cycles against 512 tensor core cycles, and the TMA writeback adds another 512 smem cycles — totaling 1536 smem cycles versus 1024 tensor core cycles, meaning smem bandwidth becomes the bottleneck. I'm now considering ways to cut that smem traffic, starting with keeping P in TMEM.\n\nMoving Q into TMEM as well would save another 64KB per iteration, pushing total smem down to 1024 cycles and making the kernel tensor-core bound instead — a potential 1.5x speedup — but I need to check TMEM capacity constraints, since O, Q, S, and P buffers together might exceed the available 512 slots unless S is single-buffered or P can alias S. I'm also weighing whether bumping BN to 128 would reduce total bytes moved by roughly 17% compared to two BN=64 iterations, while ruling out smaller query tiles as a worse option.\n\nI also consider whether FP8 could work for P, but the relative error (~6%) exceeds the tolerance derived from bf16 rounding (~0.2%), so that's out. Another angle is restructuring the QK matmul so K becomes the stationary operand instead of Q, which could cut down on redundant re-reads.\n\nLooking at tile sizes more carefully: with BN=128, TMEM usage fits (256+128+64=448), but the issue becomes whether QK for the next tile can overlap with softmax on the current tile while S sits in TMEM, since softmax needs to pull the full 128×128 S block into registers first.\n\nWith single-buffering on S, softmax(j) loading frees the buffer for QK(j+1) to start immediately, so the two can run concurrently—then PV(j) waits for P(j), and softmax(j+1) can potentially overlap with PV(j) if QK(j+1) finishes first. Tracing through the cycle counts, QK and softmax both take roughly similar time, so the pipeline stages should overlap well.\n\nSince P is a single buffer, softmax(j+1) can't write P(j+1) until PV(j) finishes reading P(j), but it can compute during PV(j) and store right after, letting PV(j+1) follow QK(j+2) — so pipelining works with just one S buffer and one P buffer if softmax keeps S in registers. Now I'm wondering how to force Triton into using only one S buffer, since the TMEM buffer count is likely dictated by num_stages or the warp-specialization heuristics.\n\nTwo S buffers would need 576 bytes, which errored before, but that was a different loop structure with rescale, so I want to retry with BN=128 using the v4 loop and num_stages=1, where shared memory for Q, K, V at 64KB each totals 192KB with single-buffered K/V. I also want to check whether `disallow_acc_multi_buffer` in tl.range, meant to stop accumulator multi-buffering in matmul loops, could be repurposed to control S buffering too.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Ryj1PiZBosLJaZ7271xPo7","type":"tool_result","content":"    :note: This is a special iterator used to implement similar semantics to Python's :code:`range` in the context of\n        :code:`triton.jit` functions. In addition, it allows user to pass extra attributes to the compiler.\n    :param arg1: the start value.\n    :param arg2: the end value.\n    :param step: the step value.\n    :param num_stages: pipeline the loop into this many stages (so there are\n        :code:`num_stages` iterations of the loop in flight at once).\n\n        Note this is subtly different than passing :code:`num_stages` as a\n        kernel argument.  The kernel argument only pipelines loads that feed\n        into :code:`dot` operations, while this attribute tries to pipeline most\n        (though not all) loads in this loop.\n    :param loop_unroll_factor: Tells the Triton IR level loop unroller how many\n        times to unroll a for loop that this range is used with. Less than 2 for\n        this value implies no unrolling.\n    :param disallow_acc_multi_buffer: If true, prevent the accumulator of the dot\n        operation in the loop to be multi-buffered, if applicable.\n    :param flatten: automatically flatten the loop nest starting at this loop to\n        create a single flattened loop. The compiler will try to pipeline the\n        flattened loop which can avoid stage stalling.\n    :param warp_specialize: Enable automatic warp specialization on the loop.\n        The compiler will attempt to partition memory, MMA, and vector\n        operations in the loop into separate async partitions. This will\n        increase the total number of warps required by the kernel.\n    :param disable_licm: Tells the compiler it shouldn't hoist loop invariant\n        code outside the loop. This is often useful to avoid creating long liveranges\n        within a loop.\n\n        Note that warp specialization is only supported on Blackwell GPUs and\n        only works on simple matmul loops. Support for arbitrary loops will be\n        expanded over time.\n    \"\"\"\n\n    def __init__(self, arg1, arg2=None, step=None, num_stages=None, loop_unroll_factor=None,\n                 disallow_acc_multi_buffer=False, flatten=False, warp_specialize=False, disable_licm=False):\n        if step is None:\n            self.step = constexpr(1)\n        else:\n            self.step = step\n        if arg2 is None:\n            self.start = constexpr(0)\n            self.end = arg1\n        else:\n            self.start = arg1\n            self.end = arg2\n        self.num_stages = num_stages\n        self.loop_unroll_factor = loop_unroll_factor\n        self.disallow_acc_multi_buffer = disallow_acc_multi_buffer\n        self.flatten = flatten\n        self.warp_specialize = warp_specialize\n        self.disable_licm = disable_licm\n\n    def __iter__(self):\n        raise RuntimeError(\"tl.range can only be used in @triton.jit'd functions\")\n\n    def __next__(self):\n        Graphics                                       : 120 MHz\n        SM                                             : 120 MHz\n        Graphics                                       : Requested functionality has been deprecated\n        Graphics                                       : Requested functionality has been deprecated\n    Max Clocks\n        Graphics                                       : 2032 MHz\n        SM                                             : 2032 MHz\n    Max Customer Boost Clocks\n        Graphics                                       : 2032 MHz\n    SM Clock Samples\n        Max                                            : N/A","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"26bc747d-cc7c-44c5-8db0-0e65e0af5166","timestamp":"2026-10-17T23:45:33.657Z","tool_use_result":{"stdout":"    :note: This is a special iterator used to implement similar semantics to Python's :code:`range` in the context of\n        :code:`triton.jit` functions. In addition, it allows user to pass extra attributes to the compiler.\n    :param arg1: the start value.\n    :param arg2: the end value.\n    :param step: the step value.\n    :param num_stages: pipeline the loop into this many stages (so there are\n        :code:`num_stages` iterations of the loop in flight at once).\n\n        Note this is subtly different than passing :code:`num_stages` as a\n        kernel argument.  The kernel argument only pipelines loads that feed\n        into :code:`dot` operations, while this attribute tries to pipeline most\n        (though not all) loads in this loop.\n    :param loop_unroll_factor: Tells the Triton IR level loop unroller how many\n        times to unroll a for loop that this range is used with. Less than 2 for\n        this value implies no unrolling.\n    :param disallow_acc_multi_buffer: If true, prevent the accumulator of the dot\n        operation in the loop to be multi-buffered, if applicable.\n    :param flatten: automatically flatten the loop nest starting at this loop to\n        create a single flattened loop. The compiler will try to pipeline the\n        flattened loop which can avoid stage stalling.\n    :param warp_specialize: Enable automatic warp specialization on the loop.\n        The compiler will attempt to partition memory, MMA, and vector\n        operations in the loop into separate async partitions. This will\n        increase the total number of warps required by the kernel.\n    :param disable_licm: Tells the compiler it shouldn't hoist loop invariant\n        code outside the loop. This is often useful to avoid creating long liveranges\n        within a loop.\n\n        Note that warp specialization is only supported on Blackwell GPUs and\n        only works on simple matmul loops. Support for arbitrary loops will be\n        expanded over time.\n    \"\"\"\n\n    def __init__(self, arg1, arg2=None, step=None, num_stages=None, loop_unroll_factor=None,\n                 disallow_acc_multi_buffer=False, flatten=False, warp_specialize=False, disable_licm=False):\n        if step is None:\n            self.step = constexpr(1)\n        else:\n            self.step = step\n        if arg2 is None:\n            self.start = constexpr(0)\n            self.end = arg1\n        else:\n            self.start = arg1\n            self.end = arg2\n        self.num_stages = num_stages\n        self.loop_unroll_factor = loop_unroll_factor\n        self.disallow_acc_multi_buffer = disallow_acc_multi_buffer\n        self.flatten = flatten\n        self.warp_specialize = warp_specialize\n        self.disable_licm = disable_licm\n\n    def __iter__(self):\n        raise RuntimeError(\"tl.range can only be used in @triton.jit'd functions\")\n\n    def __next__(self):\n        Graphics                                       : 120 MHz\n        SM                                             : 120 MHz\n        Graphics                                       : Requested functionality has been deprecated\n        Graphics                                       : Requested functionality has been deprecated\n    Max Clocks\n        Graphics                                       : 2032 MHz\n        SM                                             : 2032 MHz\n    Max Customer Boost Clocks\n        Graphics                                       : 2032 MHz\n    SM Clock Samples\n        Max                                            : N/A","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Ryj1PiZBosLJaZ7271xPo7","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01AiNas1XHCEjZdjbXDFmQxp","type":"tool_result","content":"File created successfully at: /logs/agent/sessions/projects/-workspace/memory/hd256-attn-triton-findings.md"}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"23ff1a44-3431-4de6-8679-b1622476f118","timestamp":"2026-10-17T23:45:42.817Z","tool_use_result":{"type":"create","filePath":"/logs/agent/sessions/projects/-workspace/memory/hd256-attn-triton-findings.md","content":"---\nname: hd256-attn-triton-findings\ndescription: \"Key findings for the Triton hd256 causal GQA chunked-prefill attention task on B300 (what worked, compiler pitfalls)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: 150baad0-af53-4541-93d8-2f6edd727504\n  modified: 2026-10-17T23:45:42.807Z\n---\n\nTask (2026-10-17): beat FA4 hd256 split-KV in Triton 3.7.1 on B300 (148 SMs, 2032 MHz, peak bf16 ~2.46 PF).\n\n- Online-softmax O rescale (TMEM round trip of 128x256 fp32) every iteration = 8x slowdown. Fix: fixed per-row\n  reference max from first KV block of the segment (no rescale); if any row exceeds ref by >20 (log2), retry\n  segment with exact max (while-loop retry, max passed via global LSE buffer). Reached ~0.95x expert (v4).\n- Triton WS pitfalls: scf.if containing acc ops inside WS loop -> partition error; reduction of a tl.dot result\n  computed OUTSIDE the WS loop and used inside -> \"parent layout must have rank>=2\" crash; a second loop inside\n  an `if` -> InsertTmemAref assertion. Loop-carried 1D tensor through while loop also crashed.\n- Reordering loop (issue QK(j+1) before softmax(j)/PV(j)) works with warp_specialize=True.\n- BN=64, num_stages=2: SMEM ~197KB, TMEM 512 cols. Likely smem-bandwidth bound (Q re-read per QK).\n- Dev files in /workspace/dev (bench.py harness, v4.py best). Solution in /workspace/solution.py.\n","structuredPatch":[],"originalFile":null,"userModified":false,"memdirStamped":true},"tool_result_meta":[{"id":"toolu_01AiNas1XHCEjZdjbXDFmQxp","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hXqsDRBTm7yifMvnM6","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_015WqLgg14jffkswKZi8GCgJ","name":"Bash","input":{"command":"echo \"- [hd256 attention Triton findings](hd256-attn-triton-findings.md) — what worked/crashed for the B300 hd256 attention kernel task\" > /logs/agent/sessions/projects/-workspace/memory/MEMORY.md; cd /workspace/dev && for cfg in \"128 1\" \"128 2\"; do set -- $cfg; echo \"== BN=$1 ST=$2\"; BN=$1 ST=$2 python dump.py v4.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | grep -v \"^module\\|tt.func\\|scf\\.\\|tt.reduce\" | head -3; done","description":"Save memory index; try BN=128 configs"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":8269,"cache_read_input_tokens":176971,"cache_creation":{"ephemeral_5m_input_tokens":8269,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"b0681f94-97db-4984-88a5-d76bacb0240e","timestamp":"2026-10-17T23:45:44.935Z","request_id":"req_011Cg8hXqVtVpt41P5JmwWuP"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015WqLgg14jffkswKZi8GCgJ","type":"tool_result","content":"== BN=128 ST=1\nshared 197020 tmem 512\n== BN=128 ST=2\nERR out of resource: shared memory, Required: 328092, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\nshared 328092 tmem 512","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c8a9e8de-640c-437d-8d80-bd582ace98e9","timestamp":"2026-10-17T23:45:56.940Z","tool_use_result":{"stdout":"== BN=128 ST=1\nshared 197020 tmem 512\n== BN=128 ST=2\nERR out of resource: shared memory, Required: 328092, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\nshared 328092 tmem 512","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015WqLgg14jffkswKZi8GCgJ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hamkkvqCtnZ2TRmU7F","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Since I can't profile with ncu, I'll run ablation experiments instead, adding a compile-time flag to the attention loop so I can test variants: one that skips the exp2 computation for a cheaper softmax approximation, and another that skips the PV dot product while still using p in the l accumulation to keep the softmax path active.\n\nAdding ABL=3 to skip softmax entirely and use the raw scaled scores directly. Let me write this quickly as v4abl.py.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":559,"cache_read_input_tokens":187424,"cache_creation":{"ephemeral_5m_input_tokens":559,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4f5d496f-0505-4e09-b372-321c6a07e27c","timestamp":"2026-10-17T23:46:19.863Z","request_id":"req_011Cg8hamNg2fCTgpaKHoXfP","thinking_duration_ms":4310,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hamkkvqCtnZ2TRmU7F","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01RDTJLEjk9va5wueoQfFvuB","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v4.py').read()\ns = s.replace(\"BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\\n    # Softmax\",\n              \"BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr, ABL: tl.constexpr = 0):\\n    # Softmax\")\nold = \"\"\"        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\"\"\"\nnew = \"\"\"        if ABL == 1:\n            p = s * qk_scale - m_ref[:, None]\n        elif ABL == 3:\n            p = s\n        else:\n            p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        if ABL != 3:\n            l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([n0, kcol])\n        if ABL != 2:\n            acc = tl.dot(p.to(tl.bfloat16), v, acc)\"\"\"\nassert old in s\ns = s.replace(old, new)\ns = s.replace(\"qk_scale, qpos, m_init, retry == 0,\\n                                            BM, BN, D, WS)\",\n              \"qk_scale, qpos, m_init, retry == 0,\\n                                            BM, BN, D, WS, ABL)\")\ns = s.replace(\"WS: tl.constexpr, RWS: tl.constexpr):\", \"WS: tl.constexpr, RWS: tl.constexpr, ABL: tl.constexpr):\")\ns = s.replace(\"WS=True, RWS=\", \"WS=True, ABL=int(__import__('os').environ.get('ABL', '0')), RWS=\")\nopen('v4abl.py', 'w').write(s)\nEOF\ngrep -n \"ABL\" v4abl.py | head; for a in 1 2 3; do echo \"== ABL=$a\"; ABL=$a BN=64 ST=2 timeout 900 python bench.py v4abl.py --quick 2>&1 | tail -5; done","description":"Ablation runs: no exp, no PV, no softmax"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":559,"cache_read_input_tokens":187424,"cache_creation":{"ephemeral_5m_input_tokens":559,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4117946c-8d6b-4e66-8300-fa80766457a5","timestamp":"2026-10-17T23:46:23.142Z","request_id":"req_011Cg8hamNg2fCTgpaKHoXfP"}
{"type":"system","subtype":"task_started","task_id":"b6zmg1kec","run_id":"0mvd1pdd8-c55c1e52","tool_use_id":"toolu_01RDTJLEjk9va5wueoQfFvuB","description":"Ablation runs: no exp, no PV, no softmax","is_backgrounded":false,"task_type":"local_bash","uuid":"3983c010-27d1-4bfa-b221-a44b10874b93","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"b6zmg1kec","run_id":"0mvd1pdd8-c55c1e52","tool_use_id":"toolu_01RDTJLEjk9va5wueoQfFvuB","status":"completed","output_file":"","summary":"Ablation runs: no exp, no PV, no softmax","uuid":"03483e4e-bbe4-4047-9c57-d3bc24dad01f","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01RDTJLEjk9va5wueoQfFvuB","type":"tool_result","content":"19:               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr, ABL: tl.constexpr = 0):\n35:        if ABL == 1:\n37:        elif ABL == 3:\n41:        if ABL != 3:\n44:        if ABL != 2:\n64:              WS: tl.constexpr, RWS: tl.constexpr, ABL: tl.constexpr):\n101:                                            BM, BN, D, WS, ABL)\n161:                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, ABL=int(__import__('os').environ.get('ABL', '0')), RWS=bool(int(__import__('os').environ.get('RWS', '0'))), num_warps=4, num_stages=int(__import__(\"os\").environ.get(\"ST\", \"2\")))\n== ABL=1\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 394.2 us  expert 379  speedup 0.961  1395 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 379.9 us  expert 356  speedup 0.937  1447 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 726.0 us  expert 692  speedup 0.953  1514 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 412.7 us  expert 381  speedup 0.923  1332 TFLOPS\nGEOMEAN vs expert: 0.944\n== ABL=2\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 340.7 us  expert 379  speedup 1.113  1614 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 341.0 us  expert 356  speedup 1.044  1612 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 640.0 us  expert 692  speedup 1.081  1718 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 341.0 us  expert 381  speedup 1.117  1612 TFLOPS\nGEOMEAN vs expert: 1.088\n== ABL=3\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 388.1 us  expert 379  speedup 0.976  1416 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 375.8 us  expert 356  speedup 0.947  1463 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 706.3 us  expert 692  speedup 0.980  1557 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 407.6 us  expert 381  speedup 0.935  1349 TFLOPS\nGEOMEAN vs expert: 0.959","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"016d34d1-bb51-4a26-94f1-225b548b85fb","timestamp":"2026-10-17T23:46:43.106Z","tool_use_result":{"stdout":"19:               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr, ABL: tl.constexpr = 0):\n35:        if ABL == 1:\n37:        elif ABL == 3:\n41:        if ABL != 3:\n44:        if ABL != 2:\n64:              WS: tl.constexpr, RWS: tl.constexpr, ABL: tl.constexpr):\n101:                                            BM, BN, D, WS, ABL)\n161:                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, ABL=int(__import__('os').environ.get('ABL', '0')), RWS=bool(int(__import__('os').environ.get('RWS', '0'))), num_warps=4, num_stages=int(__import__(\"os\").environ.get(\"ST\", \"2\")))\n== ABL=1\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 394.2 us  expert 379  speedup 0.961  1395 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 379.9 us  expert 356  speedup 0.937  1447 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 726.0 us  expert 692  speedup 0.953  1514 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 412.7 us  expert 381  speedup 0.923  1332 TFLOPS\nGEOMEAN vs expert: 0.944\n== ABL=2\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 340.7 us  expert 379  speedup 1.113  1614 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 341.0 us  expert 356  speedup 1.044  1612 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 640.0 us  expert 692  speedup 1.081  1718 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 341.0 us  expert 381  speedup 1.117  1612 TFLOPS\nGEOMEAN vs expert: 1.088\n== ABL=3\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 388.1 us  expert 379  speedup 0.976  1416 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 375.8 us  expert 356  speedup 0.947  1463 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 706.3 us  expert 692  speedup 0.980  1557 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 407.6 us  expert 381  speedup 0.935  1349 TFLOPS\nGEOMEAN vs expert: 0.959","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01RDTJLEjk9va5wueoQfFvuB","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hcxjMqtx7JYJ3bPw4s","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing the exponential/MUFU computation barely changes timing, so that's not the bottleneck, and dropping softmax entirely only speeds things up marginally too. But skipping the PV matmul while still loading V gives a 15% speedup, suggesting QK alone plus the V loads account for a meaningful chunk of the 340us.\n\nWorking through the math, QK-only compute seems to run at roughly 33% of peak throughput, which points toward memory bandwidth as the real constraint — estimated HBM traffic for the KV tensors could range from 153us to 610us depending on L2 cache reuse, and the fact that ABL=2 likely eliminates V loads via dead code elimination (since the PV result goes unused) would explain why removing that matmul cuts the traffic roughly in half. I want to test this memory-bound hypothesis more directly, maybe by constructing a variant that loads K and V but does trivial compute, though without a profiler I'll have to reason through the L2 hit rate behavior analytically.\n\nSince CTAs sharing the same KV range across different q-tiles launch together and progress in lockstep, the first one to touch a K block pulls it from HBM into L2 while the others should hit in L2 if their requests land within a close enough window. Computing the required bandwidth under a perfect-reuse assumption gives about 2.7 TB/s, well within HBM limits, but with no reuse at all the figure jumps to 10.9 TB/s, which exceeds HBM peak — meaning L2 reuse must be happening, but the L2-to-SM bandwidth itself could be the actual bottleneck given how much traffic each SM is pulling per iteration.\n\nChecking the longer sequence case confirms the same total KV traffic scaling, so the bottleneck analysis holds across tile counts. The 2-CTA approach where each CTA loads only half of the K/V tile and shares the rest via multicast looks like a real win, cutting L2-to-SM traffic in half — this could be replicated using TMA multicast within a CTA cluster of two cooperating q-tile CTAs.\n\nI'm wondering if Triton's cluster support on Hopper/Blackwell actually exposes this multicast path cleanly with warp specialization, since it seems like an obscure and possibly unsupported combination. If clusters aren't viable, the alternative is just maximizing reuse within a single SM, though CTA row tiling already seems maxed out at 128.\n\nNow I'm trying to isolate whether the real bottleneck is L2 bandwidth versus shared memory bandwidth -- maybe by forcing all CTAs to read the same KV range so reads overlap in L2 and seeing if that changes throughput meaningfully.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hfwL6vGpgoAUhM211v","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Testing with a tiny working set that fits entirely in L2 shows a 1.028x speedup, roughly 8% faster than real hardware, while a larger working set exceeding L2 capacity performs about the same as real. This tells me HBM traffic and L2 misses account for roughly that 8% gap, with the remaining performance ceiling coming from elsewhere.\n\nI'm now suspecting imperfect L2 reuse could stem from the B300's dual-die architecture, where each die has its own separate L2 partition and HBM stack connected via the NV-HBI interconnect. If an SM on one die accesses memory whose \"home\" L2 is on the other die, that cross-die traffic would add latency that wouldn't show up in a naive single-L2 model of the simulation.\n\nSince physical addresses are likely interleaved across both dies' memory channels, any given KV block is probably split roughly half-and-half between dies, meaning CTAs reading that block would unavoidably generate cross-die traffic regardless of how CTA scheduling maps to GPCs.\n\nThat makes me suspect the real bottleneck is on-chip smem bandwidth rather than cross-die links, since the 1.55 PF ceiling appears even assuming all L2 hits. I'm thinking through how the 2-CTA MMA approach splits K/V tiles across the paired CTAs to halve each CTA's smem footprint and TMA/B-operand traffic, and wondering what equivalent trick could reduce smem reads in a Triton implementation — maybe exploring whether a larger BN tile size through splitting could help.\n\nI'm checking whether splitting V loads into halves helps fit within SMEM budget, but the combined Q, K-stages, and V-stages still exceed the 227KB limit. Q alone at 64KB is costly since it must stay fully resident across every block, so splitting it isn't viable.\n\nNow I'm estimating whether FP8 precision for Q·K is accurate enough: quantization error per element is roughly 6%, and with 256-dimensional dot products this translates to about 6% relative error in the scores, which should partially average out across many keys in the softmax.\n\nStill, outliers could make this risky given the tight 1-2% RMS tolerance, so this approach likely fails on some hidden distributions and should be skipped. I'm also considering tiling strategies—sharing K across two query tiles in the same CTA runs into TMEM capacity limits since two separate O accumulators won't fit, and organizing a 256-row CTA as two 64-row tiles is equivalent to one 128-row tile anyway, while a full 256×256 O accumulator leaves no room for S. I'm now considering splitting O across registers and TMEM by dimension half to free up space.\n\nRegisters seem promising at first (128×256 fp32 fits within the 256KB register file), but tcgen05 MMA on Blackwell can only accumulate into TMEM, not registers, so I'd have to shuttle partial results between TMEM and registers each iteration—exactly the costly round trip I was trying to avoid. That rules out this option. I'm now tallying the actual on-chip bandwidth cost per 64-key iteration: reads for Q, K, V plus TMA writes totaling 192KB.\n\nAt 128 B/clk smem bandwidth, this works out to roughly 1536 cycles per iteration, which projects to about 1.64 PFLOPS across all SMs at 2.032 GHz — close to the measured 1.55 PFLOPS with L2-resident data, within 6% of the smem-bound ceiling. To push past this, I need to cut smem traffic, and the Q re-read is the biggest target: doubling BN to 128 would roughly halve Q's contribution, dropping total traffic to 160KB and raising the bound to about 1.97 PFLOPS. Getting BN=128 to work requires rethinking TMEM allocation for O and S, likely needing P to alias S or single-buffer S.\n\nThen checking SMEM budget with Q+K+V buffering shows single-buffering fits but two-stage K pipelining would overflow. I'm considering splitting K/V tiles by head dimension instead — breaking a [128, 256] K tile into two [128, 128] halves so the QK dot product can be computed as a sum of two partial dots, which would reduce the per-buffer footprint without exceeding the MMA's smem requirements.\n\nWith single-buffered S, the ordering matters: softmax(j) must drain S into registers before QK(j+1) overwrites it, which barriers enforce by stalling the tensor core briefly on the TMEM load before letting QK(j+1) proceed. This matches the BN=128 ST=1 configuration, which also had single-buffered K/V.\n\nI'm trying to reconcile the reported 512-element TMEM allocation with my count of buffers: s, acc, s_next, and P don't quite add up to that number, so I suspect the compiler is aliasing the prologue's S buffer with P once it becomes dead after the first iteration, and I want to check the TTGIR for that variant to confirm.\n\nReducing Q smem to get BN=128 with double-buffered K/V doesn't seem feasible given the 64KB footprint, and using multiple CTAs per cluster with TMA multicast wouldn't cut smem traffic since each SM still receives the full K/V tile. I'm deciding to accept the ~1.55-1.6 PF ceiling for now and instead focus on closing the L2/HBM gap, reducing sync overhead, examining the combine kernel and launch costs, and improving load balancing — starting by working out the CTA counts and tail effects across different sequence lengths.\n\nFor Sq=512 the tail leaves 4 SMs idle (97.3% utilization, a 2.7% loss), and bumping groups to 19 would push past 148 CTAs into a second wave, which is worse. I'm weighing whether a stream-K style approach that balances at (q-tile, KV block) granularity rather than whole groups could recover that gap, though it sacrifices some L2 locality — this is getting complex for a 2.7% gain.\n\nSince this only affects 2 of 4 shapes (~1.3% geomean impact), I'll set it aside for later and instead measure the combine kernel's overhead by timing the main kernel alone versus with combine included.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3159,"cache_read_input_tokens":190148,"cache_creation":{"ephemeral_5m_input_tokens":3159,"ephemeral_1h_input_tokens":0},"output_tokens":2,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"8c44ab7b-c140-4c37-b773-9d3b23c1ffff","timestamp":"2026-10-17T23:48:10.151Z","request_id":"req_011Cg8hfvxnRxSa1fK5DY9gL","thinking_duration_ms":44963,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hjxJWMRnfrM5F2imcV","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Combine alone with L2 flushed takes 17-21 us, which is substantial, and in the full run some of that cost overlaps since the partials are freshly written and still cached. I'm working out combine's tile and slot counts for Sq=256 to estimate its true memory traffic.\n\nThe actual bottleneck seems to be latency rather than bandwidth: 256 programs each sequentially loop over ~6 slots doing two passes (max then accumulate) with no parallelism across the loop, which stalls on load latency rather than saturating throughput.\n\nOne improvement is to fuse combine into the main kernel using a per-tile atomic counter so the last CTA to finish a (head, q-tile) does the combine itself, using release/acquire semantics around the atomic increment to guarantee visibility of the other CTAs' partial writes.\n\nI also need to reset these counters between calls without violating the no-caching rule — mutating a module-level dict via subscript assignment seems technically allowed by the AST rules since it's not a global/attribute rebind, but it feels fragile if a kernel aborts mid-run and corrupts the counter state, so zeroing with torch.zeros each call might be the safer, if slightly slower, option.\n\nActually I'm reconsidering whether counters are even needed, but fusion requires some form of synchronization, so I'll focus instead on speeding up the combine kernel itself — restructuring it so one program per tile/row-chunk loads all slots at once in a vectorized block, then unrolls the accumulation over slots with loads issued in parallel to boost memory-level parallelism.\n\nI'm also weighing storing partials in bf16 to halve traffic, checking whether the resulting ~0.4% relative error stays within the tolerance budget of combined absolute, RMS, and magnitude error terms.\n\nFp32 is safer but the cost gap seems small if combining is fast, so I'm now considering a single final CTA that reads all partials from L2 and combines them, estimating its bandwidth and timing.\n\nBut that adds a noticeable chunk of latency to the critical path since all tiles finish around the same time. A distributed combine where contributing CTAs each handle a portion after a barrier could help, but it's risky without guaranteed co-residency of all CTAs on the grid.\n\nAn alternative is to have each CTA atomically accumulate unnormalized partials into a global fp32 buffer using a shared reference value, letting a final tiny step normalize—but that requires every segment of a row to agree on the same m_ref, which could mean having each segment cheaply compute QK against a common first KV block.\n\nThe tricky part is that this breaks down if a segment needs to retry with a different reference, since all segments must share the same m_ref for the sums to be directly combinable—so I'd need either a fallback path that stores retries separately and merges them later, or I should weigh the cost of per-element atomic adds across all the segments' output tiles.\n\nEstimating atomic throughput through L2 slices on B300 suggests this could add tens of microseconds unless vectorized, which only partially helps. I'm now considering a hybrid where only the cheap LSE combine uses the last-arriving-CTA trick, while each contributing CTA independently scales and adds its own partial.\n\nFor the last-CTA-does-the-combine approach, I estimate reading ~640KB of partials plus writing 64KB bf16 output takes roughly 2.5-4 microseconds per tile given L2 bandwidth per SM, and since all tiles finish around the same time, this adds a uniform tail of a few microseconds to the kernel.\n\nComparing against the current separate combine kernel (~10us), this fusion only saves about 1.5% overall. I note the last CTA's own partial doesn't need a round-trip through memory since it's already in registers, and that an alternative with optimized bf16 partials and a separate kernel yields similar costs anyway.\n\nThe counter reset problem for the fused approach is trickier - I need either a memset kernel before the main kernel (~2us overhead) or a monotonic epoch scheme where counters never reset and each call tracks its own expected final count.\n\nTracking call indices would require host-side state, like a module-level dict - which feels borderline with the \"no caching between calls\" spirit even though it's not caching actual results, so I'd rather avoid it. A safer option is having the last CTA reset the counter to zero after reading it, with the buffer persisting across calls via a cached module-level tensor initialized to zeros on first use.\n\nSubscript assignment should pass the static check since it only flags attribute targets, and counters aren't really \"results\" being cached, though I need to handle varying shapes by sizing the buffer appropriately or keying by shape. I'll set this fusion idea aside for now and focus on optimizing the main kernel further since it dominates runtime - starting with closing the L2 locality gap by improving how CTAs within a group access shared KV blocks.\n\nChecking the TMA load pattern: each K block load reads 64 rows of 512-byte contiguous segments, which should map efficiently to DRAM. Estimating total HBM traffic assuming perfect reuse gives roughly 2.75 TB/s average bandwidth usage, well under the 8 TB/s peak, so that's not likely the bottleneck unless access patterns across groups cause redundant reads.\n\nEach of the 37 groups handles a distinct contiguous slice of the KV space (~29MB), streamed in lockstep by 4 CTAs, which should keep DRAM traffic efficient. Within a group, simultaneous requests for the same 64KB block should merge via L2 MSHRs so DRAM is only read once -- but I'm now wondering if having 2 dies with a split L2 means the 4 CTAs of a group could land on different dies, breaking that merging assumption.\n\nOn B200, I believe the L2 is partitioned by die ownership of the memory, so cross-die requests ride the D2D link (NV-HBI, 10TB/s bidirectional). If half our ~11TB/s L2→SM traffic crosses dies, that's ~5.5TB/s, which could be pushing against the limit -- so I'm thinking about whether we can pin a group's 4 CTAs and its KV block's home memory to the same die, though we may not control physical placement directly.\n\nI don't have control over how physical addresses map to dies, but I could potentially read %smid via inline PTX in Triton to infer which die a CTA landed on and build a persistent scheme around that -- though it's complex and the die mapping itself is unknown, so I'll set it aside for now. Other angles worth considering: better load balancing since Sq=512 only uses 144 of 148 SMs, and reducing synchronization overhead in the warp-specialized pipeline by examining its current partitions.\n\nLooking at register allocation, there seem to be extra MMA and load partitions with one warp each alongside the four softmax warps, totaling six warps. I'm also wondering about the epilogue where the accumulator gets pulled from TMEM into registers -- that's a lot of data per thread with only four warps, which could risk spilling, though the PTX showed no local memory loads earlier, so the compiler must be chunking the load efficiently. The per-iteration masked branch check is just a cheap scalar compare, so that's not a concern, and larger D chunking doesn't seem applicable here.\n\nBefore digging into the SASS for the inner loop of both partitions, I want to try some cheap experiments first: bumping num_warps to 8 for the softmax partition, playing with the maxnreg option, and testing different BN values. Let me start with num_warps=8.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5364,"cache_read_input_tokens":193307,"cache_creation":{"ephemeral_5m_input_tokens":5364,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"ef821aa1-2dfa-4561-9411-5b92ceed8d3e","timestamp":"2026-10-17T23:49:11.841Z","request_id":"req_011Cg8hjwyAfLNGqvfNuHwtb","thinking_duration_ms":52030,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hjxJWMRnfrM5F2imcV","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_0157cNFE7pjrywpnufdpBYJM","name":"Bash","input":{"command":"sed -i 's/RWS=bool(int(__import__(.os.).environ.get(.RWS., .0.))), num_warps=4/RWS=bool(int(__import__(\"os\").environ.get(\"RWS\", \"0\"))), num_warps=int(__import__(\"os\").environ.get(\"NW\", \"4\"))/' v4.py && grep -n \"num_warps=int\" v4.py | head -2; NW=8 BN=64 ST=2 timeout 900 python bench.py v4.py --quick 2>&1 | tail -5","description":"Try num_warps=8 for the main kernel"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5364,"cache_read_input_tokens":193307,"cache_creation":{"ephemeral_5m_input_tokens":5364,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"3a0c54d8-3ffd-44b9-8069-8938f008a513","timestamp":"2026-10-17T23:49:11.972Z","request_id":"req_011Cg8hjwyAfLNGqvfNuHwtb"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8huKbvLKvV9cscKivxg","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tallying up the tensor memory allocations - s_100, acc, s_next, and the bf16 P tensor - and the total seems to exceed the 512-column budget, so something must be getting reused or packed more tightly than I assumed.\n\nActually, s_100 is likely dead after the prologue since the loop-carried value cycles through s_next, which means P could reuse those freed columns based on liveness analysis rather than needing fresh space. That changes the math: acc (256) + s_next (128) + P (64 or 128) fits comfortably within 512, and I'm now working through how single-buffered S at BN=128 versus double-buffered S at BN=64 affects the pipelining between QK and softmax stages.\n\nThe real constraint turns out to be SMEM single-buffering of K and V (64KB each), which gave the 0.83x slowdown. I'm testing whether splitting K and V tiles into smaller independent load ops (halves along the D or key dimension) could let me afford 2 pipeline stages within the 227KB budget — but since each load op gets its own multi-buffer allocation regardless of split size, splitting into 2 loads per tensor at 2 stages still blows past budget (320KB), so I'm trying 4 independent 32KB load ops with single-stage buffering instead (192KB total with Q).\n\nWith single buffers per op, I'm tracing through the timeline of overlap: since each load op is independent, finer-grained overlap becomes possible — k_lo for the next iteration can start loading as soon as the first half of QK for the following iteration completes, rather than waiting for the whole K/V tile. I'm working out the available window for each load to complete before it's needed, based on the sequence of QK and PV sub-operations in the tensor core pipeline.\n\nThat window of 1536 cycles seems roughly sufficient, giving about 1.5 stages of effective prefetch. I'm questioning whether Triton's pipeliner with num_stages=1 would actually issue the next load that early, since with only one buffer per op it can only fire load(j+1) once the MMA consuming load(j) finishes—so the behavior matches what I described. I'm now double-checking the shared memory accounting from the earlier BN=128 run, breaking down the 197800 bytes across Q, K, and V buffers.\n\nThe split version gives the same total shared memory: Q 64KB plus four 32KB chunks equals 192KB, matching the earlier figure. TMEM for BN=128 also fits within the 512 reported limit once I account for accumulator and S buffers.\n\nComparing smem traffic: for 128 keys, QK needs 128KB (Q+K) versus 192KB for the 2×BN64 approach, and PV adds another 64KB, giving 320KB total versus 384KB—about 17% less traffic, which could translate to a meaningful speedup if we're smem-bound, though the single-buffered S might offset some of that gain. Now I'm working through how the S-split would work for 128 keys, since we actually want N=128 for the Q-side MMA rather than two separate N=64 operations.\n\nI'm sketching the K-split approach: splitting K along the feature dimension into two 128-wide halves and chaining two dot products into the same accumulator to compute S, with Q similarly split into low and high halves loaded as separate shared memory tensors. Then for PV, I'm considering how to split P (which lives in TMEM as bf16) into column halves to pair with corresponding V halves for the accumulation, weighing whether to reshape P directly or derive the two halves from the two S outputs instead.\n\nThis works by splitting the accumulator into two TMEM halves, acc_lo and acc_hi, each updated by a separate PV matmul reading P from TMEM twice with no extra smem cost, while V is loaded in two 32KB chunks.\n\nTallying it up: 192KB of smem reads plus 128KB of TMA writes gives 320KB per 128 keys, and TMEM usage comes out around 448-512 with acc_lo, acc_hi, S, and packed P. For the epilogue, each half just divides by l and stores separately, which should be fine.\n\nNow I'm sketching v5's structure: BN=128, Q split into two [128,128] tiles, K and V each split into lo/hi halves loaded via descriptors, single-stage pipelining, keeping the restructured loop that issues QK(j+1) before softmax(j). I'm realizing that with single-buffered S this doesn't quite work -- computing S for j+1 while softmax(j) is still running needs two S buffers unless softmax reads s into registers first, which pushes TMEM budget to acc 256 + S 256, leaving little room for P.\n\nI'm reconsidering whether the original loop order (QK(j) → softmax(j) → PV(j)) might actually suit the single-S-buffer case better, since the restructured order requires softmax(j) to free the S buffer before QK(j+1) can issue, creating a tighter dependency chain through the tensor core sequence.\n\nSoftmax(j+1) needs to finish storing P(j+1) by the time QK(j+2) completes, and since it overlaps with PV(j) and QK(j+2), it has about two MMA phases worth of time (~2048 cycles at BN=128) to complete. Time to draft v5.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1220,"cache_read_input_tokens":206069,"cache_creation":{"ephemeral_5m_input_tokens":1220,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"24b8f0b5-26da-4597-9512-67f9da60f9ef","timestamp":"2026-10-17T23:51:02.405Z","request_id":"req_011Cg8huKEbNijAHKvMf4vSS","thinking_duration_ms":35700,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8huKbvLKvV9cscKivxg","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"num_warps=8 gets us to 0.98×. Next I'll test BN=128 with Q, K, and V split into 32 KB halves to cut SMEM traffic while keeping usage around 192 KB.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1220,"cache_read_input_tokens":206069,"cache_creation":{"ephemeral_5m_input_tokens":1220,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"af9e81b9-bd7f-4c3b-a8e9-aba7ec5f685d","timestamp":"2026-10-17T23:51:02.408Z","request_id":"req_011Cg8huKEbNijAHKvMf4vSS","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8huKbvLKvV9cscKivxg","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01PgwM5FNXj6n1bGvnQK4fgn","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v4.py').read()\nold_loop = s[s.index('@triton.jit\\ndef _attn_loop'):s.index('@triton.jit\\ndef _first_max')]\nnew_loop = '''@triton.jit\ndef _attn_loop(q0, q1, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units): no rescaling of the accumulator.\n    DH: tl.constexpr = D // 2\n    offs_n = tl.arange(0, BN)\n    acc0 = tl.zeros((BM, DH), tl.float32)\n    acc1 = tl.zeros((BM, DH), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k0 = k_desc.load([lo, kcol])\n    k1 = k_desc.load([lo, kcol + DH])\n    s = tl.dot(q0, k0.T)\n    s = tl.dot(q1, k1.T, s)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn0 = k_desc.load([n0 + BN, kcol])\n        kn1 = k_desc.load([n0 + BN, kcol + DH])\n        s_next = tl.dot(q0, kn0.T)\n        s_next = tl.dot(q1, kn1.T, s_next)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where((n0 == lo) & fresh, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        v0 = v_desc.load([n0, kcol])\n        v1 = v_desc.load([n0, kcol + DH])\n        acc0 = tl.dot(pb, v0, acc0)\n        acc1 = tl.dot(pb, v1, acc1)\n        s = s_next\n    return acc0, acc1, l_i, m_max, m_ref\n\n\n'''\ns = s.replace(old_loop, new_loop)\ns = s.replace(\"\"\"        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\"\"\", \"\"\"        kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D // 2])\n        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D // 2])\"\"\")\ns = s.replace(\"\"\"        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n        q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\"\"\", \"\"\"        rdh = tl.arange(0, D // 2)\n        q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rdh[None, :]\n        q0 = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n        q1 = tl.load(q_ptr + D // 2, mask=qmask[:, None], other=0.0)\"\"\")\ns = s.replace(\"\"\"        acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init, retry == 0,\n                                            BM, BN, D, WS)\"\"\", \"\"\"        acc0, acc1, l_i, m_max, m_ref = _attn_loop(q0, q1, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init,\n                                                   retry == 0, BM, BN, D, WS)\"\"\")\ns = s.replace(\"\"\"        o = acc / tl.where(valid, l_i, 1.0)[:, None]\"\"\", \"\"\"        inv = 1.0 / tl.where(valid, l_i, 1.0)\n        o0 = acc0 * inv[:, None]\n        o1 = acc1 * inv[:, None]\"\"\")\ns = s.replace(\"\"\"        tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (over == 0))\"\"\",\n\"\"\"        o_ptr = OP + (slot * BM + rows[:, None]) * D + rdh[None, :]\n        tl.store(o_ptr, o0, mask=(rows < BM)[:, None] & (over == 0))\n        tl.store(o_ptr + D // 2, o1, mask=(rows < BM)[:, None] & (over == 0))\"\"\")\nopen('v5.py', 'w').write(s)\nEOF\ngrep -n \"_attn_loop(q0\" v5.py; for st in 1 2; do echo \"== ST=$st\"; NW=8 BN=128 ST=$st python dump.py v5.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | grep -v \"^module\\|tt.func\\|scf\\.\\|tt.reduce\" | head -3; grep -n \"tmem_alloc\" /tmp/k.ttgir | cut -c1-160; done","description":"Build v5 with BN=128 split halves"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1220,"cache_read_input_tokens":206069,"cache_creation":{"ephemeral_5m_input_tokens":1220,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a6d01007-77e7-4ca7-8828-6b27f5e2cfcd","timestamp":"2026-10-17T23:51:16.081Z","request_id":"req_011Cg8huKEbNijAHKvMf4vSS"}
{"type":"system","subtype":"task_started","task_id":"blq4a5qhq","run_id":"0mvd1vnej-313f5474","tool_use_id":"toolu_01PgwM5FNXj6n1bGvnQK4fgn","description":"Build v5 with BN=128 split halves","is_backgrounded":false,"task_type":"local_bash","uuid":"3e3b006e-a47f-4e69-ac81-5b9779153b77","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"blq4a5qhq","run_id":"0mvd1vnej-313f5474","tool_use_id":"toolu_01PgwM5FNXj6n1bGvnQK4fgn","status":"completed","output_file":"","summary":"Build v5 with BN=128 split halves","uuid":"bac0ac3a-c600-4065-980b-57c289892dce","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01PgwM5FNXj6n1bGvnQK4fgn","type":"tool_result","content":"18:def _attn_loop(q0, q1, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n104:        acc0, acc1, l_i, m_max, m_ref = _attn_loop(q0, q1, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init,\n== ST=1\nERR out of resource: tensor memory, Required: 768, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\nshared 197960 tmem 768\n253:      %s_108 = ttng.tmem_alloc : () -> !ttg.memdesc<128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc323)\n299:      %acc1_126 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc331)\n302:      %acc0_128 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc330)\n305:      %s_next_130 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc329)\n349:      %s_next_159 = ttng.tmem_alloc : () -> !ttg.memdesc<2x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc328)\n350:      %acc0_160 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc330)\n351:      %acc1_161 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc331)\n== ST=2\nERR out of resource: shared memory, Required: 329020, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\nshared 329020 tmem 768\n253:      %s_108 = ttng.tmem_alloc : () -> !ttg.memdesc<128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc321)\n299:      %acc1_126 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc329)\n302:      %acc0_128 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc328)\n305:      %s_next_130 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc327)\n365:      %s_next_167 = ttng.tmem_alloc : () -> !ttg.memdesc<2x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc326)\n366:      %acc0_168 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc328)\n367:      %acc1_169 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc329)","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"bcda6485-d340-40cc-8036-44a454f99786","timestamp":"2026-10-17T23:51:26.296Z","tool_use_result":{"stdout":"18:def _attn_loop(q0, q1, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n104:        acc0, acc1, l_i, m_max, m_ref = _attn_loop(q0, q1, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init,\n== ST=1\nERR out of resource: tensor memory, Required: 768, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\nshared 197960 tmem 768\n253:      %s_108 = ttng.tmem_alloc : () -> !ttg.memdesc<128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc323)\n299:      %acc1_126 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc331)\n302:      %acc0_128 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc330)\n305:      %s_next_130 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc329)\n349:      %s_next_159 = ttng.tmem_alloc : () -> !ttg.memdesc<2x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc328)\n350:      %acc0_160 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc330)\n351:      %acc1_161 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc331)\n== ST=2\nERR out of resource: shared memory, Required: 329020, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\nshared 329020 tmem 768\n253:      %s_108 = ttng.tmem_alloc : () -> !ttg.memdesc<128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc321)\n299:      %acc1_126 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc329)\n302:      %acc0_128 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc328)\n305:      %s_next_130 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc327)\n365:      %s_next_167 = ttng.tmem_alloc : () -> !ttg.memdesc<2x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc326)\n366:      %acc0_168 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc328)\n367:      %acc1_169 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc329)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01PgwM5FNXj6n1bGvnQK4fgn","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hyqb5kMC5nLVj7eG7C","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tracking the TMEM memory layout and noticing P gets duplicated for the two PV dot products, which seems wasteful and is making the buffer allocation messy to reason about.\n\nTrying a single-accumulator approach with a fully concatenated V tile might avoid duplicating P, but then I need to check whether S still ends up double-buffered due to how the compiler pipelines the loop iterations, which could blow the memory budget regardless.\n\nActually, splitting V along the key dimension instead of the head dimension looks more promising — since each thread holds a full row of S in TMEM's 32x32b layout, splitting P's columns is just a register-level selection with no actual data movement needed.\n\nBut I'm running into a TMEM buffering problem: double-buffered S plus the split P tensors and accumulator push the total well past budget. I think the difference comes down to whether the loop uses a chained dot product (forcing two S buffers) versus the restructured order that only needed one — the warp-specialization pass must be deciding buffer count based on that dependency structure.\n\nLet me try keeping K unsplit but splitting V by keys instead, halving P, and using a single accumulator — checking SMEM at 192KB and hoping TMEM lands near 448 if S stays single-buffered like the earlier working variant.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":7528,"cache_read_input_tokens":207289,"cache_creation":{"ephemeral_5m_input_tokens":7528,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"30b8ccbc-7e89-4b7a-8a79-008dd0438c2c","timestamp":"2026-10-17T23:51:42.753Z","request_id":"req_011Cg8hyqEzffevDPi8TnB2n","thinking_duration_ms":14466,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hyqb5kMC5nLVj7eG7C","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01FZBVwvjNv3DZAtrmL6RCcS","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v4.py').read()\nold_loop = s[s.index('@triton.jit\\ndef _attn_loop'):s.index('@triton.jit\\ndef _first_max')]\nnew_loop = '''@triton.jit\ndef _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units): no rescaling of the accumulator.\n    BH: tl.constexpr = BN // 2\n    offs_n = tl.arange(0, BN)\n    acc = tl.zeros((BM, D), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k = k_desc.load([lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where((n0 == lo) & fresh, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        pa, pb = p.to(tl.bfloat16).reshape([BM, 2, BH]).permute(0, 2, 1).split()\n        va = v_desc.load([n0, kcol])\n        vb = v_desc.load([n0 + BH, kcol])\n        acc = tl.dot(pa, va, acc)\n        acc = tl.dot(pb, vb, acc)\n        s = s_next\n    return acc, l_i, m_max, m_ref\n\n\n'''\ns = s.replace(old_loop, new_loop)\ns = s.replace(\"\"\"        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN, D])\"\"\", \"\"\"        vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D], strides=[HKV * D, 1],\n                                       block_shape=[BN // 2, D])\"\"\")\nopen('v5b.py', 'w').write(s)\nEOF\nfor st in 1; do echo \"== ST=$st\"; NW=8 BN=128 ST=$st python dump.py v5b.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | grep -v \"^module\\|tt.func\\|scf\\.\\|tt.reduce\" | head -3; grep -n \"tmem_alloc\\|local_alloc.*bf16\" /tmp/k.ttgir | cut -c1-160; done","description":"Try BN=128 with V split by keys, P halves"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":7528,"cache_read_input_tokens":207289,"cache_creation":{"ephemeral_5m_input_tokens":7528,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4788693b-fd4e-47b4-9a73-9111d8bd4803","timestamp":"2026-10-17T23:51:48.923Z","request_id":"req_011Cg8hyqEzffevDPi8TnB2n"}
{"type":"system","subtype":"task_started","task_id":"bp5ge615d","run_id":"0mvd1wcqq-11bd0753","tool_use_id":"toolu_01FZBVwvjNv3DZAtrmL6RCcS","description":"Try BN=128 with V split by keys, P halves","is_backgrounded":false,"task_type":"local_bash","uuid":"b923506f-c8ba-4b13-aea9-4e45be33f948","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bp5ge615d","run_id":"0mvd1wcqq-11bd0753","tool_use_id":"toolu_01FZBVwvjNv3DZAtrmL6RCcS","status":"completed","output_file":"","summary":"Try BN=128 with V split by keys, P halves","uuid":"d41a2be6-8b12-453a-80f0-9969f8d737e2","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01FZBVwvjNv3DZAtrmL6RCcS","type":"tool_result","content":"== ST=1\nERR out of resource: tensor memory, Required: 768, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\nshared 205080 tmem 768\n203:      %q_80 = ttg.local_alloc %q_79 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc205)\n228:      %k = ttg.local_alloc : () -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc303)\n236:      %s_100 = ttng.tmem_alloc : () -> !ttg.memdesc<128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc333)\n265:      %acc_112 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc308)\n268:      %s_next_114 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc306)\n272:      %s_next_117 = ttg.local_alloc : () -> !ttg.memdesc<1x128x256xbf16, #shared, #smem, mutable> loc(#loc306)\n279:      %va = ttg.local_alloc : () -> !ttg.memdesc<1x64x256xbf16, #shared, #smem, mutable> loc(#loc309)\n286:      %vb = ttg.local_alloc : () -> !ttg.memdesc<1x64x256xbf16, #shared, #smem, mutable> loc(#loc310)\n305:      %acc_138 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc307)\n306:      %acc_139 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x64xbf16, #tmem2, #ttng.tensor_memory, mutable> loc(#loc307)\n307:      %acc_140 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x64xbf16, #tmem2, #ttng.tensor_memory, mutable> loc(#loc308)","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e2eef477-5b13-4628-961a-f848663c6a33","timestamp":"2026-10-17T23:51:53.798Z","tool_use_result":{"stdout":"== ST=1\nERR out of resource: tensor memory, Required: 768, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\nshared 205080 tmem 768\n203:      %q_80 = ttg.local_alloc %q_79 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc205)\n228:      %k = ttg.local_alloc : () -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc303)\n236:      %s_100 = ttng.tmem_alloc : () -> !ttg.memdesc<128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc333)\n265:      %acc_112 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc308)\n268:      %s_next_114 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x128xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc306)\n272:      %s_next_117 = ttg.local_alloc : () -> !ttg.memdesc<1x128x256xbf16, #shared, #smem, mutable> loc(#loc306)\n279:      %va = ttg.local_alloc : () -> !ttg.memdesc<1x64x256xbf16, #shared, #smem, mutable> loc(#loc309)\n286:      %vb = ttg.local_alloc : () -> !ttg.memdesc<1x64x256xbf16, #shared, #smem, mutable> loc(#loc310)\n305:      %acc_138 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc307)\n306:      %acc_139 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x64xbf16, #tmem2, #ttng.tensor_memory, mutable> loc(#loc307)\n307:      %acc_140 = ttng.tmem_alloc : () -> !ttg.memdesc<1x128x64xbf16, #tmem2, #ttng.tensor_memory, mutable> loc(#loc308)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01FZBVwvjNv3DZAtrmL6RCcS","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i1s8ee22E4HwTtxnjH","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I notice two separate accumulator allocations (128x256) for what should be chained dot operations — this looks like a compiler artifact from the warp-specialization pass splitting the accumulators unexpectedly, which seems fragile. I'm wondering if fusing the two PV dots into a single operation with K=128 might avoid this issue.\n\nTesting a single-buffered 64KB V tile, but the memory footprint quickly becomes a problem: Q, K, and V tiles together exceed available SMEM when I try to get double-buffering at BN=128. I'm now considering restructuring the loop so QK and PV operate at different granularities, keeping K tiles at 128 while handling V in smaller chunks, to see if that resolves both the smem pressure and the duplicate accumulator issue.\n\nWorking through the actual numbers: at BN=128 with single-stage buffering, the 64KB K load can't finish within the PV compute window before the next QK stage needs it, causing a stall -- which explains why that configuration underperforms. Since Triton restricts block sizes to powers of two, BN=64 with two pipeline stages seems like the practical compromise, giving roughly 192KB of combined smem traffic per 64-key block. I'm also wondering whether TMA writes actually share bandwidth with the MMA operand reads in smem, since that would further constrain throughput.\n\nFor remaining optimization directions, I'm narrowing to three: tightening L2/HBM access patterns for maybe a 5-8% gain, cutting down TMA traffic even though both K and V are required, or improving synchronization overlap. Testing with a fully L2-resident working set showed about an 8% improvement over the baseline, suggesting that memory locality effects account for a meaningful chunk of the remaining gap.\n\nThinking further, since the B300 has two dies, I suspect CTA scheduling order could be causing cross-die traffic -- if consecutive CTA IDs covering the same KV range get split across dies, each die ends up re-reading the same KV block. I wonder if reading the SM ID via inline assembly could let me build a persistent scheduler that groups CTAs by die to avoid this duplication, though the actual SM-to-die mapping is still unknown to me.\n\nSince grid size equals 148 SMs and each SM can only hold one CTA due to TMEM limits, the SM ID should map one-to-one with CTAs, meaning I could use smid grouped by small ranges (like smid // 4) as a proxy for die locality and test different groupings empirically to see which performs best.\n\nBut this is risky: if an SM is still occupied by a leftover CTA from a prior kernel, our CTA could get scheduled later on an SM already used by another of our CTAs, causing duplicate smid values — leading to duplicated and missing work, which would silently corrupt results. That's too fragile to rely on, so I should consider atomic work-stealing instead, though that breaks the correlation between ticket number and physical SM/die location that we need.\n\nI could instead use smid purely as a locality hint while relying on atomic counters per die for correctness, with a fallback for when a die's queue runs dry — though this adds complexity and requires a memset kernel to reset counters each call. Before going further, I want to empirically test whether die locality even matters by rearranging group CTA ID assignment (spaced apart vs consecutive) and comparing performance.\n\nI could run a smid-tracing kernel across many CTAs to see if consecutive CTAs land on consecutive SMs, but that's probably too indirect to reveal die placement. Simpler to just try different CTA-to-(kt,g) mapping variants directly and measure performance — current consecutive mapping, a spaced mapping, and a pairwise-interleaved mapping based on parity.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3448,"cache_read_input_tokens":214817,"cache_creation":{"ephe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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i6usV6F9mtajM6Dx5i","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"There's notable variance on the B=2 shape and on Sq512/Sk128K runs, likely from memory placement — each allocation maps to different physical pages and die/channel combos the grader controls, not me. I also noticed MAP=1 performed clearly worse since it spaced out members instead of using consecutive CTA IDs.\n\nI'm comparing the memory footprint of B=2 shapes against B=1 equivalents and they end up structurally similar, yet the timing variance differs — this points more toward HBM page placement or L2 set conflicts than genuine compute differences. I'll set this aside for now and consider benchmarking each shape multiple times with fresh allocations to get a more reliable median measurement.\n\nLooking ahead, I want to tackle the combine kernel's overhead, improve SM utilization for the Sq=512 shapes (currently only using 144 of 148 SMs), and refine L2 locality further. For Sq=512, I'm working out how to balance 64 (head, q-tile) streams across 148 CTAs so each gets a roughly equal share of the block work, trying to figure out how CTAs within a group should divide KV ranges across different q-tiles.\n\nSince 148 doesn't divide evenly into groups of 8, I'm considering groups of 4 instead—paired groups covering different q-tile halves of the same head could still achieve L2 reuse as long as they run in lockstep on the same KV range, hitting the same cache lines at the same time even though they're separate groups.\n\nI try another angle: assign individual CTAs to a linearized (head, block, q-tile) space ordered so consecutive CTAs share KV positions, but that forces a CTA to juggle multiple q-tiles for one block, needing extra accumulators—not viable. Then I consider restructuring the query tile to 128 rows from a single head instead of splitting across two heads, which changes the tile count per head but raises the question of how KV sharing across heads interacts with this new tiling.\n\nI'm checking the math on how the 18 groups of 8 plus one group of 4 split the 8 heads × 8 q-tiles of block-work, confirming the leftover slice works out to exactly 4 times the per-CTA block count — so the remaining group of 4 just needs to cover that residual slice spanning across heads.\n\nThis generalizes to groups of G CTAs covering a KV range for QT q-tiles, each handling QT/G q-tiles sequentially — main groups use G=QT (one q-tile per CTA), while the remainder group uses G=4 (two q-tiles per CTA), re-reading the same range across passes. That re-read range is small enough it should fit comfortably in L2 cache.\n\nBut for arbitrary Sq this gets messy, since QT=cdiv(Sq,64) doesn't always divide 148 evenly — checking shapes like Sq=384, 1024, 768, 320 shows the grouping sizes shift each time. The real solution is a persistent kernel: treat work as units of (head, q-tile, block range) and assign them across the 148 CTAs with a general balancing scheme that preserves L2 locality.\n\nA simpler fallback: just set groups = floor(148/QT) and accept idle SMs, since the loss from that is only around 2-3% across the QT values I checked — not worth over-engineering yet. I'll defer this and move on to ranking priorities: fusing/speeding up the combine cost (~2.5%), handling remainder SMs (~1.4% avg), and then memory placement/L2 effects, which could be more significant.\n\nOn host overhead, I'm wondering if Triton's launch overhead (~20-30us) is actually hidden in my benchmark since the preceding flush.zero_() keeps the GPU busy with a memset while the CPU proceeds to record the timing event and issue the kernel launch — meaning the measured overhead might be masked rather than eliminated.\n\nComparing per-shape medians against the expert's reference times, ours come out slightly slower (ratios around 0.96-0.98), but since the grader times both runs interleaved on potentially different hardware instances with different clocks, I should be cautious about reading too much into these absolute comparisons.\n\nNow I'm designing the fused combine approach: each CTA writes its partial output then atomically increments a per-tile counter, and whichever CTA is last to finish takes responsibility for reading all the partials and writing the final combined output, resetting the counter afterward.\n\nI need to think carefully about memory ordering here—whether Triton's scalar atomics execute once per CTA (with a single thread performing the op and broadcasting results) or across all threads, since that affects whether other threads' writes are properly visible before the atomic signals completion.\n\nSince Triton lacks a direct fence primitive, I'd need inline asm for an acquire-release GPU fence as a safety measure. I also need to track segment counts per tile and handle resetting the shared counter buffer between calls, weighing a fresh zeroed buffer per call against a persistent one reset by the last finishing CTA.\n\nThe static checker likely allows a dict-based buffer assignment since it only rejects attribute targets, and a plain counter isn't really \"cached results\" in the sense the no-caching rule targets. Still, I'm wary of edge cases like a crashed kernel leaving counters dirty for the next call, or multi-device scenarios, so I'm also considering an epoch-based counter scheme to sidestep the reset problem entirely.\n\nWeighing the cost of a separate memset kernel (roughly 1.5-2us) against the combine kernel's 6-10us, it seems worth it if it avoids cross-call state issues. I'm also toying with using the partial LSE buffer itself as a completion flag instead of a dedicated counter, though that still needs some way to identify the last arriving block.\n\nAnother option is designating a fixed CTA to spin-wait on flags from the other contributing CTAs, but that only works safely if all CTAs are co-resident on the device simultaneously — true here since the grader gives us exclusive GPU access, and this persistent-kernel assumption mirrors what stream-K style kernels already do in production. The remaining wrinkle is that any flag-based scheme still needs per-call resetting, which brings me back to the epoch/sequence-number idea and the state problem.\n\nI'm now estimating the latency of a final combine step done by the last CTA: reading roughly five 128KB partials and writing 64KB out, totaling around 640KB moved by a single SM, which at an assumed L2 bandwidth works out to roughly 3 microseconds added to the critical path — a cost that has to be absorbed by 8 warps working after the warp-specialized region finishes.\n\nSwitching the partials to bf16 would halve the bytes and cut this to about 1.6 microseconds, and since not all tiles finish at the same time, earlier combines can overlap with other CTAs still doing main work, so only the final tile's combine truly adds to the tail latency.\n\nActually, reconsidering the separate combine kernel instead of fusing it in—simpler, no atomics. Its cost is mostly launch gap plus reading ~24MB of mostly L2-resident partials and writing 2MB back; with good parallelism that should be ~3 us, but it's currently measuring 8-10 us, so there's room to get it down to ~4 us with a better combine kernel.\n\nI'm working out the grid layout: tiling rows into groups of 8 per program, but loading the full block of lse values and partials per program risks blowing up register usage, so I need to loop over tiles instead of loading everything at once.\n\nActually, I realize a cleaner split works better: compute the max and softmax weights from the lse values first in one pass, then loop separately to accumulate the weighted output, letting the compiler pipeline those independent loads across iterations.\n\nI'm weighing whether to use a static unrolled loop with a constexpr max segment count and masking, versus a dynamic loop, since nseg varies based on group/head counts across different sequence lengths and batch sizes.\n\nGiven the segment count can grow large for small query tiles, I'll go with a dynamic pipelined loop instead, then implement the updated combine function and benchmark it.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1199,"cache_read_input_tokens":222119,"cache_creation":{"ephemeral_5m_input_tokens":1199,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a8e341ea-4495-409e-ac2f-f58830e16f2f","timestamp":"2026-10-17T23:54:20.322Z","request_id":"req_011Cg8i6uWAVS8BFTbPRmrcv","thinking_duration_ms":73158,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iExo5znfm4mRsVhRWg","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The timing values look quantized to roughly 2.048 us increments, suggesting the GPU timer under this platform (maybe gVisor) has coarser granularity than typical CUDA event resolution. I'll move on to looking at the cold cache results with L2 flushed.\n\nReading 24MB of flushed partials from HBM should only take about 4 us at full bandwidth, so the 13 us cold combine time seems slow — though some of that may include launch overhead since the flush, start event, and combine all happen sequentially on the GPU with CPU overhead hidden. In the full hot run where partials are still cached in L2, the combine only costs about 4-6 us, meaning a fused approach would save roughly that much.\n\nShifting focus to the main kernel, which dominates the runtime: currently it's running at ~370 us for 550 GFLOP, giving about 1.49 PFLOPS (61% of peak), while the expert benchmark hits 1.45-1.59 PFLOPS, so I need to robustly beat 1.6+ PFLOPS to pass with margin. I'm now exploring ways to cut shared memory traffic within Triton's constraints — Q from TMEM isn't available, single-buffering BN=128 is too slow, and I'm trying to figure out whether K and V tiles could use different numbers of pipeline stages to fit within the 227KB smem budget at BN=128, since splitting K into halves doesn't reduce the total buffer size needed.\n\nLoading V through registers instead of TMA seems like it would just shift work to a bad path, and merging K/V into shared smem isn't feasible. I'm now weighing whether using 2-CTA clusters with TMA multicast could help — it wouldn't cut per-SM write bandwidth, but might reduce redundant global memory traffic instead.\n\nBut actually my ablation data is undercutting the smem-bandwidth theory: removing PV MMA and V loads entirely only saved 13% of runtime, far less than the 33% traffic reduction I'd expect if smem bandwidth were really the bottleneck. That mismatch tells me I need to dig deeper into what's actually limiting throughput.\n\nLooking at the QK-only timing, it comes out well below the theoretical smem-bound rate, so I suspect the bottleneck is actually a pipeline dependency: with only two S buffers, QK for iteration j+2 can't start until softmax for iteration j has finished reading and releasing S(j), creating a serialization chain between MMA issue and softmax completion.\n\nEven with ABL=3 removing the exp/max/sum work, there's still fixed per-iteration overhead from loading S out of tensor memory, converting to bf16, storing P back, and the associated mbarrier wait/arrive operations — these latency-bound ops could be what's capping throughput rather than raw compute or bandwidth.\n\nDoing the math: 370us divided across roughly 443 blocks per CTA gives about 0.835us per iteration, or ~1697 cycles at 2.032GHz, versus a theoretical 1024 cycles for QK+PV MMA at peak — suggesting a real gap that softmax latency (if it's single-warpgroup with no ping-pong) could plausibly account for.\n\nFor ABL=2, QK-only iterations work out to ~1560 cycles each, roughly double the smem-bound estimate of 768. That points to the bottleneck being the softmax pipeline's per-iteration critical path: waiting on the mbarrier, loading S via tcgen05.ld, running max/exp/sum across the elements, converting, storing P via tcgen05.st, then signaling completion.\n\nSince ABL=2 skips PV entirely, the P conversion step might actually be dead code, leaving only wait-S/load/compute/signal in that loop, which still seems unexpectedly slow unless the QK MMA issue itself is the real cost — I need to check what the MMA partition does per iteration, including waiting on K-buffer readiness and issuing the QK matrix multiply instructions.\n\nReconsidering the bottleneck: maybe it's actually the TMA load bandwidth. Estimating per-SM throughput from K-only loads in ABL=2 gives roughly 42 GB/s per SM, which scales to several TB/s across all SMs through L2, and dividing by the four CTAs sharing HBM bandwidth gives a plausible HBM figure. Doing the same calculation for the full kernel with both K and V loaded gives an even higher aggregate L2-to-SM bandwidth estimate.\n\nIf that estimate is close to the actual L2 bandwidth limit on this hardware, it would explain the observed performance ceiling. The WRAP=2048 experiment, where all data stays resident in L2, only sped things up by about 8%, which is confusing if L2 bandwidth were truly the limiting factor since that test still pushes the same amount of L2-to-SM traffic -- so the speedup may instead come from avoiding HBM misses rather than relieving an L2 bandwidth constraint.\n\nLooking closer at FA4's 2-CTA approach, each CTA pair splits the K/V tile so each CTA only loads half, and the 2-CTA MMA reads the B operand from both CTAs' shared memory jointly -- effectively halving per-CTA L2 traffic for the same FLOPs. That's the real advantage: it cuts both L2 and smem traffic in half for the B operand, which points toward reducing L2-to-SM bandwidth pressure through techniques like TMA multicast within a cluster.\n\nI'm unsure whether Triton exposes this kind of multicast behavior directly, especially on Blackwell with warp specialization, so I should just test it empirically with num_ctas=2 and see what the compiler actually emits.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iKrpnprTEFkqcqKFug","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Comparing CTA counts, I see occupancy contention costs about 14-17% at full load, but there's a per-SM floor around 1420 cycles per iteration that's below my estimated shared-memory bound of 1536, so the bottleneck must be something other than smem bandwidth alone.\n\nComputing actual bandwidth from the L2 traffic at different CTA counts, I get roughly 11.3 TB/s at 148 CTAs versus 6.4 TB/s at 72 CTAs, which points to an L2 bandwidth ceiling rather than pure occupancy contention. Checking the HBM side shows plenty of headroom there, so the real suspect is probably cross-die traffic -- if KV blocks are homed on specific dies, CTAs on the wrong die would incur extra L2-to-L2 crossing costs.\n\nI'm now estimating that cross-die bandwidth could be around 5 TB/s per direction, which lines up closely with the observed numbers, making this the likely bottleneck. The challenge is that fine-grained address interleaving means any tile placement ends up split across both dies, so I can't simply schedule CTAs to avoid the crossing unless the hardware has some form of remote-data caching in the local L2 that I'm not certain exists. Shifting focus to the per-SM inefficiency, I want to break down what's actually consuming cycles in the critical path, starting with the QK tensor core work.\n\nSo per-SM smem bandwidth caps us around 1420-1536 cycles per iteration, meaning to speed up I need to reduce smem traffic per FLOP, like a bigger N for QK, but that's blocked by TMEM/smem capacity limits in Triton. I'm reconsidering BN=128 with Q and K splits along D, recalling that the earlier version hit TMEM 768 from duplicate P copies and double-buffered S, and wondering if leaving V unsplit could help.\n\nRunning through the smem budget at different staging levels, splitting K and V doesn't fit at double-buffering (320KB), and even single-buffered it's tight at 192KB. I'm now trying splitting V at half-tile granularity along keys with chained dot products into a single accumulator, but that hit the same double-allocation problem as before.\n\nI'm considering restructuring the loop so QK is computed for 128 keys every other iteration while PV processes 64 keys per iteration, effectively unrolling by 2 manually to avoid the extra accumulator allocation.\n\nStill, that version also spawned two accumulator buffers, so I'm wondering if a single-buffer V approach combined with manually prefetching V one iteration ahead could control the staging depth separately from K.\n\nGiven that path still forces V to be double-buffered, I think it's better to accept Triton's shared-memory limits and instead focus on the cross-die contention theory. Testing that properly would mean writing a pointer-chasing microbenchmark to map CTA-to-SM placement and die topology, which feels like its own research project given the time I've already spent, so I should check how long I've been at this.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iMsYmW3A5Lgy1MabJ2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"About 32 minutes used, 88 left, plenty of time. I'm digging into the shared contention overhead, wondering whether the L2-to-SM traffic for K and V per iteration can be reduced—seems hard without multicast or a 2-CTA approach, so I'm considering whether restructuring across the 148 CTAs could help on the HBM side instead.\n\nThinking more carefully, the 37 groups each streaming through distinct ~29MB regions should keep HBM traffic near the theoretical 1.07GB if L2 reuse within a group is good—since the 4 CTAs per group stay roughly in lockstep, drift and eviction shouldn't be a major factor. The WRAP=2048 test showing an 8% gain while WRAP=16384 showed none suggests the HBM or cross-die component matters at smaller working sets but not once it exceeds L2 capacity. Now I want to test whether increasing q-tiles per group (e.g. Sq=512 vs 256) halves HBM traffic per FLOP by having each KV byte serve more CTAs.\n\nI'm also considering that if a group's four CTAs land on different dies, each KV line gets pulled into its home L2 and then shipped to SMs on both dies, so I want to build a microbenchmark that reads smid via inline assembly to map CTAs to SMs across the 148-CTA grid, then measure bandwidth differences between CTAs on \"near\" versus \"far\" SMs. That leads me to think about making the attention kernel's group assignment smid-aware, letting each CTA discover its SM identity and choosing its role accordingly, provided there's a clean bijection between CTAs and roles when each SM hosts exactly one CTA.\n\nBut this breaks if a CTA launches on an SM that's still finishing a leftover CTA from a prior kernel, causing two CTAs to claim the same smid-derived role and leaving another role unfilled — so I need an atomic claim mechanism where each CTA tries a compare-and-swap on its preferred role slot and falls back if another CTA already claimed it.\n\nBefore building that safety mechanism, I should test the unsafe smid-based version first to see if the grouping actually helps performance, since correctness holds as long as all CTAs are co-resident. 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program_id.\n\n","signature":"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Let me check the Triton Python sources for multicast support.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1966,"cache_read_input_tokens":245635,"cache_creation":{"ephemeral_5m_input_tokens":1966,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"5238f5f6-f1c2-4230-a486-13c6fcd3cd4b","timestamp":"2026-10-17T23:57:34.099Z","request_id":"req_011Cg8iRzExcbA5iTJPAkZFT","thinking_duration_ms":11029,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01P4kcbkEEsUgP7vqH5ViRbJ","type":"tool_result","content":"language/core.py:2304:def make_tensor_descriptor(\nlanguage/core.py-2305-    base: tensor,\nlanguage/core.py-2306-    shape: List[tensor],\nlanguage/core.py-2307-    strides: List[tensor],\nlanguage/core.py-2308-    block_shape: List[constexpr],\nlanguage/core.py-2309-    padding_option=\"zero\",\nlanguage/core.py-2310-    _semantic=None,\nlanguage/core.py-2311-) -> tensor_descriptor:\nlanguage/core.py-2312-    \"\"\"Make a tensor descriptor object\nlanguage/core.py-2313-\nlanguage/core.py-2314-    :param base: the base pointer of the tensor, must be 16-byte aligned\nlanguage/core.py-2315-    :param shape: A list of non-negative integers representing the tensor shape\nlanguage/core.py-2316-    :param strides: A list of tensor strides. Leading dimensions must be multiples\nlanguage/core.py-2317-        of 16-byte strides and the last dimension must be contiguous.\nlanguage/core.py-2318-    :param block_shape: The shape of block to be loaded/stored from global memory\nlanguage/core.py-2319-\nlanguage/core.py-2320-    Notes\nlanguage/core.py-2321-    *****\nlanguage/core.py-2322-    On NVIDIA GPUs with TMA support, this will result in a TMA descriptor object\nlanguage/core.py-2323-    and loads and stores from the descriptor will be backed by the TMA hardware.\nlanguage/core.py-2324-\nlanguage/core.py-2325-    Currently only 2-5 dimensional tensors are supported.\nlanguage/core.py-2326-\nlanguage/core.py-2327-    Example\nlanguage/core.py-2328-    *******\nlanguage/core.py-2329-    .. code-block:: python\nlanguage/core.py-2330-\nlanguage/core.py-2331-        @triton.jit\nlanguage/core.py-2332-        def inplace_abs(in_out_ptr, M, N, M_BLOCK: tl.constexpr, N_BLOCK: tl.constexpr):\nlanguage/core.py-2333-            desc = tl.make_tensor_descriptor(\nlanguage/core.py-2334-                in_out_ptr,\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"b94f537e-d376-4fcb-8ef4-ee3bc1e95448","timestamp":"2026-10-17T23:57:34.165Z","tool_use_result":{"stdout":"language/core.py:2304:def make_tensor_descriptor(\nlanguage/core.py-2305-    base: tensor,\nlanguage/core.py-2306-    shape: List[tensor],\nlanguage/core.py-2307-    strides: List[tensor],\nlanguage/core.py-2308-    block_shape: List[constexpr],\nlanguage/core.py-2309-    padding_option=\"zero\",\nlanguage/core.py-2310-    _semantic=None,\nlanguage/core.py-2311-) -> tensor_descriptor:\nlanguage/core.py-2312-    \"\"\"Make a tensor descriptor object\nlanguage/core.py-2313-\nlanguage/core.py-2314-    :param base: the base pointer of the tensor, must be 16-byte aligned\nlanguage/core.py-2315-    :param shape: A list of non-negative integers representing the tensor shape\nlanguage/core.py-2316-    :param strides: A list of tensor strides. Leading dimensions must be multiples\nlanguage/core.py-2317-        of 16-byte strides and the last dimension must be contiguous.\nlanguage/core.py-2318-    :param block_shape: The shape of block to be loaded/stored from global memory\nlanguage/core.py-2319-\nlanguage/core.py-2320-    Notes\nlanguage/core.py-2321-    *****\nlanguage/core.py-2322-    On NVIDIA GPUs with TMA support, this will result in a TMA descriptor object\nlanguage/core.py-2323-    and loads and stores from the descriptor will be backed by the TMA hardware.\nlanguage/core.py-2324-\nlanguage/core.py-2325-    Currently only 2-5 dimensional tensors are supported.\nlanguage/core.py-2326-\nlanguage/core.py-2327-    Example\nlanguage/core.py-2328-    *******\nlanguage/core.py-2329-    .. code-block:: python\nlanguage/core.py-2330-\nlanguage/core.py-2331-        @triton.jit\nlanguage/core.py-2332-        def inplace_abs(in_out_ptr, M, N, M_BLOCK: tl.constexpr, N_BLOCK: tl.constexpr):\nlanguage/core.py-2333-            desc = tl.make_tensor_descriptor(\nlanguage/core.py-2334-                in_out_ptr,","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01P4kcbkEEsUgP7vqH5ViRbJ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iSxSai9Cnn6WAPgRew","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Since multicast isn't available here, I'm wondering what else could help given 36 CTAs and roughly 1423 cycles per iteration — trying to figure out whether this is smem-bound or limited by latency and synchronization. I'm also reconsidering the warp-specialized structure with NW=8, where the softmax partition uses 8 warps, MMA uses 1, and loading uses 1, totaling 10 warps.\n\nComparing the theoretical smem-limited tensor core bound of ~1280 cycles against the measured ~1423 at low occupancy, I see we're hitting about 90% of that limit, but shared memory contention is costing more — 1706 versus 1423 at full occupancy. Reducing L2 traffic doesn't look promising since each CTA's bytes read are fixed by the tile size, and converting K/V to fp8 would require an expensive pre-pass that outweighs the savings; so it seems like we're near the ceiling of this design unless the slowdown stems from something like L2 bank conflicts or HBM page conflicts tied to the access pattern itself.\n\nI'm now thinking about whether DRAM page utilization could be improved by reordering how groups process heads and key blocks — currently each group marches through a contiguous slice of (head, block) space independently, meaning the 37 groups are rarely touching the same DRAM page (which holds all 8 heads for a few keys) at the same time, leaving pages only partially used per access.\n\nBut given HBM3e's fine access granularity, 512B contiguous head segments should still be reasonably efficient, and the earlier WRAP experiments (16384 vs 2048) didn't show gains consistent with an HBM page-locality bottleneck. That makes me suspect the real constraint might instead be L2 bandwidth or the L2-to-SM bandwidth on B300.\n\nAt near-peak ~11 TB/s, if the 2-CTA mode halves effective bandwidth to 5.6 TB/s and still only hits ~1.5 PFLOPS, the bottleneck there is probably elsewhere like tensor core utilization or softmax overhead. For our case, L2-to-SM bandwidth pressure scales with bytes moved per CTA per iteration, so the fix is to reduce bytes per FLOP -- maybe sharing K/V tiles across CTAs via distributed shared memory within a cluster, though that's not exposed in Triton, or restructuring how KV heads are assigned per CTA, or packing GQA groups more efficiently.\n\nK and V are separate tensors so there's not much room to cut their bytes further. The real lever is the per-SM pipeline depth -- going from 1423 toward 1024-1280 cycles would actually raise bandwidth demand per unit time, which could worsen contention if it's a hard bandwidth ceiling at ~11.3 TB/s. But if the contention is really a latency/queueing effect rather than a strict bandwidth cap, then deepening the pipeline beyond our current 2 stages for K and V could hide that latency better instead of making things worse.\n\nI'm checking SMEM budget: it's nearly full at 197KB of 227KB, leaving only 30KB free, so adding more buffering stages isn't free. Bumping BN to 32 with 4 stages would fit SMEM-wise but doubles Q traffic since Q gets re-read every 32 keys, which is a bad tradeoff. I'm now considering whether K and V could use different numbers of stages -- since K is consumed for the dot product in the same iteration while V is used for PV in that iteration, maybe V's load could be issued one iteration ahead to decouple their pipelines.\n\nSince our kernel lands at roughly 0.97 of the expert's throughput and the bar requires at least 1.0, I'm weighing small wins: fusing overhead into the main loop, using 148 SMs instead of 144 for the Sq=512 shape to pick up a couple percent, and tuning BN and other thresholds. For the SM utilization fix, I'm working out how to spread 18 groups times 8 tiles across all 148 SMs instead of just 144, since that leaves 4 SMs idle.\n\nI work out that R' should be the largest divisor of QT that's at most R, checking this against several QT values like 5, 6, and 16 to confirm each gives a sensible number of q-tiles per CTA in the partial group, keeping the workload balanced across all cases.\n\nWorking out the indexing scheme: I assign weighted ranges to each CTA group using the total weight T, computing boundaries by scaling the full head-block range W proportionally for full groups and the remainder for the partial group, then striding q-tile assignments across partial CTAs by their offset R'.\n\nNow I need to generalize the segment combine logic for the partial group's overlap with the last head, defining a start() function that marks where each group's range begins within the scaled space.\n\nI can derive which group a given block index falls into by inverting that formula, clamping to the final partial group since it extends to the end. That should let me map each CTA to its role in the kernel correctly.\n\nThe kernel needs a mapping from CTA program ID to its job: full CTAs handle one (group, tile) pair, while CTAs in the partial group handle a strided list of tiles across the partial range. I'm thinking of representing each CTA as a list of (kt, range) jobs, looping over kt as an outer loop with the Q load inside since it depends on kt. This adds complexity but could yield up to +2.7% improvement on non-divisible shapes, which matters since those appear in real-world \"hidden shapes\" too.\n\nBefore locking this in, I want to step back and check whether contention might actually stem from TMA descriptor/L2 behavior rather than scheduling — specifically whether the inner box dimension exceeding the 128B swizzle span is forcing Triton to split TMA loads into multiple smaller fetches per row.\n\nGiven that swizzle/box shapes are compiler-controlled and not easily tunable, and considering how CTA groups might be spread unevenly across GPCs, I think it's more productive to pivot to concrete fixes: handling partial groups for non-divisible query tiles to use all 148 SMs, possibly fusing the combine step into the last CTA per tile, and tuning the masked-loop condition along with other small details.\n\nThe partial output writes are tiny compared to the KV traffic — maybe 25MB versus 4.3GB for Sq=256 over 370us — so the KV traffic clearly dominates the bandwidth budget, meaning increasing the per-CTA M dimension is the real lever for improvement.\n\nI'm checking TMEM capacity under M=256: storing O for both q-tiles would need 512 columns, filling TMEM entirely with no room for S. One possible workaround is keeping only one q-tile's O in TMEM while spilling the second q-tile's O into registers, since 128×256 fp32 is 128KB and the register file is 256KB/SM — tight but maybe feasible if the PV MMA output routes through a temporary TMEM space first.\n\nRound-tripping through TMEM each iteration to accumulate the second O in registers would reintroduce the costly load/store pattern already shown to be ~8x slower, even without the store step. I also consider M=192, but TMEM's fixed 128-lane layout for accumulators makes partial-row configurations awkward and doesn't obviously help.\n\nTurning to the HBM side, with WRAP=2048 the working set was tiny enough to avoid HBM traffic entirely, keeping data hot in L2. In the real case, HBM traffic runs at ~2.9 TB/s (36% of bandwidth), competing with SM traffic over the shared crossbar, and can't drop below 1x KV. Tallying remaining gains from combining steps and SM utilization fixes, I land around 0.98-1.0x, which is uncomfortably close to the strict performance bar.\n\nI'm now digging into why per-SM speed stalls at 1423 cycles under low occupancy versus the ideal 1024 — maybe a more latency-tolerant pipeline with deeper K/V buffering beyond the current 64-key double-buffering would help smooth out the softmax/MMA handoff. I want to run ablations at low occupancy (36 CTAs) removing PV and softmax separately to isolate the bottleneck, then look closely at the MMA warp's instruction stream for the QK and PV matmul instruction counts.\n\nTracing the ordering, the tensor core executes QK(j), PV(j-1), QK(j+1), PV(j) in sequence, and if the softmax for block j hasn't finished producing P(j) by the time QK(j+1) completes, the tensor core has to idle waiting on that dependency.\n\nNow I'm working out the softmax latency budget: with 8 warps handling 128×64 elements, that's 32 elements per thread, but I'm worried about the row split across warps requiring a cross-warp reduction through shared memory for the max-reduce step, which could be costly and potentially stall the pipeline if it exceeds the ~1280 cycle window available.\n\nI'm wondering if I can avoid that costly cross-warp max reduction each iteration, since the running max is only strictly needed for overflow detection at the end — maybe I can keep a per-thread partial max state instead and skip the synchronization until the final step.\n\nI'm weighing whether to compute m_ref via a conditional reduction only on the first loop iteration, since computing it outside the loop from a dot result caused crashes before. I need a reference value that's a safe lower bound on the true max without requiring a full reduction every iteration.\n\nI'm also considering an alternative: running a small pre-pass kernel that computes an approximate row max using just a sample of keys, like the first 64, which would be a much cheaper QK computation.\n\nI estimate this costs roughly 2 microseconds per CTA per segment using CUDA cores directly, about 0.7% overhead across the kernel — a reasonable trade if it lets me skip the per-iteration cross-warp reductions causing the earlier crash.\n\nActually I should reconsider what caused that crash: the dot outside the loop produces a TMEM layout, and reducing that into a sliced linear layout before using it inside the warp-specialized loop seems to be the incompatible step. Maybe forcing a roundtrip through a global store and load would coerce it into a plain blocked layout that the reduction can tolerate.\n\nI'm also wondering if the loop's own prologue dot product could serve double duty as the initial S value, letting me compute the max from it directly instead of reducing a separate tensor outside the loop -- I'll just try it and see if the layout issue persists. Writing the per-iteration loop body without reductions...\n\nChecking register cost: the running max and running sum tiles only need about 32 fp32 elements per thread with 8 warps, which is manageable, and the per-element flop cost stays roughly the same as before but avoids the shuffle/smem/barrier overhead of the reductions.\n\nBut I'm doubting whether this actually helps — the softmax partition wasn't the bottleneck in the ablation, only about a 1% gain (0.959 vs 0.950), since at full occupancy we're clearly bandwidth-bound between L2 and SM. So the real lever is reducing bytes per FLOP, not speeding up the softmax itself. Let me think about whether running 2 CTAs per SM or restructuring BM=128 differently could help instead.\n\nI'm also considering processing two q-tiles per CTA with time-multiplexed output, but TMEM space constraints make that infeasible, and splitting D across CTAs runs into the same problem. FP8 for K is tempting but risky given the tight precision tolerances in the hidden tests. It seems like we're near the design limit around 0.97-0.98, with maybe 1-3% more available from SM utilization and combine optimizations — I'll pursue those first before reconsidering the L2 bandwidth math further.\n\nLooking at the GQA ratio and how query tiles map to KV heads, restructuring the 128-row CTA tile to cover different query/head combinations doesn't actually reduce the shared K/V bandwidth — it's the same data either way. I'm now thinking about L2 hit locality across the two dies on B300, since each die has its own L2 cache.\n\nSince the MAP=2 experiment (same-GPC grouping) performed slightly worse than MAP=0, die locality doesn't seem to be the bottleneck, so I'll set that aside and focus on practical kernel improvements instead — starting with SM utilization when the query tile count isn't evenly divisible, which means restructuring how roles get assigned across the kernel.\n\nI'm working through the arithmetic to figure out the effective grid size for different QT values, splitting full groups from the leftover partial group and finding the largest divisor that fits the remainder for each case.\n\nNow I'm sketching the kernel logic: computing group start offsets by scaling, then writing the program-id-based branching to determine whether a block falls in a full group or the partial group, and how to iterate over its q-tile indices accordingly.\n\nFor the combine step, I'm figuring out how to map each head to the range of overlapping groups using the group-boundary function g(x), then deriving slot indices so the combine loop knows how many segments to walk through — and double-checking that my formula for g(x) is consistent with the group start computation.\n\nChecking overflow bounds for various B and Sk values confirms everything stays well within int32 limits even for the largest configurations. Now I'm working out JMAX, the max segments per head, which depends on the smallest group's range—the partial group tends to have a much smaller range than full groups.\n\nI'm landing on a safe upper bound of roughly NB×T divided by (W×QT) plus a small constant buffer, and I need similar reasoning for the combine kernel's g_first/g_last index calculations. With these bounds worked out, I'm ready to restructure the code into v7.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01AgnULTW3sekXnRYrzp4AXt","type":"tool_result","content":"def _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, groups, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    kt = tl.program_id(0)          # query tile within (b, kv head)\n    g = tl.program_id(1)           # KV group\n    w0 = (g * W) // groups\n    w1 = ((g + 1) * W) // groups\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qi = kt * BMQ + rows // G\n    qmask = qi < Sq\n    shift = Sk - Sq\n    qpos = qi + shift\n    q_last = tl.minimum(kt * BMQ + BMQ, Sq) - 1\n    kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n    full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n    p_lo = w0 // NB\n    p_hi = (w1 - 1) // NB\n    p = p_lo\n    retry = p_lo > p_hi\n    while p <= p_hi:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN = 128, 64\n    BMQ = BM // (HQ // HKV)\n    QT = triton.cdiv(Sq, BMQ)\n    NB = triton.cdiv(Sk, BN)\n    P = B * HKV\n    W = P * NB\n    groups = max(1, min(NUM_SMS // QT, W // 2))\n    JMAX = triton.cdiv(NB, W // groups) + 1\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=8, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, W, groups, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R,\n                                    num_warps=4)","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"05618cc6-84ed-43f2-b30c-ce61dc9dfa37","timestamp":"2026-10-17T23:59:23.971Z","tool_use_result":{"stdout":"def _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, groups, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    kt = tl.program_id(0)          # query tile within (b, kv head)\n    g = tl.program_id(1)           # KV group\n    w0 = (g * W) // groups\n    w1 = ((g + 1) * W) // groups\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qi = kt * BMQ + rows // G\n    qmask = qi < Sq\n    shift = Sk - Sq\n    qpos = qi + shift\n    q_last = tl.minimum(kt * BMQ + BMQ, Sq) - 1\n    kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n    full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n    p_lo = w0 // NB\n    p_hi = (w1 - 1) // NB\n    p = p_lo\n    retry = p_lo > p_hi\n    while p <= p_hi:\n        b = p // HKV\n        hk = p % HKV\n        lo = tl.maximum(w0 - p * NB, 0) * BN\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN = 128, 64\n    BMQ = BM // (HQ // HKV)\n    QT = triton.cdiv(Sq, BMQ)\n    NB = triton.cdiv(Sk, BN)\n    P = B * HKV\n    W = P * NB\n    groups = max(1, min(NUM_SMS // QT, W // 2))\n    JMAX = triton.cdiv(NB, W // groups) + 1\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(QT, groups)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, groups, JMAX,\n                            HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=8, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, W, groups, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R,\n                                    num_warps=4)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01AgnULTW3sekXnRYrzp4AXt","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ib3rFWhG4ggg1w7nFb","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm planning a clean rewrite of v7, incorporating partial group scheduling, an improved combine kernel with statically unrolled slots, and adjusted group-count logic that caps the full-group count based on available SMs when the workload is small.\n\nI'm also working through a tricky edge case where tiny ranges could produce empty groups—tracing through the start-index math shows these empty groups naturally get skipped when selecting the largest valid group index, so they won't be miscounted in the segment logic.\n\nI'm confirming that j stays within valid range so the empty slot just contributes zero weight harmlessly, and the empty-range CTA writes a valid placeholder partial without breaking the combine step. Now checking the edge case where w0 is an exact multiple of NB, since then p_hi drops below p_lo and the loop boundary shifts.\n\nGiven the consistency of this logic for empty ranges, I want to verify the slot assignment invariants more rigorously with a brute-force simulation across many configurations.\n\nWriting the simulation code...\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ib3rFWhG4ggg1w7nFb","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01QQ8UuCNwmkNtZHX5L5R8Wq","name":"Write","input":{"file_path":"/workspace/dev/v7.py","content":"import math\nimport torch\nimport triton\nimport triton.language as tl\n\nNUM_SMS = 148\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\n\n@triton.jit\ndef _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units, the max of the first block): the accumulator is\n    # never rescaled. The caller retries with the exact row max if any row overshoots the reference by too much.\n    offs_n = tl.arange(0, BN)\n    acc = tl.zeros((BM, D), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k = k_desc.load([lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where((n0 == lo) & fresh, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_next\n    return acc, l_i, m_max, m_ref\n\n\n@triton.jit\ndef _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, GF, RP, T, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    # Work = P (batch, kv head) pairs x NB key blocks, laid out head-major (\"head-blocks\", W in total). GF full groups\n    # of QT CTAs (one query tile each) and, when QT does not divide the SM count, one partial group of RP CTAs (QT / RP\n    # query tiles each) split the head-blocks in proportion QT : RP. CTAs of a group walk the same keys in lockstep,\n    # so K/V tiles are shared through L2.\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    c = tl.program_id(0)\n    full = c < GF * QT\n    g = tl.where(full, c // QT, GF)\n    kt0 = tl.where(full, c % QT, c - GF * QT)\n    nkt = tl.where(full, 1, QT // tl.maximum(RP, 1))\n    kstep = tl.where(full, QT, RP)\n    w0 = (W * g * QT) // T\n    w1 = tl.where(g + 1 > GF, W, (W * (g + 1) * QT) // T)\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    shift = Sk - Sq\n    for it in range(0, nkt):\n        kt = kt0 + it * kstep\n        qi = kt * BMQ + rows // G\n        qmask = qi < Sq\n        qpos = qi + shift\n        q_last = tl.minimum(kt * BMQ + BMQ, Sq) - 1\n        kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n        full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n        p_lo = w0 // NB\n        p_hi = (w1 - 1) // NB\n        p = p_lo\n        retry = p_lo > p_hi\n        while p <= p_hi:\n            b = p // HKV\n            hk = p % HKV\n            lo = tl.maximum(w0 - p * NB, 0) * BN\n            hi = tl.minimum(w1 - p * NB, NB) * BN\n            hi = tl.minimum(hi, kv_end)\n            kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n            q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n            mid = tl.maximum(tl.minimum(full_end, hi), lo)\n            gf = ((p * NB + 1) * T - 1) // (W * QT)\n            slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\n            acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init, retry == 0,\n                                                BM, BN, D, WS)\n            m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n            over = (tl.max(m_hi - m_ref, 0) > 20.0) & (retry == 0)\n            valid = l_i > 0.0\n            o = acc / tl.where(valid, l_i, 1.0)[:, None]\n            lse = tl.where(valid, m_ref + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n            tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (over == 0))\n            tl.store(LP + slot * BM + rows, tl.where(over, m_hi, lse))\n            tl.debug_barrier()\n            retry = over\n            p = tl.where(over, p, p + 1)\n\n\n@triton.jit\ndef _combine(OP, LP, O, Sq, QT, NB, W, T, JMAX,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, R: tl.constexpr,\n             JP: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    pid = tl.program_id(0)\n    chunk = pid % (BM // R)\n    t = pid // (BM // R)\n    kt = t % QT\n    p = t // QT\n    b = p // HKV\n    hk = p % HKV\n    gf = ((p * NB + 1) * T - 1) // (W * QT)\n    gl = (((p + 1) * NB) * T - 1) // (W * QT)\n    nseg = gl - gf + 1\n    rows = chunk * R + tl.arange(0, R)\n    rd = tl.arange(0, D)\n    js = tl.arange(0, JP)\n    base = (p * QT + kt) * JMAX\n    if nseg <= JP:\n        lse = tl.load(LP + ((base + js[:, None]).to(tl.int64) * BM + rows[None, :]), mask=(js < nseg)[:, None],\n                      other=-float('inf'))\n        m = tl.max(lse, 0)\n        w = tl.math.exp2(lse - m[None, :])\n        inv = 1.0 / tl.sum(w, 0)\n        acc = tl.zeros((R, D), tl.float32)\n        for j in tl.static_range(JP):\n            wj = tl.sum(tl.where(js[:, None] == j, w, 0.0), 0) * inv\n            oj = tl.load(OP + (((base + j).to(tl.int64) * BM + rows[:, None]) * D + rd[None, :]),\n                         mask=(j < nseg) & (rows < BM)[:, None], other=0.0)\n            acc += wj[:, None] * oj\n    else:\n        m = tl.full((R,), -float('inf'), tl.float32)\n        for j in range(0, nseg):\n            m = tl.maximum(m, tl.load(LP + (base + j).to(tl.int64) * BM + rows))\n        acc = tl.zeros((R, D), tl.float32)\n        den = tl.zeros((R,), tl.float32)\n        for j in range(0, nseg):\n            slot = (base + j).to(tl.int64)\n            wj = tl.math.exp2(tl.load(LP + slot * BM + rows) - m)\n            den += wj\n            acc += wj[:, None] * tl.load(OP + (slot * BM + rows[:, None]) * D + rd[None, :])\n        acc = acc / den[:, None]\n    qi = kt * BMQ + rows // G\n    o_ptr = O + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=(qi < Sq)[:, None])\n\n\ndef _plan(B, Sq, Sk, HQ, HKV, BM, BN):\n    QT = triton.cdiv(Sq, BM // (HQ // HKV))\n    NB = triton.cdiv(Sk, BN)\n    W = B * HKV * NB\n    GF = max(1, NUM_SMS // QT)\n    RP = 0\n    rem = NUM_SMS - GF * QT\n    if rem > 0:\n        for d in range(1, rem + 1):\n            if QT % d == 0:\n                RP = d\n    if W < 4 * GF:              # short contexts: keep at least ~4 blocks per group\n        GF = max(1, W // 4)\n        RP = 0\n    T = GF * QT + RP\n    JMAX = (NB * T) // (W * QT) + 3\n    return QT, NB, W, GF, RP, T, JMAX\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN = 128, 64\n    QT, NB, W, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN)\n    P = B * HKV\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(T,)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, GF, RP, T, JMAX,\n                    HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=8, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, W, T, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R, JP=8,\n                                    num_warps=4)\n"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":12090,"cache_read_input_tokens":249612,"cache_creation":{"ephemeral_5m_input_tokens":12090,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1a727e47-b001-4ac7-b994-3892b5d50e4f","timestamp":"2026-10-18T00:00:20.239Z","request_id":"req_011Cg8ib3UuovV8iXGoZkAhk"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01QQ8UuCNwmkNtZHX5L5R8Wq","type":"tool_result","content":"File created successfully at: /workspace/dev/v7.py (file state is current in your context — no need to Read it back)"}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"9ff9519c-8626-4bca-9277-504d484cdac6","timestamp":"2026-10-18T00:00:20.259Z","tool_use_result":{"type":"create","filePath":"/workspace/dev/v7.py","content":"import math\nimport torch\nimport triton\nimport triton.language as tl\n\nNUM_SMS = 148\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\n\n@triton.jit\ndef _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units, the max of the first block): the accumulator is\n    # never rescaled. The caller retries with the exact row max if any row overshoots the reference by too much.\n    offs_n = tl.arange(0, BN)\n    acc = tl.zeros((BM, D), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k = k_desc.load([lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where((n0 == lo) & fresh, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_next\n    return acc, l_i, m_max, m_ref\n\n\n@triton.jit\ndef _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, GF, RP, T, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    # Work = P (batch, kv head) pairs x NB key blocks, laid out head-major (\"head-blocks\", W in total). GF full groups\n    # of QT CTAs (one query tile each) and, when QT does not divide the SM count, one partial group of RP CTAs (QT / RP\n    # query tiles each) split the head-blocks in proportion QT : RP. CTAs of a group walk the same keys in lockstep,\n    # so K/V tiles are shared through L2.\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    c = tl.program_id(0)\n    full = c < GF * QT\n    g = tl.where(full, c // QT, GF)\n    kt0 = tl.where(full, c % QT, c - GF * QT)\n    nkt = tl.where(full, 1, QT // tl.maximum(RP, 1))\n    kstep = tl.where(full, QT, RP)\n    w0 = (W * g * QT) // T\n    w1 = tl.where(g + 1 > GF, W, (W * (g + 1) * QT) // T)\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    shift = Sk - Sq\n    for it in range(0, nkt):\n        kt = kt0 + it * kstep\n        qi = kt * BMQ + rows // G\n        qmask = qi < Sq\n        qpos = qi + shift\n        q_last = tl.minimum(kt * BMQ + BMQ, Sq) - 1\n        kv_end = q_last + shift + 1                       # exclusive key bound of this tile\n        full_end = ((kt * BMQ + shift + 1) // BN) * BN     # keys below are visible to every row\n        p_lo = w0 // NB\n        p_hi = (w1 - 1) // NB\n        p = p_lo\n        retry = p_lo > p_hi\n        while p <= p_hi:\n            b = p // HKV\n            hk = p % HKV\n            lo = tl.maximum(w0 - p * NB, 0) * BN\n            hi = tl.minimum(w1 - p * NB, NB) * BN\n            hi = tl.minimum(hi, kv_end)\n            kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n            q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n            mid = tl.maximum(tl.minimum(full_end, hi), lo)\n            gf = ((p * NB + 1) * T - 1) // (W * QT)\n            slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\n            acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init, retry == 0,\n                                                BM, BN, D, WS)\n            m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\n            over = (tl.max(m_hi - m_ref, 0) > 20.0) & (retry == 0)\n            valid = l_i > 0.0\n            o = acc / tl.where(valid, l_i, 1.0)[:, None]\n            lse = tl.where(valid, m_ref + tl.math.log2(tl.where(valid, l_i, 1.0)), -float('inf'))\n            tl.store(OP + (slot * BM + rows[:, None]) * D + rd[None, :], o, mask=(rows < BM)[:, None] & (over == 0))\n            tl.store(LP + slot * BM + rows, tl.where(over, m_hi, lse))\n            tl.debug_barrier()\n            retry = over\n            p = tl.where(over, p, p + 1)\n\n\n@triton.jit\ndef _combine(OP, LP, O, Sq, QT, NB, W, T, JMAX,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, R: tl.constexpr,\n             JP: tl.constexpr):\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    pid = tl.program_id(0)\n    chunk = pid % (BM // R)\n    t = pid // (BM // R)\n    kt = t % QT\n    p = t // QT\n    b = p // HKV\n    hk = p % HKV\n    gf = ((p * NB + 1) * T - 1) // (W * QT)\n    gl = (((p + 1) * NB) * T - 1) // (W * QT)\n    nseg = gl - gf + 1\n    rows = chunk * R + tl.arange(0, R)\n    rd = tl.arange(0, D)\n    js = tl.arange(0, JP)\n    base = (p * QT + kt) * JMAX\n    if nseg <= JP:\n        lse = tl.load(LP + ((base + js[:, None]).to(tl.int64) * BM + rows[None, :]), mask=(js < nseg)[:, None],\n                      other=-float('inf'))\n        m = tl.max(lse, 0)\n        w = tl.math.exp2(lse - m[None, :])\n        inv = 1.0 / tl.sum(w, 0)\n        acc = tl.zeros((R, D), tl.float32)\n        for j in tl.static_range(JP):\n            wj = tl.sum(tl.where(js[:, None] == j, w, 0.0), 0) * inv\n            oj = tl.load(OP + (((base + j).to(tl.int64) * BM + rows[:, None]) * D + rd[None, :]),\n                         mask=(j < nseg) & (rows < BM)[:, None], other=0.0)\n            acc += wj[:, None] * oj\n    else:\n        m = tl.full((R,), -float('inf'), tl.float32)\n        for j in range(0, nseg):\n            m = tl.maximum(m, tl.load(LP + (base + j).to(tl.int64) * BM + rows))\n        acc = tl.zeros((R, D), tl.float32)\n        den = tl.zeros((R,), tl.float32)\n        for j in range(0, nseg):\n            slot = (base + j).to(tl.int64)\n            wj = tl.math.exp2(tl.load(LP + slot * BM + rows) - m)\n            den += wj\n            acc += wj[:, None] * tl.load(OP + (slot * BM + rows[:, None]) * D + rd[None, :])\n        acc = acc / den[:, None]\n    qi = kt * BMQ + rows // G\n    o_ptr = O + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=(qi < Sq)[:, None])\n\n\ndef _plan(B, Sq, Sk, HQ, HKV, BM, BN):\n    QT = triton.cdiv(Sq, BM // (HQ // HKV))\n    NB = triton.cdiv(Sk, BN)\n    W = B * HKV * NB\n    GF = max(1, NUM_SMS // QT)\n    RP = 0\n    rem = NUM_SMS - GF * QT\n    if rem > 0:\n        for d in range(1, rem + 1):\n            if QT % d == 0:\n                RP = d\n    if W < 4 * GF:              # short contexts: keep at least ~4 blocks per group\n        GF = max(1, W // 4)\n        RP = 0\n    T = GF * QT + RP\n    JMAX = (NB * T) // (W * QT) + 3\n    return QT, NB, W, GF, RP, T, JMAX\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN = 128, 64\n    QT, NB, W, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN)\n    P = B * HKV\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(T,)](q, k, v, op, lp, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, W, GF, RP, T, JMAX,\n                    HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=8, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, W, T, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R, JP=8,\n                                    num_warps=4)\n","structuredPatch":[],"originalFile":null,"userModified":false},"tool_result_meta":[{"id":"toolu_01QQ8UuCNwmkNtZHX5L5R8Wq","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ifCYjK6eeGNGCuyexC","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm planning a Python simulation that checks slot assignment invariants across many shapes: for each CTA and head, it computes block ranges and slot writes, then verifies each read slot was written exactly once, stays within valid bounds, and that the combined KV ranges fully cover the expected span.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6018,"cache_read_input_tokens":261702,"cache_creation":{"ephemeral_5m_input_tokens":6018,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"5a6f2fa0-9796-4524-9438-14bd3ad70074","timestamp":"2026-10-18T00:00:26.703Z","request_id":"req_011Cg8ifCAv9Y45X96ked1kJ","thinking_duration_ms":3333,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ifCYjK6eeGNGCuyexC","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_0111RX4Ay41a2UxNxincipA3","name":"Bash","input":{"command":"cat > /workspace/dev/simplan.py << 'EOF'\nimport sys, importlib.util, itertools\nsys.path.insert(0, '/workspace/dev')\nspec = importlib.util.spec_from_file_location('m', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nHQ, HKV, BM, BN = 16, 8, 128, 64\ndef sim(B, Sq, Sk):\n    QT, NB, W, GF, RP, T, JMAX = m._plan(B, Sq, Sk, HQ, HKV, BM, BN)\n    assert T <= 148 or QT > 148, (B, Sq, Sk, T)\n    writes = {}\n    cover = {}\n    shift = Sk - Sq\n    for c in range(T):\n        full = c < GF * QT\n        g = c // QT if full else GF\n        kt0 = c % QT if full else c - GF * QT\n        nkt = 1 if full else QT // max(RP, 1)\n        kstep = QT if full else RP\n        w0 = (W * g * QT) // T\n        w1 = W if g + 1 > GF else (W * (g + 1) * QT) // T\n        for it in range(nkt):\n            kt = kt0 + it * kstep\n            q_last = min(kt * 64 + 64, Sq) - 1\n            kv_end = q_last + shift + 1\n            p_lo, p_hi = w0 // NB, (w1 - 1) // NB\n            for p in range(p_lo, p_hi + 1):\n                lo = max(w0 - p * NB, 0) * BN\n                hi = min(min(w1 - p * NB, NB) * BN, kv_end)\n                gf = ((p * NB + 1) * T - 1) // (W * QT)\n                j = g - gf\n                assert 0 <= j < JMAX, ('slot', B, Sq, Sk, c, p, j, JMAX)\n                key = (p, kt, j)\n                assert key not in writes, ('dup', key)\n                writes[key] = (lo, hi)\n    for p in range(B * HKV):\n        for kt in range(QT):\n            gf = ((p * NB + 1) * T - 1) // (W * QT)\n            gl = (((p + 1) * NB) * T - 1) // (W * QT)\n            nseg = gl - gf + 1\n            q_last = min(kt * 64 + 64, Sq) - 1\n            kv_end = q_last + shift + 1\n            segs = []\n            for j in range(nseg):\n                assert (p, kt, j) in writes, ('missing', B, Sq, Sk, p, kt, j, nseg)\n                segs.append(writes[(p, kt, j)])\n            for key in writes:\n                if key[0] == p and key[1] == kt:\n                    assert key[2] < nseg, ('extra', key, nseg)\n            # coverage\n            pos = 0\n            for lo, hi in segs:\n                if hi <= lo:\n                    continue\n                assert lo == pos, ('gap', B, Sq, Sk, p, kt, segs)\n                pos = hi\n            assert pos == kv_end, ('cover', B, Sq, Sk, p, kt, pos, kv_end, segs)\n    return QT, GF, RP, T, JMAX\nshapes = [(1,256,131072),(1,512,65536),(1,512,131072),(2,256,65536),(1,1,1),(1,7,13),(2,65,300),(3,100,1000),(1,129,129),\n          (1,1,5000),(2,333,4097),(1,1024,32768),(1,200,200),(4,16,20000),(1,320,65536),(1,384,40000),(1,768,50000),\n          (3,448,33333),(1,2048,65536),(8,512,32768),(1,9600,9600),(1,64,64),(2,1,1),(1,4096,4096)]\nimport random\nrandom.seed(0)\nfor _ in range(300):\n    Sk = random.randint(1, 70000); Sq = random.randint(1, min(Sk, 3000)); B = random.randint(1, 4)\n    shapes.append((B, Sq, Sk))\nfor s in shapes:\n    r = sim(*s)\n    if s in shapes[:24]:\n        print(s, 'QT,GF,RP,T,JMAX =', r)\nprint('all plans OK')\nEOF\npython /workspace/dev/simplan.py /workspace/dev/v7.py","description":"Simulate work/slot assignment invariants for many shapes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6018,"cache_read_input_tokens":261702,"cache_creation":{"ephemeral_5m_input_tokens":6018,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0b4fc18d-0ab8-417e-8131-63e51005dec7","timestamp":"2026-10-18T00:00:36.549Z","request_id":"req_011Cg8ifCAv9Y45X96ked1kJ"}
{"type":"system","subtype":"task_started","task_id":"bygyanvvu","run_id":"0mvd27nvf-d634cae8","tool_use_id":"toolu_0111RX4Ay41a2UxNxincipA3","description":"Simulate work/slot assignment invariants for many shapes","is_backgrounded":false,"task_type":"local_bash","uuid":"d30222a2-ebbd-4d4f-8a9f-2da713a01621","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_0111RX4Ay41a2UxNxincipA3","type":"tool_result","content":"(1, 256, 131072) QT,GF,RP,T,JMAX = (4, 37, 0, 148, 7)\n(1, 512, 65536) QT,GF,RP,T,JMAX = (8, 18, 4, 148, 5)\n(1, 512, 131072) QT,GF,RP,T,JMAX = (8, 18, 4, 148, 5)\n(2, 256, 65536) QT,GF,RP,T,JMAX = (4, 37, 0, 148, 5)\n(1, 1, 1) QT,GF,RP,T,JMAX = (1, 2, 0, 2, 3)\n(1, 7, 13) QT,GF,RP,T,JMAX = (1, 2, 0, 2, 3)\n(2, 65, 300) QT,GF,RP,T,JMAX = (2, 20, 0, 40, 4)\n(3, 100, 1000) QT,GF,RP,T,JMAX = (2, 74, 0, 148, 6)\n(1, 129, 129) QT,GF,RP,T,JMAX = (3, 6, 0, 18, 3)\n(1, 1, 5000) QT,GF,RP,T,JMAX = (1, 148, 0, 148, 21)\n(2, 333, 4097) QT,GF,RP,T,JMAX = (6, 24, 3, 147, 4)\n(1, 1024, 32768) QT,GF,RP,T,JMAX = (16, 9, 4, 148, 4)\n(1, 200, 200) QT,GF,RP,T,JMAX = (4, 8, 0, 32, 4)\n(4, 16, 20000) QT,GF,RP,T,JMAX = (1, 148, 0, 148, 7)\n(1, 320, 65536) QT,GF,RP,T,JMAX = (5, 29, 1, 146, 6)\n(1, 384, 40000) QT,GF,RP,T,JMAX = (6, 24, 3, 147, 6)\n(1, 768, 50000) QT,GF,RP,T,JMAX = (12, 12, 4, 148, 4)\n(3, 448, 33333) QT,GF,RP,T,JMAX = (7, 21, 1, 148, 3)\n(1, 2048, 65536) QT,GF,RP,T,JMAX = (32, 4, 16, 144, 3)\n(8, 512, 32768) QT,GF,RP,T,JMAX = (8, 18, 4, 148, 3)\n(1, 9600, 9600) QT,GF,RP,T,JMAX = (150, 1, 0, 150, 3)\n(1, 64, 64) QT,GF,RP,T,JMAX = (1, 2, 0, 2, 3)\n(2, 1, 1) QT,GF,RP,T,JMAX = (1, 4, 0, 4, 3)\n(1, 4096, 4096) QT,GF,RP,T,JMAX = (64, 2, 16, 144, 3)\nall plans OK","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"17033be3-f06d-43f0-b1c8-6b35dd3cca64","timestamp":"2026-10-18T00:00:43.491Z","tool_use_result":{"stdout":"(1, 256, 131072) QT,GF,RP,T,JMAX = (4, 37, 0, 148, 7)\n(1, 512, 65536) QT,GF,RP,T,JMAX = (8, 18, 4, 148, 5)\n(1, 512, 131072) QT,GF,RP,T,JMAX = (8, 18, 4, 148, 5)\n(2, 256, 65536) QT,GF,RP,T,JMAX = (4, 37, 0, 148, 5)\n(1, 1, 1) QT,GF,RP,T,JMAX = (1, 2, 0, 2, 3)\n(1, 7, 13) QT,GF,RP,T,JMAX = (1, 2, 0, 2, 3)\n(2, 65, 300) QT,GF,RP,T,JMAX = (2, 20, 0, 40, 4)\n(3, 100, 1000) QT,GF,RP,T,JMAX = (2, 74, 0, 148, 6)\n(1, 129, 129) QT,GF,RP,T,JMAX = (3, 6, 0, 18, 3)\n(1, 1, 5000) QT,GF,RP,T,JMAX = (1, 148, 0, 148, 21)\n(2, 333, 4097) QT,GF,RP,T,JMAX = (6, 24, 3, 147, 4)\n(1, 1024, 32768) QT,GF,RP,T,JMAX = (16, 9, 4, 148, 4)\n(1, 200, 200) QT,GF,RP,T,JMAX = (4, 8, 0, 32, 4)\n(4, 16, 20000) QT,GF,RP,T,JMAX = (1, 148, 0, 148, 7)\n(1, 320, 65536) QT,GF,RP,T,JMAX = (5, 29, 1, 146, 6)\n(1, 384, 40000) QT,GF,RP,T,JMAX = (6, 24, 3, 147, 6)\n(1, 768, 50000) QT,GF,RP,T,JMAX = (12, 12, 4, 148, 4)\n(3, 448, 33333) QT,GF,RP,T,JMAX = (7, 21, 1, 148, 3)\n(1, 2048, 65536) QT,GF,RP,T,JMAX = (32, 4, 16, 144, 3)\n(8, 512, 32768) QT,GF,RP,T,JMAX = (8, 18, 4, 148, 3)\n(1, 9600, 9600) QT,GF,RP,T,JMAX = (150, 1, 0, 150, 3)\n(1, 64, 64) QT,GF,RP,T,JMAX = (1, 2, 0, 2, 3)\n(2, 1, 1) QT,GF,RP,T,JMAX = (1, 4, 0, 4, 3)\n(1, 4096, 4096) QT,GF,RP,T,JMAX = (64, 2, 16, 144, 3)\nall plans OK","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_0111RX4Ay41a2UxNxincipA3","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8in3xzXHeLwk9kKLuKz","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The saved check.py numbers being higher suggests thermal or power throttling under sustained load, since the B300's 1100W cap could cause clock drops during back-to-back runs without L2 flush, similar to how the grader interleaves kernels with L2 flushes between them. With about 74 minutes left, I'm thinking through what improvements to try next.\n\nI'm puzzling over why the B=2 shape performs weakest (0.961) — tracing through the head-block work distribution, memory layout, and group assignment, I keep finding that B=2 should have identical per-head contiguous structure to the B=1 case, just split across two batches, yet it's still consistently slower (396 vs 380). Checking the causal shift values for both configurations doesn't reveal an obvious asymmetry either, so something else must be driving the gap.\n\nTracing how the address mapping differs between the two cases: in B=1 the 37 groups scatter reads across 8 heads and 2048 blocks, while in B=2 the same group index now maps through batch and head together, so the concurrent memory access pattern each group touches is structurally different even though total data volume matches.\n\nI'm also second-guessing whether the slowdown is actually a measurement artifact from allocation order rather than a true architectural effect, since fresh q/k/v buffers get placed differently each run and that could skew timing. Rather than chase that uncertainty, I want to think about whether reorganizing access patterns for row-buffer locality in DRAM could meaningfully help here.\n\nSince each 512B segment belongs to a larger 4KB key row shared across 8 heads, reading heads separately forces that DRAM page open 8 times instead of once. That points toward reordering the iteration so blocks are the outer loop and heads the inner one, letting all heads for a given block be read together so each page only needs to be opened once.\n\nBut with 37 groups (prime, not divisible by 8), I can't cleanly split work so each group handles one head over a contiguous block range while still aligning groups temporally across heads — so I'm now trying to figure out how to assign group g to a specific head and block range that keeps both locality and even load balancing intact.\n\nCalculating that required HBM bandwidth comes to roughly 2.8 TB/s against an 8 TB/s peak, so even at imperfect page efficiency there should be enough headroom—meaning DRAM page locality adds latency but isn't the core bottleneck. The WRAP=2048 result, where everything fit in L2 and HBM sat idle while still showing an 8% gain, seems like the more fruitful lead to chase.\n\nI try testing an \"aligned heads\" idea by reordering how head-blocks get linearized so each segment covers contiguous block ranges per head, but the math doesn't work out cleanly—GF=37 isn't a multiple of P=8 heads, and forcing it to 32 groups drops CTA utilization to a bad 86%. Reversing the order for alternate segments doesn't help either, so I turn to examining why B=2 is slower, comparing the 37 groups across 8 heads at Sk=128K against the B=2/Sk=64K case.\n\nFor B=2, groups span 16 (b,h) pairs with each group covering ~43% of a pair's KV range, versus only ~22% for B=1 — meaning far more groups straddle two heads in the B=2 case. Straddling groups incur real overhead: they have to process two segments, triggering extra epilogue/prologue work (partial writes, retry checks, Q reload, first QK) and causing pipeline bubbles when the warp-specialized loop drains and refills between segments.\n\nI'd estimate each segment switch costs roughly 3-5 us — loading Q, first K/V tiles, and storing the 128KB epilogue output all add latency, and since the slowest CTA sets the overall runtime, straddling groups become the bottleneck. This also increases the number of combine segments downstream.\n\nOne fix would be snapping group boundaries to head boundaries when the cost is low, avoiding unnecessary straddling, though overlapping the epilogue of one segment with the prologue of the next would be ideal but difficult to implement in Triton.\n\nChecking B=2 with 16 heads and 37 groups — that's 2.3 groups per head, and switching to 32 groups exactly would mean 128 CTAs, which is 13.5% fewer SMs used, so that's not a good trade-off. Instead I should look at reducing the per-boundary cost itself: the epilogue work moving TMEM values through registers, normalizing, and storing takes roughly 1 us, the Q reload for a new head adds another 1-2 us, and the warp-specialization loop setup (barrier init, prologue QK, pipeline fill) adds further latency.\n\nAdding up the barrier and retry overhead, each segment switch costs around 3 us total, so the slowest CTA with one switch pays that penalty once, meaning total runtime should be roughly base + 3 us regardless of batch size — which means straddling count alone doesn't explain why B=2 is slower than B=1. I'm now wondering if something about how descriptors are built per batch, or how the causal mask shifts the last blocks per head, is behind the discrepancy.\n\nI check the masked-tail iterations and kv_end extents per q-tile for both batch sizes, but these differences are negligible — a handful of extra compare ops at most, not enough to account for the slowdown. I'm starting to think the real cause isn't structural at all, but something related to physical memory placement that the grader might be sensitive to.\n\nShifting focus to the fused combine idea, the expected gain looks marginal (~1%) given the added risk, so instead I consider overlapping the combine kernel with the main kernel's tail using programmatic dependent launch — having the main kernel signal early completion and the combine kernel wait before reading data, checking whether the necessary Triton CUDA extras for this are importable.\n\nI'm reasoning that this would hide the kernel launch gap and let combine CTAs start on SMs freed up as main CTAs finish asynchronously.\n\nActually, the combine can't start real work until the full main kernel completes since it needs all partials, so this only hides launch/setup overhead, saving maybe 1-3 us. Let me check what's actually available in tl.extra.cuda.\n\n","signature":"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I'd put gdc_wait at the start of the combine kernel before reading partials, and I've confirmed the static check chain allows the tl.extra.cuda.gdc_wait call since it resolves correctly through the triton.language alias path.\n\nThe PDL chain for the main kernel against its preceding step doesn't help since that step is just an L2 flush, not PDL-enabled — so I'll implement with gdc_launch_dependents at the start of the main kernel and gdc_wait at the start of combine, then measure the actual performance impact.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5700,"cache_read_input_tokens":274249,"cache_creation":{"ephemeral_5m_input_tokens":5700,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"beda4e48-cbdc-4edf-bd10-9c5d0a95e51a","timestamp":"2026-10-18T00:02:55.090Z","request_id":"req_011Cg8iqhpeq9wA1d9ASxk1W","thinking_duration_ms":9511,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iw98o3dpNjmsuWxFF6","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"BN=64 with ST=2 wins over BN=32. Checking TMEM budget with this config leaves 64-96 free columns, so I'm wondering if a third S buffer could fit, though that's likely not controllable. I also confirmed num_warps=8 outperforms 4 for the softmax partition.\n\nNow I'm tracing through per-segment overheads: the Q load (64KB bf16, mostly served from L2 after the first group touches it), the QK prologue, the main loop, and the epilogue writing 128KB fp32 plus LSE back to global memory. At kickoff all 148 CTAs load Q and stream K/V cold from HBM simultaneously, but since the 4 CTAs in a group start together their misses merge, so that's acceptable. At the tail end there's some imbalance since partial-group CTAs with smaller masked tails finish early.\n\nThen I'm quantifying the fused-combine idea: comparing full pipeline time versus main-only time shows the combine step costs roughly 4-6 us (about 1-1.6%) depending on sequence length. A fused last-CTA-combines approach would shift ~2-3 us to the tail but requires a zeroed counter buffer, and that memset itself costs 1-2 us, so the net gain shrinks to about 1 us — not really worth the complexity. I'm now considering instead just shrinking the combine kernel's workload by storing partials in bf16, halving the bytes moved from 24MB to 12MB.\n\nReframing the bottleneck in terms of L2-to-SM bandwidth: total traffic scales as number of Q tiles times KV bytes, and the competing expert implementation that splits work across two CTAs per pair effectively halves that traffic per SM. Yet it's only about 3% faster than my approach, which suggests their kernel is bound by something other than bandwidth — likely tensor-core utilization — while mine is bandwidth-bound, meaning capturing that same 2x traffic reduction could matter more for us than it does for them.\n\nI'm now exploring whether Triton's cluster launch with two CTAs could let us share smem tiles, but it crashed with a PlanCTA assertion, possibly due to conflicting CTA layouts from multiple dots or reductions in the kernel. I'm wondering if a simpler kernel structure would be cluster-friendly, though the main warp-specialized loop is fairly complex, and I'm noting that Triton does seem to support two-CTA tensor-core MMA for tl.dot under num_ctas=2.\n\nI tested num_ctas=2 with a simpler config and it still crashed in PlanCTA, likely due to the reduction or broadcasting ops, so I'm deciding to abandon this direction given the limited time left and instead consider improving L2 reuse across groups to cut HBM traffic.\n\nThinking about the WRAP=2048 case, the 8% improvement makes sense because HBM fills compete with L2→SM reads for the same L2 bandwidth, so eliminating HBM traffic frees up that bandwidth entirely. Since HBM fills can't go below 1x KV, it looks like we're already near the L2 bandwidth ceiling around 11.3 plus whatever fill overhead remains.\n\nWith the strict ≥1.0x geomean bar and current performance at roughly 0.98, I need to find small remaining optimizations. K and V tile loads, Q loads, and partial writes all seem negligible compared to the main data movement per CTA, so I'm checking whether the masked tail handling or extra prefetching beyond segment boundaries might be wasting bandwidth.\n\nThe wasted prefetch is tiny relative to total traffic, so L2 bandwidth per FLOP is essentially fixed unless I change BM, but TMEM constraints lock BM at 128 given D=256. Packing two heads at the GQA ratio already maximizes K/V reuse per row at M=128, and running two CTAs per SM doesn't work because TMEM can't fit both O and S tensors — so this bandwidth level appears to be a hard floor.\n\nI also consider converting K/V to FP8 on the fly to halve traffic, but the conversion pass itself costs about 1.6GB of HBM traffic (~200+us), which defeats the purpose. So I'm accepting the bandwidth bound and shifting focus to optimizing second-order effects instead.\n\nSegment switch overhead for straddling CTAs and kernel launch setup costs are worth measuring directly — I want to instrument each CTA with start/end timestamps via inline asm writing to a buffer, which would expose load imbalance and startup/teardown overhead concretely.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iw98o3dpNjmsuWxFF6","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01KpjugKiUknxwHsCuu1HT9d","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v7.py').read()\ns = s.replace(\"\"\"    c = tl.program_id(0)\n    full = c < GF * QT\"\"\", \"\"\"    c = tl.program_id(0)\n    t_start = tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1)\n    full = c < GF * QT\"\"\")\ns = s.replace(\"\"\"            retry = over\n            p = tl.where(over, p, p + 1)\n\"\"\", \"\"\"            retry = over\n            p = tl.where(over, p, p + 1)\n            t_seg = tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1)\n            tl.atomic_add(TS + c * 8 + 2, 1)\n            tl.store(TS + c * 8 + 3 + tl.minimum(tl.load(TS + c * 8 + 2), 4), t_seg)\n    t_end = tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1)\n    tl.store(TS + c * 8, t_start)\n    tl.store(TS + c * 8 + 1, t_end)\n\"\"\")\ns = s.replace(\"def _attn_fwd(Q, K, V, OP, LP,\", \"def _attn_fwd(Q, K, V, OP, LP, TS,\")\ns = s.replace(\"_attn_fwd[(T,)](q, k, v, op, lp,\", \"TS = torch.zeros((T * 8,), device=q.device, dtype=torch.int64)\\n    _TS.append(TS)\\n    _attn_fwd[(T,)](q, k, v, op, lp, TS,\")\ns = s.replace(\"NUM_SMS = 148\\n\", \"NUM_SMS = 148\\n_TS = []\\n\")\nopen('v7ts.py', 'w').write(s)\nEOF\ncat > tsrun.py << 'EOF'\nimport sys, torch\nsys.path.insert(0, '/workspace'); sys.path.insert(0, '/workspace/dev')\nimport task as T\nfrom bench import load\nmod = load('/workspace/dev/v7ts.py')\nfor sh in [dict(B=1,Sq=256,Sk=131072), dict(B=1,Sq=512,Sk=65536), dict(B=2,Sq=256,Sk=65536)]:\n    case = T.make_case(sh, 1, 'cuda')\n    flush = torch.empty(512 * 1024 * 1024 // 4, dtype=torch.int32, device='cuda')\n    for _ in range(3):\n        flush.zero_(); mod.kernel_fn(*case.args)\n    torch.cuda.synchronize()\n    ts = mod._TS[-1].view(-1, 8).cpu()\n    t0 = ts[:, 0].min()\n    st = (ts[:, 0] - t0).float() / 1000; en = (ts[:, 1] - t0).float() / 1000\n    nseg = ts[:, 2]\n    dur = en - st\n    print(sh, f'start spread {st.max():.1f} us, end min {en.min():.1f} max {en.max():.1f} us, dur min {dur.min():.1f} max {dur.max():.1f}')\n    for n in sorted(set(nseg.tolist())):\n        sel = nseg == n\n        print(f'   nseg={n}: count {int(sel.sum())}, end mean {en[sel].mean():.1f} max {en[sel].max():.1f}')\nEOF\npython tsrun.py","description":"Instrument per-CTA timelines with globaltimer"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1933,"cache_read_input_tokens":283044,"cache_creation":{"ephemeral_5m_input_tokens":1933,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4cae8a33-1457-4d98-9b82-38c8b269482c","timestamp":"2026-10-18T00:04:37.936Z","request_id":"req_011Cg8iw8mU3CdPUqeizaKou"}
{"type":"system","subtype":"task_started","task_id":"b8g2kffub","run_id":"0mvd2cu4s-e7d8fa20","tool_use_id":"toolu_01KpjugKiUknxwHsCuu1HT9d","description":"Instrument per-CTA timelines with globaltimer","is_backgrounded":false,"task_type":"local_bash","uuid":"a055bfd0-5f7b-463f-a911-f843659bed88","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"b8g2kffub","run_id":"0mvd2cu4s-e7d8fa20","tool_use_id":"toolu_01KpjugKiUknxwHsCuu1HT9d","status":"completed","output_file":"","summary":"Instrument per-CTA timelines with globaltimer","uuid":"0f1835d4-5329-4819-ad9d-0860013acfcd","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01KpjugKiUknxwHsCuu1HT9d","type":"tool_result","content":"{'B': 1, 'Sq': 256, 'Sk': 131072} start spread 0.2 us, end min 346.9 max 366.0 us, dur min 346.9 max 365.8\n   nseg=1: count 120, end mean 353.2 max 356.1\n   nseg=2: count 28, end mean 364.0 max 366.0\n{'B': 1, 'Sq': 512, 'Sk': 65536} start spread 0.1 us, end min 337.2 max 351.3 us, dur min 337.1 max 351.3\n   nseg=1: count 88, end mean 341.3 max 344.6\n   nseg=2: count 60, end mean 348.0 max 351.3\n{'B': 2, 'Sq': 256, 'Sk': 65536} start spread 0.2 us, end min 348.4 max 370.4 us, dur min 348.4 max 370.3\n   nseg=1: count 88, end mean 354.3 max 358.5\n   nseg=2: count 60, end mean 365.6 max 370.4","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f87dd608-4681-4758-bc41-fd9fa934aa81","timestamp":"2026-10-18T00:04:44.488Z","tool_use_result":{"stdout":"{'B': 1, 'Sq': 256, 'Sk': 131072} start spread 0.2 us, end min 346.9 max 366.0 us, dur min 346.9 max 365.8\n   nseg=1: count 120, end mean 353.2 max 356.1\n   nseg=2: count 28, end mean 364.0 max 366.0\n{'B': 1, 'Sq': 512, 'Sk': 65536} start spread 0.1 us, end min 337.2 max 351.3 us, dur min 337.1 max 351.3\n   nseg=1: count 88, end mean 341.3 max 344.6\n   nseg=2: count 60, end mean 348.0 max 351.3\n{'B': 2, 'Sq': 256, 'Sk': 65536} start spread 0.2 us, end min 348.4 max 370.4 us, dur min 348.4 max 370.3\n   nseg=1: count 88, end mean 354.3 max 358.5\n   nseg=2: count 60, end mean 365.6 max 370.4","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01KpjugKiUknxwHsCuu1HT9d","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8izgCusPZtmFY23oTum","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"This is quite revealing: single-segment CTAs finish around 353 us while two-segment CTAs run about 364 us, meaning a segment switch adds roughly 11 us, a surprisingly large 3% overhead that ends up governing total kernel time. Adding in the combine step and launch gaps, the overall measured kernel time lands around 380 us.\n\nI'm trying to figure out why a segment switch costs so much — candidates include the epilogue's TMEM-to-register extraction and 128KB store, pipeline drain waiting for all MMAs to finish, and the cold-start latency of loading Q and K/V for the new segment, since all CTAs in the group switch synchronously.\n\nI'm also weighing the cost of the masked m_init load (likely a no-op since the mask disables memory access when not retrying), and the overhead of recreating the TMA tensor descriptor on-device — writing it to global scratch memory and issuing the tensormap fence, which could itself add a microsecond or two.\n\nLooking at the straddling CTA case, the extra ~11us overhead seems purely structural since both segments process the same total block count (443) just split in two. To reduce this, I'm considering aligning group boundaries with head boundaries wherever possible, though that introduces its own imbalance since groups-per-head won't divide evenly (37 groups across 8 heads means uneven block ranges like 410 vs 512 blocks per head).\n\nAlternatively, I'm thinking about hoisting descriptor creation outside the loop since for B=1 the batch offset never changes, or collapsing to a single 2D descriptor over the whole tensor so TMA zero-fill only triggers at the tensor's true end rather than at every batch boundary — though that risks reading across batch boundaries incorrectly for keys near the end of a batch.\n\nConfirming that any block containing keys beyond kv_end must fall in the masked region, so the zeroed probability times finite values just gives zero, no NaN risk since inputs are finite bf16. The prefetch reading past the tensor boundary is safe too, since it's zero-filled by the descriptor.\n\nSo a single pair of descriptors outside the loops suffices, avoiding per-segment descriptor creation overhead. I'm now weighing whether to prefetch the next segment's Q load earlier, and considering making the epilogue store use bf16 partials or an async TMA store from shared memory to overlap with compute, though smem reuse after the K/V loop would need to be restructured since Triton allocates buffers separately. To figure out what's actually consuming the 11us, I want to instrument finer timestamps around segment boundaries.\n\nLet me add timestamp captures at the top of each segment's loop body, right after the attention loop returns with the accumulator ready, and after the final debug barrier, writing each into timestamp slots so I can see the actual gaps between Q load, compute, and store phases for the 2-segment CTAs.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4742,"cache_read_input_tokens":284977,"cache_creation":{"ephemeral_5m_input_tokens":4742,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"dc57da91-3bcf-4423-86c2-c7e62de3f29f","timestamp":"2026-10-18T00:05:11.891Z","request_id":"req_011Cg8izfs5d9xiafwU8UfX1","thinking_duration_ms":25485,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8izgCusPZtmFY23oTum","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The per-CTA timelines reveal that each switch between KV-head segments adds about 11 µs, pushing total runtime based on segment count. I'll now time the phases within a segment to pinpoint where those 11 µs are spent.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4742,"cache_read_input_tokens":284977,"cache_creation":{"ephemeral_5m_input_tokens":4742,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0f26bfb5-6e90-461c-8af1-654da7b64fcf","timestamp":"2026-10-18T00:05:11.893Z","request_id":"req_011Cg8izfs5d9xiafwU8UfX1","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8izgCusPZtmFY23oTum","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_0141Y1Cq142bwBRaXkk3bLvC","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v7.py').read()\nTSX = 'tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1)'\ns = s.replace(\"\"\"        while p <= p_hi:\n            b = p // HKV\"\"\", f\"\"\"        while p <= p_hi:\n            ta = {TSX}\n            b = p // HKV\"\"\")\ns = s.replace(\"\"\"            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\"\"\", f\"\"\"            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\n            tb = {TSX} + (tl.sum(q.to(tl.float32), 0) * 0).to(tl.int64)[0:1].sum() * 0\"\"\")\ns = s.replace(\"\"\"            m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\"\"\", f\"\"\"            tc = {TSX} + (tl.sum(m_ref, 0) * 0).to(tl.int64)\n            m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\"\"\")\ns = s.replace(\"\"\"            retry = over\n            p = tl.where(over, p, p + 1)\n\"\"\", f\"\"\"            retry = over\n            p = tl.where(over, p, p + 1)\n            td = {TSX}\n            ns = tl.load(TS + c * 16)\n            tl.store(TS + c * 16 + 1 + ns * 4, ta)\n            tl.store(TS + c * 16 + 2 + ns * 4, tb)\n            tl.store(TS + c * 16 + 3 + ns * 4, tc)\n            tl.store(TS + c * 16 + 4 + ns * 4, td)\n            tl.store(TS + c * 16, ns + 1)\n\"\"\")\ns = s.replace(\"def _attn_fwd(Q, K, V, OP, LP,\", \"def _attn_fwd(Q, K, V, OP, LP, TS,\")\ns = s.replace(\"_attn_fwd[(T,)](q, k, v, op, lp,\", \"TS = torch.zeros((T * 16,), device=q.device, dtype=torch.int64)\\n    _TS.append(TS)\\n    _attn_fwd[(T,)](q, k, v, op, lp, TS,\")\ns = s.replace(\"NUM_SMS = 148\\n\", \"NUM_SMS = 148\\n_TS = []\\n\")\nopen('v7ts2.py', 'w').write(s)\nEOF\ncat > tsrun2.py << 'EOF'\nimport sys, torch\nsys.path.insert(0, '/workspace'); sys.path.insert(0, '/workspace/dev')\nimport task as T\nfrom bench import load\nmod = load('/workspace/dev/v7ts2.py')\nfor sh in [dict(B=1,Sq=256,Sk=131072)]:\n    case = T.make_case(sh, 1, 'cuda')\n    flush = torch.empty(512 * 1024 * 1024 // 4, dtype=torch.int32, device='cuda')\n    for _ in range(3):\n        flush.zero_(); mod.kernel_fn(*case.args)\n    torch.cuda.synchronize()\n    ts = mod._TS[-1].view(-1, 16).cpu()\n    t0 = ts[:, 1].min()\n    for c in [0, 1, 5, 20, 40, 100, 147] + [i for i in range(148) if ts[i, 0] == 2][:6]:\n        ns = int(ts[c, 0])\n        row = []\n        for sg in range(ns):\n            a, b, cc, d = [(ts[c, 1 + sg * 4 + i] - t0).item() / 1000 for i in range(4)]\n            row.append(f'seg{sg}: start {a:.1f} qload {b - a:.1f} loop {cc - b:.1f} epi {d - cc:.1f} end {d:.1f}')\n        print(c, ' | '.join(row))\nEOF\npython tsrun2.py 2>&1 | tail -15","description":"Phase-level timestamps within segments"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4742,"cache_read_input_tokens":284977,"cache_creation":{"ephemeral_5m_input_tokens":4742,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"b4dbae79-661b-4ed2-97ee-74f8044f5f0b","timestamp":"2026-10-18T00:05:20.112Z","request_id":"req_011Cg8izfs5d9xiafwU8UfX1"}
{"type":"system","subtype":"task_started","task_id":"biydkidop","run_id":"0mvd2dqnv-523c3be9","tool_use_id":"toolu_0141Y1Cq142bwBRaXkk3bLvC","description":"Phase-level timestamps within segments","is_backgrounded":false,"task_type":"local_bash","uuid":"8bc2a494-d86d-47c8-be1a-25c065942cba","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"biydkidop","run_id":"0mvd2dqnv-523c3be9","tool_use_id":"toolu_0141Y1Cq142bwBRaXkk3bLvC","status":"completed","output_file":"","summary":"Phase-level timestamps within segments","uuid":"022ed308-ce75-4fac-8b54-5a00a4dbee2e","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_0141Y1Cq142bwBRaXkk3bLvC","type":"tool_result","content":"triton.compiler.errors.CompilationError: at 50:126:\n            hi = tl.minimum(hi, kv_end)\n            kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n            q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n            mid = tl.maximum(tl.minimum(full_end, hi), lo)\n            gf = ((p * NB + 1) * T - 1) // (W * QT)\n            slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\n            tb = tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1) + (tl.sum(q.to(tl.float32), 0) * 0).to(tl.int64)[0:1].sum() * 0\n                                                                                                                              ^\nunsupported tensor index: <triton.language.core.slice object at 0x2ae2a5de4ec0>","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d841b90a-c679-4a2c-b534-1d55d26eddf5","timestamp":"2026-10-18T00:05:24.637Z","tool_use_result":{"stdout":"triton.compiler.errors.CompilationError: at 50:126:\n            hi = tl.minimum(hi, kv_end)\n            kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            q_ptr = Q + ((b * Sq + qi[:, None]).to(tl.int64) * HQ + hk * G + (rows % G)[:, None]) * D + rd[None, :]\n            q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n            mid = tl.maximum(tl.minimum(full_end, hi), lo)\n            gf = ((p * NB + 1) * T - 1) // (W * QT)\n            slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\n            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\n            tb = tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1) + (tl.sum(q.to(tl.float32), 0) * 0).to(tl.int64)[0:1].sum() * 0\n                                                                                                                              ^\nunsupported tensor index: <triton.language.core.slice object at 0x2ae2a5de4ec0>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_0141Y1Cq142bwBRaXkk3bLvC","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j3dtbmyTjb2r2D9Y6i","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GJe4UTwyDf7bfVZKzGo75F","name":"Bash","input":{"command":"sed -i 's/ + (tl.sum(q.to(tl.float32), 0) \\* 0).to(tl.int64)\\[0:1\\].sum() \\* 0/ + (tl.sum(tl.sum(q.to(tl.float32), 0), 0) * 0).to(tl.int64)/' v7ts2.py && python tsrun2.py 2>&1 | tail -15","description":"Fix instrumentation and rerun phase timing"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4582,"cache_read_input_tokens":289719,"cache_creation":{"ephemeral_5m_input_tokens":4582,"ephemeral_1h_input_tokens":0},"output_tokens":20,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"4090e505-931f-4982-bed9-9d7b85d7fdd2","timestamp":"2026-10-18T00:05:28.006Z","request_id":"req_011Cg8j3dW2Z3iWUWty1XGJC"}
{"type":"system","subtype":"task_started","task_id":"bpdiy74rs","run_id":"0mvd2dwr9-37d57f2c","tool_use_id":"toolu_01GJe4UTwyDf7bfVZKzGo75F","description":"Fix instrumentation and rerun phase timing","is_backgrounded":false,"task_type":"local_bash","uuid":"7a673e2e-f0d0-4530-b16b-2492d8d2fe31","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bpdiy74rs","run_id":"0mvd2dwr9-37d57f2c","tool_use_id":"toolu_01GJe4UTwyDf7bfVZKzGo75F","status":"completed","output_file":"","summary":"Fix instrumentation and rerun phase timing","uuid":"174c56ca-52a6-4671-9dbe-6ab24bb67446","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GJe4UTwyDf7bfVZKzGo75F","type":"tool_result","content":"0 seg0: start 0.2 qload 3.6 loop 344.5 epi 4.4 end 352.7\n1 seg0: start 0.2 qload 3.7 loop 344.4 epi 4.4 end 352.7\n5 seg0: start 0.2 qload 3.7 loop 346.0 epi 4.3 end 354.2\n20 seg0: start 0.2 qload 3.6 loop 345.5 epi 4.3 end 353.6\n40 seg0: start 0.1 qload 3.8 loop 341.8 epi 4.1 end 349.9\n100 seg0: start 0.1 qload 4.2 loop 343.7 epi 4.3 end 352.4\n147 seg0: start 0.1 qload 3.9 loop 342.6 epi 4.2 end 350.8\n16 seg0: start 0.2 qload 3.5 loop 213.8 epi 4.4 end 221.9 | seg1: start 222.6 qload 3.9 loop 134.5 epi 4.0 end 365.1\n17 seg0: start 0.2 qload 3.7 loop 214.4 epi 4.4 end 222.7 | seg1: start 223.4 qload 3.8 loop 133.8 epi 3.9 end 365.0\n18 seg0: start 0.2 qload 3.7 loop 215.2 epi 4.4 end 223.5 | seg1: start 224.2 qload 4.2 loop 132.7 epi 3.9 end 365.0\n19 seg0: start 0.2 qload 3.3 loop 216.3 epi 4.3 end 224.1 | seg1: start 224.8 qload 4.5 loop 131.7 epi 4.0 end 365.1\n36 seg0: start 0.1 qload 3.9 loop 89.8 epi 4.1 end 97.8 | seg1: start 98.8 qload 4.5 loop 256.9 epi 4.1 end 364.4\n37 seg0: start 0.1 qload 3.6 loop 90.7 epi 4.0 end 98.4 | seg1: start 99.4 qload 4.3 loop 256.6 epi 4.1 end 364.4","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"97d00c22-5940-47aa-8b69-79b82d658394","timestamp":"2026-10-18T00:05:33.832Z","tool_use_result":{"stdout":"0 seg0: start 0.2 qload 3.6 loop 344.5 epi 4.4 end 352.7\n1 seg0: start 0.2 qload 3.7 loop 344.4 epi 4.4 end 352.7\n5 seg0: start 0.2 qload 3.7 loop 346.0 epi 4.3 end 354.2\n20 seg0: start 0.2 qload 3.6 loop 345.5 epi 4.3 end 353.6\n40 seg0: start 0.1 qload 3.8 loop 341.8 epi 4.1 end 349.9\n100 seg0: start 0.1 qload 4.2 loop 343.7 epi 4.3 end 352.4\n147 seg0: start 0.1 qload 3.9 loop 342.6 epi 4.2 end 350.8\n16 seg0: start 0.2 qload 3.5 loop 213.8 epi 4.4 end 221.9 | seg1: start 222.6 qload 3.9 loop 134.5 epi 4.0 end 365.1\n17 seg0: start 0.2 qload 3.7 loop 214.4 epi 4.4 end 222.7 | seg1: start 223.4 qload 3.8 loop 133.8 epi 3.9 end 365.0\n18 seg0: start 0.2 qload 3.7 loop 215.2 epi 4.4 end 223.5 | seg1: start 224.2 qload 4.2 loop 132.7 epi 3.9 end 365.0\n19 seg0: start 0.2 qload 3.3 loop 216.3 epi 4.3 end 224.1 | seg1: start 224.8 qload 4.5 loop 131.7 epi 4.0 end 365.1\n36 seg0: start 0.1 qload 3.9 loop 89.8 epi 4.1 end 97.8 | seg1: start 98.8 qload 4.5 loop 256.9 epi 4.1 end 364.4\n37 seg0: start 0.1 qload 3.6 loop 90.7 epi 4.0 end 98.4 | seg1: start 99.4 qload 4.3 loop 256.6 epi 4.1 end 364.4","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GJe4UTwyDf7bfVZKzGo75F","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j4KCikNq2AJwGTTq1g","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Each segment costs roughly 8 us total between the qload phase and epilogue, so a 2-segment CTA doubles that overhead to 16 us versus 8 us for one segment, plus the loop's own pipeline fill cost. The qload phase itself stands out at 3.6 us, which seems high given it's just descriptor creation plus loading Q and LSE.\n\nThat slowness likely comes from all 148 CTAs hitting HBM simultaneously for Q (9.5MB total), causing latency contention at the start. Similarly, the 4.3 us epilogue — storing 128KB fp32 plus computing o = acc/l from TMEM — seems too slow for the raw byte count alone, suggesting the epilogue is actually waiting on pipeline drain: the TMEM read can't start until the MMA partition finishes its final PV multiply, even though the default partition (softmax) has already returned from the loop. Possible fixes include storing bf16 instead of fp32 to halve epilogue bytes, or restructuring to avoid the epilogue stalling on the last MMA's completion.\n\nI'm also noticing the division o = acc/l is doing 32768 fp32 divisions across 256 threads, each division costing ~10 instructions — replacing this with precomputed reciprocals multiplied in would be a cheap, easy optimization. Beyond that, I'm considering switching the Q load to use TMA descriptor loads rather than pointer-gather, since the two heads per query are contiguous in memory and could be loaded as a single larger chunk.\n\nSince TMA box dimensions cap at 256 per axis, the natural [64,512] box is too wide, so I'm reshaping the view into 3D to load a [64,2,256] box and then reshape it to [128,256] so each row maps to a (query,head) pair correctly. I'm unsure whether Triton actually supports reshaping a descriptor-loaded tensor before feeding it into an MMA, since that would require routing through registers and a local allocation.\n\nComparing the TMA approach to the existing tl.load: both ultimately go through registers, and a bulk async TMA load may not actually be faster than 256 threads computing addresses and issuing vectorized loads, since HBM latency dominates either way and the per-thread address math isn't too costly. I suspect the measured 3.6us is mostly due to descriptor creation overhead and the initial HBM latency hit for Q rather than the load mechanism itself.\n\nFor each CTA at the start of a segment, Q gets pulled from uncached HBM and shared across 37 CTAs, so whichever one arrives first takes the full miss penalty — I want to check what else lives in that \"qload\" phase, like the slot/gf math, the masked m_init load, and the two descriptor creations. I'm thinking of testing whether hoisting descriptor creation out of the loop into single descriptors over the full view speeds up the qload measurement, and also considering how to minimize (not eliminate) the epilogue/prologue costs for straddling CTAs.\n\nRunning the numbers: single-segment CTAs total ~352us while two-segment CTAs total ~365us, with the loop itself running slightly longer for two segments (348 vs 344) due to pipeline fill/drain. If I can cut per-segment overhead from ~8us to ~3us, that brings the two-segment total down to ~355, closing most of the gap — roughly a 2.7% win. I'm also considering rebalancing block assignment so two-segment CTAs get fewer blocks to compensate.\n\nActually torch.tensor isn't in the allowed chain list, so I can't upload boundary data from the host — I'd need to compute group boundaries in-kernel instead, maybe via a cheap loop over the ~37 groups. I'm trying to find a closed-form or greedy equal-cost partition that accounts for per-segment overhead directly within the kernel logic.\n\nStill working out the slot mapping...\n\nI need to make sure empty ranges from a gap-only intersection get skipped properly on the CTA side, while the combine side's group counting must stay consistent with that — otherwise a head could be looped over by a CTA but contribute nothing, or worse, get double-counted against the group tally.\n\nI'm thinking about how to handle the empty-range case in the loop itself: just mask the writes so nothing gets stored when the range is empty, even though the prologue dot-product still executes wastefully — that overhead is rare since it only hits groups whose range starts inside a gap. As an alternative, I could adjust the starting index p_lo directly to skip past gaps entirely.\n\nIf p_lo exceeds p_hi after the adjustment, there's simply no work for that head. I'm now working out how groups combine: g_first and g_last mark the boundary groups overlapping head p's real range, with everything strictly between them guaranteed to intersect, and the kernel slot index is just the offset from g_first. Now I need to pin down the actual value of ovh.\n\nThe measured overhead per extra segment works out to roughly 12us, which translates to about 15 blocks given a per-block cost of 0.78us — reducing overhead through descriptor hoisting might bring that down to ~8 blocks, so I'll treat ovh as a tunable value to measure empirically. I also need to account for partial groups where a CTA processes multiple q-tiles sequentially across the partial range, since each q-tile iteration incurs its own segment overhead — for QT=8, RP=4, that's 2 q-tiles per partial CTA times however many segments fall in that trailing range.\n\nFor the Sq=512/Sk=64K case, the partial range comes out to about 221 blocks, so each partial CTA handles 2×221=442 blocks with two overhead segments (since this range doesn't straddle a head boundary), compared to a single overhead segment for a non-straddling full CTA doing the equivalent 442.8 blocks.\n\nThe measured timeline shows nseg=2 CTAs ending around 348 vs 341 for nseg=1, so I need the cost model to penalize the partial group for its extra segment overhead by reducing its allotted range accordingly. I'm working out how to express this penalty in virtual units: a full CTA covers L virtual units with one segment of overhead, while a partial CTA covering (QT/RP) q-tiles at range L_p costs (QT/RP)×L_p plus (QT/RP - 1) extra overhead segments.\n\nThat equalization formula is getting complex, so I'll defer it and first tackle simpler wins: hoisting descriptors into single global ones, and speeding up the epilogue with reciprocal multiply instead of division. I'll implement those two changes first, measure with the timeline instrumentation, then revisit the cost-model partitioning with virtual gaps.\n\n","signature":"CAQS9GYKEAgSGAI4AUIIdGhpbmtpbmcSDHJ7Q7dU1aHzJNO8zRoMKSywwqDGGNIZFUnWIjC3kuYgzPeaP/tuByKCjiyi2teC7SlGZ5UZO71/XIPJa6OoU9pAvVjNttRTnwGNQdcqkWYCwDbJLiXbkteOcVR4lvpxHXhsKeAxF/0o/FbDlaCiXdAIXe2eohee7166ji7djoHxp9cpxYzaMolbzoyn8crXqfQC2UNBEp8K6aAtua5yr3xAXjRApzp0X8e6WlX+lsFrRstrPnCEQBi6lOeLtan5xLOtmoS05GB/o+kPHS3KKZBGxLgu/pXcZsXEvGwfB3DTjnPhjAGqaG+HaiPSBbgSh5h4e+zd4TTKBWrWGgLXz53UPraQfIp83vm8gFlmgmHLUmpiEps4ucVoJMN2JEgcD0WYYPTx9/BMnXe6E7J8e//0EH0y4nTBJsaOxC4k51oDw1rbNbGLGYDMTi1eV+IwbvTjoBKhMtfB3LjB2XTJiE8Wu+xuJH9NnFR+EXukQR+Y4DgJQxXSfbKwkOpXe6wP5S5wTd4U6W+5Qsjm0n3gW5i/ivpJNI0zn/5TDl4oxWhXMJtVqCwxRNJgGfZvJLLvKbqOy8jo9JByW9wQg9S6N3WSmhFqz+UCDIjQFq3WzNE+WC1uIukW6ZPIyfJYyTuIM0LBMrKhZKJRGHVbOVxHYIg+r/1mvGGyeqjXz0E+TivulO2yF+6H/kJHf8uoaB/BwWVChLOqMk2DmQgDuRtkg63/pS8DX8lf8AzggREeRuCcZcmBUJOcVgOfXNoVuPQ7mAPWhDZW7I+d5IyvApUuegRQta4iJYUG1gWseBvAdWpmYhW0H8nBl58XDInNzKZPxIucCcWjf3gAqlfEp5KykYQ/Mk2+f3I6MfJvOJs4EP1e4TOTA7I0ChqdTGfosI6iEKnOFTHj8EWsMLsfr7MvThcZINBd8exJrp0Fm6kpTCZydSMcE0yU8gPmlHC+ZYbzkhYdMTne5L0/COWtv8PTT2cGrRY19El66BdfccsL/NFjGq95Wrt19KAxYt7kD4xNOAb69K3hMggxcQt14uIk+qjJp8JaOUbXAwjLIDhbOjSD5OmTbxYrzegKP4naV2K7lrCwcoIB3lTSMebmwMpYagxGQgHFNvnXGM2578W5xE4IL6bBg6sE+14RMv7izSZtESPQSyroorsD451dNqshjyTuAqjMumiFgbMXUE77veVNeTlbcq+xszH4/Yv7Czv1uRfcueVh388z2IyniL9OCOU2NjNXnuCHB63kRkiAo+3ThD8mX6MMyokKToKzYDkTVAVHMHieHPIYrCIY1eQ5YK4TTCDRsX7yE2p11YDJ6uEfN5VgXEvSnXdBuLDYaOv+2RmU4Hme0WXAzkmiKqZd1TvZOM7iXcNCIMupqFbzaEdjVQF0vHyWPuXLBk7ymr/hapT5VE6U3y9+uF8MiwguH/k7lpoBDGI4askHEtrbqAQzCi0Bbo15Pj4RkN6dZuPfPmg+LauWajgAWCWm0U82sZcQMqyJbpwBl9hIZxNcJ/uwis8Ra/+dVJnGTXrSbNTU4aLUnfFliejhen5ggLeNg+KJOTzt2jQt5rfpxphn0ccvzTkw1eREITxQH7+nE2V0fmDqN+LyQL2YIJd8GNMAyR4ZL1q2vJPrz9HdO5EvR15boG7mOSkqanqIwEh3QowckMM/76pDBUhPohTvbvYKUsRLlLAyN+REthm4p4V5F3O28aVzk0sYle0RpbyPx3RVUhnql+f2viIoa4XVy/1W9MCWM8qN8QOYoipoPiY8accJfgh5SpJNt8dUUifxSjKLL6O6w7T24mi1t3FW5ktKSpLe7hh7krvQV/qG6tKOUlFavT4eFiYDiRVm1gu85KB1hU6/kMfAAeSVBOwewH8zDOOvM8TI1q3wZ4VBuz757ZNyzYG08FwSbIsbeQ/f6dGj3w8TQdbTJyZuwyO0StwmmtEMSl2zCSYxVhpUIi+Wj7hVgcNQ0aMrUZoY8y8k6ubofVQiswvKK8a7LFCIVD6yFoxXIjzQwAsbqdTNsT34CErZR4AiXk/UCDbjn6deknStXhEPFEIOQNXJQexdI0PbZO5F4hNLCDygVv8f26vH4ekltvoy4+2wKfI1bw5eeljghCVLv1eVzbMSOhr4TkktIgb1HxtywsH1wvghXsysDceoyyIoAZwHHhx+RYdhIs86iNBrsc4aA4ODE5TrujBYbvHOv+TvRq7Kjbuptz9Df/cm0LXfT0DdUCiQ6+0dY0i5um+ExAKdYLcJiuJnMYjO8Z5Plkwgx6uwg7QM2xMwjnhhtMh+sOGyojS3PIV0RwRnpFrqAkksqwLAEgGYmvP1mMH7oo3n6X+vMVKkTGOVHIVE1oBm9GYee6B3ZBpgNOZtgDmyjLHvPoTYodRT2fgmQTvLtOawWAF/bXIM39SKUgv3+V5kcIqC6neLyPFuN/eqSUXAumUez8I4oHatoT65qMoDBMzPl8/iljE6IajXTh1ssVRlpNS6K8BrANjIQ8w6F+nuYbnSlMvjka5eJcteg2WPXfuswse/7lCHVurS4TyZDCAm3DaXJjCKJthXdBNjMZLPWtbzvrMYWrZ8Fm7m8z4KlLT/9P4xGr7bgF1HJr+bfGtAivicrg97RUkOPm0f7eHS98nbD8m5BpWwpTXvEoO5by2s8vGf4nDfpTvbdEXFlHdGJBL3D3tkB1EASPiMt/tcg69vvi1n+NW3ALNhXajrlRFe32QVhNJxsT9d7w5S2246hAanPYSkbH/FqILdGN2A6BYaJ3Sefmy4qafAnSZF3DsjWrDiBVECGDXMRyxQREdE9o/EicqPQB+XXf1tl2rOlBom2YpQA/n9DOF4ACIW0clO3rl4mj3A2t1rfD4ibVv46GrrSggJcK3W9eFX8n8of1MumLZNqZBeCa08hkSF+oKnXbuVNjIY7q0olBMTmvpDlP5EUtcQszX8G6H/RQZGVjxdw3Wqogm5GkVH3dhwM5B9c5GW5hK9XkW+ePSmKbUiW9KU26q/5Kf1L6C423RiIYxDRMrMuvg8/cFEEyU19YaHCbT+zbHgb5va1jXSeYTKCF1D9LjYIGzCcCJh0BBPVEEGBZxXx5D8u1dIRnUo25LBiVbcBvI+mUhVmIFpsNSExQm9iSXbe5K6U9SkrafZMn3yLXYzJP5+0uhbHN0mppCnMgxJMbWRfl4qBmApEvsyU02lns0t4TP8UZCg6VO5dskc0kDmFlTXyGKPM+EHxRYdBSXeUTaNNmbFyNZ2SyniklOphNL5ySF3Y6DyvZAQGSXVvVcv6yp3iacV9Ap3xkRCVRE2x/nKURm0x/Cp/R+lJTkK8s0nnqw2fG2XrCPpb/0yTVqlY14icF8ZRi/yme8BnPpz9m0oXLY6Xrbf8MO2hTx0Lw4Z6623eX+1sAMzauKoGcLG8SlSQnELyR31d4QTSmnH+pUifOnyPg55orGuIETcBLrenKmZpciuvcRpLen2GXxveDC+vfREVMjazSO+x5N9XL+XNXEB4ZP1lOuvyff8ow8dELZl3dlJbjdXT7VFZ3rLJowCOLNkiUI38QO0H7lJ4iJxmlxSDZzjqZOeFDHvX1fL2bFWgHjmyZ3DtFPuv7hUw4tBvX+78485HUQwD81y83a0y9rtDxpbuowWLkhrV5LNHPDXsDOIMZwt/xNPSwGAC2t9bDPg4BFHBs07KWivJrv/ZD1fkDPCuUnaG1YlikBaqyzUTdUXXTInHyYTMPKuerF9Zw9cyN6F8yzlx73/ThnviK1lvMpygM0bgDnTXVXywOSL2l+htS5HU+Mxl9BmZi/Dpa0Dm51zDPym04IG1dG9XHOi21WNEuKQV0Q7Qfg3H7QlX7urPP11R1B0xq66nFEZ/thnHQlFEJ5V3UizjaTnsM9kjrPI+DWk0jfd3LoDVpVLhL6gV6FRNo7PoAeJnv+8mt1hsNIrNKrmbzm+KAZ0z8BklmuztvoJRxDHGFtO7ZByttRmx6l0huTeDMbLAOyHw5qy4pg6UMpE03wxYtP1QQAtbpYhK5OGHAsjwLox8zlhpeKNjq5l1UQhAFtYDYCigAZm1QRQHoMEl7AMCUfL+aiZuxtDTWO5Hcq9IXtYSreiWE6ArFEu03O8rlH6mI79Atlyi7mBtT26i/aHp2Gj3OAqhhBECmBaao+JMPFLipV/+I9MgiEiSGSl2o7g94mZfVy1i3BAAK162QUWxF7loGWOXoWzoV6ZHnwY/dzFR4iUT6iYWzGcNMPWVoevZmzLftOXmzTk6gaUkFfyV6ISFB+LpdL2r9muozRFAXRQa3Xwc+48kC4Da4bMps9R3kIrHm4c4DzykGcV/faYlPdJikSWonuvVsUj3KWbc/f+Svy78uOCnE+t8+ClUXINf3QXnzDe2nbd8AIhRbVv+LsikxYO8wGRZiniVlrZVHMRNCUUMc6WmT3cKOEadEVrmQ3vTSTyYOxuZ9D75JNMWItMJR1AyL2QCy/Y6hgb8mhnktE9OAYa5OpvESzN4NoldDavb8py5Y7bPoE0d5mW+aYYyA6QrG0GUq2MKOznDkEo1/2q0K5MG/E/mEM7HzBfDAD7jmKaWid5F2q1bjKqSZ1R0r9L0FrBbh+SBh0I3QAW6iYBLoPXDMUOtdbWAh1rjzLplEhe/toJVCMKOq6DMZT9VKg1O/4c0fQfV4EyNqoqp6stUk5DEYK0cxI/nCUdw+wcDsktW+Nrsoqdf1w/WN10JJhndS01ve6gP98uXiS4dRsrcmu998w2mCf4xahQ4X5/pkFRrHDZvzmCArJGoINGHbWwWGdvtAE2i/85mEBlY18jyfmaJurcaIhXGC8Y1w9rcrOCC7WvMT4tmReauCOD/f2VV2l9bJ/RtCc6Q3Ai8B7anRsnE+561DnyqCIcM1e8ePPI2/eCHdJdpt7RSVbZtqb9EeBg8Y4T7Hijk6ga0eXOSMDaW1u6U8eZSPAMOi1+IGxc/4q0amj9MH57qyyV33hnV5boITlYmGOOx1gotOAg5NRIgwmY2WaL+g1PVR4bgFNeu1q+/i2Agd/Bs+saiin/Yw0y6VDYPjyY8mN61qUAgfrkBuhsEivovbaXsf6nIVCS6Z2yhZxlR92A4inHRjqDf8Ou84ZfyIhRCrz/+nXLKC1YrUvRDuCAIcgUwoTp0o/0IHYFaepgS2baJV1O5y0XU45/AqQAN4M8vUnX0YvEZjV/orz0J4RXnkLPAFPN88GZVBbhQ8pScyprSyhMOXBH91ojrkusqfVb94glNFsQfR7KklyNf/iDHjp4cq4e5KkcnvtJOFi6DSHD+JSJuR/neKRLRvHx9MD9KkoTBGYZ2z3WSaiqj27ffxfuvSTXUbmasuvxK2RDw4+TY7M+xmoXmY9R5bCSqZt9o8nO5DwQrKyr/uSo8YRv9iij0LL8LiY8vLglMfLpJSzzJl0Y9tzbk2wJGFkqs4HAGz8PZW1JSih5/1Q/8FJjUpwphFEntHnXFCMvKA0ECd7EqFTGKL22uZw3YU7gM2mvXJev2LosfoBQTBTiVNXMT3+0vofEHA+eZf9PuBHXwsnf+CTTn8hvKma/PI/TS3zPPqCLdarG0NoAmoXnzJJj54E6BHvs0dWbD16AyjAQ0RNoSlDy3GAoQSh6n5SRZk73sOu0V0Gu9wKDxJj9RjY/SKaUKGirurMe3mp2ar1xlz+V/mBJxZp9UZWLGWl5T3eookrXn5Ec/LumWOnjQgWRIXyycpxwz+aWRyrtqe+OX0RmUldgmIWqYKPeIHqn9O1K4+xeDRD5W45BseT6d+qXPf8JBJWSI2klAOYIomtCo0yjPaLDBfaS/pEfCEh4SJN1PMr+cGeSqCoL/7+kkDQxHJxkaCJ0JAUMXW0kBURBB5m8JX/Yq3DrpaZuf2w/gtrq4Yu3PXOhMRSLEMVTxtZC3p6O7eUAsprp1ymo3IL+UgaXUWgPHscmTH2PHe0H269PqdJ7lq4XVrYtaMCHjqrjyg7g3TYT/ubaY4Bca7JmID/uIVGX2fuoqw4Y/+ekdVdt4/1SqWioELIi1r4awaytjWPIWjJu70ILmIxmOjKzdRSiRbt1wDckr3sQL9w4dsf9EF/Kt5Q3JhENnqy+tUHOZ4tvTFUNnCdNH8JPDwyjLs/3h9D2+jC5Q2AhcGOxTPXgiO1Qv8AixwMveyWmW7MfF/MXWc3L6bxwv2O0YnAuw2Lpc7F3qSB3yKgUcwwMSJV9CIO/FSCsqL+FHIzOn7wB6Uoxc5kk4KIDmiEUD97RZ4ns6AapvKISg65089bNALo7pNFakcrpMgxAhgmLL3JnNzfkK+uKi/1LXjuBpq3JOCYle2qZjMXo0qfr+W1uJnztUc/L7lGQqsClHNSex1uYluSLFkcRzUhSUWjIUzyYjcDz+PzUAMZZmzr+ueEvZDAH+nMBQ6S8ttkQW7xp3m6o824fIQBcCcGX8ePTZEatMXpC1FBagbGvpv2GVTDt7HHDztAxcOP5J0G5+/SVaYBKKfCB5R8HuTXrqUGrXlwuQ3BDe1YC4zucN7lBbQnsElJmf1l/FzWoHpZdM/3zwvPthJztepMPI3uypQZa0uGVk05DmMufkU9WftWoZHtWlxU9tgOw6Mh3l/GdpCSV8ThpXRYP5lO8LzBQe8PvDdecpehBa3IFRCVXo9GjnaYmOc32J7o4W5MZRgualqJGOSPtoSl2kcvZxnmmL5ZT2eqQEwn95jCisV+BYIZ0FjY9cRikSZpfh7Wzkd5iV4C7McmOA4hNeOLM0SLPed5uyoOcELn0SZbtjXM7bgPxfVcJZ3tS0vHxhuij84ddGS95pToXszE+B6B9dwMIhiFfwtFIN7p0HHbaVVOWZ4GuH5p0IE2g/nx6Atg++84XkSN1tYPgq1bpVvlaWI2FdE2OhkoEQ6me0P6obPrRITxDHkxTkwVqKfpo3zw1PG3BdV94qdPm7eQpZyH3yzDrTioUdk8zfdWa6n90oivNORpSwKnmDkd5w4njeYlOSeqJSqSeW/5y5BD+pW5JtHQih3UOYA1gxeisy5hPxFOyPFroVjkK+FscEMH1PqJO3lPv+FXwSB/eCoWhBhX+0x+tsoe+TlfZHLlNA++zcDvWmsPRMK3WIF/Fnz0hyTc0keaaqy0AGWdhdOYXXo/dHO2YflJBUKriTw8kwRr6ofST5RFoncMLmZ256ABdqTGCEAVwMPTQcE7uljsN6Y321fVdh5/bi+p0Zb+pBM7lv5fRyZhChi58L9eePcJOwMs6+p3oTS3xFIUoRAoKNs2ACAoafQsJOUmZy/bPnJZyPXOlg6KRg9JMm/zWZvyGna1Ydzvzy8zIXpOOugnAsN9GaUbf5+d4mVIQGhW5dioCraT/6Y4/Jj3CqWJD/o7LZUbi2Ex/JZ8aBwlFa7AHSpyTgpB8WmGp5vmML5L6VvCGqzyMTY+vnmt1FESxT6vccpVKaIQa6hEF5Orn9m4MjLbd7O+aQlYI/2li6GCB8cfpCmKjDbXgS4V9uWN0BjOls8tolyHciKBT6BFubjGFpV2gFJw1ApH8Y6sQWWCn+X4imYUtXaZxjHI0VZQYKcoW7TJ8BRS39auHyk2pKlvhHWINvCqiMBaY575TErT7tNXo+819PJR+QP494vsZARppzPENtwKRRa8vn1IIlj2MRT/Cwxbsy3MX+mtw8l9Cfy1uMbV4flLUITEm6Trgt9QvuKBj1Wh2UR7b3mn/xXoSyXS5fPN04VvJyGOYsNcDeJVuDEt8AagzStQbQGsHa3XjDeWbVCplJfnYamnwG0+qVs5OXwGzc/yhGukkZKrI2oXviLirPpjPogAYgxZAyKRXqCfst+ECfqu36yR4t8dIXFrfAJtqxOUz9+p6b7MP7+1LYTJcDqXCUnk0MxhvmawoclUiU0YWa0vseVHFqUj1E4bM2pupYq41UoxScRgwMa/rsk6sbpHd7jL30Ev/jmp6szUqVKvAW17YxjrUNYcD1nIzYc1MvKGfQrcBajRXggKka1256TwTSl7hJoUzgPg7KuSCs3wf4uzUUtImha3Xmjd+Dv2heR+CJQhyuMa8uFntf+mBl0rwlt7tbVUfkH+BAb69DbTxqOL3HCaeCE54rOINFpjHi1NU/WG91iFp5KhpgcKaq3zpnEYUVw9A5YJmgvBEu2pld+LzXRP6ypnL5hqaJ7GM1O/56LZvhJ2TfNfyb1RExQWF4esbKG4oRYFBUH5F6EMQ4MaA77cOUPbee/UYhZH0qVhJ8TxXMDLHl5fMMrA3+4TJrlOnM7llI+dBUfi4cOyvkfvp2GjuZizwskgkTb4jSuf21SfiWwlhEc/56RfodeGzh6DNRTo3zNppJvFExBGYm3f9RgueJa5lc3TOOOMWHTDaw5mWeJRXkpoxi7ePhLgWJEg1/Ae5aR10sWKxz9xrwruWuyTYdTBxgaKLTPZQfpBRgiycG0QUdhz+cKwW5ljU8udUgToLFiGSW9CV4dNsI7t+p2AuRbHzkVKfU4DeYIB7EAnfH3Lxodp8nAynNXEoY0nT/D/Lrztb8M/ScwLXCDtXizlT/YLzcIs3+PVX7fIABxXmvtuZ1Bs9gdvJzh8q2JQPaIEvT0YuizfTJNfUdXCYSyVU4xWS+XeummYMizp11mzYQeypoNaLAnNe3HHwvtgn+bVD4mWGqXPQv6mVxVuqraN8rix+hZWHhG6JYSqq45hFhXVzg3IP4VSj+jHFN4u+sElLD7kq45ZNjMuWb1lGBDIKM5ULszsaqMTLFyg/8r0bkMBU1yQz/RdGzN9fx1UxpZH5LrqzOzt0hieinge8hW97vr9eEc3duHvHyKWAtC7FBcCGEiTfbaRX7kw2ZzrnyXoNpS9nM8hMxtPUbNkWa9Y4dzAzu5ddnlIsOJhbM6ovK3VGvm8ztxOb3SkvO/5VVVX7X8VJqIOiPeBnqOU5le2NpsaNrX9GH4j31A6y47twEEfjHGDl/hmr+pPfMqvWpZmgDTJX56qUsd45LSdrm22pYDT6ORjZgo0+JkALravPOk2UGaUHdgwIzHQfDHQ4wHY5PL43AflOHqSHS4IfZShHj3QdAU8csGVZkBYNcGxHz5FibMMZrxU5PfFozTNhkAe33Q1A9j6A2Wq61wVB7ycPjsmtF+tT8LzJDKIe9/lJqFEkLIKEYlTxu0f+mLBrMCSKpI7TXrqGDpbG+Hb05RMR26Rx0snrW45SNp49HZRVhstuWVHPQkQ3VBku+kadWALbbQulYHaAXyvpzRA3w/cn+4Jx/vJ0gjFc4+ytdzgN+L2AHlV+2pBQG4uOeY9WyWuIO9q0VFySFptScp4j7smpGi/ka3AHqz7yV1BrW/cEhM8eVHm8oMGt0Fm/XfKL5hVRxXpTopoAoKQzWGMCbGJUcSjeydGw1NlZ3O3f8JMq6uH0W4RN+DwqkzluRW4ShPcSPdJwCvi6qUWs6+DjKZ3HZdQN73lqefF2P4fAZ11Baiw5xHyFBkUqw8BbFqNapT+ZXmYm9g7g/zUxHaCCH42BJj0eHNgag+24Q+GL+lKJ3L+wsXQ/OUgw+vOiHTSK+heiX6NzVxuP8bcLXWWB2MJGKyc9GYivLwzbzIX2+726w03PCakYI6O/kM8d7C9LGu7fMgc489O2XLYgUBihgcXFkwqbxSb+EejEpccsFqjhdfPl3TK31sWq+8ShZLiXrTaoUmsgA00JvHoZLtpdRaC91L6iWzVOJZtG/XcjZmXWvbmcVI800XT1NRYd0it4QG5iURcn2gg5bbkDpOc+Pwb/t6t/6sRn37/5kQ5pEsgORDpx4TiQZzE9UG/fgYFcCC9tISJz73T+ouA5V0I8pkdtHxt3nVw0qYer/yk7Vu04K842FD5Wl4VxlwuPZDI2k1tKyax3fa0n3AXSXaFGjWVKUq+0gp8sqmI7JuIERXKgGWEML78ang508hDpCfHYr65xx8zaci/hAcud0kYhg80pK8qL1EWQJKn29xOzPcuZaEOFGKotgwHX66wCAP9q1Q1vEN+EU6HFWQEZR0Uh5yeefNiXdsH1JNZ8rpqThZ0n4D1cXgkoKBHsepSc0DqsmDzVol+pB6E+iS6oDhTStEmDZw58u+Gk6rRladvbaRXPI1qwor9vWGQm2urIGFwukMXIjRWGTEFULI/KN6RTXlgoYkvRO5JhkRRKa55zHIAAZ5q/lD9SkvKUbWJe/hu5egmvze/pgrjZr/VyNaL+I5WQMe28LRyofpFYz9qMFhFolGMSOxKjoVew5iKA1x/NBnp8rG2AlEdrtNv55TJ4FSCkMbWEAg8byMekKtvwO8X7DwEdGdsd0pjpLYbIiRPREU8npB5Srt6iY2W4Z1rLykfB7qn3YZmaiT4DshtMVMxzxrycQUIy1U8mryjcO3lyA1u7NrDx74tayOlH7LeWXcd3s6Rw+WWkn5n2KoyNP8p11qAkqdK1Z2H/9B/dKHEp3CLGHtswiL2+CcKKelxApHStnWWLAqe8teR6iAKcGXayhzUb3YX8Un6QeYZji5qSvkHR9CgmV/wvrtfJLl5Sq1QG0pRNkSkwVGX+ypC5nGOxNYfHQgmdSI6YxXyDxQIClmXf51EssoLg9ErIex96bYmlFOk/Sh7mqTdIjcg87YK/xes6trCthJ28V2dWn1zPK/7RMQXSlHBW/eLWaEQsmr/X9K2zxjiilxEibjVSIKRj0ETpQZ3/meL9JEtyTCYAH1LFBkl1vltyBT+N0mxjx33qDeKcX4jeDYZ3HeKNNEnfU8kuJ0Idj9IKgIit56i4vg0Z6D73WzXAJbd1qD4ZoFghNHCF1y7Yl95GJ6Ih/E303VoFhISNKJo/3ZXn7Lbv10sdQ36YaRJrmxFnwXPqwBNRsZzgwF2etxiMEMVykfO905e1A6VzqkNd//HONXbuKKr0wxG6ViU0x+EFreKEiaQ2oAPHuzONTQu0kQgkTUfqJ0mSIlekgIw35rR5/5x6IEbN35CTkCu/kNKFNj4IPceAFG1wCxKBjU7aVXD2gx+eZhP7QfvgYZMdBF7o86zoHnrNUh7Lip9D0FwV9SAiQ/4ky1gLiEzxaLrv26qAb0zJxOTlISTVbHIAUIJhmJZhBJZgds3ON8c0P33KVapjOR4LrbfbNdLOUEhnHosS19tniHWXaBCC69Bh0GYUTQmmXjLqTptth4Ntx3rdBKN48tHSwrzoLwHdlIVKP1Bo8ypsOxaw7QsZelzYttDHXWbShy299Au9cBQhrSIdnwiDcG34yFM3mWLb3LIYshBUwhbnOX5qfmzzBKg4/N3XlMeF7RIfQegZEuMZlyTkNOaTGNR58XQKrc6lzL2Ul77DBXYggM4f6ithzCbmsMTuq1fDRCO7TVjZwa92yNSU7n/D6Mc0ZzOUimeFzC/shgBkoytPUNem1/gyPeTtU7KLybvZqmHShlnmAXu0RWLQFIt3XM2BZkPirMdVhvN0Jf56QzH+Vl7ZsZ1Cvd7Ao5iVx6vSrTxt7tmDh491hnOr0vgDkUFqquWWbxIHIE5crwrKQ+hbcAF6tIjFNNcOb6/HRe1ieOwzl03o4food4zXU/5DyaEbIOtK614+QxUWfiNnH/vfPPMQRYUEsblbANZZJENyoDPr6JlDQ3IzczvqhO4+PlDpTbDqs2M3WOTYuslGDn9RmDBbTVez13VPIzQPk+qxE+beWatbGOyFtofrnac7+mOSKhe/4XsyIIQjjV7urC0MHQ7TQO4Xs5qJONkoExd1O1m4V3JHfUz/FbOTX3tfV0j8aUnf43e1IPPd+EzdnIdOXu4IR3c64t0+oIX1chHAhJ/3yYTPAimxf6na8WhPF1NMr6WsB4GbAPPxfOvWzuA47Lt9HtaeeaY+fnVmQLHUCfvwW3T5zbRmuu5kwLKH+7zYT1OMrkg/oSOzXBbcf0eR6xC3col4fwpWEZhsZY5kSiRrtDitQgyGwebcqRfBELv7XNVa9hF25WXpU9lN5rqFekH1zJ/CuyL+GA141c6269oBm8kzOC7VAnun1uZ3XUd5agHCZrLjz21BYp1i4LvxjuBcKu53wMoEz47Ba3WDNKGe9OF1fSJCsCp6wUzYPWW8nBHLtDV1JF4kho5YQvKPKtNGzh0pI3I8V4VI+f/QjA2aU7beCU90GBq38S09OnZimYOYz2rN0Lyu+UwQjMxtyh6uzp78MwGsa3VASF2NXKKiqWKMIP211Mr1UZYtD/+ieBjWTZrqLYf+aPMpbv8hsPWNBVNyErSmZxR8hgTm4C5Qlf0377rWjSGdfO0HSAm6K2vHNJWQR2riC3rJoiVhLfDtLRYzTfEIV88sj1XQ4366OgJhEcy4YAERsxh6DBqUSKoby334LDk5BtTCPmDJlzraAoBUqnfRJrxC/BN9XB0tboeStRxpPC4bByYIL6tXarUgGiVEmcfU5pNMrGVVAIoSMc+m0CcB9zvGcQOVQoKKvDZJgDiJQ5LdX94qeI1QjvMdDuQBfPNvU3rkHwEp5gM9xIDQhauNkM+ve3Kw1wW2Z31RfTYmtFnMryylNcYGWZ4V83arysDn70w8pCq/g/PEBYdlMG+nT0y2LAGO/ySWJFyeq9oZtioqVYvPnGCh752mJxB2rNQFrur7CLj//vHhAhK2xGE36VxGgSwGQL9of1+VfHRmlF2imInKMd77QWUn65q/KIMbedpAwxHRVbaQuutBwm4NBFtIzJNsYTAsyeG31uvzxq8JmeusSGNOiTJPwECeeT1zGB5eotumPD7dtPFz/CzSzhukaTdrylf1jYPMFc9ZPSU48U7KJroVELZeWqh2wVtnYXIbUE9p+wuegIVXTDVOEhCNnJ/h9Jc4vOoiP8dwjqt7QxAYw0nhZDuqWJasYuboctadeDPvXeW8eg8Z3S51eV1i0LPUjD9Cnfk2wV84W+zVkuNNA0lSYXIdDE6yx6m1iLtyb/X/zmial93diq/OPPA9ek3r9E5nPj7hm/tnM2vR+UiNsWRVb0+znZIzBn5227vWxDfsRvSVU7wMN6rQtJo+mZitlqEiY2CFHFi5kZtsT369Ym9B5/DArAVCPU7wsElkas2DNNRDH7ngKHWy6PiFZgAd6LM0iRYzf72UE09mdb3FL2NcMjRthXGeVE5dbGdZmT1jytgaEPAIiYMJ7DsY1oy65bWy3v/HHGlOiUoMwbrhQAYjS9I4ZO4739HJ67oDYAmGn6undu/lPdeXg+EgrMhsfohwOesPyy3Tz6r9zJ68Kr9yhNSiz9Z+6oqTK92zfgKttJcSXnsM912FVVX/HU3UqCaJM0U6GQczmdg3VSHAUCjul6V9h3Ys0KuYSqpciUYrIOUc/ZGOJC7G/HziMHjzkAdF0dJHTj/PwhuC+jar1r9lhr5ZAXSrFF872yAjkj26T9991mmylNLDsI67swbo4aNm09pk97PAxTZGtNFfoyFaHzbjb9vrFZi6NxZbmD4D/bu604hdWs7/hBKeFLtwEDHcoGMS0YtKFCaJ3oXA263Xsr3jEUXEU0+y7Xt1qUHmNPUBtTXFz9Qac5h3SghZlOvL2B318bHmc9YktGPdMgLzCu5mu8qKGsA7OoLZwJqCnbpVj7MuIgi86vhQHDfQgYFXttbbP2gT7gkGSZi2OQADReF6o46iWHuRoZWOB6b+4U9E2RKvHzDd0t36Q29mFr0FoJoy13q64uxMgQPXPdFgelBK4PJlUVuxDs1wxkZibnt2M84Ui4EVCkgxUNnZRL5r+a4bDVB5rZQcHdO3O/JyHJJlYPOXzH5dRYqsp6aYPFknKEhbMc7ZLKPqEQfK3w/61aqKCIZMSZ315O7uCfzhHDVe775b/WT21aE/FXwQ+MI/Qn47tvbViPxj9mD/pCzEWM9PEbor7JMh6+gNX5hKyYJKdpvrTEhHgFJ0wTrkQS2YUkHOHqp5m9f4C1fnR6Z4YdrbhBTWVsAtaxUi1+nfHzsyxY1C//wF2wCnvmrzEFv0DKc85Di23AyWhrLYORwsMN7d05OTb9pZonrrJpZcF+an7eq7tX1qobEccU7JqW5P6znGPQ8+npchHyD0Yt26iOM10/UTgcFRxdBXTZgLlwgxsMLeT7JJhCauT7ZBpGywfF1xL2Yo+rcWYgNsHtc7J5snjKSOA8F1BY0ExhmOLLLH5o3/WrDIE3dQSLCpgCsEds7Bb7jAzt+9NyUi+tHNED7zjyJyi971lZvr2sECxKvIiMBBK2cMvOx86LBhY1Y1fmDMnmQdcYbgMnJoB6i45egDk09CIQhRW09eOApcjFvCXFJwrtNEBfns4ni71GvnQGkR2vEl3A0vnRJBb5ttUxmLXZ9ilxb2h1tIu7TnPeBSatibodnLGUFxgeizSLV0KfpNhwczk/OqtuHBhhP5X2YcSxGOrCXhgvM73c1VGmcqzOPuR9ZDj7GYYqcNib9AFsjgMz8qAKEhezVCgX9JIQxiq34Zt8z5mG8Lw9zmNtEXFkjR0LHj1SDkoRnkQee3l7cVuSOL2lKuNVrH5jOvNNzcKmDrx9OpUtLgtN+iWND3zdqFQVRUvPOcVGfmIscUTHclXzmo9IiDByPzSDah/xY3yql8OFzFHUeZU6/Nwr6hle+O2NQL4nqwd/VqiR5F/jtfbPVwWCPcNOGU0P1MZzgcY9ppnQwFqT2GLAp72fO38H0Y3cqkMyugpwpQajw1X9MEyl5u4aZTlqSyjYkMWojKfrmU+mwT5BD2N2YAKWCGZgvMo6oIJNtX0CWG1eqPWlhXfxYKSpUGEyLDMxr+j170XyB20hMdvzUavVl1Jibste3iUo4XRdlUrOY4A/otr9QKuHf5d/AsirvlQRzAuQNa8OBJrsn+rs/ciagpWq9Wyn4a5qI0EQTsBG5IDvu78CFSxxenZDwhvPeZvl7TozkS1JhaZR5vrbV7FsUo80TuesKmDUvCDpAGWcJqqvZf1F0xGFoOnM7NNTj4VblVFm1irNk7u1OS1Hgx+eNM7ciV00K4wZbKCyV06FGSUpMk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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j4KCikNq2AJwGTTq1g","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found ~8 µs of fixed overhead per segment from setup and epilogue costs. Next I'll fix this by creating K/V descriptors once over the flattened view, replacing the 32K-element divide with a reciprocal multiply, and rebalancing group boundaries for straddling CTAs.\n\n","signature":"CAQSrwkKEQgSGAI4AUIJbmFycmF0aW9uEgwZsMb7L9gxk59M/CIaDGjjG33jt9FmqeuIuyIwlw1BSletRWajnqMT+ejawtycMQo7qCB/1O8vCsO+yboUeLSA+fSIqmoTxkWylaNMKssIC+Rgody6zbC3e8PU10wp8hn/ih5lnehXgn/obFdekKWdt1M4uu9AwFuufp0+QEqjd+hChjcnvdVS4Hb9a9LXlmrPbW9nAnGJdS5Yse0uJWYhYnIOGi7sfN17ZxdpdByXHuIZUwQIVnHHTCrZjzo+HE51/ofjm+sfSRWcuP44HMjqkE1+WondVNEWp7badyT3qA7zlnvIQKEVpkfm6KdeOI+um8gKUI/p5/Gp1BQMi+Mm6BAkuvGMV74yAR54iXKrikBl5rsEEkue4aWu/S8fUkWIFlijid/UyMb5ngSB+qfjBY86hOSHfct76o+1HGnjBu5iVpG3qUNn/FWHaYdOUmAgMA/O+TkFIvyeGQQ9aHmXUPf4h2lMbiXEfIRoKUhnV9ufQjQEDRbG694qVNv8CIfLqo5IYPdB766LJwy2bZa5YCBEif+W7ib5hjLDD7SY86FSqf8rrCuoaeDIaf9r79ypddEzNG7lhuN1iFZHKcoVQlqFDb0ouuufdfTC/8bf6ot9upOc7NuO2kqFVIHKT+Os+j/CIfL4oEGwWsO0TaU+AQGPh2GykHjkeu+9QoycbWt1RWkKtObw+XzgEZAuJDjXTJrEOiWw1cywu5P/+5S5UUA/byHDeUr48KJUiIEEzBi1XkTcAZ5BANgaIW+SLWybATCuRY01UefiQSBU09DSqPaRdBQ88DBeYM30IEtu8YiYAWasa2ZZnXOQFnUM8fYh93UqMbKKeFkNdGnKWccTuiRmPktE/znzg/kLNh44p8lRdEivT0gqJWSMBwJx33ZqObOgQSzCHd14K3qSYXgHUQrf4LG3x88L0DuWk2Cxhg1l5LdIjfpn9ReXvGd0qOdR/wX3DGhf41FkP2GR+V1v+q3Ev6ci695ld3b2SMeSYmtOrxORpcsdvjy1uaUxqEvMF2lxWKfPr4b47K0G11824XRUansPmzLqe2siwpcEf2p4PpRFOxvmzuVVrv3rCsMnf7G2baTH0PeAAXnUqjPirYZ8lUZGKH/UNX0frCh/T0K+FwK6TqM/ALdMPnDgzjSDU/egqbOCUaLLIMRnCrDbUodOwz7/6HH1Hzdf1X4wcSUARnVFHf+uj60bb/rmjh2FCDffzxLdfCvXTEFCf/T+QZrW+3LG6Rz1qUU7Iq5ocjposMd6Po4VRP/l+4X7TY2H8AJlbxG6IzKAJi0yT8S1m8ABGnddpFSxejAcsXrepDT0Aoaq6Tcejyt4AYUoP0OFItWBRba0gjM+Ds/1cNW/gsMyz1ouQd2oqdFUtJn1NJnIHke1os3G2jy2Bd49oK4ndwYH5QCGIuBGyINsVfY3N9NxBINDEwOjHqT/I7zeVxLZQqLjWgpK+gFe2OksFFf86LnzZeO48tt9v9Az3hx6PiiPwO04yAbFoKztQBPUQ6ttNstGIGcJ64RlO6hLpfgM678nAMQE30YXRUtzgjYDQ5aahAyp8HMeMBgB"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1004,"cache_read_input_tokens":294301,"cache_creation":{"ephemeral_5m_input_tokens":1004,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"13176885-2e59-4bdc-921e-d0e7dcc24cc6","timestamp":"2026-10-18T00:06:28.787Z","request_id":"req_011Cg8j4JouZki57zbKC6Na4","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j4KCikNq2AJwGTTq1g","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XLfKk9K5ZAPu46jNVGe47f","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v7.py').read()\ns = s.replace(\"\"\"    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    shift = Sk - Sq\n    for it in range(0, nkt):\"\"\", \"\"\"    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    shift = Sk - Sq\n    # One descriptor pair over all batches: rows past a batch's Sk belong to masked (causal) keys or are zero-filled.\n    kd = tl.make_tensor_descriptor(K, shape=[NBATCH * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    vd = tl.make_tensor_descriptor(V, shape=[NBATCH * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    for it in range(0, nkt):\"\"\")\ns = s.replace(\"\"\"            kd = tl.make_tensor_descriptor(K + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n            vd = tl.make_tensor_descriptor(V + b.to(tl.int64) * Sk * HKV * D, shape=[Sk, HKV * D],\n                                           strides=[HKV * D, 1], block_shape=[BN, D])\n\"\"\", \"\")\ns = s.replace(\"\"\"            acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, hk * D, lo, mid, hi, qk_scale, qpos, m_init, retry == 0,\n                                                BM, BN, D, WS)\"\"\", \"\"\"            acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, b * Sk, hk * D, lo, mid, hi, qk_scale, qpos, m_init,\n                                                retry == 0, BM, BN, D, WS)\"\"\")\ns = s.replace(\"\"\"def _attn_loop(q, k_desc, v_desc, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\"\"\", \"\"\"def _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\"\"\")\ns = s.replace(\"    k = k_desc.load([lo, kcol])\", \"    k = k_desc.load([krow + lo, kcol])\")\ns = s.replace(\"        kn = k_desc.load([n0 + BN, kcol])\", \"        kn = k_desc.load([krow + n0 + BN, kcol])\")\ns = s.replace(\"        v = v_desc.load([n0, kcol])\", \"        v = v_desc.load([krow + n0, kcol])\")\ns = s.replace(\"\"\"            o = acc / tl.where(valid, l_i, 1.0)[:, None]\"\"\", \"\"\"            o = acc * (1.0 / tl.where(valid, l_i, 1.0))[:, None]\"\"\")\ns = s.replace(\"def _attn_fwd(Q, K, V, OP, LP, Sq, Sk, qk_scale, QT, NB, W, GF, RP, T, JMAX,\", \"def _attn_fwd(Q, K, V, OP, LP, NBATCH, Sq, Sk, qk_scale, QT, NB, W, GF, RP, T, JMAX,\")\ns = s.replace(\"_attn_fwd[(T,)](q, k, v, op, lp, Sq,\", \"_attn_fwd[(T,)](q, k, v, op, lp, B, Sq,\")\nopen('v9.py', 'w').write(s)\nEOF\ngrep -n \"make_tensor_descriptor\\|krow\\|1.0 / tl.where\" v9.py | head; timeout 900 python bench.py v9.py --quick 2>&1 | tail -6","description":"v9: hoisted descriptors and reciprocal epilogue"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1004,"cache_read_input_tokens":294301,"cache_creation":{"ephemeral_5m_input_tokens":1004,"ephemeral_1h_input_tokens":0},"output_tokens":6,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"28350c5f-4576-40be-ae89-5607407b5c4e","timestamp":"2026-10-18T00:06:36.845Z","request_id":"req_011Cg8j4JouZki57zbKC6Na4"}
{"type":"system","subtype":"task_started","task_id":"byg200hys","run_id":"0mvd2fdve-6f383faf","tool_use_id":"toolu_01XLfKk9K5ZAPu46jNVGe47f","description":"v9: hoisted descriptors and reciprocal epilogue","is_backgrounded":false,"task_type":"local_bash","uuid":"85ecf43f-ddec-457d-97c4-e2a124938b35","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XLfKk9K5ZAPu46jNVGe47f","type":"tool_result","content":"17:def _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n25:    k = k_desc.load([krow + lo, kcol])\n28:        kn = k_desc.load([krow + n0 + BN, kcol])\n37:        v = v_desc.load([krow + n0, kcol])\n65:    kd = tl.make_tensor_descriptor(K, shape=[NBATCH * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n66:    vd = tl.make_tensor_descriptor(V, shape=[NBATCH * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n96:            o = acc * (1.0 / tl.where(valid, l_i, 1.0))[:, None]\nALL CORRECT (4.7s)\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 375.8 us  expert 379  speedup 1.008  1463 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 362.0 us  expert 356  speedup 0.983  1519 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 699.6 us  expert 692  speedup 0.989  1572 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 402.5 us  expert 381  speedup 0.947  1366 TFLOPS\nGEOMEAN vs expert: 0.982","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f7c5b2e2-d431-4f89-91a2-b190c9f9135a","timestamp":"2026-10-18T00:06:45.116Z","tool_use_result":{"stdout":"17:def _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n25:    k = k_desc.load([krow + lo, kcol])\n28:        kn = k_desc.load([krow + n0 + BN, kcol])\n37:        v = v_desc.load([krow + n0, kcol])\n65:    kd = tl.make_tensor_descriptor(K, shape=[NBATCH * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n66:    vd = tl.make_tensor_descriptor(V, shape=[NBATCH * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n96:            o = acc * (1.0 / tl.where(valid, l_i, 1.0))[:, None]\nALL CORRECT (4.7s)\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 375.8 us  expert 379  speedup 1.008  1463 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 362.0 us  expert 356  speedup 0.983  1519 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 699.6 us  expert 692  speedup 0.989  1572 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 402.5 us  expert 381  speedup 0.947  1366 TFLOPS\nGEOMEAN vs expert: 0.982","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XLfKk9K5ZAPu46jNVGe47f","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"task_started","task_id":"btkm9wscb","run_id":"0mvd2g0yt-08b83dc5","tool_use_id":"toolu_01Ew9vPt1HWSgnTTJhWWzXpu","description":"Re-check B=2 regression in both orders","is_backgrounded":false,"task_type":"local_bash","uuid":"3700a8ab-c1e0-4529-b0cd-e6d0a4ac7adf","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Ew9vPt1HWSgnTTJhWWzXpu","type":"tool_result","content":"{'B': 2, 'Sq': 256, 'Sk': 65536} 382.0 379.7 ratio B/A 0.9941\ngeomean A 382.0 B 379.7  B/A 0.9941\n{'B': 2, 'Sq': 256, 'Sk': 65536} 377.9 382.0 ratio B/A 1.0108\ngeomean A 377.9 B 382.0  B/A 1.0108","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"35f379d0-0144-48cf-b17e-1acfdf2df120","timestamp":"2026-10-18T00:07:15.701Z","tool_use_result":{"stdout":"{'B': 2, 'Sq': 256, 'Sk': 65536} 382.0 379.7 ratio B/A 0.9941\ngeomean A 382.0 B 379.7  B/A 0.9941\n{'B': 2, 'Sq': 256, 'Sk': 65536} 377.9 382.0 ratio B/A 1.0108\ngeomean A 377.9 B 382.0  B/A 1.0108","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Ew9vPt1HWSgnTTJhWWzXpu","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jBpjBoJVmivJcwKqiR","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_015ft39LYZcZmBQp9AgZKC1T","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v9.py').read()\nTSX = 'tl.inline_asm_elementwise(\"mov.u64 $0, %globaltimer;\", \"=l,r\", [c], dtype=tl.int64, is_pure=False, pack=1)'\ns = s.replace(\"\"\"        while p <= p_hi:\n            b = p // HKV\"\"\", f\"\"\"        while p <= p_hi:\n            ta = {TSX}\n            b = p // HKV\"\"\")\ns = s.replace(\"\"\"            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\"\"\", f\"\"\"            m_init = tl.load(LP + slot * BM + rows, mask=(rows < BM) & retry, other=0.0)\n            tb = {TSX} + (tl.sum(tl.sum(q.to(tl.float32), 0), 0) * 0).to(tl.int64)\"\"\")\ns = s.replace(\"\"\"            m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\"\"\", f\"\"\"            tc = {TSX} + (tl.sum(m_ref, 0) * 0).to(tl.int64)\n            m_hi = tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale)\"\"\")\ns = s.replace(\"\"\"            retry = over\n            p = tl.where(over, p, p + 1)\n\"\"\", f\"\"\"            retry = over\n            p = tl.where(over, p, p + 1)\n            td = {TSX}\n            ns = tl.load(TS + c * 16)\n            tl.store(TS + c * 16 + 1 + ns * 4, ta)\n            tl.store(TS + c * 16 + 2 + ns * 4, tb)\n            tl.store(TS + c * 16 + 3 + ns * 4, tc)\n            tl.store(TS + c * 16 + 4 + ns * 4, td)\n            tl.store(TS + c * 16, ns + 1)\n\"\"\")\ns = s.replace(\"def _attn_fwd(Q, K, V, OP, LP,\", \"def _attn_fwd(Q, K, V, OP, LP, TS,\")\ns = s.replace(\"_attn_fwd[(T,)](q, k, v, op, lp,\", \"TS = torch.zeros((T * 16,), device=q.device, dtype=torch.int64)\\n    _TS.append(TS)\\n    _attn_fwd[(T,)](q, k, v, op, lp, TS,\")\ns = s.replace(\"NUM_SMS = 148\\n\", \"NUM_SMS = 148\\n_TS = []\\n\")\nopen('v9ts2.py', 'w').write(s)\nEOF\nsed -i \"s#mod = load('/workspace/dev/v7ts2.py')#mod = load(sys.argv[1] if len(sys.argv) > 1 else '/workspace/dev/v7ts2.py')#\" tsrun2.py && python tsrun2.py /workspace/dev/v9ts2.py 2>&1 | tail -13","description":"Timeline for v9 segment phases"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":952,"cache_read_input_tokens":303188,"cache_creation":{"ephemeral_5m_input_tokens":952,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"b139d63a-eb20-4ad4-9afb-d00ed4b49511","timestamp":"2026-10-18T00:07:27.035Z","request_id":"req_011Cg8jBpL7zdXcQPeW8hALc"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015ft39LYZcZmBQp9AgZKC1T","type":"tool_result","content":"0 seg0: start 0.3 qload 1.7 loop 342.4 epi 4.1 end 348.5\n1 seg0: start 0.3 qload 1.7 loop 342.4 epi 4.1 end 348.5\n5 seg0: start 0.5 qload 1.5 loop 343.0 epi 4.1 end 349.2\n20 seg0: start 0.6 qload 1.7 loop 344.0 epi 4.0 end 350.3\n40 seg0: start 0.6 qload 1.9 loop 340.9 epi 4.1 end 347.4\n100 seg0: start 0.8 qload 1.8 loop 342.3 epi 4.0 end 348.9\n147 seg0: start 0.7 qload 1.4 loop 343.4 epi 4.0 end 349.6\n16 seg0: start 0.3 qload 1.8 loop 212.5 epi 4.2 end 218.7 | seg1: start 219.5 qload 2.2 loop 132.5 epi 3.9 end 358.1\n17 seg0: start 0.3 qload 1.7 loop 213.3 epi 4.1 end 219.3 | seg1: start 220.1 qload 2.5 loop 131.6 epi 3.9 end 358.1\n18 seg0: start 0.7 qload 1.3 loop 214.0 epi 4.2 end 220.2 | seg1: start 220.9 qload 2.2 loop 131.1 epi 3.9 end 358.2\n19 seg0: start 0.7 qload 1.4 loop 214.7 epi 4.1 end 220.9 | seg1: start 221.7 qload 2.2 loop 130.4 epi 3.9 end 358.2\n36 seg0: start 0.8 qload 1.7 loop 89.0 epi 3.9 end 95.4 | seg1: start 96.3 qload 2.2 loop 256.7 epi 3.8 end 358.9\n37 seg0: start 0.8 qload 1.6 loop 89.8 epi 4.0 end 96.2 | seg1: start 97.1 qload 2.1 loop 256.0 epi 3.8 end 359.0","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1871acf5-0bf7-4c11-8be3-d5ab58ba5484","timestamp":"2026-10-18T00:07:32.620Z","tool_use_result":{"stdout":"0 seg0: start 0.3 qload 1.7 loop 342.4 epi 4.1 end 348.5\n1 seg0: start 0.3 qload 1.7 loop 342.4 epi 4.1 end 348.5\n5 seg0: start 0.5 qload 1.5 loop 343.0 epi 4.1 end 349.2\n20 seg0: start 0.6 qload 1.7 loop 344.0 epi 4.0 end 350.3\n40 seg0: start 0.6 qload 1.9 loop 340.9 epi 4.1 end 347.4\n100 seg0: start 0.8 qload 1.8 loop 342.3 epi 4.0 end 348.9\n147 seg0: start 0.7 qload 1.4 loop 343.4 epi 4.0 end 349.6\n16 seg0: start 0.3 qload 1.8 loop 212.5 epi 4.2 end 218.7 | seg1: start 219.5 qload 2.2 loop 132.5 epi 3.9 end 358.1\n17 seg0: start 0.3 qload 1.7 loop 213.3 epi 4.1 end 219.3 | seg1: start 220.1 qload 2.5 loop 131.6 epi 3.9 end 358.1\n18 seg0: start 0.7 qload 1.3 loop 214.0 epi 4.2 end 220.2 | seg1: start 220.9 qload 2.2 loop 131.1 epi 3.9 end 358.2\n19 seg0: start 0.7 qload 1.4 loop 214.7 epi 4.1 end 220.9 | seg1: start 221.7 qload 2.2 loop 130.4 epi 3.9 end 358.2\n36 seg0: start 0.8 qload 1.7 loop 89.0 epi 3.9 end 95.4 | seg1: start 96.3 qload 2.2 loop 256.7 epi 3.8 end 358.9\n37 seg0: start 0.8 qload 1.6 loop 89.8 epi 4.0 end 96.2 | seg1: start 97.1 qload 2.1 loop 256.0 epi 3.8 end 359.0","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015ft39LYZcZmBQp9AgZKC1T","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":1743,"estimated_tokens_delta":736,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"fcda0202-7b5b-483e-8f85-28d995d20cfc"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jD56uH9mrGWUFd4jr8","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"qload dropped from 3.6 to 1.7 us thanks to descriptor hoisting, but the epilogue is still eating about 4 us, and the 2-segment CTAs finish roughly 9 us behind the 1-segment ones. The epilogue cost covers waiting on the last MMA, the TMEM load, normalization, the 128KB store, LSE store, the reduction, and the debug barrier -- I'm considering storing bf16 partials instead to cut that cost down.\n\nSwitching to bf16 would halve store bytes but also affects the combine step since it reads bf16, though the rounding error should stay well within tolerance. I'm now questioning whether the store is really the bottleneck versus the TMEM load and address computation for 128 elements per thread, and I'm weighing a TMA store instead -- but that would require a 128KB fp32 smem buffer, which doesn't fit alongside existing usage, and even halving to 64KB with bf16 still pushes smem over budget.\n\nI should just test bf16 partials directly and measure the epilogue timing, while also checking the prologue's conditional load used only on retry. More importantly, I want to cut down the number of segments using a cost-aware partition with virtual gaps, since each extra segment costs roughly 9us -- I'll parameterize the overhead and sweep a few values to find the right balance for how partial CTAs split their q-tiles.\n\nI need to solve for the full group's range by equalizing per-CTA cost between partial and full groups, then setting up the total equation: giving the partial group weight RP versus QT for full groups, its cost works out to (QT/RP)×range plus overhead terms, and I can equate that to a full group's range to solve for R_f in terms of the total line length and overhead.\n\nFor implementation, I'm defining a numerator term combining the line length, group count, and overhead, so the starting virtual coordinate for each group is a simple proportional division of that numerator, checking that it reduces correctly to the even-split case when there's no partial remainder.\n\nI then verify the partial group's size stays positive, which requires the remainder-weighted line length to exceed the overhead cost of the uneven groups — if that fails for small inputs, I should just disable the partial group entirely rather than risk a degenerate tiny segment.\n\nFor the lookup function itself, I derive a closed-form inverse mapping from a virtual position back to its group index, clamped to the final group, and then work out how the virtual timeline should be laid out across heads with gaps after each one except the last — though I realize the partial group actually falls inside that last head's range, which needs more thought.\n\nChecking for overflow: given the work sizes involved (block count × 8 × chunk size / 64), the products stay well within int32 bounds, so I don't need wider types here.\n\nNow I'm figuring out per-CTA start/end virtual bounds and mapping those back to which physical head and offset they correspond to.\n\nWorking through the edge case where the last virtual row lands in the overhead gap between heads rather than inside a valid block range — need to make sure lo/hi get clipped to empty rather than producing bogus coordinates when that happens.\n\nFor bounding the max group count per head, I derive JMAX from NB and the scale factor, accounting for the one partial group that can arise at head boundaries. I also note that the simulation check needs to be adapted to reflect this updated indexing logic.\n\nI'll move forward with v10, making OVH a runtime kernel argument and having the planning stage compute the derived quantities, then simulate it, verify correctness, and tune OVH.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2028,"cache_read_input_tokens":304140,"cache_creation":{"ephemeral_5m_input_tokens":2028,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"2ee514e2-9f2d-4476-8c06-48fd6158647a","timestamp":"2026-10-18T00:08:04.901Z","request_id":"req_011Cg8jD4j5wCdgnMbnXJhaf","thinking_duration_ms":30329,"thinking_display":"summar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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jD56uH9mrGWUFd4jr8","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Hoisting the descriptors cut setup time from 3.6 to 1.7 µs, but two-segment CTAs still lag single-segment ones by ~9 µs (about 11 blocks of work). I'll now build v10 with a cost-aware partition that charges head boundaries as virtual overhead blocks, so straddling CTAs get proportionally less real work.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2028,"cache_read_input_tokens":304140,"cache_creation":{"ephemeral_5m_input_tokens":2028,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"5b7cbd44-fe59-4e5b-8f83-f8d7637df921","timestamp":"2026-10-18T00:08:04.904Z","request_id":"req_011Cg8jD4j5wCdgnMbnXJhaf","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jD56uH9mrGWUFd4jr8","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_014VdVKUJxbXBxJb4ZLfAGcf","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('v9.py').read()\nold = s[s.index(\"    c = tl.program_id(0)\\n    full = c < GF * QT\"):s.index(\"    rows = tl.arange(0, BM)\\n    rd = tl.arange(0, D)\\n    shift = Sk - Sq\")]\nnew = \"\"\"    c = tl.program_id(0)\n    full = c < GF * QT\n    g = tl.where(full, c // QT, GF)\n    kt0 = tl.where(full, c % QT, c - GF * QT)\n    nkt = tl.where(full, 1, QT // tl.maximum(RP, 1))\n    kstep = tl.where(full, QT, RP)\n    # Virtual line: head p's blocks sit at [p * HS, p * HS + NB), HS = NB + OVH; the OVH-block gaps charge a group for\n    # the extra prologue/epilogue of each head it spans. Group g owns [(g * NUM) // T, ((g + 1) * NUM) // T).\n    HS = NB + OVH\n    v0 = (g * NUM) // T\n    v1 = tl.where(g + 1 > GF, VL, ((g + 1) * NUM) // T)\n\"\"\"\ns = s.replace(old, new)\ns = s.replace(\"\"\"        p_lo = w0 // NB\n        p_hi = (w1 - 1) // NB\"\"\", \"\"\"        p_lo = v0 // HS\n        p_lo = tl.where(v0 - p_lo * HS >= NB, p_lo + 1, p_lo)\n        p_hi = (v1 - 1) // HS\"\"\")\ns = s.replace(\"\"\"            lo = tl.maximum(w0 - p * NB, 0) * BN\n            hi = tl.minimum(w1 - p * NB, NB) * BN\"\"\", \"\"\"            lo = tl.maximum(v0 - p * HS, 0) * BN\n            hi = tl.minimum(v1 - p * HS, NB) * BN\"\"\")\ns = s.replace(\"\"\"            gf = ((p * NB + 1) * T - 1) // (W * QT)\n            slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\"\"\", \"\"\"            gf = tl.minimum(((p * HS + 1) * T - 1) // NUM, GF)\n            slot = ((p * QT + kt) * JMAX + (g - gf)).to(tl.int64)\"\"\")\ns = s.replace(\"def _attn_fwd(Q, K, V, OP, LP, NBATCH, Sq, Sk, qk_scale, QT, NB, W, GF, RP, T, JMAX,\",\n              \"def _attn_fwd(Q, K, V, OP, LP, NBATCH, Sq, Sk, qk_scale, QT, NB, OVH, VL, NUM, GF, RP, T, JMAX,\")\n# combine\ns = s.replace(\"def _combine(OP, LP, O, Sq, QT, NB, W, T, JMAX,\", \"def _combine(OP, LP, O, Sq, QT, NB, OVH, NUM, GF, T, JMAX,\")\ns = s.replace(\"\"\"    gf = ((p * NB + 1) * T - 1) // (W * QT)\n    gl = (((p + 1) * NB) * T - 1) // (W * QT)\"\"\", \"\"\"    HS = NB + OVH\n    gf = tl.minimum(((p * HS + 1) * T - 1) // NUM, GF)\n    gl = tl.minimum(((p * HS + NB) * T - 1) // NUM, GF)\"\"\")\nold_plan = s[s.index(\"def _plan(\"):s.index(\"def kernel_fn\")]\nnew_plan = '''def _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH):\n    QT = triton.cdiv(Sq, BM // (HQ // HKV))\n    NB = triton.cdiv(Sk, BN)\n    P = B * HKV\n    W = P * NB\n    VL = P * (NB + OVH) - OVH\n    GF = max(1, NUM_SMS // QT)\n    RP = 0\n    rem = NUM_SMS - GF * QT\n    if rem > 0:\n        for d in range(1, rem + 1):\n            if QT % d == 0:\n                RP = d\n    if W < 4 * GF:              # short contexts: keep at least ~4 blocks per group\n        GF = max(1, W // 4)\n        RP = 0\n    T = GF * QT + RP\n    NUM = VL * QT + (QT - RP) * OVH if RP else VL * QT\n    if RP and (VL * RP - GF * (QT - RP) * OVH) < 4 * T:     # partial group would get (almost) nothing\n        RP = 0\n        T = GF * QT\n        NUM = VL * QT\n    JMAX = (NB * T) // NUM + 3\n    return QT, NB, VL, NUM, GF, RP, T, JMAX\n\n\n'''\ns = s.replace(old_plan, new_plan)\nold_fn = s[s.index(\"def kernel_fn\"):]\nnew_fn = '''def kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    BM, BN, OVH = 128, 64, OVH_BLOCKS\n    QT, NB, VL, NUM, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH)\n    P = B * HKV\n    op = torch.empty((P * QT * JMAX * BM * D,), device=q.device, dtype=torch.float32)\n    lp = torch.empty((P * QT * JMAX * BM,), device=q.device, dtype=torch.float32)\n    _attn_fwd[(T,)](q, k, v, op, lp, B, Sq, Sk, D ** -0.5 * 1.4426950408889634, QT, NB, OVH, VL, NUM, GF, RP, T, JMAX,\n                    HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=8, num_stages=2)\n    R = 16\n    _combine[(P * QT * (BM // R),)](op, lp, out, Sq, QT, NB, OVH, NUM, GF, T, JMAX, HQ=HQ, HKV=HKV, D=D, BM=BM, R=R,\n                                    JP=8, num_warps=4)\n'''\ns = s.replace(old_fn, new_fn)\ns = s.replace(\"NUM_SMS = 148\\n\", \"NUM_SMS = 148\\nOVH_BLOCKS = int(__import__('os').environ.get('OVH', '12'))\\n\")\nopen('v10.py', 'w').write(s)\nEOF\ngrep -n \"w0\\|w1\\|W \\* QT\\|, W,\" v10.py | head","description":"Build v10 with cost-aware virtual-gap partition"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2028,"cache_read_input_tokens":304140,"cache_creation":{"ephemeral_5m_input_tokens":2028,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1dcfb1b8-3b49-449a-b4c0-ea04ec817984","timestamp":"2026-10-18T00:08:19.094Z","request_id":"req_011Cg8jD4j5wCdgnMbnXJhaf"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014VdVKUJxbXBxJb4ZLfAGcf","type":"tool_result","content":"(Bash completed with no output)","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"7b893cf1-96f7-4a31-9e0b-73426c3a7d22","timestamp":"2026-10-18T00:08:19.154Z","tool_use_result":{"stdout":"","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_014VdVKUJxbXBxJb4ZLfAGcf","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jGW3BSb9Yn8ZcNDGmM","type":"message","role":"assistant","content":[{"type":"text","text":"Now update the simulator to mirror v10's logic and check invariants across many shapes and OVH values:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5577,"cache_read_input_tokens":306168,"cache_creation":{"ephemeral_5m_input_tokens":5577,"ephemeral_1h_input_tokens":0},"output_tokens":53,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"c9a69750-525b-4ae7-8259-885ea99acb22","timestamp":"2026-10-18T00:08:21.626Z","request_id":"req_011Cg8jGVerk3gu5rDgPACkf"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jGW3BSb9Yn8ZcNDGmM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01R3WRhyqcZaQKN8cUTky7zZ","name":"Bash","input":{"command":"cat > /workspace/dev/simplan2.py << 'EOF'\nimport sys, importlib.util, random\nspec = importlib.util.spec_from_file_location('m', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nHQ, HKV, BM, BN = 16, 8, 128, 64\ndef sim(B, Sq, Sk, OVH, verbose=False):\n    QT, NB, VL, NUM, GF, RP, T, JMAX = m._plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH)\n    HS = NB + OVH\n    writes = {}\n    shift = Sk - Sq\n    work = {}\n    for c in range(T):\n        full = c < GF * QT\n        g = c // QT if full else GF\n        kt0 = c % QT if full else c - GF * QT\n        nkt = 1 if full else QT // max(RP, 1)\n        kstep = QT if full else RP\n        v0 = (g * NUM) // T\n        v1 = VL if g + 1 > GF else ((g + 1) * NUM) // T\n        cost = 0\n        for it in range(nkt):\n            kt = kt0 + it * kstep\n            q_last = min(kt * 64 + 64, Sq) - 1\n            kv_end = q_last + shift + 1\n            p_lo = v0 // HS\n            if v0 - p_lo * HS >= NB: p_lo += 1\n            p_hi = (v1 - 1) // HS\n            for p in range(p_lo, p_hi + 1):\n                lo = max(v0 - p * HS, 0) * BN\n                hi = min(min(v1 - p * HS, NB) * BN, kv_end)\n                assert max(v0 - p * HS, 0) < min(v1 - p * HS, NB), ('empty real range', B, Sq, Sk, OVH, c, p)\n                gf = min(((p * HS + 1) * T - 1) // NUM, GF)\n                j = g - gf\n                assert 0 <= j < JMAX, ('slot', B, Sq, Sk, c, p, j, JMAX)\n                key = (p, kt, j)\n                assert key not in writes, ('dup', key)\n                writes[key] = (lo, hi)\n                cost += max(hi - lo, 0) // BN + OVH\n        work[c] = cost\n    for p in range(B * HKV):\n        for kt in range(QT):\n            gf = min(((p * HS + 1) * T - 1) // NUM, GF)\n            gl = min(((p * HS + NB) * T - 1) // NUM, GF)\n            nseg = gl - gf + 1\n            q_last = min(kt * 64 + 64, Sq) - 1\n            kv_end = q_last + shift + 1\n            segs = []\n            for j in range(nseg):\n                assert (p, kt, j) in writes, ('missing', B, Sq, Sk, OVH, p, kt, j, nseg)\n                segs.append(writes[(p, kt, j)])\n            for key in writes:\n                if key[0] == p and key[1] == kt:\n                    assert key[2] < nseg, ('extra', key, nseg)\n            pos = 0\n            for lo, hi in segs:\n                if hi <= lo: continue\n                assert lo == pos, ('gap', B, Sq, Sk, p, kt, segs)\n                pos = hi\n            assert pos == kv_end, ('cover', B, Sq, Sk, p, kt, pos, kv_end, segs)\n    if verbose:\n        cs = sorted(work.values())\n        print((B, Sq, Sk), 'OVH', OVH, 'QT,GF,RP,T,JMAX', (QT, GF, RP, T, JMAX), 'cost min/max', cs[0], cs[-1])\nshapes = [(1,256,131072),(1,512,65536),(1,512,131072),(2,256,65536),(1,1,1),(1,7,13),(2,65,300),(3,100,1000),(1,129,129),\n          (1,1,5000),(2,333,4097),(1,1024,32768),(1,200,200),(4,16,20000),(1,320,65536),(1,384,40000),(1,768,50000),\n          (3,448,33333),(1,2048,65536),(8,512,32768),(1,9600,9600),(1,64,64),(2,1,1),(1,4096,4096)]\nrandom.seed(0)\nfor _ in range(400):\n    Sk = random.randint(1, 70000); Sq = random.randint(1, min(Sk, 3000)); B = random.randint(1, 4)\n    shapes.append((B, Sq, Sk))\nfor OVH in [0, 4, 12, 20]:\n    for i, s in enumerate(shapes):\n        sim(*s, OVH, verbose=(i < 4 and OVH in (0, 12)))\nprint('all plans OK')\nEOF\npython /workspace/dev/simplan2.py /workspace/dev/v10.py","description":"Simulate v10 partition invariants and balance"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5577,"cache_read_input_tokens":306168,"cache_creation":{"ephemeral_5m_input_tokens":5577,"ephemeral_1h_input_tokens":0},"output_tokens":53,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"9441b652-d937-444c-819e-649fdededc05","timestamp":"2026-10-18T00:08:32.966Z","request_id":"req_011Cg8jGVerk3gu5rDgPACkf"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01R3WRhyqcZaQKN8cUTky7zZ","type":"tool_result","content":"(1, 256, 131072) OVH 0 QT,GF,RP,T,JMAX (4, 37, 0, 148, 7) cost min/max 440 443\n(1, 512, 65536) OVH 0 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 434 443\n(1, 512, 131072) OVH 0 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 876 886\n(2, 256, 65536) OVH 0 QT,GF,RP,T,JMAX (4, 37, 0, 148, 5) cost min/max 440 443\n(1, 256, 131072) OVH 12 QT,GF,RP,T,JMAX (4, 37, 0, 148, 7) cost min/max 454 458\n(1, 512, 65536) OVH 12 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 450 460\n(1, 512, 131072) OVH 12 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 894 903\n(2, 256, 65536) OVH 12 QT,GF,RP,T,JMAX (4, 37, 0, 148, 5) cost min/max 456 460\nall plans OK","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0700737f-cd0c-4e5f-9381-b41477205e17","timestamp":"2026-10-18T00:08:55.816Z","tool_use_result":{"stdout":"(1, 256, 131072) OVH 0 QT,GF,RP,T,JMAX (4, 37, 0, 148, 7) cost min/max 440 443\n(1, 512, 65536) OVH 0 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 434 443\n(1, 512, 131072) OVH 0 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 876 886\n(2, 256, 65536) OVH 0 QT,GF,RP,T,JMAX (4, 37, 0, 148, 5) cost min/max 440 443\n(1, 256, 131072) OVH 12 QT,GF,RP,T,JMAX (4, 37, 0, 148, 7) cost min/max 454 458\n(1, 512, 65536) OVH 12 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 450 460\n(1, 512, 131072) OVH 12 QT,GF,RP,T,JMAX (8, 18, 4, 148, 5) cost min/max 894 903\n(2, 256, 65536) OVH 12 QT,GF,RP,T,JMAX (4, 37, 0, 148, 5) cost min/max 456 460\nall plans OK","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01R3WRhyqcZaQKN8cUTky7zZ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01WaEiWasRo2dSo7HuDzid1r","type":"tool_result","content":"outlier {'B': 1, 'Sq': 256, 'Sk': 131072} OK\nALL CORRECT (15.4s)\n== OVH=0\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 375.8 us  expert 379  speedup 1.008  1463 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.5 us  expert 356  speedup 0.985  1521 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 700.4 us  expert 692  speedup 0.988  1570 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 402.5 us  expert 381  speedup 0.947  1366 TFLOPS\nGEOMEAN vs expert: 0.982\n== OVH=8\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 372.7 us  expert 379  speedup 1.017  1475 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.1 us  expert 356  speedup 0.986  1523 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 694.9 us  expert 692  speedup 0.996  1582 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 388.1 us  expert 381  speedup 0.982  1417 TFLOPS\nGEOMEAN vs expert: 0.995\n== OVH=12\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 371.7 us  expert 379  speedup 1.020  1479 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.6 us  expert 356  speedup 0.984  1520 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 709.6 us  expert 692  speedup 0.975  1549 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 388.1 us  expert 381  speedup 0.982  1417 TFLOPS\nGEOMEAN vs expert: 0.990\n== OVH=16\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 372.7 us  expert 379  speedup 1.017  1475 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 363.2 us  expert 356  speedup 0.980  1514 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 695.3 us  expert 692  speedup 0.995  1581 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 392.1 us  expert 381  speedup 0.972  1402 TFLOPS\nGEOMEAN vs expert: 0.991","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"412a9499-7667-402f-9d41-959ccd4bdd6e","timestamp":"2026-10-18T00:10:02.447Z","tool_use_result":{"stdout":"outlier {'B': 1, 'Sq': 256, 'Sk': 131072} OK\nALL CORRECT (15.4s)\n== OVH=0\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 375.8 us  expert 379  speedup 1.008  1463 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.5 us  expert 356  speedup 0.985  1521 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 700.4 us  expert 692  speedup 0.988  1570 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 402.5 us  expert 381  speedup 0.947  1366 TFLOPS\nGEOMEAN vs expert: 0.982\n== OVH=8\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 372.7 us  expert 379  speedup 1.017  1475 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.1 us  expert 356  speedup 0.986  1523 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 694.9 us  expert 692  speedup 0.996  1582 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 388.1 us  expert 381  speedup 0.982  1417 TFLOPS\nGEOMEAN vs expert: 0.995\n== OVH=12\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 371.7 us  expert 379  speedup 1.020  1479 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.6 us  expert 356  speedup 0.984  1520 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 709.6 us  expert 692  speedup 0.975  1549 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 388.1 us  expert 381  speedup 0.982  1417 TFLOPS\nGEOMEAN vs expert: 0.990\n== OVH=16\n{'B': 1, 'Sq': 256, 'Sk': 131072}: 372.7 us  expert 379  speedup 1.017  1475 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 363.2 us  expert 356  speedup 0.980  1514 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 695.3 us  expert 692  speedup 0.995  1581 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 392.1 us  expert 381  speedup 0.972  1402 TFLOPS\nGEOMEAN vs expert: 0.991","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01WaEiWasRo2dSo7HuDzid1r","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Q9ByT6hyt3Ameygw2F7GAV","type":"tool_result","content":"{'B': 2, 'Sq': 256, 'Sk': 65536} full 374.8 main 367.6 combine 17.4 full 375.8\n{'B': 2, 'Sq': 256, 'Sk': 65536} full 385.8 main 386.1 combine 17.4 full 396.3\n{'B': 1, 'Sq': 256, 'Sk': 131072} full 392.0 main 390.2 combine 15.4 full 409.6\n{'B': 1, 'Sq': 256, 'Sk': 131072} full 408.6 main 402.5 combine 15.4 full 416.8","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"d0ee8b5d-ce08-41c0-9561-294ec2c154ab","timestamp":"2026-10-18T00:11:21.278Z","tool_use_result":{"stdout":"{'B': 2, 'Sq': 256, 'Sk': 65536} full 374.8 main 367.6 combine 17.4 full 375.8\n{'B': 2, 'Sq': 256, 'Sk': 65536} full 385.8 main 386.1 combine 17.4 full 396.3\n{'B': 1, 'Sq': 256, 'Sk': 131072} full 392.0 main 390.2 combine 15.4 full 409.6\n{'B': 1, 'Sq': 256, 'Sk': 131072} full 408.6 main 402.5 combine 15.4 full 416.8","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Q9ByT6hyt3Ameygw2F7GAV","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":995,"estimated_tokens_delta":1,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"22da9324-ad8a-4f03-99fb-96ba30bcdcae"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":1449,"estimated_tokens_delta":454,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"bb6173c3-8917-4694-a106-ee6b6f39e279"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jXTakxFwzfzqEqvyoN","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The GPU itself is cool and running at low power, suggesting the variance isn't thermal. More likely it's clock ramping — the GPU idles at low frequency and ramps up when work arrives, so a short kernel timed right after idle might not catch the clock at full speed yet.\n\nThe flush memset between runs keeps the clock somewhat active, but the CPU-heavy reference computation with GPU idle gaps lets it drop, explaining noisy early-run timings; warmup runs help mitigate this. Since the grader uses interleaved A/B timing with L2 flushes, both kernels face similar conditions, so this noise should wash out in comparison.\n\nCurrent performance sits around 0.99x of the expert baseline, still noisy, and I have about 50 minutes left to find more gains. I'm prioritizing remaining optimization ideas by expected gain: shrinking the epilogue cost per segment (worth maybe 0.5-1%), speeding up the combine kernel with bf16 partials (~0.5%), trimming the Q load prologue, and reconsidering masked iterations which seem to add negative value.\n\nLooking at the main loop timing, 342 us across 443 blocks works out to about 1569 cycles per block, versus a per-SM floor near 1420 at low occupancy. I'm suspecting the remaining overhead is bandwidth contention in the L2 cache, since each CTA group loads overlapping K tiles — though restructuring which queries/heads a CTA handles doesn't help since different KV heads require separate K/V loads, so I think I'm bumping up against a genuine bandwidth limit. I'm also considering whether the contention stems from something other than the main K/V traffic, like partial writes or Q loads, but those are too small to matter.\n\nK/V streams from HBM at roughly 1.07GB over 350us, which is about 3 TB/s, with each byte passing through L2 to four SMs — I can't pin down the exact L2 hit rate without a profiler, but the WRAP=2048 experiment showing an 8% speedup suggests HBM misses are a real factor. Since each KV block is only needed by one group of query tiles, there's no cross-group reuse to exploit, so reading once is already the minimum traffic possible.\n\nI'm probably near the ceiling of this design, so I'll shift focus to epilogue and combine-stage improvements using bf16 partials before final tuning. Storing the normalized output as bf16 instead of fp32 halves the epilogue write size and the combine-stage read traffic, so I want to work through the precision implications of using bf16 for those partial outputs.\n\nThe error per segment scales with the relative rounding error in bf16 times the magnitude of that segment's weighted output, but since the tolerance is based on the overall weighted magnitude across all keys, a segment with disproportionately large values but small weight could still contribute an outsized error relative to its share of the total weight.\n\nWorking through the bound, I find the total error sums to at most 2^-9 × mag, which is about 0.002 × mag — comfortably under the 0.005 × mag tolerance. Adding the final bf16 rounding of the output itself stays within bounds too, so I still need to account for the pre-existing bf16 rounding error baked into the weights P themselves.\n\nStacking that P-rounding error with the new bf16 partial errors gets me to roughly 0.0039 × mag, which clears the 0.005 threshold but with less margin than I'd like — though since these errors are random rather than worst-case aligned, it should hold up fine in practice. Still, given the tightness, I'm wondering if a ~1% gain is worth the risk, so I think I should just run an A/B test to measure the actual benefit first.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1052,"cache_read_input_tokens":318451,"cache_creation":{"ephemeral_5m_input_tokens":1052,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"f7aafefa-8db1-4b8a-884d-28b0e471b60a","timestamp":"2026-10-18T00:12:08.458Z","request_id":"req_011Cg8jXT8U9i2o12LLuWCER","thinking_duration_ms":24161,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jcWup7tcnBqymvVL9R","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Using bf16 partials pushes the worst-case error-to-tolerance ratio from 0.34 up to 0.50 at the 128K outlier, which still fits within a 2x margin but is getting uncomfortably close to 1 if hidden distributions are harsher. Weighing that risk against a modest 0.65% speed gain, which only translates to a tiny reward bump via log2(speedup).\n\nGiven even a 1% failure chance costs more than that gain, I'm sticking with fp32 partials and skipping this variant.\n\nNow I'm hunting for other low-risk wins — looking at the main kernel's overhead sources (first segment load/epilogue, combine step, kernel launch overhead) and digging into whether the load partition is stalling on buffer availability between QK and K loads across iterations, since the main loop's per-iteration cost is still above the theoretical floor.\n\nTracing the buffer dependency chain, loads have only about 1.2-1.5 us of lead time before they're needed, which could be too tight if HBM miss latency under heavy load runs closer to 2 us — meaning the pipeline likely stalls waiting on cache misses, which would explain why forcing all-hit conditions showed an 8% speedup.\n\nWith smem too tight to add another prefetch stage, I'm considering whether a CTA could explicitly prefetch blocks several iterations ahead into L2 using a dedicated prefetch instruction, so the data is already resident by the time the actual TMA load fires — checking whether Triton exposes that kind of prefetch primitive.\n\nMaybe only one CTA per group needs to issue prefetches since L2 hits benefit the rest, though redundant requests across all 4 would just get merged anyway. With a prefetch distance of 4-8 blocks ahead, I estimate the in-flight L2 footprint across 37 groups at around 19MB, which is well within capacity, and I still need to figure out where in the warp-specialized loop to issue the inline asm given it needs a pointer tensor input to work elementwise.\n\nWorking out the pointer address layout for prefetching the key rows...\n\nI'm also considering edge cases where prefetch addresses could exceed tensor bounds near the last block, and whether clamping the key index is needed to stay safe since I'm unsure if out-of-bounds prefetch addresses fault.\n\nI'm wondering whether the WS partitioner can correctly schedule an inline asm instruction with side effects within the loop — worth testing. If it works and misses were indeed the bottleneck, I could see gains up to ~8%, so with about 45 minutes left it's worth a quick implementation attempt.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jcWup7tcnBqymvVL9R","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"bf16 partials aren't worth it given the risk increase for only +0.65% speed, so I'll stick with fp32. Instead, I'll pursue the L2-resident approach, adding explicit `prefetch.global.L2` via inline PTX to prefetch K/V blocks further ahead and outrun HBM misses.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1548,"cache_read_input_tokens":322758,"cache_creation":{"ephemeral_5m_input_tokens":1548,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e047b0a6-3f2c-4dea-ac4a-9fa2d32f398f","timestamp":"2026-10-18T00:13:18.952Z","request_id":"req_011Cg8jcWYzjJ8BxB1o4RsA7","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jcWup7tcnBqymvVL9R","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01KMn56DaVnf1Jik68SFTYts","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('/workspace/solution.py').read()\ns = s.replace(\"\"\"def _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\"\"\", \"\"\"def _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh, K, V, rmax,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr, HKV: tl.constexpr,\n               PD: tl.constexpr):\"\"\")\ns = s.replace(\"\"\"        kn = k_desc.load([krow + n0 + BN, kcol])\"\"\", \"\"\"        if PD > 0:\n            pr = tl.minimum(krow + n0 + PD * BN + tl.arange(0, BN), rmax)\n            poff = (pr[:, None].to(tl.int64) * HKV * D + kcol + tl.arange(0, D // 64)[None, :] * 64)\n            tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]; // $0\", \"=r,l\", [K + poff], dtype=tl.int32,\n                                      is_pure=False, pack=1)\n            tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]; // $0\", \"=r,l\", [V + poff], dtype=tl.int32,\n                                      is_pure=False, pack=1)\n        kn = k_desc.load([krow + n0 + BN, kcol])\"\"\")\ns = s.replace(\"\"\"            acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, b * Sk, hk * D, lo, mid, hi, qk_scale, qpos, m_init,\n                                                retry == 0, BM, BN, D, WS)\"\"\", \"\"\"            acc, l_i, m_max, m_ref = _attn_loop(q, kd, vd, b * Sk, hk * D, lo, mid, hi, qk_scale, qpos, m_init,\n                                                retry == 0, K, V, NBATCH * Sk - 1, BM, BN, D, WS, HKV, PD)\"\"\")\ns = s.replace(\"\"\"              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    # Work = P\"\"\", \"\"\"              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr, PD: tl.constexpr):\n    # Work = P\"\"\")\ns = s.replace(\"HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, num_warps=8, num_stages=2)\", \"HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, PD=int(__import__('os').environ.get('PD', '4')), num_warps=8, num_stages=2)\")\nopen('v12.py', 'w').write(s)\nEOF\ngrep -n \"PD\" v12.py | head; PD=4 python dump.py v12.py 2>&1 | grep -v \"^ *%\\|^ *}\\|^ *\\^\\|loc(\" | grep -v \"^module\\|tt.func\\|scf\\.\\|tt.reduce\" | head -3; grep -c \"prefetch.global.L2\" /tmp/k.ptx; grep -o \"requestedRegisters = [^}]*\" /tmp/k.ttgir","description":"Build v12 with L2 prefetch of future K/V blocks"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1548,"cache_read_input_tokens":322758,"cache_creation":{"ephemeral_5m_input_tokens":1548,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"cc4f9314-3153-4e39-b5b0-bc8f0ba8abc4","timestamp":"2026-10-18T00:13:26.553Z","request_id":"req_011Cg8jcWYzjJ8BxB1o4RsA7"}
{"type":"system","subtype":"task_started","task_id":"bcy4n95bl","run_id":"0mvd2o60b-d7e4a00a","tool_use_id":"toolu_01KMn56DaVnf1Jik68SFTYts","description":"Build v12 with L2 prefetch of future K/V blocks","is_backgrounded":false,"task_type":"local_bash","uuid":"48a20199-4761-4ea4-a109-b39c5e9a092f","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bcy4n95bl","run_id":"0mvd2o60b-d7e4a00a","tool_use_id":"toolu_01KMn56DaVnf1Jik68SFTYts","status":"completed","output_file":"","summary":"Build v12 with L2 prefetch of future K/V blocks","uuid":"3fc33dca-d137-4293-9d37-9fda111346a5","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01KMn56DaVnf1Jik68SFTYts","type":"tool_result","content":"20:               PD: tl.constexpr):\n30:        if PD > 0:\n31:            pr = tl.minimum(krow + n0 + PD * BN + tl.arange(0, BN), rmax)\n55:              WS: tl.constexpr, PD: tl.constexpr):\n105:                                                retry == 0, K, V, NBATCH * Sk - 1, BM, BN, D, WS, HKV, PD)\n203:                    HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, PD=int(__import__('os').environ.get('PD', '4')), num_warps=8, num_stages=2)\nshared 197788 tmem 512\n8\nrequestedRegisters = array<i32: 24, 88>","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"22385076-4606-418d-9c16-9caa89df2749","timestamp":"2026-10-18T00:13:32.360Z","tool_use_result":{"stdout":"20:               PD: tl.constexpr):\n30:        if PD > 0:\n31:            pr = tl.minimum(krow + n0 + PD * BN + tl.arange(0, BN), rmax)\n55:              WS: tl.constexpr, PD: tl.constexpr):\n105:                                                retry == 0, K, V, NBATCH * Sk - 1, BM, BN, D, WS, HKV, PD)\n203:                    HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, WS=True, PD=int(__import__('os').environ.get('PD', '4')), num_warps=8, num_stages=2)\nshared 197788 tmem 512\n8\nrequestedRegisters = array<i32: 24, 88>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01KMn56DaVnf1Jik68SFTYts","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jfbCNHw4pV2ULKGJ4W","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"It compiled with 8 prefetch instructions showing up in the PTX, and a new partition picked up 88 registers, possibly from the prefetch logic being isolated. Now I want to verify correctness and run an A/B comparison between PD=4 and PD=8.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4149,"cache_read_input_tokens":324306,"cache_creation":{"ephemeral_5m_input_tokens":4149,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"44f6a1a3-222f-4697-80ba-c9da96155df8","timestamp":"2026-10-18T00:13:36.735Z","request_id":"req_011Cg8jfanZtcxH1McHQVnyd","thinking_duration_ms":2248,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jfbCNHw4pV2ULKGJ4W","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_018ET6avGhDB4NqsecdzmS9G","name":"Bash","input":{"command":"PD=4 python bench.py v12.py --quick 2>&1 | head -1; for pd in 4 8 16; do echo \"== PD=$pd\"; PD=$pd python ab.py /workspace/solution.py v12.py 3 | tail -1; done","description":"Correctness and A/B sweep of prefetch distance"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4149,"cache_read_input_tokens":324306,"cache_creation":{"ephemeral_5m_input_tokens":4149,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"19418d8b-dbc5-4149-be42-f6cc396c01be","timestamp":"2026-10-18T00:13:36.747Z","request_id":"req_011Cg8jfanZtcxH1McHQVnyd"}
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I'm also reconsidering what hidden test shapes might stress the kernel — smaller Sq values would increase HBM traffic relative to L2 reuse since fewer CTAs share each KV block, so I want to make sure performance holds up for those configurations too.\n\nSince I don't have the expert's reference numbers for these potential hidden shapes, the best I can do is sweep across a handful of candidate configurations to check that TFLOPS stays consistent and there's no pathological drop-off anywhere.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":426,"cache_read_input_tokens":328455,"cache_creation":{"ephemeral_5m_input_tokens":426,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"6a23b0fb-8eee-40b7-82ad-755ab5862d56","timestamp":"2026-10-18T00:14:15.448Z","request_id":"req_011Cg8jhoi14gC7zd6DvWqp9","thinking_duration_ms":10496,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jhp6KBRS5YxnKGz9DB","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The prefetch version turned out 13% slower since the extra inline asm disrupts warp-specialization partitioning, so I'm dropping it. With about 40 minutes left, I'll test robustness against plausible hidden shapes to catch any pathological TFLOPS drops.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":426,"cache_read_input_tokens":328455,"cache_creation":{"ephemeral_5m_input_tokens":426,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"abd3f273-8fc9-4a89-9eda-727d4b7a10bd","timestamp":"2026-10-18T00:14:15.454Z","request_id":"req_011Cg8jhoi14gC7zd6DvWqp9","narration_block_indexes":[0],"thinking_duration_ms":5,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jhp6KBRS5YxnKGz9DB","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XfB3oUzQanh6kYwFV69WaN","name":"Bash","input":{"command":"cat > /workspace/dev/sweep.py << 'EOF'\nimport sys, torch\nsys.path.insert(0, '/workspace'); sys.path.insert(0, '/workspace/dev')\nimport task as T\nfrom bench import load, time_fn\nmod = load(sys.argv[1])\nshapes = [(1,128,65536),(4,128,32768),(1,1024,32768),(1,384,98304),(2,512,32768),(1,256,32768),(1,2048,32768),(8,256,16384),(1,320,65536),(1,768,65536),(3,256,40000),(1,4096,32768)]\nfor B, Sq, Sk in shapes:\n    sh = dict(B=B, Sq=Sq, Sk=Sk)\n    case = T.make_case(sh, 1, 'cuda')\n    exp = T.reference([a.clone() for a in case.args]) if B * Sk <= 131072 * 2 and Sq <= 2048 else None\n    case.args[3].fill_(float('nan'))\n    mod.kernel_fn(*case.args); torch.cuda.synchronize()\n    ok = T.check({3: case.args[3]}, exp)[0] if exp is not None else 'skip'\n    t = time_fn(mod.kernel_fn, case.args)\n    # causal flops: sum over queries of visible keys\n    keys = B * 16 * sum(Sk - Sq + i + 1 for i in range(Sq))\n    print(sh, ok, f'{t:.1f} us', f'{4 * keys * 256 / t / 1e6:.0f} TFLOPS')\nEOF\npython /workspace/dev/sweep.py /workspace/solution.py","description":"Sweep plausible hidden shapes for correctness and TFLOPS"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":426,"cache_read_input_tokens":328455,"cache_creation":{"ephemeral_5m_input_tokens":426,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"e9c3167d-dbde-4830-8b7c-46ed289deac1","timestamp":"2026-10-18T00:14:18.235Z","request_id":"req_011Cg8jhoi14gC7zd6DvWqp9"}
{"type":"system","subtype":"task_started","task_id":"bmn786gw3","run_id":"0mvd2p9vx-1c41bf5c","tool_use_id":"toolu_01XfB3oUzQanh6kYwFV69WaN","description":"Sweep plausible hidden shapes for correctness and TFLOPS","is_backgrounded":false,"task_type":"local_bash","uuid":"03269d9f-d136-4fdb-9da4-2bc8522c1874","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
{"type":"system","subtype":"task_notification","task_id":"bmn786gw3","run_id":"0mvd2p9vx-1c41bf5c","tool_use_id":"toolu_01XfB3oUzQanh6kYwFV69WaN","status":"completed","output_file":"","summary":"Sweep plausible hidden shapes for correctness and TFLOPS","uuid":"a14c9c69-f455-4d29-8e5f-7479b9a1fbaf","session_id":"150baad0-af53-4541-93d8-2f6edd727504"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jjhLakcESuXZPQbVR5","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Looking at the smaller config of (1,128,65536), I'm checking whether the 131us runtime holds up given fixed overheads like combine and prologue/epilogue steps now eat a larger share of the total time, which could explain a weaker efficiency spot here.\n\nFor the other two shapes, overheads similarly dominate at shorter runtimes, and I'm worried our expected 75-80% floor is risky since the expert's TFLOPS on these shapes could be notably higher.\n\nDigging into the small Sq case specifically, my estimated per-block loop time of 0.78us doesn't match the measured 131us total, implying actual per-iteration cost is closer to 1.09us — suggesting we're HBM-bound at around 55% of peak bandwidth, likely because the access pattern's small segment size at a larger stride is hurting effective throughput.\n\nI'm now considering whether reordering groups to process different heads in lockstep could help — since each key tile load is only 512B per head but heads are 4KB apart, having 8 heads load their chunks together would form a contiguous 4KB read and improve DRAM page hit rates, instead of the current head-major ordering that spreads these reads apart in time.\n\nIf L equals the group range exactly, each group maps to one (chunk, head) segment, so groups with the same chunk but different heads process the same block range in lockstep — this needs GF divisible by 8 for perfect balance, like 72. Given limited time, I'm leaning toward just testing the DRAM page locality hypothesis directly with a quick hack on the Sq=128 shape.\n\nThat gives 97.3% utilization with no straddling overhead for this case. But checking the main shapes like Sq=256 B=1 and B=2, the aligned GF drops utilization to 86%, so alignment only helps for certain shapes—this would need a cost-model to choose between aligned and unaligned approaches, which is too complex given the remaining time. Instead I should focus on reducing fixed overheads for short runs, which matter most for small shapes, starting with the combine kernel.\n\nFor the (1,128,65536) case, the 131us total breaks down into ~120us main loop and ~11us overhead. I'm now comparing against how FA4's 2-CTA approach with GQA packing would handle Sq=128—they'd use 8 CTA pairs needing splits, landing at 144 CTAs, with each pair loading K/V once so the HBM traffic stays at 1x KV volume.\n\nThis means their SM traffic is roughly half ours, suggesting they'd beat our 1048 TFLOPS significantly on small Sq shapes, possibly hitting ~1400 TFLOPS which would put us below the 80% floor. But that risk likely doesn't matter since shorter chunks are only checked for correctness, not timed—so hidden timed shapes are probably 256+ token chunks. My real concern shifts to Sq=256 with Sk=32K at 1204 TFLOPS, where overhead becomes more significant relative to the shorter runtime.\n\nExtrapolating from the Sq=256/Sk=128K case, I estimate the expert would land around 1370 TFLOPS at Sk=32K, giving roughly 88% efficiency—comfortably above the 80% threshold. So the priority becomes trimming fixed overheads since those hurt short shapes the most, and I'm weighing options: fusing the combine step to skip a separate launch, switching combine partials to a cheaper format (though precision concerns rule that out), or shaving time off the epilogue itself.\n\nDigging into the epilogue's 4us cost, I suspect the global store of the normalized fp32 output isn't coalescing well—each thread's TMEM-derived row segment lands at a stride that spreads a single warp's store across 32 scattered 16-byte chunks instead of one contiguous burst, which would explain the surprisingly low effective bandwidth.\n\nReordering memory as column-block-major so consecutive rows write consecutive 16B chunks fixes the coalescing issue, since the combine step can tolerate any layout when reading full tiles. I'm working out the pointer arithmetic in Triton to express this column-grouped addressing scheme, letting the compiler vectorize based on the accumulator's layout.\n\nI'm unsure whether Triton preserves the TMEM-load layout for the store or inserts a layout conversion through shared memory to get coalescing — that conversion would cost 128KB of smem, which is already tight with the K/V buffers, though the allocator might reuse freed space after the loop. I need to check what Triton actually does here.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jo7FaXcUav8XfQAq7G","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm looking at the cost of converting the output layout through shared memory—moving 128KB of fp32 data with likely bank conflicts and barrier overhead. I'm wondering if restructuring the memory layout so the thread mapping matches more directly could avoid this expensive shared-memory round trip.\n\nIf the layout were column-major with rows as the fastest-varying dimension, each warp's 32 lanes would naturally write 32 consecutive rows—128 contiguous bytes, perfectly coalesced into a single memory transaction per instruction, even without vectorization across the 128 column-wise stores per thread.\n\nA better layout would group 4 consecutive columns per thread, letting each warp write 512 contiguous bytes per instruction with only 32 instructions per thread total, cutting the store count significantly. The key question is whether Triton's coalesce pass, which picks a blocked layout based on pointer contiguity and favors the most contiguous dimension, would still need to insert a convert_layout from the original linear layout to this new blocked layout—potentially a cheaper conversion, unless a later optimization pass manages to eliminate it entirely.\n\nMaybe avoiding pointer stores entirely and using a TMA store through a tensor descriptor instead would be cleaner, letting the compiler stage through shared memory before the TMA transfer. The staging buffer would need the K/V buffers' space to be reused once they're dead, since liveness-based allocation should allow that reuse within the existing shared memory budget.\n\nWith limited time left, I want to quickly test by stripping out the partial store just to time the epilogue, then try a transposed [col][row] addressing scheme to see if it speeds things up, making sure the combine step reads with a matching layout. For the combine, I'm checking how the address pattern affects coalescing — reading with R=16 rows gives 64-byte segments, but bumping to R=32 would give full 128-byte segments, which seems like a reasonable improvement to pursue.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jrLPwpTyR6nqvoaNd9","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"That approach turned out slower, so I'll revert back to the previous solution. With about 37 minutes left, I need to be careful—I'm weighing final candidates like OVH tuning (likely just noise) versus adjusting the combine kernel parameters, maybe trying a smaller R with fewer warps.\n\nI'm doing a final robustness pass over the solution, checking that offset math stays safely in int64 where needed and that in-kernel int32 products (like g × NUM and (x+1) × T) stay well under the 2^31 limit across both typical and extreme shape configurations.\n\nI also confirm that the combine kernel correctly branches between its static and dynamic paths depending on segment count, and verify edge cases like Sq equal to Sk and very small or tiny Sk values are handled properly.\n\nRetry paths work through ramp and large distribution tests, and the debug barrier inside the while loop functions correctly alongside workspace usage. The allocator for device-side TMA scratch descriptors works fine per CTA and correctly respects the current CUDA device across multiple GPUs. 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directly.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cach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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jvQUruWvLXLtSubm7c","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The combined variants show no meaningful difference, just noise, so I'll leave that as is. With about 31 minutes left, I'm weighing whether another OVH A/B test or looking at the tail-block masking logic would be worth pursuing, though earlier differences were negligible.\n\nI'm tracing through the edge case where hi ≤ lo gives an empty KV range — zero iterations, m_ref defaults to 0, overflow check fails safely, and lse resolves to -inf as expected. Now I'm checking a trickier case: rows that are fully masked in the first block of a segment because their query position is before the segment start, verifying that all their subsequent blocks stay masked too since the block index only increases.\n\nThen I'm confirming retry correctness — since m_ref on retry equals the exact scaled max from the first pass, p stays bounded under 1 and no overflow can recur, with the overflow flag forced false so it won't loop again. I'm also sanity-checking magnitude bounds: p up to roughly a million, l scaling up to about 1.4e11, and accumulated values staying well within fp32 range unless the inputs themselves are already extreme enough to produce inf, in which case the reference implementation would behave the same way. Finally I'm considering the opposite extreme — very small q and k values producing scores near zero, which keeps softmax probabilities close to 1 without any numerical trouble.\n\nChecking the all-zero query row case next, confirming it yields a uniform softmax as expected and matches the tested scenario. Satisfied the solution is solid, I'm now weighing a few low-risk performance tweaks — adjusting warp count, simplifying the overflow-check epilogue, tuning per-shape heuristics, or reconsidering SM utilization for grouped work — before considering experimenting with warp specialization and staging parameters.\n\nTrying loop-level num_stages=3 would push shared memory usage past the 227KB budget, so I'm ruling that out, along with a loop-flatten idea. For the partial group case I'm reassuring myself that splitting work across four CTAs handling two tiles each is fine, and I conclude an A/B test between different overhead constants would just be noise. I'm turning my attention now to re-examining how the combine step runs after the main kernel pass.\n\nThe combine kernel's extra latency seems unaffected by PDL or launching fewer, fatter programs — it looks launch-gap bound rather than something I can optimize further. With my remaining time I want to try replacing the Q load's pointer-gather approach with a TMA descriptor instead, viewing Q as a 3D tensor and loading tiles that get reshaped before use, to shave time off the prologue.\n\nGiven the expected gain is small relative to the risk, I don't think it's worth pursuing further. Instead I'm double-checking the solution satisfies the grader's constraints — outputs pre-filled with NaN before each call, no caching between calls, and the combine kernel properly covering all valid rows across segments and heads.\n\nOne concern is that `triton.set_allocator` is set globally at import time, so if another Triton-based module later resets the allocator to a null/default one, my kernel's TMA scratch allocation could break. Since the reference and expert kernels aren't Triton-based, this seems low risk, but it's a fragile dependency to be aware of.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1176,"cache_read_input_tokens":340763,"cache_creation":{"ephemeral_5m_input_tokens":1176,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"a0dc763b-973f-4eb6-8de0-88d3d7c889f3","timestamp":"2026-10-18T00:17:20.237Z","request_id":"req_011Cg8jvQ54SBXbfZyzad2YG","thinking_duration_ms":24994,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k37DjsCnYGqfGiiuoV","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"All 16 checks pass, confirming the autosave correctly kept the best result at 17.255x despite check.py showing higher times from back-to-back runs without flushing. With about 27 minutes left, I want to update the memory file with the final state and insights, then possibly explore one more small idea, like examining the Sq=512/Sk=128K shape with its roughly 886 blocks per CTA and the partial group segmentation.\n\nComparing against the expert's numbers, my bench and median timings land close to theirs with ratios near 1.0, geomean right around parity — borderline for a strict pass but fine given the continuous reward. With this little time left, a risky change isn't worth it; any remaining micro-optimizations like reordering the Q/K loads in the prologue would only save microseconds. I'll wrap up here and finalize the memory notes.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":900,"cache_read_input_tokens":344934,"cache_creation":{"ephemeral_5m_input_tokens":900,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"11462c02-38cd-4387-bff2-863f035284c0","timestamp":"2026-10-18T00:18:34.893Z","request_id":"req_011Cg8k36rAAUAdpLZjYuNVC","thinking_duration_ms":8332,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k37DjsCnYGqfGiiuoV","type":"message","role":"assistant","content":[{"type":"text","text":"All 16 checks pass and check.py autosaved this version as the best. Let me update my memory notes with the final state and key lessons."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":900,"cache_read_input_tokens":344934,"cache_creation":{"ephemeral_5m_input_tokens":900,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"db192fbb-a511-4322-9996-e8096beeae2d","timestamp":"2026-10-18T00:18:34.893Z","request_id":"req_011Cg8k36rAAUAdpLZjYuNVC"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01BS7f9Rjj7BTqxxDKrS4mHL","type":"tool_result","content":"The file /logs/agent/sessions/projects/-workspace/memory/hd256-attn-triton-findings.md has been updated successfully."}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"fdfaa770-bb4c-4c22-8b0a-a229a54e3607","timestamp":"2026-10-18T00:18:41.325Z","tool_use_result":{"type":"update","filePath":"/logs/agent/sessions/projects/-workspace/memory/hd256-attn-triton-findings.md","content":"---\nname: hd256-attn-triton-findings\ndescription: \"Key findings for the Triton hd256 causal GQA chunked-prefill attention task on B300 (what worked, compiler pitfalls, bottlenecks)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: 150baad0-af53-4541-93d8-2f6edd727504\n  modified: 2026-10-18T00:18:41.316Z\n---\n\nTask (2026-10-17/18): beat FA4 hd256 split-KV in Triton 3.7.1 on B300 (148 SMs, 2032 MHz, peak bf16 ~2.46 PF).\nFinal: ~0.99-1.02x expert (my L2-flushed bench), solution.py = dev/v10 + per-call set_allocator.\n\nWhat worked (in order of impact):\n- No online-softmax O rescale (TMEM round trip = 8x slowdown). Fixed per-row reference max taken in-loop on the\n  first block; retry the segment with the exact max if any row overshoots by >20 (log2) (while loop, max via LSE buf).\n- Loop order: issue QK(j+1) before softmax(j)/PV(j); warp_specialize=True; BN=64, num_stages=2, num_warps=8.\n- Split-KV \"groups\": QT CTAs (one per 64q x 2 heads tile) walk the same KV range in lockstep (L2 sharing);\n  consecutive CTA ids per group; partial group (RP CTAs, QT/RP tiles each) to fill all 148 SMs.\n- Cost-aware partition: virtual gap of OVH=10 blocks per head boundary (segment switch costs ~8-11 us).\n- Hoist TMA descriptors (single [B*Sk, HKV*D] view) -> segment prologue 3.6->1.7 us.\nDidn't help: BN=128 (TMEM/SMEM won't fit double buffers), BN=32, PDL, smid placement, L2 prefetch asm (-13%),\ntransposed partial layout, bf16 partials (+0.65% but halves error margin), num_ctas=2 (compiler crash).\nBottleneck: aggregate L2->SM bandwidth (~11 TB/s) at full occupancy; expert uses 2-CTA MMA to halve it.\nTriton WS pitfalls: scf.if with acc ops in WS loop; dot-derived reduction outside loop used inside -> crash.\nTiming noise +-3% run to run (placement/clock ramp): use paired A/B (dev/ab.py).\n","structuredPatch":[{"oldStart":1,"oldLines":21,"newStart":1,"newLines":26,"lines":[" ---"," name: hd256-attn-triton-findings","-description: \"Key findings for the Triton hd256 causal GQA chunked-prefill attention task on B300 (what worked, compiler pitfalls)\"","+description: \"Key findings for the Triton hd256 causal GQA chunked-prefill attention task on B300 (what worked, compiler pitfalls, bottlenecks)\""," metadata:","   node_type: memory","   type: project","   originSessionId: 150baad0-af53-4541-93d8-2f6edd727504","-  modified: 2026-10-17T23:45:42.807Z","+  modified: 2026-10-18T00:18:41.316Z"," ---"," ","-Task (2026-10-17): beat FA4 hd256 split-KV in Triton 3.7.1 on B300 (148 SMs, 2032 MHz, peak bf16 ~2.46 PF).","+Task (2026-10-17/18): beat FA4 hd256 split-KV in Triton 3.7.1 on B300 (148 SMs, 2032 MHz, peak bf16 ~2.46 PF).","+Final: ~0.99-1.02x expert (my L2-flushed bench), solution.py = dev/v10 + per-call set_allocator."," ","-- Online-softmax O rescale (TMEM round trip of 128x256 fp32) every iteration = 8x slowdown. Fix: fixed per-row","-  reference max from first KV block of the segment (no rescale); if any row exceeds ref by >20 (log2), retry","-  segment with exact max (while-loop retry, max passed via global LSE buffer). Reached ~0.95x expert (v4).","-- Triton WS pitfalls: scf.if containing acc ops inside WS loop -> partition error; reduction of a tl.dot result","-  computed OUTSIDE the WS loop and used inside -> \"parent layout must have rank>=2\" crash; a second loop inside","-  an `if` -> InsertTmemAref assertion. Loop-carried 1D tensor through while loop also crashed.","-- Reordering loop (issue QK(j+1) before softmax(j)/PV(j)) works with warp_specialize=True.","-- BN=64, num_stages=2: SMEM ~197KB, TMEM 512 cols. Likely smem-bandwidth bound (Q re-read per QK).","-- Dev files in /workspace/dev (bench.py harness, v4.py best). Solution in /workspace/solution.py.","+What worked (in order of impact):","+- No online-softmax O rescale (TMEM round trip = 8x slowdown). Fixed per-row reference max taken in-loop on the","+  first block; retry the segment with the exact max if any row overshoots by >20 (log2) (while loop, max via LSE buf).","+- Loop order: issue QK(j+1) before softmax(j)/PV(j); warp_specialize=True; BN=64, num_stages=2, num_warps=8.","+- Split-KV \"groups\": QT CTAs (one per 64q x 2 heads tile) walk the same KV range in lockstep (L2 sharing);","+  consecutive CTA ids per group; partial group (RP CTAs, QT/RP tiles each) to fill all 148 SMs.","+- Cost-aware partition: virtual gap of OVH=10 blocks per head boundary (segment switch costs ~8-11 us).","+- Hoist TMA descriptors (single [B*Sk, HKV*D] view) -> segment prologue 3.6->1.7 us.","+Didn't help: BN=128 (TMEM/SMEM won't fit double buffers), BN=32, PDL, smid placement, L2 prefetch asm (-13%),","+transposed partial layout, bf16 partials (+0.65% but halves error margin), num_ctas=2 (compiler crash).","+Bottleneck: aggregate L2->SM bandwidth (~11 TB/s) at full occupancy; expert uses 2-CTA MMA to halve it.","+Triton WS pitfalls: scf.if with acc ops in WS loop; dot-derived reduction outside loop used inside -> crash.","+Timing noise +-3% run to run (placement/clock ramp): use paired A/B (dev/ab.py)."]}],"originalFile":"---\nname: hd256-attn-triton-findings\ndescription: \"Key findings for the Triton hd256 causal GQA chunked-prefill attention task on B300 (what worked, compiler pitfalls)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: 150baad0-af53-4541-93d8-2f6edd727504\n  modified: 2026-10-17T23:45:42.807Z\n---\n\nTask (2026-10-17): beat FA4 hd256 split-KV in Triton 3.7.1 on B300 (148 SMs, 2032 MHz, peak bf16 ~2.46 PF).\n\n- Online-softmax O rescale (TMEM round trip of 128x256 fp32) every iteration = 8x slowdown. 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Solution in /workspace/solution.py.\n","userModified":false,"memdirStamped":true},"tool_result_meta":[{"id":"toolu_01BS7f9Rjj7BTqxxDKrS4mHL","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k5SCoddN1jj2VWi9Lz","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The 6/14 OVH result is within noise of 10, so I'll keep 10. The B=2 shape variance between runs (388 vs 425, about 10%) looks like it comes from fresh tensor allocation per invocation, but since paired tests use identical tensors, the ratio itself stays reliable.\n\nI'm suspecting this might be a DRAM bank/channel conflict issue — if K and V tensors for the same block land at addresses offset by exactly their tensor size (e.g. 512MiB), they could map to the same memory channels and cause bank conflicts, which would explain the reproducible variance at specific shapes.\n\nWith time running short, fixing allocator-dependent placement effects robustly isn't realistic right now, so I'll do a final sanity pass on the solution file to make sure everything is coherent before wrapping up.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":877,"cache_read_input_tokens":347476,"cache_creation":{"ephemeral_5m_input_tokens":877,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"b7890b6b-32c3-483f-a524-cc26b8d35a8e","timestamp":"2026-10-18T00:19:06.985Z","request_id":"req_011Cg8k5Roz3kVJ4HxxTsCHP","thinking_duration_ms":9094,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k5SCoddN1jj2VWi9Lz","type":"message","role":"assistant","content":[{"type":"text","text":"OVH 6 and 14 are within noise of 10 (±0.3%), so 10 stays. I'll do a final review of the solution file."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":877,"cache_read_input_tokens":347476,"cache_creation":{"ephemeral_5m_input_tokens":877,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"758687f6-7a29-46da-9a78-704186e96a73","timestamp":"2026-10-18T00:19:06.986Z","request_id":"req_011Cg8k5Roz3kVJ4HxxTsCHP"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k5SCoddN1jj2VWi9Lz","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01PFyf2ARw4aghpmwpuAaAwh","name":"Bash","input":{"command":"cd /workspace && sed -n 1,60p solution.py && wc -c solution.py","description":"Review final solution file header and loop"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":877,"cache_read_input_tokens":347476,"cache_creation":{"ephemeral_5m_input_tokens":877,"ephemeral_1h_input_tokens":0},"output_tokens":7,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"40ec67ab-591a-427f-84ec-55e042beb69a","timestamp":"2026-10-18T00:19:06.992Z","request_id":"req_011Cg8k5Roz3kVJ4HxxTsCHP"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01PFyf2ARw4aghpmwpuAaAwh","type":"tool_result","content":"import math\nimport torch\nimport triton\nimport triton.language as tl\n\nNUM_SMS = 148\nOVH_BLOCKS = 10\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\n\n@triton.jit\ndef _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units, the max of the first block): the accumulator is\n    # never rescaled. The caller retries with the exact row max if any row overshoots the reference by too much.\n    offs_n = tl.arange(0, BN)\n    acc = tl.zeros((BM, D), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k = k_desc.load([krow + lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([krow + n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where((n0 == lo) & fresh, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([krow + n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_next\n    return acc, l_i, m_max, m_ref\n\n\n@triton.jit\ndef _attn_fwd(Q, K, V, OP, LP, NBATCH, Sq, Sk, qk_scale, QT, NB, OVH, VL, NUM, GF, RP, T, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    # Work = P (batch, kv head) pairs x NB key blocks, laid out head-major (\"head-blocks\", W in total). GF full groups\n    # of QT CTAs (one query tile each) and, when QT does not divide the SM count, one partial group of RP CTAs (QT / RP\n    # query tiles each) split the head-blocks in proportion QT : RP. CTAs of a group walk the same keys in lockstep,\n    # so K/V tiles are shared through L2.\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    c = tl.program_id(0)\n    full = c < GF * QT\n    g = tl.where(full, c // QT, GF)\n    kt0 = tl.where(full, c % QT, c - GF * QT)\n    nkt = tl.where(full, 1, QT // tl.maximum(RP, 1))\n    kstep = tl.where(full, QT, RP)\n    # Virtual line: head p's blocks sit at [p * HS, p * HS + NB), HS = NB + OVH; the OVH-block gaps charge a group for\n8969 solution.py","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"834842df-400d-4af7-bd80-d81ef9d3edb3","timestamp":"2026-10-18T00:19:07.023Z","tool_use_result":{"stdout":"import math\nimport torch\nimport triton\nimport triton.language as tl\n\nNUM_SMS = 148\nOVH_BLOCKS = 10\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\n\n@triton.jit\ndef _attn_loop(q, k_desc, v_desc, krow, kcol, lo, mid, hi, qk_scale, qpos, m_ref, fresh,\n               BM: tl.constexpr, BN: tl.constexpr, D: tl.constexpr, WS: tl.constexpr):\n    # Softmax against a fixed per-row reference m_ref (log2 units, the max of the first block): the accumulator is\n    # never rescaled. The caller retries with the exact row max if any row overshoots the reference by too much.\n    offs_n = tl.arange(0, BN)\n    acc = tl.zeros((BM, D), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    m_max = tl.full((BM,), -float('inf'), tl.float32)\n    k = k_desc.load([krow + lo, kcol])\n    s = tl.dot(q, k.T)\n    for n0 in tl.range(lo, hi, BN, warp_specialize=WS):\n        kn = k_desc.load([krow + n0 + BN, kcol])\n        s_next = tl.dot(q, kn.T)\n        if n0 >= mid:\n            ok = (n0 + offs_n)[None, :] <= qpos[:, None]\n            s = tl.where(ok, s, -float('inf'))\n        m_max = tl.maximum(m_max, tl.max(s, 1))\n        m_ref = tl.where((n0 == lo) & fresh, tl.where(m_max == -float('inf'), 0.0, m_max * qk_scale), m_ref)\n        p = tl.math.exp2(s * qk_scale - m_ref[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([krow + n0, kcol])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_next\n    return acc, l_i, m_max, m_ref\n\n\n@triton.jit\ndef _attn_fwd(Q, K, V, OP, LP, NBATCH, Sq, Sk, qk_scale, QT, NB, OVH, VL, NUM, GF, RP, T, JMAX,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n              WS: tl.constexpr):\n    # Work = P (batch, kv head) pairs x NB key blocks, laid out head-major (\"head-blocks\", W in total). GF full groups\n    # of QT CTAs (one query tile each) and, when QT does not divide the SM count, one partial group of RP CTAs (QT / RP\n    # query tiles each) split the head-blocks in proportion QT : RP. CTAs of a group walk the same keys in lockstep,\n    # so K/V tiles are shared through L2.\n    G: tl.constexpr = HQ // HKV\n    BMQ: tl.constexpr = BM // G\n    c = tl.program_id(0)\n    full = c < GF * QT\n    g = tl.where(full, c // QT, GF)\n    kt0 = tl.where(full, c % QT, c - GF * QT)\n    nkt = tl.where(full, 1, QT // tl.maximum(RP, 1))\n    kstep = tl.where(full, QT, RP)\n    # Virtual line: head p's blocks sit at [p * HS, p * HS + NB), HS = NB + OVH; the OVH-block gaps charge a group for\n8969 solution.py","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01PFyf2ARw4aghpmwpuAaAwh","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k6FxSKPPkZM69UgXz8","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XCUFyaqVokgPdtC9k3jeg4","name":"Bash","input":{"command":"python - << 'EOF'\ns = open('solution.py').read()\ns = s.replace(\"NUM_SMS = 148\\n\", \"\")\ns = s.replace(\"def _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH):\", \"def _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, NUM_SMS):\")\ns = s.replace(\"    QT, NB, VL, NUM, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH)\",\n              \"    nsm = torch.cuda.get_device_properties(q.device).multi_processor_count\\n    QT, NB, VL, NUM, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, nsm)\")\ns = s.replace('laid out head-major (\"head-blocks\", W in total)', 'laid out head-major (\"head-blocks\")')\nopen('/tmp/sol_final2.py', 'w').write(s)\nEOF\ngrep -n \"NUM_SMS\\|nsm\" /tmp/sol_final2.py; sed -i \"s/QT, NB, VL, NUM, GF, RP, T, JMAX = m._plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH)/QT, NB, VL, NUM, GF, RP, T, JMAX = m._plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, NSM)/; s/^HQ, HKV, BM, BN = 16, 8, 128, 64/HQ, HKV, BM, BN = 16, 8, 128, 64\\nNSM = 148/\" dev/simplan2.py && python dev/simplan2.py /tmp/sol_final2.py | tail -1 && sed -i \"s/^NSM = 148/NSM = 132/\" dev/simplan2.py && python dev/simplan2.py /tmp/sol_final2.py | tail -1 && sed -i \"s/^NSM = 132/NSM = 148/\" dev/simplan2.py && python -c \"import static_check; print(static_check.check(open('/tmp/sol_final2.py').read()))\"","description":"Use runtime SM count; re-simulate plans for 148 and 132 SMs"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2236,"cache_read_input_tokens":348353,"cache_creation":{"ephemeral_5m_input_tokens":2236,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1f697b36-2745-4323-ad6f-4d66bdbf0cbd","timestamp":"2026-10-18T00:19:22.902Z","request_id":"req_011Cg8k6FbrghiuGFLNSLvZr"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XCUFyaqVokgPdtC9k3jeg4","type":"tool_result","content":"159:def _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, NUM_SMS):\n165:    GF = max(1, NUM_SMS // QT)\n167:    rem = NUM_SMS - GF * QT\n190:    nsm = torch.cuda.get_device_properties(q.device).multi_processor_count\n191:    QT, NB, VL, NUM, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, nsm)\nall plans OK\nall plans OK\n(True, 'ok')","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0c7bda29-81d0-466f-aa37-4d3fdba6c512","timestamp":"2026-10-18T00:20:08.213Z","tool_use_result":{"stdout":"159:def _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, NUM_SMS):\n165:    GF = max(1, NUM_SMS // QT)\n167:    rem = NUM_SMS - GF * QT\n190:    nsm = torch.cuda.get_device_properties(q.device).multi_processor_count\n191:    QT, NB, VL, NUM, GF, RP, T, JMAX = _plan(B, Sq, Sk, HQ, HKV, BM, BN, OVH, nsm)\nall plans OK\nall plans OK\n(True, 'ok')","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XCUFyaqVokgPdtC9k3jeg4","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01YT1uQZb5RziKdCzpA5GYhq","type":"tool_result","content":"16\nDISTS ALL OK\nRANDOM+DISTS ALL OK\ngeomean A 433.7 B 432.9  B/A 0.9983\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 402.75 us, starting kernel 9288.96 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 393.66 us, starting kernel 6009.02 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 735.17 us, starting kernel 12324.80 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 409.06 us, starting kernel 6139.39 us","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"0074eb23-f4cc-4b82-a7ea-723e6771e651","timestamp":"2026-10-18T00:20:56.025Z","tool_use_result":{"stdout":"16\nDISTS ALL OK\nRANDOM+DISTS ALL OK\ngeomean A 433.7 B 432.9  B/A 0.9983\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 402.75 us, starting kernel 9288.96 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 393.66 us, starting kernel 6009.02 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 735.17 us, starting kernel 12324.80 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 409.06 us, starting kernel 6139.39 us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01YT1uQZb5RziKdCzpA5GYhq","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014KhKYPjK9dsb7Lqwf5jkZS","type":"tool_result","content":"{'B': 1, 'Sq': 256, 'Sk': 131072}: 371.7 us  expert 379  speedup 1.020  1479 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.2 us  expert 356  speedup 0.986  1522 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 693.3 us  expert 692  speedup 0.998  1586 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 389.1 us  expert 381  speedup 0.979  1413 TFLOPS\nGEOMEAN vs expert: 0.996\n-rw-rw-r-- 1 agent agent 9032 Oct 18 00:20 /workspace/solution.py\n\n/workspace/.best/:\ntotal 10\ndrwxrwxr-x 1 agent agent  140 Oct 18 00:18 .\ndrwxr-xr-x 1 agent agent  140 Oct 17 23:50 ..\n-rw-rw-r-- 1 agent agent  109 Oct 18 00:18 best.json\ndrwxrwxr-x 1 agent agent  140 Oct 18 00:20 calls\n-rw-rw-r-- 1 agent agent  408 Oct 18 00:20 history.jsonl\n-rw-rw-r-- 1 agent agent 8969 Oct 18 00:18 solution.py","is_error":false}]},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"22606313-7ca5-42cb-a883-464cdc87ea0a","timestamp":"2026-10-18T00:21:06.805Z","tool_use_result":{"stdout":"{'B': 1, 'Sq': 256, 'Sk': 131072}: 371.7 us  expert 379  speedup 1.020  1479 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 65536}: 361.2 us  expert 356  speedup 0.986  1522 TFLOPS\n{'B': 1, 'Sq': 512, 'Sk': 131072}: 693.3 us  expert 692  speedup 0.998  1586 TFLOPS\n{'B': 2, 'Sq': 256, 'Sk': 65536}: 389.1 us  expert 381  speedup 0.979  1413 TFLOPS\nGEOMEAN vs expert: 0.996\n-rw-rw-r-- 1 agent agent 9032 Oct 18 00:20 /workspace/solution.py\n\n/workspace/.best/:\ntotal 10\ndrwxrwxr-x 1 agent agent  140 Oct 18 00:18 .\ndrwxr-xr-x 1 agent agent  140 Oct 17 23:50 ..\n-rw-rw-r-- 1 agent agent  109 Oct 18 00:18 best.json\ndrwxrwxr-x 1 agent agent  140 Oct 18 00:20 calls\n-rw-rw-r-- 1 agent agent  408 Oct 18 00:20 history.jsonl\n-rw-rw-r-- 1 agent agent 8969 Oct 18 00:18 solution.py","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_014KhKYPjK9dsb7Lqwf5jkZS","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8kF66cE8Fvthwom2Nsp","type":"message","role":"assistant","content":[{"type":"text","text":"`/workspace/solution.py` is correct and runs at about **1.0× the expert kernel's speed** in my measurements: a geometric mean of 0.98–1.0, versus 0.12× for my first working version. That's right at the pass bar, so whether it clears \"≥1.00×\" in the grader's paired run is a coin flip. The vLLM kernel isn't installed here, so I compared against the expert times listed in `task.py`. I timed with an L2 flush; `check.py` reads 5–8% slower because it runs back-to-back without flushing.\n\n| Shape | Mine (µs) | Expert (µs) | Ratio |\n|---|---|---|---|\n| Sq=256, Sk=128K | ~372 | 379 | ~1.02 |\n| Sq=512, Sk=64K | ~361 | 356 | ~0.99 |\n| Sq=512, Sk=128K | ~695–720 | 692 | ~0.96–1.0 |\n| B=2, Sq=256, Sk=64K | ~378–425 | 381 | ~0.9–1.0 |\n\nTimings vary by about ±3% between runs, and more on the B=2 shape (378–425 µs for the same kernel, depending on fresh tensor allocations).\n\n**Correctness.** It passes all four timed shapes and 10 edge shapes (tiny and non-power-of-two sizes). It also passes 12 random shapes and these input types: outliers (80× on q, k or v), large and small magnitudes, zero rows, all-zero q, shifted means, heavy tails, sparse inputs, per-row scale variation, and a ramp input that forces the fallback path. The worst error is about 0.34 of the tolerance. It passes the static check and is about 9 KB.\n\n**What made it fast:**\n- **No accumulator rescaling.** Each row's softmax is computed against a fixed reference: the max of its first KV block. The usual per-step rescale of the output accumulator was an 8× slowdown here. If any row ends up more than 2^20 above its reference, that piece of work is redone with the exact row max, so overflow can't happen.\n- **Split-KV in lockstep groups.** One CTA per query tile, and all query tiles of a KV head walk the same KV range at the same time, so they share K/V reads through L2. A partial group fills all the SMs when the tile count doesn't divide 148; the SM count is now read at runtime.\n- **Cheaper boundaries.** A CTA whose range crosses into a new KV head pays ~8–11 µs extra, so those CTAs are given proportionally less work. Creating the TMA descriptors once also cut each boundary's setup time in half.\n- **Loop structure.** The next QK^T is issued before the current softmax and P·V, with warp specialization, 64-key blocks, 2 stages and 8 warps.\n\n**Why it stops here.** The kernel is now limited by total L2-to-SM bandwidth (~11 TB/s across the GPU). The expert kernel halves that traffic with a two-CTA matrix-multiply mode that Triton's `tl` doesn't expose; `num_ctas=2` crashes the compiler on this kernel. Several other things made no difference or were slower (from −0.4% to −13%), including larger or smaller tiles, an L2 prefetch, and launch overlap. Storing partial results in bf16 was 0.65% faster, but I kept fp32 because it raised the worst error from 0.34 to 0.50 of the tolerance.\n\n**Risk on hidden shapes.** Short chunks are the weak spot. Sq=128 reaches about 1050 TFLOPS against ~1500 on the main shapes. I don't know the expert's speed there; if such a shape is timed, it could fall below the 80% floor. Per the task notes, shorter chunks are checked for correctness only. Longer chunks I tried (Sq=384 to 4096) run at 1400–1560 TFLOPS.\n\nMy development scripts are in `/workspace/dev`; the paired comparison script `ab.py` is the one to use for further tuning."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":843,"cache_read_input_tokens":353025,"cache_creation":{"ephemeral_5m_input_tokens":843,"ephemeral_1h_input_tokens":0},"output_tokens":807,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"150baad0-af53-4541-93d8-2f6edd727504","uuid":"1a93e5fc-e9ad-4828-a200-80f842f6601f","timestamp":"2026-10-18T00:21:21.829Z","request_id":"req_011Cg8kF5iHptE8V3evzEJyZ"}
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That's right at the pass bar, so whether it clears \"≥1.00×\" in the grader's paired run is a coin flip. The vLLM kernel isn't installed here, so I compared against the expert times listed in `task.py`. I timed with an L2 flush; `check.py` reads 5–8% slower because it runs back-to-back without flushing.\n\n| Shape | Mine (µs) | Expert (µs) | Ratio |\n|---|---|---|---|\n| Sq=256, Sk=128K | ~372 | 379 | ~1.02 |\n| Sq=512, Sk=64K | ~361 | 356 | ~0.99 |\n| Sq=512, Sk=128K | ~695–720 | 692 | ~0.96–1.0 |\n| B=2, Sq=256, Sk=64K | ~378–425 | 381 | ~0.9–1.0 |\n\nTimings vary by about ±3% between runs, and more on the B=2 shape (378–425 µs for the same kernel, depending on fresh tensor allocations).\n\n**Correctness.** It passes all four timed shapes and 10 edge shapes (tiny and non-power-of-two sizes). It also passes 12 random shapes and these input types: outliers (80× on q, k or v), large and small magnitudes, zero rows, all-zero q, shifted means, heavy tails, sparse inputs, per-row scale variation, and a ramp input that forces the fallback path. The worst error is about 0.34 of the tolerance. It passes the static check and is about 9 KB.\n\n**What made it fast:**\n- **No accumulator rescaling.** Each row's softmax is computed against a fixed reference: the max of its first KV block. The usual per-step rescale of the output accumulator was an 8× slowdown here. If any row ends up more than 2^20 above its reference, that piece of work is redone with the exact row max, so overflow can't happen.\n- **Split-KV in lockstep groups.** One CTA per query tile, and all query tiles of a KV head walk the same KV range at the same time, so they share K/V reads through L2. A partial group fills all the SMs when the tile count doesn't divide 148; the SM count is now read at runtime.\n- **Cheaper boundaries.** A CTA whose range crosses into a new KV head pays ~8–11 µs extra, so those CTAs are given proportionally less work. Creating the TMA descriptors once also cut each boundary's setup time in half.\n- **Loop structure.** The next QK^T is issued before the current softmax and P·V, with warp specialization, 64-key blocks, 2 stages and 8 warps.\n\n**Why it stops here.** The kernel is now limited by total L2-to-SM bandwidth (~11 TB/s across the GPU). The expert kernel halves that traffic with a two-CTA matrix-multiply mode that Triton's `tl` doesn't expose; `num_ctas=2` crashes the compiler on this kernel. Several other things made no difference or were slower (from −0.4% to −13%), including larger or smaller tiles, an L2 prefetch, and launch overlap. Storing partial results in bf16 was 0.65% faster, but I kept fp32 because it raised the worst error from 0.34 to 0.50 of the tolerance.\n\n**Risk on hidden shapes.** Short chunks are the weak spot. Sq=128 reaches about 1050 TFLOPS against ~1500 on the main shapes. I don't know the expert's speed there; if such a shape is timed, it could fall below the 80% floor. Per the task notes, shorter chunks are checked for correctness only. Longer chunks I tried (Sq=384 to 4096) run at 1400–1560 TFLOPS.\n\nMy development scripts are in `/workspace/dev`; the paired comparison script `ab.py` is the one to use for further tuning.","ttft_ms":2308,"type":"result","duration_ms":3428938,"uuid":"850212c2-41c9-4a67-a455-9e4f5dcd079c","ttft_stream_ms":1127,"time_to_request_ms":84,"first_content_frame_ms":1127,"queued_turn_count":0,"result_index":0}
