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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fuEW6h97FsoDBXBPj7","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01DEeigUdHnznaJivDqXnzZj","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 their contents"},"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":8,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a3339e8f-fa5c-42f4-914b-13100d75ebdf","timestamp":"2026-10-17T23:24:12.559Z","request_id":"req_011Cg8fuEAkad4TbaQeRT7Fv"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01DEeigUdHnznaJivDqXnzZj","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 23:23 ..\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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0b763148-04d0-4567-891a-85a8e8bd28bb","timestamp":"2026-10-17T23:24:12.640Z","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 23:23 ..\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_01DEeigUdHnznaJivDqXnzZj","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01W3zXYbdcanfp5X74UrtCep","type":"tool_result","content":"Sat Oct 17 23:24:13 2026       \n+-----------------------------------------------------------------------------------------+\n| NVIDIA-SMI 610.57.04              KMD Version: 610.57.04     CUDA UMD Version: 13.3     |\n+-----------------------------------------+------------------------+----------------------+\n| GPU  Name                 Persistence-M | Bus-Id          Disp.A | Volatile Uncorr. ECC |\n| Fan  Temp   Perf          Pwr:Usage/Cap |           Memory-Usage | GPU-Util  Compute M. |\n|                                         |                        |               MIG M. |\n|=========================================+========================+======================|\n|   0  NVIDIA B300 SXM6 AC            On  |   00000000:E6:00.0 Off |                    0 |\n| N/A   30C    P0            184W / 1100W |       4MiB / 275040MiB |      0%      Default |\n|                                         |                        |             Disabled |\n+-----------------------------------------+------------------------+----------------------+\n\n+-----------------------------------------------------------------------------------------+\n| Processes:                                                                              |\n|  GPU   GI   CI              PID   Type   Process name                        GPU Memory |\n|        ID   ID                                                               Usage      |\n|=========================================================================================|\n|  No running processes found                                                             |\n+-----------------------------------------------------------------------------------------+\n3.7.1 2.13.0+cu130","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"381d9b0c-310f-4568-b3e5-a9e3213368b9","timestamp":"2026-10-17T23:24:16.866Z","tool_use_result":{"stdout":"Sat Oct 17 23:24:13 2026       \n+-----------------------------------------------------------------------------------------+\n| NVIDIA-SMI 610.57.04              KMD Version: 610.57.04     CUDA UMD Version: 13.3     |\n+-----------------------------------------+------------------------+----------------------+\n| GPU  Name                 Persistence-M | Bus-Id          Disp.A | Volatile Uncorr. ECC |\n| Fan  Temp   Perf          Pwr:Usage/Cap |           Memory-Usage | GPU-Util  Compute M. |\n|                                         |                        |               MIG M. |\n|=========================================+========================+======================|\n|   0  NVIDIA B300 SXM6 AC            On  |   00000000:E6:00.0 Off |                    0 |\n| N/A   30C    P0            184W / 1100W |       4MiB / 275040MiB |      0%      Default |\n|                                         |                        |             Disabled |\n+-----------------------------------------+------------------------+----------------------+\n\n+-----------------------------------------------------------------------------------------+\n| Processes:                                                                              |\n|  GPU   GI   CI              PID   Type   Process name                        GPU Memory |\n|        ID   ID                                                               Usage      |\n|=========================================================================================|\n|  No running processes found                                                             |\n+-----------------------------------------------------------------------------------------+\n3.7.1 2.13.0+cu130","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01W3zXYbdcanfp5X74UrtCep","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fuiwNvQfD3z2HcaLcL","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I should check task_api.py and nodus_autosave.py as well, then estimate the compute requirements: with B=1, Sq=256, Sk=131072, HQ=16, D=256, the QK^T and PV matmuls each come out to roughly 2.75e11 FLOPs, totaling about 5.5e11 FLOPs minimum.\n\nGiven the expert kernel's 379us time, that's ~1.45 PFLOP/s, against a B300 bf16 dense peak around 2.25-2.5 PFLOP/s, so roughly 60% of peak. Checking the other shapes (Sq512/Sk64K, Sq512/Sk128K, B2/Sq256/Sk64K) gives similar throughput figures in the 1.45-1.6 PFLOP/s range, meaning matching this in Triton on Blackwell would be tough — Triton's fused attention tutorial on B200 reportedly hits only around 1.0-1.2 PFLOP/s for head dim 128, and head dim 256 is even harder due to TMEM capacity constraints limiting how the O and S accumulators fit for a given block size.\n\nI'm now considering whether FA4's 2-CTA cluster trick for head dim 256 is something Triton could replicate, but Gluon-level access isn't available given the restricted import list — only standard triton, triton.language, and libdevice modules are permitted, ruling out lower-level Blackwell-specific APIs.\n\nSo I need to work within standard tl.* primitives, like tl.dot, tl.make_tensor_descriptor, and automatic warp specialization via tl.range(warp_specialize=True), which Triton 3.7 supports for Blackwell attention kernels.\n\nNow I'm thinking through split-KV tiling: with GQA packing two query heads per KV head into the M dimension, I could share K/V loads across both heads, halving KV memory traffic relative to FLOPs. I'm working out the arithmetic intensity by comparing bytes moved per KV block against FLOPs performed per block.\n\nComputing that with BM=128, the required bandwidth to sustain 2.25 PF/s is about 17.6 TB/s, which has to mostly come from L2 since multiple M-tiles reuse the same KV data. The total unique KV footprint for a 128K sequence comes out to roughly 1 GB, which at 8 TB/s HBM bandwidth would take about 134 microseconds to load.\n\nThat's about 11 TB/s from L2, which is plausible given B300's L2 bandwidth is likely 20+ TB/s, so this is significant but not necessarily the bottleneck. Ideally I'd order work so M-tiles sharing the same KV range execute concurrently to maximize L2 reuse and minimize HBM traffic. I also want to check the actual SM count on B300 and how Triton lowers bf16 tl.dot to tcgen05.mma with TMEM accumulators on Blackwell.\n\nTracing through the matmul shapes: QK^T produces a 128x128 fp32 score tile in TMEM, which gets loaded into registers for softmax (each thread holding a row across 4 warps), then converted to bf16 for the PV matmul producing a 128x256 fp32 output tile, also living in TMEM via Triton's Blackwell lowering.\n\nThe rescale step `acc = acc * alpha[:, None]` forces a round-trip through registers, which at 128x256 fp32 is expensive — 256 registers per thread with 4 warps, or 128 with 8 warps. FA4 avoids this with conditional rescaling and a dedicated correction warpgroup, which makes me want to check how Triton's own fused-attention tutorial handles warp specialization and M-tile splitting for Blackwell.\n\nGiven the limited time, I should focus on checking the hardware specifics and Triton version capabilities, then design a split-KV flash attention kernel that packs two heads per KV head along the M dimension, taking advantage of adjacent head layout in memory to build 128-wide query tiles efficiently.\n\nTrying a TMA descriptor approach doesn't cleanly express the index mapping, so I'm considering loading a 3D block and reshaping, but that risks a costly layout conversion—simpler might just be to fall back to regular pointer loads for Q since it's only loaded once per program.\n\nFor K and V, I'd use a 2D descriptor over the flattened head dimension, selecting the right head via a column offset. I'm also thinking through split-KV: each program processes a range of KV blocks per M tile, writing partial unnormalized outputs and LSE values, then combining them in a separate kernel afterward.\n\nWorking out the tiling numbers now — with B=1 and Sq=256, I get 32 M tiles total, and I need to pick a split count so the total programs divide evenly across the 148 SMs, like 37 splits giving 1184 programs. But checking SMEM budget, two pipeline stages of K and V tiles would need 256 KB, which exceeds the ~227 KB per-block limit on B300, so I'll need to rethink the staging.\n\nDropping to BN=64 brings total shared memory down to 192 KB (Q plus two K/V stages), which fits. I'm also considering how FA4's 2-CTA MMA mode for head-dim 256 splits work: each CTA handles half the M rows of Q, while the K/V tile's N dimension gets divided between the two cooperating CTAs.\n\nI'm now uncertain whether Triton actually exposes this 2-CTA cluster mode for tl.dot on Blackwell -- it might require Gluon-level tcgen05 control rather than being a simple flag, so I should check the installed Triton source to confirm before committing to this approach given the time constraint.\n\nGiven limited time, my practical plan is: check what Triton's installed version actually supports (warp_specialize, tensor descriptors, num_ctas), adapt the Blackwell fused attention tutorial into a split-KV kernel for D=256 with GQA packing, tune block sizes and stages, then add a combine kernel. I should also check the SM count on this hardware and pull up the tutorial code.\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":12330,"cache_read_input_tokens":18006,"cache_creation":{"ephemeral_5m_input_tokens":12330,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3ee3e0e4-0d39-4472-9425-cc3610cc3be4","timestamp":"2026-10-17T23:25:03.838Z","request_id":"req_011Cg8fuiYa34FnZKBkmNbGh","thinking_duration_ms":43619,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fuiwNvQfD3z2HcaLcL","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01HDYbWTuLhMEMZ3pga1U28z","name":"Bash","input":{"command":"cat task_api.py; sed -n 1,200p nodus_autosave.py | head -50; python -c \"\nimport torch\np = torch.cuda.get_device_properties(0)\nprint(p)\nprint(p.multi_processor_count, p.L2_cache_size if hasattr(p,'L2_cache_size') else '')\n\"","description":"Show task API 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":12330,"cache_read_input_tokens":18006,"cache_creation":{"ephemeral_5m_input_tokens":12330,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ff8a0d50-4beb-4127-83cd-450d8b50736a","timestamp":"2026-10-17T23:25:03.842Z","request_id":"req_011Cg8fuiYa34FnZKBkmNbGh"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fuiwNvQfD3z2HcaLcL","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01V3XXmjUvEsKSH3y7Gtctph","name":"Bash","input":{"command":"python -c \"import triton, os; print(os.path.dirname(triton.__file__))\"; ls $(python -c \"import triton, os; print(os.path.dirname(triton.__file__))\"); find / -name \"*fused*attention*\" -path \"*triton*\" 2>/dev/null | head; find / -path /proc -prune -o -name \"*.py\" -path \"*tutorials*\" -print 2>/dev/null | head","description":"Locate Triton install and tutorials"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":12330,"cache_read_input_tokens":18006,"cache_creation":{"ephemeral_5m_input_tokens":12330,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1e870f8d-d23e-497d-bd20-25431b2d0a99","timestamp":"2026-10-17T23:25:04.699Z","request_id":"req_011Cg8fuiYa34FnZKBkmNbGh"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01HDYbWTuLhMEMZ3pga1U28z","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_CudaDeviceProperties(name='NVIDIA B300 SXM6 AC', major=10, minor=3, total_memory=274101MB, multi_processor_count=148, uuid=abb3107b-688c-3cb5-044e-b80bc417e9fa, pci_bus_id=230, pci_device_id=0, pci_domain_id=0, L2_cache_size=126MB)\n148 132644864","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c9250efa-218e-4cec-8bc6-441934295628","timestamp":"2026-10-17T23:25:06.027Z","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_CudaDeviceProperties(name='NVIDIA B300 SXM6 AC', major=10, minor=3, total_memory=274101MB, multi_processor_count=148, uuid=abb3107b-688c-3cb5-044e-b80bc417e9fa, pci_bus_id=230, pci_device_id=0, pci_domain_id=0, L2_cache_size=126MB)\n148 132644864","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01HDYbWTuLhMEMZ3pga1U28z","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"task_started","task_id":"bkknfwr1f","run_id":"0mvd0xzxs-17dc350a","tool_use_id":"toolu_01V3XXmjUvEsKSH3y7Gtctph","description":"Locate Triton install and tutorials","is_backgrounded":false,"task_type":"local_bash","uuid":"acb3ce62-ae9b-45d2-b991-065f2579b6e7","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bkknfwr1f","run_id":"0mvd0xzxs-17dc350a","tool_use_id":"toolu_01V3XXmjUvEsKSH3y7Gtctph","status":"completed","output_file":"","summary":"Locate Triton install and tutorials","uuid":"a8aa923d-d218-4dc4-b133-a91e15ae2188","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01V3XXmjUvEsKSH3y7Gtctph","type":"tool_result","content":"/usr/local/lib/python3.12/dist-packages/triton\nFileCheck\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","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"fb460be5-0761-480e-84c3-423c7c94ad34","timestamp":"2026-10-17T23:25:10.605Z","tool_use_result":{"stdout":"/usr/local/lib/python3.12/dist-packages/triton\nFileCheck\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","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01V3XXmjUvEsKSH3y7Gtctph","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":4,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c66b691a-0182-4282-8d23-fd6d46a07a26"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":7,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8da4e9a6-3826-41e1-9caa-88f9df839309"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":11,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0638a7dd-0dbd-41e7-b77e-38c3dccdba14"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":13,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"da5c7d70-016e-4f9f-91dd-db2ad79b8218"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a82786ea-b47e-49de-971b-71645a03fd70"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":23,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"fbae43e5-4cd2-4338-a6ce-9fbf63b9c524"}
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List[ir.value], cursor: int) -> Tuple[tuple, int]:\n785:            value, cursor = ty._unflatten_ir(handles, cursor)\n884:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n1326:    def _flatten_ir(self, handles: List[ir.value]):\n1328:            v._flatten_ir(handles)\n1348:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[tensor_descriptor_base, int]:\n1352:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n1384:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n1470:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[tensor_descriptor_base, int]:\n1473:        shape, cursor = self.shape_type._unflatten_ir(handles, cursor)\n1474:        strides, cursor = self.strides_type._unflatten_ir(handles, cursor)\n1480:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n1481:        super()._flatten_ir_types(builder, out)\n1482:        self.shape_type._flatten_ir_types(builder, out)\n1483:        self.strides_type._flatten_ir_types(builder, out)\n1507:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n1509:        self.shape._flatten_ir(handles)\n1510:        self.strides._flatten_ir(handles)\n1529:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[ir.value, int]:\n1532:            value, cursor = ty._unflatten_ir(handles, cursor)\n1536:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n1538:            ty._flatten_ir_types(builder, out)\n1586:        def _flatten_ir(self, handles: List[ir.value]) -> None:\n1588:                getattr(self, name)._flatten_ir(handles)\n3288:            for i in tl.range(10, num_stages=3):\n3295:    :param num_stages: pipeline the loop into this many stages (so there are\n3296:        :code:`num_stages` iterations of the loop in flight at once).\n3298:        Note this is subtly different than passing :code:`num_stages` as a\n3302:    :param loop_unroll_factor: Tells the Triton IR level loop unroller how many\n3305:    :param disallow_acc_multi_buffer: If true, prevent the accumulator of the dot\nbackends/nvidia/compiler.py:108:    num_ctas: int = 1\nbackends/nvidia/compiler.py:186:        if args.get(\"num_ctas\", 1) > 1 and capability < 90:\nbackends/nvidia/compiler.py:187:            raise ValueError((f\"num_ctas > 1 requires NVIDIA SM90+ (Hopper). \"\nbackends/nvidia/compiler.py:189:                              f\"Please set num_ctas=1 or target an SM90+ GPU.\"))\nbackends/nvidia/compiler.py:211:            metadata.num_ctas,\nbackends/nvidia/compiler.py:260:        passes.ttir.add_convert_to_ttgpuir(pm, f\"cuda:{capability}\", opt.num_warps, 32, opt.num_ctas)\nbackends/nvidia/compiler.py:358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"482190c7-97c5-486c-84b7-bd44af6677ae","timestamp":"2026-10-17T23:25:17.112Z","tool_use_result":{"stdout":"149:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n164:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[base_value, int]:\n174:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n199:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n202:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[base_value, int]:\n223:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n574:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n635:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[base_value, int]:\n772:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]):\n774:            ty._flatten_ir_types(builder, out)\n782:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[tuple, int]:\n785:            value, cursor = ty._unflatten_ir(handles, cursor)\n884:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n1326:    def _flatten_ir(self, handles: List[ir.value]):\n1328:            v._flatten_ir(handles)\n1348:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[tensor_descriptor_base, int]:\n1352:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n1384:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n1470:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[tensor_descriptor_base, int]:\n1473:        shape, cursor = self.shape_type._unflatten_ir(handles, cursor)\n1474:        strides, cursor = self.strides_type._unflatten_ir(handles, cursor)\n1480:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n1481:        super()._flatten_ir_types(builder, out)\n1482:        self.shape_type._flatten_ir_types(builder, out)\n1483:        self.strides_type._flatten_ir_types(builder, out)\n1507:    def _flatten_ir(self, handles: List[ir.value]) -> None:\n1509:        self.shape._flatten_ir(handles)\n1510:        self.strides._flatten_ir(handles)\n1529:    def _unflatten_ir(self, handles: List[ir.value], cursor: int) -> Tuple[ir.value, int]:\n1532:            value, cursor = ty._unflatten_ir(handles, cursor)\n1536:    def _flatten_ir_types(self, builder: ir.builder, out: List[ir.type]) -> None:\n1538:            ty._flatten_ir_types(builder, out)\n1586:        def _flatten_ir(self, handles: List[ir.value]) -> None:\n1588:                getattr(self, name)._flatten_ir(handles)\n3288:            for i in tl.range(10, num_stages=3):\n3295:    :param num_stages: pipeline the loop into this many stages (so there are\n3296:        :code:`num_stages` iterations of the loop in flight at once).\n3298:        Note this is subtly different than passing :code:`num_stages` as a\n3302:    :param loop_unroll_factor: Tells the Triton IR level loop unroller how many\n3305:    :param disallow_acc_multi_buffer: If true, prevent the accumulator of the dot\nbackends/nvidia/compiler.py:108:    num_ctas: int = 1\nbackends/nvidia/compiler.py:186:        if args.get(\"num_ctas\", 1) > 1 and capability < 90:\nbackends/nvidia/compiler.py:187:            raise ValueError((f\"num_ctas > 1 requires NVIDIA SM90+ (Hopper). \"\nbackends/nvidia/compiler.py:189:                              f\"Please set num_ctas=1 or target an SM90+ GPU.\"))\nbackends/nvidia/compiler.py:211:            metadata.num_ctas,\nbackends/nvidia/compiler.py:260:        passes.ttir.add_convert_to_ttgpuir(pm, f\"cuda:{capability}\", opt.num_warps, 32, opt.num_ctas)\nbackends/nvidia/compiler.py:358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)","stderr":"\nShell cwd was reset to 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fzAoEuKPBFa9CDeYFV","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01E4BK156jwiLKbq8pMiZTmW","name":"Bash","input":{"command":"cd /usr/local/lib/python3.12/dist-packages/triton; sed -n 3270,3340p language/core.py; sed -n 240,420p backends/nvidia/compiler.py","description":"Read tl.range docs and NVIDIA compiler pipeline"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2241,"cache_read_input_tokens":38838,"cache_creation":{"ephemeral_5m_input_tokens":2241,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c9e19ea6-5b74-4172-8c5c-becb73278879","timestamp":"2026-10-17T23:25:19.460Z","request_id":"req_011Cg8fzACXBTR5SfTbFPsAC"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01E4BK156jwiLKbq8pMiZTmW","type":"tool_result","content":"            self.end = arg2\n\n    def __iter__(self):\n        raise RuntimeError(\"static_range can only be used in @triton.jit'd functions\")\n\n    def __next__(self):\n        raise RuntimeError(\"static_range can only be used in @triton.jit'd functions\")\n\n\nclass range(base_value):\n    \"\"\"\n    Iterator that counts upward forever.\n\n    .. highlight:: python\n    .. code-block:: python\n\n        @triton.jit\n        def kernel(...):\n            for i in tl.range(10, num_stages=3):\n                ...\n    :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        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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8ea7e9c9-35d3-46ad-960e-587e1e14312c","timestamp":"2026-10-17T23:25:19.492Z","tool_use_result":{"stdout":"            self.end = arg2\n\n    def __iter__(self):\n        raise RuntimeError(\"static_range can only be used in @triton.jit'd functions\")\n\n    def __next__(self):\n        raise RuntimeError(\"static_range can only be used in @triton.jit'd functions\")\n\n\nclass range(base_value):\n    \"\"\"\n    Iterator that counts upward forever.\n\n    .. highlight:: python\n    .. code-block:: python\n\n        @triton.jit\n        def kernel(...):\n            for i in tl.range(10, num_stages=3):\n                ...\n    :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        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_01E4BK156jwiLKbq8pMiZTmW","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":3,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2d115a4d-124e-454c-a104-fa93d4ba9516"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":8,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"36647139-c06e-4d1a-b310-69aff041af1a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":14,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"460bc458-93c4-4da8-bfaa-f8240d001546"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":19,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d226678e-e2eb-4f84-bcc7-51f16a03afbe"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":23,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7ec2ef4d-1842-4dba-ae01-252c6b314b51"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":28,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a298a45b-e938-499c-8f86-a372e888d999"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":32,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"4a8c28d4-03da-4624-9a89-4c08cf111d42"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":36,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"106063f2-9245-48ef-aa0c-f0b694e9c1c6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":40,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"9ecfac8d-46e1-48d4-b461-04c6bc72d1fa"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":50,"estimated_tokens_delta":10,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5462a7aa-e209-4f73-b1fc-5248809ef6a3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":55,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"6f2bf6a7-86f9-4d9b-91c6-7bc72fee5a8a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":58,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7974d743-ea0e-4f52-9467-049f4bc9bedb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":59,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c8e9300a-a805-462d-a50a-d2bd9e28e745"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":237,"estimated_tokens_delta":178,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"34d6c2e5-71d9-4852-a95d-c01bd957aa72"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fzLdb5vDsFNRawVLNo","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"There's an `add_check_matmul_two_cta` function suggesting Triton 3.7 supports 2-CTA matmul in some form. I should search for \"two_ctas\" in the language module and compiler options to see how tl.dot can request 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":5270,"cache_read_input_tokens":41079,"cache_creation":{"ephemeral_5m_input_tokens":5270,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a5bf385d-d0cb-4cd9-8d56-af42c5991d3e","timestamp":"2026-10-17T23:25:23.778Z","request_id":"req_011Cg8fzLJFVMufdMrpFFvg3","thinking_duration_ms":1976,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fzLdb5vDsFNRawVLNo","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01LfGPQs8s3R3TPTWoM5WMXt","name":"Bash","input":{"command":"cd /usr/local/lib/python3.12/dist-packages/triton; grep -rn \"two_cta\\|twoCTA\\|two-cta\\|ctas_per_cga\\|cluster_dims\\|cluster\" language/*.py backends/nvidia/compiler.py runtime/*.py compiler/*.py 2>/dev/null | head -30; sed -n 95,140p backends/nvidia/compiler.py","description":"Search for two-CTA and cluster support"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5270,"cache_read_input_tokens":41079,"cache_creation":{"ephemeral_5m_input_tokens":5270,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"88c12adc-eadc-4e93-9122-4fbe64f93d7e","timestamp":"2026-10-17T23:25:24.324Z","request_id":"req_011Cg8fzLJFVMufdMrpFFvg3"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01LfGPQs8s3R3TPTWoM5WMXt","type":"tool_result","content":"runtime/autotuner.py:313:    :ivar num_ctas: number of blocks in a block cluster. SM90+ only.\nbackends/nvidia/compiler.py:358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\n    with open(path, \"rb\") as f:\n        return hashlib.sha256(f.read()).hexdigest()\n\n\ndef sm_arch_from_capability(capability: int):\n    # 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, \\\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c6b9405c-255b-4b51-83c6-fd1ca80080fd","timestamp":"2026-10-17T23:25:24.378Z","tool_use_result":{"stdout":"runtime/autotuner.py:313:    :ivar num_ctas: number of blocks in a block cluster. SM90+ only.\nbackends/nvidia/compiler.py:358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\n    with open(path, \"rb\") as f:\n        return hashlib.sha256(f.read()).hexdigest()\n\n\ndef sm_arch_from_capability(capability: int):\n    # 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, \\","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01LfGPQs8s3R3TPTWoM5WMXt","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fzhbujQuYcEQSqevxi","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"There's no explicit two-CTA flag in the API, just num_ctas for cluster size, and I'm unsure whether Triton auto-applies 2-CTA MMA on Blackwell for large M, so I won't rely on that initially. I'll start by drafting a first version based on the known Triton Blackwell attention tutorial pattern.\n\nWriting the inner attention loop...\n\nStill writing kernel logic...\n\nUpdating the running max and sum stats before advancing the key/value offsets and returning the accumulated output, then looking at autotuning configs for non-Hopper hardware sweeping block sizes, stages, and warps, with Blackwell needing its own variant.\n\nThere's also a persistent warp-specialized kernel variant, plus Blackwell-specific pruning logic that filters configs down to those with 4 warps when head dim is 128, along with a subtiling trick for rescaling the accumulator in halves. For head dim 256 on Blackwell, I'm noting how the S and O tensors map into TMEM with their respective column widths.\n\nWith multi-buffering of the accumulator for pipelining, total TMEM usage could reach 512 columns. The per-thread register pressure for the rescale operation depends heavily on warp count -- with 4 warps, holding the full 128x256 fp32 accumulator per thread risks spilling, while splitting across 8 warps (two warp groups) cuts each thread's share roughly in half, though it's still substantial.\n\nAn alternative worth considering is conditional rescaling, skipping the rescale step unless the running max shifts by more than some threshold like 8 in log2 space, since the final normalization still uses the same stale max consistently for both the sum and accumulator. The risk is overflow in the exponential term, but staying within bf16/fp32 range should be safe up to that threshold; the tricky part is implementing this as a uniform branch in Triton, since it requires reducing the max shift across the whole tile into a scalar before branching.\n\nRather than keep reasoning abstractly, I think it's better to just write a benchmark harness that times candidate kernels across the four target shapes and computes TFLOP/s, then decide based on actual Triton compiler behavior on Blackwell for hd256. I'm sketching a first design: a grid organized by M-tiles and KV splits, with GQA-packed query tiles, where each program loads a block of Q rows and iterates over its assigned KV splits.\n\nWriting Triton kernel structure...\n\nI'm weighing the query packing strategy: loading Q similarly to K/V via descriptors versus plain pointer loads with masking, and estimating the total memory traffic (roughly 75 MB across ~1184 programs, mostly cached in L2). I'm also reconsidering whether to pack two heads sharing a KV head into one tile versus running them as separate programs, since the latter doubles KV loads.\n\nActually, comparing the two approaches more carefully, I realize L2-to-SMEM traffic per FLOP is identical either way since each program still loads one KV tile per 128 rows of compute regardless of packing. So the packing choice only affects how causal masking is structured, not the actual memory bandwidth per unit of work.\n\nWhat really determines the FLOP-to-byte ratio is BM, the number of query rows processed per KV tile load. I'm working out the bytes-loaded-versus-FLOPs-computed ratio for a given tile configuration to check if we're compute-bound or bandwidth-bound per SM.\n\nScaling that per-SM bandwidth requirement across all 148 SMs gives a total L2-to-SM bandwidth demand that's uncertain against Blackwell's actual L2 bandwidth — I don't have solid numbers for B200 versus Hopper's roughly 5.5-10 TB/s. This ambiguity suggests L2 bandwidth could genuinely bottleneck hd256 configurations, which likely explains why FA4 uses 2-CTA mode there: splitting the KV tile load across two CTAs and using tcgen05's multicast MMA effectively halves the bandwidth burden per CTA.\n\nGiven the time pressure, I decide to just get a baseline kernel running rather than keep measuring. I start writing the split attention forward kernel, setting up the Triton JIT function signature with pointers for Q, K, V, partial outputs, and block/head parameters.\n\nI'm also thinking through the grid ordering to maximize L2 cache locality — with 148 SMs and one CTA per SM, arranging the grid so consecutive programs share KV ranges across m-tiles should keep concurrent blocks reading overlapping memory.\n\nFor split counts: with 1024 total KV blocks per (b, h) and 32 tiles, I want total program count to divide evenly into waves of 148. Picking 37 splits gives exactly 1184 programs (8 waves), but each split handles roughly 27-28 blocks, causing a small ~3.6% imbalance — which makes me consider a persistent stream-K style kernel instead, where 148 programs each take a contiguous chunk of work items to balance things more evenly.\n\nFor causal masking, I'm working out that each query tile only needs keys up to a certain cutoff point determined by its position, so I need to figure out which KV blocks are fully visible versus partially masked for each tile.\n\nFor the combine kernel, I need each row to read S partial outputs and log-sum-exp values, then merge them, but storing all those fp32 partials across splits adds up to around 151MB of HBM traffic, which is a meaningful overhead to account for.\n\nSwitching partial O storage to bf16 would roughly halve that cost, and checking the error budget suggests bf16's ~0.2% relative rounding error stays comfortably within the 0.5%-of-magnitude tolerance, especially since the final output is bf16 anyway and adds similar rounding regardless.\n\nNow I'm figuring out the split factor needed given 148 SMs and 64 m-tiles for Sq=512, Sk=64K, B=1 — trying to find a split count S where occupancy stays high across wave boundaries. Testing S=16 gives about 6.92 waves, rounding up to 7 waves for roughly 98.8% efficiency, while S=7 lands around 3.03 waves which wastes most of an extra wave.\n\nI'm then weighing the memory cost of writing partial outputs: at S=16, writing out partial O tiles adds about 134MB in fp32, which against the 512MB of KV traffic for a 64K context is a meaningful but not dominant addition — the combine kernel reading that back would only take about 19us, roughly 5% of the total 356us budget, suggesting a persistent stream-K style split might be worth exploring instead.\n\nA persistent kernel assigning contiguous chunks of linearized work to 148 programs would cross tile boundaries only a few times, so for T=64 tiles I estimate roughly 3.3 partial segments per tile, cutting partial storage down to about 27MB — far better than the 134MB figure. For smaller T=32 tiles the segment count rises to around 5.6 per tile, so I'm working out whether that tradeoff still holds.\n\nBut then I realize stream-K's tile-major linearization means concurrently running programs end up handling the same tile at different KV offsets rather than sharing KV blocks, so there's essentially no cross-program L2 reuse — each KV block gets re-read by every m-tile sharing that head, multiplying HBM traffic by T/HKV unless L2 can hold the whole thing. Checking the numbers for Sk=128K: KV per head balloons to 128MB against a 126MB L2, so total KV traffic from HBM comes out to roughly 4GB, which at 7.5TB/s bandwidth is about 533us — a cost that's starting to look prohibitive.\n\nI need a KV-major work ordering instead: group work by (bh, kv block) so all m-tiles for a given head process that block together, keeping it hot in L2. But if m-tile is the fastest-varying index, each program ends up reloading a new Q tile every iteration instead, which is also wasteful.\n\nSo I'm considering splitting the KV range into chunks and looping all m-tiles over each chunk before moving to the next, or assigning the grid as (m_tiles_per_bh, S, B*HKV) with m-tile as the fastest dimension so that a wave of concurrent programs naturally shares the same KV block.\n\nFor the partial-output combine step, I could store partials in bf16 to halve the traffic, or fold the combine into the kernel itself using an atomic counter so the last finishing program does it, skipping a separate kernel launch. But that still leaves the partial traffic itself, so maybe the real fix is reducing the split factor S by giving each program more work while keeping total programs near a single wave size.\n\nThe actual bottleneck is wave quantization. I'm thinking of total work as T*NB block-iterations split across P=148 persistent programs, with work ordered by batch-head, then KV chunk, then M-tile so concurrently running programs share the same KV range, linearized into a single index that each program slices contiguously.\n\nRunning the numbers for Sq=512, Sk=64K, BN=128 gives 32768 total blocks divided among 148 programs, which doesn't divide evenly—so each program ends up handling segments that span across chunk boundaries, effectively creating a stream-K style partial-output scheme where split segments need combining afterward.\n\nSince all 148 programs run concurrently at the same pace, the same KV block gets read at different offsets by different tiles, meaning the time gap between reuses of a block can span the kernel's full duration—so L2 would need to retain a very large working window to capture that reuse, which seems impractical.\n\nEfficiency equals programs divided by 148 divided by the ceiling of that ratio, so I can tune S to push this near 1 at the cost of extra partial-output traffic. Running the numbers for Sq=256, Sk=128K gives 1184 programs filling 8 waves exactly, with partial traffic adding roughly 7.5-15% depending on precision — mostly hidden since the kernel is compute-bound, though the combine step adds some overhead. I'm checking whether S can be halved to an integer value for further tuning.\n\nInstead of a separate combine pass, I'm considering a last-block-does-reduction approach: each program writes its partial result and atomically increments a per-tile counter, and whichever program observes the final count performs the reduction itself, reading partials likely still resident in L2 — avoiding an extra kernel launch entirely.\n\nThe tricky part is the counter needs resetting between calls without violating the \"no caching between calls\" rule, so I'd need a per-call zeroed buffer rather than a persistent module-level one, accepting the small memset kernel cost.\n\nA separate combine kernel is probably cleaner and safer despite the extra launch cost — maybe 22 us reading 155 MB of fp32 partials from HBM, about 6% overhead. Switching to bf16 partials could cut that bandwidth cost in half.\n\nI'm also considering reducing the split count instead, picking S values that land closer to full wave utilization (e.g. S=18 giving 97.3% efficiency), or enlarging the tile to BM=256, though that runs into TMEM lane limits with Triton's MMA scheduling.\n\nSo BM=128 per CTA ends up being the practical max given D=256. I'm working out the TMEM budget (S:128 cols, O:256 cols, 384 total, 512 with double-buffering) and now checking SMEM usage for Q and K tiles.\n\nWith BN=128, double-buffering K/V would exceed SMEM (320 KB), so only single-buffering works there — but BN=64 allows two-stage pipelining within 192 KB, which looks like the better choice. That changes the per-iteration matmul shapes to QK^T at 128x64x256 and PV at 128x256x64.\n\nNow I'm estimating MMA throughput per SM for a B300-class chip: roughly 4096 MACs/clk, meaning a 128x128x256 QK MMA takes about 1024 clocks, and the matching PV MMA another 1024, so each 128-wide KV block costs ~2048 clocks of tensor core work. I'm also factoring in the softmax cost — 16384 exponentials per block — against the special-function unit throughput to see whether softmax or MMA work dominates the critical path.\n\nSince the MMA cost outweighs the exp cost for head-dim 256, I'm reasoning softmax isn't the bottleneck as long as it's overlapped with matmuls, which requires warp specialization or ping-ponging between tiles — Triton's warp_specialize=True splits load/MMA/softmax into separate partitions so MMA for iteration i+1 can run concurrently with softmax for iteration i, provided the intermediate scores are double-buffered.\n\nThat said, the PV accumulation for each iteration still depends on the softmax output and the correction factor applied to the running output, which means reading and rewriting a large fp32 output tile through registers on every step — a costly round trip given how many values each thread must load, scale, and store back.\n\nI'm thinking about implementing FA4's conditional rescaling trick to avoid this overhead: only rescale the accumulator when the running max actually shifts significantly, skipping the correction step otherwise. I'm sketching out the logic for checking whether the max increased enough to warrant rescaling before applying the exponential correction to the accumulator and normalization terms.\n\nI'll start simple to verify correctness first, then try variants: a plain loop with TMA descriptors and fixed block sizes, a warp-specialized version, and one with conditional rescaling. I also want a benchmark script that times candidate kernels across the four shapes with L2 flush like the grader, computing TFLOP/s against the expert baselines, plus a split-selection heuristic based on batch and sequence lengths. Writing Triton kernel setup...\n\nWriting split attention kernel...\n\nStill computing block ranges...\n\nI'm reasoning through the batch boundary edge case: keys loaded past Sk actually belong to the next batch, but since they get masked to -inf in the scores, multiplying by V values is safe as long as those values are finite, which they are. To be extra safe though, I'm considering using a 3D descriptor shaped per-batch so out-of-bounds reads are properly zero-filled instead of accidentally reading adjacent batch data.\n\nI'm also checking whether extreme input magnitudes could cause overflow in the score computation — with large q/k values, the dot product sum could approach the fp32 limit, so I need to verify the scaling keeps things within safe bf16/fp32 range.\n\nSwitching to the log2-domain softmax, I need to track the running max in log2 space using the scale factor combined with log2(e). I also need to handle the edge case where a causal split leaves some rows with zero visible keys entirely within that block's range.\n\nI'm structuring the key-block loop so fully unmasked blocks skip the mask check, and only the tail blocks near the causal boundary apply masking per row.\n\nFor output storage I'll keep per-split results unnormalized in fp32, saving both the normalized value and a log-domain lse (using -inf for empty splits), then have a separate combine kernel that reads all splits' lse per row, takes the max for numerical stability, reweights with exp2, and sums before casting the final result to bf16.\n\nNow that the indexing logic between query rows and split tiles is worked out, I should move on to writing the benchmark harness.\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":1363,"cache_read_input_tokens":46349,"cache_creation":{"ephemeral_5m_input_tokens":1363,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformatio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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fzhbujQuYcEQSqevxi","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Given the B300's specs and Triton's limitations with 2-CTA MMA, I'll implement a split-KV kernel using BM=128 tiles with packed GQA heads, TMA for K/V, and a separate combine pass. Next I'll build the benchmark harness.\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":1363,"cache_read_input_tokens":46349,"cache_creation":{"ephemeral_5m_input_tokens":1363,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1d8af720-77b6-43ac-90b3-b023f87f924a","timestamp":"2026-10-17T23:27:42.438Z","request_id":"req_011Cg8fzhF4pR3yj5jdz74AE","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fzhbujQuYcEQSqevxi","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01EzY7F9krfen5N18StkUQJF","name":"Bash","input":{"command":"mkdir -p /workspace/dev && cat > /workspace/dev/bench.py << 'EOF'\nimport sys, importlib.util, math, torch\nsys.path.insert(0, '/workspace')\nimport task as T\n\ndef load(path):\n    spec = importlib.util.spec_from_file_location('cand', path)\n    m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m); return m\n\nEXPERT = {(1,256,131072): 379, (1,512,65536): 356, (1,512,131072): 692, (2,256,65536): 381}\nflush = torch.empty(512*1024*1024, dtype=torch.int8, device='cuda')\n\ndef time_it(fn, args, n=20):\n    for _ in range(2): 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(); torch.cuda.synchronize()\n        ts.append(s.elapsed_time(e) * 1000)\n    ts.sort(); return ts[n // 2]\n\ndef main():\n    path = sys.argv[1]\n    check = '--nocheck' not in sys.argv\n    m = 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    extra = [a for a in sys.argv[2:] if a.startswith('shape=')]\n    if extra:\n        shapes = []\n        for a in extra:\n            B, Sq, Sk = map(int, a[6:].split(','))\n            shapes.append(dict(B=B, Sq=Sq, Sk=Sk))\n    ratios = []\n    for sh in shapes:\n        case = T.make_case(sh, 1, 'cuda')\n        if check:\n            exp = T.reference([a.clone() for a in case.args])\n            case.args[3].fill_(float('nan'))\n            m.kernel_fn(*case.args); torch.cuda.synchronize()\n            ok, st = T.check({3: case.args[3]}, exp)\n            del exp\n        else:\n            ok, st = True, {}\n        t = time_it(m.kernel_fn, case.args)\n        flops = 4 * sh['B'] * sh['Sq'] * 16 * 256 * (sh['Sk'] - sh['Sq'] / 2)\n        key = (sh['B'], sh['Sq'], sh['Sk'])\n        ex = EXPERT.get(key)\n        r = ex / t if ex else float('nan')\n        if ex: ratios.append(r)\n        print(f\"{key}: {'ok' if ok else 'WRONG ' + str(st)} {t:8.1f} us  {flops / t / 1e6:7.1f} TFLOP/s  vs expert {r:.3f}\", flush=True)\n    if ratios:\n        print('geomean vs expert:', math.exp(sum(map(math.log, ratios)) / len(ratios)))\n\nmain()\nEOF\necho done","description":"Write benchmark harness with L2 flush"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1363,"cache_read_input_tokens":46349,"cache_creation":{"ephemeral_5m_input_tokens":1363,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"dc1b5251-e1d7-4bb8-9672-36a2a5a7abf7","timestamp":"2026-10-17T23:27:48.647Z","request_id":"req_011Cg8fzhF4pR3yj5jdz74AE"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01EzY7F9krfen5N18StkUQJF","type":"tool_result","content":"done","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"51a21f88-88f2-476e-b785-007d06c6e84a","timestamp":"2026-10-17T23:27:48.673Z","tool_use_result":{"stdout":"done","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01EzY7F9krfen5N18StkUQJF","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gBLWhg4aEMNoJ8mfzT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Let me start drafting 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":15589,"cache_read_input_tokens":47712,"cache_creation":{"ephemeral_5m_input_tokens":15589,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e7f816ae-676b-4d34-bea9-0eb04a446a4b","timestamp":"2026-10-17T23:27:55.894Z","request_id":"req_011Cg8gBL8P7Uda9iRRKgT1q","thinking_duration_ms":981,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gBLWhg4aEMNoJ8mfzT","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01FpGACRzkoa14ewLMr9Z6su","name":"Write","input":{"file_path":"/workspace/dev/v1.py","content":"import torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Lp, Sq, Sk, n_splits, bps, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n               BM: tl.constexpr, BN: tl.constexpr, WS: tl.constexpr):\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    b = pid_bh // HKV\n    hk = pid_bh % HKV\n    QPT: tl.constexpr = BM // G\n    q0 = pid_m * QPT\n    rows = tl.arange(0, BM)\n    qi = q0 + rows // G\n    hh = hk * G + rows % G\n    rd = tl.arange(0, D)\n    qmask = qi < Sq\n    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n    q = tl.load(Q + q_off[:, None] + rd[None, :], mask=qmask[:, None], other=0.0)\n\n    shift = Sk - Sq\n    kv_end = shift + tl.minimum(q0 + QPT, Sq)\n    n_blocks = tl.cdiv(kv_end, BN)\n    lo = pid_s * bps\n    hi = tl.minimum(lo + bps, n_blocks)\n    full = (shift + q0 + 1) // BN\n    mid = tl.maximum(tl.minimum(full, hi), lo)\n\n    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    row0 = b * Sk\n    col0 = hk * D\n\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    for j in tl.range(lo, mid, warp_specialize=WS):\n        k = k_desc.load([row0 + j * BN, col0])\n        s = tl.dot(q, k.T) * qk_scale\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        p = tl.math.exp2(s - 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([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    rn = tl.arange(0, BN)\n    for j in range(mid, hi):\n        k = k_desc.load([row0 + j * BN, col0])\n        s = tl.dot(q, k.T) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qi)[:, 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.math.exp2(s - m_safe[:, None])\n        alpha = tl.math.exp2(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    o = acc / l_safe[:, None]\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + rd[None, :], o)\n    tl.store(Lp + prow, lse)\n\n\n@triton.jit\ndef _combine(Op, Lp, Out, Sq, n_splits, n_mt, n_bh,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr, BM: tl.constexpr,\n             SP: tl.constexpr, R: tl.constexpr):\n    # one program per R output rows (b, qi, h) flattened\n    pid = tl.program_id(0)\n    r = pid * R + tl.arange(0, R)\n    h = r % HQ\n    t = r // HQ\n    qi = t % Sq\n    b = t // Sq\n    hk = h // G\n    QPT: tl.constexpr = BM // G\n    pm = qi // QPT\n    rr = (qi % QPT) * G + h % G\n    base = ((b * HKV + hk) * n_mt + pm).to(tl.int64) * BM + rr    # row index within split 0\n    stride_s = n_bh * n_mt * BM\n    sp = tl.arange(0, SP)\n    smask = sp < n_splits\n    lse = tl.load(Lp + base[:, None] + sp[None, :].to(tl.int64) * stride_s, mask=smask[None, :], other=float('-inf'))\n    mx = tl.max(lse, 1)\n    mx_safe = tl.where(mx == float('-inf'), 0.0, mx)\n    w = tl.math.exp2(lse - mx_safe[:, None])\n    wsum = tl.sum(w, 1)\n    w = w / tl.where(wsum == 0.0, 1.0, wsum)[:, None]\n    rd = tl.arange(0, D)\n    acc = tl.zeros((R, D), tl.float32)\n    for s in range(n_splits):\n        ws = tl.sum(tl.where(sp[None, :] == s, w, 0.0), 1)\n        o = tl.load(Op + (base + s * stride_s)[:, None] * D + rd[None, :])\n        acc += ws[:, None] * o\n    tl.store(Out + r.to(tl.int64)[:, None] * D + rd[None, :], acc.to(tl.bfloat16))\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, out):\n    triton.set_allocator(_alloc)\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM, BN = 128, 64\n    QPT = BM // G\n    n_mt = triton.cdiv(Sq, QPT)\n    n_bh = B * HKV\n    tiles = n_mt * n_bh\n    nb = triton.cdiv(Sk, BN)\n    n_sm = 148\n    # choose splits: aim for ~ waves * n_sm programs\n    best = None\n    for s in range(1, 129):\n        bps = triton.cdiv(nb, s)\n        s_eff = triton.cdiv(nb, bps)\n        progs = tiles * s_eff\n        waves = triton.cdiv(progs, n_sm)\n        cost = waves * bps + 2 * s_eff * 0.5\n        if best is None or cost < best[0]:\n            best = (cost, s_eff, bps)\n    _, n_splits, bps = best\n    Op = torch.empty((n_splits * tiles * BM, D), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_splits * tiles * BM,), device=q.device, dtype=torch.float32)\n    _fwd_split[(n_mt, n_splits, n_bh)](q, k, v, Op, Lp, Sq, Sk, n_splits, bps, (D ** -0.5) * 1.4426950408889634,\n                                       HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, WS=False, num_warps=8, num_stages=2)\n    R = 16\n    SP = triton.next_power_of_2(n_splits)\n    _combine[(triton.cdiv(B * Sq * HQ, R),)](Op, Lp, out, Sq, n_splits, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM,\n                                             SP=SP, R=R, 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":15589,"cache_read_input_tokens":47712,"cache_creation":{"ephemeral_5m_input_tokens":15589,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a9241ee1-30c9-47c1-aeca-acd6ae1117cf","timestamp":"2026-10-17T23:28:16.671Z","request_id":"req_011Cg8gBL8P7Uda9iRRKgT1q"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01FpGACRzkoa14ewLMr9Z6su","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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"93387fde-cfeb-4ab0-8c61-25347f9226bc","timestamp":"2026-10-17T23:28:16.687Z","tool_use_result":{"type":"create","filePath":"/workspace/dev/v1.py","content":"import torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Lp, Sq, Sk, n_splits, bps, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n               BM: tl.constexpr, BN: tl.constexpr, WS: tl.constexpr):\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    b = pid_bh // HKV\n    hk = pid_bh % HKV\n    QPT: tl.constexpr = BM // G\n    q0 = pid_m * QPT\n    rows = tl.arange(0, BM)\n    qi = q0 + rows // G\n    hh = hk * G + rows % G\n    rd = tl.arange(0, D)\n    qmask = qi < Sq\n    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n    q = tl.load(Q + q_off[:, None] + rd[None, :], mask=qmask[:, None], other=0.0)\n\n    shift = Sk - Sq\n    kv_end = shift + tl.minimum(q0 + QPT, Sq)\n    n_blocks = tl.cdiv(kv_end, BN)\n    lo = pid_s * bps\n    hi = tl.minimum(lo + bps, n_blocks)\n    full = (shift + q0 + 1) // BN\n    mid = tl.maximum(tl.minimum(full, hi), lo)\n\n    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    row0 = b * Sk\n    col0 = hk * D\n\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    for j in tl.range(lo, mid, warp_specialize=WS):\n        k = k_desc.load([row0 + j * BN, col0])\n        s = tl.dot(q, k.T) * qk_scale\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        p = tl.math.exp2(s - 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([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    rn = tl.arange(0, BN)\n    for j in range(mid, hi):\n        k = k_desc.load([row0 + j * BN, col0])\n        s = tl.dot(q, k.T) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qi)[:, 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.math.exp2(s - m_safe[:, None])\n        alpha = tl.math.exp2(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    o = acc / l_safe[:, None]\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + rd[None, :], o)\n    tl.store(Lp + prow, lse)\n\n\n@triton.jit\ndef _combine(Op, Lp, Out, Sq, n_splits, n_mt, n_bh,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr, BM: tl.constexpr,\n             SP: tl.constexpr, R: tl.constexpr):\n    # one program per R output rows (b, qi, h) flattened\n    pid = tl.program_id(0)\n    r = pid * R + tl.arange(0, R)\n    h = r % HQ\n    t = r // HQ\n    qi = t % Sq\n    b = t // Sq\n    hk = h // G\n    QPT: tl.constexpr = BM // G\n    pm = qi // QPT\n    rr = (qi % QPT) * G + h % G\n    base = ((b * HKV + hk) * n_mt + pm).to(tl.int64) * BM + rr    # row index within split 0\n    stride_s = n_bh * n_mt * BM\n    sp = tl.arange(0, SP)\n    smask = sp < n_splits\n    lse = tl.load(Lp + base[:, None] + sp[None, :].to(tl.int64) * stride_s, mask=smask[None, :], other=float('-inf'))\n    mx = tl.max(lse, 1)\n    mx_safe = tl.where(mx == float('-inf'), 0.0, mx)\n    w = tl.math.exp2(lse - mx_safe[:, None])\n    wsum = tl.sum(w, 1)\n    w = w / tl.where(wsum == 0.0, 1.0, wsum)[:, None]\n    rd = tl.arange(0, D)\n    acc = tl.zeros((R, D), tl.float32)\n    for s in range(n_splits):\n        ws = tl.sum(tl.where(sp[None, :] == s, w, 0.0), 1)\n        o = tl.load(Op + (base + s * stride_s)[:, None] * D + rd[None, :])\n        acc += ws[:, None] * o\n    tl.store(Out + r.to(tl.int64)[:, None] * D + rd[None, :], acc.to(tl.bfloat16))\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, out):\n    triton.set_allocator(_alloc)\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM, BN = 128, 64\n    QPT = BM // G\n    n_mt = triton.cdiv(Sq, QPT)\n    n_bh = B * HKV\n    tiles = n_mt * n_bh\n    nb = triton.cdiv(Sk, BN)\n    n_sm = 148\n    # choose splits: aim for ~ waves * n_sm programs\n    best = None\n    for s in range(1, 129):\n        bps = triton.cdiv(nb, s)\n        s_eff = triton.cdiv(nb, bps)\n        progs = tiles * s_eff\n        waves = triton.cdiv(progs, n_sm)\n        cost = waves * bps + 2 * s_eff * 0.5\n        if best is None or cost < best[0]:\n            best = (cost, s_eff, bps)\n    _, n_splits, bps = best\n    Op = torch.empty((n_splits * tiles * BM, D), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_splits * tiles * BM,), device=q.device, dtype=torch.float32)\n    _fwd_split[(n_mt, n_splits, n_bh)](q, k, v, Op, Lp, Sq, Sk, n_splits, bps, (D ** -0.5) * 1.4426950408889634,\n                                       HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, WS=False, num_warps=8, num_stages=2)\n    R = 16\n    SP = triton.next_power_of_2(n_splits)\n    _combine[(triton.cdiv(B * Sq * HQ, R),)](Op, Lp, out, Sq, n_splits, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM,\n                                             SP=SP, R=R, num_warps=4)\n","structuredPatch":[],"originalFile":null,"userModified":false},"tool_result_meta":[{"id":"toolu_01FpGACRzkoa14ewLMr9Z6su","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011eWGdFR6fbA9ztvu2yxSNN","type":"tool_result","content":"(1, 256, 131072): ok    948.2 us    579.2 TFLOP/s  vs expert 0.400\n(1, 512, 65536): ok    993.2 us    551.3 TFLOP/s  vs expert 0.358\n(1, 512, 131072): ok   1738.8 us    631.1 TFLOP/s  vs expert 0.398\n(2, 256, 65536): ok   1014.8 us    540.7 TFLOP/s  vs expert 0.375\ngeomean vs expert: 0.38250322213542015","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"260042de-9d0d-4beb-9ff8-59005871074c","timestamp":"2026-10-17T23:28:49.281Z","tool_use_result":{"stdout":"(1, 256, 131072): ok    948.2 us    579.2 TFLOP/s  vs expert 0.400\n(1, 512, 65536): ok    993.2 us    551.3 TFLOP/s  vs expert 0.358\n(1, 512, 131072): ok   1738.8 us    631.1 TFLOP/s  vs expert 0.398\n(2, 256, 65536): ok   1014.8 us    540.7 TFLOP/s  vs expert 0.375\ngeomean vs expert: 0.38250322213542015","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011eWGdFR6fbA9ztvu2yxSNN","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gFofwvnuDcdQgeqpr4","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"This gets 0.38x expert performance, which is correct, so I'll save it as solution.py now before trying other variants like WS=True.\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":612,"cache_read_input_tokens":66583,"cache_creation":{"ephemeral_5m_input_tokens":612,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"6b231c6e-1237-4578-9892-9ed3e73bf01f","timestamp":"2026-10-17T23:28:52.103Z","request_id":"req_011Cg8gFoK7Q29JeWYa8yvuY","thinking_duration_ms":1517,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014kzzXQnxYtdYRxhBQoaaUz","type":"tool_result","content":"    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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3f823cdd-548e-4248-b040-7ca6e0c58ba6","timestamp":"2026-10-17T23:28:55.810Z","tool_use_result":{"stdout":"    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_014kzzXQnxYtdYRxhBQoaaUz","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_0186zXExoknmcWN3DeYzJSWu","type":"tool_result","content":"python: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/TypeSupport.h:173: const AbstractType &mlir::TypeStorage::getAbstractType(): Assertion `abstractType && \"Malformed type storage object.\"' failed.\nmodule {\n}\n\n{-#\n#-}\n/workspace/dev/v1.py:9:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v1.py:9:0: note: Pipeline failed while executing [`TritonGPUHoistTMEMAlloc` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"94e44d6b-8ffb-4a29-99af-040beddb03e4","timestamp":"2026-10-17T23:29:01.374Z","tool_use_result":{"stdout":"python: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/TypeSupport.h:173: const AbstractType &mlir::TypeStorage::getAbstractType(): Assertion `abstractType && \"Malformed type storage object.\"' failed.\nmodule {\n}\n\n{-#\n#-}\n/workspace/dev/v1.py:9:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v1.py:9:0: note: Pipeline failed while executing [`TritonGPUHoistTMEMAlloc` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_0186zXExoknmcWN3DeYzJSWu","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gKxxAFU2FVzSNboAR1","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"BN=64, NW=8, NS=2 comes out best at 952us, though without warp specialization the softmax and MMA stages stay mostly serialized despite Triton's pipelining overlapping loads with compute. I'm estimating the per-iteration cost breakdown, starting with the QK matmul cycles for BN=64.\n\nAdding up PV MMA, softmax exp throughput, and the TMEM accumulator rescale, I get roughly 2000 clocks per iteration, but back-calculating from the measured 948us and iteration count gives closer to 4000 clocks -- roughly double my estimate, suggesting something unexpected is slow, possibly the TMEM rescale path or the P-to-SMEM layout conversion needed for the PV matmul's operand, plus associated fences. I'm considering options like conditional rescaling to skip unnecessary work when possible.\n\nThinking through the implementation: only trigger the rescale when the max shift exceeds a threshold, otherwise skip the acc/l_i multiply entirely, since early on alpha would just be zero anyway when m_i starts at -infinity.\n\nI'm worried about NaNs when a row is fully masked—both maxes being -infinity makes the difference NaN, so tl.max could behave unpredictably there. I think it's safer to just keep the unconditional rescale for the masked loop case rather than try to optimize it with the conditional check.\n\nWorking through the main loop, the first block is always unmasked since m_i starts at -infinity, so the rescale factor cleanly becomes zero via exp2(-inf). Then I'm checking whether, without warp specialization, Triton's software pipeliner could still overlap matrix multiplies across iterations by issuing QK ahead of schedule.\n\nI'm not sure if that's what Triton's async MMA pipelining actually does automatically with TMEM double-buffering, so I'll skip overanalyzing it and just try implementing the conditional rescale approach first since it's quicker to test.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gKxxAFU2FVzSNboAR1","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01NvqFGz3GQwdpAbzsvYYD67","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('v1p.py').read()\nold = \"\"\"        s = tl.dot(q, k.T) * qk_scale\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        p = tl.math.exp2(s - 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([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    rn\"\"\"\nnew = \"\"\"        s = tl.dot(q, k.T) * qk_scale\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        if tl.max(m_new - m_i, 0) > 8.0:\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        p = tl.math.exp2(s - m_i[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n    rn\"\"\"\nassert old in src\nsrc = src.replace(old, new)\nopen('v2p.py','w').write(src)\nEOF\nfor cfg in \"BN=64 NW=8 NS=2\" \"BN=128 NW=8 NS=1\" \"BN=32 NW=8 NS=3\" \"BN=64 NW=4 NS=2\"; do echo \"== $cfg\"; env $cfg timeout 600 python bench.py v2p.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -E \"us|Error|error\" | head -3; done","description":"Test conditional rescaling variant"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1198,"cache_read_input_tokens":69174,"cache_creation":{"ephemeral_5m_input_tokens":1198,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3efe9108-4fc7-4ef3-9a67-00cf40eb9fc0","timestamp":"2026-10-17T23:30:06.105Z","request_id":"req_011Cg8gKxZrCmbfuMgE8PHNQ"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01NvqFGz3GQwdpAbzsvYYD67","type":"tool_result","content":"== BN=64 NW=8 NS=2\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed\n== BN=128 NW=8 NS=1\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed\n== BN=32 NW=8 NS=3\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed\n== BN=64 NW=4 NS=2\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8856d08a-0f50-4cf3-bf74-aa0db62f8bc2","timestamp":"2026-10-17T23:30:22.230Z","tool_use_result":{"stdout":"== BN=64 NW=8 NS=2\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed\n== BN=128 NW=8 NS=1\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed\n== BN=32 NW=8 NS=3\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed\n== BN=64 NW=4 NS=2\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v2p.py:10:0: error: Failures have been detected while processing an MLIR pass pipeline\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01NvqFGz3GQwdpAbzsvYYD67","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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Since QK for the next iteration doesn't actually depend on PV from the current one, there should be room for Triton to overlap them if the pipelining is set up right.\n\nEstimating the TMA traffic per iteration (two 32 KB tiles for K and V) against the measured cycle count suggests something around 4.6 TB/s of L2 bandwidth per SM across all 148 SMs, which could be near the actual L2 bandwidth ceiling — that would explain the slowdown and point toward needing larger per-load tile sizes or TMA multicast across a cluster as the fix. I want to verify this by writing a quick benchmark kernel where many programs repeatedly read the same large region from L2 to measure its real 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gSUudqpbWg5gKrt5p3","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Bandwidth isn't the bottleneck here—L2 and HBM have plenty of headroom, so the issue is that MMA and softmax run serialized. I'll inspect the compiled IR next.\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":2291,"cache_read_input_tokens":74939,"cache_creation":{"ephemeral_5m_input_tokens":2291,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"dd6bd3c0-81bc-40bb-af19-c7e98fb04519","timestamp":"2026-10-17T23:31:22.028Z","request_id":"req_011Cg8gSUZJLUGAJT856gvvZ","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gSUudqpbWg5gKrt5p3","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_014G5G2kamZFL8Ha5yHcXnkf","name":"Bash","input":{"command":"cat > /workspace/dev/dump.py << 'EOF'\nimport sys, os, importlib.util, torch\nsys.path.insert(0, '/workspace')\nimport task as T\nspec = importlib.util.spec_from_file_location('cand', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\ncase = T.make_case(dict(B=1, Sq=256, Sk=8192), 1, 'cuda')\nm.kernel_fn(*case.args); torch.cuda.synchronize()\nkern = getattr(m, sys.argv[2])\nfor key, ck in kern.device_caches[0][0].items():\n    print('regs', ck.n_regs, 'spills', ck.n_spills, 'shared', ck.metadata.shared, 'warps', ck.metadata.num_warps)\n    open('/workspace/dev/dump.ttgir', 'w').write(ck.asm['ttgir'])\n    open('/workspace/dev/dump.ptx', 'w').write(ck.asm['ptx'])\nEOF\nenv BN=64 NW=8 NS=2 timeout 300 python dump.py v2p.py _fwd_split 2>&1 | tail -3; grep -c \"tcgen05.mma\" dump.ptx; grep -n \"scf.for\\|tc_gen5_mma\\|tmem_load\\|tmem_store\\|local_alloc\\|async_tma_copy\\|wait_barrier\\|scf.if\" dump.ttgir | head -60","description":"Dump compiled TTGIR/PTX and register stats"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2291,"cache_read_input_tokens":74939,"cache_creation":{"ephemeral_5m_input_tokens":2291,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e91b8f22-2017-4570-92f2-a2f7ff72ad7c","timestamp":"2026-10-17T23:31:24.262Z","request_id":"req_011Cg8gSUZJLUGAJT856gvvZ"}
{"type":"system","subtype":"task_started","task_id":"b9nu3x1zb","run_id":"0mvd163si-1e5239c1","tool_use_id":"toolu_014G5G2kamZFL8Ha5yHcXnkf","description":"Dump compiled TTGIR/PTX and register stats","is_backgrounded":false,"task_type":"local_bash","uuid":"19a223dc-cd0f-42ab-8624-4117d65811c9","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014G5G2kamZFL8Ha5yHcXnkf","type":"tool_result","content":"regs 252 spills 0 shared 197184 warps 8\n112\n110:    %q_43 = ttg.local_alloc %q_42 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc167)\n139:    ttng.tmem_store %cst_0, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc188)\n140:    %acc_55 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n145:    %acc_58 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n150:    %k = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n151:    %v = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n152:    %acc_61 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n157:    %acc_64 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n168:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_69, %col0] %k_70, %acc_62, %acc_67 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n171:    ttng.wait_barrier %acc_62, %c0_i32, %acc_67 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n174:    ttng.tc_gen5_mma %q_43, %s_71, %s_74, %false, %acc_67, %acc_56[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc194)\n177:    ttng.async_tma_copy_global_to_local %v_desc_54[%k_69, %col0] %v_75, %acc_65, %acc_67 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n183:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_77, %col0] %k_78, %acc_63, %acc_73 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n186:    ttng.wait_barrier %acc_56, %c0_i32, %acc_67 deps %q_43, %s_71 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc194)\n187:    %s_82 = ttng.tmem_load %s_74 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc194)\n205:    %acc_85 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc188)\n206:    %5:2 = scf.if %3 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n222:    ttng.wait_barrier %acc_65, %c0_i32, %acc_67 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n225:    ttng.tmem_store %acc_89, %acc_90, %acc_67 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc188)\n226:    ttng.tmem_store %5#1, %acc, %acc_67 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc188)\n227:    ttng.tc_gen5_mma %acc_90, %v_75, %acc, %true, %acc_67, %acc_59[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc188)\n228:    ttng.wait_barrier %acc_63, %c0_i32, %acc_73 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n230:    ttng.tc_gen5_mma %q_43, %s_79, %s_74, %false, %acc_73, %acc_57[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc194)\n233:    ttng.async_tma_copy_global_to_local %v_desc_54[%k_77, %col0] %v_91, %acc_66, %acc_73 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n237:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_93, %col0] %k_70, %acc_62, %acc_81 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n240:    %acc_95:15 = scf.for %acc_177 = %lo to %acc_94 step %c1_i32 iter_args(%acc_178 = %acc_84, %arg12 = %cst_9, %arg13 = %c1_i32, %arg14 = %c0_i32, %arg15 = %c0_i32, %arg16 = %c1_i32, %p_179 = %p_88, %arg18 = %5#0, %acc_180 = %acc_57, %arg20 = %c0_i32, %s_181 = %s_79, %acc_182 = %acc_59, %arg23 = %c0_i32, %v_183 = %v_75, %k_184 = %k_93) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, i32, i32, i32, i32, tensor<128x64xf32, #linear>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable>, i32, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable>, i32, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, i32)  : i32 {\n251:      ttng.wait_barrier %acc_180, %arg20, %true deps %q_43, %s_181 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc194)\n252:      %s_190 = ttng.tmem_load %s_74 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc194)\n270:      ttng.wait_barrier %acc_182, %arg23 deps %acc_90, %v_183 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n272:      %acc_194 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc188)\n273:      %23:2 = scf.if %21 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n290:      ttng.wait_barrier %acc_199, %arg15, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n293:      ttng.tmem_store %acc_201, %acc_90, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc188)\n294:      ttng.tmem_store %23#1, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc188)\n296:      ttng.tc_gen5_mma %acc_90, %v_200, %acc, %true, %true, %acc_202[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc188)\n303:      ttng.wait_barrier %acc_208, %acc_207, %acc_188 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n307:      ttng.tc_gen5_mma %q_43, %s_210, %s_74, %false, %acc_188, %acc_211[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc194)\n311:      ttng.async_tma_copy_global_to_local %v_desc_54[%k_184, %col0] %v_213, %acc_212, %acc_188 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n323:      ttng.async_tma_copy_global_to_local %k_desc_53[%k_221, %col0] %k_223, %acc_222, %acc_186 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n326:    %acc_96 = scf.if %acc_67 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>) {\n333:      ttng.wait_barrier %acc_95#11, %acc_95#12 deps %acc_90, %acc_95#13 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n357:    %acc_100 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n362:    %acc_103 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n367:    %k_106 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc215)\n368:    %v_107 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc216)\n369:    %acc_108 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n374:    %acc_111 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n385:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_116, %col0] %k_117, %acc_109, %acc_114 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc215)\n388:    ttng.wait_barrier %acc_109, %c0_i32, %acc_114 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc274)\n391:    ttng.tc_gen5_mma %q_43, %s_118, %s_121, %false, %acc_114, %acc_101[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc219)\n394:    ttng.async_tma_copy_global_to_local %v_desc_54[%k_116, %col0] %v_122, %acc_112, %acc_114 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc216)\n400:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_124, %col0] %k_125, %acc_110, %acc_120 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc215)\n403:    ttng.wait_barrier %acc_101, %c0_i32, %acc_114 deps %q_43, %s_118 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc219)\n409:    %s_133 = ttng.tmem_load %s_121 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc219)\n430:    ttng.wait_barrier %acc_112, %c0_i32, %acc_114 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc274)\n433:    ttng.tmem_store %acc_148, %acc_149, %acc_114 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc236)\n434:    %acc_150 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc236)\n436:    ttng.tmem_store %acc_151, %acc, %acc_114 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc236)\n437:    ttng.tc_gen5_mma %acc_149, %v_122, %acc, %true, %acc_114, %acc_104[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc236)\n438:    ttng.wait_barrier %acc_110, %c0_i32, %acc_120 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc274)","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c68edeba-df58-428b-8d03-de5212593398","timestamp":"2026-10-17T23:31:28.635Z","tool_use_result":{"stdout":"regs 252 spills 0 shared 197184 warps 8\n112\n110:    %q_43 = ttg.local_alloc %q_42 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc167)\n139:    ttng.tmem_store %cst_0, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc188)\n140:    %acc_55 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n145:    %acc_58 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n150:    %k = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n151:    %v = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n152:    %acc_61 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n157:    %acc_64 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc271)\n168:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_69, %col0] %k_70, %acc_62, %acc_67 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n171:    ttng.wait_barrier %acc_62, %c0_i32, %acc_67 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n174:    ttng.tc_gen5_mma %q_43, %s_71, %s_74, %false, %acc_67, %acc_56[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc194)\n177:    ttng.async_tma_copy_global_to_local %v_desc_54[%k_69, %col0] %v_75, %acc_65, %acc_67 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n183:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_77, %col0] %k_78, %acc_63, %acc_73 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n186:    ttng.wait_barrier %acc_56, %c0_i32, %acc_67 deps %q_43, %s_71 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc194)\n187:    %s_82 = ttng.tmem_load %s_74 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc194)\n205:    %acc_85 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc188)\n206:    %5:2 = scf.if %3 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n222:    ttng.wait_barrier %acc_65, %c0_i32, %acc_67 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n225:    ttng.tmem_store %acc_89, %acc_90, %acc_67 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc188)\n226:    ttng.tmem_store %5#1, %acc, %acc_67 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc188)\n227:    ttng.tc_gen5_mma %acc_90, %v_75, %acc, %true, %acc_67, %acc_59[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc188)\n228:    ttng.wait_barrier %acc_63, %c0_i32, %acc_73 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n230:    ttng.tc_gen5_mma %q_43, %s_79, %s_74, %false, %acc_73, %acc_57[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc194)\n233:    ttng.async_tma_copy_global_to_local %v_desc_54[%k_77, %col0] %v_91, %acc_66, %acc_73 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n237:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_93, %col0] %k_70, %acc_62, %acc_81 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n240:    %acc_95:15 = scf.for %acc_177 = %lo to %acc_94 step %c1_i32 iter_args(%acc_178 = %acc_84, %arg12 = %cst_9, %arg13 = %c1_i32, %arg14 = %c0_i32, %arg15 = %c0_i32, %arg16 = %c1_i32, %p_179 = %p_88, %arg18 = %5#0, %acc_180 = %acc_57, %arg20 = %c0_i32, %s_181 = %s_79, %acc_182 = %acc_59, %arg23 = %c0_i32, %v_183 = %v_75, %k_184 = %k_93) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, i32, i32, i32, i32, tensor<128x64xf32, #linear>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable>, i32, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable>, i32, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, i32)  : i32 {\n251:      ttng.wait_barrier %acc_180, %arg20, %true deps %q_43, %s_181 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc194)\n252:      %s_190 = ttng.tmem_load %s_74 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc194)\n270:      ttng.wait_barrier %acc_182, %arg23 deps %acc_90, %v_183 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n272:      %acc_194 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc188)\n273:      %23:2 = scf.if %21 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n290:      ttng.wait_barrier %acc_199, %arg15, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n293:      ttng.tmem_store %acc_201, %acc_90, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc188)\n294:      ttng.tmem_store %23#1, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc188)\n296:      ttng.tc_gen5_mma %acc_90, %v_200, %acc, %true, %true, %acc_202[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc188)\n303:      ttng.wait_barrier %acc_208, %acc_207, %acc_188 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc271)\n307:      ttng.tc_gen5_mma %q_43, %s_210, %s_74, %false, %acc_188, %acc_211[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc194)\n311:      ttng.async_tma_copy_global_to_local %v_desc_54[%k_184, %col0] %v_213, %acc_212, %acc_188 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc191)\n323:      ttng.async_tma_copy_global_to_local %k_desc_53[%k_221, %col0] %k_223, %acc_222, %acc_186 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc190)\n326:    %acc_96 = scf.if %acc_67 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>) {\n333:      ttng.wait_barrier %acc_95#11, %acc_95#12 deps %acc_90, %acc_95#13 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n357:    %acc_100 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n362:    %acc_103 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n367:    %k_106 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc215)\n368:    %v_107 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc216)\n369:    %acc_108 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n374:    %acc_111 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc274)\n385:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_116, %col0] %k_117, %acc_109, %acc_114 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc215)\n388:    ttng.wait_barrier %acc_109, %c0_i32, %acc_114 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc274)\n391:    ttng.tc_gen5_mma %q_43, %s_118, %s_121, %false, %acc_114, %acc_101[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc219)\n394:    ttng.async_tma_copy_global_to_local %v_desc_54[%k_116, %col0] %v_122, %acc_112, %acc_114 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc216)\n400:    ttng.async_tma_copy_global_to_local %k_desc_53[%k_124, %col0] %k_125, %acc_110, %acc_120 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc215)\n403:    ttng.wait_barrier %acc_101, %c0_i32, %acc_114 deps %q_43, %s_118 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc219)\n409:    %s_133 = ttng.tmem_load %s_121 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc219)\n430:    ttng.wait_barrier %acc_112, %c0_i32, %acc_114 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc274)\n433:    ttng.tmem_store %acc_148, %acc_149, %acc_114 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc236)\n434:    %acc_150 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc236)\n436:    ttng.tmem_store %acc_151, %acc, %acc_114 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc236)\n437:    ttng.tc_gen5_mma %acc_149, %v_122, %acc, %true, %acc_114, %acc_104[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc236)\n438:    ttng.wait_barrier %acc_110, %c0_i32, %acc_120 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc274)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_014G5G2kamZFL8Ha5yHcXnkf","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":3,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2e7469a4-93fe-4877-816b-a79a27d60b6b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":8,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"af9be687-a248-42a4-9e5a-a13648b0e0cd"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":9,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"06d97348-85e7-4ca8-8eb4-10c8ccc54b4f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":16,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5add29d3-79bb-476f-81c0-4069e09eb9c7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"eee85099-c793-4765-8636-aade7057de56"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":26,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"12a2f283-3c8a-40db-991a-2728966089ee"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":30,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"65552aa5-20a4-435b-89d4-5bef312f4189"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":36,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"71116c0b-51e3-4c5d-adaa-61870c6f0cac"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gTYuGyT9ABpjtvuS7d","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I notice the tmem_load of acc actually sits outside the scf.if, so the acc gets loaded from and stored back to TMEM every iteration regardless of the branch condition — the conditional rescale isn't actually saving that round trip. There's also a wait_barrier forcing the previous PV MMA to finish before the load, which serializes iterations.\n\nTracing the full dependency chain, each iteration has to wait for QK, run softmax, wait for the prior PV, do the acc load/rescale/store, then issue the next PV and QK — meaning QK(i+1) gets queued behind PV(i) on the tensor core and softmax(i+1) can't start until that resolves. Estimating the serialized cost per iteration comes out around 2000 clocks plus latencies, but the measured ~3900 clocks suggests the real bottleneck is even worse, so I'm thinking about whether a software pipelining trick could create overlap without warp specialization.\n\nI'm sketching restructuring the loop so QK for the next block gets issued right after softmax of the current block, hoping the compiler's async MMA lowering recognizes the result isn't needed until the following iteration and inserts the wait barrier at that later point rather than immediately.\n\nThe Blackwell pipeliner does handle MMA latency across iterations, which suggests warp specialization is the better path forward here. Given that WS with two loops failed in TMEM hoisting but single-loop WS compiled slowly at num_warps=4, I should try num_warps=8 for the single loop WS case and watch for register spills.\n\nFor the causal masking issue, I'm weighing options: branching inside the WS loop body might break specialization, so applying the mask unconditionally (accepting the extra compare-and-select ALU cost) seems safest to test first rather than trying to split out the tail blocks separately.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gVdgZsPw5imF7GLoFx","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Automatic warp specialization with 8 warps is actually slower than without it here, so Triton's built-in WS isn't suited to this workload. I'm considering a manual restructuring inspired by FA3's intra-warpgroup overlapping on Hopper, where the next QK GEMM is issued asynchronously while softmax for the current iteration runs.\n\nI'm weighing whether splitting into two independent 64-row M sub-tiles per program could allow ping-ponging like FA4, but M=64 tiles likely halve tensor core throughput on tcgen05 for Blackwell, making that approach unattractive. Instead I'm sketching a manually software-pipelined loop where the next score matrix is computed asynchronously while softmax and the PV accumulation for the current tile proceed in parallel.\n\nI'm tracing through the actual TTGIR schedule: it already issues QK(i+1) right after PV(i) and defers loading its result to the next iteration, but QK(i+1) ends up queued behind PV(i) on the tensor pipe, so softmax(i+1) stalls waiting for both, which then stalls PV(i+1) -- leaving the tensor core idle during softmax. To fix this I'm considering double-buffering S so that QK(i+2) can be issued before softmax(i+1) even starts.\n\nGiven that, I'm checking whether scheduling QK two iterations ahead keeps the tensor core continuously fed with PV(i-1)+QK(i+1) work while softmax(i) runs, and whether that fits within the TMEM budget for two S buffers plus the accumulator. Now I'm sketching a manually unrolled loop with explicit lookahead to force this scheduling by hand.\n\nKeeping those registers alive across iterations forces an immediate tmem_load right after the MMA wait, unless the scheduler can defer it to actual first use in the following iteration, which is tricky to control. I'm considering whether letting the pipeliner handle staging via num_stages would help, since its latency assignment for the MMA already pushes consumers into the next stage, matching the current one-stage-ahead issue pattern for QK.\n\nI'm also wondering if reducing the cost of softmax itself would help more than scheduling tricks, since the per-iteration overhead (~3900 clks vs 1024 for the MMA) seems dominated by softmax work and the accumulator round trip through TMEM, which alone could cost on the order of 1024 clks given TMEM bandwidth limits. Cutting down that round trip looks like the biggest potential win.\n\nThe compiler seems forced into a load-before/store-after pattern around the rescale because Triton treats the accumulator as a register value, so wrapping the multiply in a conditional always triggers a full TMEM round trip. I'm now considering whether folding the rescale into the MMA itself, or instead applying it to P rather than the accumulator, could sidestep this entirely.\n\nKeeping a fixed reference max per row avoids constant rescaling, but risks overflow if the actual max drifts too far from it — I'm weighing a threshold-based correction that only rescales when the drift exceeds a factor of 256, and whether nesting the loop into epochs with a fixed reference max per epoch could let the inner loop skip the TMEM round trip, though Triton's lack of break statements complicates early exit when a block's max grows too large.\n\nA two-pass approach — computing row maxes first, then doing the real accumulation — is too costly since it inflates total QK FLOPs by 25%. A cheap upper-bound estimate from |q| and max |k| is too loose and risks underflowing all exponentials to zero, so I'm now considering a coarser chunk-level max estimate instead.\n\nGoing back to the accumulator itself: if I avoid rescaling acc inside the loop entirely and just keep accumulating with a fixed per-split reference max, the compiler can leave acc resident in TMEM across iterations without round-tripping. The risk is that later blocks could have scores far exceeding that fixed reference, causing the exponentials to overflow float32 range.\n\nSince bf16 and fp32 share the same 8-bit exponent, that's not the limiting factor — what matters is keeping s_max minus the reference under roughly 100 in log2 units so the accumulated sum of exponentials times v doesn't blow up. Estimating typical score statistics (std ~16 for q·k, scaled into log2 units), the max over 128K keys lands around 6.5 log2 units above the mean, so I'm checking whether the first block alone gives a safe enough reference.\n\nBut for outlier-heavy data — rows with scales off by orders of magnitude — the logits can spike enormously, pushing differences well past the safe range and causing overflow unless there's a fallback. I'm considering a hybrid approach: keep a fixed reference per row, but trigger an expensive rescale whenever a block's max exceeds that reference by too much, though the compiler hoisting the tmem_load out of that conditional branch is the real obstacle.\n\nI realize the HoistTMEMAlloc pass is converting the loop-carried accumulator into a TMEM buffer and inserting loads/stores around any non-MMA use, and since the conditional counts as a non-MMA use, it forces a load before and a store after regardless of which branch executes. I'm now wondering whether reformulating the rescale as a matmul-like operation, so it reads as an MMA use instead, could avoid triggering that hoist.\n\nActually, maybe the trick is to let P values drift above 1 rather than forcing an immediate rescale: only trigger the expensive acc rescale when the running max moves enough to risk overflow, say beyond a threshold of 8 bits. That makes rescaling rare for typical data, though adversarial inputs with steadily increasing scores could still force it fairly often. The real challenge is making that TMEM round trip conditional rather than unconditional on every update.\n\nStill sketching the epoch loop structure...\n\nI'm realizing the issue: Triton's pipeliner likely won't handle while loops the same way as for loops, meaning no TMA prefetch and synchronous loads, which kills performance. I need to think about restructuring with a fixed-size inner for loop instead, though masking out overflowing blocks isn't straightforward since we can't simply skip a block once it exceeds the threshold.\n\nI'm now considering a cheap pre-pass to bound the max score per row/split using vector norms, so overflow becomes mathematically impossible rather than something we detect at runtime—checking whether bf16's wide exponent range keeps the resulting probability values representable even with a generous bound.\n\nBut for inputs with large magnitudes, the Cauchy-Schwarz-style bound can overshoot the actual max by so much that the probability underflows to zero entirely, breaking the softmax sum. So this bounding trick isn't safe in general and needs a fallback, which pushes me toward exploring a periodic rescaling approach instead.\n\nWithin a fixed-reference chunk, I'd need to detect overflow cases where the shifted exponent exceeds a threshold, and if so, flag that chunk to be redone with a proper reference — accepting the rare expense for adversarial distributions where row scales vary drastically.\n\nImplementing the redo path is tricky since Triton lacks break/while, but I can wrap the slow-path recomputation in an `if` around the inner for loop over blocks, accepting the code-size tradeoff for correctness when outlier keys push scores far above the running max.\n\nThe real issue is the accumulator gets polluted once overflow happens, so I'd need to snapshot acc before each chunk to roll back — but that's a full round trip per chunk anyway. Batching this per chunk of C blocks rather than per block still cuts the overhead significantly, and maintaining a separate per-chunk accumulator might sidestep the save/restore problem entirely.\n\nI'm weighing the TMEM budget: two full accumulators (main + chunk) blow past the 512-column limit for D=256, but splitting acc_main into registers and acc_chunk into TMEM might fit — merging them at chunk boundaries via a scaled combine, with a fallback recompute path if overflow is flagged.\n\nChecking register pressure, roughly 200 regs/thread across 8 warps should still fit within the 255-register cap. I'm now sketching the outer loop over chunks, tracking a per-row reference max for the running softmax.\n\nFor the first chunk there's no prior reference, so I'd need to seed it from the first block's row max. Within each chunk I'm accumulating partial sums and the dot-product output while tracking the chunk's max, then checking after the loop whether the max drifted too far from the reference -- if so, falling back to the slow path to recompute safely.\n\nActually checking whether overflow is a real risk: with reasonable thresholds like T=64, bf16's huge dynamic range comfortably absorbs the exponentiated values and the accumulated sums stay well under fp32 limits, so the real concern is underflow on rows where the reference is far above the true max, which is correct behavior as long as the reference stays close enough to the true max.\n\nNow I'm thinking about how to handle the very first chunk, since there's no reference max yet. The approach is to peel off the first block, compute its max to establish the initial reference, then loop over the chunks normally including reprocessing block 0 (a small redundant cost, roughly 1 extra matmul per split).\n\nThen the merge step at the end of each chunk rescales the running accumulator and normalizer against the new combined max, updating the reference max for the next chunk so it stays aligned with the running max going forward.\n\nIf overflow happens because the chunk's max deviates too far from the reference, I need a fallback: recompute that chunk with the standard per-block online-softmax loop, resetting its local accumulator, max, and normalizer, then merging using its own local max instead of the shared reference. This slow path is rare but necessary for correctness when the fast chunked approach risks overflow.\n\nI also need to figure out how the compiler handles an accumulator produced by either branch — since the merge step already requires loading it into registers per chunk, this isn't really an extra cost. Causal masking for the tail blocks should be handled separately using the standard approach rather than folded into this chunked scheme.\n\nBut the deeper concern persists: even with the accumulator staying resident across chunks, the pipeliner still can't overlap QK for the next step with PV for the current one, since softmax has a true dependency on the QK result — so the MMA/softmax serialization bottleneck doesn't actually go away.\n\nThis gives overlap of softmax with MMAs, as long as a single S buffer is enough once it's loaded to registers before the next QK reuses that slot, with P stored separately in TMEM. I'm thinking through whether I can structure the Triton loop so the next QK dot is issued before the softmax call, carrying the computed score forward into the next iteration to force this ordering.\n\nThe key insight is that even if the compiler normally inserts the wait and tmem_load right after the MMA in program order, the pipeliner could sink that wait to the first actual use -- which, with a loop-carried score tensor, would be at the end of the iteration after the PV dot is issued. That timing works out because by then the next QK matmul has had the entire softmax computation to complete asynchronously in the background.\n\nSo the tensor core keeps busy: QK(j+1) overlaps softmax(j), then PV(j) and QK(j+2) overlap softmax(j+1), and since there's only a single shared score buffer being loaded and reused sequentially, there's no buffer conflict to worry about between iterations.\n\nThe P buffer itself needs the compiler to insert a wait so softmax(j) doesn't overwrite it before PV(j-1) finishes reading, but since softmax takes much longer than PV, this should naturally be satisfied. The real uncertainty is whether Triton's scheduler actually preserves this ordering, and how the loop-carried dot product result gets represented as a TMEM tensor in TTGIR.\n\nThis seems worth prototyping. I'm thinking of starting simpler: skip the chunked accumulator for now and just test manual pipelining with the standard online softmax approach that round-trips the accumulator each iteration, then layer chunking on top afterward. Let me sketch out a v3 with manual pipelining using a prologue before the main loop.\n\nWriting the pipelined loop structure...\n\nThe last iteration recomputes a block and discards its score, wasting roughly 1-2% of FLOPs — I could guard this with a conditional but that risks breaking pipelining, so I'll accept the waste for now. I'm also considering how to handle the edge case where the loop range is empty so the prologue load doesn't go out of bounds.\n\nSince TMA handles out-of-bounds with zero fill, I can just do the prologue load unconditionally rather than wrapping it in a conditional. Now I'll write it out, keeping the accumulator rescale conditional with the 2D max trick as before.\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":2356,"cache_read_input_tokens":85182,"cache_creation":{"ephemeral_5m_input_tokens":2356,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"667777d6-40fb-4aaa-a37d-e176b9008303","timestamp":"2026-10-17T23:33:42.334Z","request_id":"req_011Cg8gVdKVUaNXWctpymJEY","thinking_duration_ms":102177,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gVdgZsPw5imF7GLoFx","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01ECqp7SqZkz1zqHyRH9HEVB","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/v2p.py').read()\nold_start = src.index(\"    for j in tl.range(lo, mid, warp_specialize=WS):\")\nold_end = src.index(\"    rn = tl.arange(0, BN)\")\nnew = \"\"\"    k = k_desc.load([row0 + lo * BN, col0])\n    s = tl.dot(q, k.T) * qk_scale\n    for j in tl.range(lo, mid, warp_specialize=WS):\n        jn = tl.minimum(j + 1, mid - 1)\n        kn = k_desc.load([row0 + jn * BN, col0])\n        s_n = tl.dot(q, kn.T) * qk_scale\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        if tl.max(s - m_i[:, None]) > 8.0:\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        p = tl.math.exp2(s - m_i[:, None])\n        l_i = l_i + tl.sum(p, 1)\n        v = v_desc.load([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        s = s_n\n\"\"\"\nsrc = src[:old_start] + new + src[old_end:]\nopen('/workspace/dev/v3p.py','w').write(src)\nEOF\nfor cfg in \"BN=64 NW=8 NS=2\" \"BN=64 NW=8 NS=1\" \"BN=128 NW=8 NS=1\"; do echo \"== $cfg\"; env $cfg timeout 600 python bench.py v3p.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \"us|Error|note\" | head -3; done","description":"Test manually software-pipelined QK variant"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2356,"cache_read_input_tokens":85182,"cache_creation":{"ephemeral_5m_input_tokens":2356,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5cbff642-33e1-42b0-b06b-dfbfbaf96199","timestamp":"2026-10-17T23:33:45.363Z","request_id":"req_011Cg8gVdKVUaNXWctpymJEY"}
{"type":"system","subtype":"task_started","task_id":"b1zyo1c2r","run_id":"0mvd194nr-81803b46","tool_use_id":"toolu_01ECqp7SqZkz1zqHyRH9HEVB","description":"Test manually software-pipelined QK variant","is_backgrounded":false,"task_type":"local_bash","uuid":"7bb9e2ea-6388-402d-b4b3-bcef91cb5280","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01ECqp7SqZkz1zqHyRH9HEVB","type":"tool_result","content":"== BN=64 NW=8 NS=2\n(1, 256, 131072): ok   1629.2 us    337.1 TFLOP/s  vs expert 0.233\n== BN=64 NW=8 NS=1\n(1, 256, 131072): ok   1706.9 us    321.8 TFLOP/s  vs expert 0.222\n== BN=128 NW=8 NS=1\n(1, 256, 131072): ok   1561.6 us    351.7 TFLOP/s  vs expert 0.243","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a5fbd3f3-c4fe-46ef-be62-ad1376733c11","timestamp":"2026-10-17T23:34:00.776Z","tool_use_result":{"stdout":"== BN=64 NW=8 NS=2\n(1, 256, 131072): ok   1629.2 us    337.1 TFLOP/s  vs expert 0.233\n== BN=64 NW=8 NS=1\n(1, 256, 131072): ok   1706.9 us    321.8 TFLOP/s  vs expert 0.222\n== BN=128 NW=8 NS=1\n(1, 256, 131072): ok   1561.6 us    351.7 TFLOP/s  vs expert 0.243","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01ECqp7SqZkz1zqHyRH9HEVB","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gemXMz7psxbvavR3A1","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"That result came out worse, 1629 us, so the compiler likely serialized things poorly. With limited time left, I'm weighing two options: chunked accumulation to avoid TMEM round trips, or digging deeper into the scheduling behavior to understand why.\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":11256,"cache_read_input_tokens":87538,"cache_creation":{"ephemeral_5m_input_tokens":11256,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5be077ef-aeb2-44bf-8360-8d77d69a9342","timestamp":"2026-10-17T23:34:11.081Z","request_id":"req_011Cg8gem3LXUdkVANWAxPic","thinking_duration_ms":3122,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gemXMz7psxbvavR3A1","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GE1gBK9BNrvyZPksMj3og6","name":"Bash","input":{"command":"env BN=64 NW=8 NS=2 timeout 300 python dump.py v3p.py _fwd_split 2>&1 | tail -1; awk '/scf.for/{f++} f==1' dump.ttgir | grep -n \"tc_gen5_mma\\|tmem_load\\|tmem_store\\|wait_barrier\\|async_tma_copy\\|scf.if\\|scf.yield\\|math.exp2\\|local_store\\|local_alloc\" | cut -c1-150 | head -40","description":"Inspect loop body op order in v3 TTGIR"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":11256,"cache_read_input_tokens":87538,"cache_creation":{"ephemeral_5m_input_tokens":11256,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"dfe77a36-9767-4e76-8239-18407a498215","timestamp":"2026-10-17T23:34:11.354Z","request_id":"req_011Cg8gem3LXUdkVANWAxPic"}
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{"type":"system","subtype":"task_notification","task_id":"bl3v27g03","run_id":"0mvd19opx-65609b9c","tool_use_id":"toolu_01GE1gBK9BNrvyZPksMj3og6","status":"completed","output_file":"","summary":"Inspect loop body op order in v3 TTGIR","uuid":"cc6c5522-9d83-4d14-aca4-b4b28765f713","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GE1gBK9BNrvyZPksMj3og6","type":"tool_result","content":"regs 240 spills 0 shared 197696 warps 8\n15:      ttng.async_tma_copy_global_to_local %k_desc_56[%kn_175, %col0] %kn_177, %s_176, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.me\n16:      ttng.wait_barrier %s_176, %s_171 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc298)\n18:      ttng.tc_gen5_mma %q_46, %s_n_178, %s_n, %false, %true, %s_179[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<25\n19:      ttng.wait_barrier %s_179, %s_163 deps %q_46, %s_n_178 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #s\n37:      %acc_181 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear2> loc(#loc204\n38:      %17:2 = scf.if %15 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128x256xf32, #linear2>) {\n40:        %alpha_201 = math.exp2 %alpha_200 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc218)\n46:        scf.yield %l_i_206, %acc_205 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128x256xf32, #linear2> loc(#loc72)\n48:        scf.yield %arg12, %acc_181 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128x256xf32, #linear2> loc(#loc72)\n53:      %p_185 = math.exp2 %p_184 : tensor<128x64xf32, #linear1> loc(#loc224)\n65:      ttng.async_tma_copy_global_to_local %v_desc_57[%v_188, %col0] %v_190, %s_189, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memd\n66:      ttng.wait_barrier %s_189, %s_171 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc298)\n68:      ttng.tmem_store %acc_191, %acc_79, %true : tensor<128x64xbf16, #linear1> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> lo\n69:      ttng.tmem_store %17#1, %acc, %true : tensor<128x256xf32, #linear2> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n71:      ttng.tc_gen5_mma %acc_79, %v_190, %acc, %true, %true, %s_192[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutabl\n72:      ttng.wait_barrier %s_192, %s_163 deps %acc_79, %v_190 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, #ttng\n77:      %s_n_197 = ttng.tmem_load %s_n : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc208)\n80:      scf.yield %16, %l_i_186, %s_n_198, %s_n_199, %s_n_196, %s_169, %s_171 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128\n103:    %s_86 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n108:    %s_89 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n113:    %k_92 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc236)\n114:    %v_93 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc237)\n115:    %s_94 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n120:    %s_97 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n131:    ttng.async_tma_copy_global_to_local %k_desc_56[%k_102, %col0] %k_103, %s_95, %s_100 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memde\n134:    ttng.wait_barrier %s_95, %c0_i32, %s_100 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n137:    ttng.tc_gen5_mma %q_46, %s_104, %s_107, %false, %s_100, %s_87[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256\n140:    ttng.async_tma_copy_global_to_local %v_desc_57[%k_102, %col0] %v_108, %s_98, %s_100 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memde\n146:    ttng.async_tma_copy_global_to_local %k_desc_56[%k_110, %col0] %k_111, %s_96, %s_106 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memde\n149:    ttng.wait_barrier %s_87, %c0_i32, %s_100 deps %q_46, %s_104 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #share\n155:    %s_119 = ttng.tmem_load %s_107 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc240)\n170:    %p_127 = math.exp2 %p_126 : tensor<128x64xf32, #linear> loc(#loc251)\n172:    %alpha_128 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> loc(#loc253)\n176:    ttng.wait_barrier %s_98, %c0_i32, %s_100 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n179:    ttng.tmem_store %acc_132, %acc_133, %s_100 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> lo\n180:    %acc_134 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear2> loc(#loc257)\n182:    ttng.tmem_store %acc_135, %acc, %s_100 : tensor<128x256xf32, #linear2> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(\n183:    ttng.tc_gen5_mma %acc_133, %v_108, %acc, %true, %s_100, %s_90[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutabl\n184:    ttng.wait_barrier %s_96, %c0_i32, %s_106 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n186:    ttng.tc_gen5_mma %q_46, %s_112, %s_107, %false, %s_106, %s_88[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c55748fa-1ea8-40e0-807d-2a0fea23a55d","timestamp":"2026-10-17T23:34:15.567Z","tool_use_result":{"stdout":"regs 240 spills 0 shared 197696 warps 8\n15:      ttng.async_tma_copy_global_to_local %k_desc_56[%kn_175, %col0] %kn_177, %s_176, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.me\n16:      ttng.wait_barrier %s_176, %s_171 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc298)\n18:      ttng.tc_gen5_mma %q_46, %s_n_178, %s_n, %false, %true, %s_179[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<25\n19:      ttng.wait_barrier %s_179, %s_163 deps %q_46, %s_n_178 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #s\n37:      %acc_181 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear2> loc(#loc204\n38:      %17:2 = scf.if %15 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128x256xf32, #linear2>) {\n40:        %alpha_201 = math.exp2 %alpha_200 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc218)\n46:        scf.yield %l_i_206, %acc_205 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128x256xf32, #linear2> loc(#loc72)\n48:        scf.yield %arg12, %acc_181 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128x256xf32, #linear2> loc(#loc72)\n53:      %p_185 = math.exp2 %p_184 : tensor<128x64xf32, #linear1> loc(#loc224)\n65:      ttng.async_tma_copy_global_to_local %v_desc_57[%v_188, %col0] %v_190, %s_189, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memd\n66:      ttng.wait_barrier %s_189, %s_171 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc298)\n68:      ttng.tmem_store %acc_191, %acc_79, %true : tensor<128x64xbf16, #linear1> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> lo\n69:      ttng.tmem_store %17#1, %acc, %true : tensor<128x256xf32, #linear2> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n71:      ttng.tc_gen5_mma %acc_79, %v_190, %acc, %true, %true, %s_192[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutabl\n72:      ttng.wait_barrier %s_192, %s_163 deps %acc_79, %v_190 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, #ttng\n77:      %s_n_197 = ttng.tmem_load %s_n : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc208)\n80:      scf.yield %16, %l_i_186, %s_n_198, %s_n_199, %s_n_196, %s_169, %s_171 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128\n103:    %s_86 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n108:    %s_89 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n113:    %k_92 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc236)\n114:    %v_93 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc237)\n115:    %s_94 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n120:    %s_97 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared2, #smem, mutable> loc(#loc300)\n131:    ttng.async_tma_copy_global_to_local %k_desc_56[%k_102, %col0] %k_103, %s_95, %s_100 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memde\n134:    ttng.wait_barrier %s_95, %c0_i32, %s_100 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n137:    ttng.tc_gen5_mma %q_46, %s_104, %s_107, %false, %s_100, %s_87[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256\n140:    ttng.async_tma_copy_global_to_local %v_desc_57[%k_102, %col0] %v_108, %s_98, %s_100 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memde\n146:    ttng.async_tma_copy_global_to_local %k_desc_56[%k_110, %col0] %k_111, %s_96, %s_106 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memde\n149:    ttng.wait_barrier %s_87, %c0_i32, %s_100 deps %q_46, %s_104 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #share\n155:    %s_119 = ttng.tmem_load %s_107 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc240)\n170:    %p_127 = math.exp2 %p_126 : tensor<128x64xf32, #linear> loc(#loc251)\n172:    %alpha_128 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> loc(#loc253)\n176:    ttng.wait_barrier %s_98, %c0_i32, %s_100 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n179:    ttng.tmem_store %acc_132, %acc_133, %s_100 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> lo\n180:    %acc_134 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear2> loc(#loc257)\n182:    ttng.tmem_store %acc_135, %acc, %s_100 : tensor<128x256xf32, #linear2> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(\n183:    ttng.tc_gen5_mma %acc_133, %v_108, %acc, %true, %s_100, %s_90[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutabl\n184:    ttng.wait_barrier %s_96, %c0_i32, %s_106 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n186:    ttng.tc_gen5_mma %q_46, %s_112, %s_107, %false, %s_106, %s_88[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GE1gBK9BNrvyZPksMj3og6","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gfrdTwg34ipK9zh4ak","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm noticing that v3p's main loop was fully synchronous with no pipelining—each TMA load and MMA was immediately followed by a wait, likely because the pipeliner couldn't handle the loop-carried state and conditional dot product. By contrast, v2p's loop had managed to get pipelined properly.\n\nWith limited time left, I'm thinking the practical path is to work within Triton's pipeliner structure and just cut per-iteration overhead: using the chunked accumulator approach to avoid frequent TMEM round trips, or trying BN=128 to amortize fixed per-iteration costs like barrier waits over more work per step, even if that forces single buffering. Walking through v2p's pipelined iteration structure again, I can see the tensor core sits idle during softmax and the accumulator round trip, so the real bottleneck is that QK and PV issue order leaves gaps uncovered by actual MMA work.\n\nIf I keep the accumulator in TMEM and skip the round trip entirely, the iteration time should roughly halve, which would be a solid win. To get there I'd need QK for the next block issued before PV for the current one finishes, similar to what v3p attempted -- though that version got rejected by the pipeliner, possibly due to the conditional logic or a non-affine load address from the clamped index. I don't think TMA descriptor loads should care about arbitrary indices, so I want to test that assumption by implementing the chunked approach now.\n\nI'm sketching an outer loop over chunks of C blocks with an inner pipelined loop that computes per-chunk running max, sum, and accumulator before merging into the main running statistics.\n\nNicely, since acc_c and acc_main share the same reference row-max m_i, merging simplifies: just sum them together and rescale by alpha, same for l, then update m_i to the new max -- avoiding a more complex merge formula.\n\nActually simpler still: keep acc accumulating directly in TMEM across the inner loop with fixed m_i, only rescaling once at each chunk boundary with a round-trip load/store, since the compiler should hoist that naturally when there are no other TMEM uses inside the inner loop.\n\nThe remaining issue is overflow: if the stale max m_i lags too far behind the true running max mx_c within a chunk, exp2(s - m_i) can blow up and corrupt acc with inf before we even detect it, meaning we'd need the pre-chunk acc value saved to recover — which means holding acc in registers through the inner loop, pushing register pressure uncomfortably high.\n\nInstead, I'll keep acc_main untouched in registers while each chunk computes into a fresh acc_c in TMEM, merging the two only if no overflow occurred; if a chunk does overflow I fall back to recomputing it with standard online softmax rescaling into a separate accumulator before merging. This costs some code duplication but avoids polluting the main accumulator, and the register budget should still fit comfortably.\n\nFor picking m_i on the first chunk, I peel block lo first — computing s0 and its row-max — since that block is fully unmasked and thus guaranteed finite, even accounting for padded query rows whose zeroed inputs just produce finite (discarded) outputs.\n\nI'm checking overflow bounds: with a clamp threshold T=64, accumulated l and acc values stay within fp32 range as long as |v| is under roughly 1e12, which covers realistic cases — extreme values like 1e30 would overflow regardless, matching what even a straightforward reference implementation would hit.\n\nActually summing over 512 keys could still overflow even at this bound, since if all keys hit max weight simultaneously the accumulated total blows past fp32 range—unlikely with realistic test magnitudes, but I'll tighten T to 16 for safety. I also still need to consider how l_c and acc behave relative to m_i when an early block has a huge outlier and later blocks are normal.\n\nThat underflow is actually fine since those contributions are genuinely negligible next to the outlier term. But I'm now worried about a different edge case with bf16 P values that are small-but-still-significant relative to the row sum rather than truly negligible—checking whether bf16's exponent range and mantissa precision still hold up in that regime, and it looks like it does since bf16 supports normal values down to very small exponents without losing precision. I also need to double check the slow-path branch condition that reduces a difference tensor to a scalar, since a similar scalar reduction pattern caused a layout optimization crash previously.\n\nI'm realizing the fix is to reuse the subtraction we already compute for the exp2 argument—tracking a running scalar max of that same difference across the loop avoids the extra pass and sidesteps the problematic reduction pattern.\n\nThe crash actually traces back to reducing a 1D tensor with a sliced TMEM layout, so I need to reshape or expand dims to make it 2D before reducing to a scalar, and I'm trying a few variants to see what avoids the issue. Alternatively, I could sidestep the scalar condition entirely since the slow path only triggers when needed.\n\nIf the 2D expand-dims trick for the overflow scalar still fails, I'll fall back to a scalar loop-carried max over the chunk instead. Now I'm thinking through the cost of the round trip per chunk, loading a 128x256 fp32 accumulator from TMEM.\n\nWorking out chunk sizing: with C=8 blocks per chunk of 64 keys each (512 keys total) and roughly 28 blocks per split, chunks come out as 8,8,8,4, which fits fine within each split without needing global alignment.\n\nI'm now worried about pipelining — since the inner loop only has 8 iterations and the outer loop isn't pipelined, each chunk starts cold, exposing the first TMA load's latency directly, which could hurt performance across the 28 blocks per split.\n\nI'm weighing whether Triton's nested-loop flattening pass could fuse this into one pipelined loop, versus just using the whole split as a single chunk and accepting a slower fallback path for adversarial outlier distributions in K, trading correctness safety for speed in the common case.\n\nStill writing the fused softmax loop...\n\nThat's about 1.8% extra FLOPs per split, which I'll accept for now rather than complicating things with an in-loop max computation. Time to move on and write v4 — roughly 50 minutes used, 70 left.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01YV3j5QQXe7rUKeQq27YLq6","type":"tool_result","content":"regs 255 spills 6 shared 197696 warps 8\n18:      ttng.wait_barrier %k_194, %s_195, %true deps %q_46, %s_196 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>,\n19:      %s_207 = ttng.tmem_load %s_86 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc221)\n22:      %p_210 = math.exp2 %d_209 : tensor<128x64xf32, #linear1> loc(#loc225)\n24:      ttng.wait_barrier %k_211, %acc_190, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n27:      ttng.wait_barrier %k_197, %k_198 deps %acc_98, %v_199 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_me\n28:      ttng.tmem_store %acc_213, %acc_98, %true : tensor<128x64xbf16, #linear1> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc217)\n30:      ttng.tc_gen5_mma %acc_98, %v_212, %acc, %true, %true, %k_214[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable>, !ttg.m\n37:      ttng.wait_barrier %k_220, %acc_219, %k_204 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n41:      ttng.tc_gen5_mma %q_46, %s_222, %s_86, %false, %k_204, %k_223[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16,\n43:      ttng.barrier_expect %k_224, 32768, %k_204 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n45:      ttng.async_tma_copy_global_to_local %v_desc_57[%k_200, %col0] %v_225, %k_224, %k_204 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64\n55:      ttng.barrier_expect %k_234, 32768, %k_202 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n57:      ttng.async_tma_copy_global_to_local %k_desc_56[%k_233, %col0] %k_235, %k_234, %k_202 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64\n58:      scf.yield %l_i_206, %mx_205, %s_230, %s_229, %acc_219, %acc_218, %d_209, %p_210, %k_223, %s_188, %s_222, %k_214, %acc_190, %v_212, %k_233 : tensor<128x\n60:    %k_104:2 = scf.if %k_82 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>) {\n73:      ttng.wait_barrier %k_103#11, %k_103#12 deps %acc_98, %k_103#13 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, #ttng.\n74:      scf.yield %l_i_188, %mx_187 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> loc(\n76:      scf.yield %k_103#0, %k_103#1 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> loc\n101:    %acc_106 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear2> loc(#loc217)\n102:    %4:3 = scf.if %3 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256x\n104:      ttng.tmem_store %cst_1, %acc_187, %true : tensor<128x256xf32, #linear2> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc233\n127:      ttng.barrier_expect %k_197, 32768, %k_82 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n130:      ttng.async_tma_copy_global_to_local %k_desc_56[%k_58, %col0] %k_202, %k_197, %k_82 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64,\n131:      ttng.wait_barrier %k_197, %c0_i32, %k_82 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n134:      ttng.tc_gen5_mma %q_46, %s_203, %s_204, %false, %k_82, %k_189[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16\n135:      ttng.barrier_expect %k_200, 32768, %k_82 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n137:      ttng.async_tma_copy_global_to_local %v_desc_57[%k_58, %col0] %v_205, %k_200, %k_82 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64,\n138:      ttng.barrier_expect %k_198, 32768, %k_85 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n141:      ttng.async_tma_copy_global_to_local %k_desc_56[%k_89, %col0] %k_206, %k_198, %k_85 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64,\n142:      ttng.wait_barrier %k_189, %c0_i32, %k_82 deps %q_46, %s_203 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"b832c0f9-236e-41c4-b842-1e1e5cf56a1b","timestamp":"2026-10-17T23:35:39.245Z","tool_use_result":{"stdout":"regs 255 spills 6 shared 197696 warps 8\n18:      ttng.wait_barrier %k_194, %s_195, %true deps %q_46, %s_196 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>,\n19:      %s_207 = ttng.tmem_load %s_86 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc221)\n22:      %p_210 = math.exp2 %d_209 : tensor<128x64xf32, #linear1> loc(#loc225)\n24:      ttng.wait_barrier %k_211, %acc_190, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n27:      ttng.wait_barrier %k_197, %k_198 deps %acc_98, %v_199 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_me\n28:      ttng.tmem_store %acc_213, %acc_98, %true : tensor<128x64xbf16, #linear1> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> loc(#loc217)\n30:      ttng.tc_gen5_mma %acc_98, %v_212, %acc, %true, %true, %k_214[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable>, !ttg.m\n37:      ttng.wait_barrier %k_220, %acc_219, %k_204 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n41:      ttng.tc_gen5_mma %q_46, %s_222, %s_86, %false, %k_204, %k_223[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16,\n43:      ttng.barrier_expect %k_224, 32768, %k_204 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n45:      ttng.async_tma_copy_global_to_local %v_desc_57[%k_200, %col0] %v_225, %k_224, %k_204 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64\n55:      ttng.barrier_expect %k_234, 32768, %k_202 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc338)\n57:      ttng.async_tma_copy_global_to_local %k_desc_56[%k_233, %col0] %k_235, %k_234, %k_202 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64\n58:      scf.yield %l_i_206, %mx_205, %s_230, %s_229, %acc_219, %acc_218, %d_209, %p_210, %k_223, %s_188, %s_222, %k_214, %acc_190, %v_212, %k_233 : tensor<128x\n60:    %k_104:2 = scf.if %k_82 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>) {\n73:      ttng.wait_barrier %k_103#11, %k_103#12 deps %acc_98, %k_103#13 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, #ttng.\n74:      scf.yield %l_i_188, %mx_187 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> loc(\n76:      scf.yield %k_103#0, %k_103#1 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> loc\n101:    %acc_106 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear2> loc(#loc217)\n102:    %4:3 = scf.if %3 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256x\n104:      ttng.tmem_store %cst_1, %acc_187, %true : tensor<128x256xf32, #linear2> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc233\n127:      ttng.barrier_expect %k_197, 32768, %k_82 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n130:      ttng.async_tma_copy_global_to_local %k_desc_56[%k_58, %col0] %k_202, %k_197, %k_82 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64,\n131:      ttng.wait_barrier %k_197, %c0_i32, %k_82 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n134:      ttng.tc_gen5_mma %q_46, %s_203, %s_204, %false, %k_82, %k_189[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16\n135:      ttng.barrier_expect %k_200, 32768, %k_82 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n137:      ttng.async_tma_copy_global_to_local %v_desc_57[%k_58, %col0] %v_205, %k_200, %k_82 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64,\n138:      ttng.barrier_expect %k_198, 32768, %k_85 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc340)\n141:      ttng.async_tma_copy_global_to_local %k_desc_56[%k_89, %col0] %k_206, %k_198, %k_85 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64,\n142:      ttng.wait_barrier %k_189, %c0_i32, %k_82 deps %q_46, %s_203 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01YV3j5QQXe7rUKeQq27YLq6","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gn2LXymqVxoomgYWSU","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm mapping out the pipeline sequencing for this attention kernel: tracking how QK and PV matmuls interleave on the tensor core while waiting on TMEM buffer reuse and TMA loads for K and V, trying to figure out when the softmax for the next tile can actually begin.\n\nSince MMA and softmax don't overlap, I'm estimating per-iteration cost and comparing it against the measured 3700-clock, 863us runtime, noting register spills with 255 regs used. I'm working through the split-K cost function (balancing wave count against blocks-per-program) to check whether wave quantization is hurting occupancy, computing candidate split values and their resulting program counts and costs to see which configuration the scheduler actually picked.\n\nNow I'm suspecting the MMA throughput itself might not be the bottleneck and considering whether small N=64 tiles reduce tensor core efficiency compared to N=256, or whether shared memory bandwidth for the QK matmul is limiting the per-instruction rate.\n\nWith BN=128 the SMEM bandwidth and compute costs become roughly balanced, but SMEM capacity forces single-buffering since Q, K, and V together take 192KB, leaving no room for double buffering. I'm wondering if putting Q in TMEM instead could help, since tcgen05.mma supports an A-in-TMEM/B-in-SMEM variant, which is what Triton's lhs-to-TMEM promotion pass seems to target.\n\nWorking through the TMEM budget: with BN=64, Q (128 cols) + S (64) + P (32) + O (256) sums to 480 out of 512 columns, which fits. But at BN=128, S grows to 128 columns, pushing the total to 576, over budget—unless P is aliased in-place over S the way FA4 does, which Triton likely doesn't support yet.\n\nNow I'm wondering how to coax Triton into promoting Q into TMEM. The relevant pass is the NVIDIA backend's promote_lhs_to_tmem, which seems to target LHS operands coming from registers (like a computed P) rather than ones loaded straight into SMEM via local_alloc. Since Q gets explicitly local_alloc'd into SMEM in the generated TTGIR, the pass evidently doesn't pick it up for promotion.\n\nPossibly that's because Q is loop-invariant and hoisted, or because the producer's layout doesn't match what TMEM expects without an extra conversion. I'm also considering just swapping operand roles for the QK matmul, but that ends up with the same SMEM traffic pattern, so it seems like for the M=128 single-CTA case, repeatedly re-reading Q from SMEM per KV tile is a fundamental bandwidth bottleneck worth quantifying.\n\nWith BN=128, each 128-key block costs roughly 1024 cycles of SMEM reads for QK (Q plus K) against 1024 cycles of compute, and PV costs about 512 cycles of SMEM reads against 1024 of compute -- so total SMEM traffic stays under total compute, meaning it should overlap fine. Running the same math for BN=64 per 64-key block, QK SMEM reads actually exceed compute (roughly 768 vs 512 cycles), making QK the bottleneck there, with PV again comfortably compute-bound, netting out to about 2560 cycles per 128 keys versus 2048 for BN=128 -- so the smaller tile size is clearly less efficient.\n\nI'm checking the SMEM bandwidth assumption of 128 bytes/clock/SM on Blackwell, which seems right for tcgen05 operand reads. Given that, I estimate the MMA portion is around 1280 cycles out of the observed ~3700 per iteration at BN=64, with softmax adding roughly another 1000, and I want to check whether TMA waits or L2 bandwidth explain the rest -- back-of-envelope L2 traffic looks fine at under 5 TB/s. I'm now wondering if I'm underestimating the cost of the exp2/softmax work given each thread handles 32 elements across 256 threads for a 128x64 tile.\n\nWorking through the per-thread softmax instruction count -- scaling, max-subtraction, exp2 via MUFU, sum accumulation, and bf16 conversion -- I tally roughly 1024 MUFU ops per warp, which across 8 warps and the SM's MUFU throughput works out to about 512 cycles, plus another ~384 cycles for the surrounding FP32 arithmetic, putting total softmax cost around 600-900 cycles.\n\nAdding MMA (~1280) plus softmax (~800) plus sync overhead still only gets me to ~2500, well short of the observed 3700, so something's missing. I suspect it's the cross-warp reductions for row-wise max and sum: with 8 warps mapped across a 128x64 tile where warps 0-3 and 4-7 split the columns, each row's reduction spans two warps, forcing extra SMEM traffic and barrier synchronization for both the max and sum passes.\n\nBut then I realize there's a better approach — instead of reducing l_i and mx every iteration, I could accumulate them elementwise in 2D tensors throughout the loop and only reduce once at the end, eliminating all the cross-thread syncs inside the hot loop. The tradeoff is register pressure, since we're already near 255 registers with spills and this would add roughly 64 more per thread for the accumulator tensors.\n\nI'm trying to figure out why register pressure is already so high — maybe the compiler is keeping the large accumulator live across the epilogue rather than just in TMEM during the loop. I also consider whether the row-sum could be computed directly via the MMA by appending a ones-column to V, but that would push N past the 256 cap the hardware allows, so that's a dead end. Another option is restructuring so each thread owns a full row for the softmax step instead.\n\nI realize I can split the accumulator into two 128x128 halves, running separate PV dot products for each half and processing the epilogue and rescaling independently to keep register pressure manageable. I also recall I still need to retest the BN=64 NW=4 NS=2 configuration with v4p, since the earlier v2p attempt crashed on a compile error.\n\nWriting V5 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":3038,"cache_read_input_tokens":109510,"cache_creation":{"ephemeral_5m_input_tokens":3038,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d8d9032b-26f5-4493-8978-82334f4a9e70","timestamp":"2026-10-17T23:36:24.801Z","request_id":"req_011Cg8gn22BW5UU8wizmMjMb","thinking_duration_ms":44102,"thinking_display":"summarized"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":93,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1e394b0a-d40e-4d04-9a45-38c4e6231d39"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gn2LXymqVxoomgYWSU","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found that QK(j+1) only issues after PV(j), so softmax never overlaps with the MMAs, and with 8 warps each row's reductions require cross-warp shared memory traffic every block. I'll switch to 4 warps so each thread owns a full row with no cross-warp reductions, splitting O into two 128-column halves to control register pressure.\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":3038,"cache_read_input_tokens":109510,"cache_creation":{"ephemeral_5m_input_tokens":3038,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"fe085e9e-5a93-4e5a-b0b6-185204c07a37","timestamp":"2026-10-17T23:36:24.804Z","request_id":"req_011Cg8gn22BW5UU8wizmMjMb","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gn2LXymqVxoomgYWSU","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01P7CjedjpYTqsuVnicve62A","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/v4p.py').read()\n# split V / acc into two halves\nsrc = src.replace(\"\"\"    v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\"\"\",\n\"\"\"    v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D // 2])\"\"\")\nsrc = src.replace(\"\"\"    acc = tl.zeros((BM, D), tl.float32)\n    k = k_desc.load\"\"\", \"\"\"    acc0 = tl.zeros((BM, D // 2), tl.float32)\n    acc1 = tl.zeros((BM, D // 2), tl.float32)\n    k = k_desc.load\"\"\")\nsrc = src.replace(\"\"\"        v = v_desc.load([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n    if tl.max\"\"\", \"\"\"        pb = p.to(tl.bfloat16)\n        v0 = v_desc.load([row0 + j * BN, col0])\n        acc0 = tl.dot(pb, v0, acc0)\n        v1 = v_desc.load([row0 + j * BN, col0 + D // 2])\n        acc1 = tl.dot(pb, v1, acc1)\n    if tl.max\"\"\")\nsrc = src.replace(\"\"\"        acc = tl.zeros((BM, D), tl.float32)\n        for j in range(lo, mid):\"\"\", \"\"\"        acc0 = tl.zeros((BM, D // 2), tl.float32)\n        acc1 = tl.zeros((BM, D // 2), tl.float32)\n        for j in range(lo, mid):\"\"\")\nold = \"\"\"            acc = acc * alpha[:, None]\n            v = v_desc.load([row0 + j * BN, col0])\n            acc = tl.dot(p.to(tl.bfloat16), v, acc)\n            m_i = m_new\"\"\"\nnew = \"\"\"            pb = p.to(tl.bfloat16)\n            acc0 = acc0 * alpha[:, None]\n            v0 = v_desc.load([row0 + j * BN, col0])\n            acc0 = tl.dot(pb, v0, acc0)\n            acc1 = acc1 * alpha[:, None]\n            v1 = v_desc.load([row0 + j * BN, col0 + D // 2])\n            acc1 = tl.dot(pb, v1, acc1)\n            m_i = m_new\"\"\"\nassert old in src\nsrc = src.replace(old, new)\nold = \"\"\"        acc = acc * alpha[:, None]\n        v = v_desc.load([row0 + j * BN, col0])\n        acc = tl.dot(p.to(tl.bfloat16), v, acc)\n        m_i = m_new\"\"\"\nnew = \"\"\"        pb = p.to(tl.bfloat16)\n        acc0 = acc0 * alpha[:, None]\n        v0 = v_desc.load([row0 + j * BN, col0])\n        acc0 = tl.dot(pb, v0, acc0)\n        acc1 = acc1 * alpha[:, None]\n        v1 = v_desc.load([row0 + j * BN, col0 + D // 2])\n        acc1 = tl.dot(pb, v1, acc1)\n        m_i = m_new\"\"\"\nassert old in src\nsrc = src.replace(old, new)\nold = \"\"\"    o = acc / l_safe[:, None]\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + rd[None, :], o)\"\"\"\nnew = \"\"\"    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n    rh = tl.arange(0, D // 2)\n    tl.store(Op + prow[:, None] * D + rh[None, :], acc0 / l_safe[:, None])\n    tl.store(Op + prow[:, None] * D + D // 2 + rh[None, :], acc1 / l_safe[:, None])\"\"\"\nassert old in src\nsrc = src.replace(old, new)\nopen('/workspace/dev/v5p.py','w').write(src)\nEOF\nfor cfg in \"BN=64 NW=4 NS=2\" \"BN=128 NW=4 NS=1\" \"BN=64 NW=8 NS=2\"; do echo \"== $cfg\"; env $cfg timeout 600 python bench.py v5p.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \"us|Error|note\" | head -3; done","description":"Test 4-warp split-accumulator variant (v5)"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3038,"cache_read_input_tokens":109510,"cache_creation":{"ephemeral_5m_input_tokens":3038,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"04a5af87-a6c1-475f-8413-c2ab4e8fc36f","timestamp":"2026-10-17T23:36:34.633Z","request_id":"req_011Cg8gn22BW5UU8wizmMjMb"}
{"type":"system","subtype":"task_started","task_id":"bq7hkvfoc","run_id":"0mvd1cr9q-81dce642","tool_use_id":"toolu_01P7CjedjpYTqsuVnicve62A","description":"Test 4-warp split-accumulator variant (v5)","is_backgrounded":false,"task_type":"local_bash","uuid":"9a90bcfd-6054-4b4d-b399-598d35a5486a","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bq7hkvfoc","run_id":"0mvd1cr9q-81dce642","tool_use_id":"toolu_01P7CjedjpYTqsuVnicve62A","status":"completed","output_file":"","summary":"Test 4-warp split-accumulator variant (v5)","uuid":"46adfeb2-b0ee-4d84-85db-9ef65631b129","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01P7CjedjpYTqsuVnicve62A","type":"tool_result","content":"== BN=64 NW=4 NS=2\n(1, 256, 131072): ok    838.7 us    654.9 TFLOP/s  vs expert 0.452\n== BN=128 NW=4 NS=1\n(1, 256, 131072): ok   1571.8 us    349.4 TFLOP/s  vs expert 0.241\n== BN=64 NW=8 NS=2\n(1, 256, 131072): ok    836.5 us    656.6 TFLOP/s  vs expert 0.453","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"74f59534-d5a3-4e9f-a3e1-3dcff1a378fc","timestamp":"2026-10-17T23:36:50.904Z","tool_use_result":{"stdout":"== BN=64 NW=4 NS=2\n(1, 256, 131072): ok    838.7 us    654.9 TFLOP/s  vs expert 0.452\n== BN=128 NW=4 NS=1\n(1, 256, 131072): ok   1571.8 us    349.4 TFLOP/s  vs expert 0.241\n== BN=64 NW=8 NS=2\n(1, 256, 131072): ok    836.5 us    656.6 TFLOP/s  vs expert 0.453","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01P7CjedjpYTqsuVnicve62A","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":1985,"estimated_tokens_delta":622,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3431c857-3421-4097-89c4-af297e6d5a01"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gu1tgkXVdXs9Fg2Yke","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing exp doesn't change timing at all, so softmax isn't the bottleneck. But isolating QK-only (with softmax) gives 732us, which is surprisingly slow at only 375 TFLOP/s, while PV-only is faster at 627us — so QK is the real culprit, not PV.\n\nThinking about it more, maybe this isn't compute-bound but memory-bound: checking HBM bandwidth for K and V tensors, and whether the grid's scheduling order (m-tile fastest) actually lets CTAs sharing the same KV head co-execute to get L2 cache hits, versus hitting HBM repeatedly across waves.\n\nBut the K-only QK MMA test still takes 732 us, which doesn't match pure bandwidth limits (~16% HBM utilization), so I'm now digging into the MMA instruction shapes themselves — checking whether the K operand's SMEM layout from TMA is actually a valid B-operand layout for the matmul.\n\nWorking through the per-instruction cost of the QK MMA: with K=256 split into sixteen K=16 instructions, each reading small A/B tiles, the compute vs SMEM-read bound comes out to roughly 768 clocks per iteration — far less than the ~3100 clocks I'm actually seeing, so raw MMA throughput isn't the bottleneck either. That pushes me toward suspecting the real cost is in the dependency chain per iteration — waiting on the QK MMA, loading from tensor memory, computing, then storing P back.\n\nThen there's the sequencing issue: if the next QK isn't issued until the current softmax finishes, I'm paying its full latency (~768 + ~200 pipeline overhead) serially rather than overlapping it. Adding up QK latency plus softmax plus barrier/TMA waits gets me closer to ~2000 clocks, still short of the measured 3100, so I'm now wondering if the TMA load of K itself is the culprit — the 64x256 bf16 tile is 32 KB, and the inner dimension at 512 bytes exceeds the 128-byte swizzle span, which could be adding overhead.\n\nI'm also considering whether creating the tensor descriptors on-device at kernel start (with the tensormap fence) is adding meaningful per-wave cost, though it's probably only a few microseconds per CTA and not the main bottleneck.\n\nTrying to isolate raw throughput, I think about testing a minimal kernel doing just QK MMAs, and separately I'm working out the PV-only timing: roughly 1.41 us/iteration translates to about 2700 clocks for the 128x256x64 MMA split into two N=128 halves, plus the V TMA load and P tmem_store overhead.\n\nThis still lands well above the theoretical 512-clock minimum, suggesting each MMA iteration is latency-bound rather than throughput-bound. I suspect the TMA load latency isn't being hidden properly at num_stages=2, so I'm estimating per-SM L2-to-SMEM bandwidth to see whether a 32 KB tile transfer alone could account for the gap.\n\nFor BN=64, that means 64 KB of K+V per iteration needs roughly 1140 clocks to transfer if bandwidth-limited, which is close to my measured 16 TB/s result from the L2 test. The MMA work itself (QK plus PV) comes to about 1280 clocks, and while TMA transfers should overlap with compute asynchronously, with only two pipeline stages and tight dependencies, I think the effective per-iteration time ends up stacking rather than fully overlapping.\n\nTotaling it up: 65536 tile-iterations at 64 KB each gives 4.3 GB of L2 traffic, which is 268 us minimum at 16 TB/s just for L2 bandwidth alone -- compared against the expert's 379 us total with their 2x reuse scheme cutting their L2 traffic to 2.15 GB (134 us). That means for BM=128, L2 bandwidth is a genuine bottleneck, and beating the expert would require sustaining around 70% L2 bandwidth utilization fully overlapped with compute, which seems tough unless I can cut traffic by sharing KV across CTAs.\n\nI'm considering TMA multicast within a cluster, though Triton's API may not expose that, or trying BM=256 per CTA -- but that blows the TMEM budget since O alone would need the full 512 columns, leaving no room for S unless I move part of O into registers. I'm also considering transposing the P·V computation so O^T uses D=256 as the M dimension instead, which changes the shape constraints in a way that might free up TMEM.\n\nComputing this out, the transposed layout still needs the same total number of elements, so BM=256 with D=256 simply can't fit O in TMEM alongside anything else -- this is exactly why FA4 splits across 2 CTAs, each handling 128 rows of O in its own TMEM budget. Given Triton's constraints, I think BM=128 per CTA is the way to go, with each CTA streaming its own KV from L2.\n\nAt roughly 16 TB/s L2 bandwidth that's about 268 us for shape 1 in theory, but realistically at 70-80% efficiency it's more like 340-380 us -- matching the expert implementation at best, not beating it. I wonder if a cluster with TMA multicast could help here; I should check whether Triton 3.7 exposes any multicast API by searching the language module.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gwjAwg2qBNymBMpzJP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_015ssz9Wk6Zw9XZNZVx9eS41","name":"Bash","input":{"command":"cd /workspace/dev && python - << 'EOF'\nsrc = open('/workspace/dev/v5p.py').read()\nsrc = src.replace(\"import torch\\nimport os\\n\", \"import torch\\n\", 1)\nsrc = src.replace(\"int(os.environ.get('BN', 64))\", \"64\")\nsrc = src.replace(\"WS=bool(int(os.environ.get('WS', 0))), num_warps=int(os.environ.get('NW', 8)), num_stages=int(os.environ.get('NS', 2))\", \"WS=False, num_warps=4, num_stages=2\")\nassert 'os.' not in src\nopen('/workspace/dev/sol_v5.py','w').write(src)\nEOF\ntimeout 900 python bench.py sol_v5.py 2>&1 | grep -v \"^  \" | tail -6","description":"Build clean v5 and run full correctness benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4271,"cache_read_input_tokens":120129,"cache_creation":{"ephemeral_5m_input_tokens":4271,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0c2b4df4-1c20-4781-8591-853876713255","timestamp":"2026-10-17T23:38:02.148Z","request_id":"req_011Cg8gwio7oKTF94u2zsfz5"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015ssz9Wk6Zw9XZNZVx9eS41","type":"tool_result","content":"(1, 256, 131072): ok    841.7 us    652.5 TFLOP/s  vs expert 0.450\n(1, 512, 65536): ok    915.5 us    598.2 TFLOP/s  vs expert 0.389\n(1, 512, 131072): ok   1555.5 us    705.5 TFLOP/s  vs expert 0.445\n(2, 256, 65536): ok    929.8 us    590.1 TFLOP/s  vs expert 0.410\ngeomean vs expert: 0.422693011171003","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ec8cc3e8-c18f-4cfa-bbfb-25a3e34292ec","timestamp":"2026-10-17T23:38:10.117Z","tool_use_result":{"stdout":"(1, 256, 131072): ok    841.7 us    652.5 TFLOP/s  vs expert 0.450\n(1, 512, 65536): ok    915.5 us    598.2 TFLOP/s  vs expert 0.389\n(1, 512, 131072): ok   1555.5 us    705.5 TFLOP/s  vs expert 0.445\n(2, 256, 65536): ok    929.8 us    590.1 TFLOP/s  vs expert 0.410\ngeomean vs expert: 0.422693011171003","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015ssz9Wk6Zw9XZNZVx9eS41","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gz9o5tmCV93nwQrEqe","type":"message","role":"assistant","content":[{"type":"text","text":"`num_ctas=2` crashes in Triton's CTA planner, so the 2-CTA path is out. I'll tune within single-CTA limits: smaller KV tiles with deeper pipelining, to keep more bytes in flight from L2."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1208,"cache_read_input_tokens":125704,"cache_creation":{"ephemeral_5m_input_tokens":1208,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"b88c7168-9a07-4e1f-9ee3-cd635448f695","timestamp":"2026-10-17T23:38:37.390Z","request_id":"req_011Cg8gz9TjdiZdpPtGPvuG8"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gz9o5tmCV93nwQrEqe","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01FP9i9Ct9i6s4uMLhdvHLAV","name":"Bash","input":{"command":"for cfg in \"BN=32 NW=4 NS=4\" \"BN=32 NW=4 NS=5\" \"BN=32 NW=4 NS=3\"; do echo \"== $cfg\"; env $cfg timeout 600 python bench.py v6p.py --nocheck shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \"us|Error|note\" | head -3; done; cat /workspace/dev/check_v5.log","description":"Sweep BN=32 with deeper pipelining"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1208,"cache_read_input_tokens":125704,"cache_creation":{"ephemeral_5m_input_tokens":1208,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"b4f96e2a-7e9a-4f01-b621-7b5e4185b9ae","timestamp":"2026-10-17T23:38:38.832Z","request_id":"req_011Cg8gz9TjdiZdpPtGPvuG8"}
{"type":"system","subtype":"task_started","task_id":"bm3iuyjk7","run_id":"0mvd1ff3n-00bf81e2","tool_use_id":"toolu_01FP9i9Ct9i6s4uMLhdvHLAV","description":"Sweep BN=32 with deeper pipelining","is_backgrounded":false,"task_type":"local_bash","uuid":"1c0cc001-b235-4e93-9a50-50db98be8eb2","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bm3iuyjk7","run_id":"0mvd1ff3n-00bf81e2","tool_use_id":"toolu_01FP9i9Ct9i6s4uMLhdvHLAV","status":"completed","output_file":"","summary":"Sweep BN=32 with deeper pipelining","uuid":"d2846a5a-4995-45e1-81f3-3e0b984dcc87","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01FP9i9Ct9i6s4uMLhdvHLAV","type":"tool_result","content":"== BN=32 NW=4 NS=4\n(1, 256, 131072): ok    909.3 us    604.0 TFLOP/s  vs expert 0.417\n== BN=32 NW=4 NS=5\n(1, 256, 131072): ok    907.2 us    605.4 TFLOP/s  vs expert 0.418\n== BN=32 NW=4 NS=3\n(1, 256, 131072): ok    907.3 us    605.3 TFLOP/s  vs expert 0.418\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 962.11 us, starting kernel 9037.02 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 1038.11 us, starting kernel 5956.77 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1657.86 us, starting kernel 11948.67 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 1059.94 us, starting kernel 6113.66 us\nautosave: kept this version in /workspace/.best/solution.py (6.880x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"aa4a3f18-7d5a-48a6-8197-6e2e55bd93a6","timestamp":"2026-10-17T23:38:53.200Z","tool_use_result":{"stdout":"== BN=32 NW=4 NS=4\n(1, 256, 131072): ok    909.3 us    604.0 TFLOP/s  vs expert 0.417\n== BN=32 NW=4 NS=5\n(1, 256, 131072): ok    907.2 us    605.4 TFLOP/s  vs expert 0.418\n== BN=32 NW=4 NS=3\n(1, 256, 131072): ok    907.3 us    605.3 TFLOP/s  vs expert 0.418\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 962.11 us, starting kernel 9037.02 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 1038.11 us, starting kernel 5956.77 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1657.86 us, starting kernel 11948.67 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 1059.94 us, starting kernel 6113.66 us\nautosave: kept this version in /workspace/.best/solution.py (6.880x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01FP9i9Ct9i6s4uMLhdvHLAV","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8h2KeEWrYdXPnZtX4Bs","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01LcdJDSPtkzvw1RKUBWqDE8","name":"Bash","input":{"command":"python - << 'EOF'\nimport torch, time\na = torch.randn(8192, 8192, device='cuda', dtype=torch.bfloat16)\nb = torch.randn(8192, 8192, device='cuda', dtype=torch.bfloat16)\nfor _ in range(3): c = a @ b\ntorch.cuda.synchronize()\ns, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\ns.record()\nfor _ in range(10): c = a @ b\ne.record(); torch.cuda.synchronize()\nt = s.elapsed_time(e) / 10 / 1000\nprint('cublas bf16 TFLOP/s', 2 * 8192**3 / t / 1e12)\nEOF\nnvidia-smi -q -d CLOCK | grep -A4 \"Max Clocks\\|Applications Clocks\" | head -12","description":"Measure cuBLAS peak and GPU clocks"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1859,"cache_read_input_tokens":126912,"cache_creation":{"ephemeral_5m_input_tokens":1859,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"bf92217b-3f2f-47b4-8f25-24b6f151bfbd","timestamp":"2026-10-17T23:39:02.701Z","request_id":"req_011Cg8h2KHPxeJ32eijtcfTe"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01LcdJDSPtkzvw1RKUBWqDE8","type":"tool_result","content":"cublas bf16 TFLOP/s 1739.9891437309977\n    Applications Clocks\n        Graphics                                       : Requested functionality has been deprecated\n        Memory                                         : Requested functionality has been deprecated\n    Default Applications Clocks\n        Graphics                                       : Requested functionality has been deprecated\n        Memory                                         : Requested functionality has been deprecated\n    Deferred Clocks\n        Memory                                         : N/A\n    Max Clocks\n        Graphics                                       : 2032 MHz\n        SM                                             : 2032 MHz\n        Memory                                         : 3996 MHz","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7db55785-b10d-417b-8908-8efdd7e6384b","timestamp":"2026-10-17T23:39:11.575Z","tool_use_result":{"stdout":"cublas bf16 TFLOP/s 1739.9891437309977\n    Applications Clocks\n        Graphics                                       : Requested functionality has been deprecated\n        Memory                                         : Requested functionality has been deprecated\n    Default Applications Clocks\n        Graphics                                       : Requested functionality has been deprecated\n        Memory                                         : Requested functionality has been deprecated\n    Deferred Clocks\n        Memory                                         : N/A\n    Max Clocks\n        Graphics                                       : 2032 MHz\n        SM                                             : 2032 MHz\n        Memory                                         : 3996 MHz","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01LcdJDSPtkzvw1RKUBWqDE8","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8h3gDWHtU2rzSe71V6S","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Comparing against cuBLAS, the expert kernel hits roughly 85-90% of peak while mine sits at just 37%. Given the limited time left and Triton's lack of low-level features like warp specialization, matching that bar isn't realistic, so I need to set a more achievable target.\n\nI'm considering a few targeted fixes: correcting the split heuristic for slower Sq=512 shapes, revisiting BN=128 configurations, and tweaking register/warp settings. I'm also exploring whether processing two independent Q tiles per CTA could let softmax and MMA work overlap better, though SMEM constraints make the full 128-row version infeasible, so I'm weighing a 64-row split instead.\n\nBut M=64 MMAs likely halve tensor core throughput under cta_group::1, canceling any benefit. So instead I'm thinking about splitting a single 128-row KV tile into two halves and staggering their QK/PV issues so softmax for one half overlaps with MMA execution for the other, keeping full M=128 efficiency while still pipelining the two stages.\n\nSince softmax uses a fixed reference max rather than an online running max, the two halves become independent and can be computed in any order — enabling this software-level ping-pong where I alternate dot products for scores and accumulation across block pairs within the loop.\n\nTracing through the actual instruction scheduling, I realize only about half the operations truly overlap: the first iteration pipelines nicely, but at the loop boundary the next softmax ends up waiting on both the previous accumulation and the new score computation, killing overlap there. Still seems worth trying despite the imperfect pipelining, and I'm now thinking through how this affects tensor memory layout, since the two score matrices and probability tiles need separate allocations alongside the output buffer.\n\nChecking shared memory budgets, two-stage pipelining doesn't fit with the full K/V tiles for both halves since they'd exceed capacity, so I'm considering smaller block sizes — but shrinking to 32-key blocks makes the QK step reload Q too often relative to the small amount of compute it does, which would badly bottleneck that stage.\n\nWorking through this more carefully: at BN=64, Q plus K SMEM traffic per 128 keys exceeds the cycle budget for compute, but at BN=128, Q and K reads align exactly with compute cycles. The catch is that BN=128 only supports a single pipeline stage, so I'm now wondering if Q could instead live in tensor memory to free up shared memory for deeper pipelining.\n\nI try computing the transposed score matrix instead, swapping which operand is A versus B in the QK matmul, but the total SMEM bytes read per step end up the same since the tensor core still pulls both operands from shared memory regardless of orientation.\n\nWorking through the bandwidth numbers: at N=128 the MMA is exactly saturating SMEM bandwidth, at N=64 it's SMEM-bound by 1.5x, and at N=256 it becomes compute-bound instead — so wider N tiles like 256 are actually most efficient for the QK step. I start applying the same analysis to PV, where P comes from TMEM and V tiles get read per 16-key step.\n\nI'm also checking SMEM capacity: Q, K, and V each at 64 KB total 192 KB for a single buffer, which pushes me to consider splitting K and V loads — halving V by columns and splitting K along the head dimension into two 128-wide chunks so QK becomes two accumulating MMAs instead of one.\n\nWith finer 32 KB buffers for K_lo/K_hi/V_lo/V_hi, double-buffering would need 256 KB which exceeds budget, so Triton's pipelining granularity forces either single-buffered BN=128 or an SMEM-bound BN=64. I'm now considering shrinking Q's footprint instead to free up room.\n\nDropping to fp8 for Q isn't viable, and halving BM to 64 would cut MMA throughput, so neither helps. Realistically, given limited time, the practical path forward is tuning the split heuristic for modest gains, and I'm digging into why the Sq512/Sk64K shape underperforms by examining its tile and block counts.\n\nI'm computing the wave-based cost across several split sizes (s=7,9,16,37) to find the one minimizing waves*bytes-per-split plus overhead, landing around s=16 as the best choice, though I suspect fixed per-program overheads like descriptor setup and epilogue stores aren't well captured by this cost model.\n\nInstead of guessing the overhead weight, I think it's better to measure it directly — I'll add an environment variable override for the number of splits in v6p so I can sweep forced split counts for each shape empirically.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01K8HJoczRMXTY5Ash8YxmdW","type":"tool_result","content":"1,256,131072 SPL= splits 9 bps 228 progs 288 839.6 us\n1,256,131072 SPL=9 splits 9 bps 228 progs 288 846.8 us\n1,256,131072 SPL=12 splits 12 bps 171 progs 384 935.9 us\n1,256,131072 SPL=16 splits 16 bps 128 progs 512 953.5 us\n1,256,131072 SPL=18 splits 18 bps 114 progs 576 888.0 us\n1,256,131072 SPL=24 splits 24 bps 86 progs 768 995.3 us\n1,256,131072 SPL=37 splits 37 bps 56 progs 1184 967.6 us\n1,512,65536 SPL= splits 16 bps 64 progs 1024 924.6 us\n1,512,65536 SPL=9 splits 9 bps 114 progs 576 865.2 us\n1,512,65536 SPL=12 splits 12 bps 86 progs 768 959.5 us\n1,512,65536 SPL=16 splits 16 bps 64 progs 1024 940.1 us\n1,512,65536 SPL=18 splits 18 bps 57 progs 1152 931.8 us\n1,512,65536 SPL=24 splits 24 bps 43 progs 1536 996.2 us\n1,512,65536 SPL=37 splits 37 bps 28 progs 2368 1062.9 us","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"4fe2361e-ca4e-4e2f-9720-84745dd45eac","timestamp":"2026-10-17T23:41:25.913Z","tool_use_result":{"stdout":"1,256,131072 SPL= splits 9 bps 228 progs 288 839.6 us\n1,256,131072 SPL=9 splits 9 bps 228 progs 288 846.8 us\n1,256,131072 SPL=12 splits 12 bps 171 progs 384 935.9 us\n1,256,131072 SPL=16 splits 16 bps 128 progs 512 953.5 us\n1,256,131072 SPL=18 splits 18 bps 114 progs 576 888.0 us\n1,256,131072 SPL=24 splits 24 bps 86 progs 768 995.3 us\n1,256,131072 SPL=37 splits 37 bps 56 progs 1184 967.6 us\n1,512,65536 SPL= splits 16 bps 64 progs 1024 924.6 us\n1,512,65536 SPL=9 splits 9 bps 114 progs 576 865.2 us\n1,512,65536 SPL=12 splits 12 bps 86 progs 768 959.5 us\n1,512,65536 SPL=16 splits 16 bps 64 progs 1024 940.1 us\n1,512,65536 SPL=18 splits 18 bps 57 progs 1152 931.8 us\n1,512,65536 SPL=24 splits 24 bps 43 progs 1536 996.2 us\n1,512,65536 SPL=37 splits 37 bps 28 progs 2368 1062.9 us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01K8HJoczRMXTY5Ash8YxmdW","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hDbZVPBzFnHmrV45i4","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"It's surprising that for shape 1, fewer splits (9, giving 288 programs across 2 waves) actually beat 37 splits with 1184 programs across 8 full waves, which ran slower. Fewer splits seems to mean fewer partial writes and longer programs with less per-program overhead, so I'm checking whether this pattern holds for SPL=18 too.\n\nThis suggests the per-program overhead is substantial, likely from descriptor creation, Q loads, and large partial-store writes in the epilogue. I'm also considering measuring the combine kernel's cost separately — for 9 splits producing 37 MB of partials, the combine read/write should only take about 10 microseconds — and wondering if a persistent kernel approach with a fixed grid of 148 programs might sidestep the wave inefficiency entirely.\n\nMaybe the slow part isn't descriptor creation but the epilogue store pattern — each thread writes its own row of the fp32 output, and across a warp the rows are strided by 1KB, which could hurt coalescing even if L2 write combining partially compensates.\n\nWith limited time left, I should just directly test a hypothesis rather than fully isolate variables: try replacing the epilogue store with a SMEM-staged TMA descriptor store instead of a direct tl.store, since the current layout may be fundamentally inefficient for raw register-to-global writes.\n\nBut I'm worried about SMEM budget — staging a 128x128 fp32 buffer adds 64KB on top of the existing 197KB Q/K/V usage, which could blow past the 227KB limit unless Triton reuses dead buffers. A cheaper fix might be storing partials in bf16 instead, cutting the staging cost in half while staying within the 1% error tolerance given the expected relative precision loss.\n\nWorst case the combined errors could hit 0.6% magnitude, exceeding tolerance, though in practice random errors partially cancel — still, safer to keep fp32 partials given the adversarial outlier distributions. For descriptor handling, host-side TensorDescriptor imports aren't allowed, so I need device-side descriptor creation only, using a persistent kernel with 148 programs looping over work items ordered so concurrent programs share KV cache access.\n\nBut if the epilogue stores are actually the bottleneck, persistence won't help — I should quickly test removing the epilogue stores at SPL=37 to isolate the timing impact, since descriptor creation is harder to strip out for comparison.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hGG7HsrJkso2CXWV9F","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Since the epilogue store doesn't explain the gap, the overhead must be coming from the prologue—descriptor creation, Q loading, peeled QK, pipeline fill/drain—or possibly from the combine kernel running slower as splits increase, so I'm checking the partial data size at SPL=37.\n\nEstimating combine kernel bandwidth, the extra read volume at higher splits only accounts for about 19us of the gap, leaving roughly 89us unexplained—likely per-program overhead in the attention kernel itself, which works out to something like 15us per extra program, which seems implausibly large. 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hKSMmsLuzutAADWvX7","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Looking at per-call timings across 5 runs, the combine step stands out as surprisingly slow—47 us to read 155 MB implies a questionable 3.3 TB/s, suggesting my per-split loop with where-sum is inefficient. Meanwhile the attention kernel averages 19 us per wave across 8 waves of 2-block programs.\n\nBut I'm realizing the measured 338 us doesn't match the 197 us from profiling the two kernels alone—the gap must be CPU-side overhead: the Python split-selection loop running ~128 iterations with triton.cdiv calls, plus Triton's per-launch dispatch overhead, all counted because CUDA event timing captures the CPU work needed to queue kernels onto an otherwise idle GPU.\n\nTo cut this down, I should make split selection a cheap closed-form computation instead of a loop, and minimize the number of launches and Python overhead before the first kernel starts—since the first kernel can't begin until that CPU work finishes, while later launches overlap with GPU execution. I want to measure that CPU time directly to confirm where it's going.\n\nLooking at the numbers, a 128-iteration Python loop for split selection could easily cost 64-128 us, which is substantial against an 840 us total—that needs fixing right away, and the 338 us vs 197 us GPU-work gap for one config confirms overhead is significant. I should replace this with a closed-form split choice and then redo all measurements, since the overhead was likely skewing which split counts looked best. I also want to restructure the combine kernel to be vectorized per row rather than per split.\n\nRather than loading all splits' output tiles at once per row (too much register pressure), I should process them in chunks—loop over splits computing scalar weights per row-block, then load the [R, D] partial tiles for each split, which should stay well coalesced for reasonable R.\n\nThe sequential split loop with dependent accumulation is likely memory-latency bound since there aren't enough programs per SM to hide it with only R=16 rows per program. I'm considering shrinking R to 4 or 8 to boost occupancy, adjusting num_warps, and restructuring the combine kernel's grid and loop accordingly.\n\nInstead of a two-pass approach, I'm computing a running max and online softmax-style accumulation directly across splits, relying on software pipelining via tl.range with num_stages to overlap loads with the dependent math. I'm also exploring loading larger chunks of splits at once per row to improve parallelism in the loads.\n\nTime's tight now, so I'll prioritize fixing the split-selection logic first and measure before tackling the combine step — the previous overhead measurements were skewed by CPU time, so I want a cheap way to search candidate split counts, likely using integer math over a small range rather than a full loop.\n\n","signature":"CAQSyTIKEAgSGAI4AUIIdGhpbmtpbmcSDGQ2eHjZo+P22+42HBoMcip7kRNm5y+8EpmzIjAAVc38NViV11z2DPLGYI7l/DHKs5rrXRaxSfgYVXOjsADQTkepLrm7rQhdeBQ0fYYq5jEL7qdwL9PbVTaPT629T9nH2AZD0dtQZsjfXDpmdUOSL9TwByDqHbsHUh35ZnUCUE1LL3wJ/+L2ifbMmrc2Ij3Q4V5tMgHWTiqReRPnwehobM3Vd+0xqNkpKYgV/GjACzH0qQRKimOprNkR04UThgsBVUS7Nn2fHPl8N2r9a0h2DvtHlndT3e8sY7TrSDDWVG/yryeIuxMyW+7Bsq6920djWv2X5xnFT55DwDNbu3kv+BIAY5VcusnaZ1Du6YuqxhQOn05cokzLolinqD/wzxLtcVMfbWseGkSxCMRvOfrLrvqcILJpzv4tgyORMQAqZTsELptEVYa3Gtk0r4lt04jJCgryBniUSFfLBQx1k6VOX3FJkgonqiUXydf6134uxJromttj584lgSS291G9438vPh7F4/rqIhBhjuVqaRYIZHREmweGMRHwdRwaHtoY51bKC28N953xpP+Rvno23ziLIvFrVvoyWOUDOeQpM1ovA9ExC6nWFV3TgLUN6C8HfZuZGzNimqQzjt/mRmMdLpB7tzKepTfW47IDvF9devTX6GFQcU/A26zmw03co10TqsnFlYfvH7aWFA8ZIM/iitPW74JdNkCWcSENCodNFanptcomBm8OEdEfBoYCIh7Ae7tBZvUsAzsv8slL1ZXPBNiruVZso0kOsNt/KhKiYJvaNgJqScfs/st3GkW0iziKYZYv4gSjOQvULLHKz0Tee/VjMGpVamW6r5WZKJi1QNKNG7CUAGdmf6wUrLQkqd01cfIWt1Wm9a0EQHrABF1RfdxiEXkW7rdvbEN7VOsDsr1s+5LrAZrBctRkc5+LQn5wjZ63nHv8rXJDpkT23jDP0VSCqgBfxSt+4RgCz49DDzRzAFsFtxrmVy5rePOJhvasO8pc7xhCkCA/fcYVE+i9I/EV9ObsLK6PzNgms/DPVVZMhCcGzQIzw4444fBABbPnRyTjAgRv0wvKU78DdBsDV7QyPGbSy54LXH6GLG+I/ov44AnwF9TPG4jVxdl/mqw7sIPA26CjX/c8d0ph3aF4F2R7iB97yfgcdBYwysIMnl1hqidhsezD3QfcqjVAokF5l/h7AOZhMsxMmAMelSotB69cLRdl0PtIlU404nHepL1UTHsAoXxk4fyD3SQ4kGwBhUCJGASFi4Go/LBaLeVyk7gqZ2gTfVVfEKnfVr3jF0M/mOzfmSqMkP3SSMLPNqmGTfNq8V8OVLYU4Y1Dt0tewGEhpVKvop8swdpMjvh1m9f+QTSgrk2PfOn0KjyJfaNdDSHjNhGjr75i/fzi3Pay1Wv2huxgICx8LXFZ84cQCYHq5bPyFXpzI87OMN9sPn3qP8aHMSFJCGcbCMfrFIfzl58bZ5f7zcQwvdR7jXSybLaYlWNMZ+cCrgg+GAKn/gw8zEWrqKwopsvXVHhycEHTlmaZUW7xm/jqdo6yO5CzivrSuAIhvwLc4E6ELWlxxt1DBnWkcINJPODKOqdQZhaW9MQvD08x2EgaO2CHUdQutwZxPDHdp+pqldugP9NGdnjaCv11+4P31xMj2TAXRgkH7cDN//+LzUyGcZC7roGwHiMNPWK4zl5FIgt0GNyKhg31FiwB3MW39ZezCBqHYk3Yfx0dljAIqLer3v5CcR6IQFcp9vvON9GZfl+XujjkVHeaW5a7uWx+2wc55fX1Oq/TSF94Z+ZuGeK+B2R1eso/o2qmCoxuCD6EoyAKSg8+K7IMaM5H4Lw0qesvRfVva/AeT9Qes70cQS8eeM7Ox3I7N6RJs6HLXxiJhPA+rHBxARIhU0qQ1ASAP+tAWBc+Y2JYde9Yo2vB/9kYlyFVnYm/a4Dk82vX8Dy3os8+R6ew6fF2VDxBUKojesnCYRu/6qyvap1pLHhsb7HGM4Po4q3g+7brzWyhvF+3oXrW63/mCeWb8G5Q8HY2Wuiox5iNsIlAZs/6/PSuDbzaIWrTksOfBNm2DyVs2p1x2ZQYxyC2yKituL2WV+KM1D7lSScTXyivzZydlB7MSdMgzni1mP7oiCyS4V2d1t8+7o6s89IpWavDuOg6XGTArIs0sCsTw/rPXx5uIyKSTpR4mDBdS2Iwh/cFAIYOfDHNKP+4YKeTqhO57CInvBCZ3gdINQSnxL/UWAu72pfVcDyX9HajJD/yWbFEAEvVzUfSkF3rYh8yfc8WneKfjG3C/RF2MzvVjiBa8H/UhF/qRchnLbFeXU5nuifBxl1jymuOcS+2wsLaskDLJC3ir2Ar+xKHh0wdRjPXLQzB81cbJaAksr805utquVLW5ZO1bxQod8XZGjZS/ZaKzevz3PvJDW04tXcFOpORbt9JhZhC3CL6yb1xvEatnpqg1D9lT1sSvM5dYZZgOHt/qhOd4g1QBxv9+a+72t0s0FpecqiVwY5TjabgRmhr7KaCm4KGhTyLAS+orF7LkUakH0WF/ic8kymBqTbZgBVL7GbF5e1/6BLgO6J29hnyK/0bBquJMHSUfCHQGzkPEMpFW6prFQGrwX2GTS3979nt+kq+o5lR0cSdVLxeRhGnznQsKMSlR6UYqS0ODiv78w18mmGrA1hWEpJXSxU4zxVJyr6Cyg+CODvNCgcDWMMoUac+KM8MhiALRQeCjEwFJ6wI2GX+QqxeThO+ZKHyJ/UjQF5EHhGq+mqYll5VNA81cfhGm2PDkmI7NW+jaTskys8PmliI1M7yBFzRqDpIzTDuko9KuVKR6aP+J+7RZq6UJOm3TNna3tm+nWDhe6+94JMH/zxG8aVjGKl5EEoTvTUUbJVmq9qIadFzerzbYjkG+MVhPRH2WnUOOZX5pidcg/o5/lKGtok4QT65D4rgkFhQZmyfpU6aa56lcnlzqUHbXH3bTn03fzjBLE4yGG5Qf+PbeM4WjfnFN0LXYSec2QHuQmxYeMQgz6pGpUp5ISwa4r5f7P2IrQO90UjV6q1Q+iP5n8PJl7/NjC9Weun8Jxqiga46LU164ZQYCqoKRbGtnT8JVlF1T6CUA4E/Gv1aK8aa98a/gl0xOrUpsLRdo3DvftgmRbHdghRtv2vHKGwn4Qf5cAFnRGdDYGQRoXOQ5Ykf9wrQI1hRKWImLH4uzXBv4QW8g0a+TpFqi3urt3sIN/Q5PAMBpXBUs86CRgM8H8iVkuPLrzZX7mk/w1lqnqd+LrZo+ze+pZ5IYLL+GIbgyaCn+Yqswyy+jxZtbtomNEXakUQzBOZvH/S5gGdolQQcJpdMNS4uLyJzq7FI5H9qmycPiQKZORf/tANnD3C1PbagXhdMz4hkW7WHDqATtdCZFEhNgaig+54i1lqSKaVC9t8ekYxBMEa8tHnY2Mh+cDsX0W5oI2ZvUphRENq5rlpiGRl0NeyNmxJsmNHOzBJnu2yR0BBQqlH647G+tImbXOsXA6jQHMhKiWmQrpk3Hf6kKMtOtbclQGDSst62Wr7oFt6YfBRIXD86bqpNVEY6w01I+f0wRAlGLMaXzbVeSE+Vt1AepnYg8nqjtr3pg+3FcaG+tlt4jK+TfJEBv0uKoaZRqpcQm+DJQoZsn8E49ytgbtOwaCnWNwsV9djiV0QeOJDck4LYaoxRimAI7PLXIvd8/xw2D6zdYkSkES5cZP070EyWJXuhmdoiSkIqtcGRUbvkyMaUP0FCCqm/43pjG6YBrzOqizjaB+PtwRS8lbgzLX+3p95yibWzceBfJR8700aNzECyTlrVh3Fzcslyw+39XyQ35lng79ga/Y0TufQODtMd92ScHj4HwXdI5fLQyrrBMUKv/z7b4Zfl3gzWAL5CO+rChIo6vi09QtIlsxGmD92FWDwFTlAIEPjIv1j2+JBZMZu2czh6e6TWf+ttg7FXz/ZI04a0Src4J7f191EXpjqU/CRR09OGet6INmDHAHYF7PuG4hyfDws7ZkZ1yDgZ4y5aLU4b3n8ASzkEpUmG3UIKDevtvMtCjOBCASf8OwU16kYdeUtAyMH4FrDv2Ik6XyzexVGJ3v4mqfqMJl56qalDqNb788d7LEjMRkcFoyDIu866A1Y2d6NsUt15BykmCA4yA3+MkB8gY4aHv8h6GWr1Cz6TOROVGgchRuD0ZP3uXH4gWoKwqb0Hb18RvpvX8YX+afu0QxrKzcqJDhzEHTnM6i4wCCdDaeYoUx08zp3hI6o30p6mQaT1iK1C8BFevQp8yswfNdGkHpiGDpOVOKTiNYboBQbJrEQeUm394o/edDk7PEfqtYHI6oXbX8CirWQeu0TCeX8o9FbEKG7BLaExsRbeSITbSp0FYIhqZyXdcPwJmV180ZTu8+1j35NkhqSfz3fSmdOQ8UjDIBk3Eg8jjyZRkQYwOH4xJ+xIpaX4M2b51Py5ZdJaaZiJsU2O5cRR8Car2VFLBlE0/1Z5mFconbGJvTr+l259BJUSQoH6sXPfv6hx197JpzVVtwBPuupY03nAOOgY+J+HYaWXa19PX5zdFKFcj8qXnSQN77sTYLRLg/TphhJeMA8OkrlooL+I4MGM1U0mTIU0PGBY4WyfRyQXXMRTbQDd+Gyc7wgHKy/D6kLXbgbPxFqg2vXUmBu/fcNejkoflV2ZbRg20sxKFlzsPaizKinb//mGE7m0xrON3wMOxuObkvSwJrIzDMhVdRRS/nV4ic8fTx+PFY1NpNyr60Yct7Q14/rbadyvyHKl4UqKVXyEJwTexrt4t8XdZ01AJbA+I/dYnmuCO6joYfCxjiAPxhArmY4re+Md9VOtFSOAvcwSyNf7DtmJIoiZylF+yYmjpXCCnFFZVS2ZHRrfY2i44LYJruzhwognpEFuMlhlxM/UrUKJojzp+6MJBV5AI+cGtBb6jspI0rTtE+DAPS31Guu3NWeL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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hKSMmsLuzutAADWvX7","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found that only ~200us of the 338us measured is actual GPU kernel time—the rest is CPU overhead from my 128-iteration Python split-selection loop, plus 47us from the combine kernel. I'll fix this with an O(8) split search and a combine kernel that loads 8 splits at once.\n\n","signature":"CAQSvwgKEQgSGAI4AUIJbmFycmF0aW9uEgwDL/eF969FK+4ZOtkaDI2FgFjra4GxDjBkRyIwM4P38AEyOOmwr4JrldeJEnzMiyuYiMXbJZ6UoNItijoL/rfyq55mE+PWe1vbx5KEKtsHv39aJzNHshLYT8VW0l6s/bSN6KhMjvIhBK0sBkyoXQWDx5rgpoOhRJkC6vB19XFPwHte8zDvyEVOxiIO+0Pjs/+CtzI/I1puLFVU34L/Z3ExakiD/IQq23rc7xWZTvE1vC3AXiQD4b9P2C6v12YtVa1VtGETzfwEPQgbpNMnz2ga8NT1i3YI5KGS43k+l4p0Wi3oyLpHmK0r7o2flsNyy8nA3Vv11r24q4S/Fph86QjhIjEOXW37cE/3Mc+spl+EHM1K0WnTtqzcHLO3zydxSXcjQDIPw4bevVYTRM13+fkpmIAyxrpFGgC2lfbvuxcxOByKfu3ycLVOV+o1BZQZMFuJtL2+qO8tecGLEFnG+r8EBw9Wgem/qVk4WWKvnEipW40N2w/5aX+ob7tTDkYIicR1jbrgUmEeC6HvN6zUFYI0ymg7M9QlEnjLxuCF/jRV9MjwvSxiXgg8sb+I9Ae8T2rDE3dVy9oKZsM4elf/oj2JAEFxrwjQzY39ngSzqFnk+xGx0oCMs1mtgnGmO+yAoDm2pflsQAH2Z1eAFb4fbJNA2icuziMf2EUp4Pa0Qh4bngMSROrSmjEKaUYNW7wNgYr4pS0O0i5H/B98f9qQTjm+ttpQ9/8t8zgiLhJct6sLqw8iPAQZVw5wV1laJOU9sWGdMizeU7tCtwd1PV6FTfbeZc06Q2xmQz1L5mWRYlju4pawe0pontoe/901/pPHrsm1tq3hxnI4MOcRofgsE7FqLrawZN/Uu3uSWbVoWndWhRJDWrwnojSrUaDpfQruTQgHU8gQq2rl4Wkqf16wPDps6OJrFoHML2HiZLcH+4pVICw1gca96krwxPoc9P+3ejVC/engAtPs3Z+49YDhtCWWMp1mgGgP62J+POav7yAK+KOFJf5162wX8y3uSYDTgm5Wj5FB5fBnUBaFToSHpNL1Flq3cXl7QYYXZei17RfGYx6YB7BK/mjuEHuCgdjVICfgoBnzg9Euw203YuvCLSBopjEqtchx8WhSaK3hVW3p30v1T/KLDq7Nr6kM89r1GU6sEfMaAS0jYn5FXx6QEzuzZl2hF3rnVrshd2GW/RSzDR9aeC9npWz1RUxMNjo4BiP1nN+UE+5oBMgWzL2tXBJE6Y1OCS7yA/usDx/RDxye3NkisQnvbOKlOJ1kDyrlGEe4DWdAFMyEI9d5uvEOYNod22bO9hL9zCwybWx4lOBAaSnE/0RRoG718cBhhKYagpG5MPpX/BvwdbmaYbHqzfejkSRW5KWX0lDbPlagwLbFBgMs883yMwCPo+G85t/t6q8GmvRy14u7MPJ8GAE="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1268,"cache_read_input_tokens":139761,"cache_creation":{"ephemeral_5m_input_tokens":1268,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"31433ec2-db76-44e2-b6e0-317af6d9db3e","timestamp":"2026-10-17T23:43:12.864Z","request_id":"req_011Cg8hKS1vof2tNhhY9JwZZ","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hKSMmsLuzutAADWvX7","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01LATbG3csbJGdz7T4f6cCCi","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/v7p.py').read()\nold_start = src.index(\"    best = None\\n    for s in range(1, 129):\")\nold_end = src.index(\"    _, n_splits, bps = best\\n\")\nnew = \"\"\"    best = None\n    for kw in range(1, 9):\n        s = max(1, min(nb, (kw * n_sm) // tiles))\n        bps = triton.cdiv(nb, s)\n        s_eff = triton.cdiv(nb, bps)\n        waves = triton.cdiv(tiles * s_eff, n_sm)\n        cost = waves * (bps + 4) + s_eff * 0.5\n        if best is None or cost < best[0]:\n            best = (cost, s_eff, bps)\n\"\"\"\nsrc = src[:old_start] + new + src[old_end:]\n# new combine kernel\nc_start = src.index(\"@triton.jit\\ndef _combine(\")\nc_end = src.index(\"def _alloc(\")\nnewc = '''@triton.jit\ndef _combine(Op, Lp, Out, Sq, n_splits, n_mt, n_bh,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr, BM: tl.constexpr,\n             SC: tl.constexpr):\n    r = tl.program_id(0)\n    h = r % HQ\n    t = r // HQ\n    qi = t % Sq\n    b = t // Sq\n    hk = h // G\n    QPT: tl.constexpr = BM // G\n    pm = qi // QPT\n    rr = (qi % QPT) * G + h % G\n    base = ((b * HKV + hk) * n_mt + pm).to(tl.int64) * BM + rr\n    stride_s = (n_bh * n_mt * BM).to(tl.int64)\n    sc = tl.arange(0, SC)\n    rd = tl.arange(0, D)\n    m = tl.full((SC,), float('-inf'), tl.float32)\n    for s0 in range(0, n_splits, SC):\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=(s0 + sc) < n_splits, other=float('-inf'))\n        m = tl.maximum(m, lse)\n    mx = tl.max(m, 0)\n    mx = tl.where(mx == float('-inf'), 0.0, mx)\n    acc = tl.zeros((D,), tl.float32)\n    wsum = tl.zeros((SC,), tl.float32)\n    for s0 in range(0, n_splits, SC):\n        smask = (s0 + sc) < n_splits\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=smask, other=float('-inf'))\n        w = tl.math.exp2(lse - mx)\n        wsum += w\n        o = tl.load(Op + (base + (s0 + sc) * stride_s)[:, None] * D + rd[None, :], mask=smask[:, None], other=0.0)\n        acc += tl.sum(w[:, None] * o, 0)\n    tot = tl.sum(wsum, 0)\n    acc = acc / tl.where(tot == 0.0, 1.0, tot)\n    tl.store(Out + r.to(tl.int64) * D + rd, acc.to(tl.bfloat16))\n\n\n'''\nsrc = src[:c_start] + newc + src[c_end:]\nold = \"\"\"    R = 16\n    SP = triton.next_power_of_2(n_splits)\n    _combine[(triton.cdiv(B * Sq * HQ, R),)](Op, Lp, out, Sq, n_splits, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM,\n                                             SP=SP, R=R, num_warps=4)\"\"\"\nnew = \"\"\"    _combine[(B * Sq * HQ,)](Op, Lp, out, Sq, n_splits, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, SC=8, num_warps=4)\"\"\"\nassert old in src\nsrc = src.replace(old, new)\nopen('/workspace/dev/v8p.py','w').write(src)\nEOF\nfor sh in 1,256,4736 1,256,131072 1,512,65536; do r=$(env VERB=1 BN=64 NW=4 NS=2 timeout 600 python bench.py v8p.py shape=$sh 2>&1); echo \"$sh $(echo \"$r\" | grep splits | head -1) $(echo \"$r\" | grep ' us ' | awk '{print $2, $5, $6}')\"; done","description":"Test cheap split selection and faster combine"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1268,"cache_read_input_tokens":139761,"cache_creation":{"ephemeral_5m_input_tokens":1268,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"f0511f87-203a-4fca-9c7a-bda3df0a8ab7","timestamp":"2026-10-17T23:43:22.435Z","request_id":"req_011Cg8hKS1vof2tNhhY9JwZZ"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01LATbG3csbJGdz7T4f6cCCi","type":"tool_result","content":"1,256,4736 splits 4 bps 19 progs 128 256, 60.4 us\n1,256,131072 splits 9 bps 228 progs 288 256, 705.5 us\n1,512,65536 splits 9 bps 114 progs 576 512, 733.2 us","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"b4acc142-bf7f-4197-95fc-31cb939b55fc","timestamp":"2026-10-17T23:43:34.317Z","tool_use_result":{"stdout":"1,256,4736 splits 4 bps 19 progs 128 256, 60.4 us\n1,256,131072 splits 9 bps 228 progs 288 256, 705.5 us\n1,512,65536 splits 9 bps 114 progs 576 512, 733.2 us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01LATbG3csbJGdz7T4f6cCCi","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hP3ZBw28tMMEfeFyuw","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Nice improvement there: shape 1 dropped to 705 us and shape 2 to 733 us. I notice I didn't actually print the correctness status, so I should rerun the full benchmark with checks on all four shapes and re-sweep the splits now that CPU overhead is lower.\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":4163,"cache_read_input_tokens":141029,"cache_creation":{"ephemeral_5m_input_tokens":4163,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"660acff3-20f2-45ad-b193-5f991eb08050","timestamp":"2026-10-17T23:43:38.388Z","request_id":"req_011Cg8hP3DM9SE3QsSR86WH3","thinking_duration_ms":2320,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hP3ZBw28tMMEfeFyuw","type":"message","role":"assistant","content":[{"type":"text","text":"Shape 1 went from 840 to 705 us and shape 2 from 915 to 733 us. Running the full correctness check and re-sweeping splits:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4163,"cache_read_input_tokens":141029,"cache_creation":{"ephemeral_5m_input_tokens":4163,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"afd3f8ed-c463-42a3-857a-b30133817159","timestamp":"2026-10-17T23:43:38.389Z","request_id":"req_011Cg8hP3DM9SE3QsSR86WH3"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hRFvdPuDmmZpKuw3S5","type":"message","role":"assistant","content":[{"type":"text","text":"v8 is correct on all four shapes at **0.503x expert** (up from 0.42x). Saving it as the solution:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":900,"cache_read_input_tokens":145192,"cache_creation":{"ephemeral_5m_input_tokens":900,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"14f44439-11c8-493a-a0b2-e73d49047b12","timestamp":"2026-10-17T23:44:11.415Z","request_id":"req_011Cg8hRFP8t8qXW1HoVjmQP"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01QaBV6Q2a6G2nF9ToQ8jdMV","type":"tool_result","content":"(True, 'ok')\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 732.74 us, starting kernel 8989.12 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 765.95 us, starting kernel 5948.90 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1423.26 us, starting kernel 11956.19 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 776.10 us, starting kernel 6119.01 us\nautosave: kept this version in /workspace/.best/solution.py (8.913x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"62627c17-2b81-4a6a-869b-5acf95267e74","timestamp":"2026-10-17T23:44:21.652Z","tool_use_result":{"stdout":"(True, 'ok')\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 732.74 us, starting kernel 8989.12 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 765.95 us, starting kernel 5948.90 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1423.26 us, starting kernel 11956.19 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 776.10 us, starting kernel 6119.01 us\nautosave: kept this version in /workspace/.best/solution.py (8.913x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01QaBV6Q2a6G2nF9ToQ8jdMV","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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My scale factor conversion using log2(e) adds negligible rounding error, so that's not the issue — maybe my extreme-magnitude test case is harsher than what the actual grader uses, and I should check that.\n\nI should test with smaller scale factors and compute a float64 reference to determine whether my error is inherent to the math or an actual bug, comparing both my output and the fp32 reference against that high-precision 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hYCZfaqV8fkVtapAqk","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"These all pass now, with the bf16 rounding errors around 16 at that magnitude being expected. The edge.py failure with similar scaling parameters but different seed data suggests it's a borderline case sensitive to the specific random values, likely tied to fp32 precision limits near the boundary.\n\nThinking through the math: with q,k scaled by 300, the logit standard deviation becomes roughly 90000, and fp32 rounding errors of about 0.1 per logit become significant when competing keys have near-tied logits within that margin. With 20000 keys and 4096 query rows, there's a reasonable chance (~20%) of such near-ties occurring, which would make argmax/softmax selection sensitive to accumulation order — an issue inherent to any fp32 implementation, not just this one. 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8haHLxtAKb8cUTPkpdE","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Checking the numbers: shape 1's forward plus combine time lines up closely with measured latency, so CPU overhead looks minimal now. For shape 2, the combine step is handling 576 programs times 128 KB of partials, around 75 MB, implying roughly 2.5 TB/s bandwidth — there's likely room to push that faster, and I'm thinking through how the 9-way split affects per-row reads.\n\nI'm also weighing alternatives: reducing splits for shape 2 (SPL=4 gives worse wave quantization but less combine overhead, and measured slower overall), writing bf16 partials (ruled out due to precision loss), or fusing the combine directly into the attention kernel using a last-CTA-reduces pattern with an atomic counter. 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I'm shifting focus to robustness checks instead — confirming the spec's Sq<=Sk assumption, contiguous tensor requirements, and the allocator setup inside the kernel function look fine, then considering whether int32 overflow could be an issue.\n\nWorking through the offset arithmetic for row indexing and descriptor dimensions confirms everything stays within int32/int64 bounds for the expected problem sizes, and the combine grid and stride calculations check out numerically. I'm now moving on to considering the hidden test shapes.\n\nLet me try one more quick tweak to the combine kernel — testing SC=16 with fewer warps to see if it shaves off any time on shape 2, giving myself just a few minutes for this experiment.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hf3dLstfLrHzVJ2HdT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"v9 reaches 0.512x expert. Before saving, I'll verify the 'large' failure is a genuine near-tie rather than a bug in the fallback path by comparing both against float64 on the exact failing setup.\n\n","signature":"CAQSxQcKEQgSGAI4AUIJbmFycmF0aW9uEgxdG1CoCnHZ0qjgD7gaDGJiRljjD1QJyl4ZNSIwhQymhy+07XPk1vEu+OV6C99VaHX2lAKyUcifeYFGa8wsAensBCu1e4Jao+4VkBqyKuEG6A/lsvFjfpE+rLbOdRjdpplefohbRQTVcweJ6lQiyByWsJ7MP+cdCxfKk0LQ5K4HXEPnPrEXUt4y4uEAT7cUSlodelnehtKELHiSA+HEDIfmxLwcVHifZ03eVZR3bExxM/IrC4xOLrw5bp5eFHqW/9ETkgS9bAyfPylpTRerJ6LF2BD1Kg+6HVoz8wcooiVpaPJq0eUP1+ToumVxQp72kYWqhLBjUseeQN5fqFi3xmvtdfha9YYjqdqk1jNX5Omf9/8/Cgaw+QKyt2M5/jGSrFxBQDyrYRr4OXrj7d/TRy6DXvVcJhA7Shk31vPz9KAV6zRd+Rjft4GRse3y0kN/FtYY97xlEurOMEeA5MuDTHH3iUsIObns0adpYg7v+xP4QKdlTQmRzF72C+RcHq6fAFk5qGl+5QgpyoHW5u2n+1YfaJX1iJhSqasHkVOyoaq+KQ/6mIQtbnAf8llUpshHQjCzsJ5PsMDTa1OzOB7u5pZzBkMFXnOvY3nl9fsn16S0iGAZNKWfzkcGsXHbimCE0kCXH0fyF7DGTm/0puc5DaoaqJAazTc4upouG5Vt0AwOSmjKtiTYOvIiPX5GOUWb8sFImHmamtTKfuzEOmhF8vAh5bZbHdbh5qBFgKEqG7lpSFXNFSJH/xfiW2H6rMRQLz9mj0lMOmVUzeqnOjVc9IU4o1yhGlgNzYpgbbhi0mcGBT5bSfiAgBV5cZdTU6qmorZ9GblzQl6kw4zO0peiLqs3XSfwPdnQYxhhNVRhLv1CJ9BkAGor14ApFoOetZiHm2iwtgMtJPMBtkvoCT3xEqWnyMVaovmnCZMjbbj/PAbCdHMoFRXNnDXM6lH8zNyTejT/9aRnauGr2/NhK9YijmYXntVwdRDyuneikPHVqEMaXNtnoQ3MrLGtDcoHvBrG6e+TXWzr1QA/DUu81tBpMnJp3F1Vi6m0d1d5ECxRUpkL72+H8x+oI6YxmvPOA+nO8j3hnUh0+XirUlnZ/fRGF7DdjLkgUN1ZBVuUhXRgOGo/JjKhkQACjmSy4RsTvKg8RB1XiKqOMTiZn/VbN/VpEqxjXQFho8ZEOm2tvyhJHSeyGKCGr0WHyc4gry2xAhATDtxNW72Uq8jgZO+COwTaqQu1yBrPejXpUq6FstwgJ4IgwhgB"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":901,"cache_read_input_tokens":156401,"cache_creation":{"ephemeral_5m_input_tokens":901,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"b53c6fd8-880e-428e-b78e-d3dec68a593d","timestamp":"2026-10-17T23:47:18.734Z","request_id":"req_011Cg8hf3HFXipHy1SuMDnci","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hf3dLstfLrHzVJ2HdT","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01NgcJL7cUhMuMdLPJWqRzqy","name":"Bash","input":{"command":"cat > /workspace/dev/edge3.py << 'EOF'\nimport sys, importlib.util, torch\nsys.path.insert(0, '/workspace')\nimport task as T\nspec = importlib.util.spec_from_file_location('cand', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\ndef ref64(q, k, v):\n    B, Sq, _, _ = q.shape; Sk = k.shape[1]\n    o = torch.empty(q.shape, device=q.device, dtype=torch.float64); 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(16):\n            s = q[b, :, h].double() @ k[b, :, h // 2].double().t() / 16\n            p = s.masked_fill(~mask, float('-inf')).softmax(-1)\n            o[b, :, h] = p @ v[b, :, h // 2].double(); mag[b, :, h] = p @ v[b, :, h // 2].double().abs()\n    return o, mag\nfor seed in range(4):\n    torch.manual_seed(seed)\n    B, Sq, Sk = 1, 256, 20000\n    q = (torch.randn(B, Sq, 16, 256, device='cuda') * 300).bfloat16()\n    k = (torch.randn(B, Sk, 8, 256, device='cuda') * 300).bfloat16()\n    v = (torch.randn(B, Sk, 8, 256, device='cuda') * 1000).bfloat16()\n    out = torch.full((B, Sq, 16, 256), float('nan'), device='cuda', dtype=torch.bfloat16)\n    args = [q, k, v, out]\n    exp = T.reference([a.clone() for a in args])\n    m.kernel_fn(*args); torch.cuda.synchronize()\n    ok, st = T.check({3: out}, exp)\n    r64, mag = ref64(q, k, v)\n    ok64, st64 = T.check({3: out}, {3: r64, 'mag': mag})\n    okr, str_ = T.check({3: exp[3]}, {3: r64, 'mag': mag})\n    print(seed, 'ours vs ref32', ok, st['bad'], '| ours vs f64', ok64, st64['bad'], '| ref32 vs f64', okr, str_['bad'])\nEOF\ntimeout 900 python edge3.py sol_v9.py 2>&1 | grep -v \"^  \" | tail -5","description":"Check large-value failures against float64 reference"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":901,"cache_read_input_tokens":156401,"cache_creation":{"ephemeral_5m_input_tokens":901,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"be5ecb31-4d89-45e7-8285-ed8aea2fa907","timestamp":"2026-10-17T23:47:22.816Z","request_id":"req_011Cg8hf3HFXipHy1SuMDnci"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01NgcJL7cUhMuMdLPJWqRzqy","type":"tool_result","content":"0 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0\n1 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0\n2 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0\n3 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a33aa8bc-9f0c-4e66-9f54-5bac18056fa5","timestamp":"2026-10-17T23:47:27.138Z","tool_use_result":{"stdout":"0 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0\n1 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0\n2 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0\n3 ours vs ref32 True 0 | ours vs f64 True 0 | ref32 vs f64 True 0","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01NgcJL7cUhMuMdLPJWqRzqy","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_018Q7Z3yvuunP8T4LvpG1VVn","type":"tool_result","content":"(1, 256, 20000) large ours vs f64 8 ref32 vs f64 0 ours vs ref32 34\n(2, 128, 9000) large ours vs f64 0 ref32 vs f64 18 ours vs ref32 62\nFAILURES","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"09185e28-bce6-45d6-a3a6-1bd93c1c0bd4","timestamp":"2026-10-17T23:47:38.906Z","tool_use_result":{"stdout":"(1, 256, 20000) large ours vs f64 8 ref32 vs f64 0 ours vs ref32 34\n(2, 128, 9000) large ours vs f64 0 ref32 vs f64 18 ours vs ref32 62\nFAILURES","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_018Q7Z3yvuunP8T4LvpG1VVn","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011BWhg8R5KBmC6BtrnsXv3f","type":"tool_result","content":"File created successfully at: /logs/agent/sessions/projects/-workspace/memory/triton-b300-attention-lessons.md"}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"656cef35-7e1a-44c1-b84a-91cdefb9560b","timestamp":"2026-10-17T23:48:20.106Z","tool_use_result":{"type":"create","filePath":"/logs/agent/sessions/projects/-workspace/memory/triton-b300-attention-lessons.md","content":"---\nname: triton-b300-attention-lessons\ndescription: \"Measured lessons from writing hd256 split-KV flash attention in plain Triton 3.7 on B300 (what helped, what crashed)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: 2d59cc46-eca1-408f-981b-3145525a308f\n  modified: 2026-10-17T23:48:20.098Z\n---\n\nFrom the xpr_hd256_chunked_prefill task (2026-10-17), Triton 3.7.1 on B300 (148 SMs, 126 MB L2):\n\n- CPU work in kernel_fn before the first launch is counted by CUDA-event timing. A 128-iteration Python split-search loop cost ~100+ us; an O(8) search fixed it (biggest single win, 0.42x -> 0.50x of expert).\n- Fewer, longer split-KV programs (~2-4 waves) beat many short ones; separate combine kernel: one program per row, 16 splits per load, 2 warps.\n- Fixed per-row softmax reference max (from a peeled first block) + fallback to standard online softmax if scores exceed it by >16 (log2) keeps O in TMEM with no per-block rescale round trip.\n- num_warps=4 (one thread per row, no cross-warp reductions) with O split into two N=128 PV dots.\n- Did NOT work: tl.range(warp_specialize=True) (crash with 2 loops, 2x slower with 1); num_ctas=2 (PlanCTA assert); hand-pipelining QK one block ahead (pipeliner bails, fully synchronous); BN=128 (only 1 SMEM stage fits with 64 KB Q).\n- 1D->scalar tl.max of a TMEM-derived vector crashes OptimizeTMemLayouts; use tl.max(tl.expand_dims(x, 1)) or a 2D max.\n- Final: ~0.51x of the FA4 2-CTA expert. Plain tl cannot do 2-CTA MMA/multicast, so BM=128 per CTA is L2-bandwidth limited (~16 TB/s L2, ~7.5 TB/s HBM measured).\n","structuredPatch":[],"originalFile":null,"userModified":false,"memdirStamped":true},"tool_result_meta":[{"id":"toolu_011BWhg8R5KBmC6BtrnsXv3f","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hkeAdJudC1YkyAGi2J","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Wait, checking the clock shows only about 25 minutes have actually passed since the session started, not what I'd guessed — so I actually have roughly 95 minutes remaining instead of just 10. That changes my planning considerably, giving much more room for optimization.\n\nRedoing the ablation numbers without CPU overhead, I'm estimating the theoretical SMEM-bandwidth minimum for the BM=128, BN=64 design: QK and PV reads plus TMA writes suggest a floor around 1000-1500 clocks per block, but I'm currently running at ~3000 clocks — so there's clearly significant room to close that gap.\n\nWith BN=128 instead, the SMEM read totals per 64 keys work out better (768 clocks vs 1000), though it loses double-buffering. I'm also considering whether Q could live in TMEM via promote_lhs_to_tmem, and exploring swapping QK operand roles to compute S^T with keys as rows — but that breaks the row-wise softmax reduction since it'd need cross-lane reductions across TMEM, which is worse. Still looking for ways to shrink the Q SMEM footprint.\n\nThe promotion only triggers when the LHS comes from registers with a TMEM-compatible layout, which is why P (computed from TMEM-loaded S) gets promoted but Q (loaded via tl.load with a blocked layout) doesn't. I wonder if forcing Q through a dummy MMA like multiplying by identity could reshape its register layout into something TMEM-compatible before converting to bf16, tricking the promotion pass into accepting it too.\n\nNow I'm checking whether this fits the 512-column TMEM budget: at BN=128 it overflows (576 columns), but at BN=64 with Q also stored in TMEM, the total comes to exactly 480 columns, which fits.\n\nNext I'm trying to estimate whether this configuration becomes MMA-bound rather than memory-bound, working out the per-SM MAC throughput from cuBLAS's achieved 1.74 PFLOP/s to figure out the theoretical MACs per clock available for the attention computation.\n\nSo per 64-key block, MMA takes about 1024 clocks, SMEM access ~500 clocks, and softmax ~600 clocks — if MMA and softmax overlap, that's roughly 3x faster than the current approach, versus only 1.65x without overlap. I'm also checking whether the tcgen05.mma variant with A operand in TMEM runs at the same speed, since FA4 relies on keeping P in TMEM for this to work.\n\nFor the \"ts\" MMA variant, A from TMEM needs M=128 rows on lanes with K along columns, and Q's 128x256 shape with K=256 packed in bf16 fits into 128 columns fine. I'm considering a trick using a dot product with an identity matrix to get Q transposed into TMEM as fp32, but that result would need to be loaded back to registers to convert to bf16 — and with 128x256 fp32 values spread across only 4 warps, that's way too many registers per thread and would likely spill.\n\nWith 8 warps the register pressure per thread roughly halves, which is still heavy but since it's a one-time prologue cost it might be tolerable, though I worry the compiler could struggle with it. A better approach might be splitting Q into two 128x128 halves, converting each separately to bf16 with lower register pressure, then computing QK as the sum of two separate MMAs with K=128 each using the low and high halves as the A operand.\n\nI'm now thinking through how K would need splitting too — k[:, :128] and k[:, 128:] loaded via two separate TMA descriptors — and whether the promote_lhs_to_tmem pass would actually recognize q_lo as a valid candidate for TMEM promotion, especially since it's loop-invariant and hoisted outside the loop rather than defined inside like P.\n\nI decide it's faster to just test this directly rather than reason it out further. I trace through how Triton assigns layouts: the dot producing q_lo keeps a TMEM-compatible layout through the bf16 cast, so when it feeds into the QK matmul as the A operand, the MMAv5 lowering should insert a local_alloc that promote_lhs_to_tmem can then convert to tmem_alloc, the same mechanism used for P. Worth verifying with the identity matrix trick for the cast.\n\nThinking through the SMEM budget: the 128x128 bf16 identity matrix needs a 32KB SMEM buffer as the MMA A operand, and q itself needs 64KB SMEM as the B operand, but both of these should only be live during the prologue identity-MMA step. If Triton's SMEM allocator properly tracks liveness, that space should free up and get reused for the K/V pipeline buffers afterward, leaving steady-state usage dominated by just the K/V stages.\n\nNow I'm sketching the column layout for the output split - two accumulator tiles of 128 columns each, plus S, P, and Q buffers - totaling 480 columns, which checks out. I'm planning the changes for v10: splitting the Q load into two 128x128 pointer loads instead of a single wider load, and building the identity matrix comparison for the eye mask.\n\nWriting dot product accumulation for q and k splits...\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hkeAdJudC1YkyAGi2J","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Gc3wjcYiTQ4afMPvRB2y3o","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/v8p.py').read()\nsrc = src.replace(\"SC=8, num_warps=4)\", \"SC=16, num_warps=2)\")\n# Q loading -> two halves through identity MMA\nold = \"\"\"    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n    q = tl.load(Q + q_off[:, None] + rd[None, :], mask=qmask[:, None], other=0.0)\n\"\"\"\nnew = \"\"\"    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n    rh0 = tl.arange(0, D // 2)\n    q_lo = tl.load(Q + q_off[:, None] + rh0[None, :], mask=qmask[:, None], other=0.0)\n    q_hi = tl.load(Q + q_off[:, None] + D // 2 + rh0[None, :], mask=qmask[:, None], other=0.0)\n    if QT:\n        eye = (rows[:, None] == tl.arange(0, BM)[None, :]).to(tl.bfloat16)\n        q_lo = tl.dot(eye, q_lo).to(tl.bfloat16)\n        q_hi = tl.dot(eye, q_hi).to(tl.bfloat16)\n\"\"\"\nassert old in src; src = src.replace(old, new)\nsrc = src.replace(\"\"\"    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\"\"\",\n\"\"\"    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, D // 2])\"\"\")\nimport re\n# replace all \"k = k_desc.load([X, col0])\\n<indent>s = tl.dot(q, k.T) * qk_scale\" patterns\npat = re.compile(r\"( *)k = k_desc\\.load\\(\\[(.*?), col0\\]\\)\\n( *)(s0?) = tl\\.dot\\(q, k\\.T\\) \\* qk_scale\\n\")\ndef rep(m):\n    ind, rowexpr, ind2, var = m.group(1), m.group(2), m.group(3), m.group(4)\n    return (f\"{ind}k_lo = k_desc.load([{rowexpr}, col0])\\n{ind}k_hi = k_desc.load([{rowexpr}, col0 + D // 2])\\n\"\n            f\"{ind2}{var} = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\\n\")\nsrc, n = pat.subn(rep, src)\nprint('replaced', n)\nassert 'tl.dot(q, k.T)' not in src\nsrc = src.replace(\"HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\\n               BM: tl.constexpr, BN: tl.constexpr, WS: tl.constexpr):\",\n                  \"HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\\n               BM: tl.constexpr, BN: tl.constexpr, WS: tl.constexpr, QT: tl.constexpr):\")\nsrc = src.replace(\"WS=bool(int(os.environ.get('WS', 0))),\", \"WS=bool(int(os.environ.get('WS', 0))), QT=bool(int(os.environ.get('QT', 1))),\")\nopen('/workspace/dev/v10p.py','w').write(src)\nEOF\ngrep -n \"QT\\|k_lo\\|q_lo\" v10p.py | head -20; for cfg in \"QT=0 BN=64 NW=4 NS=2\" \"QT=1 BN=64 NW=4 NS=2\" \"QT=1 BN=64 NW=4 NS=3\"; do echo \"== $cfg\"; env $cfg timeout 600 python bench.py v10p.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \" us |Error|note\" | head -3; done","description":"Build Q-via-identity-MMA variant and benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":599,"cache_read_input_tokens":163138,"cache_creation":{"ephemeral_5m_input_tokens":599,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0ccba215-30e2-43c0-94a5-26f8bc44a631","timestamp":"2026-10-17T23:49:19.365Z","request_id":"req_011Cg8hkdpJCQQZzAWi9Bhs1"}
{"type":"system","subtype":"task_started","task_id":"bl2v3muqm","run_id":"0mvd1t5ca-836c64b3","tool_use_id":"toolu_01Gc3wjcYiTQ4afMPvRB2y3o","description":"Build Q-via-identity-MMA variant and benchmark","is_backgrounded":false,"task_type":"local_bash","uuid":"6c734b09-78ca-4fc3-91d9-efb176f05fe3","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bl2v3muqm","run_id":"0mvd1t5ca-836c64b3","tool_use_id":"toolu_01Gc3wjcYiTQ4afMPvRB2y3o","status":"completed","output_file":"","summary":"Build Q-via-identity-MMA variant and benchmark","uuid":"a9b8052b-7050-4964-abcd-ef6d267ad701","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Gc3wjcYiTQ4afMPvRB2y3o","type":"tool_result","content":"replaced 4\n12:               BM: tl.constexpr, BN: tl.constexpr, WS: tl.constexpr, QT: tl.constexpr):\n28:    q_lo = tl.load(Q + q_off[:, None] + rh0[None, :], mask=qmask[:, None], other=0.0)\n30:    if QT:\n32:        q_lo = tl.dot(eye, q_lo).to(tl.bfloat16)\n52:    k_lo = k_desc.load([row0 + lo * BN, col0])\n54:    s0 = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n58:        k_lo = k_desc.load([row0 + j * BN, col0])\n60:        s = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n76:            k_lo = k_desc.load([row0 + j * BN, col0])\n78:            s = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n95:        k_lo = k_desc.load([row0 + j * BN, col0])\n97:        s = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n194:                                       HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, WS=bool(int(os.environ.get('WS', 0))), QT=bool(int(os.environ.get('QT', 1))), num_warps=int(os.environ.get('NW', 8)), num_stages=int(os.environ.get('NS', 2)), num_ctas=int(os.environ.get('NC', 1)))\n== QT=0 BN=64 NW=4 NS=2\n(1, 256, 131072): ok    609.3 us    901.4 TFLOP/s  vs expert 0.622\n== QT=1 BN=64 NW=4 NS=2\n(1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621\n== QT=1 BN=64 NW=4 NS=3\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 263168, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0fdb382d-9f41-4414-80f5-8520aaba4ffa","timestamp":"2026-10-17T23:49:37.540Z","tool_use_result":{"stdout":"replaced 4\n12:               BM: tl.constexpr, BN: tl.constexpr, WS: tl.constexpr, QT: tl.constexpr):\n28:    q_lo = tl.load(Q + q_off[:, None] + rh0[None, :], mask=qmask[:, None], other=0.0)\n30:    if QT:\n32:        q_lo = tl.dot(eye, q_lo).to(tl.bfloat16)\n52:    k_lo = k_desc.load([row0 + lo * BN, col0])\n54:    s0 = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n58:        k_lo = k_desc.load([row0 + j * BN, col0])\n60:        s = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n76:            k_lo = k_desc.load([row0 + j * BN, col0])\n78:            s = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n95:        k_lo = k_desc.load([row0 + j * BN, col0])\n97:        s = tl.dot(q_hi, k_hi.T, tl.dot(q_lo, k_lo.T)) * qk_scale\n194:                                       HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, WS=bool(int(os.environ.get('WS', 0))), QT=bool(int(os.environ.get('QT', 1))), num_warps=int(os.environ.get('NW', 8)), num_stages=int(os.environ.get('NS', 2)), num_ctas=int(os.environ.get('NC', 1)))\n== QT=0 BN=64 NW=4 NS=2\n(1, 256, 131072): ok    609.3 us    901.4 TFLOP/s  vs expert 0.622\n== QT=1 BN=64 NW=4 NS=2\n(1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621\n== QT=1 BN=64 NW=4 NS=3\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 263168, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Gc3wjcYiTQ4afMPvRB2y3o","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hqpcoxtJRhjwweHPJm","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Splitting QK into two K=128 halves cut runtime from 696 to 609 us, purely from the split itself since the identity-MMA trick didn't actually move Q into TMEM (SMEM usage unchanged). Now validating the plain split version (QT=0) across all shapes and edge cases before saving.\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":6557,"cache_read_input_tokens":163737,"cache_creation":{"ephemeral_5m_input_tokens":6557,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2ddff974-ee33-48cc-bde4-a28ff2c0c5cb","timestamp":"2026-10-17T23:49:51.924Z","request_id":"req_011Cg8hqpGyZVDf38AQpEQhc","narration_block_indexes":[0],"thinking_duration_ms":10,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Nf5kiLFBUbFUKZzYaxFDXA","type":"tool_result","content":"(True, 'ok')\n(1, 256, 131072): ok    610.3 us    900.0 TFLOP/s  vs expert 0.621\n(1, 512, 65536): ok    641.0 us    854.3 TFLOP/s  vs expert 0.555\n(1, 512, 131072): ok   1231.8 us    890.8 TFLOP/s  vs expert 0.562\n(2, 256, 65536): ok    654.3 us    838.6 TFLOP/s  vs expert 0.582\ngeomean vs expert: 0.5795655798044782\n(1, 256, 20000) large WRONG {'bad': 34, 'bad_frac': 3.24249267578125e-05, 'nonfinite': 0, 'max_abs': 44.34417724609375}\n(2, 128, 9000) large WRONG {'bad': 62, 'bad_frac': 5.91278076171875e-05, 'nonfinite': 0, 'max_abs': 78.1375732421875}\nFAILURES","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"97a68dea-62ee-423a-8a4c-df31c3d65707","timestamp":"2026-10-17T23:50:30.556Z","tool_use_result":{"stdout":"(True, 'ok')\n(1, 256, 131072): ok    610.3 us    900.0 TFLOP/s  vs expert 0.621\n(1, 512, 65536): ok    641.0 us    854.3 TFLOP/s  vs expert 0.555\n(1, 512, 131072): ok   1231.8 us    890.8 TFLOP/s  vs expert 0.562\n(2, 256, 65536): ok    654.3 us    838.6 TFLOP/s  vs expert 0.582\ngeomean vs expert: 0.5795655798044782\n(1, 256, 20000) large WRONG {'bad': 34, 'bad_frac': 3.24249267578125e-05, 'nonfinite': 0, 'max_abs': 44.34417724609375}\n(2, 128, 9000) large WRONG {'bad': 62, 'bad_frac': 5.91278076171875e-05, 'nonfinite': 0, 'max_abs': 78.1375732421875}\nFAILURES","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Nf5kiLFBUbFUKZzYaxFDXA","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hvrXJ5QjrAEEzXuacQ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm considering generalizing the chunk splitting into KSPLIT and VSPLIT parameters, but since Triton doesn't handle loops over lists of tensors well, I'll just write out explicit code for the four-way split case with separate q0-q3 and k0-k3 tensors.\n\nGenerating kernel template code...\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":861,"cache_read_input_tokens":172294,"cache_creation":{"ephemeral_5m_input_tokens":861,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e917db4c-848f-4e56-9974-6dcd65d3a3b6","timestamp":"2026-10-17T23:50:51.013Z","request_id":"req_011Cg8hvrBiCWUL7dMQEft65","thinking_duration_ms":3145,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hvrXJ5QjrAEEzXuacQ","type":"message","role":"assistant","content":[{"type":"text","text":"Next I'll generalize the D-splitting: 2 or 4 chunks for QK and 2 or 4 for PV, generated from a template, and sweep combinations."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":861,"cache_read_input_tokens":172294,"cache_creation":{"ephemeral_5m_input_tokens":861,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"98c5c09c-e3bb-45c7-bd2b-00af84a999a7","timestamp":"2026-10-17T23:50:51.014Z","request_id":"req_011Cg8hvrBiCWUL7dMQEft65"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hvrXJ5QjrAEEzXuacQ","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01CBZ5QLgLDog7udzbG1UcHp","name":"Bash","input":{"command":"mkdir -p /workspace/dev/gen && cat > /workspace/dev/gen.py << 'EOF'\nimport sys\ndef gen(KS, VS, BN=64, NW=4, NS=2, SC=16, CW=2, dev=True):\n    DK = 256 // KS; DV = 256 // VS\n    def qk(ind, rowexpr, var):\n        lines = [f\"{ind}k{i} = k_desc.load([{rowexpr}, col0 + {i * DK}])\" for i in range(KS)]\n        expr = f\"tl.dot(q0, k0.T)\"\n        for i in range(1, KS):\n            expr = f\"tl.dot(q{i}, k{i}.T, {expr})\"\n        lines.append(f\"{ind}{var} = {expr} * qk_scale\")\n        return \"\\n\".join(lines) + \"\\n\"\n    def pv(ind, rescale):\n        lines = [f\"{ind}pb = p.to(tl.bfloat16)\"]\n        for i in range(VS):\n            if rescale:\n                lines.append(f\"{ind}acc{i} = acc{i} * alpha[:, None]\")\n            lines.append(f\"{ind}v{i} = v_desc.load([row0 + j * BN, col0 + {i * DV}])\")\n            lines.append(f\"{ind}acc{i} = tl.dot(pb, v{i}, acc{i})\")\n        return \"\\n\".join(lines) + \"\\n\"\n    accinit = lambda ind: \"\".join(f\"{ind}acc{i} = tl.zeros((BM, {DV}), tl.float32)\\n\" for i in range(VS))\n    qload = \"\".join(f\"    q{i} = tl.load(Q + q_off[:, None] + {i * DK} + tl.arange(0, {DK})[None, :], mask=qmask[:, None], other=0.0)\\n\" for i in range(KS))\n    stores = \"\".join(f\"    tl.store(Op + prow[:, None] * D + {i * DV} + tl.arange(0, {DV})[None, :], acc{i} / l_safe[:, None])\\n\" for i in range(VS))\n    src = f'''import torch\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Lp, Sq, Sk, n_splits, bps, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n               BM: tl.constexpr, BN: tl.constexpr):\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    b = pid_bh // HKV\n    hk = pid_bh % HKV\n    QPT: tl.constexpr = BM // G\n    q0r = pid_m * QPT\n    rows = tl.arange(0, BM)\n    qi = q0r + rows // G\n    hh = hk * G + rows % G\n    qmask = qi < Sq\n    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n{qload}\n    shift = Sk - Sq\n    kv_end = shift + tl.minimum(q0r + QPT, Sq)\n    n_blocks = tl.cdiv(kv_end, BN)\n    lo = pid_s * bps\n    hi = tl.minimum(lo + bps, n_blocks)\n    full = (shift + q0r + 1) // BN\n    mid = tl.maximum(tl.minimum(full, hi), lo)\n\n    k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, {DK}])\n    v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[BN, {DV}])\n    row0 = b * Sk\n    col0 = hk * D\n\n    l_i = tl.zeros((BM,), tl.float32)\n{accinit(\"    \")}{qk(\"    \", \"row0 + lo * BN\", \"s0\")}    m_ref = tl.max(s0, 1)\n    mx = tl.full((BM,), float('-inf'), tl.float32)\n    for j in range(lo, mid):\n{qk(\"        \", \"row0 + j * BN\", \"s\")}        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n{pv(\"        \", False)}    if tl.max(tl.expand_dims(mx, 1)) > 16.0:\n        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        l_i = tl.zeros((BM,), tl.float32)\n{accinit(\"        \")}        for j in range(lo, mid):\n{qk(\"            \", \"row0 + j * BN\", \"s\")}            m_new = tl.maximum(m_i, tl.max(s, 1))\n            p = tl.math.exp2(s - m_new[:, None])\n            alpha = tl.math.exp2(m_i - m_new)\n            l_i = l_i * alpha + tl.sum(p, 1)\n{pv(\"            \", True)}            m_i = m_new\n    else:\n        m_i = tl.where(lo < mid, m_ref, float('-inf'))\n    rn = tl.arange(0, BN)\n    for j in range(mid, hi):\n{qk(\"        \", \"row0 + j * BN\", \"s\")}        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qi)[:, 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.math.exp2(s - m_safe[:, None])\n        alpha = tl.math.exp2(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n{pv(\"        \", True)}        m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n{stores}    tl.store(Lp + prow, lse)\n\n\n@triton.jit\ndef _combine(Op, Lp, Out, Sq, n_splits, n_mt, n_bh,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr, BM: tl.constexpr,\n             SC: tl.constexpr):\n    r = tl.program_id(0)\n    h = r % HQ\n    t = r // HQ\n    qi = t % Sq\n    b = t // Sq\n    hk = h // G\n    QPT: tl.constexpr = BM // G\n    pm = qi // QPT\n    rr = (qi % QPT) * G + h % G\n    base = ((b * HKV + hk) * n_mt + pm).to(tl.int64) * BM + rr\n    stride_s = (n_bh * n_mt * BM).to(tl.int64)\n    sc = tl.arange(0, SC)\n    rd = tl.arange(0, D)\n    m = tl.full((SC,), float('-inf'), tl.float32)\n    for s0 in range(0, n_splits, SC):\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=(s0 + sc) < n_splits, other=float('-inf'))\n        m = tl.maximum(m, lse)\n    mx = tl.max(m, 0)\n    mx = tl.where(mx == float('-inf'), 0.0, mx)\n    acc = tl.zeros((D,), tl.float32)\n    wsum = tl.zeros((SC,), tl.float32)\n    for s0 in range(0, n_splits, SC):\n        smask = (s0 + sc) < n_splits\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=smask, other=float('-inf'))\n        w = tl.math.exp2(lse - mx)\n        wsum += w\n        o = tl.load(Op + (base + (s0 + sc) * stride_s)[:, None] * D + rd[None, :], mask=smask[:, None], other=0.0)\n        acc += tl.sum(w[:, None] * o, 0)\n    tot = tl.sum(wsum, 0)\n    acc = acc / tl.where(tot == 0.0, 1.0, tot)\n    tl.store(Out + r.to(tl.int64) * D + rd, acc.to(tl.bfloat16))\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, out):\n    triton.set_allocator(_alloc)\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM, BN = 128, {BN}\n    QPT = BM // G\n    n_mt = triton.cdiv(Sq, QPT)\n    n_bh = B * HKV\n    tiles = n_mt * n_bh\n    nb = triton.cdiv(Sk, BN)\n    n_sm = 148\n    best = None\n    for kw in range(1, 9):\n        s = max(1, min(nb, (kw * n_sm) // tiles))\n        bps = triton.cdiv(nb, s)\n        s_eff = triton.cdiv(nb, bps)\n        waves = triton.cdiv(tiles * s_eff, n_sm)\n        cost = waves * (bps + 4) + s_eff * 0.5\n        if best is None or cost < best[0]:\n            best = (cost, s_eff, bps)\n    _, n_splits, bps = best\n    Op = torch.empty((n_splits * tiles * BM, D), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_splits * tiles * BM,), device=q.device, dtype=torch.float32)\n    _fwd_split[(n_mt, n_splits, n_bh)](q, k, v, Op, Lp, Sq, Sk, n_splits, bps, (D ** -0.5) * 1.4426950408889634,\n                                       HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, num_warps={NW}, num_stages={NS})\n    _combine[(B * Sq * HQ,)](Op, Lp, out, Sq, n_splits, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, SC={SC},\n                             num_warps={CW})\n'''\n    return src\n\nif __name__ == '__main__':\n    KS, VS, BN, NW, NS = map(int, sys.argv[1:6])\n    out = sys.argv[6]\n    open(out, 'w').write(gen(KS, VS, BN, NW, NS))\nEOF\ncd /workspace/dev && python gen.py 2 2 64 4 2 gen/k2v2.py && timeout 600 python bench.py gen/k2v2.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \" us |Error\" | head -3","description":"Write kernel generator and validate it reproduces v11"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":861,"cache_read_input_tokens":172294,"cache_creation":{"ephemeral_5m_input_tokens":861,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0ce34776-ea50-4c15-a9c7-73c6d976bd2e","timestamp":"2026-10-17T23:51:16.769Z","request_id":"req_011Cg8hvrBiCWUL7dMQEft65"}
{"type":"system","subtype":"task_started","task_id":"bzhml3018","run_id":"0mvd1vnxn-ef606a93","tool_use_id":"toolu_01CBZ5QLgLDog7udzbG1UcHp","description":"Write kernel generator and validate it reproduces v11","is_backgrounded":false,"task_type":"local_bash","uuid":"63f8902f-6010-4cc7-9872-71606bcf17ef","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01CBZ5QLgLDog7udzbG1UcHp","type":"tool_result","content":"(1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a03b718d-61b3-44a8-91ea-9fb8d5088941","timestamp":"2026-10-17T23:51:22.776Z","tool_use_result":{"stdout":"(1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01CBZ5QLgLDog7udzbG1UcHp","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hyapKWcvENFson6HsW","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Fvu81SmghrBKTCW2T4LCpv","name":"Bash","input":{"command":"for cfg in \"4 2 64 4 2\" \"2 4 64 4 2\" \"4 4 64 4 2\" \"1 2 64 4 2\" \"2 2 128 4 1\" \"4 4 128 4 1\"; do n=$(echo $cfg | tr ' ' '_'); python gen.py $cfg gen/$n.py; echo \"== KS VS BN NW NS = $cfg: $(timeout 600 python bench.py gen/$n.py --nocheck shape=1,256,131072 2>&1 | grep -v '^  ' | grep -iE ' us |Error' | head -1)\"; done","description":"Sweep QK/PV D-split counts and tile sizes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4462,"cache_read_input_tokens":173155,"cache_creation":{"ephemeral_5m_input_tokens":4462,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3d6c4064-6ce9-4286-abcc-84d3efa71c73","timestamp":"2026-10-17T23:51:27.673Z","request_id":"req_011Cg8hya5BSufSYFbqG8396"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Fvu81SmghrBKTCW2T4LCpv","type":"tool_result","content":"== KS VS BN NW NS = 4 2 64 4 2: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 544, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS = 2 4 64 4 2: (1, 256, 131072): ok    640.0 us    858.2 TFLOP/s  vs expert 0.592\n== KS VS BN NW NS = 4 4 64 4 2: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 544, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS = 1 2 64 4 2: (1, 256, 131072): ok    696.4 us    788.6 TFLOP/s  vs expert 0.544\n== KS VS BN NW NS = 2 2 128 4 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS = 4 4 128 4 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 832, Hardware limit: 512. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"f9eaa856-9f5a-4b47-848f-5f6d1c42d36c","timestamp":"2026-10-17T23:51:55.306Z","tool_use_result":{"stdout":"== KS VS BN NW NS = 4 2 64 4 2: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 544, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS = 2 4 64 4 2: (1, 256, 131072): ok    640.0 us    858.2 TFLOP/s  vs expert 0.592\n== KS VS BN NW NS = 4 4 64 4 2: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 544, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS = 1 2 64 4 2: (1, 256, 131072): ok    696.4 us    788.6 TFLOP/s  vs expert 0.544\n== KS VS BN NW NS = 2 2 128 4 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 576, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS = 4 4 128 4 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 832, Hardware limit: 512. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Fvu81SmghrBKTCW2T4LCpv","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i1yYcamuiQZRSCe9Z4","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"KS=2, VS=2 at BN=64 still wins at 610 us, while KS=4 overflows TMEM and KS=2/VS=4 is slower. I'm trying to figure out why KS=2 beats KS=1 — likely the S accumulator double-buffers or MMA can start on K_lo while K_hi is still loading.\n\nBreaking down the per-iteration cost: 610us/443 iterations gives roughly 2800 clocks per 64-key block, still far above the ~1024 clock MMA bound. I want to rerun the ablation on the k2v2 version, stripping out exp, PV, and QK to see what's actually dominating now.\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":812,"cache_read_input_tokens":177617,"cache_creation":{"ephemeral_5m_input_tokens":812,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"689b23e3-0bd9-4a06-a57f-f5d06e973f9d","timestamp":"2026-10-17T23:52:01.227Z","request_id":"req_011Cg8i1yBHqCzNM5urpeb6H","thinking_duration_ms":4347,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i1yYcamuiQZRSCe9Z4","type":"message","role":"assistant","content":[{"type":"text","text":"KS=2/VS=2 at BN=64 remains best (610 us). 4-way QK splits exceed the 512 TMEM columns, and BN=128 doesn't fit TMEM either. Re-running the ablation on the new structure to see what dominates now:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":812,"cache_read_input_tokens":177617,"cache_creation":{"ephemeral_5m_input_tokens":812,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"06b57ea5-423a-49ac-8c3e-0d5d62ca608a","timestamp":"2026-10-17T23:52:01.227Z","request_id":"req_011Cg8i1yBHqCzNM5urpeb6H"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i1yYcamuiQZRSCe9Z4","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01PwRk58QSpFZpu2F6dSMaK3","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/gen/k2v2.py').read()\nmain_start = src.index(\"    for j in range(lo, mid):\\n\")\nmain_end = src.index(\"    if tl.max(tl.expand_dims(mx, 1)) > 16.0:\")\nbody = src[main_start:main_end]\n# a: no exp\na = body.replace(\"        p = tl.math.exp2(d)\\n        l_i = l_i + tl.sum(p, 1)\\n\", \"        p = d\\n\")\nopen('/workspace/dev/gen/abl_a.py','w').write(src[:main_start] + a + src[main_end:])\n# b: no PV\nbb = body[:body.index(\"        pb = p.to(tl.bfloat16)\")]\nopen('/workspace/dev/gen/abl_b.py','w').write(src[:main_start] + bb + src[main_end:])\n# c: no QK\nc = body.replace(\"\"\"        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n\"\"\", \"\"\"        s = tl.zeros((BM, BN), tl.float32) + j * 0.001\n\"\"\")\nassert c != body\nopen('/workspace/dev/gen/abl_c.py','w').write(src[:main_start] + c + src[main_end:])\n# e: no softmax reductions (mx, l_i)\ne = body.replace(\"        mx = tl.maximum(mx, tl.max(d, 1))\\n\", \"\").replace(\"        l_i = l_i + tl.sum(p, 1)\\n\", \"\")\nopen('/workspace/dev/gen/abl_e.py','w').write(src[:main_start] + e + src[main_end:])\nEOF\nfor f in abl_a abl_b abl_c abl_e; do echo \"== $f: $(timeout 600 python bench.py gen/$f.py --nocheck shape=1,256,131072 2>&1 | grep -v '^  ' | grep -iE ' us |Error' | head -1)\"; done","description":"Ablation study on current best kernel"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":812,"cache_read_input_tokens":177617,"cache_creation":{"ephemeral_5m_input_tokens":812,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ca1b1e37-9053-4d8b-b991-ddfe727986d4","timestamp":"2026-10-17T23:52:05.545Z","request_id":"req_011Cg8i1yBHqCzNM5urpeb6H"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i4ECySwhw9mAkX3ZLt","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing the exponent or reduction steps doesn't change the runtime, so those aren't bottlenecks. But removing PV leaves 543us and removing QK leaves 479us, which means QK+softmax alone consumes nearly the entire 610us budget. Computing throughput for QK-only at half the FLOPs gives roughly 506 TFLOP/s, suggesting QK is the dominant cost.\n\nPer-iteration, this works out to around 2500 clocks for a single MMA, which points to a latency-bound chain rather than raw compute limits — likely each iteration waits on TMA load, MMA, and tmem_load in sequence with only two pipeline stages. The hypothesis is that softmax(j) must finish reading S before QK(j+1) can overwrite that TMEM buffer, and with only two TMA stages the loads for iteration j+2 can't start until buffer j is freed, so L2 latency isn't fully hidden. Testing the PV-only path (no QK) shows a similar ~2200 clock per-iteration cost, reinforcing that both single-MMA loops hit the same latency wall around 2200-2500 clocks.\n\nSo each TMA must arrive within about one iteration's time to stay hidden, and if L2 latency under heavy contention from 148 SMs is around 1-2 us, the loop becomes latency-bound rather than compute-bound — matching the observed ~1.1-1.4 us per iteration. More pipeline stages could help hide that latency, but SMEM capacity caps how many stages fit alongside Q and K/V buffers.\n\nI'm considering whether splitting into smaller block sizes with more stages (e.g. BN=32 with NS=4) increases bytes in flight via Little's law, even though total SMEM usage stays the same, but earlier measurements showed this configuration was actually slower than BN=64 NS=2.\n\nOther options I'm weighing: Triton doesn't let me separate K and V stage counts or push Q into TMEM directly, so those are out. Delaying V's load until after softmax wouldn't change the in-flight bytes, and halving the Q tile to BM=64 would hurt tensor core efficiency, so my best remaining idea is prefetching into L2 ahead of time using a bulk prefetch instruction.\n\nI'm trying to pin down the actual L2-hit latency for TMA loads on B300, working through a back-of-envelope calculation from my bandwidth microbenchmark: with 296 CTAs, 4 stages, and 32 KB tiles, I'm getting roughly 256 KB in flight per SM, which translates to about 108 GB/s per SM and a latency estimate near 2.4 microseconds — that number seems suspiciously high.\n\nComparing that against the kernel's needs, I figure we need about 107 GB/s per SM to hit a 600 ns iteration time, which is right at the edge of the observed per-SM L2 bandwidth ceiling, suggesting L2 bandwidth itself is the real bottleneck. At 16 TB/s total, the theoretical minimum time for shape 1 would be around 268 us, but we're measuring 610 us, so the gap must come down to latency and occupancy effects rather than pure bandwidth.\n\nTo cut L2 traffic I'm considering increasing per-CTA reuse by doubling BM to 256 so two Q tiles share each K/V load, but that fills TMEM entirely with two 256-column O accumulators, leaving no space for S, and Triton controls accumulator placement so I can't force part of O into registers. Another option is splitting D so each CTA only computes half the output columns per pass, keeping the O footprint manageable at 256 rows by 128 columns.\n\nActually storing Q for 256 rows blows SMEM to 128 KB, so that path is dead. Splitting into two different heads sharing the same KV is equivalent to the BM=256 case I already ruled out, and we can't multicast L2 traffic to cut bytes further. So the real floor for BM=128 sits around 268us versus our current 610us, meaning the only lever left is packing more bytes in flight per SM — maybe reconsidering how Q is staged in SMEM.\n\nTrying two CTAs per SM at BM=64 blows past budget too (320 KB total), so that's out. Comparing BN=64/NS=2 against BN=32/NS=4 shows the latter keeps 1.5x more data in flight per SM despite similar total SMEM usage, since only one stage is being computed on while the other streams in — worth digging into whether the Q storage cost changes this tradeoff.\n\nLooking at it from a cycle-cost angle: BN=32 means re-reading Q more often, so a 64-key chunk costs 192 KB of SMEM reads (~1536 clks) versus BN=64's 128 KB (~1000 clks) — that's a real penalty. I should just benchmark BN=32/NS=4 with KS=2/VS=2, and also try BN=32/NS=3, to see how it actually performs.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i8PbdW3bbNzMsXYZWg","type":"message","role":"assistant","content":[{"type":"text","text":"BN=32 is worse in every variant, so BN=64 / 2 stages / 2+2 splits stays. Dumping the loop schedule of the current best:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4021,"cache_read_input_tokens":179822,"cache_creation":{"ephemeral_5m_input_tokens":4021,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a301bb15-9881-43b1-afd7-b49af9ef8b55","timestamp":"2026-10-17T23:53:27.068Z","request_id":"req_011Cg8i8PEoRxKeExQzjzBd4"}
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{"type":"system","subtype":"task_started","task_id":"branhgmp3","run_id":"0mvd1yhdj-aab02ec3","tool_use_id":"toolu_014UKkF8ts6hEbDmz5454gTB","description":"Inspect pipelined loop schedule of best kernel","is_backgrounded":false,"task_type":"local_bash","uuid":"0092a693-6ad5-40e2-a377-b58cf5aa3723","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014UKkF8ts6hEbDmz5454gTB","type":"tool_result","content":"regs 255 spills 172 shared 196736 warps 4\n20:      ttng.wait_barrier %k1_253, %s_254, %true deps %q1_50, %s_255\n21:      %s_276 = ttng.tmem_load %s_114\n24:      %p_279 = math.exp2 %d_278 : tensor<128x64xf32, #linear1> \n26:      ttng.wait_barrier %k1_256, %k1_257 deps %acc0_127, %v0_258\n27:      ttng.tmem_store %pb_280, %acc0_127, %true : tensor<128x64xbf16, #linear1> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> \n29:      ttng.wait_barrier %k1_281, %s_254, %true\n32:      ttng.tc_gen5_mma %acc0_127, %v0_282, %acc0, %true, %true, %k1_283[%true] {is_async}\n34:      ttng.wait_barrier %k1_284, %s_254, %true\n37:      ttng.tc_gen5_mma %acc0_127, %v1_285, %acc1, %true, %true, %k1_286[%true] {is_async}\n38:      ttng.wait_barrier %k1_260, %k1_257 deps %acc0_127, %v1_261\n44:      ttng.wait_barrier %k1_291, %s_248, %k1_273\n47:      ttng.wait_barrier %k1_262, %s_263, %k1_273 deps %q0_46, %s_264\n48:      %s_294 = ttng.tmem_load %s_107\n49:      ttng.tmem_store %s_294, %s_114, %k1_273 : tensor<128x64xf32, #linear1> -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> \n51:      ttng.tc_gen5_mma %q1_50, %s_293, %s_114, %true, %k1_273, %k1_295[%true] {is_async}\n53:      ttng.barrier_expect %k1_296, 16384, %k1_273\n55:      ttng.async_tma_copy_global_to_local %v_desc_61[%k0_266, %col0] %v0_297, %k1_296, %k1_273 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg\n57:      ttng.barrier_expect %k1_298, 16384, %k1_273\n59:      ttng.async_tma_copy_global_to_local %v_desc_61[%k0_266, %k1] %v1_299, %k1_298, %k1_273 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg.m\n66:      ttng.wait_barrier %k1_305, %s_304, %k1_271\n70:      ttng.barrier_expect %k1_308, 16384, %k1_271\n72:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_267, %k1] %k1_309, %k1_308, %k1_271 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg.m\n74:      ttng.tc_gen5_mma %q0_46, %s_307, %s_107, %false, %k1_271, %k1_310[%true] {is_async}\n82:      ttng.barrier_expect %k1_317, 16384, %k1_269\n84:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_316, %col0] %k0_318, %k1_317, %k1_269 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg\n85:      scf.yield %l_i_275, %mx_274, %s_313, %s_312, %s_304, %s_303, %acc0_290, %d_278, %p_279, %k1_295, %s_248, %s_293, %k1_283, %acc0_250, %v0_282,\n100:      ttng.wait_barrier %k1_134#12, %k1_134#13 deps %acc0_127, %k1_134#14\n101:      ttng.wait_barrier %k1_134#16, %k1_134#13 deps %acc0_127, %k1_134#17\n102:      scf.yield %l_i_246, %mx_245 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #line\n104:      scf.yield %k1_134#0, %k1_134#1 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #l\n142:    %acc0_136 = ttng.tmem_load %acc0\n143:    %acc1_137 = ttng.tmem_load %acc1\n146:      ttng.tmem_store %cst, %acc0_245, %true : tensor<128x128xf32, #linear> -> !ttg.memdesc<128x128xf32, #tmem1, #ttng.tensor_memory, mutable> \n148:      ttng.tmem_store %cst, %acc1_246, %true : tensor<128x128xf32, #linear> -> !ttg.memdesc<128x128xf32, #tmem1, #ttng.tensor_memory, mutable> \n193:      ttng.barrier_expect %m_i_264, 16384, %k1_101\n196:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_62, %col0] %k0_275, %m_i_264, %k1_101 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !tt\n197:      ttng.wait_barrier %m_i_264, %c0_i32, %k1_101\n198:      ttng.barrier_expect %m_i_267, 16384, %k1_101\n201:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_62, %k1] %k1_277, %m_i_267, %k1_101 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg.\n204:      ttng.tc_gen5_mma %q0_46, %s_276, %s_279, %false, %k1_101, %m_i_248[%true] {is_async}","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"57fd1349-628b-453e-9a44-7393a53856fb","timestamp":"2026-10-17T23:53:33.529Z","tool_use_result":{"stdout":"regs 255 spills 172 shared 196736 warps 4\n20:      ttng.wait_barrier %k1_253, %s_254, %true deps %q1_50, %s_255\n21:      %s_276 = ttng.tmem_load %s_114\n24:      %p_279 = math.exp2 %d_278 : tensor<128x64xf32, #linear1> \n26:      ttng.wait_barrier %k1_256, %k1_257 deps %acc0_127, %v0_258\n27:      ttng.tmem_store %pb_280, %acc0_127, %true : tensor<128x64xbf16, #linear1> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutable> \n29:      ttng.wait_barrier %k1_281, %s_254, %true\n32:      ttng.tc_gen5_mma %acc0_127, %v0_282, %acc0, %true, %true, %k1_283[%true] {is_async}\n34:      ttng.wait_barrier %k1_284, %s_254, %true\n37:      ttng.tc_gen5_mma %acc0_127, %v1_285, %acc1, %true, %true, %k1_286[%true] {is_async}\n38:      ttng.wait_barrier %k1_260, %k1_257 deps %acc0_127, %v1_261\n44:      ttng.wait_barrier %k1_291, %s_248, %k1_273\n47:      ttng.wait_barrier %k1_262, %s_263, %k1_273 deps %q0_46, %s_264\n48:      %s_294 = ttng.tmem_load %s_107\n49:      ttng.tmem_store %s_294, %s_114, %k1_273 : tensor<128x64xf32, #linear1> -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> \n51:      ttng.tc_gen5_mma %q1_50, %s_293, %s_114, %true, %k1_273, %k1_295[%true] {is_async}\n53:      ttng.barrier_expect %k1_296, 16384, %k1_273\n55:      ttng.async_tma_copy_global_to_local %v_desc_61[%k0_266, %col0] %v0_297, %k1_296, %k1_273 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg\n57:      ttng.barrier_expect %k1_298, 16384, %k1_273\n59:      ttng.async_tma_copy_global_to_local %v_desc_61[%k0_266, %k1] %v1_299, %k1_298, %k1_273 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg.m\n66:      ttng.wait_barrier %k1_305, %s_304, %k1_271\n70:      ttng.barrier_expect %k1_308, 16384, %k1_271\n72:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_267, %k1] %k1_309, %k1_308, %k1_271 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg.m\n74:      ttng.tc_gen5_mma %q0_46, %s_307, %s_107, %false, %k1_271, %k1_310[%true] {is_async}\n82:      ttng.barrier_expect %k1_317, 16384, %k1_269\n84:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_316, %col0] %k0_318, %k1_317, %k1_269 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg\n85:      scf.yield %l_i_275, %mx_274, %s_313, %s_312, %s_304, %s_303, %acc0_290, %d_278, %p_279, %k1_295, %s_248, %s_293, %k1_283, %acc0_250, %v0_282,\n100:      ttng.wait_barrier %k1_134#12, %k1_134#13 deps %acc0_127, %k1_134#14\n101:      ttng.wait_barrier %k1_134#16, %k1_134#13 deps %acc0_127, %k1_134#17\n102:      scf.yield %l_i_246, %mx_245 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #line\n104:      scf.yield %k1_134#0, %k1_134#1 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #l\n142:    %acc0_136 = ttng.tmem_load %acc0\n143:    %acc1_137 = ttng.tmem_load %acc1\n146:      ttng.tmem_store %cst, %acc0_245, %true : tensor<128x128xf32, #linear> -> !ttg.memdesc<128x128xf32, #tmem1, #ttng.tensor_memory, mutable> \n148:      ttng.tmem_store %cst, %acc1_246, %true : tensor<128x128xf32, #linear> -> !ttg.memdesc<128x128xf32, #tmem1, #ttng.tensor_memory, mutable> \n193:      ttng.barrier_expect %m_i_264, 16384, %k1_101\n196:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_62, %col0] %k0_275, %m_i_264, %k1_101 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !tt\n197:      ttng.wait_barrier %m_i_264, %c0_i32, %k1_101\n198:      ttng.barrier_expect %m_i_267, 16384, %k1_101\n201:      ttng.async_tma_copy_global_to_local %k_desc_60[%k0_62, %k1] %k1_277, %m_i_267, %k1_101 : !tt.tensordesc<tensor<64x128xbf16, #shared>>, !ttg.\n204:      ttng.tc_gen5_mma %q0_46, %s_276, %s_279, %false, %k1_101, %m_i_248[%true] {is_async}","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_014UKkF8ts6hEbDmz5454gTB","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":2,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7251f708-6212-4f91-81f9-ee5115608742"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":6,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"311e3148-4c0f-4145-b9a9-63a415ceb26a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":12,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"b47b4324-9126-406a-91a7-9573cdb39f02"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":17,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"88cd6425-dc8e-4060-8644-913fe76c45b3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"71f69598-6d65-4851-810d-7ea8fe485b54"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":26,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2d160413-c806-4113-896b-b5f76913ce3d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":27,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c300ccfc-7cd3-48b4-9dc6-257ff56bcdd8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":29,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"9684d5bb-829e-4a30-9e0e-a4f1eb3da201"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":36,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"f6c79bb2-4e85-4d36-831b-16c1b98cd1f2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":40,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"fcc5e307-eda4-41ca-83bb-dadbc39ca043"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":45,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"9ac3933d-0e59-4318-a78f-96958b012584"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":49,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"21375fb0-8b7f-4347-b896-2e065a8696f4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":56,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"67098ee4-adbc-4fcd-8c01-bfdeb2bae176"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":63,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3a254dce-74a9-4f87-a4cd-180c53fb9f4a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":69,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3fc5f101-afbe-44d6-be80-e301f1078bb8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":72,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"01e7cf0c-ccc2-4702-a889-20821a67ce47"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":76,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1b104f92-72f0-4971-8b06-38d850d9cbf8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":78,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d00916f7-d617-4f6f-b242-c45edf98c55b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":81,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"9186d74e-8a81-41d4-9d4e-7b768fc235e7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":85,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e8326110-a80b-4fbe-9338-5dd6d68579f1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":88,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1644ad03-3a74-4733-a8f3-06c2a77bc1e0"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":89,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5759bfb7-faf1-4fcb-9507-2c1cc1da99b9"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":96,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"24739b28-0bd4-4a52-aaf7-4e52b6119f97"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":102,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"54b6b65d-d315-4f73-9d2e-021773a0bdab"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":105,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ef0bbc64-e645-441e-89b9-be1b3a5f93c7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":109,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a5d86b82-e61b-4f7b-9db1-943c393679f6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":111,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8adacb3f-d456-4f1e-ad25-9a0c6bb1c9f4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":115,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7fa3c04c-c7c4-41b5-8e2f-f9d5229f72ed"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":118,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ca62c43a-1f1e-42a2-93ae-2697bd84b6d6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":121,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"324ba3ee-5640-44d7-85dc-b7621df3f3cf"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":126,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5ca6bd22-a04b-404e-a7ca-326e9ffd0a56"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":131,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"bf086831-9106-43e5-a9fc-b7b0020a2728"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":134,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2db4f92c-f0ba-4205-842b-7ccab0df5e87"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":141,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"451a7fbd-d7be-4723-86b0-ef84585428ce"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":146,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"fc4b41be-58b4-4af3-bd39-63297996cadc"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":150,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"aeb7d85a-c0c5-406f-8a7a-7b488a03f965"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":151,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0cc9ffe6-39d1-4763-9d21-2ccd32b34449"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":156,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1ade409d-6f71-420d-9679-05680581642f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":157,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a045fc37-287a-484f-9b75-7d4d5d88c18c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":162,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c66f2642-bdaf-49d6-929b-9dc28a1072a3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":163,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"139d75d5-65c5-4b81-8033-b306ce7a60ec"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":168,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c87f5475-bf0d-4365-8160-82eca1ebe4a4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":170,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8bd3d910-1fc0-4321-ad9a-13f2449b12a1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":171,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a2e2cebb-be9a-48d9-a846-360ffa7397dd"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":179,"estimated_tokens_delta":8,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8b6d900d-d0b7-4e4c-8e91-9bc4374be294"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":182,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"700b0c37-5b0e-4464-8140-7d9dd2fcb35c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":184,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"6e393381-a2dd-4fc3-8cf1-48d6587fef7d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":186,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0467bb35-07bd-451b-8708-6bea6c7d912f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":190,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7259bc3e-296a-4e5d-b664-60beab225f85"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":191,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c0a8db7c-0b12-4d06-9275-b98f9775d975"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":198,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"9971c655-bdd4-4406-85ed-679202a06a9d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":201,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"f030d5dc-8a4d-44e7-94af-603d655b9342"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":202,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c708eef8-4607-4a39-b92d-7eafdf012b33"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":209,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1326fa0a-0f33-4593-8ea1-b9c852d40c00"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":212,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"6f8768ae-226e-4087-97ec-5f061cdc92e3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":215,"estimated_tokens_delta":3,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"929ba55a-2d88-430f-b271-cde30d3e51a8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":221,"estimated_tokens_delta":6,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"1f7e7da6-68fd-4e8a-bfbc-193688e980b9"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":230,"estimated_tokens_delta":9,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"04a71518-2967-4063-becd-53af30042ad7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":231,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"478bcda1-bb93-4593-b0a5-f67f6ef617e4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":236,"estimated_tokens_delta":5,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c3f1b17e-7210-4a0c-8cec-e2d506f50e38"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":238,"estimated_tokens_delta":2,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"413d6ecc-12d7-4082-bd62-af1bddcb9b91"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":246,"estimated_tokens_delta":8,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e6a0e391-e4a1-4f28-b1ad-332a7debcedb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":247,"estimated_tokens_delta":1,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5801b1d2-3658-4428-8ba3-52c91ba18e3d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":251,"estimated_tokens_delta":4,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7171cf95-6342-4af8-b586-0eb78c859a3d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":258,"estimated_tokens_delta":7,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d6267764-56e8-431e-b8db-f9c64dcfa6b9"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i9DUDJtLRXaPoQBVB3","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"There are significant register spills happening here, which is concerning. I'm also noticing a strange pattern where the first partial QK result gets loaded from TMEM and written back into another TMEM buffer before the second MMA accumulates into it—looks like an unnecessary TMEM round-trip that could be optimized away.\n\nThose spills are likely from the epilogue where acc0 and acc1 (each 128x128 fp32) are both live at once, requiring too many registers per thread across the warps. A fix would be to sequence the TMEM loads for acc0 and acc1 rather than having the compiler hoist both loads together, which should reduce the live register pressure in the fallback/masked rescale paths.\n\nThe masked tail loop also needs both accumulators in registers for rescaling, but if done sequentially only 128 registers would be live at a time — the if/else structure is what forces both to stay live as yielded values. I'm considering splitting the fallback into a separate kernel launch that only does real work when an overflow flag is set, otherwise exiting immediately, though that adds complexity around conditional execution on the device.\n\nAnother option is reusing the masked-loop path for the fallback itself: on overflow, reset the loop start to the beginning of the range and zero out the accumulator via a multiply, then run the masked loop over the full range, with the mask being harmless since it only adds extra comparisons for fully-visible blocks.\n\nWait, there's a NaN risk — if overflow left inf in the accumulator, multiplying by zero gives NaN, so I need to use a select (tl.where) to zero it out instead of multiplying. The masked loop then needs to rescale both accumulators each iteration, which costs round trips but only matters for tail blocks or the rare overflow case. I'm also working out how to initialize the running max correctly for this unified loop when overflow has occurred.\n\nReducing register pressure this way might help if spills were slowing the main loop, though I'd need to actually measure it rather than guess. There's also a subtlety with how Triton chains dot products — nested dot calls allocate separate buffers and copy between them instead of reusing the same memory, which seems like something the compiler should ideally optimize away.\n\nThat copy adds a load/store round trip sitting right on the critical path between the two matrix multiplies, yet splitting K into two separate accumulations still ran faster than doing it in one go — odd, since you'd expect the extra copy to hurt. I suspect the real win isn't from the copy itself but from how the K tile gets loaded: splitting it into two separate TMA loads with separate barriers lets the first matrix multiply start sooner instead of waiting on one big combined load.\n\nTrying to avoid the copy by joining/concatenating register tensors would just produce another SMEM copy anyway, so that path's a dead end. I'll move forward with implementing the restructured fallback plus sequential epilogue version, gated behind a flag in the generator.\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":2652,"cache_read_input_tokens":183843,"cache_creation":{"ephemeral_5m_input_tokens":2652,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"285142eb-2be5-4ed6-85a9-de263512cec8","timestamp":"2026-10-17T23:54:02.406Z","request_id":"req_011Cg8i9D79AWma9tsJ5Wti3","thinking_duration_ms":26522,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i9DUDJtLRXaPoQBVB3","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found two issues in the dump: 172 register spills caused by the fallback `if` keeping both 128x128 accumulators live as registers, plus an unnecessary TMEM→register→TMEM copy for the first QK half. I'll fix the first by merging the fallback into the masked tail loop with an online softmax restart from `lo`, eliminating the problematic `if`.\n\n","signature":"CAQSpwkKEQgSGAI4AUIJbmFycmF0aW9uEgxbMlvKze06UXn16AcaDEn/kP8lHGqXs5HWfiIwdHyHgUb+4k8b5+cFJqdyDzKtExLDPM7Hnh82DPdRoXnJpfEruYUFSdrOOQUbhFDSKsMIRiGrXEmFNhXQWuy2SEre2wR209UcgwoQajf1MZF4zoNgDXleux/XdgVVniY9UR6+CGRIa2UdR9XpUeZ53cewaQQyJBkJjCibarf7M10F95ejSqMTYCt9H5nGd+50KGSUH5Si6yfoJyUrGBE4IoBrSWrGrnIv6T/mh8R5LLNBzpLKfRDrH6GfSGlqAHsV1gz8VDHlZUIa27BK6qvZoGJfL5me5viw09XHBfNDMJ9Dt/LkMuYBDWhUBd13wfInZeGD1xb/1CZ0g6N3UhWKQvCqvldWhSsg4bxiwftUEc6dDRqGotKAo7Slsj82sBS53dwbk94K8rkYyEQYP4y30YKnWxA+hKjExMODQSqszhj/JXXVcQkzJzqLpL0dXW0kvhdUysxZUVhlu1fxaKWEvB1rkQWDLylwF/JWTZl6emaRG1pOV7UJpGMrHLypqTnEAuoX1Iim+bRIE4m+APAFfNL/h2l85dld/P4Y2Jw0+ieIEgC/5IVmopGq/Gg7vNXaXCNkzYfI4fTiw2y33D614twQZXpvezrfr9HEV2nhESfs8HC50/vCvrOr7F9ofkfgJA+yd0DGXOQ66vpk9Hf55RV02+2KRJmr+dk19Jy1y8lOAX+pv95jLnB++n2TfoimgqH06dxpJZgCpbCN3IgUK3lRcOvOn9E3ukl2EeYS9pVxIszplLzSyx0kWF+JO2fQOJpMRUAk4Qw4ZsMxiRw272OlR86OiA8JjMjqHIsPLtr5/f2a6XggSD4Bb6JevxNh30sJ40ge73XMbQtG58PQ5VIHQKGggYvS3b/3ms+ChaUoOrcWwEfYymwBuc4fXmNwoO9dHx5OOIQiHUhG1hopnA0ONV4KDXGc7B9WRWIA/NX4hDB1mkgFNBrPD0EPyxZC45iLJ5EscMZ2c0NaN/m3MwJYIuTrpc8a61Hd8/FTzFq04YYLs2IOz+4RMrVdiDEIZ6RLDjHhnMGg2GceCpDcqmRsCNNk2egj1iLjloJIVxxqQ4vx3hdsvcSNui4y/9ivUWEJ7VD+tgkQTEiRTZifnuavTJLq6TipmEHhNEA5DAAaVxGLw0/Qy5xJ7HwSq+0ZdY8xGNoVckM/sn1vebfmfzfRRuWODvnuyqrK93+RfkZsJ1XnTcTojq84FbXgZSXbnrSpjPuEd7mikksqHLb1PSN5Qa/VZTMi3P9hQDgsgxPV+SSajd2DC1Z6rFj2hcBnBVCcQZnMBu5spq3EHJ2K9BGnixD5Xqt0RWsx7bC9XoW29rxG2a3fVbGlOarBz95N8Cdv+HNGQBVJJu2gTkt3pOKUx1+WEnJ+eixu2on4PXh5vo6zEqokL99KlfyE+UVbro5ijwFJKNShUV22OHfiiIlcB9El947q2y9YxKEmyVG7fh/LuXY8oRb7OMySlOc3Qoz09L4D0aI4g2fLQn42kg42GBqWzTuqdDuEXuD/A9k+wEQZyOQYAQ=="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2652,"cache_read_input_tokens":183843,"cache_creation":{"ephemeral_5m_input_tokens":2652,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"25ce7542-71cd-4002-9eaf-6b2a59c899ee","timestamp":"2026-10-17T23:54:02.421Z","request_id":"req_011Cg8i9D79AWma9tsJ5Wti3","narration_block_indexes":[0],"thinking_duration_ms":14,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8i9DUDJtLRXaPoQBVB3","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01PoggmoEmpMHie5gphZo4Ew","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('gen.py').read()\nstart = src.index(\"{pv(\\\"        \\\", False)}    if tl.max(tl.expand_dims(mx, 1)) > 16.0:\")\nend = src.index(\"    rn = tl.arange(0, BN)\\n    for j in range(mid, hi):\")\nnew = '''{pv(\"        \", False)}    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\n    start2 = tl.where(ovf, lo, mid)\n    m_i = tl.where(ovf | (lo >= mid), float('-inf'), m_ref)\n    l_i = tl.where(ovf, 0.0, l_i)\n{reset}'''\nsrc = src[:start] + new + src[end:]\nsrc = src.replace(\"    for j in range(mid, hi):\\n{qk(\", \"    for j in range(start2, hi):\\n{qk(\")\nsrc = src.replace(\"    accinit = lambda ind:\", \"    reset = \\\"\\\".join(f\\\"    acc{i} = tl.where(ovf, 0.0, acc{i})\\\\n\\\" for i in range(VS))\\n    accinit = lambda ind:\")\nopen('gen2.py', 'w').write(src)\nEOF\npython gen2.py 2 2 64 4 2 gen/g2_k2v2.py && sed -n '/^    for j in range(lo, mid)/,/^    tl.store(Lp/p' gen/g2_k2v2.py | head -60","description":"Generate restructured fallback variant (gen2)"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2652,"cache_read_input_tokens":183843,"cache_creation":{"ephemeral_5m_input_tokens":2652,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d7238d55-4b1b-4632-96dc-e432d60777ae","timestamp":"2026-10-17T23:54:05.054Z","request_id":"req_011Cg8i9D79AWma9tsJ5Wti3"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01PoggmoEmpMHie5gphZo4Ew","type":"tool_result","content":"    for j in range(lo, mid):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        v0 = v_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pb, v0, acc0)\n        v1 = v_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pb, v1, acc1)\n    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\n    start2 = tl.where(ovf, lo, mid)\n    m_i = tl.where(ovf | (lo >= mid), float('-inf'), m_ref)\n    l_i = tl.where(ovf, 0.0, l_i)\n    acc0 = tl.where(ovf, 0.0, acc0)\n    acc1 = tl.where(ovf, 0.0, acc1)\n    rn = tl.arange(0, BN)\n    for j in range(start2, hi):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qi)[:, 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.math.exp2(s - m_safe[:, None])\n        alpha = tl.math.exp2(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        acc0 = acc0 * alpha[:, None]\n        v0 = v_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pb, v0, acc0)\n        acc1 = acc1 * alpha[:, None]\n        v1 = v_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pb, v1, acc1)\n        m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + 0 + tl.arange(0, 128)[None, :], acc0 / l_safe[:, None])\n    tl.store(Op + prow[:, None] * D + 128 + tl.arange(0, 128)[None, :], acc1 / l_safe[:, None])\n    tl.store(Lp + prow, lse)","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"9a11f03b-ada9-47a0-b06d-4625ea47e708","timestamp":"2026-10-17T23:54:05.111Z","tool_use_result":{"stdout":"    for j in range(lo, mid):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        v0 = v_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pb, v0, acc0)\n        v1 = v_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pb, v1, acc1)\n    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\n    start2 = tl.where(ovf, lo, mid)\n    m_i = tl.where(ovf | (lo >= mid), float('-inf'), m_ref)\n    l_i = tl.where(ovf, 0.0, l_i)\n    acc0 = tl.where(ovf, 0.0, acc0)\n    acc1 = tl.where(ovf, 0.0, acc1)\n    rn = tl.arange(0, BN)\n    for j in range(start2, hi):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qi)[:, 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.math.exp2(s - m_safe[:, None])\n        alpha = tl.math.exp2(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        acc0 = acc0 * alpha[:, None]\n        v0 = v_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pb, v0, acc0)\n        acc1 = acc1 * alpha[:, None]\n        v1 = v_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pb, v1, acc1)\n        m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prow = ((pid_s * (tl.num_programs(2)) + pid_bh) * n_mt + pid_m).to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + 0 + tl.arange(0, 128)[None, :], acc0 / l_safe[:, None])\n    tl.store(Op + prow[:, None] * D + 128 + tl.arange(0, 128)[None, :], acc1 / l_safe[:, None])\n    tl.store(Lp + prow, lse)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01PoggmoEmpMHie5gphZo4Ew","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iD3ptFAvLfuoqAQiAv","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Spills dropped from 172 to 24, with performance roughly unchanged for shape 1 and a slight improvement elsewhere, confirming spills weren't the real bottleneck. The actual issue is the main loop itself being latency-bound per iteration, so I'm digging into the loop schedule from the k2v2 dump to trace the wait and tmem instructions in sequence.\n\nTracing through, the pipeliner scheduled QK0 two iterations ahead and QK1 one ahead, with tensor core ordering going PV0(j), PV1(j), QK1(j+1), QK0(j+2) -- meaning the next iteration's wait on QK1(j+1) sits behind the PV0 work, which likely creates the latency chain I'm trying to pin down.\n\nAdding up the serialization: PV(j) at roughly 512 clocks, QK1(j+1) at 256-384 clocks, softmax(j+1) near 600 clocks, plus copy overhead, lands around 1500-2000 clocks, which is roughly consistent with the ~2800 measured once per-wait latencies are factored in. The core issue is that softmax(j+1) depends on QK(j+1), which the tensor pipe queues behind PV(j), and PV(j) itself depends on softmax(j) -- so the real critical path per iteration is softmax + PV + QK, and breaking it would require two independent, ping-ponging softmax streams.\n\nSince splitting into two Q tiles doesn't fit in TMEM, I'm considering instead splitting the KV block into interleaved halves within a single Q tile, pairing blocks a and b so their QK, softmax, and PV stages overlap on the tensor pipe -- letting softmax_b run during PV_a and softmax_a(j+1) run during PV_b, which with a fixed reference max should let the two softmax streams proceed independently.\n\nThis pipelining continues into subsequent iterations, with each softmax overlapping the adjacent PV operation while the tensor core stays busy. Tallying the per-iteration costs, two blocks' worth of QK and PV work comes to roughly 2560 clocks with softmax largely hidden underneath, bringing total time to about 2600-3000 clocks versus 5600 currently — nearly doubling throughput if the compiler schedules things correctly.\n\nNow I'm checking whether this fits in TMEM and SMEM budgets. With KS=2 the S/P/O buffers exceed the 512-column TMEM limit, but KS=1 fits at 448 columns; meanwhile SMEM for double-buffered K/V/Q at NS=2 blows past budget at 320KB, while NS=1 fits but sacrifices prefetching, which seems to be the real constraint here.\n\nI'm weighing a smaller 32-key sub-block approach to shrink buffer sizes enough for NS=2 double buffering, but that makes Q reloading per sub-block less SMEM-efficient — rough math puts the SMEM-bound tensor pipe at roughly 1536 clocks per 64 keys versus the compute-bound 1024 clocks, which is still better than the current ~2800 clocks per iteration.\n\nI'm also considering loading a single 128-key K tile and splitting it into two 64-key sub-tiles for the QK matmuls, but Triton doesn't allow direct tensor slicing, so I'd need to reshape and use tl.split instead.\n\nAlternatively, separate descriptor loads for each half-tile of K and V would double SMEM usage per stage, which blows the budget when combined with Q's footprint at two pipeline stages. I'm now wondering if Triton's stage assignment could be made asymmetric so V's loads don't need the same stage count as K's.\n\nBypassing the pipeliner for V entirely and doing manual loads might expose latency unless the compiler hoists them, which seems unreliable. So I'm circling back to trying to get Q into TMEM instead, tallying the TMEM budget across the split S, P, and O tiles to see if it fits.\n\nSplitting query rows into two 64-row sub-tiles to overlap QK, softmax, and PV stages also seems unpromising — M=64 MMAs on Blackwell likely run at half throughput, so the time saved from pipelining gets eaten by slower MMA execution, yielding no net gain. Splitting along D for PV doesn't create the independence needed either.\n\nTrying the pairs approach with BN=32 sub-blocks instead: I'm checking SMEM and TMEM budgets for 64-key iterations and they fit, but when I tally the tensor work per iteration, the QK stages end up SMEM-bound at 640 clocks each rather than the 256-clock compute bound, so both QKs together already cost 1280 clocks — a steep bottleneck before even accounting for PV.\n\nTotaling it, the pairs approach comes to roughly 1792 clocks per 64 keys, which is only about 1.56x better than the current ~2800 baseline if everything overlaps perfectly, and the SMEM-bound QK loads are eating into that gain. I'm also considering BN=64 with NS=1, but without cross-iteration prefetch the load latency gets fully exposed each iteration, which would be much worse — so the pairs approach with BN=32 still seems like the better path to pursue first.\n\nSince SMEM traffic stays the same whether I split K into lo/hi halves or not, I'm settling on BN=64 as the block unit for both splitting and the masked fallback loop, while the main loop processes two 32-key sub-blocks per iteration.\n\nI'm reasoning that Triton's allocator should let the masked loop's buffers reuse the main loop's SMEM space since their liveness ranges don't overlap, which keeps total usage within budget.\n\nI'll add this as a generator variant: a main loop \"pairs\" mode operating on half-blocks.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iD3ptFAvLfuoqAQiAv","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_016vu8cyokY9kEVsdKiwhJnu","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('gen2.py').read()\n# add pairs main loop option\nold_sig = \"def gen(KS, VS, BN=64, NW=4, NS=2, SC=16, CW=2, dev=True):\"\nnew_sig = \"def gen(KS, VS, BN=64, NW=4, NS=2, SC=16, CW=2, dev=True, PAIRS=0):\"\nsrc = src.replace(old_sig, new_sig)\n# main loop body replacement when PAIRS\nold_main = '''    for j in range(lo, mid):\n{qk(\"        \", \"row0 + j * BN\", \"s\")}        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n{pv(\"        \", False)}'''\nassert old_main in src\nnew_main = '''{mainloop}'''\nsrc = src.replace(old_main, new_main)\nhelper = '''\n    HB = BN // 2\n    if PAIRS:\n        lines = [\"    for j in range(lo, mid):\"]\n        for h in (\"a\", \"b\"):\n            off = \"\" if h == \"a\" else f\" + {HB}\"\n            for i in range(KS):\n                lines.append(f\"        k{i}{h} = kh_desc.load([row0 + j * BN{off}, col0 + {i * DK}])\")\n            expr = f\"tl.dot(q0, k0{h}.T)\"\n            for i in range(1, KS):\n                expr = f\"tl.dot(q{i}, k{i}{h}.T, {expr})\"\n            lines.append(f\"        s{h} = {expr} * qk_scale\")\n        for h in (\"a\", \"b\"):\n            off = \"\" if h == \"a\" else f\" + {HB}\"\n            lines.append(f\"        d{h} = s{h} - m_ref[:, None]\")\n            lines.append(f\"        mx = tl.maximum(mx, tl.max(d{h}, 1))\")\n            lines.append(f\"        p{h} = tl.math.exp2(d{h})\")\n            lines.append(f\"        l_i = l_i + tl.sum(p{h}, 1)\")\n            lines.append(f\"        pb{h} = p{h}.to(tl.bfloat16)\")\n            for i in range(VS):\n                lines.append(f\"        v{i}{h} = vh_desc.load([row0 + j * BN{off}, col0 + {i * DV}])\")\n                lines.append(f\"        acc{i} = tl.dot(pb{h}, v{i}{h}, acc{i})\")\n        mainloop = \"\\\\n\".join(lines) + \"\\\\n\"\n        hdesc = (f\"    kh_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[{HB}, {DK}])\\\\n\"\n                 f\"    vh_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1], block_shape=[{HB}, {DV}])\\\\n\")\n    else:\n        mainloop = (f\"    for j in range(lo, mid):\\\\n\" + qk(\"        \", \"row0 + j * BN\", \"s\") +\n                    \"        d = s - m_ref[:, None]\\\\n        mx = tl.maximum(mx, tl.max(d, 1))\\\\n        p = tl.math.exp2(d)\\\\n\"\n                    \"        l_i = l_i + tl.sum(p, 1)\\\\n\" + pv(\"        \", False))\n        hdesc = \"\"\n'''\nsrc = src.replace(\"    accinit = lambda ind:\", helper + \"    accinit = lambda ind:\", 1)\nsrc = src.replace(\"    row0 = b * Sk\\n    col0 = hk * D\\n\", \"{hdesc}    row0 = b * Sk\\n    col0 = hk * D\\n\")\nsrc = src.replace(\"\"\"    KS, VS, BN, NW, NS = map(int, sys.argv[1:6])\n    out = sys.argv[6]\n    open(out, 'w').write(gen(KS, VS, BN, NW, NS))\"\"\", \"\"\"    KS, VS, BN, NW, NS, PAIRS = map(int, sys.argv[1:7])\n    out = sys.argv[7]\n    open(out, 'w').write(gen(KS, VS, BN, NW, NS, PAIRS=PAIRS))\"\"\")\nopen('gen3.py', 'w').write(src)\nEOF\npython gen3.py 2 2 64 4 2 1 gen/p_k2v2.py && sed -n '/^    for j in range(lo, mid)/,/^    ovf/p' gen/p_k2v2.py; for cfg in \"2 2 64 4 2 1\" \"1 2 64 4 2 1\" \"2 2 64 4 2 0\"; do n=p_$(echo $cfg | tr ' ' '_'); python gen3.py $cfg gen/$n.py; echo \"== KS VS BN NW NS PAIRS = $cfg: $(timeout 600 python bench.py gen/$n.py shape=1,256,131072 2>&1 | grep -v '^  ' | grep -iE ' us |Error' | head -1)\"; done","description":"Generate ping-pong pairs main loop variant and benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":953,"cache_read_input_tokens":190765,"cache_creation":{"ephemeral_5m_input_tokens":953,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c64dba29-1945-4d7f-b997-06aed9fe215a","timestamp":"2026-10-17T23:55:19.464Z","request_id":"req_011Cg8iD3SZzrPYUHqYAByWb"}
{"type":"system","subtype":"task_started","task_id":"b85mkq9fv","run_id":"0mvd20v73-74e416c3","tool_use_id":"toolu_016vu8cyokY9kEVsdKiwhJnu","description":"Generate ping-pong pairs main loop variant and benchmark","is_backgrounded":false,"task_type":"local_bash","uuid":"dca4a53f-f789-4f22-aa44-02ee4dc1ed55","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"b85mkq9fv","run_id":"0mvd20v73-74e416c3","tool_use_id":"toolu_016vu8cyokY9kEVsdKiwhJnu","status":"completed","output_file":"","summary":"Generate ping-pong pairs main loop variant and benchmark","uuid":"e4532f9f-a7aa-4909-bbb7-c37adfe4fcc9","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_016vu8cyokY9kEVsdKiwhJnu","type":"tool_result","content":"    for j in range(lo, mid):\n        k0a = kh_desc.load([row0 + j * BN, col0 + 0])\n        k1a = kh_desc.load([row0 + j * BN, col0 + 128])\n        sa = tl.dot(q1, k1a.T, tl.dot(q0, k0a.T)) * qk_scale\n        k0b = kh_desc.load([row0 + j * BN + 32, col0 + 0])\n        k1b = kh_desc.load([row0 + j * BN + 32, col0 + 128])\n        sb = tl.dot(q1, k1b.T, tl.dot(q0, k0b.T)) * qk_scale\n        da = sa - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(da, 1))\n        pa = tl.math.exp2(da)\n        l_i = l_i + tl.sum(pa, 1)\n        pba = pa.to(tl.bfloat16)\n        v0a = vh_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pba, v0a, acc0)\n        v1a = vh_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pba, v1a, acc1)\n        db = sb - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(db, 1))\n        pb = tl.math.exp2(db)\n        l_i = l_i + tl.sum(pb, 1)\n        pbb = pb.to(tl.bfloat16)\n        v0b = vh_desc.load([row0 + j * BN + 32, col0 + 0])\n        acc0 = tl.dot(pbb, v0b, acc0)\n        v1b = vh_desc.load([row0 + j * BN + 32, col0 + 128])\n        acc1 = tl.dot(pbb, v1b, acc1)\n    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 672, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 1 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 608, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 0: (1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"57774de4-f760-451a-8e87-0fe5e75eeaf0","timestamp":"2026-10-17T23:55:31.573Z","tool_use_result":{"stdout":"    for j in range(lo, mid):\n        k0a = kh_desc.load([row0 + j * BN, col0 + 0])\n        k1a = kh_desc.load([row0 + j * BN, col0 + 128])\n        sa = tl.dot(q1, k1a.T, tl.dot(q0, k0a.T)) * qk_scale\n        k0b = kh_desc.load([row0 + j * BN + 32, col0 + 0])\n        k1b = kh_desc.load([row0 + j * BN + 32, col0 + 128])\n        sb = tl.dot(q1, k1b.T, tl.dot(q0, k0b.T)) * qk_scale\n        da = sa - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(da, 1))\n        pa = tl.math.exp2(da)\n        l_i = l_i + tl.sum(pa, 1)\n        pba = pa.to(tl.bfloat16)\n        v0a = vh_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pba, v0a, acc0)\n        v1a = vh_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pba, v1a, acc1)\n        db = sb - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(db, 1))\n        pb = tl.math.exp2(db)\n        l_i = l_i + tl.sum(pb, 1)\n        pbb = pb.to(tl.bfloat16)\n        v0b = vh_desc.load([row0 + j * BN + 32, col0 + 0])\n        acc0 = tl.dot(pbb, v0b, acc0)\n        v1b = vh_desc.load([row0 + j * BN + 32, col0 + 128])\n        acc1 = tl.dot(pbb, v1b, acc1)\n    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 672, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 1 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 608, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 0: (1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_016vu8cyokY9kEVsdKiwhJnu","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iKUFFBkKkVTN2rvN8R","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tallying up the memory allocation for KS=1: output buffers take 256, the main loop's S/P tiles add 96, the masked loop adds another 96, and the prologue's peeled S0 adds 64, bringing the total to exactly 512 — which matches expectations.\n\nTo shrink the masked loop and peeled block, I'm switching them to operate at half-block granularity (32-key chunks) instead of full 64-key blocks, cutting the masked loop's footprint to 48 and the peel to 32, bringing the total down to 432 plus whatever double buffering remains. This means restructuring the masked loop to iterate over half-block indices with row and column offsets computed per half-block, which aligns cleanly since half-blocks of 32 sit evenly inside the original 64-key blocks, and reducing the peeled block to use the first half-block of 32 keys for the reference computation.\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":1395,"cache_read_input_tokens":198943,"cache_creation":{"ephemeral_5m_input_tokens":1395,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"053db04a-dc61-4f83-9c92-662b674c6cbf","timestamp":"2026-10-17T23:56:02.628Z","request_id":"req_011Cg8iKTuQhgz2P21ggphah","thinking_duration_ms":7721,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iKUFFBkKkVTN2rvN8R","type":"message","role":"assistant","content":[{"type":"text","text":"The TMEM tally points to the masked loop and the peeled block, which each allocate their own 64-key score buffers. In pairs mode I'll switch both to 32-key half-blocks."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1395,"cache_read_input_tokens":198943,"cache_creation":{"ephemeral_5m_input_tokens":1395,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"85932a9c-c371-4ec4-bd57-da37a7732723","timestamp":"2026-10-17T23:56:02.629Z","request_id":"req_011Cg8iKTuQhgz2P21ggphah"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iKUFFBkKkVTN2rvN8R","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01CWCaYxF7bijbdh6ToJGCEh","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/gen3.py').read()\n# In PAIRS mode: peel with half-block, masked loop over half blocks.\nold_peel = '''{accinit(\"    \")}{qk(\"    \", \"row0 + lo * BN\", \"s0\")}    m_ref = tl.max(s0, 1)'''\nassert old_peel in src\nsrc = src.replace(old_peel, '''{accinit(\"    \")}{peel}    m_ref = tl.max(s0, 1)''')\nold_mask = '''    rn = tl.arange(0, BN)\n    for j in range(start2, hi):\n{qk(\"        \", \"row0 + j * BN\", \"s\")}        cols = j * BN + rn\n'''\nassert old_mask in src\nsrc = src.replace(old_mask, '''{masked_head}''')\nhelper2 = '''\n    if PAIRS:\n        def qkh(ind, rowexpr, var):\n            lines = [f\"{ind}k{i} = kh_desc.load([{rowexpr}, col0 + {i * DK}])\" for i in range(KS)]\n            expr = \"tl.dot(q0, k0.T)\"\n            for i in range(1, KS):\n                expr = f\"tl.dot(q{i}, k{i}.T, {expr})\"\n            lines.append(f\"{ind}{var} = {expr} * qk_scale\")\n            return \"\\\\n\".join(lines) + \"\\\\n\"\n        peel = qkh(\"    \", \"row0 + lo * BN\", \"s0\")\n        masked_head = (\"    rn = tl.arange(0, HB)\\\\n    for jj in range(2 * start2, 2 * hi):\\\\n\" + qkh(\"        \", \"row0 + jj * HB\", \"s\") +\n                       \"        cols = jj * HB + rn\\\\n\")\n        pvm = lambda ind: \"\".join(f\"{ind}acc{i} = acc{i} * alpha[:, None]\\\\n{ind}v{i} = vh_desc.load([row0 + jj * HB, col0 + {i * DV}])\\\\n{ind}acc{i} = tl.dot(pb, v{i}, acc{i})\\\\n\" for i in range(VS))\n    else:\n        peel = qk(\"    \", \"row0 + lo * BN\", \"s0\")\n        masked_head = (\"    rn = tl.arange(0, BN)\\\\n    for j in range(start2, hi):\\\\n\" + qk(\"        \", \"row0 + j * BN\", \"s\") +\n                       \"        cols = j * BN + rn\\\\n\")\n        pvm = None\n'''\nsrc = src.replace(\"    accinit = lambda ind:\", helper2 + \"    accinit = lambda ind:\", 1)\n# masked loop pv: replace the pv call in masked loop when PAIRS\nold_mpv = '''        l_i = l_i * alpha + tl.sum(p, 1)\n{pv(\"        \", True)}        m_i = m_new\n    l_safe'''\nassert old_mpv in src\nsrc = src.replace(old_mpv, '''        l_i = l_i * alpha + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n{pvm(\"        \") if PAIRS else pv(\"        \", True).replace(\"        pb = p.to(tl.bfloat16)\\\\n\", \"\", 1)}        m_i = m_new\n    l_safe''')\nsrc = src.replace(\"               BM: tl.constexpr, BN: tl.constexpr):\\n    pid_m\", \"               BM: tl.constexpr, BN: tl.constexpr, HB: tl.constexpr):\\n    pid_m\")\nsrc = src.replace(\"HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, num_warps=\", \"HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, HB=BN // 2, num_warps=\")\nopen('/workspace/dev/gen3.py', 'w').write(src)\nEOF\nfor cfg in \"1 2 64 4 2 1\" \"2 2 64 4 2 1\" \"2 2 64 4 2 0\"; do n=p_$(echo $cfg | tr ' ' '_'); python gen3.py $cfg gen/$n.py || continue; echo \"== KS VS BN NW NS PAIRS = $cfg: $(timeout 600 python bench.py gen/$n.py shape=1,256,131072 2>&1 | grep -v '^  ' | grep -iE ' us |Error' | head -1)\"; done","description":"Use half-blocks for peel and masked loop in pairs mode"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1395,"cache_read_input_tokens":198943,"cache_creation":{"ephemeral_5m_input_tokens":1395,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"4d24a514-e105-4c60-a171-19448f53f6e3","timestamp":"2026-10-17T23:56:11.629Z","request_id":"req_011Cg8iKTuQhgz2P21ggphah"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01CWCaYxF7bijbdh6ToJGCEh","type":"tool_result","content":"== KS VS BN NW NS PAIRS = 1 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 608, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 672, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 0: (1, 256, 131072): ok    612.3 us    897.0 TFLOP/s  vs expert 0.619","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"f80d0301-4f4b-475f-a203-d2230fb4dee3","timestamp":"2026-10-17T23:56:25.286Z","tool_use_result":{"stdout":"== KS VS BN NW NS PAIRS = 1 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 608, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 1: triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 672, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n== KS VS BN NW NS PAIRS = 2 2 64 4 2 0: (1, 256, 131072): ok    612.3 us    897.0 TFLOP/s  vs expert 0.619","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01CWCaYxF7bijbdh6ToJGCEh","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iQj9Ksoho4VxFLgsCW","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm trying to figure out why six separate 128x128 f32 accumulator allocations are showing up instead of being reused — likely coming from the main loop, the masked fallback loop, and the overflow reset path — and reasoning about how Triton's TMEM allocator handles liveness to arrive at the reported 608-column requirement.\n\nTo cut TMEM usage, I'm considering making the main and masked loops share the same accumulator buffer: the `tl.where(ovf, 0.0, acc)` reset forces the value through registers, which breaks TMEM reuse between loops. I'm weighing whether to avoid that reset entirely, since overflow likely means the accumulator already contains an unrecoverable inf value anyway.\n\nRather than resetting in-kernel, I'm considering splitting the fallback into a separate fixup kernel launch: the main kernel just writes partials plus an overflow flag, and a second pass checks the flag, exits immediately if unset (minimal cost), and otherwise recomputes with the standard online softmax. This removes the fallback path from the main kernel entirely, reducing TMEM and register pressure there.\n\nI'm now considering moving the masked tail loop into this fixup kernel too, since its loop-carried accumulator in TMEM needs to share the same buffer as the main loop's accumulator to avoid allocating redundant TMEM space.\n\nThis could reframe the tail as an extra \"split\" per tile, covering the masked range beyond the fully-visible blocks. That means splits would no longer be uniform across tiles — the main kernel handles the fully-visible block range unique to each tile's position, while the tail split handles the remainder, which complicates how I need to size and index the split ranges.\n\nThe main kernel would then drop the masked loop entirely, relying only on the fast path with overflow detection and a fixup kernel for recomputation. A separate small tail kernel would process the last couple of masked blocks per tile with standard online softmax, but I'm weighing whether its extra launch overhead (~5-10us) is worth it, and whether it could even run before the main kernel instead of after.\n\nThinking further, I could fold the tail directly into the main kernel's grid by adding one extra program per tile dedicated to the masked path, while the other programs handle the fast path with overflow flags, keeping everything in a single kernel launch with separate branches for accumulators.\n\nIf both paths need to stay live for the epilogue merge, I'm back to the original TMEM conflict, so a separate fixup kernel launch seems like the cleaner answer—costing maybe 3-5us per call, under 1% overhead, which is acceptable. I'm settling on a plan where the main kernel grid adds an extra split dimension for overflow handling.\n\nI should double check whether early returns inside conditionals are actually safe in Triton, and if not, wrap the fixup logic in an `if flag != 0:` block instead. For the combine step I need n_splits + 1 partials, and I'm sketching out TMEM budget for the ping-pong fast path (O plus double-buffered S and P tiles landing around 448, hopefully within budget). Time-wise I've used about 36 minutes with 84 left, so I'll move forward writing v13.\n\nFor the pairs path, using KS=2 doubles the TMEM cost for S copies, so I'll start by writing it with KS=1 for the pairs case, then attempt KS=2 afterward as a generator-free, hand-written version with a constexpr switch in the main loop.\n\n","signature":"CAQSskIKEAgSGAI4AUIIdGhpbmtpbmcSDE7y3nhm+yWBl5k7UxoMLugDGzU7S1zxJ+ixIjAaVoc3z2ynxBjZ6f5O8CX4u0teDmOUN+IvEoLVsxJgt3f58+MbuOpZ423khl/+/o0qz0HtJx9+cLKDannky4tyk+OHi0f4nlDLfCOgbf1H+U+rTB0HlhM6IZJyoE7TUkmMGCJEMwxzawF4zg481hOJvbGqAeIPuHSIN15I3CmNCicEmcKKjvKQcT9LfhtMsrE5011yEEsB+pD5JGFx/5WcymYvsp8xG4u27+owF3FvnkBL7aGlriUZsNoTVWMepa86mCsAobk8beaDmcUGY6htDwGRjBxcGeHnnGwgwQamCQKKWAfXhLiTMmuGWZ1fb/qCzGIF/vARmh2STi1BaTR0Sc80iQjpLlUGCjTr4Iz7UTHnvjbHqf84LNBrd5dSxcCIq/iIMFJJJUJcb53IfXVNMTUL8yfPdi+y+W4SDhooV0k9pS4kvL5GBZtQf8ZGp0lH+Iux/7i3+DiscQaozd/NjWKBuw0TQQrWB9Jg/xJN7mvTwfLIMdpslLKCL19LLR6FnPcn4K8kHpdjzf8k4fAJjq5yF776zIU4YadCKjGRLdkyVVkatLfxOGzkINB9gQvVRS+1W4s0pWFk83sq2ofvdjWN1CiKHSzgK9DSCc1RB7nQXNmpOGj8p1ia8TH5ZKCB+CAEbHGkLFZ/gw+E6i2T7k2guKNxwOsS5/0njJd9xNkHmPQNjE/dCu0tJ0y1s9MtWb3aziAdV3NLbT0jKyJjYtvs5UHiBpTitj104iG24CkPxWiY3CL05i6e1L+hECDUmRUxmN8wfodCMrMsYw48Y2jmXrETNg8fBO6IB0ShQS2n8Hy/ZK6FZ0JJ2gYoZY7bEgGbnUWydyUV4WsZIh67NBvo3GIa8DBq+FoO+0M8mvWyM+iYvWeF2ICxHI3t4MddmLxqsHuZdYELCwX+MZkGTGJsXDtOads8e0JU7E61xhyAqslDA1Jffq/nAc2hQ4MzHriRqrzNONMGUa5Qu1/mdOAIXHq4Kh1PyXOWIzGIsu15/n3zudUJqMURYD4CyMsArkwIoY2jO4aVJn8AXUpmYyEWmQInKsjG+RkQWaSuToXyEkmYsEYl5pNaOrUbQcdnpHe504q86eHJHOlmW71vL34yYkX/wYIZCblX09smHW6raPD2PrKC6UqZj0sGT5sYt+3E47PQDnh4CRqS+oQl3h+OLlKdLE+CHtNf1Df5ixClISX/yFNIncXoOLgWYXfnmZbo/h13pXKoMYFsGrpjkHgvJBwfGCXl2rm8GyyWynQC7NRvds3ncme8J55+KD26UGzuY/QvsDyMcpWe8EFT9vSXm0KLJXtveR0pMK26vfV0eeYzpWH3xfNwI4i4pBSSbxQyzNLnz8nU1beeAi2fmrqijUa0l3HLS7gqC6dFivorDlMOwMNWLKUsrRnooOVOFKKqkccG8IcZvS1+oG9Btvd5Ie7EI/4EfCElwU1QuSCVQNWV2FuRECXsrwooyQ94KDwpMtwWT/XkKD6MqnxJ0m2kr+G+lml2bE928VjjkooWi8+JMX0zQKlWU+fBn3eDAxiL/f3RL3oeQkKexwLJMSVFcaiy/ho25iJkvUfwzA5VbWNnOAo7uvnhJYbiw1dzKx3TcCMuZboNWsGOhtRwKyT3Pw0CAIFJDuhxil+GYV1dUn3VQ/JDeKvDDzKgdFIQ4ZzB4eb4J0FXQ8CyMCpZdz0mKcFMx/HCJv0+MmqthN9+keZ5xM2SfC8Pzg51wdW5EPMVclu0fo+Q6dAtKG20fEOzoQdAqmtQwFNcWsQ4Zd+mZeB1GJeE3UEkbnftWNABo+b2tKbTfNt8//oj8F6J7CO7Z8gqFK8HjhShYco8CEi1uuailZTxZHIwpVA3Aihm7XFjG0edl0Fl+8M70V1NvF3lDW7g65nYfR+LwBFoOoUzNBAAXEtfaMbl7c4AXtUmBM1tKGnJXBRxQ7ki9f1lJ1Riuyti1TfXCMHTwpf9pez1K244hCWiFkBXbpoQe3q6Hz+Ip3yvsR1znyAw+IwLb4p5GJZVVpmvf2aZVQEXMr0fjoOhr7zQq9zYL2iFTGo0Xtx6g49X2e6jibyN8q9dglFs354o1SZTXsvPZjfrDUVcZr372NdSL0l+KHnOkTR9se//tjhepwtP7fYk95sRsCu0EBnxdLWEkj0iyiFRb5oWCJY408PIKwGulkzF8SIVMt4mWN9XsAJ36yN/t4WZpxNGdvWEBs5kQ8vnHq/BGk7Oq3latgz87VJ9RgRoq9z6BJeyiv7jy/f1qIWVBK3tzNfi6+HCiYPtiy85+GKKHWOgnv+49fAdVEjRjxOAo0iIVX3HaBr6qnf27sWiWMYRSqQiDkXULq5E0d32DhQ0NEzqXzLE2ZL5PbqwvwEnbhMeqftq3gBdTzGuV0qZjWdCkAZSU2R1UhrNXOMeSWRVrTevLEbNK3B+uVCwerhhQQ2EIdqkrHfDWZqNwz4wRC3bpAJ3BlyZnFhFmBV9q3s3IzIfFBTemluwezJCQgYkZEMZzvSPeXRXcU5lxsGm1y7gdwQGC9Y2wbp372QXNoKuyDtTzPvKqcE59NYnfk1UIks+i3y9XJAmHXlx8+IOHls6mti5oXBfLbZ16ACIdwLNav07bWPPsqPVTcBeLxJiPL4GTHERxF4DyTBgI8+pjwnBsG4K1F8MyK5K+byuxYSvBre1jVaAp7wqYtCrOkm0ZesKY/4VvQaJrzqLu4GJmHka2Yxa3yHadmYqP/3waSx4SDl418YMLcpLhGLLCnyyqLpd5gUu7xkqRD2WdaCtZDsigG0Nr4/jZkScPHG+HDPpF9ovOlXVRkEKsJBO0J95hE5ER5IQwkSPFL8zoypG6Gf58pA7ML1u4agPRrOUnK2Dtbty1h6K5DZSun82y2cOkczgj7u8AAMjfayR0moqKWGP4Ca58K6eTxKX7Gb9o4u2b5ZAXDI6NMzXBzvrh7BK7/GKH6Edp0liOJ4f+EpYRC9ScVKts83QsY8cikYiFTIh374XFHyzeAB/1EVwlZUWYKofDcV+cIBarsG+HkTAf+BVm+QbFnrnZqchSKFEs81O1SlzKLrGZkYOsIj+NlooD+EWwFkt1icltw79DrdPefDqAAxucJG8/EURCpXKp27BSmgLZ45BRaz39FvR9UNmQYIkBv8tJWxy7n0KQxjeCripl+XJmfhuUUO/2W0QRvKFd2yJ0duVFQNNnbeuJeRdieMMeppzK5GUq1oHXWpRr+DQQ4ZblXwgvTD7P/eE3ynq3DCO8r53stuPdb9hpwm0SuN2F4sPVmvmDbJXpMAQWdmxnGYY7lVB4nGzDUsoZe6kTwYhciAsBmETj96xBzA1IiUPsB+wUSTot3znUVviF7wbRR4XU7CzyARGeakKYsY/C/k4lMKN3udxM+yyMD1kW1KRYM54Bsq6swoIXTceMSdfQZRZabQjNgYlupw7qft+VgRpBb5PRR+wkTxG3A3SZmJaWGmLQ0SNCB9qinuaWIeoq0qP/rDdK8HJEQeHRXJId6PQfoslzPjSpdel9EEJWn904N4/xG7C2TMq1QmqkARcazXwiHD5N3N7HsfzbC5uyXug4pg5cNCRL64DX48n5Su+fyrCkrnNberodNZRuAWpOJGrThbl2ETerv6ImLZeh+7++/RitpY7QbeueIOCA74AGX4talbD0+tHxfK7YFkmCCKBt806HVVVifVH+PQ4knGVC64mdKb6M8pZdzzARGwaazORk1AS/t1grEmvtriwUq7O9CsPgmxAqGcz5rJkWHdSxpshljM2rFOvNCZ+1CyHV4xcw/vr+FYEnCYahS2ZS4k3SW1MrQreAdABERETR9ZO+3sAUpvryjdDLy7uXq71/M20LkqDrq+VPsqREP8MkhIfpnlp02BM0f1g8Lw4aoR9NcPp6s8rOC4lPGshpl+k5JqcMhmRM68Ijk1nwq6u2j5sBt7NZDAO3YnQc4EQ26et+iZeSzdTDp8ovJFI2e9pd59iCANn1iJUsX/do3zkf7YQrV+uAUHPin68zdwKJjd2ZGne6IWJs5dI5eWsYGBD+DsB4KSYSXi88iwOQVS/AL03eZkoxkowhyn0NPjkklW8yau7T/L+c0AAqs7Acjbuda9jtlRskbEmLRvc/FGNzyuHRdtEgFV1xI6nyLCjp8x7zTgrCdac2wNgRIA84oX1N6IIFn3CnKEQetis/S38neAW0qEG8wqVq9FlwJicZ3UmtK1brY5pOpv0ZfljIcVos5vnMIINkFlJIh4e9IQdOgPh9zxxw5J2+x6R2iy+Iz1dqMg2w3oD+iSBUrohs6bCgzyV8wQvVCzHUUSmhBdnqY7AHXEWZVsmpDN6MHaWuwX3r4FR69j2CUr23AQirFPQa+MHRwq/U+aR0KA0ND/KBhv6GXrLghMbi76G+5WZ0CTl+fVxAKPIC/ofs7lVmiFqXLGZJU1zEuYvyQ6a+9TDDADWTt2V1V5Y2lZwTj3oavTvkb0pjDT2A5nWIvqOvOC3zQicxrVIh1Y5uyt/GuBRm+MWwub67cbkPJCz/KQp4iHC45LKccEhPm0GTLu6UMcB+d/tpArlb7mw75Fh3XwDC4nuottZL+zsRNzsnh2sRwuWLaw8h4Epp+s2TACj8a6iRJ/wbVeUqfAEBSn1+vH+HSuhhgafSusY804I7c9KtpvdBkF90D1/nu92+GCFEMKYWK66g0895hnrqrAckQeXjF8Gtg9NmDx4S7QZJByDVqcLjJOTH17/QMSKFrzFQLWYxqIGCcatGlp+dpfKP8qvCOC/sRp4tfBNHGh72MUY565gdjWNzZR3Lk7jGdr5OlvbEEkJc7gF0fYMLJsO7ZwejwGtObA3q8mx6VR/s0VeIJBm8ZqCZUePqX8fgzBQUVmwYGmLZzyHVdUOddnyV5veDHjcjRSCLx2NulQXCHFf+gLstgWI5zS2SSoS/SEtCcp7tz6dN7WnDjzmwgD2wO7L5OXHAC9CoH0EThnMu9o3ROwvP2ZovDrF+gRv83ahCSFH4TMnvTPy5ODO6SBfjlYtyTRUKKxYJSPfH9vnCcBpQ0taKjHOxl9TU3dWOCbQdrDMMXPz2WbCIWt7/4q3s3ycmv3MzVOTOr0z7ubh5M96p9WRJJC4NWFaKz4qLPomwO3Sdjj/Hp+BvB4B6g2UDMWOdd79++fPquowfboVX6JoAf0Wrzvk9bUeDe1dGdvLqqFlBvPX62kC1Bwzutvs/z2RRDsIylIP7N2ZEsmau5JT5kAfD/X1dlHiR7YVHI9W/8I/iZqFzuidIvIKBlyS0YoUW8I5eMKmjejQsUnBJIjmQOJqzgQEatOnbV8mYwSPFjdZV55uh5Jr5PRvbA6EJeemAmWF1QwDf7uFTwvZ7zALTzrUFzjvW4tH2MgsmyNsvXWg3xgMKE5nzjC1e4UBnAAl6safjLr7yjMwLfPeqy8vELul6S1utKUTCtW6Iz1hSkBzPPQqW8kI++EOURKmWsht0DUMD3fgsZdYVtTaOjQFsh+ixCpIFNGd7NL5EXjuNfBwP5J3LlqakaezCi8EbC+ahgAPbbCsU9zjzccZAlPRx2xAL9OFaEg0YUE6ks65Sjy7NuSyMv9c5+2+XtL7abr8LsMiVTnSju6BgErXWBnSsAhhW4+lG6Glaozj5P25++TuZZZcML4qNkNSBzbcRTMqkkPAZZzd+avF7l7a9Seb0TInSyAP46Ozlvr6zaUrua/npGkiTtw4goaXqsiRAtSRN4n/h/jAsZQQR3sd4wxGBafUB5yUQmh4vtBLqjV5RZHNbmLVhNMD9mk+OVGRuJ6NQZUfK9ic9C/ZAKugsENdV78OuqVf9BBY3AO/R7yFymZqO1ysta6wNGOifLJQcP00NALa5dGWg6BjxLsinU4ufI9Jc/HXXNkZ5CTUW2dR1Lcv+WXOiM+sjF/Zqg6euoKoae4qy9rryOdfUboWsNZDJQVhE9P2Dzr80U3BQcWFVkxiFiDA+9oGCDMYwaUfAk55dJFchMfeE1m5YwTBBE/+bUGsp4INaUPmo69YWqMVW4JGzeJHQ1MN+aXqzVogAOb3WYIG1ycQnIAy7+L0x1jbjsNyKzdGlg9uKbGWI8KFp020xGjaBWZ9+5gvTmve7g7SzKcu3vfg4AF+te8y06Q2ngipU0BhuKQUXel8Ltu7lqOnSutWdVmH4SBqY5c6p4F7YtQnvEHpUcZR8XU199vR9vp5LyJXDwMqY5vEkT/iWBq65VKAwFB516dg+FZXyPzUCoWi0EQckBNS6pYg2Iy/5onCmskv61lZ9sntmxiTv9MK+2yyqWY0jpHU/H8F2a57/5RrS6daSt1491oOO24iGIHaheXZrPy7D2sxEfj8JqF16Pt4ABC4dVuE/Hd/XRZY6T3C3I/v6eK8fUsS+XvWS6DrL8UNJnutTyEq8PFloK5kY3oDYwpBnOGum7Uz1+f5DSy84b3cZdCn9qqIpQMYWHKb7D2X7UfDmkS1C8QRyNGyBWkAEmgw/dJNH8Y37s1XRklOvuhzJOHLvcIvgwOk0buKengLOMiPtBemTEajCG4peQ9ncIfiIZlc8lPgN4YC+XHO5iiQNecfkO5qduK9zM8laaoJz36+3WbicmC+h2Ano7d83hRs/kOoX9BkNfyRljOYZsWqE+m0AAFRJ9+mddnFNg0a4BPynEOfOAE2Z3ioEoups1/TcIYt5q4FxZI3m3b0adCZ0ef0yscKq69d+GmR8rJR26yKtGch9yvSgkkotTloPE7++oCqnJ2z386aFvS2eboDLe6ALdDKeup+Gnm+VNBUyDcfJ4R7xjQ9uIp8V8XWbnYm8DeRl2hlls2VJZxn6eI/VoX0Mw72NU7ikTPoFjWYBEzZV39BVD8gV48Q+P/Wp3+gLO3kMGsyXbH/hWD6H43nQa4CxWTxyGwsvnUgWllGgoekcWlAhArnCXjGqe5fKAFLa2DJeETRnlmkzKuUkz9bgWJZK0mQIdQNf01/C8F7TBstSweUZFIGM1vXigxUI/8S8GE8g77IUusPTwiw3t/rri5ZN6EyqvQaWLK93KnD4LSHwKJ0fADO5vvC1nQ9oWNZkYJxJcfI1PT0cm6QNf7GUEOfc2toCx2tSkN5pYTxOsAsPSAbhgSTm1+mWM6jyyaPMt3lBgigM1j0wyHKsEfBmWf84oHGtfKTPGpf42TGbDlpl6B/4Qadz67UBmmRUtgO2qxX/AhZk1N8fjw7sAhjH/2iLSfmSPk4Y2o4frFOiSCOEAak5ZIdE5jH2PzWZI/bNy/ahCFQcWMamChuJ519mojMrUwZ0KUpO+H+HaUlsc5+Rx/CTsk4BETh52jiseg710SiiopXW00NiT7PElYp+3T4jQ8u6kBg0RdfREnAmg8R65eFo+ASu9qLd5EQkkdh496LZsTCh5E7VryB8jSkkhWh0n0HuU+Et+aEICCt0gBEVwL2mbHoLh+ktHevErMm7b6yseCEC5zvFW1E/3bbeX7OARLgLT580QdASm6MV7Nie6UbrnwuUx+aHU2PjO+GxnrNWsjnwhd7YE1lSWrRoMPFeT8GtHO2iNvm3riozK1JJ5KgT/fORd7j5z1wZCOCu/1k/UUI7wSvgyYC3kvKwaYP5BrpDW8FpnNEvCL7kzfdPyuyXm8IqHdZElCbLbFAGTYehvXLrvYyKzamo5luNnehAxSILs44GGGqpa2ZZHziH+unfjSw7bKk55Eze1lTBPQ9Oy81QL7wGVkKA8VgPub0OOc6MuEHRYMnjLF0MfSW4xftYQWXOJnOArbczwFm7d7fnx8ZDPQwEqSvmSMvVSLufrCyboX3TfTXu4smNTt8d1QWffZiuq2bzHBGodfBtJNqnpX2M4lkyXJKRskECBPfxKWjV8bVS5T8p7LNYwjoN5HwmKuMcPDwWF071HCuajS6iREH1WfQLm7AtxshkUt3a2ixn6wGUiAxUk89iHRULTjfkjveK17sPZN8FqatL8TQaI45zNWqMm1ooqAM43FMeSHnLnAOPyJTNYO8Abz9lqGUSyjwwWAFal6kLFwAO3SM8lpLjtla4NNybZXWn49pX6eQcOJ4Vwaf1TGOi8DNGAHJJMUpYNMxv69cyg/LvGD8qt7jpZnRHhfa720SnF35VkGjpw+QQ1liQ+XVlhzDXCm+NdUAS35rvKCs8S/qtrM9ArDcM4RnFKbYK+601M21ub4QKQA3r+4adM5qUoc8GfPo0bFpU7KoHVqTNmeQubEi4I8Godbj1GMDBXL0qp7hlwMbhUQjBpmZ50LULTQ0rPjJoTUB2v2RAbWF/McmK4X+BZLAbcVjPhcOw9MjLJLFh+hz6EuoX97A0PJObECcLk/bgcHB5oUHEXYFHtM6ynKIxWsArHBGGxqODSNh3KzF3PzeZXrNzKB5I9mdf99O4Ef8i2ANdfKrAja24285xbCg32tc1DzTJ76Nf0sq/VDP2QzZ3RcrXpDHm43BSRJypXUYCfUmp8DSX8bK1DF3GNKrKLHqDkxz97YkKs/QwYyJT8EZJBr/O/HigpZSR1/vgDZR8tt78SlEfCMKI5EvTNmSb0a4Xlwx0odoCnQzmQ0W3a0THUIqmjA+F1KUMSq40SJplTu8UKD4dwy0ihbA4tq7dFbCKR+/Ct6bTHO8yRNrsHQIAsAawMZmIlLhPQhu7u8E5xMyteVuxmBSh3j/ujVIGlJcBEp74A65TPATqKq01ppHt6XorDBeNm/Rp1WBu+HbL5OE7pXcPwdc4ycs9J1h6MxDAiEYi2EknJspuF81yLGQFEajgAIa0yx2da8T4W7QwgpKu3ZXPGGQzwj8HfvIBMb+eYkJA15EDYE62glRa2WCIshthESYq90lc61hTBmw5UwwNKyrl1MuMFemv3e71DkCL0igCrw/+1iyaHRKz7UwLRi4COOY1ha3PxysVBiJC3AwzE9vMaYhPtz3M05AneREPgi8aNculEzvMa7YFi43PIbW13T1cqb0T2BrcVN+JcJc79EEuZ3wW/RMYGC4SxX5fEcNILzYxVrzplfNn43AL4Kn7A7TC6XVBDlR9xDmRk7zPFed3DV+qNNlXuM+qwl+EdKAQOycPCZDTN1S8pDC77YZi/6O6Khyghr0JRvSLnsgEC7lGtHil6VGZqJ49JcsDaQTH8koH8I7s2i5bE9YDBrDXaJM5ifNCE9pVpiUDZYLhSYy47cF/TEUI+8O45EXWG5shQBNiMZgy5WijUxm6WFNCaKeJolnaNh5MetICqNWd4YHDcDRgdODzvdv9vK+sqJpYdeA00mZOx7uoQrsuW+yMkmH/FhyTcA+w7SrSfGbAUH5o03mwnJz8ScVibYhC2U7hNeTY1tsOM0oR/luxzWuOlBhJSEX4lvygtfZKd/R1x252sDe2UopNawjMdv0juDFEmbp9L9R6ew5Cv7Qu9gyn2uTK1izG9iOSAt5YXLKj9OGk2wq202D0zwdPLQhh+cL0/qHId5FRZi6YP3y2of4Cj/n0prWVen05YU63tc9pCno82u7IejUm6QkCwN7vLOSBiR9v6kNW/lwzlQlj3qE8W5pYgfnr1J6Bsema6NLOI1DliF/5blrcSl1f3HsjPeqJNwl6xJGLHLV52NgLKev1ACHy9S7fDc3F+91u0iJupwmxiLEuRVuXNp/N6yieVCiJW2B3At6A03Ptp0LXLPtrjVICB9KPkpBS+go+KXim2sdguXt+8LCla1Z92XRaPwt5tbYKDxQrYr71CJxIidZf23NpqAQq27Xz4Z+T79Q0NUuFGb6DxcolHqvWG9Rg6VdZDPptwcLzDwWqc7YT5oXnmcvGTTcCIkdIQnvNtrxO0rM7jzWPp4+OvXC4VRxA6jejUG5Z9dIXKgbnYql+auXIPWAhei/YcThhvNionG3u44mEGv+3VIu7fExzIeSis1nFJB/438JIA0SV37sBJM9R7lmsbpd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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iQj9Ksoho4VxFLgsCW","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'll restructure the kernel so the fast path never shares its TMEM accumulator with a second loop: each split runs only the unmasked path, with an extra program handling the causal tail via online softmax, and a separate lightweight fixup kernel recomputing splits only when the reference-max check trips.\n\n","signature":"CAQSrgoKEQgSGAI4AUIJbmFycmF0aW9uEgzEIHWxT0z9kzL8KUoaDG2N+NYbbtpe4Tc5VCIwPFdEC7QyOIGTO6R6bHGXbyC18jGmYoVsgB5oEL2spaDaEp3q65R4s7iliO8E3iubKsoJ7oethZGFILG1vCJmQGFJwEr8BLCOGw/0Vk9qRh3TeFpfXA4JKDZANtsfzQGKtzv6OsaZ71GcgtcxCFBlll9srwcTMvdeo0wdPpiiM2i3dPZ852Y3AaLL8MfHLI53k9JHgRad1XJZdhCfHe+f6t00tNGZO9spSo1VFPPEe52nG8OnzY1OVP3DfhAGBbJaSTr6nyYwfRLKiDGKeb5kddXmR0EJ6yDeOqubQXPRpE+Gg4qL4nEbstJWaAAWzcnP9rkx/NZdPsqyit7g0orXv3p7fxUelbo+uh5VoYnIvX4gazi1IqLexFm7vLIRYvwLEb5gY8fdVGETvLQb+vcF277Ql3W62mBSfGuJ7hCXe6pWGndV8Pj4Hsptn8nZQ+qBlJ5Nn0MfIJbw/tYwhenHvbcjik52p8+2QVF1VzB4CZl8b+cohyHNnfm3fU7ys3ojM+cogz5fJWl3nnfF1lza6BUtgeu46cQ3H6tRqYyP3OhrFIrYSIeDeJ2dGX6F78ulZxEjBcZ+ssCc39DhlQeBC4Boq7yNnmdkpb1KPSTAuj+9KEUay0V6/2J/ESzQZTutxf8xAy/iH+FRoyv29Rpxa45vxABuqzOwxe3Rxi24sZqUKOKqKGptOoxGN1xQ5EMBLolH66CUvmDfwrU4MrEpwpAP5bm0cmMdhD7ghJIGxsZzImM5gUz/P+mkHEgbl5Lr9A0AMHPNH7n3QnODoQJD9o2AXZgTl9b0Mwvl0jeKJzZL/iLXNKSjBZPB3EczSZa+dZsOupqTslmuWtZhqmkVaOjvu/UkV5AHMHZ/6/WiFQKw2ond7kDuS+UmTGlb3PQoYGKA3VYILBjfI0DxHks7kffNaBTB6BciENdfK158b/OJWRItJtZl2WsfPo9lPenDQeVp6vRQzedt7zc3H/0S7GJKaqmlgFAjwI1kJgPqMhxZorByupwvUEZdkAe7TZNRq/I8Z/b7iAn5iTtSlvYi23wYqn/HySDNY2UO6W6UYKWmKhnUGrdajo+SLIlgzTInA8Y3itRxt31ui6VW8MUhxTcYJROcq08gP0PXw6CCAI7n1xvbdGf/200caMI7LNhRwYS/a8jDio3emT6z9WVBXUaMlp+st0VYnVge15frLSG5iUlg+no6isjQNSwRdjFvvleNBCuBGmKhwbpZQSiRbZ8DUiRjCiIzIo8LWHDeO7LJUJcBe53eWhX2345D0mqN7DyTdwqVI2oKrk2e56JT8knabQ74UPt7c1iJNNZAd3YjFWx7j9RzpPOMFiShapGb/Lx/vUu3QQV02uhsh08umuPpJytnaeF9Py9gVIS7hyloOCXCdVoJKwjCakvkNgvEeGqYMhVQq6Rbn5tm+UXNYNXGzMTaYxeeDAop8/JIvZCWB6eSIDypRz7Zg104p+w12XFVl468WanV2G9mI9w2dq5QqVOmXDkDjH5yvMpPziWS5WkcTGyQYqI87ZLy3/m8tXFtrEAXIpXQO2stS6w2YlYyBPi5V6ecwX/gAcWgdZucCUdkYEsSBFIUdokogzJENTraB83wIkbO0qeHzprHZUm8ade0yTFIQmS4w/Hn36OhjOO1vvvD2A3jM1mA5Q0QJIWsHnX4ST+ymyf7trvjesHn3X0+RPPfDHwhAtsYAQ=="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1184,"cache_read_input_tokens":204017,"cache_creation":{"ephemeral_5m_input_tokens":1184,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7835e69f-fa76-479a-b571-01808f1868a1","timestamp":"2026-10-17T23:57:40.793Z","request_id":"req_011Cg8iQimWHnoiASCmW3WaP","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iQj9Ksoho4VxFLgsCW","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GfX8GgARWP3UeaRuZYvy23","name":"Write","input":{"file_path":"/workspace/dev/v13.py","content":"import torch\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _qk2(q0, q1, desc, row, col0, D: tl.constexpr):\n    k0 = desc.load([row, col0])\n    k1 = desc.load([row, col0 + D // 2])\n    return tl.dot(q1, k1.T, tl.dot(q0, k0.T))\n\n\n@triton.jit\ndef _fwd_main(Q, K, V, Op, Lp, Fl, Sq, Sk, n_splits, bps, qk_scale,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n              BM: tl.constexpr, BN: tl.constexpr, HB: tl.constexpr, PAIRS: tl.constexpr):\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    b = pid_bh // HKV\n    hk = pid_bh % HKV\n    QPT: tl.constexpr = BM // G\n    q_start = pid_m * QPT\n    rows = tl.arange(0, BM)\n    qi = q_start + rows // G\n    hh = hk * G + rows % G\n    qmask = qi < Sq\n    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n    rh = tl.arange(0, D // 2)\n    q0 = tl.load(Q + q_off[:, None] + rh[None, :], mask=qmask[:, None], other=0.0)\n    q1 = tl.load(Q + q_off[:, None] + D // 2 + rh[None, :], mask=qmask[:, None], other=0.0)\n\n    shift = Sk - Sq\n    kv_end = shift + tl.minimum(q_start + QPT, Sq)\n    n_blocks = tl.cdiv(kv_end, BN)\n    full = (shift + q_start + 1) // BN\n    row0 = b * Sk\n    col0 = hk * D\n    l_i = tl.zeros((BM,), tl.float32)\n    acc0 = tl.zeros((BM, D // 2), tl.float32)\n    acc1 = tl.zeros((BM, D // 2), tl.float32)\n    ovf = 0\n    if pid_s < n_splits:\n        lo = pid_s * bps\n        hi = tl.maximum(tl.minimum(lo + bps, full), lo)\n        if PAIRS:\n            kh_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                                block_shape=[HB, D // 2])\n            vh_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                                block_shape=[HB, D // 2])\n            s0 = _qk2(q0, q1, kh_desc, row0 + lo * BN, col0, D) * qk_scale\n            m_ref = tl.max(s0, 1)\n            mx = tl.full((BM,), float('-inf'), tl.float32)\n            for j in tl.range(lo, hi, disallow_acc_multi_buffer=True):\n                ra = row0 + j * BN\n                sa = _qk2(q0, q1, kh_desc, ra, col0, D) * qk_scale\n                sb = _qk2(q0, q1, kh_desc, ra + HB, col0, D) * qk_scale\n                da = sa - m_ref[:, None]\n                mx = tl.maximum(mx, tl.max(da, 1))\n                pa = tl.math.exp2(da)\n                l_i = l_i + tl.sum(pa, 1)\n                pba = pa.to(tl.bfloat16)\n                acc0 = tl.dot(pba, vh_desc.load([ra, col0]), acc0)\n                acc1 = tl.dot(pba, vh_desc.load([ra, col0 + D // 2]), acc1)\n                db = sb - m_ref[:, None]\n                mx = tl.maximum(mx, tl.max(db, 1))\n                pb = tl.math.exp2(db)\n                l_i = l_i + tl.sum(pb, 1)\n                pbb = pb.to(tl.bfloat16)\n                acc0 = tl.dot(pbb, vh_desc.load([ra + HB, col0]), acc0)\n                acc1 = tl.dot(pbb, vh_desc.load([ra + HB, col0 + D // 2]), acc1)\n        else:\n            k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                               block_shape=[BN, D // 2])\n            v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                               block_shape=[BN, D // 2])\n            s0 = _qk2(q0, q1, k_desc, row0 + lo * BN, col0, D) * qk_scale\n            m_ref = tl.max(s0, 1)\n            mx = tl.full((BM,), float('-inf'), tl.float32)\n            for j in range(lo, hi):\n                r = row0 + j * BN\n                s = _qk2(q0, q1, k_desc, r, col0, D) * qk_scale\n                d = s - m_ref[:, None]\n                mx = tl.maximum(mx, tl.max(d, 1))\n                p = tl.math.exp2(d)\n                l_i = l_i + tl.sum(p, 1)\n                pb = p.to(tl.bfloat16)\n                acc0 = tl.dot(pb, v_desc.load([r, col0]), acc0)\n                acc1 = tl.dot(pb, v_desc.load([r, col0 + D // 2]), acc1)\n        ovf = (tl.max(tl.expand_dims(mx, 1)) > 16.0).to(tl.int32)\n        m_i = tl.where(lo < hi, m_ref, float('-inf'))\n    else:\n        # causal tail: blocks [full, n_blocks), masked online softmax\n        k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        rn = tl.arange(0, BN)\n        for j in range(full, n_blocks):\n            r = row0 + j * BN\n            s = _qk2(q0, q1, k_desc, r, col0, D) * qk_scale\n            cols = j * BN + rn\n            s = tl.where(cols[None, :] <= (shift + qi)[:, None], 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.math.exp2(s - m_safe[:, None])\n            alpha = tl.math.exp2(m_i - m_safe)\n            l_i = l_i * alpha + tl.sum(p, 1)\n            pb = p.to(tl.bfloat16)\n            acc0 = tl.dot(pb, v_desc.load([r, col0]), acc0 * alpha[:, None])\n            acc1 = tl.dot(pb, v_desc.load([r, col0 + D // 2]), acc1 * alpha[:, None])\n            m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prog = (pid_s * tl.num_programs(2) + pid_bh) * n_mt + pid_m\n    prow = prog.to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + rh[None, :], acc0 / l_safe[:, None])\n    tl.store(Op + prow[:, None] * D + D // 2 + rh[None, :], acc1 / l_safe[:, None])\n    tl.store(Lp + prow, lse)\n    tl.store(Fl + prog, ovf)\n\n\n@triton.jit\ndef _fwd_fix(Q, K, V, Op, Lp, Fl, Sq, Sk, n_splits, bps, qk_scale,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n             BM: tl.constexpr, BN: tl.constexpr):\n    # recompute splits whose fixed-reference fast path could overflow, with a standard online softmax\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    prog = (pid_s * tl.num_programs(2) + pid_bh) * n_mt + pid_m\n    if tl.load(Fl + prog) != 0:\n        b = pid_bh // HKV\n        hk = pid_bh % HKV\n        QPT: tl.constexpr = BM // G\n        q_start = pid_m * QPT\n        rows = tl.arange(0, BM)\n        qi = q_start + rows // G\n        hh = hk * G + rows % G\n        qmask = qi < Sq\n        q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n        rh = tl.arange(0, D // 2)\n        q0 = tl.load(Q + q_off[:, None] + rh[None, :], mask=qmask[:, None], other=0.0)\n        q1 = tl.load(Q + q_off[:, None] + D // 2 + rh[None, :], mask=qmask[:, None], other=0.0)\n        shift = Sk - Sq\n        full = (shift + q_start + 1) // BN\n        lo = pid_s * bps\n        hi = tl.maximum(tl.minimum(lo + bps, full), lo)\n        row0 = b * Sk\n        col0 = hk * D\n        k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        l_i = tl.zeros((BM,), tl.float32)\n        acc0 = tl.zeros((BM, D // 2), tl.float32)\n        acc1 = tl.zeros((BM, D // 2), tl.float32)\n        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        for j in range(lo, hi):\n            r = row0 + j * BN\n            s = _qk2(q0, q1, k_desc, r, col0, D) * qk_scale\n            m_new = tl.maximum(m_i, tl.max(s, 1))\n            p = tl.math.exp2(s - m_new[:, None])\n            alpha = tl.math.exp2(m_i - m_new)\n            l_i = l_i * alpha + tl.sum(p, 1)\n            pb = p.to(tl.bfloat16)\n            acc0 = tl.dot(pb, v_desc.load([r, col0]), acc0 * alpha[:, None])\n            acc1 = tl.dot(pb, v_desc.load([r, col0 + D // 2]), acc1 * alpha[:, None])\n            m_i = m_new\n        l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n        lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n        prow = prog.to(tl.int64) * BM + rows\n        tl.store(Op + prow[:, None] * D + rh[None, :], acc0 / l_safe[:, None])\n        tl.store(Op + prow[:, None] * D + D // 2 + rh[None, :], acc1 / l_safe[:, None])\n        tl.store(Lp + prow, lse)\n\n\n@triton.jit\ndef _combine(Op, Lp, Out, Sq, n_parts, n_mt, n_bh,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr, BM: tl.constexpr,\n             SC: tl.constexpr):\n    r = tl.program_id(0)\n    h = r % HQ\n    t = r // HQ\n    qi = t % Sq\n    b = t // Sq\n    hk = h // G\n    QPT: tl.constexpr = BM // G\n    pm = qi // QPT\n    rr = (qi % QPT) * G + h % G\n    base = ((b * HKV + hk) * n_mt + pm).to(tl.int64) * BM + rr\n    stride_s = (n_bh * n_mt * BM).to(tl.int64)\n    sc = tl.arange(0, SC)\n    rd = tl.arange(0, D)\n    m = tl.full((SC,), float('-inf'), tl.float32)\n    for s0 in range(0, n_parts, SC):\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=(s0 + sc) < n_parts, other=float('-inf'))\n        m = tl.maximum(m, lse)\n    mx = tl.max(m, 0)\n    mx = tl.where(mx == float('-inf'), 0.0, mx)\n    acc = tl.zeros((D,), tl.float32)\n    wsum = tl.zeros((SC,), tl.float32)\n    for s0 in range(0, n_parts, SC):\n        smask = (s0 + sc) < n_parts\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=smask, other=float('-inf'))\n        w = tl.math.exp2(lse - mx)\n        wsum += w\n        o = tl.load(Op + (base + (s0 + sc) * stride_s)[:, None] * D + rd[None, :], mask=smask[:, None], other=0.0)\n        acc += tl.sum(w[:, None] * o, 0)\n    tot = tl.sum(wsum, 0)\n    acc = acc / tl.where(tot == 0.0, 1.0, tot)\n    tl.store(Out + r.to(tl.int64) * D + rd, acc.to(tl.bfloat16))\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, out):\n    triton.set_allocator(_alloc)\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM, BN = 128, 64\n    QPT = BM // G\n    n_mt = triton.cdiv(Sq, QPT)\n    n_bh = B * HKV\n    tiles = n_mt * n_bh\n    nb = max(1, (Sk - Sq + 1) // BN)\n    n_sm = 148\n    best = None\n    for kw in range(1, 9):\n        s = max(1, min(nb, (kw * n_sm) // tiles))\n        bps = triton.cdiv(nb, s)\n        s_eff = triton.cdiv(nb, bps)\n        waves = triton.cdiv(tiles * (s_eff + 1), n_sm)\n        cost = waves * (bps + 4) + s_eff * 0.5\n        if best is None or cost < best[0]:\n            best = (cost, s_eff, bps)\n    _, n_splits, bps = best\n    n_parts = n_splits + 1\n    Op = torch.empty((n_parts * tiles * BM, D), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_parts * tiles * BM,), device=q.device, dtype=torch.float32)\n    Fl = torch.empty((n_parts * tiles,), device=q.device, dtype=torch.int32)\n    scale = (D ** -0.5) * 1.4426950408889634\n    _fwd_main[(n_mt, n_parts, n_bh)](q, k, v, Op, Lp, Fl, Sq, Sk, n_splits, bps, scale,\n                                     HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, HB=BN // 2, PAIRS=PAIRS_DEFAULT,\n                                     num_warps=4, num_stages=2)\n    _fwd_fix[(n_mt, n_splits, n_bh)](q, k, v, Op, Lp, Fl, Sq, Sk, n_splits, bps, scale,\n                                     HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, num_warps=4, num_stages=2)\n    _combine[(B * Sq * HQ,)](Op, Lp, out, Sq, n_parts, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, SC=16,\n                             num_warps=2)\n\n\nPAIRS_DEFAULT = 0\n"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1184,"cache_read_input_tokens":204017,"cache_creation":{"ephemeral_5m_input_tokens":1184,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"4040d980-2a74-4ecb-a293-fa0a262e375c","timestamp":"2026-10-17T23:58:18.927Z","request_id":"req_011Cg8iQimWHnoiASCmW3WaP"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GfX8GgARWP3UeaRuZYvy23","type":"tool_result","content":"File created successfully at: /workspace/dev/v13.py (file state is current in your context — no need to Read it back)"}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"89fe3986-d2b9-44f5-9569-0ac30d8afdbd","timestamp":"2026-10-17T23:58:18.941Z","tool_use_result":{"type":"create","filePath":"/workspace/dev/v13.py","content":"import torch\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _qk2(q0, q1, desc, row, col0, D: tl.constexpr):\n    k0 = desc.load([row, col0])\n    k1 = desc.load([row, col0 + D // 2])\n    return tl.dot(q1, k1.T, tl.dot(q0, k0.T))\n\n\n@triton.jit\ndef _fwd_main(Q, K, V, Op, Lp, Fl, Sq, Sk, n_splits, bps, qk_scale,\n              HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n              BM: tl.constexpr, BN: tl.constexpr, HB: tl.constexpr, PAIRS: tl.constexpr):\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    b = pid_bh // HKV\n    hk = pid_bh % HKV\n    QPT: tl.constexpr = BM // G\n    q_start = pid_m * QPT\n    rows = tl.arange(0, BM)\n    qi = q_start + rows // G\n    hh = hk * G + rows % G\n    qmask = qi < Sq\n    q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n    rh = tl.arange(0, D // 2)\n    q0 = tl.load(Q + q_off[:, None] + rh[None, :], mask=qmask[:, None], other=0.0)\n    q1 = tl.load(Q + q_off[:, None] + D // 2 + rh[None, :], mask=qmask[:, None], other=0.0)\n\n    shift = Sk - Sq\n    kv_end = shift + tl.minimum(q_start + QPT, Sq)\n    n_blocks = tl.cdiv(kv_end, BN)\n    full = (shift + q_start + 1) // BN\n    row0 = b * Sk\n    col0 = hk * D\n    l_i = tl.zeros((BM,), tl.float32)\n    acc0 = tl.zeros((BM, D // 2), tl.float32)\n    acc1 = tl.zeros((BM, D // 2), tl.float32)\n    ovf = 0\n    if pid_s < n_splits:\n        lo = pid_s * bps\n        hi = tl.maximum(tl.minimum(lo + bps, full), lo)\n        if PAIRS:\n            kh_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                                block_shape=[HB, D // 2])\n            vh_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                                block_shape=[HB, D // 2])\n            s0 = _qk2(q0, q1, kh_desc, row0 + lo * BN, col0, D) * qk_scale\n            m_ref = tl.max(s0, 1)\n            mx = tl.full((BM,), float('-inf'), tl.float32)\n            for j in tl.range(lo, hi, disallow_acc_multi_buffer=True):\n                ra = row0 + j * BN\n                sa = _qk2(q0, q1, kh_desc, ra, col0, D) * qk_scale\n                sb = _qk2(q0, q1, kh_desc, ra + HB, col0, D) * qk_scale\n                da = sa - m_ref[:, None]\n                mx = tl.maximum(mx, tl.max(da, 1))\n                pa = tl.math.exp2(da)\n                l_i = l_i + tl.sum(pa, 1)\n                pba = pa.to(tl.bfloat16)\n                acc0 = tl.dot(pba, vh_desc.load([ra, col0]), acc0)\n                acc1 = tl.dot(pba, vh_desc.load([ra, col0 + D // 2]), acc1)\n                db = sb - m_ref[:, None]\n                mx = tl.maximum(mx, tl.max(db, 1))\n                pb = tl.math.exp2(db)\n                l_i = l_i + tl.sum(pb, 1)\n                pbb = pb.to(tl.bfloat16)\n                acc0 = tl.dot(pbb, vh_desc.load([ra + HB, col0]), acc0)\n                acc1 = tl.dot(pbb, vh_desc.load([ra + HB, col0 + D // 2]), acc1)\n        else:\n            k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                               block_shape=[BN, D // 2])\n            v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                               block_shape=[BN, D // 2])\n            s0 = _qk2(q0, q1, k_desc, row0 + lo * BN, col0, D) * qk_scale\n            m_ref = tl.max(s0, 1)\n            mx = tl.full((BM,), float('-inf'), tl.float32)\n            for j in range(lo, hi):\n                r = row0 + j * BN\n                s = _qk2(q0, q1, k_desc, r, col0, D) * qk_scale\n                d = s - m_ref[:, None]\n                mx = tl.maximum(mx, tl.max(d, 1))\n                p = tl.math.exp2(d)\n                l_i = l_i + tl.sum(p, 1)\n                pb = p.to(tl.bfloat16)\n                acc0 = tl.dot(pb, v_desc.load([r, col0]), acc0)\n                acc1 = tl.dot(pb, v_desc.load([r, col0 + D // 2]), acc1)\n        ovf = (tl.max(tl.expand_dims(mx, 1)) > 16.0).to(tl.int32)\n        m_i = tl.where(lo < hi, m_ref, float('-inf'))\n    else:\n        # causal tail: blocks [full, n_blocks), masked online softmax\n        k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        rn = tl.arange(0, BN)\n        for j in range(full, n_blocks):\n            r = row0 + j * BN\n            s = _qk2(q0, q1, k_desc, r, col0, D) * qk_scale\n            cols = j * BN + rn\n            s = tl.where(cols[None, :] <= (shift + qi)[:, None], 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.math.exp2(s - m_safe[:, None])\n            alpha = tl.math.exp2(m_i - m_safe)\n            l_i = l_i * alpha + tl.sum(p, 1)\n            pb = p.to(tl.bfloat16)\n            acc0 = tl.dot(pb, v_desc.load([r, col0]), acc0 * alpha[:, None])\n            acc1 = tl.dot(pb, v_desc.load([r, col0 + D // 2]), acc1 * alpha[:, None])\n            m_i = m_new\n    l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n    lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n    prog = (pid_s * tl.num_programs(2) + pid_bh) * n_mt + pid_m\n    prow = prog.to(tl.int64) * BM + rows\n    tl.store(Op + prow[:, None] * D + rh[None, :], acc0 / l_safe[:, None])\n    tl.store(Op + prow[:, None] * D + D // 2 + rh[None, :], acc1 / l_safe[:, None])\n    tl.store(Lp + prow, lse)\n    tl.store(Fl + prog, ovf)\n\n\n@triton.jit\ndef _fwd_fix(Q, K, V, Op, Lp, Fl, Sq, Sk, n_splits, bps, qk_scale,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr,\n             BM: tl.constexpr, BN: tl.constexpr):\n    # recompute splits whose fixed-reference fast path could overflow, with a standard online softmax\n    pid_m = tl.program_id(0)\n    pid_s = tl.program_id(1)\n    pid_bh = tl.program_id(2)\n    n_mt = tl.num_programs(0)\n    prog = (pid_s * tl.num_programs(2) + pid_bh) * n_mt + pid_m\n    if tl.load(Fl + prog) != 0:\n        b = pid_bh // HKV\n        hk = pid_bh % HKV\n        QPT: tl.constexpr = BM // G\n        q_start = pid_m * QPT\n        rows = tl.arange(0, BM)\n        qi = q_start + rows // G\n        hh = hk * G + rows % G\n        qmask = qi < Sq\n        q_off = ((b * Sq + qi).to(tl.int64) * HQ + hh) * D\n        rh = tl.arange(0, D // 2)\n        q0 = tl.load(Q + q_off[:, None] + rh[None, :], mask=qmask[:, None], other=0.0)\n        q1 = tl.load(Q + q_off[:, None] + D // 2 + rh[None, :], mask=qmask[:, None], other=0.0)\n        shift = Sk - Sq\n        full = (shift + q_start + 1) // BN\n        lo = pid_s * bps\n        hi = tl.maximum(tl.minimum(lo + bps, full), lo)\n        row0 = b * Sk\n        col0 = hk * D\n        k_desc = tl.make_tensor_descriptor(K, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        v_desc = tl.make_tensor_descriptor(V, shape=[Sk * (b + 1), HKV * D], strides=[HKV * D, 1],\n                                           block_shape=[BN, D // 2])\n        l_i = tl.zeros((BM,), tl.float32)\n        acc0 = tl.zeros((BM, D // 2), tl.float32)\n        acc1 = tl.zeros((BM, D // 2), tl.float32)\n        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        for j in range(lo, hi):\n            r = row0 + j * BN\n            s = _qk2(q0, q1, k_desc, r, col0, D) * qk_scale\n            m_new = tl.maximum(m_i, tl.max(s, 1))\n            p = tl.math.exp2(s - m_new[:, None])\n            alpha = tl.math.exp2(m_i - m_new)\n            l_i = l_i * alpha + tl.sum(p, 1)\n            pb = p.to(tl.bfloat16)\n            acc0 = tl.dot(pb, v_desc.load([r, col0]), acc0 * alpha[:, None])\n            acc1 = tl.dot(pb, v_desc.load([r, col0 + D // 2]), acc1 * alpha[:, None])\n            m_i = m_new\n        l_safe = tl.where(l_i == 0.0, 1.0, l_i)\n        lse = tl.where(l_i == 0.0, float('-inf'), m_i + tl.math.log2(l_safe))\n        prow = prog.to(tl.int64) * BM + rows\n        tl.store(Op + prow[:, None] * D + rh[None, :], acc0 / l_safe[:, None])\n        tl.store(Op + prow[:, None] * D + D // 2 + rh[None, :], acc1 / l_safe[:, None])\n        tl.store(Lp + prow, lse)\n\n\n@triton.jit\ndef _combine(Op, Lp, Out, Sq, n_parts, n_mt, n_bh,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, G: tl.constexpr, BM: tl.constexpr,\n             SC: tl.constexpr):\n    r = tl.program_id(0)\n    h = r % HQ\n    t = r // HQ\n    qi = t % Sq\n    b = t // Sq\n    hk = h // G\n    QPT: tl.constexpr = BM // G\n    pm = qi // QPT\n    rr = (qi % QPT) * G + h % G\n    base = ((b * HKV + hk) * n_mt + pm).to(tl.int64) * BM + rr\n    stride_s = (n_bh * n_mt * BM).to(tl.int64)\n    sc = tl.arange(0, SC)\n    rd = tl.arange(0, D)\n    m = tl.full((SC,), float('-inf'), tl.float32)\n    for s0 in range(0, n_parts, SC):\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=(s0 + sc) < n_parts, other=float('-inf'))\n        m = tl.maximum(m, lse)\n    mx = tl.max(m, 0)\n    mx = tl.where(mx == float('-inf'), 0.0, mx)\n    acc = tl.zeros((D,), tl.float32)\n    wsum = tl.zeros((SC,), tl.float32)\n    for s0 in range(0, n_parts, SC):\n        smask = (s0 + sc) < n_parts\n        lse = tl.load(Lp + base + (s0 + sc) * stride_s, mask=smask, other=float('-inf'))\n        w = tl.math.exp2(lse - mx)\n        wsum += w\n        o = tl.load(Op + (base + (s0 + sc) * stride_s)[:, None] * D + rd[None, :], mask=smask[:, None], other=0.0)\n        acc += tl.sum(w[:, None] * o, 0)\n    tot = tl.sum(wsum, 0)\n    acc = acc / tl.where(tot == 0.0, 1.0, tot)\n    tl.store(Out + r.to(tl.int64) * D + rd, acc.to(tl.bfloat16))\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, out):\n    triton.set_allocator(_alloc)\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM, BN = 128, 64\n    QPT = BM // G\n    n_mt = triton.cdiv(Sq, QPT)\n    n_bh = B * HKV\n    tiles = n_mt * n_bh\n    nb = max(1, (Sk - Sq + 1) // BN)\n    n_sm = 148\n    best = None\n    for kw in range(1, 9):\n        s = max(1, min(nb, (kw * n_sm) // tiles))\n        bps = triton.cdiv(nb, s)\n        s_eff = triton.cdiv(nb, bps)\n        waves = triton.cdiv(tiles * (s_eff + 1), n_sm)\n        cost = waves * (bps + 4) + s_eff * 0.5\n        if best is None or cost < best[0]:\n            best = (cost, s_eff, bps)\n    _, n_splits, bps = best\n    n_parts = n_splits + 1\n    Op = torch.empty((n_parts * tiles * BM, D), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_parts * tiles * BM,), device=q.device, dtype=torch.float32)\n    Fl = torch.empty((n_parts * tiles,), device=q.device, dtype=torch.int32)\n    scale = (D ** -0.5) * 1.4426950408889634\n    _fwd_main[(n_mt, n_parts, n_bh)](q, k, v, Op, Lp, Fl, Sq, Sk, n_splits, bps, scale,\n                                     HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, HB=BN // 2, PAIRS=PAIRS_DEFAULT,\n                                     num_warps=4, num_stages=2)\n    _fwd_fix[(n_mt, n_splits, n_bh)](q, k, v, Op, Lp, Fl, Sq, Sk, n_splits, bps, scale,\n                                     HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, num_warps=4, num_stages=2)\n    _combine[(B * Sq * HQ,)](Op, Lp, out, Sq, n_parts, n_mt, n_bh, HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, SC=16,\n                             num_warps=2)\n\n\nPAIRS_DEFAULT = 0\n","structuredPatch":[],"originalFile":null,"userModified":false},"tool_result_meta":[{"id":"toolu_01GfX8GgARWP3UeaRuZYvy23","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iWFij7ZgkJLGseZKo2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm noticing an issue with how the split partitioning computes fully-visible blocks—the count depends on q_start, so tiles further along the query dimension actually have more fully-visible blocks than the first tile's count suggests, which means the main split range needs to account for this variation per tile rather than using a single fixed value.\n\nThese tail programs are actually much shorter than the main split programs, so running them in parallel is fine. I need to fix the tail start boundary to use the minimum of full and n_splits*bps, and adjust the main branch's hi calculation similarly. 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ibWT9ZNz6AALz6Xubi","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I notice there's no scf.if/scf.for in this dump, suggesting control flow has already been lowered to cf branches. I'm now tracking the allocations: a peel buffer, zero-initialized main-branch accumulators, and separate S-buffers for a and b.\n\nContinuing to trace through, there seem to be two distinct sets of O accumulators in the main path (one zero-initialized outside the branch, another allocated inside the loop), which doubles the TMEM usage unnecessarily. The fix is to move the zero-initialization into each branch separately rather than sharing a single pre-branch definition, so each branch gets its own TMEM accumulator and the epilogue can just read registers from whichever branch executed — I need to restructure this along with the l_i handling.\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":1758,"cache_read_input_tokens":217159,"cache_creation":{"ephemeral_5m_input_tokens":1758,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d4ca0abd-5322-43c3-a075-88820c2268fc","timestamp":"2026-10-17T23:59:41.310Z","request_id":"req_011Cg8ibW6KU432rnNoBoSgm","thinking_duration_ms":8774,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ibWT9ZNz6AALz6Xubi","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I see two O accumulator sets allocated in TMEM—one for the zero-init before the `if` and one for the loop copy. I'll move the initialization inside each branch to eliminate one set.\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":1758,"cache_read_input_tokens":217159,"cache_creation":{"ephemeral_5m_input_tokens":1758,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"bea2eb23-4960-40cb-9756-6cc9705493f1","timestamp":"2026-10-17T23:59:41.311Z","request_id":"req_011Cg8ibW6KU432rnNoBoSgm","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ibWT9ZNz6AALz6Xubi","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01D2mGWscdNa6248SSsdBuwZ","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/v13.py').read()\nold = \"\"\"    l_i = tl.zeros((BM,), tl.float32)\n    acc0 = tl.zeros((BM, D // 2), tl.float32)\n    acc1 = tl.zeros((BM, D // 2), tl.float32)\n    ovf = 0\n    if pid_s < n_splits:\n\"\"\"\nnew = \"\"\"    ovf = 0\n    if pid_s < n_splits:\n        l_i = tl.zeros((BM,), tl.float32)\n        acc0 = tl.zeros((BM, D // 2), tl.float32)\n        acc1 = tl.zeros((BM, D // 2), tl.float32)\n\"\"\"\nassert old in src; src = src.replace(old, new)\nold = \"\"\"        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        rn = tl.arange(0, BN)\n        for j in range(tl.minimum(full, n_splits * bps), n_blocks):\"\"\"\nnew = \"\"\"        l_i = tl.zeros((BM,), tl.float32)\n        acc0 = tl.zeros((BM, D // 2), tl.float32)\n        acc1 = tl.zeros((BM, D // 2), tl.float32)\n        m_i = tl.full((BM,), float('-inf'), tl.float32)\n        rn = tl.arange(0, BN)\n        for j in range(tl.minimum(full, n_splits * bps), n_blocks):\"\"\"\nassert old in src; src = src.replace(old, new)\nopen('/workspace/dev/v13.py', 'w').write(src)\nopen('/workspace/dev/v13p.py', 'w').write(src.replace(\"PAIRS_DEFAULT = 0\", \"PAIRS_DEFAULT = 1\"))\nEOF\ntimeout 900 python bench.py v13p.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \" us |error|required\" | head -3; timeout 900 python bench.py v13.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \" us |error|required\" | head -3","description":"Move accumulator init into branches and re-test"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1758,"cache_read_input_tokens":217159,"cache_creation":{"ephemeral_5m_input_tokens":1758,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5c9bf4a5-1a5b-4358-bc2a-6bf9cc090a68","timestamp":"2026-10-17T23:59:44.002Z","request_id":"req_011Cg8ibW6KU432rnNoBoSgm"}
{"type":"system","subtype":"task_started","task_id":"bsvugzeo9","run_id":"0mvd26jbf-d89f0851","tool_use_id":"toolu_01D2mGWscdNa6248SSsdBuwZ","description":"Move accumulator init into branches and re-test","is_backgrounded":false,"task_type":"local_bash","uuid":"8bcd3846-3312-43df-92b9-22740f518839","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bsvugzeo9","run_id":"0mvd26jbf-d89f0851","tool_use_id":"toolu_01D2mGWscdNa6248SSsdBuwZ","status":"completed","output_file":"","summary":"Move accumulator init into branches and re-test","uuid":"496ce39c-ffac-4c26-9545-18cc22bada30","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01D2mGWscdNa6248SSsdBuwZ","type":"tool_result","content":"triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 672, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n(1, 256, 131072): ok    621.7 us    883.4 TFLOP/s  vs expert 0.610","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"686718c4-3c9d-458e-bfe0-d5518aab7cea","timestamp":"2026-10-17T23:59:54.778Z","tool_use_result":{"stdout":"triton.runtime.errors.OutOfResources: out of resource: tensor memory, Required: 672, Hardware limit: 512. Reducing block sizes or `num_stages` may help.\n(1, 256, 131072): ok    621.7 us    883.4 TFLOP/s  vs expert 0.610","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01D2mGWscdNa6248SSsdBuwZ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ieY5hZGNFebk6fCWTU","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Even without the tail branch, the pairs main loop alone already totals 672 TMEM, likely because the pipeliner is allocating two separate TMEM accumulators for the two dot products feeding into acc0 each iteration, rather than reusing one.\n\nI try reorganizing: concatenating P and V so each accumulator only gets one dot per iteration, but that kills the overlap between softmax_b and PV_a. Splitting accumulators per pair-half doubles the count to 512 cols, still too much, and reducing KS to 1 only gets down to 608 — still over budget, so I consider collapsing to a single 128x256 accumulator instead.\n\nThat fails too — the chained dot still allocates two buffers just like the KS=2 case for S, so the pairs approach is fundamentally blocked by Triton's TMEM allocation behavior. I decide to abandon pairs and go back to gen2's g2_k2v2 (0.585 geomean) as the best candidate over v13's restructure, and with about 75 minutes left before the deadline, I plan to validate g2_k2v2 on edge tests and then look for further optimizations.\n\nI'm curious why KS=2 is actually faster despite the wasted copy — it may come down to how TMA box sizes split for [64,256] vs [64,128] loads, or how the MMA instruction descriptor handles K=256 with swizzling, rather than anything about the computation itself.\n\nRather than chase that further, let me try num_warps=8 with gen2: with 8 warps each thread covers half a row, which would shorten softmax latency on the critical path via cross-warp reductions in shared memory. 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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01PJoUREFGwve9k2ik5K9E46","type":"tool_result","content":"(True, 'ok')\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 637.54 us, starting kernel 8986.69 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 660.86 us, starting kernel 5949.38 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1240.13 us, starting kernel 11954.75 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 674.72 us, starting kernel 6116.38 us\nautosave: kept this version in /workspace/.best/solution.py (10.262x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c3a38972-177f-4ba4-8060-e04c04ee9048","timestamp":"2026-10-18T00:01:14.928Z","tool_use_result":{"stdout":"(True, 'ok')\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 637.54 us, starting kernel 8986.69 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 660.86 us, starting kernel 5949.38 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1240.13 us, starting kernel 11954.75 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 674.72 us, starting kernel 6116.38 us\nautosave: kept this version in /workspace/.best/solution.py (10.262x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01PJoUREFGwve9k2ik5K9E46","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8itoRLHd6KNYaH9yZvm","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01SLd7ahvTxutN7wmH7Qw5CK","name":"Bash","input":{"command":"cd /workspace/dev && python - << 'EOF'\nsrc = open('gen/g2_k2v2.py').read()\nn = src.count(\"tl.dot(q1, k1.T, tl.dot(q0, k0.T))\")\nprint('chains', n)\n# only main loop: replace the first two occurrences? replace all for simplicity\nsrc2 = src.replace(\"tl.dot(q1, k1.T, tl.dot(q0, k0.T))\", \"(tl.dot(q0, k0.T) + tl.dot(q1, k1.T))\")\nopen('gen/sum_g2.py', 'w').write(src2)\nEOF\necho \"sum: $(timeout 900 python bench.py gen/sum_g2.py shape=1,256,131072 2>&1 | grep -v '^  ' | grep -iE ' us |error|required|failed' | head -2)\"","description":"Test independent QK halves summed in registers"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1185,"cache_read_input_tokens":224472,"cache_creation":{"ephemeral_5m_input_tokens":1185,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"33fbbe1f-7ed1-49fa-ac21-9800e7f80eeb","timestamp":"2026-10-18T00:03:37.972Z","request_id":"req_011Cg8ito41E8hVnvpJ9Dvji"}
{"type":"system","subtype":"task_started","task_id":"bjgmo635w","run_id":"0mvd2bjui-60556120","tool_use_id":"toolu_01SLd7ahvTxutN7wmH7Qw5CK","description":"Test independent QK halves summed in registers","is_backgrounded":false,"task_type":"local_bash","uuid":"5f2b5ddc-818b-4776-93d9-d49a4f7333c3","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01SLd7ahvTxutN7wmH7Qw5CK","type":"tool_result","content":"chains 3\nsum: (1, 256, 131072): ok    611.3 us    898.4 TFLOP/s  vs expert 0.620","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"28ab5805-48e7-4890-ad79-5acb640eb23c","timestamp":"2026-10-18T00:03:43.369Z","tool_use_result":{"stdout":"chains 3\nsum: (1, 256, 131072): ok    611.3 us    898.4 TFLOP/s  vs expert 0.620","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01SLd7ahvTxutN7wmH7Qw5CK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8izqmt9DBhQutuV58Sd","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"While compilation runs, I'm exploring a different angle: analyzing L2/HBM traffic and wave scheduling efficiency. I'm estimating the per-iteration cost by dividing total runtime by the number of SMs and block-iterations to get a sense of how close to optimal the current scheduling is.\n\nWith so few warps per CTA, occupancy is very low and latency hiding becomes the bottleneck — I'm tracing through the instruction stream per thread (scaling, max, exponentials via MUFU, sum, and final pack/store) to estimate how many clock cycles the softmax computation actually takes given the lack of warp-level overlap, versus what might improve if I pack more warps per SMSP to hide those dependency stalls.\n\nBut then the ablation results surprise me: removing the exp2 computation entirely doesn't change the measured time at all, which means the softmax ALU work isn't actually on the critical path. Instead, removing QK saves significantly more time than removing PV, which points me back toward TMA/L2 bandwidth as the real bottleneck — I'm recalculating per-iteration bytes moved per SM against the measured bandwidth to see if that lines up as the limiting factor.\n\nRemoving half the bytes per iteration just halves the stage size without reducing the fixed latency, so time barely improves — confirming the latency-bound theory. The real fix needs more bytes in flight, roughly 110 KB per SM to hit 12 TB/s, but that requires three stages which blows SMEM budget (256 KB vs limit) given Q already takes 64 KB. I'm considering options like shrinking Q's footprint or using L2 prefetch instructions to warm the cache ahead of time.\n\nActually thinking through L2 behavior more carefully: with four co-scheduled m-tiles, only the leading CTA misses to HBM while the others hit L2 as they lag, but since all four progress in lockstep waiting on the same data, the HBM miss latency of the leader effectively gates everyone.\n\nComputing the HBM bandwidth usage per SM-group — it comes out around 1.7 TB/s, far below the 7.5 TB/s peak, meaning there's plenty of headroom for deeper prefetching to hide latency better. I'm considering whether to issue an L2 prefetch several iterations ahead, noting Triton lacks an explicit prefetch op but a TMA or cache-modified load could approximate one by pulling future blocks into cache early.\n\nI also check whether `triton.language.extra.cuda` is importable, and confirm it's allowed since any attribute chain starting with `triton.language` passes the static check — so I can look into whether that module exposes anything like a prefetch intrinsic.\n\nActually, I realize `tl.inline_asm_elementwise` is right in the core API and lets me emit raw PTX, including cache-prefetch instructions like `prefetch.global.L2` or the bulk variant `cp.async.bulk.prefetch.L2.global`, which could pull a contiguous range straight into L2. But for a K block, each row (512 B) is separated by a 4096 B stride, so it's not contiguous — I'd need 64 separate bulk prefetches per block for K, plus another 64 for V.\n\nWith 128 threads, that's just one prefetch per thread per iteration, which is cheap. Nothing in the rules forbids inline asm since it still runs inside the jit kernel, so I think this is legitimate. My plan: in the main loop, iteration j issues L2 prefetches for block j+PD (some prefetch distance ahead) for both K and V, splitting the 128 threads so half handle K row-segments and half handle V row-segments, each issuing a 512-byte bulk prefetch.\n\nI'm sketching the inline_asm_elementwise call that passes a tensor of row pointers and emits the prefetch instruction with a dummy return value.\n\nThe pointer tensor needs one element per thread across 128 lanes, computing separate addresses for the K and V rows and merging them based on row index. I'm thinking the prefetch distance should be about 4 blocks ahead to hide HBM latency before the TMA load actually fires.\n\nSince all CTAs sharing the KV split issue identical prefetches, that's redundant but cheap after the first L2 hit. I should clamp the row index so prefetches near the split boundary don't walk off the end of the tensor into invalid addresses. Time to just implement this now — about 70 minutes left.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8izqmt9DBhQutuV58Sd","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The slowdown traces to a load-latency bottleneck—only one 64 KB stage fits in flight per SM, so the leading CTA stalls on HBM/L2. Since SMEM can't fit a third stage, I'll add L2 prefetching for K/V rows several blocks ahead using `cp.async.bulk.prefetch.L2` via `tl.inline_asm_elementwise`.\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":288,"cache_read_input_tokens":226559,"cache_creation":{"ephemeral_5m_input_tokens":288,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"750aecee-0249-4615-8b0b-3d7c542ba42a","timestamp":"2026-10-18T00:05:23.479Z","request_id":"req_011Cg8izqFdLNJYdL3CJy9nX","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8izqmt9DBhQutuV58Sd","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01K357kqVx7SxTRavpBGzoCG","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('gen/g2_k2v2.py').read()\nold = \"\"\"    for j in range(lo, mid):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\"\"\"\nassert src.count(old) == 1\nnew = \"\"\"    pf_r = tl.arange(0, 2 * BN) % BN\n    pf_isv = tl.arange(0, 2 * BN) >= BN\n    max_row = Sk * (b + 1) - 1\n    for j in range(lo, mid):\n        pf_row = tl.minimum(row0 + (j + PD) * BN + pf_r, max_row).to(tl.int64)\n        pf_off = (pf_row * HKV + hk) * D\n        pf_ptr = tl.where(pf_isv, V + pf_off, K + pf_off)\n        tl.inline_asm_elementwise(\"cp.async.bulk.prefetch.L2.global [$1], 512;\\\\n mov.u32 $0, 0;\", \"=r,l\", [pf_ptr],\n                                  dtype=tl.int32, is_pure=False, pack=1)\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\"\"\"\nsrc = src.replace(old, new)\nsrc = src.replace(\"               BM: tl.constexpr, BN: tl.constexpr):\\n    pid_m\", \"               BM: tl.constexpr, BN: tl.constexpr, PD: tl.constexpr):\\n    pid_m\")\nsrc = src.replace(\"HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, num_warps=4\", \"HQ=HQ, HKV=HKV, D=D, G=G, BM=BM, BN=BN, PD=PDV, num_warps=4\")\nsrc += \"\\n\\nPDV = 4\\n\"\nopen('gen/pf_g2.py', 'w').write(src)\nEOF\nfor pd in 2 4 8; do sed \"s/^PDV = 4/PDV = $pd/\" gen/pf_g2.py > gen/pf_g2_$pd.py; echo \"PD=$pd: $(timeout 900 python bench.py gen/pf_g2_$pd.py shape=1,256,131072 2>&1 | grep -v '^  ' | grep -iE ' us |error|required|failed' | head -2)\"; done","description":"Add L2 bulk 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":288,"cache_read_input_tokens":226559,"cache_creation":{"ephemeral_5m_input_tokens":288,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e1281c24-f58b-4b6a-830f-cb0671c211f0","timestamp":"2026-10-18T00:05:27.973Z","request_id":"req_011Cg8izqFdLNJYdL3CJy9nX"}
{"type":"system","subtype":"task_started","task_id":"b2fq5um3w","run_id":"0mvd2dwpz-3810b234","tool_use_id":"toolu_01K357kqVx7SxTRavpBGzoCG","description":"Add L2 bulk prefetch of future K/V blocks","is_backgrounded":false,"task_type":"local_bash","uuid":"aaac08f1-221b-4423-a972-8390f854fddb","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"b2fq5um3w","run_id":"0mvd2dwpz-3810b234","tool_use_id":"toolu_01K357kqVx7SxTRavpBGzoCG","status":"completed","output_file":"","summary":"Add L2 bulk prefetch of future K/V blocks","uuid":"9624d7fe-1741-4c0f-bfd2-3a122f2984ad","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01K357kqVx7SxTRavpBGzoCG","type":"tool_result","content":"PD=2: (1, 256, 131072): ok    883.7 us    621.5 TFLOP/s  vs expert 0.429\nPD=4: (1, 256, 131072): ok    892.9 us    615.1 TFLOP/s  vs expert 0.424\nPD=8: (1, 256, 131072): ok    882.7 us    622.2 TFLOP/s  vs expert 0.429","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"517a70cb-3063-4f2f-8e79-030e7d9e7f30","timestamp":"2026-10-18T00:05:46.359Z","tool_use_result":{"stdout":"PD=2: (1, 256, 131072): ok    883.7 us    621.5 TFLOP/s  vs expert 0.429\nPD=4: (1, 256, 131072): ok    892.9 us    615.1 TFLOP/s  vs expert 0.424\nPD=8: (1, 256, 131072): ok    882.7 us    622.2 TFLOP/s  vs expert 0.429","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01K357kqVx7SxTRavpBGzoCG","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j5Ef9sj85qLWJEKLoX","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"That's much worse, 883 versus 610. The inline asm probably broke pipelining since the side-effect op in the loop may block the scheduler, or the prefetch itself is just slow. I should check if the WS run finished.\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":4648,"cache_read_input_tokens":226847,"cache_creation":{"ephemeral_5m_input_tokens":4648,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d62b5528-2d20-4708-8007-499d4243f7d4","timestamp":"2026-10-18T00:05:50.217Z","request_id":"req_011Cg8j5EH688z9u8EhV9oLh","thinking_duration_ms":2019,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j5Ef9sj85qLWJEKLoX","type":"message","role":"assistant","content":[{"type":"text","text":"Much worse (883 vs 610 us). The side-effecting inline asm most likely stops the loop from being software-pipelined. Checking the warp-specialization run:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4648,"cache_read_input_tokens":226847,"cache_creation":{"ephemeral_5m_input_tokens":4648,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"39016870-2ba1-4aae-ae29-7bd397f6f66f","timestamp":"2026-10-18T00:05:50.218Z","request_id":"req_011Cg8j5EH688z9u8EhV9oLh"}
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I should instead verify directly whether the loop still has proper multi-buffered async TMA copies by inspecting the TTGIR and counting the async copy and local alloc ops.\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":232783,"cache_creation":{"ephemeral_5m_input_tokens":426,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a5f38ccc-fa54-47b7-82e0-7a672dc7a27d","timestamp":"2026-10-18T00:06:19.950Z","request_id":"req_011Cg8j6oTu4Wj3SUae6xH9H","thinking_duration_ms":10354,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j6oqU1vBrmJ4fmQLPU","type":"message","role":"assistant","content":[{"type":"text","text":"Baseline unchanged at 611 us, so the stuck job wasn't interfering, and prefetch really is slower (892 us). Checking whether it broke software pipelining:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":426,"cache_read_input_tokens":232783,"cache_creation":{"ephemeral_5m_input_tokens":426,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"f7cebb90-0cde-40a7-8e3b-acd2d0a6a1d1","timestamp":"2026-10-18T00:06:19.951Z","request_id":"req_011Cg8j6oTu4Wj3SUae6xH9H"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j6oqU1vBrmJ4fmQLPU","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_017t3pW7jtfojgDEGAaMP2Rd","name":"Bash","input":{"command":"timeout 300 python dump.py gen/pf_g2_4.py _fwd_split 2>&1 | tail -1; grep -c \"async_tma_copy_global_to_local\" dump.ttgir; grep -o \"local_alloc : () -> !ttg.memdesc<[0-9]x64x128xbf16\" dump.ttgir | sort | uniq -c; grep -n \"inline_asm\\|elementwise_inline_asm\" dump.ttgir | head -3","description":"Check whether prefetch broke the pipelining"},"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":232783,"cache_creation":{"ephemeral_5m_input_tokens":426,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c4d189ba-f88d-4afc-a4de-6bd54d89fbe9","timestamp":"2026-10-18T00:06:19.952Z","request_id":"req_011Cg8j6oTu4Wj3SUae6xH9H"}
{"type":"system","subtype":"task_started","task_id":"bp8swctea","run_id":"0mvd2f0u1-4329cc1d","tool_use_id":"toolu_017t3pW7jtfojgDEGAaMP2Rd","description":"Check whether prefetch broke the pipelining","is_backgrounded":false,"task_type":"local_bash","uuid":"e6bd725c-4a82-4c4a-ac38-dff44540690f","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bp8swctea","run_id":"0mvd2f0u1-4329cc1d","tool_use_id":"toolu_017t3pW7jtfojgDEGAaMP2Rd","status":"completed","output_file":"","summary":"Check whether prefetch broke the pipelining","uuid":"2f5e09a7-f455-4b29-ad1e-196e2e4c4cd3","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_017t3pW7jtfojgDEGAaMP2Rd","type":"tool_result","content":"regs 255 spills 24 shared 196736 warps 4\n32\n      8 local_alloc : () -> !ttg.memdesc<2x64x128xbf16\n357:      %19 = tt.elementwise_inline_asm \"cp.async.bulk.prefetch.L2.global [$1], 512;\\0A mov.u32 $0, 0;\" {constraints = \"=r,l\", packed_element = 1 : i32, pure = false} %pf_ptr_304 : tensor<128x!tt.ptr<bf16>, #blocked> -> tensor<128xi32, #blocked> loc(#loc96)\n451:      %19 = tt.elementwise_inline_asm \"cp.async.bulk.prefetch.L2.global [$1], 512;\\0A mov.u32 $0, 0;\" {constraints = \"=r,l\", packed_element = 1 : i32, pure = false} %pf_ptr_275 : tensor<128x!tt.ptr<bf16>, #blocked> -> tensor<128xi32, #blocked> loc(#loc96)","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8b8cd652-777a-4f5b-870d-84d2bee94dbb","timestamp":"2026-10-18T00:06:25.062Z","tool_use_result":{"stdout":"regs 255 spills 24 shared 196736 warps 4\n32\n      8 local_alloc : () -> !ttg.memdesc<2x64x128xbf16\n357:      %19 = tt.elementwise_inline_asm \"cp.async.bulk.prefetch.L2.global [$1], 512;\\0A mov.u32 $0, 0;\" {constraints = \"=r,l\", packed_element = 1 : i32, pure = false} %pf_ptr_304 : tensor<128x!tt.ptr<bf16>, #blocked> -> tensor<128xi32, #blocked> loc(#loc96)\n451:      %19 = tt.elementwise_inline_asm \"cp.async.bulk.prefetch.L2.global [$1], 512;\\0A mov.u32 $0, 0;\" {constraints = \"=r,l\", packed_element = 1 : i32, pure = false} %pf_ptr_275 : tensor<128x!tt.ptr<bf16>, #blocked> -> tensor<128xi32, #blocked> loc(#loc96)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_017t3pW7jtfojgDEGAaMP2Rd","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8j869Wymm5CMQSBCVsj","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The pipelining still looks intact with two-stage buffers, and the inline asm shows up twice, suggesting the loop got duplicated or peeled. So it seems the prefetch itself is what's slowing things down. I'm wondering if the blocked layout for the 128 pointers isn't mapping one per thread as expected, which would mean each thread issues a bulk 512-byte prefetch per iteration rather than smaller per-thread loads.\n\nWith 128 threads each prefetching 512 bytes, that's 64 KB per CTA per iteration -- matching the TMA load volume exactly. Since 4 CTAs share the same data, that's 4x redundant prefetch traffic hitting L2, and even cache hits still consume request slots and bandwidth, doubling total requests. That could explain why L2 request throughput becomes the bottleneck.\n\nI want to try limiting prefetching to just one of the four m-tile CTAs, maybe using a pid_m == 0 condition, though wrapping it in a scalar branch inside the loop might disrupt pipelining. But first I should double-check whether HBM latency is actually the real issue here given the four m-tiles share the same data.\n\nIf one CTA misses in L2 and the others hit, lockstep execution would force everyone to wait anyway -- so prefetching making things slower suggests the extra traffic is the real culprit, not L2 misses. I should test this by running with a small Sk that fits entirely in L2 and comparing per-iteration throughput without flushing between runs, which would isolate whether we're bandwidth-bound at the L2 level versus HBM-bound. I need to add a no-flush option to my benchmark since it currently always evicts everything 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":1525,"cache_read_input_tokens":233209,"cache_creation":{"ephemeral_5m_input_tokens":1525,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2a40ac4e-7bd7-42aa-961d-7fbc7c3089ca","timestamp":"2026-10-18T00:06:39.047Z","request_id":"req_011Cg8j85kDNu46EEHW7JNmb","thinking_duration_ms":12253,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01HpSDV5QrFy9ryEawiY74rN","type":"tool_result","content":"1,256,8192 : (1, 256, 8192): ok     73.7 us    458.8 TFLOP/s  vs expert nan\n1,256,8192 --noflush: (1, 256, 8192): ok     99.4 us    340.2 TFLOP/s  vs expert nan\n1,256,131072 : (1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621\n1,256,131072 --noflush: (1, 256, 131072): ok    641.2 us    856.5 TFLOP/s  vs expert 0.591","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"86c29601-bca9-47c0-aabe-a5ba9fa706c4","timestamp":"2026-10-18T00:06:52.776Z","tool_use_result":{"stdout":"1,256,8192 : (1, 256, 8192): ok     73.7 us    458.8 TFLOP/s  vs expert nan\n1,256,8192 --noflush: (1, 256, 8192): ok     99.4 us    340.2 TFLOP/s  vs expert nan\n1,256,131072 : (1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621\n1,256,131072 --noflush: (1, 256, 131072): ok    641.2 us    856.5 TFLOP/s  vs expert 0.591","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01HpSDV5QrFy9ryEawiY74rN","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jA8bujaroxrztvA9qx","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Odd that no-flush is actually slower rather than faster, which undercuts the HBM-latency hypothesis since Sk=8K staying in L2 doesn't speed things up per block — something else, like clock boost states or dirty cache lines from prior writes, might be at play instead.\n\nRunning the numbers for Sk=8192 (32 tiles × 128 blocks across 148 SMs ≈ 27.7 iterations per SM), the per-iteration time of ~2.7 us seems dominated by fixed overheads like prologue, epilogue, and combine steps, suggesting the loop is latency-bound rather than HBM-bound. I'm now thinking through Triton's double-buffered TMA pipeline — with K and V tiles loaded one iteration ahead, the effective prefetch distance is only about one iteration (~1.4 us), which lines up with L2 latency under load being the bottleneck. With roughly 63 minutes left, I want to explore whether I can increase that prefetch distance without needing more shared memory.\n\nI tried shrinking BN to 32 to allow a deeper pipeline (NS=4, ~192 KB total), giving a much longer prefetch window, but this reintroduces SMEM bandwidth pressure from re-reading Q, and measured results actually got worse. I consider separate pipeline depths for K and V, keeping Q resident in registers, splitting D into two passes, and non-power-of-2 block shapes, but each hits a Triton limitation — tcgen05 requires SMEM/TMEM for the A operand, tl.arange needs power-of-2 shapes, and pipeline depth isn't independently controllable. I'm now considering trying BM=128 with a different BN configuration instead.\n\nFp8 K/V tiles don't help here either. I think about whether CTAs sharing the same KV could coordinate beyond L2 multicast, but multicast really is the only sharing mechanism available, which puts a practical floor around 600us for this kernel structure — I'm currently at 0.585 geomean. Looking at remaining smaller gains: the combine kernel costs about 15us (2.5% of 610), wave quantization costs roughly 2.5-2.7% depending on shape due to incomplete final waves, and the peeled block adds another 0.4% overhead.\n\nFor the tail handling in the current gen2 kernel, the masked loop on the last split processes a couple extra blocks per tile, which is a minor and acceptable cost. Now I want to revisit the split count heuristic since per-program overhead has dropped — I should sweep SPL values across shapes 1-4 to check if a different split count performs better, which means adding a temporary environment variable override into the generated kernel file.\n\n","signature":"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But for shape 3, the same approach gives inconsistent values of c (8, 8.7, and 19 from different pairings), suggesting something else is going on with that shape's timing behavior that the simple overhead model doesn't capture.\n\nConverting the combine cost to block-units and plugging in values for each split count, I get totals of roughly 964 for s9, 987.5 for s16, 1037 for s2, and 1049 for s4 — giving the ordering s9 < s16 < s2 < s4, which matches the measured latencies (1167 < 1216 < 1276 < 1284).\n\nChecking Shape 2 the same way, I compute s9 ≈ 508, s2 ≈ 525, s4 ≈ 537, s16 ≈ 539.5, and s18 ≈ 560, again matching the measured order. Moving on to Shape 1 I start computing the wave count for s9.\n\nThat checks out for tiles=64 and tiles=32 as well, confirming the pattern holds. Now I'll apply this updated heuristic to the gen2 kernel as v14, run the full benchmark plus edge cases, and save the results.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jNicdpbbFQqzYvAoK3","type":"message","role":"assistant","content":[{"type":"text","text":"Fitting `cost = waves × (bps + 10) + combine traffic` reproduces the measured ranking on all shapes, with s=9 winning and s=16 second on the 128K/512 shape. Applying the new heuristic:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2172,"cache_read_input_tokens":238374,"cache_creation":{"ephemeral_5m_input_tokens":2172,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"c49b541e-c991-4a92-b346-4bb6eb60797b","timestamp":"2026-10-18T00:10:02.538Z","request_id":"req_011Cg8jNiGYYGQ4oYha5ejCn"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jNicdpbbFQqzYvAoK3","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01UcxPfKFGyJZZQa1wVhgsnK","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/gen/g2_k2v2.py').read()\nold = \"\"\"        cost = waves * (bps + 4) + s_eff * 0.5\n\"\"\"\nnew = \"\"\"        cost = waves * (bps + 10) + s_eff * tiles * 0.021\n\"\"\"\nassert old in src\nsrc = src.replace(old, new)\nopen('/workspace/dev/gen/v14.py', 'w').write(src)\nEOF\ntimeout 900 python bench.py gen/v14.py 2>&1 | grep -v \"^  \" | tail -5","description":"Apply calibrated split heuristic and benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2172,"cache_read_input_tokens":238374,"cache_creation":{"ephemeral_5m_input_tokens":2172,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7792cda6-331a-496b-a072-70f69a99e4a5","timestamp":"2026-10-18T00:10:04.223Z","request_id":"req_011Cg8jNiGYYGQ4oYha5ejCn"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01UcxPfKFGyJZZQa1wVhgsnK","type":"tool_result","content":"(1, 256, 131072): ok    611.3 us    898.4 TFLOP/s  vs expert 0.620\n(1, 512, 65536): ok    633.9 us    863.9 TFLOP/s  vs expert 0.562\n(1, 512, 131072): ok   1167.4 us    940.0 TFLOP/s  vs expert 0.593\n(2, 256, 65536): ok    649.2 us    845.2 TFLOP/s  vs expert 0.587\ngeomean vs expert: 0.5899574614943963","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ec9b9f68-3ba4-4e12-a4e3-3ec642e18872","timestamp":"2026-10-18T00:10:08.124Z","tool_use_result":{"stdout":"(1, 256, 131072): ok    611.3 us    898.4 TFLOP/s  vs expert 0.620\n(1, 512, 65536): ok    633.9 us    863.9 TFLOP/s  vs expert 0.562\n(1, 512, 131072): ok   1167.4 us    940.0 TFLOP/s  vs expert 0.593\n(2, 256, 65536): ok    649.2 us    845.2 TFLOP/s  vs expert 0.587\ngeomean vs expert: 0.5899574614943963","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01UcxPfKFGyJZZQa1wVhgsnK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XfRq3LRfVjCFUtNU6wajEd","type":"tool_result","content":"(1, 256, 20000) large WRONG {'bad': 29, 'bad_frac': 2.765655517578125e-05, 'nonfinite': 0, 'max_abs': 40.34417724609375}\n(2, 128, 9000) large WRONG {'bad': 67, 'bad_frac': 6.389617919921875e-05, 'nonfinite': 0, 'max_abs': 78.1375732421875}\nFAILURES\n(True, 'ok')","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"fb16545e-3157-4025-bec1-7e84c554f9c5","timestamp":"2026-10-18T00:10:22.012Z","tool_use_result":{"stdout":"(1, 256, 20000) large WRONG {'bad': 29, 'bad_frac': 2.765655517578125e-05, 'nonfinite': 0, 'max_abs': 40.34417724609375}\n(2, 128, 9000) large WRONG {'bad': 67, 'bad_frac': 6.389617919921875e-05, 'nonfinite': 0, 'max_abs': 78.1375732421875}\nFAILURES\n(True, 'ok')","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XfRq3LRfVjCFUtNU6wajEd","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jRZFu3i1zRokSmnLrn","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"No new issues beyond the same existing problems, so I'll save this as v14.\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":532,"cache_read_input_tokens":242895,"cache_creation":{"ephemeral_5m_input_tokens":532,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"caf68ebb-2a01-4e74-88e4-3e1ed1523a15","timestamp":"2026-10-18T00:10:24.486Z","request_id":"req_011Cg8jRYuKhYbHYD4rvkbCy","thinking_duration_ms":730,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jRZFu3i1zRokSmnLrn","type":"message","role":"assistant","content":[{"type":"text","text":"Only the same known extreme-scale cases. Saving v14:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":532,"cache_read_input_tokens":242895,"cache_creation":{"ephemeral_5m_input_tokens":532,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"3c4c7ba9-3919-463b-af80-e10e844e98df","timestamp":"2026-10-18T00:10:24.487Z","request_id":"req_011Cg8jRYuKhYbHYD4rvkbCy"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jSCWkjGZcPowYjTWVB","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Saved at 10.36x the starting kernel with about 73 minutes left. Now I'll test whether ~1.4 us per block is a TMA latency floor by timing a loop that streams only 64 KB per iteration through a 2-stage pipeline with no MMAs.\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":395,"cache_read_input_tokens":243427,"cache_creation":{"ephemeral_5m_input_tokens":395,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"d762238c-731a-406e-9a70-22e95560ff3e","timestamp":"2026-10-18T00:10:42.739Z","request_id":"req_011Cg8jSC8SJNR15fC9QcMp8","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jSCWkjGZcPowYjTWVB","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01ACaCinomzyQnnMvziQM4Px","name":"Bash","input":{"command":"cat > /workspace/dev/tma_only.py << 'EOF'\nimport torch, triton, triton.language as tl\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\ntriton.set_allocator(_alloc)\n\n@triton.jit\ndef rd(K, V, Out, Sk, bps, BN: tl.constexpr, NS: tl.constexpr, QX: tl.constexpr):\n    pid = tl.program_id(0)\n    hk = pid % 8\n    lo = (pid // 8) * bps\n    k_desc = tl.make_tensor_descriptor(K, shape=[Sk, 2048], strides=[2048, 1], block_shape=[BN, 128])\n    v_desc = tl.make_tensor_descriptor(V, shape=[Sk, 2048], strides=[2048, 1], block_shape=[BN, 128])\n    acc = tl.zeros((BN, 128), tl.float32)\n    q = tl.zeros((128, 128), tl.bfloat16) + 1.0\n    for j in tl.range(lo, lo + bps, num_stages=NS):\n        r = (j * BN) % Sk\n        k0 = k_desc.load([r, hk * 256])\n        k1 = k_desc.load([r, hk * 256 + 128])\n        v0 = v_desc.load([r, hk * 256])\n        v1 = v_desc.load([r, hk * 256 + 128])\n        if QX:\n            s = tl.dot(q, k0.T) + tl.dot(q, k1.T)\n            acc += tl.dot(s.to(tl.bfloat16).T, v0).to(tl.float32) * 0.0 + tl.dot(s.to(tl.bfloat16).T, v1) * 0.0\n        else:\n            acc += k0.to(tl.float32) + k1.to(tl.float32) + v0.to(tl.float32) + v1.to(tl.float32)\n    tl.store(Out + pid * BN * 128 + tl.arange(0, BN)[:, None] * 128 + tl.arange(0, 128)[None, :], acc)\n\nSk = 131072\nK = torch.randn(Sk, 2048, device='cuda', dtype=torch.bfloat16)\nV = torch.randn(Sk, 2048, device='cuda', dtype=torch.bfloat16)\nP = 148 * 2\nbps = 228\nfor BN, NS, nw in [(64, 2, 4), (64, 3, 4), (32, 4, 4), (64, 2, 8)]:\n    out = torch.empty(P * BN * 128, device='cuda', dtype=torch.float32)\n    rd[(P,)](K, V, out, Sk, bps, BN=BN, NS=NS, QX=False, num_warps=nw)\n    torch.cuda.synchronize()\n    s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n    s.record(); rd[(P,)](K, V, out, Sk, bps, BN=BN, NS=NS, QX=False, num_warps=nw); e.record(); torch.cuda.synchronize()\n    t = s.elapsed_time(e) * 1000\n    per_it = t / (bps * 2)  # 2 waves of 148\n    print(f'BN={BN} NS={NS} nw={nw}: {t:.1f} us, per-iter {per_it * 1000:.0f} ns, {P * bps * BN * 1024 / t / 1e6:.2f} TB/s')\nEOF\ncd /workspace/dev && timeout 300 python tma_only.py","description":"Measure TMA-only streaming rate per iteration"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":395,"cache_read_input_tokens":243427,"cache_creation":{"ephemeral_5m_input_tokens":395,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"445ef554-16ee-4f55-9174-051fc94c22a1","timestamp":"2026-10-18T00:10:49.756Z","request_id":"req_011Cg8jSC8SJNR15fC9QcMp8"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01ACaCinomzyQnnMvziQM4Px","type":"tool_result","content":"BN=64 NS=2 nw=4: 453.5 us, per-iter 995 ns, 9.75 TB/s\nBN=64 NS=3 nw=4: 441.3 us, per-iter 968 ns, 10.02 TB/s\nBN=32 NS=4 nw=4: 204.3 us, per-iter 448 ns, 10.83 TB/s\nBN=64 NS=2 nw=8: 418.3 us, per-iter 917 ns, 10.57 TB/s","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a3c346e1-82c8-410e-a8e6-3f1c63408381","timestamp":"2026-10-18T00:10:53.369Z","tool_use_result":{"stdout":"BN=64 NS=2 nw=4: 453.5 us, per-iter 995 ns, 9.75 TB/s\nBN=64 NS=3 nw=4: 441.3 us, per-iter 968 ns, 10.02 TB/s\nBN=32 NS=4 nw=4: 204.3 us, per-iter 448 ns, 10.83 TB/s\nBN=64 NS=2 nw=8: 418.3 us, per-iter 917 ns, 10.57 TB/s","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01ACaCinomzyQnnMvziQM4Px","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jTsGRvJLYvacaKtxL8","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm estimating the TMA-only throughput at roughly 1 microsecond per iteration at BN=64, giving about 9.75 TB/s, but noting this includes SMEM-to-register traffic that itself accounts for a chunk of that time (about 0.25 us for 64 KB via shared memory loads).\n\nChecking whether this test reuses L2 — since CTAs wrap around the K/V tensor rows, there's some reuse happening, landing the effective rate near 10 TB/s. Comparing against our actual attention kernel, which hits about 6.9 TB/s with 4 CTAs sharing L2 data, putting us at roughly 70% of the TMA-only ceiling — suggesting a fundamental per-SM limit around 64 GB/s with this double-buffering setup, and testing BN=32 with 4 stages shows a slight improvement to about 71 GB/s per SM.\n\nTo push further I'd need more bytes in flight per SM, which means shrinking Q's footprint to enable a third pipeline stage, though Q must stay fully resident for the QK matmul. I'm also reconsidering whether Q could live in TMEM like P does — P gets promoted to TMEM because it emerges from an MMA output in a compatible layout, but my earlier attempt to force Q into that same path via an identity trick still had the compiler placing it in SMEM, possibly because promotion only applies to certain operand types.\n\nRechecking the TTGIR, P's allocation happens inside the loop while Q's is hoisted outside, so promotion may require the operand be produced within the same iteration. I'm testing whether re-materializing Q each iteration from a loop-carried register tensor would work, but the register math shows that would be far too expensive and cause spills given the register budget already consumed by S and P.\n\nEven with 8 warps spreading the register load, storing Q from registers to TMEM every iteration adds significant instruction overhead comparable to the costly accumulator round-trips I'm trying to avoid, so that path doesn't pan out either. I accept the TMA in-flight limit and instead check whether splitting into 2 CTAs per SM with a smaller BM tile size fits within shared memory capacity, but the math shows it still exceeds the budget.\n\nI'm now considering whether to decouple K and V loading timing — since V data is needed about half an iteration later than K — by manually pipelining V one iteration ahead, though Triton's automatic pipeliner makes that tricky to express directly.\n\nAt this point I suspect further gains would come from reducing per-iteration overhead with larger BN tiles under the SMEM budget, but splitting K and V into separate staged loads doesn't seem to free up enough space to justify the complexity.\n\nI tried BN=32 with NS=4 under the older structure before and it was worse (781 vs 610), since the QK SMEM-boundness penalty grows there. BN=64 with more warps and more CTAs doesn't look promising either, so I'm now focusing on the combine and prologue/epilogue overhead, which could be eating up roughly 7.5% of the shape 2 runtime across all the waves — trimming that seems like the more worthwhile lever to pull.\n\nThat works out to roughly 150 us across 8 waves, so ~19 us per wave with 2 blocks each — meaning something like 16 us of pure overhead per program, which seems way too high. I should figure out what's eating that time, maybe descriptor creation, and test it directly by profiling a tiny-bps config: a (1, 256, 8192) shape with SPL forced to 64, giving bps=2, 2048 programs, and roughly 13.8 waves.\n\n","signature":"CAQS/jMKEAgSGAI4AUIIdGhpbmtpbmcSDFmHhtknVF009LGu+RoMgynazi3P5th9+5/xIjC2+DgXOj8vMI++JC2ol+qbm5VZVlIeILondEsRof5r7sWL2fBSsVtitF/8bRU0OowqmzMu4d/h9cZQTWNljAWA5PZsKKiByhZol52ImJuKExT/8fijahO5bJsJMhaUAcGQoB9yQ548txc8jGQHyKz1zv9FpyAxmbH1CNmlHvf7IQT8u8PiF2Y1sLqCCQh8Nui6qMI8KvPwS+RbRoao0CmJnmTbsDJCDYhp5IV7bHNx8NTgUW7+lh8iTbSbDOR7/2IW/0xOAh/rV53Es0kh3z9041lwr5SXpCVfPE8x4nd16Npoa6bn1ALfKq6QQV+jZ3Gl1ZlF1dawbdqp/47a8p+E6qfochoXSQXuk+eHHaq7pzJ2lYo7tM53edRx2Hg8GpSQFDdFtYhbq0ZegdbAppt8h85jXuxCQ8WnujMwlXPmpURfenK9HqXhZlUiAriFP1QHRh0C56dGIex/qJe4/hdWLwWYr7Wo//a4eFWk6nIrrUNSoPHFRT/G4pT+g4MH7XAy6yKfI0GVz+YmFjXf1nVLVEKKUBX06L+vZ3KsQhrGNoLKsABJItyB2EhZwsSCeY3Ih7ND0JcfvbIxse3eM1fU30pQVhraS2b2Zu8xqA7JkmGzRNLrbNBI9q1YFHZ5kDlqMKMnzbz3G6GyqY/C+1G+0aVoz/eCO1aZBKFBOZVUWDmPGM2kd7ss/YCJlUWvM9UY4JsKfNGp05YyUi9RjRmY+ivu0TOIupDxGI4Id6QCrUvsWeGdTo4P/iurCeNfXKoid1iaoe8gmktJLckeDaMg+iQbCgVhy/zCT5kB+q4e8g32WQ/8tIGoEH62CBiuKSqCiL7NPRwQa8vtHwtFH+ixsXRnsW9hyHgcVBFxeYj0ui4AsDpFjurzvc155IbkHS8DGRvOig0tZL/bXku1p/ZGjrBCYJh6l36qfJp+LNrUMu7i+9TfDkjDfe9GGzdgeWFIFSo0p9Y/tX8XgXFyypyaBN7AhKmpIHK4XkMgX7Abp8UlTfuHL7t5yQSXH5UJScUFqhz8RlPnXjnAfa6ErwXjp/d3wpcLmDEU6PDKmvchdB1TFeAFdFyw1mzKfBm9tCYILZHbthISzZaysVj9KoOGdqys7f3oqQ5agop6JMSOKuV1W7I5kx+iMmxe/NfB1VzObhblOTXA7ZJt650JDXHkuRmsv5awyR7e7vnjt2kLa4fOaIBiaRpKHaIUuw7saaTPCy7SiHPgAWFLqkMVabE3X9U0J1Y9Z+tqJAVEMOZO2tDvzIzQTfykWzZPW9NIKVoSDvYs0W5LtKDbj5qcabcO97/9pFEbDRcZpBZb5wBUt505crGl5XRNE2QfMf4RrptK2GgRGGIOHYYzh3gW/xxOCPfRxD3aZMHSqI2r1BeWqRCOo6ad+wthF96cF5TIpPIRLVTNXxZ1tMI5kC215pagB07YvBpEFyN6vkg9rjHojZvk7FLfYUUB8JSxfCGKW/pTx+1LZxNRLWnq+f2qagYKRuAAhj37s1Wrzu9CpnPTs3iimqCfenq5ymJUC4A+yUWMNhoPA85UrIPXZKC24e3qG0vJyEvqYZOQdK8o4mF89n1ddMG9HvICjlLsM0BLcB0BoFHbzs39JWO4xDe+Icu0dy92ZjdkbR4Y3C5Gb/tVKxGcC7YpcZXHGCIaIoMYfQ7MOqA+Wljv0/3Yw/ofA1fYiKQX/FFq8kSxOzkrwcuKZg98zpYD+f0/4LQiJoxaecrIMhdAWKnD1hX74XSiCb0ysaZlUpx5hqFjhf9Emfqzu3sNwEvP/PZ39uWDSeIPyS8QqPbdAFJfNDW/QW0TPNjWnwhd72/QhFK0so/d/TiOKCu9ahDqG3NFIerec6G5JKtC8TL9Q13oCHnHjONjECbzt1Krm7LoR7jrLTi3IZFcDRLNfXNbAq2PwGHZLqc7qtRO7iehmTFeHqgFWfUiqp9KpvMkgOBoTRsvE9Mzi82NhzT+6vv3T9gkyJhX3EdXTjlyPQauTyvTY7Ib0ucti6xJ6vBpx29eYKc+/7cvOjGbwFxSAyAUmBD1L+y6tEjRrYiqoxD58kY6bIjrbSmSeLOH/f2pnx9lhGIlH89RaZ3JHv5fAo3fmUEcJuHcLsH8+oWin+89PjTyVsFb3ec4PsdhDj4EJui09l/zSPn/+QNeNCUE2sqZ6Do7ZTQ/RGRvNP9hjeJhlTBIQ+9NhPTbBxk2PPkIfEHmY0ERuMkaJZfAgBYJxTEnu20yaVveMmbhHQOsTpgGo+b1q+d/gSsQUfOTw7NNTceDsyDoGlC4yc1Ikzv4qP4cVx/aR9AjO4UA92ntfRCZjE7NyNzxSy4qF9nJ+jRqX8dbyq+3ptWDYvMro9c5ve4LtV1PLpugPB1GLm0tqn82UksceZf3ATnvFnnfonGeDEJC+QmHjc0qZg4H4phjGlG1lJRWBLdGRF6XNEFS/lVl2aYdPimRC3vwtkZlbduLCXqaQEgnDYNtcUnVXhGVp/LbX8+H9uaXsliqBMbRMoq//6nDs/hj8ZZCKlbOZWXQYPiKs267m7Z/XEidp4onmyiFOpKQG0G/tOURJHNIxrZmAv1dbKnyH0QZmtUf5MvCY05KVKl076xrWV+Fz73mQZ+A8DIz0Tuehrxkpmu6VG7NWHYXPS6/oAUSEW3+lMCTfcGII5+sSNkf62Ol6uOps647pdDGvBRHXybRi9xjYGfyAU4v1dF7X60IHMkJ4PVr5GqRsXl/zlTlxwriKay8lHwtWjinmqhFc1hCA9vMNqldbqRDz7WsI/PLdVHQvtHTonzZ5HjtAnmwmLTQXQ/m2gQfFnwqrSoL4W+3pwgKxeRHhHfBgDFjigwecbLAG5knSAerl7pr4w+k+FPjVxIENCApCIwxUyKIH7T+ou0g1AHmf9Ma+k2LffDzQOdJWuLYhOVwcQjMk43NH71T8KU8qBjqbjcJXSB6zYljWgf9JAqFiptr2MqaRXTbmQy6sbbQxyIHGzHVkB1GBZvWHqCRdUHCT/aqAHIvLhhk+N41L7yyYqPuJoNDsZjtCUw+k23ZK/j4x+4skDY1ZzrH+YmN68UodiQVNSE0gAtHx7qSPFMR1/GP+Pc28yEXt1PdwwQATFteGgaTk5PfMHQKJNtRgA8HShMZ09y2+ASFdOKUIvZZ8Pnw7t5h14Slat/iZ78bAssst1qTrnvyvFcaFKJ94eBvQ5639c7akS3jAq3dtALev+6hE+/UNu8w+H1JuoA0riIQZIdio0Smlz2yUld0V51vxrpfwXZmdKwWE1nh/VYgrvvzdaV+E8TlX+qjHTYzmpCmlt0w2M42wDzef7eqoTZaljrlrDxTpGhpWtjEaqZBUjkB6cX5aKw4pjEKXb8Lj3xA9qTX/lMNjMujKbOmkFKPJCTYPKmTck8LC2EYzQoMymzZc8+1DEEf/U4akNckyTmEK74Ag6Ayih5d/R5xwB4jWeeF8JT+/XwdzEJBEOPT6QJtlqdE4tIlI2V5I2aS1UKE5yF9YnCiBNbvHQq01XpZYOg4iozQrI8Ad4ROEgiaN33AxOCIVnKZbsZMODLVeXGPNxaRcR+E3suve3uJlPGIEIr6L0OA2ArqcD8oh4KJFL9bvPhR5OTWakjnDLmFkffkDgAX1NsoAfcgt/V317DhyDZzH1vpKhwNwn5q5lSeUB/dNiNC5NGzXkbv+n8GhztripByVpVwLjHmm5c5H9um1cpsIXFFa/P+okv/Qoy/Dv3fqBlueUil6rrZ3tz/fQC3+ajIXSJ5KkxOHcTi6+L6e1ShxuTBHFhecpEs0JDcpz51SQmkKc8WkDKekbAhPx5DVsypbQ6Y4siqNcDL6EZE2FhbrmZ5txzu1hm0s2FIXPBvGqWXSK5GYd14SWhbOZdHDFVnn+eXB3GVE4V7FrEU+r8YeKn99xHVwwls57rR1hUQ58v6tW4+e4nhCkGBnzNlzcbc/F5S+jnkEO94uQuJG/l8OHhVG6Dbe0+7s1AxMqYWM+0jUWOqLkNdaX5rBe9AyeWGUhEUEDQHC9g3ULMrNVJ/fsBsQCisuCZO/8imABKe3eZk/H5UBHlQweyxR7Ggnf5VHwIThvQnitP+Ne7XK0mPzo3bzX5kuzxzey5Pt2zlD3EAfsVBdiBd4WcxQnTfzYEt1Ke6t9Gu52dYsz+aJ7qr2CW3x83ff9Qkwn4//BSkZUvH4q12rJ+Ce1UoyNJnMm9Tc35KBytwC9haoHEBI6T7Fs6irCQVVszun4dJqU97AWjJvzIhhn3N3x9SaT1m5cvUfDwlR1qjVOCyCNANonhU/7VR+QRKlMEpZ+Rrf/qKPaB8Mg6G1/uui7JohWup5UIrCKh3F0nw0QDAZdVWv5zgfUz5JPB7ldlEeqKR94h9JBX3iC6svlVqQAUESRaIQdbKuHAnNPdjhSf/U6K+khiT3qK09NC0DBm9brUHvldb3isZM1LHnSXO0BNpxODfuEnRDjU7CnVAxh4E7a9GHlCmB6wYUTSyBFNLRUzJxhDq99Vl1ZCtdEdRr5C2UeWAqbjuN5x7IoD7r0glTtNGwLb80bXbmckG420z5joZDXTIeg8MDsiI1AWm31YIx87X3mnjqi8MroJuNH90t+iR04AJfjueBIa9vY74ydmpq85qo41YH22O4bUe3SrZ7KoBZujUcmitL6HDtdmWWjWwyFcQ1gZ7i9b91DzCMnBdkZuIKiwM+GCMlKMN0kOVpc8tMBaf6sSUNR1ERmBu1JvmMvkpkLhnHdjkz998EIkst+AEb6SqmIK3//LgmUiglF597ZowayDSt55zRucZLUScTCTRDV/GFhLObMrqPWHgvt5UQwv0Oru2sl0xZhHs6fVP4KvAh3x2PBZQ+En9rlF3k+HYpuEtcZ/OAdAEUMEuU1IbGz0/fzgsNgzO7k+REy8/rPIJMiqDwbe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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jYwnRqVfjHFgPT5jsP","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Descriptor creation and a single load only costs 21 microseconds across 4096 programs, which rules out descriptors as the source of the 15 microsecond per-program overhead. That means the real cost must be somewhere else in the serialized per-program pipeline on each SM—likely in the launch overhead, the Q load, or the initial peeled QK step with its TMA load.\n\nI'm estimating the 64 KB Q load itself takes roughly 1 microsecond given the memory layout and coalescing pattern, and the 128 KB epilogue store of fp32 partials adds around 2.6 microseconds at typical per-SM bandwidth, plus whatever the TMEM loads contribute. Looking at the SPL=128 test case with one block per program, the measured time per wave comes out to 16 microseconds, which is close to what I'd expect from summing these pieces.\n\nTracing the full critical path through Q load, peeled QK with TMA K loads, the main MMA/softmax/PV loop, and epilogue stores, each stage contributes roughly 1-2 microseconds of memory latency, summing to around 8-10 microseconds total, and with thousands of programs the block scheduler adds its own effects. The combine step for SPL=128 works out to about 21 microseconds, so overall per-program overhead from the prologue/epilogue latency chain lands around 10-15 microseconds — to hide this I'd want to overlap one program's prologue with another's compute work.\n\nA persistent kernel approach that prefetches the next work item's Q and K/V while finishing current work seems promising but complex, and reducing wave count (fewer programs per SM) also cuts repeated overhead, though a single-wave assignment of all 148 programs risks work imbalance; a stream-K-like contiguous split raises the issue that programs hitting the same tile at different KV positions won't share L2 cache locality.\n\nUnless I group work so that the m-tiles belonging to the same bh process matching KV ranges in lockstep — dividing each bh's KV range into chunks assigned per (bh, chunk, m-tile) — which keeps Q resident and lets programs on the same chunk share L2 data.\n\nSolving for one wave (n_bh × n_mt × S ≤ 148) gives S=2 for shape 2 (128 programs, 86% utilization) and S=4 for shape 1 (also 86%), matching the measured s2/s9 configs — the single-wave version loses to idle SMs while the four-wave version loses to split overhead, so the optimum lands in between. I'm also considering uneven splits, like giving some tiles 3 chunks and others 2 to better match 148 programs against the available tile count.\n\nThat approach fails because unevenly split tiles take proportionally longer, so the kernel's runtime is still bottlenecked by the slowest tile — no net gain over the simple split. This points toward Stream-K's actual mechanism: dividing total work into linear block-iterations and assigning each program an equal contiguous slice across tile boundaries, so some programs span two tiles and each tile ends up with 2-3 partial contributions, which also affects L2 locality.\n\nIf m-tiles of the same bh end up reading the same block at very different times, redundant KV traffic from HBM would total about 4 GB, which at 7.5 TB/s works out to ~546 us — dangerously close to saturating HBM given our ~630 us runtime, so that's not good. I consider a more elaborate stream-K ordering that interleaves kv-chunks and m-tiles differently, but it gets too complex and I set it aside, concluding we're at a local optimum for this design.\n\nWith remaining time, I'm weighing two optimizations: overlapping the epilogue store and Q load using async TMA descriptors instead of plain loads/stores, or trying num_stages=2 with an async Q load overlapped against the first K/V fetches. Looking closer at the epilogue, I trace through how the 128x128 fp32 accumulator gets stored per thread in the TMEM-native layout, working out the resulting vectorized store instructions and their byte strides per warp.\n\nTriton's coalescing pass should already convert the TMEM layout to a blocked layout through shared memory before the store, so the writes are likely already coalesced reasonably well. Given these micro-optimizations only promise maybe 1-2% gains each, I'm second-guessing whether they're worth the implementation risk, though there's one more angle worth considering.\n\nThe bigger gap is the 1.38us per-iteration cost versus the 1.0us TMA-only bound — a 28% potential speedup if I could close that overlap. I'm trying to trace through the TTGIR dump to figure out exactly when TMA loads for future blocks get issued relative to buffer release and PV completion, since that pipelining depth (NS=2, loads issued ahead by a couple iterations) seems like the real bottleneck preventing full overlap.\n\nI consider restructuring to process two blocks per iteration or splitting K and V loads across different stages, but neither seems to actually help given the fixed SMEM budget. Given the time constraints, I decide to settle for the current pipelining depth and instead pursue a few low-risk micro-optimizations, starting with switching the Q load to use a TMA descriptor for better async overlap.\n\nLooking more closely at the peeled QK step used just to compute the row-max reference, I realize it adds a full extra block's latency chain of maybe 2-3 microseconds, which is a substantial fraction of the total overhead. I consider instead fully peeling the first loop iteration itself—doing the QK, computing the rowmax reference, and the exponential directly from that block rather than via a separate dedicated peel.\n\nBut then I worry this doesn't actually help with pipelining: the prologue for the subsequent loads wouldn't start prefetching during this peeled work since the loop prologue only runs once the loop itself begins, so in program order the peeled iteration would still block subsequent loads from overlapping. So in practice the current approach's latency chain and a fully-peeled-first-iteration approach look similar, except the peeled iteration done as a true iteration avoids the redundant MMA that the current method incurs.\n\nI also consider whether m_ref could be assumed zero to skip waiting for it, but that risks overflow for large-scale data (s>127) or underflow when all logits are strongly negative, which would zero out l incorrectly — so the fallback needs to catch both overflow and underflow cases, not just overflow.\n\nFor a typical random-input case, I estimate that row-max values for q·k scaled into log2 units land comfortably within the safe range (roughly ±6.5, well inside -64 to 16), so the fast path with m_ref=0 should work for standard normal inputs.\n\nBut I worry about shifted distributions — if q and k have nonzero mean, the dot products inflate dramatically, pushing the scaled max well above 16 and forcing a fallback to the slower correct path. I'm uncertain whether the actual timing benchmark only uses normal-distributed inputs, so I'm considering whether there's a better way to estimate m_ref without relying on the earlier peeled QK pass.\n\nI could try trimming the peel's cost instead of removing it, since its latency compounds across multiple waves, but switching to a pure m_ref=0 fallback risks being much slower on non-normal distributions if those get timed too. A better option might be overlapping the peel's independent Q and K loads so they issue concurrently rather than sequentially.\n\nLooking at the combine kernel costs too, though folding that in seems like more trouble than it's worth right now. I'm leaning toward testing a hybrid: try m_ref=0 first, and only restart with the full online softmax approach if it overflows or underflows.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jYwnRqVfjHFgPT5jsP","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Descriptor creation adds negligible overhead (21 us for 4096 programs), so the real cost is each program's serial chain of Q load, peeled QK block for reference max, then pipeline fill/epilogue. I'll test a variant that skips the peeled block by assuming a reference max of 0, valid for normal inputs since row maxes stay within -64 to 16 in log2 units, falling back to online softmax otherwise.\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":1799,"cache_read_input_tokens":249168,"cache_creation":{"ephemeral_5m_input_tokens":1799,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2c8c73e9-0101-44c1-96b7-3c851d943951","timestamp":"2026-10-18T00:12:59.811Z","request_id":"req_011Cg8jYwQr88pfmjugShwye","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jYwnRqVfjHFgPT5jsP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01DSAv5Z4PymqM2gyMZsAyuL","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/gen/v14.py').read()\nold_peel_start = src.index(\"    k0 = k_desc.load([row0 + lo * BN, col0 + 0])\\n    k1 = k_desc.load([row0 + lo * BN, col0 + 128])\\n    s0 = \")\nold_peel_end = src.index(\"    m_ref = tl.max(s0, 1)\\n\") + len(\"    m_ref = tl.max(s0, 1)\\n\")\nsrc = src[:old_peel_start] + \"    m_ref = tl.zeros((BM,), tl.float32)\\n\" + src[old_peel_end:]\nold = \"    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\\n\"\nassert old in src\nsrc = src.replace(old, \"    ovf = (tl.max(tl.expand_dims(mx, 1)) > 16.0) | (tl.min(tl.expand_dims(mx, 1)) < -64.0)\\n\")\nopen('/workspace/dev/gen/v15.py', 'w').write(src)\nEOF\ngrep -n \"m_ref\\|ovf\" gen/v15.py | head; timeout 900 python bench.py gen/v15.py 2>&1 | grep -v \"^  \" | tail -5","description":"Test zero reference max without peeled QK"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1799,"cache_read_input_tokens":249168,"cache_creation":{"ephemeral_5m_input_tokens":1799,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ea7161f4-8c54-4022-8782-b4d680955793","timestamp":"2026-10-18T00:13:01.582Z","request_id":"req_011Cg8jYwQr88pfmjugShwye"}
{"type":"system","subtype":"task_started","task_id":"bsipfpdu9","run_id":"0mvd2nmqk-f57dcfbb","tool_use_id":"toolu_01DSAv5Z4PymqM2gyMZsAyuL","description":"Test zero reference max without peeled QK","is_backgrounded":false,"task_type":"local_bash","uuid":"177cba21-94ab-4982-9c81-8021428cde79","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bsipfpdu9","run_id":"0mvd2nmqk-f57dcfbb","tool_use_id":"toolu_01DSAv5Z4PymqM2gyMZsAyuL","status":"completed","output_file":"","summary":"Test zero reference max without peeled QK","uuid":"36cf1d7c-d61a-416c-9b15-f4ef1dbe2dfb","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01DSAv5Z4PymqM2gyMZsAyuL","type":"tool_result","content":"42:    m_ref = tl.zeros((BM,), tl.float32)\n48:        d = s - m_ref[:, None]\n57:    ovf = (tl.max(tl.expand_dims(mx, 1)) > 16.0) | (tl.min(tl.expand_dims(mx, 1)) < -64.0)\n58:    start2 = tl.where(ovf, lo, mid)\n59:    m_i = tl.where(ovf | (lo >= mid), float('-inf'), m_ref)\n60:    l_i = tl.where(ovf, 0.0, l_i)\n61:    acc0 = tl.where(ovf, 0.0, acc0)\n62:    acc1 = tl.where(ovf, 0.0, acc1)\n(1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621\n(1, 512, 65536): ok    632.9 us    865.2 TFLOP/s  vs expert 0.562\n(1, 512, 131072): ok   1174.5 us    934.3 TFLOP/s  vs expert 0.589\n(2, 256, 65536): ok    645.1 us    850.5 TFLOP/s  vs expert 0.591\ngeomean vs expert: 0.5904558173703062","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"7e56d720-fc1e-4791-865f-bb163ebae265","timestamp":"2026-10-18T00:13:07.161Z","tool_use_result":{"stdout":"42:    m_ref = tl.zeros((BM,), tl.float32)\n48:        d = s - m_ref[:, None]\n57:    ovf = (tl.max(tl.expand_dims(mx, 1)) > 16.0) | (tl.min(tl.expand_dims(mx, 1)) < -64.0)\n58:    start2 = tl.where(ovf, lo, mid)\n59:    m_i = tl.where(ovf | (lo >= mid), float('-inf'), m_ref)\n60:    l_i = tl.where(ovf, 0.0, l_i)\n61:    acc0 = tl.where(ovf, 0.0, acc0)\n62:    acc1 = tl.where(ovf, 0.0, acc1)\n(1, 256, 131072): ok    610.3 us    899.9 TFLOP/s  vs expert 0.621\n(1, 512, 65536): ok    632.9 us    865.2 TFLOP/s  vs expert 0.562\n(1, 512, 131072): ok   1174.5 us    934.3 TFLOP/s  vs expert 0.589\n(2, 256, 65536): ok    645.1 us    850.5 TFLOP/s  vs expert 0.591\ngeomean vs expert: 0.5904558173703062","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01DSAv5Z4PymqM2gyMZsAyuL","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jdjJV5LLQ9corAQLJT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"That 0.5905 vs 0.5900 gain isn't significant enough to matter, so I'll stick with v14 for robustness and discard the v15 peel attempt — the edge case with an empty main loop still restarts correctly from lo anyway. The per-program overhead must be coming from the epilogue or pipeline fill instead.\n\nRevisiting the gap between per-iteration time (1.38 us) and the TMA-only baseline (1.0 us), I'm wondering if it's a per-SM TMA throughput limit rather than latency: with 128 KB SMEM per CTA only one CTA fits per SM, giving roughly 64 GB/s per SM, and bumping to 3 stages barely improves it. 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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01VofVK1qtCHgcWMHA1edaGj","type":"tool_result","content":"The above exception was the direct cause of the following exception:\n\nTraceback (most recent call last):\ntriton.compiler.errors.CompilationError: at 17:19:\ninput and other must have equal reduction dimensions","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"63fadeaa-86f5-4a99-95ee-4795d14d22af","timestamp":"2026-10-18T00:13:24.413Z","tool_use_result":{"stdout":"The above exception was the direct cause of the following exception:\n\nTraceback (most recent call last):\ntriton.compiler.errors.CompilationError: at 17:19:\ninput and other must have equal reduction dimensions","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01VofVK1qtCHgcWMHA1edaGj","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jf18WR986WoeUvGhJn","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm spotting a shape mismatch in my test code: the matmul order is wrong, so I need to dot the scores directly against v0 instead of transposing first, which should resolve the dimension conflict in the accumulator.\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":1435,"cache_read_input_tokens":257309,"cache_creation":{"ephemeral_5m_input_tokens":1435,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e1c8be17-23ba-403f-b5a6-52b82e57fb70","timestamp":"2026-10-18T00:13:29.888Z","request_id":"req_011Cg8jezjwHjvDKZXjE3cfP","thinking_duration_ms":2928,"thinking_display":"summarized"}
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{"type":"system","subtype":"task_notification","task_id":"blxidzovn","run_id":"0mvd2oatv-b9e981d7","tool_use_id":"toolu_01V6jZaNMS7ae78tZ5VJPSC3","status":"completed","output_file":"","summary":"Fix and rerun TMA+MMA streaming test","uuid":"7ca8a97e-885b-4099-88b1-5a872b9556cf","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01V6jZaNMS7ae78tZ5VJPSC3","type":"tool_result","content":"BN=64 NS=2 nw=4: 718.6 us, per-iter 1576 ns, 6.15 TB/s\nBN=64 NS=3 nw=4: 655.7 us, per-iter 1438 ns, 6.75 TB/s\nTraceback (most recent call last):\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 262264, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"6ae7242a-d748-47d3-bbe3-2d09b5e2ca2b","timestamp":"2026-10-18T00:13:37.255Z","tool_use_result":{"stdout":"BN=64 NS=2 nw=4: 718.6 us, per-iter 1576 ns, 6.15 TB/s\nBN=64 NS=3 nw=4: 655.7 us, per-iter 1438 ns, 6.75 TB/s\nTraceback (most recent call last):\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 262264, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01V6jZaNMS7ae78tZ5VJPSC3","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jfx2WEiXr4HfPFNxue","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Checking the MMA-consumer test with equivalent FLOPs to D=256 attention, I'm seeing 1.58us per iteration at NS=2 and 1.44us at NS=3, which is actually slower than our attention kernel.\n\nComputing raw MMA throughput, the actual QK and PV matrix multiply work should only take about 0.5us at peak, but we're seeing roughly 3x that due to the serialized dependency chain — the TMEM-to-register round trips between QK, conversion, and PV create wait latency that dominates per-iteration cost. This suggests Triton's software pipelining isn't overlapping QK of the next iteration with the PV/softmax work of the current one.\n\nThat roughly matches the 1.2-1.4us figure. Since removing exp2 doesn't change timing, the softmax compute itself isn't the bottleneck — the critical path must be dominated by TMEM load/store latencies, barrier waits, and MMA completion latency, since even a high-throughput MMA can have a pipeline depth of 500+ clocks before its result is actually ready.\n\nI try several ideas to cut this latency: bigger MMAs per iteration (BN=128) but SMEM constraints force NS=1, losing prefetch; a single combined QK MMA with KS=1 instead of chaining two, which actually measured slower (696 vs 610); and varying num_warps for softmax, which also came out slower. At this point I'm fairly convinced the Triton compiler's scheduling is the real limiting factor here.\n\nI also explore a two-Q-tile ping-pong approach with BN=32, but TMEM usage for both output accumulators exceeds capacity, killing that idea. The \"pairs\" approach fails too since both sub-blocks need the full V matrix, so deferring one sub-block's PV computation to the next iteration still collides with the same accumulator.\n\nThe real issue is that chaining two dots in one iteration forces a separate intermediate buffer rather than true in-place accumulation — this mirrors the earlier QK chain problem where an intermediate S required a copy through tmem_load/tmem_store.\n\nI'm considering combining both sub-block PV operations into a single dot by joining P_a and P_b into one [128,64] tile and loading V as one combined [64,128] tile, so there's just one PV MMA instead of two chained ones. That would mean both softmaxes finish before the single PV runs, losing overlap with PV, but the QK side could still overlap since S_a and S_b run as separate 32-key MMAs letting softmax_a start as soon as QK_a finishes while QK_b continues.\n\nWorking through the timing, this only saves roughly 256 cycles out of ~2800, and the join adds register shuffle overhead, so it's a marginal win. I think I'm near the practical ceiling for what Triton can do here, so I'll spend the remaining time on robustness checks and small cleanups — starting with verifying edge cases like non-multiple-of-64 sequence lengths, small Sk/Sq values, and varying batch sizes, which have mostly passed except for the known large-value numerical cases.\n\nNext I confirm the outlier-triggered fallback to online softmax correctly recovers accuracy, note that Sq > Sk isn't a valid input per spec, and recognize that since we're only at ~59% of the expert's speed we won't clear the 80% pass threshold anyway — though the reward still scales with log2(speedup), so improving the geomean is worthwhile. I consider a few more micro-optimizations: num_stages=2 isn't feasible for BN=64 due to shared memory limits, adjusting maxnreg doesn't help, and I'm weighing whether reducing the combine step's 15us cost is possible.\n\nI'm weighing whether storing partials as bf16 risks too much precision loss, and confirm the split count is already well-balanced for the cost. I'm also considering async TMA loads for Q instead of tl.load for marginal prologue savings, replacing the epilogue's division with multiplication by the reciprocal for a free win, and thinking through how wave overhead scales for 4-wave shapes. I decide to try the TMA load and reciprocal trick together since they're low-risk, and start sketching the 3D descriptor layout for the Q load and how it would reshape into the block tile.\n\nI realize the TMA-loaded tensor likely needs a layout conversion back into SMEM before the MMA can use it, which negates the benefit since tl.load is already effectively async, so I drop that idea. I rule out the alternate K=256 split based on earlier measurements being slower, and now I'm exploring whether unrolling the loop with two stages could let the scheduler interleave iterations and sidestep the chained-dot TMEM bottleneck.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jjihvbg3LwVFeMmLcr","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Both options still exceed shared memory. I'm realizing the masked loop's buffers must be reusing the main loop's space rather than adding to it, since otherwise the total would be much higher than 196 KB. That suggests I could try shrinking Q by using a smaller BM value instead.\n\nWith limited time left, I'll accept the current design and focus on the combine kernel instead, since it's contributing a couple percent to runtime. Right now it reads lse twice across splits, but since n_parts is small enough, I could do a single pass: load all lse at once, compute max and weights, then load and reduce the masked O tile. I'm estimating this is already memory-bound at roughly 5 TB/s effective bandwidth, though the partials might be getting evicted from L2 by KV streaming, which complicates the picture. I'm also considering storing partial O in bf16 relative to each split's own max to cut memory traffic, weighing the precision tradeoff that comes with it.\n\nWorking through the bf16 precision tradeoff more carefully, I check the worst-case error against tolerance bounds (0.5% magnitude plus 1% of |e| plus 2% RMS) and find that even for adversarial cases with large outlier values in V, the combined bf16 rounding errors stay comfortably within the allowed tolerance, so this optimization looks safe to pursue.\n\nStill, halving the partial traffic only saves about 1% overall, so it's risky for marginal gain -- I'll skip it.\n\nInstead I'm reconsidering the overhead structure: with per-program overhead around 12us, I'm checking whether two programs could share an SM to overlap prologue/epilogue phases, which depends on SMEM budgets per CTA across different block size configurations.\n\nTesting BM=64, BN=32 gives 96KB which allows 2 CTAs/SM, but then TMEM columns become the bottleneck since two accumulators plus S and P exceed the 256-column limit, so this path is dead.\n\nSettling on v14 at 0.59x, I want to spend remaining time verifying robustness for larger shapes and checking for int32 overflow — B=4 with Sk=128K stays safely under 2^31 elements, but B=8 with Sk=128K pushes the K tensor past 2^31 elements, which could break TMA descriptor row indexing.\n\nTracing through the indexing confirms the descriptor shapes and offsets stay within int32/int64 bounds, and the fallback's masked restart logic for split blocks correctly handles overflow by reprocessing from the start with masking.\n\nI feel fairly confident in this logic now, so I want to run a broader randomized correctness sweep against v14 with varied B, Sq, Sk values—particularly edge cases where Sk or Sq aren't multiples of 64, or where Sq is close to Sk.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01SqcBA2mQoXX21bYffeQdKW","type":"tool_result","content":"Sun Oct 18 00:15:19 UTC 2026\ntotal 8\ndrwxrwxr-x 1 agent agent  140 Oct 18 00:10 .\ndrwxr-xr-x 1 agent agent  120 Oct 17 23:38 ..\n-rw-rw-r-- 1 agent agent  109 Oct 18 00:10 best.json\ndrwxrwxr-x 1 agent agent  160 Oct 18 00:10 calls\n-rw-rw-r-- 1 agent agent  487 Oct 18 00:10 history.jsonl\n-rw-rw-r-- 1 agent agent 6575 Oct 18 00:10 solution.py\nsolution == v14","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"0b871ae5-b483-472d-9184-6e8599cb50ff","timestamp":"2026-10-18T00:15:19.579Z","tool_use_result":{"stdout":"Sun Oct 18 00:15:19 UTC 2026\ntotal 8\ndrwxrwxr-x 1 agent agent  140 Oct 18 00:10 .\ndrwxr-xr-x 1 agent agent  120 Oct 17 23:38 ..\n-rw-rw-r-- 1 agent agent  109 Oct 18 00:10 best.json\ndrwxrwxr-x 1 agent agent  160 Oct 18 00:10 calls\n-rw-rw-r-- 1 agent agent  487 Oct 18 00:10 history.jsonl\n-rw-rw-r-- 1 agent agent 6575 Oct 18 00:10 solution.py\nsolution == v14","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01SqcBA2mQoXX21bYffeQdKW","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8joVRaFLtuk9q2dYaTM","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I actually have more time than expected, so let me explore one more idea: splitting QK into two independent 32-key sub-blocks with separate MMAs, letting softmax on one overlap with the QK computation on the other, then joining the resulting probabilities into a single PV dot product with K=64.\n\nChecking whether the join operation (via tl.join, permute, reshape to concatenate the two probability halves) would be register-local given the TMEM row-per-thread layout, or whether it would force costly register shuffles — I'm not fully certain. I also consider an alternative of splitting V instead and chaining two PV dots, but that reintroduces the double-TMEM-allocation problem, so the join approach seems necessary; splitting just the softmax while keeping PV as one MMA doesn't work either since PV needs the full K=64 dimension at once.\n\nThe overlap between softmax_a and QK_b could save roughly 9% per iteration (~256 of ~2800 clocks), though the softmax work itself stays the same since it's just split into two 32-column halves. I'm now tracing through the actual schedule from the TTGIR to pin down the real critical path across QK, softmax, and PV stages per iteration, looking at how the tensor pipe timeline overlaps these operations.\n\nThe key insight is that PV(j) currently sits on the critical path because QK1(j+1) is queued behind it on the tensor pipe — but if I reorder so QK1(j+1) issues before PV(j), then by the time softmax(j) finishes, QK1(j+1) would already be done, letting softmax(j+1) start immediately after accounting for tmem latency. That reordering could shorten the per-iteration critical path by removing PV from the blocking chain.\n\nI wonder if manually ordering QK(j+1) at the top of the iteration would help, but that's the manual pipelining approach that already failed at 1629us because the pipeliner bailed on synchronous loads, possibly due to the loop-carried index or tensor. Disabling the pipeliner entirely would mean synchronous TMA loads with ~1us wait per iteration, which seems clearly worse. I'm now considering manual double-buffering using loop-carried register tensors instead.\n\nStoring a full K tile in registers would eat way too many registers per thread, so that's ruled out. The 32-key sub-block split for QK doesn't solve the core problem either, since QK(j+1) still sits behind PV(j) on the critical path. Let me try restructuring the loop so PV lags one iteration behind QK, computing S for the current step before applying PV for the previous one.\n\nTracing through this reordering: QK(j) issues first, then PV(j-1) using P already sitting in registers, so softmax(j) can start once QK(j) finishes and overlap with PV(j-1) executing. The next iteration's QK(j+1) then queues behind PV(j-1), but since softmax(j) typically takes longer, PV(j-1) is likely already done by then — so the critical path per iteration reduces to QK(j+1) latency plus softmax time.\n\nThe loop-carried p tensor gets stored to TMEM before issuing PV, with V indexed at j-1 handled by the pipeliner as a simple offset. Edge cases matter here: for the first iteration p_prev is zero, and V(lo-1) either falls out of range (zeroed via TMA out-of-bounds handling) or references the previous split's block with p_prev still zero, so it contributes nothing — and after the loop finishes there's one extra PV needed for the final p_prev value.\n\nI'm now wondering whether the pipeliner will actually pipeline this loop given its mix of chained MMAs and lagged loads — the earlier v3p attempt had a loop-carried tensor that caused the pipeliner to bail, though I'm not sure if that was due to the carried tensor itself or the indexing logic. I'll just try this lagged PV approach and revert if the pipeliner refuses to cooperate.\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":492,"cache_read_input_tokens":266968,"cache_creation":{"ephemeral_5m_input_tokens":492,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"056ea1ac-ad5e-4060-966e-858749845e1f","timestamp":"2026-10-18T00:15:48.062Z","request_id":"req_011Cg8joV31b4yo5edpHzMCp","thinking_duration_ms":26714,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8joVRaFLtuk9q2dYaTM","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"About 68 minutes remain. I'll try reordering operations so PV lags one block behind in source order, letting it overlap with softmax instead of blocking the next QK on the tensor core.\n\n","signature":"CAQS+wgKEQgSGAI4AUIJbmFycmF0aW9uEgzGjTQ+71QMH6c/yeQaDK3mxcPwRdim+OcFfiIwFgiu1P5a7P/Gyta7Zcgtt4xknrLjNDipRUUb9li3i3b2Ut63bi8/b7k62dGYKY+BKpcIBbcXO5wf/T40thcq+L178myaR9cqjCK2sEqV8K1P1MAvNeZV/IP2o05UEmk14jsEfwpUigZKyq8UbA51BSywkMjbNlmdof2F6FJpR996pGxqKVBB29Y62V5B80YsLrWd/sLFoGwe3EDWbUQz1LnsCyXYgim90Tvi7ixLEhR5Y7KbiMx6MSfTvZa31MBQz9V0627VDGxT/LmHWPDp1KFGhHo2TEDO6vOMbPd0ZdFRivryYv5PdhaN8w7/DpJztLULY1j8RugchAjaFiGVjPHwKmYDazURxvi86RC/m03qPaerRy17GV6kilKykvQXae+kIRt4V4fhtq1Idf6t+DZut/fQ1csUbc8WhQ8u5x6XlUciqgVot7EWDjAywkju7m/U8TWSnLn7Z1ncDWahw18zJEwgKUflE65kTzHdnb5v9RSBdH9AuzGQflWJslzO7eI8aw8afwCDrcNDPmsVIavdu7iqDTzewyCRZydLhIG1CuFpnVRGqjGKefAe+2M3FNDfcmHkDcf8t9TXhdhFe86+dUUvwCvWpJPEL9UAbq+as7JyJNO0bPLudcCGkkmwjgRqN7adL9u0+xPvE81x0Cv/vUAaSVwMl3Cv71PT0QC+IXk4QN9U+eCUQa1kN+ahEQwGFvOvy1NgdohD4gwtQMs0K+sS6y9QiLwln+RO2DunefUy1VPP1UxxJJtSyyHhsbjGok1d5/Dj4Z4aUjUPxt/jLcl2iXPdP3Ippnia//5j+lxQVFfwV1sCWIhdb9cfSCDX8c49gIWy52qijemKDM0esUQz4wVjIsOcHVwORqA6rRpFQI4Y1ulPxUQiomu1IB7oAdaHyaxPi+EMR22gR+Gzg40XGQHYAn83Z8Lj1hyawiyHvQ+M3vAfO+p4DSVcWB5gXh0R3QutkZH9KyDDAWDTvPGFPkYx6c7v7SngOE2lWEQg0Oxw1m73N0WrOwGdB67JhhweCfaev324k4xjcSnl9B8+OFHWhBFuwszsUYY0mEmZ32aV5FmtX/5dNqg5VW4FpcbfoO41LRN3LHfF1PYYn++A9a/19EPcwWVMqYzkSlMBlR06dWs16AjyK05wnVJVd/fY0MLHb8UF0rZ0N/Q5B4yxv45WI8ybXzV7sLpoZPdjN2JkbMHN5GoJHlIt/sVajAqXTpVd3TotZcSaQhuU25+Xgg7D63kFtKfKcuJcS52DByIMThsFjN8ej88yp1QPCBhMHtA2gAh/upjhsP594TO1AhyGumDyfJK9kvSsrNPSPwIWKJOXWtUThjCPafr0SRbrKiq5nnpJBMN7Ikq/I7WCzBTjL+CfohYzEh24k446gVYeZvFzpHPmfluHpMOuj3iYMq25KxMP0ZjZtVQsVN8qF05D9LLOwi5ZIS7MdDftpLe8ZPltGAE="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":492,"cache_read_input_tokens":266968,"cache_creation":{"ephemeral_5m_input_tokens":492,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"12810edc-41f3-40ce-917d-6c92ffc92833","timestamp":"2026-10-18T00:15:48.085Z","request_id":"req_011Cg8joV31b4yo5edpHzMCp","narration_block_indexes":[0],"thinking_duration_ms":21,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8joVRaFLtuk9q2dYaTM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01CS5kzah2vpeEiDypNEyDG8","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/gen/v14.py').read()\nold_start = src.index(\"    for j in range(lo, mid):\\n        k0 = k_desc.load\")\nold_end = src.index(\"    ovf = tl.max(tl.expand_dims(mx, 1)) > 16.0\\n\")\nbody = src[old_start:old_end]\nprint(body)\nnew = \"\"\"    p_prev = tl.zeros((BM, BN), tl.bfloat16)\n    for j in range(lo, mid):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        rp = tl.maximum(row0 + (j - 1) * BN, 0)\n        v0 = v_desc.load([rp, col0 + 0])\n        acc0 = tl.dot(p_prev, v0, acc0)\n        v1 = v_desc.load([rp, col0 + 128])\n        acc1 = tl.dot(p_prev, v1, acc1)\n        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n        p_prev = p.to(tl.bfloat16)\n    rl = tl.maximum(row0 + (mid - 1) * BN, 0)\n    acc0 = tl.dot(p_prev, v_desc.load([rl, col0 + 0]), acc0)\n    acc1 = tl.dot(p_prev, v_desc.load([rl, col0 + 128]), acc1)\n\"\"\"\nsrc = src[:old_start] + new + src[old_end:]\nopen('/workspace/dev/gen/v16.py', 'w').write(src)\nEOF\ncd /workspace/dev && timeout 900 python bench.py gen/v16.py shape=1,256,131072 2>&1 | grep -v \"^  \" | grep -iE \" us |error|required\" | head -2","description":"Test lagged-PV software pipelining variant"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":492,"cache_read_input_tokens":266968,"cache_creation":{"ephemeral_5m_input_tokens":492,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"e6717f60-0708-43b2-bd86-c8bacc0010c3","timestamp":"2026-10-18T00:15:51.638Z","request_id":"req_011Cg8joV31b4yo5edpHzMCp"}
{"type":"system","subtype":"task_started","task_id":"b0j2dwj40","run_id":"0mvd2r9y6-06b8d183","tool_use_id":"toolu_01CS5kzah2vpeEiDypNEyDG8","description":"Test lagged-PV software pipelining variant","is_backgrounded":false,"task_type":"local_bash","uuid":"7d3c213d-1b59-465c-b3d7-949675ff82cb","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"b0j2dwj40","run_id":"0mvd2r9y6-06b8d183","tool_use_id":"toolu_01CS5kzah2vpeEiDypNEyDG8","status":"completed","output_file":"","summary":"Test lagged-PV software pipelining variant","uuid":"4b4eceae-f3a1-4bde-bdfe-ac7b8a3df752","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01CS5kzah2vpeEiDypNEyDG8","type":"tool_result","content":"    for j in range(lo, mid):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        v0 = v_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pb, v0, acc0)\n        v1 = v_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pb, v1, acc1)\n\n(1, 256, 131072): ok    623.6 us    880.7 TFLOP/s  vs expert 0.608","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"a69fb88b-538f-4045-9d9e-1c7df2e414b4","timestamp":"2026-10-18T00:15:57.073Z","tool_use_result":{"stdout":"    for j in range(lo, mid):\n        k0 = k_desc.load([row0 + j * BN, col0 + 0])\n        k1 = k_desc.load([row0 + j * BN, col0 + 128])\n        s = tl.dot(q1, k1.T, tl.dot(q0, k0.T)) * qk_scale\n        d = s - m_ref[:, None]\n        mx = tl.maximum(mx, tl.max(d, 1))\n        p = tl.math.exp2(d)\n        l_i = l_i + tl.sum(p, 1)\n        pb = p.to(tl.bfloat16)\n        v0 = v_desc.load([row0 + j * BN, col0 + 0])\n        acc0 = tl.dot(pb, v0, acc0)\n        v1 = v_desc.load([row0 + j * BN, col0 + 128])\n        acc1 = tl.dot(pb, v1, acc1)\n\n(1, 256, 131072): ok    623.6 us    880.7 TFLOP/s  vs expert 0.608","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01CS5kzah2vpeEiDypNEyDG8","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jrFnd7VfWd1kUjz2kt","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"623.6 vs 610 is slightly slower, though at least the pipeliner didn't bail completely — the schedule probably still serializes somewhere. I want to check the loop schedule for v16 to see the MMA issue order.\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":3949,"cache_read_input_tokens":267460,"cache_creation":{"ephemeral_5m_input_tokens":3949,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"89fc49f6-afaf-46a1-97b5-4b747aea42f7","timestamp":"2026-10-18T00:16:01.337Z","request_id":"req_011Cg8jrFQ3yfGNxfcA3txyD","thinking_duration_ms":1700,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jrFnd7VfWd1kUjz2kt","type":"message","role":"assistant","content":[{"type":"text","text":"Slightly slower (624 vs 610 us), but the pipeliner didn't bail this time. Checking what schedule it produced:"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3949,"cache_read_input_tokens":267460,"cache_creation":{"ephemeral_5m_input_tokens":3949,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"564998bd-6df0-400b-b221-89753b83b560","timestamp":"2026-10-18T00:16:01.338Z","request_id":"req_011Cg8jrFQ3yfGNxfcA3txyD"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jrFnd7VfWd1kUjz2kt","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01SMopCeXiUCzqUincEHXNPK","name":"Bash","input":{"command":"timeout 300 python dump.py gen/v16.py _fwd_split 2>&1 | tail -1; awk '/scf.for/{f++} f==1' dump.ttgir | grep -n \"tc_gen5_mma\\|tmem_load\\|tmem_store\\|wait_barrier\\|async_tma_copy\\|math.exp2\\|scf.yield\" | sed -E 's/ : !ttg.*//; s/ : tensor.*//; s/loc\\(.*//' | cut -c1-120 | head -32","description":"Inspect lagged-PV loop schedule"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3949,"cache_read_input_tokens":267460,"cache_creation":{"ephemeral_5m_input_tokens":3949,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5163ee46-8bd9-4e40-908f-0ec328619f62","timestamp":"2026-10-18T00:16:02.481Z","request_id":"req_011Cg8jrFQ3yfGNxfcA3txyD"}
{"type":"system","subtype":"task_started","task_id":"bsrjzbbxo","run_id":"0mvd2ribd-92408b23","tool_use_id":"toolu_01SMopCeXiUCzqUincEHXNPK","description":"Inspect lagged-PV loop schedule","is_backgrounded":false,"task_type":"local_bash","uuid":"61b79e9c-3c9b-48b1-8fe1-ec8c52aac865","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"system","subtype":"task_notification","task_id":"bsrjzbbxo","run_id":"0mvd2ribd-92408b23","tool_use_id":"toolu_01SMopCeXiUCzqUincEHXNPK","status":"completed","output_file":"","summary":"Inspect lagged-PV loop schedule","uuid":"1ccfefdb-9638-4957-b07a-863fe61b3aa1","session_id":"2d59cc46-eca1-408f-981b-3145525a308f"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01SMopCeXiUCzqUincEHXNPK","type":"tool_result","content":"regs 255 spills 28 shared 196736 warps 4\n6:      ttng.wait_barrier %p_prev_263, %p_prev_264 deps %q1_51, %s_265\n7:      %s_278 = ttng.tmem_load %s_120\n16:      %p_282 = math.exp2 %d_280\n24:      ttng.wait_barrier %p_prev_266, %p_prev_264 deps %acc0_119, %v0_267\n25:      ttng.tmem_store %p_prev_285, %acc0_119, %true\n27:      ttng.wait_barrier %p_prev_286, %s_261, %true\n30:      ttng.wait_barrier %p_prev_268, %s_269, %true deps %q0_47, %s_270\n31:      %s_289 = ttng.tmem_load %s_107\n32:      ttng.tmem_store %s_289, %s_120, %true\n34:      ttng.tc_gen5_mma %q1_51, %s_288, %s_120, %true, %true, %p_prev_290[%true] {is_async}\n36:      ttng.wait_barrier %p_prev_291, %s_261, %true\n39:      ttng.tc_gen5_mma %acc0_119, %v0_292, %acc0, %true, %true, %p_prev_293[%true] {is_async}\n41:      ttng.wait_barrier %p_prev_294, %s_261, %true\n44:      ttng.tc_gen5_mma %acc0_119, %v1_295, %acc1, %true, %true, %p_prev_296[%true] {is_async}\n45:      ttng.wait_barrier %p_prev_271, %p_prev_264 deps %acc0_119, %v1_272\n52:      ttng.wait_barrier %p_prev_302, %s_301, %p_prev_277\n58:      ttng.async_tma_copy_global_to_local %k_desc_61[%k0_273, %k1] %k1_306, %p_prev_305, %p_prev_277 : !tt.tensordesc\n60:      ttng.tc_gen5_mma %q0_47, %s_304, %s_107, %false, %p_prev_277, %p_prev_307[%true] {is_async}\n68:      ttng.async_tma_copy_global_to_local %v_desc_62[%rp_311, %col0] %v0_313, %p_prev_312, %p_prev_277 : !tt.tensorde\n72:      ttng.async_tma_copy_global_to_local %v_desc_62[%rp_311, %k1] %v1_315, %p_prev_314, %p_prev_277 : !tt.tensordesc\n84:      ttng.async_tma_copy_global_to_local %k_desc_61[%k0_323, %col0] %k0_325, %p_prev_324, %p_prev_275 : !tt.tensorde\n85:      scf.yield %l_i_284, %mx_281, %p_prev_285, %s_320, %s_319, %s_301, %s_300, %p_prev_290, %s_261, %s_288, %p_prev_\n88:      ttng.wait_barrier %p_prev_129#7, %p_prev_129#8 deps %q1_51, %p_prev_129#9\n89:      %s_258 = ttng.tmem_load %s_120\n98:      %p_262 = math.exp2 %d_260\n106:      ttng.wait_barrier %p_prev_129#10, %p_prev_129#8 deps %acc0_119, %p_prev_129#11\n107:      ttng.wait_barrier %p_prev_129#15, %p_prev_129#8 deps %acc0_119, %p_prev_129#16\n108:      scf.yield %l_i_264, %mx_261, %p_prev_265\n110:      scf.yield %p_prev_129#0, %p_prev_129#1, %p_prev_129#2\n147:    ttng.async_tma_copy_global_to_local %v_desc_62[%rl_132, %col0] %acc0_133, %acc0_134, %true : !tt.tensordesc<tens\n148:    ttng.wait_barrier %acc0_134, %c0_i32\n153:    ttng.tc_gen5_mma %acc0_135, %acc0_133, %acc0, %true, %true, %acc0_136[%true] {is_async}","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"8b226ab4-3d3e-4243-9904-78270307b8cf","timestamp":"2026-10-18T00:16:07.137Z","tool_use_result":{"stdout":"regs 255 spills 28 shared 196736 warps 4\n6:      ttng.wait_barrier %p_prev_263, %p_prev_264 deps %q1_51, %s_265\n7:      %s_278 = ttng.tmem_load %s_120\n16:      %p_282 = math.exp2 %d_280\n24:      ttng.wait_barrier %p_prev_266, %p_prev_264 deps %acc0_119, %v0_267\n25:      ttng.tmem_store %p_prev_285, %acc0_119, %true\n27:      ttng.wait_barrier %p_prev_286, %s_261, %true\n30:      ttng.wait_barrier %p_prev_268, %s_269, %true deps %q0_47, %s_270\n31:      %s_289 = ttng.tmem_load %s_107\n32:      ttng.tmem_store %s_289, %s_120, %true\n34:      ttng.tc_gen5_mma %q1_51, %s_288, %s_120, %true, %true, %p_prev_290[%true] {is_async}\n36:      ttng.wait_barrier %p_prev_291, %s_261, %true\n39:      ttng.tc_gen5_mma %acc0_119, %v0_292, %acc0, %true, %true, %p_prev_293[%true] {is_async}\n41:      ttng.wait_barrier %p_prev_294, %s_261, %true\n44:      ttng.tc_gen5_mma %acc0_119, %v1_295, %acc1, %true, %true, %p_prev_296[%true] {is_async}\n45:      ttng.wait_barrier %p_prev_271, %p_prev_264 deps %acc0_119, %v1_272\n52:      ttng.wait_barrier %p_prev_302, %s_301, %p_prev_277\n58:      ttng.async_tma_copy_global_to_local %k_desc_61[%k0_273, %k1] %k1_306, %p_prev_305, %p_prev_277 : !tt.tensordesc\n60:      ttng.tc_gen5_mma %q0_47, %s_304, %s_107, %false, %p_prev_277, %p_prev_307[%true] {is_async}\n68:      ttng.async_tma_copy_global_to_local %v_desc_62[%rp_311, %col0] %v0_313, %p_prev_312, %p_prev_277 : !tt.tensorde\n72:      ttng.async_tma_copy_global_to_local %v_desc_62[%rp_311, %k1] %v1_315, %p_prev_314, %p_prev_277 : !tt.tensordesc\n84:      ttng.async_tma_copy_global_to_local %k_desc_61[%k0_323, %col0] %k0_325, %p_prev_324, %p_prev_275 : !tt.tensorde\n85:      scf.yield %l_i_284, %mx_281, %p_prev_285, %s_320, %s_319, %s_301, %s_300, %p_prev_290, %s_261, %s_288, %p_prev_\n88:      ttng.wait_barrier %p_prev_129#7, %p_prev_129#8 deps %q1_51, %p_prev_129#9\n89:      %s_258 = ttng.tmem_load %s_120\n98:      %p_262 = math.exp2 %d_260\n106:      ttng.wait_barrier %p_prev_129#10, %p_prev_129#8 deps %acc0_119, %p_prev_129#11\n107:      ttng.wait_barrier %p_prev_129#15, %p_prev_129#8 deps %acc0_119, %p_prev_129#16\n108:      scf.yield %l_i_264, %mx_261, %p_prev_265\n110:      scf.yield %p_prev_129#0, %p_prev_129#1, %p_prev_129#2\n147:    ttng.async_tma_copy_global_to_local %v_desc_62[%rl_132, %col0] %acc0_133, %acc0_134, %true : !tt.tensordesc<tens\n148:    ttng.wait_barrier %acc0_134, %c0_i32\n153:    ttng.tc_gen5_mma %acc0_135, %acc0_133, %acc0, %true, %true, %acc0_136[%true] {is_async}","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01SMopCeXiUCzqUincEHXNPK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jtV5dJkW4cqVQRXfMZ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"630 is slower, so I'll keep VS=2. I'm considering whether reducing the per-program overhead by cutting wave count from 4 to 2 could help, checking whether a tile count of 64 with different stride values gets close to an integer wave boundary without sacrificing balance, but it doesn't look promising.\n\nThat leads me toward thinking about stream-K style linearization, where work is divided into exactly 148×k equal-sized chunks spanning tile boundaries rather than forcing uniform splits per tile, so each program gets precisely equal work even if that means a program spans across two tiles' KV ranges, and I'm reasoning about how to preserve L2 locality by keeping m-tiles within the same batch-head processing similar KV ranges concurrently.\n\nReordering to (bh, kv_chunk, m, kv_in_chunk) would let whole batch-heads share KV ranges in L2, but it breaks Q residency since Q would need reloading per kv_chunk. I'm concluding this doesn't improve things enough and settling back on v14 at roughly 0.59x the expert geomean, though I want to revisit the two-CTA path that previously crashed.\n\nChecking the masked tail loop for Sq=512 with 8 m-tiles confirms each tail segment of 1-2 blocks is handled fine by the masked path. I'm also considering whether reordering the program grid so each wave processes two heads' full KV ranges together could help by analyzing how programs map to batch-heads within the first wave.\n\nWorking through the L2 implications: with 128 MB of KV data per wave across two batch-heads, that's right at the edge of L2 capacity, but since the 8 m-tiles within a (split, bh) group stream the same KV blocks concurrently, the actual working set per group stays small, so there's no real pressure on L2. HBM bandwidth looks fine too since the full KV only needs to be read once per shape.\n\nWith about 55 minutes left, I think the remaining ideas are low-yield, so I want to do a final robustness pass on the solution and wrap up. One thing worth double-checking: the fallback threshold of 16 for cases where row scales vary wildly — if some rows get scaled by a large factor, the running max could be off by more than 16 from the reference, triggering recomputation for that tile's split, which preserves correctness even if it costs some performance on adversarial data. This matches what I've already tested in the edge-case suite.\n\nI'm also satisfied that all-zero rows, extreme value ranges, and non-contiguous inputs (which aren't in spec anyway) are all handled correctly or fall outside scope. The residual error on large-value inputs is inherent to fp32 precision, not something I can fix further. I'll jot a brief note of these insights into memory, then spend remaining time on one more micro-optimization to the combine step.\n\n12%), that per-program overhead sits around 12 us, that s=9 is the sweet spot, and that Triton's pipeline limit is roughly 1.4 us per 64-key block.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Nq4uR7UrqVRe5UE5JPV5ng","type":"tool_result","content":"The file /logs/agent/sessions/projects/-workspace/memory/triton-b300-attention-lessons.md has been updated successfully."}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"ad353d0d-76f9-4b68-a238-0f10713d3041","timestamp":"2026-10-18T00:17:01.716Z","tool_use_result":{"type":"update","filePath":"/logs/agent/sessions/projects/-workspace/memory/triton-b300-attention-lessons.md","content":"---\nname: triton-b300-attention-lessons\ndescription: \"Measured lessons from writing hd256 split-KV flash attention in plain Triton 3.7 on B300 (what helped, what crashed)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: 2d59cc46-eca1-408f-981b-3145525a308f\n  modified: 2026-10-18T00:17:01.710Z\n---\n\nFrom the xpr_hd256_chunked_prefill task (2026-10-17), Triton 3.7.1 on B300 (148 SMs, 126 MB L2). Final ~0.59x of the FA4 2-CTA expert.\n\nWhat helped (in order of size):\n- CPU work in kernel_fn before the first launch counts in CUDA-event timing: a 128-iteration Python split-search loop cost ~100+ us. Keep host code O(10) ops.\n- QK as two chained K=128 dots on K tiles loaded as two [64,128] TMA boxes: 696 -> 610 us (unexplained but robust).\n- Fixed per-row reference max (peeled first block) + fallback to online softmax when scores exceed it by >16 (log2): keeps O in TMEM, no per-block rescale. 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Plain tl cannot do 2-CTA MMA/multicast, so BM=128 per CTA is L2-bandwidth limited (~16 TB/s L2, ~7.5 TB/s HBM measured).","+What helped (in order of size):","+- CPU work in kernel_fn before the first launch counts in CUDA-event timing: a 128-iteration Python split-search loop cost ~100+ us. Keep host code O(10) ops.","+- QK as two chained K=128 dots on K tiles loaded as two [64,128] TMA boxes: 696 -> 610 us (unexplained but robust).","+- Fixed per-row reference max (peeled first block) + fallback to online softmax when scores exceed it by >16 (log2): keeps O in TMEM, no per-block rescale. Implement the fallback as a restart of the masked loop (tl.where reset), NOT an if/else that yields accumulators (that doubles TMEM/regs).","+- num_warps=4 (one thread per row), O split into two N=128 PV dots, BM=128, BN=64, num_stages=2 (SMEM: 64 KB Q + 2x64 KB).","+- Split count: per-program fixed overhead ~10 KV blocks (~12 us); cost = waves*(bps+10) + combine traffic; ~2-4 waves best.","+- Combine: one program per output row, 16 splits per load, 2 warps.","+","+What did NOT work: tl.range(warp_specialize=True) (crash/slow/hang), num_ctas=2 (PlanCTA assert), BN=128 or 32, 8 warps, chained dots into one accumulator in one iteration (Triton allocates a TMEM buffer per dot -> 2x O, overflows 512 cols), L2 bulk prefetch via inline asm (slower), Q via identity-MMA to get it into TMEM (stays in SMEM).","+- The loop sits at ~1.4 us per 64-key block = Triton's single-stream MMA pipeline limit (a no-softmax MMA-only loop is no faster).","+- 1D->scalar tl.max of a TMEM-derived vector crashes OptimizeTMemLayouts; use tl.max(tl.expand_dims(x, 1))."]}],"originalFile":"---\nname: triton-b300-attention-lessons\ndescription: \"Measured lessons from writing hd256 split-KV flash attention in plain Triton 3.7 on B300 (what helped, what crashed)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: 2d59cc46-eca1-408f-981b-3145525a308f\n  modified: 2026-10-17T23:48:20.098Z\n---\n\nFrom the xpr_hd256_chunked_prefill task (2026-10-17), Triton 3.7.1 on B300 (148 SMs, 126 MB L2):\n\n- CPU work in kernel_fn before the first launch is counted by CUDA-event timing. 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jw2AiVW5ZRUVjZUmRS","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01KjTUTvwe4327AWyJbqQ7eK","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('/workspace/dev/gen/v14.py').read()\nold = \"\"\"    tl.store(Op + prow[:, None] * D + 0 + tl.arange(0, 128)[None, :], acc0 / l_safe[:, None])\n    tl.store(Op + prow[:, None] * D + 128 + tl.arange(0, 128)[None, :], acc1 / l_safe[:, None])\"\"\"\nassert old in src\nnew = \"\"\"    if tl.sum(l_i) == -1.0:\n        tl.store(Op + prow[:, None] * D + 0 + tl.arange(0, 128)[None, :], acc0 / l_safe[:, None])\n        tl.store(Op + prow[:, None] * D + 128 + tl.arange(0, 128)[None, :], acc1 / l_safe[:, None])\"\"\"\nopen('/workspace/dev/gen/v14_noepi.py', 'w').write(src.replace(old, new))\nEOF\ncd /workspace/dev && for f in v14 v14_noepi; do echo \"$f: $(timeout 900 python bench.py gen/$f.py --nocheck shape=1,512,65536 2>&1 | grep -v '^  ' | grep -iE ' us |error' | head -1)\"; done","description":"Measure epilogue store cost on shape 2"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3336,"cache_read_input_tokens":274756,"cache_creation":{"ephemeral_5m_input_tokens":3336,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"2edfe9c4-1399-48c2-968f-44637ab4392e","timestamp":"2026-10-18T00:17:13.307Z","request_id":"req_011Cg8jw1ne97RcMNDstjFXk"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_018aikTD4fuKMFRoLHce6W4d","type":"tool_result","content":"(1, 256, 131072): ok    616.4 us    890.9 TFLOP/s  vs expert 0.615\n(1, 512, 65536): ok    641.1 us    854.2 TFLOP/s  vs expert 0.555\n(1, 512, 131072): ok   1181.7 us    928.6 TFLOP/s  vs expert 0.586\n(2, 256, 65536): ok    651.3 us    842.5 TFLOP/s  vs expert 0.585\ngeomean vs expert: 0.5848119669115851","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"62b16cca-9a8a-477d-8900-93870f65fda8","timestamp":"2026-10-18T00:17:51.150Z","tool_use_result":{"stdout":"(1, 256, 131072): ok    616.4 us    890.9 TFLOP/s  vs expert 0.615\n(1, 512, 65536): ok    641.1 us    854.2 TFLOP/s  vs expert 0.555\n(1, 512, 131072): ok   1181.7 us    928.6 TFLOP/s  vs expert 0.586\n(2, 256, 65536): ok    651.3 us    842.5 TFLOP/s  vs expert 0.585\ngeomean vs expert: 0.5848119669115851","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_018aikTD4fuKMFRoLHce6W4d","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8jzfVs19ugRUDUuL9mm","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"This approach ended up slower (geomean 0.585 vs 0.590) due to inefficient bf16 stores from the row-per-thread TMEM layout, so I'm dropping it. Trying one more epilogue idea: writing fp32 partials via TMA store through a descriptor, staging in the now-idle K/V shared memory.\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":2603,"cache_read_input_tokens":279394,"cache_creation":{"ephemeral_5m_input_tokens":2603,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5bc6e9ce-f99e-48bd-9f1e-a7ff6cb93289","timestamp":"2026-10-18T00:18:04.847Z","request_id":"req_011Cg8jzf8HwTeHuzqF2SqrF","narration_block_indexes":[0],"thinking_duration_ms":7,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_016JG8TmqLnWftT5WPCyAWGA","type":"tool_result","content":"(1, 256, 131072): ok    614.3 us    894.1 TFLOP/s  vs expert 0.617\n(1, 512, 65536): ok    636.9 us    859.8 TFLOP/s  vs expert 0.559\n(1, 512, 131072): ok   1173.5 us    935.1 TFLOP/s  vs expert 0.590\n(2, 256, 65536): ok    653.3 us    839.8 TFLOP/s  vs expert 0.583\ngeomean vs expert: 0.5868313311965924","is_error":false}]},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"42cae4e2-3151-404b-bdd0-5d50ac26da7e","timestamp":"2026-10-18T00:18:10.549Z","tool_use_result":{"stdout":"(1, 256, 131072): ok    614.3 us    894.1 TFLOP/s  vs expert 0.617\n(1, 512, 65536): ok    636.9 us    859.8 TFLOP/s  vs expert 0.559\n(1, 512, 131072): ok   1173.5 us    935.1 TFLOP/s  vs expert 0.590\n(2, 256, 65536): ok    653.3 us    839.8 TFLOP/s  vs expert 0.583\ngeomean vs expert: 0.5868313311965924","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_016JG8TmqLnWftT5WPCyAWGA","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k26UKbGGw6nmPPC62a","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"This variant is also slightly slower, so I'll discard it and stick with v14 as the final solution. I've run out of productive ideas within the time budget—v14 is verified correct against check.py and my own edge case tests, with a geomean around 0.59 relative to expert times. I'll do one last sanity check running check.py to confirm solution.py is still intact and correct.\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":1602,"cache_read_input_tokens":281997,"cache_creation":{"ephemeral_5m_input_tokens":1602,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"cf178e68-8201-42bd-814a-38970b816ec9","timestamp":"2026-10-18T00:18:15.978Z","request_id":"req_011Cg8k261niGjAeCCdvA8xe","thinking_duration_ms":3331,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k26UKbGGw6nmPPC62a","type":"message","role":"assistant","content":[{"type":"text","text":"The TMA store is also slightly slower (geomean 0.587 vs 0.590), so I'm stopping. `/workspace/solution.py` is v14, which passes check.py, the edge tests and the 40-case randomized sweep."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1602,"cache_read_input_tokens":281997,"cache_creation":{"ephemeral_5m_input_tokens":1602,"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":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"81aca0db-3155-477b-bf0e-873fc3c0c0e9","timestamp":"2026-10-18T00:18:15.980Z","request_id":"req_011Cg8k261niGjAeCCdvA8xe"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8k2Vrytq31AM4VCV9JM","type":"message","role":"assistant","content":[{"type":"text","text":"I didn't reach the bar. `/workspace/solution.py` is correct and about 10.4x faster than the starting kernel, but it runs at about **0.59x the expert kernel's speed** (geometric mean over the four timed shapes, my L2-flushed timings).\n\n| Shape | Mine | Expert | Ratio |\n|---|---|---|---|\n| Sq=256, Sk=128K | 611 us | 379 us | 0.62 |\n| Sq=512, Sk=64K | 634 us | 356 us | 0.56 |\n| Sq=512, Sk=128K | 1167 us | 692 us | 0.59 |\n| B=2, Sq=256, Sk=64K | 649 us | 381 us | 0.59 |\n\nThat works out to roughly log2(0.59) ≈ -0.76 reward. The strict pass rule needs at least 1.00x, so it won't pass.\n\n**Correctness:** it passes check.py, my edge shapes (Sq=1, Sq=Sk, odd sizes, B=3/4), shifted, tiny, outlier, heavy-tailed, row-scaled and zero-row inputs, and 40 random shape/distribution cases.\n\nThe one failure I found is an extreme stress test I made up: q and k scaled 300x and v scaled 1000x, so the attention scores reach about 1e5. A few dozen of about 1M elements land just outside tolerance there. Against a float64 reference, my kernel and the grader's fp32 reference each lose some of these cases. They come from near-ties between the top scores, which fp32 rounding decides, so I think any fp32 kernel, the expert's included, would hit them too. If the hidden \"very large values\" test goes that far, it could still fail.\n\n**How the kernel works:**\n- **Split-KV:** the KV range is split across programs, with 2 query heads packed per 128-row tile, K/V loaded by TMA, and a separate combine pass. About 9 splits per tile was best; each extra program costs about 12 us of fixed overhead.\n- **Fixed reference max:** each row's softmax max is taken from the first KV block, so the output accumulator stays in tensor memory with no per-block rescale. If later scores exceed that reference by more than 2^16, the program redoes its range with a standard online softmax, so unusual inputs stay correct, just slower.\n- **Biggest wins:**\n  - The split-count search cost about 100 us of CPU time inside every timed call; replacing it with an 8-step search took the kernel from 0.42x to 0.50x.\n  - Computing QK as two half-width matrix multiplies cut another 12%.\n\n**Why the gap remains:** the expert kernel pairs two thread blocks (2-CTA MMA) so each K/V tile serves 256 query rows. Plain Triton can't do that: `num_ctas=2` crashes the compiler. I also tried Triton's automatic warp specialization, other tile sizes, interleaving two KV sub-blocks, L2 prefetch and bf16 partial outputs; each crashed, ran out of on-chip memory, or was slower. The main loop is stuck at about 1.4 us per 64-key block, which is what Triton's MMA pipeline delivers for this tile even with the softmax removed.\n\nMy benchmark and experiment scripts are in `/workspace/dev/`, and I saved the lessons to memory for future sessions."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":542,"cache_read_input_tokens":283599,"cache_creation":{"ephemeral_5m_input_tokens":542,"ephemeral_1h_input_tokens":0},"output_tokens":808,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"2d59cc46-eca1-408f-981b-3145525a308f","uuid":"5ec1cb9b-78c7-499d-bbf6-665014a81aba","timestamp":"2026-10-18T00:18:28.044Z","request_id":"req_011Cg8k2VTg8yCZEV1qWk45p"}
{"duration_api_ms":2012157,"stop_reason":"end_turn","session_id":"2d59cc46-eca1-408f-981b-3145525a308f","total_cost_usd":8.841360599999998,"usage":{"input_tokens":206,"cache_creation_input_tokens":266135,"cache_read_input_tokens":17472708,"output_tokens":200766,"output_tokens_details":{"thinking_tokens":134296},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":266135},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"modelUsage":{"claude-opus-5-5":{"inputTokens":206,"outputTokens":200766,"cacheReadInputTokens":17472708,"cacheCreationInputTokens":266135,"webSearchRequests":0,"costUSD":8.841360599999998,"contextWindow":1000000,"maxOutputTokens":128000,"thinkingTokens":134296,"canonicalModel":"claude-opus-5-5","provider":"firstParty","costBasis":"list"}},"permission_denials":[],"terminal_reason":"completed","fast_mode_state":"off","fast_mode_disabled_reason":"sdk_opt_in_required","subagent_stats":{"spawned":0,"requested":{"background":0,"foreground":0,"unset":0},"started_in_background":0,"max_depth":0,"spawned_by_subagents":0,"completed":0,"failed":0,"killed":{"parent":0,"user":0,"system":0},"refused":{"depth_limit":0,"concurrency_limit":0,"budget":0},"by_type":{}},"safety_stops":0,"is_error":false,"num_turns":106,"subtype":"success","api_error_status":null,"result":"I didn't reach the bar. `/workspace/solution.py` is correct and about 10.4x faster than the starting kernel, but it runs at about **0.59x the expert kernel's speed** (geometric mean over the four timed shapes, my L2-flushed timings).\n\n| Shape | Mine | Expert | Ratio |\n|---|---|---|---|\n| Sq=256, Sk=128K | 611 us | 379 us | 0.62 |\n| Sq=512, Sk=64K | 634 us | 356 us | 0.56 |\n| Sq=512, Sk=128K | 1167 us | 692 us | 0.59 |\n| B=2, Sq=256, Sk=64K | 649 us | 381 us | 0.59 |\n\nThat works out to roughly log2(0.59) ≈ -0.76 reward. The strict pass rule needs at least 1.00x, so it won't pass.\n\n**Correctness:** it passes check.py, my edge shapes (Sq=1, Sq=Sk, odd sizes, B=3/4), shifted, tiny, outlier, heavy-tailed, row-scaled and zero-row inputs, and 40 random shape/distribution cases.\n\nThe one failure I found is an extreme stress test I made up: q and k scaled 300x and v scaled 1000x, so the attention scores reach about 1e5. A few dozen of about 1M elements land just outside tolerance there. Against a float64 reference, my kernel and the grader's fp32 reference each lose some of these cases. They come from near-ties between the top scores, which fp32 rounding decides, so I think any fp32 kernel, the expert's included, would hit them too. If the hidden \"very large values\" test goes that far, it could still fail.\n\n**How the kernel works:**\n- **Split-KV:** the KV range is split across programs, with 2 query heads packed per 128-row tile, K/V loaded by TMA, and a separate combine pass. About 9 splits per tile was best; each extra program costs about 12 us of fixed overhead.\n- **Fixed reference max:** each row's softmax max is taken from the first KV block, so the output accumulator stays in tensor memory with no per-block rescale. If later scores exceed that reference by more than 2^16, the program redoes its range with a standard online softmax, so unusual inputs stay correct, just slower.\n- **Biggest wins:**\n  - The split-count search cost about 100 us of CPU time inside every timed call; replacing it with an 8-step search took the kernel from 0.42x to 0.50x.\n  - Computing QK as two half-width matrix multiplies cut another 12%.\n\n**Why the gap remains:** the expert kernel pairs two thread blocks (2-CTA MMA) so each K/V tile serves 256 query rows. Plain Triton can't do that: `num_ctas=2` crashes the compiler. I also tried Triton's automatic warp specialization, other tile sizes, interleaving two KV sub-blocks, L2 prefetch and bf16 partial outputs; each crashed, ran out of on-chip memory, or was slower. The main loop is stuck at about 1.4 us per 64-key block, which is what Triton's MMA pipeline delivers for this tile even with the softmax removed.\n\nMy benchmark and experiment scripts are in `/workspace/dev/`, and I saved the lessons to memory for future sessions.","ttft_ms":2418,"type":"result","duration_ms":3257920,"uuid":"2d0711e0-602f-4af7-b7fc-194beff5e8d9","ttft_stream_ms":1268,"time_to_request_ms":73,"first_content_frame_ms":1268,"queued_turn_count":0,"result_index":0}
