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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fwWhjfsaJijXaLavuM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_019jWK9GXz6dGUcgWKXBdoYp","name":"Bash","input":{"command":"ls -la && cat task.py && cat starting_kernel.py && cat check.py && cat static_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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"4acbd248-07a5-486c-9e9a-daa88ba0b010","timestamp":"2026-10-17T23:24:43.399Z","request_id":"req_011Cg8fwWMQ2D7SgBR4HSTPX"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_019jWK9GXz6dGUcgWKXBdoYp","type":"tool_result","content":"total 37\ndrwxr-xr-x 1 agent agent   130 Oct 17 23:20 .\ndrwxr-xr-x 1 root  root    220 Oct 17 23:24 ..\n-rw-r--r-- 1 agent agent  3034 Oct 17 23:20 check.py\n-rw-r--r-- 1 agent agent  4816 Oct 17 23:20 nodus_autosave.py\n-rw-r--r-- 1 agent agent  2265 Oct 17 23:20 starting_kernel.py\n-rw-r--r-- 1 agent agent 13355 Oct 17 23:20 static_check.py\n-rw-r--r-- 1 agent agent  6758 Oct 17 23:20 task.py\n-rw-r--r-- 1 agent agent  5117 Oct 17 23:20 task_api.py\n\"\"\"Public task definition for xpr_hd256_chunked_prefill: reference, check, timed shapes, standard normal inputs. The verifier also uses edge shapes and hidden input distributions that are not in this file.\"\"\"\n\"\"\"Causal GQA attention with head dim 256 for chunked prefill over long contexts on Blackwell (expert PR task).\n\nSource: Dao-AILab/flash-attention PR #2916 \"[CuTe, SM100] SplitKV for the hd256 2CTA forward kernel\" (merged\n2026-09-25): the FlashAttention-4 head-dim-256 forward kernel (2-CTA tcgen05 clusters) gained split-KV with a\ncombine pass and an automatic split count; before it, that kernel rejected split-KV and ran one KV pass per query\ntile. The PR measured 1.9x-3.9x on GB300. The bar is the post-PR kernel (vendored in\nkernel_lab/expert_pr/fa4_v2916, num_splits=0 = automatic) at 0.9 of its speed, measured in the same run. On B300 it\nis 1.7x-3.3x faster than the pre-PR kernel on these shapes (expert_pr/prs.json).\n\nShapes are chunked-prefill steps (a chunk of new query tokens appended to a long cached context) of a GQA model\nwith 16 query heads, 8 KV heads and head dim 256 (Gemma-3 / Qwen3-Next style hd256 attention). Chunks of 256-512 tokens\nmake every timed shape compute bound (about 500 FLOPs per KV byte). Shorter chunks and pure decode are checked\nfor correctness only: there the expert kernel streams KV at well under half of HBM bandwidth, so a plain split-KV\nkernel would beat it.\n\"\"\"\nfrom task_api import Case, Task\nHQ, HKV, D = (16, 8, 256)\n\ndef make_case(shape, seed, device, dist='normal'):\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    B, Sq, Sk = (shape['B'], shape['Sq'], shape['Sk'])\n    q = randn((B, Sq, HQ, D), g, device, dist).to(torch.bfloat16)\n    k = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    v = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    out = torch.empty((B, Sq, HQ, D), device=device, dtype=torch.bfloat16)\n    return Case(args=[q, k, v, out], outputs=(3,), shape=shape, dist=dist)\n\ndef reference(args):\n    \"\"\"fp32 attention per (batch, KV head): query i of the chunk sees keys 0 .. Sk - Sq + i (the chunk is the end of\n    the sequence), softmax scale 1/16.\"\"\"\n    import torch\n    q, k, v, out = args\n    B, Sq, _, _ = q.shape\n    Sk = k.shape[1]\n    G = HQ // HKV\n    o = torch.empty(q.shape, device=q.device, dtype=torch.float32)\n    mag = torch.empty_like(o)\n    mask = torch.ones((Sq, Sk), device=q.device, dtype=torch.bool).tril(Sk - Sq)\n    for b in range(B):\n        for h in range(HKV):\n            qs = q[b, :, h * G:(h + 1) * G].float().permute(1, 0, 2)\n            s = qs @ k[b, :, h].float().t() * D ** (-0.5)\n            s = s.masked_fill(~mask, float('-inf'))\n            p = s.softmax(-1)\n            o[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float()).permute(1, 0, 2)\n            mag[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float().abs()).permute(1, 0, 2)\n    return {3: o, 'mag': mag}\n\ndef check(got, exp):\n    \"\"\"Per query token and head, the allowed error is 1% of the value plus 2% of that row's output RMS\n    plus 0.5% of sum_j p_j |v_j| (plus 1e-5). The last term covers bf16 rounding of the softmax weights (at most\n    2^-9 of each weight), which matters when an outlier value row gets a mid-size weight. A causal mask that is off\n    by one or aligned to the start instead of the end, a dropped KV block or split, or a wrong GQA head mapping\n    fails.\"\"\"\n    import torch\n    g, e = (got[3].float(), exp[3].float())\n    if tuple(g.shape) != tuple(e.shape):\n        return (False, {'error': f'shape {tuple(g.shape)} != {tuple(e.shape)}'})\n    rms = e.pow(2).mean(-1, keepdim=True).sqrt()\n    tol = 0.01 * e.abs() + 0.02 * rms + 0.005 * exp['mag'] + 1e-05\n    finite = torch.isfinite(g)\n    diff = torch.where(finite, (g - e).abs(), torch.full_like(g, float('inf')))\n    bad = int((diff > tol).sum().item())\n    fin = diff[finite]\n    return (bad == 0, {'bad': bad, 'bad_frac': bad / max(1, g.numel()), 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if fin.numel() else 0.0})\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's forward at the merge commit of PR #2916, causal, automatic split count, writing\n    into the output buffer.\"\"\"\n    import torch\n    from kernel_lab.expert_pr.fa4_v2916.interface import _flash_attn_fwd\n\n    def run(q, k, v, out):\n        with torch.no_grad():\n            o = _flash_attn_fwd(q, k, v, causal=True, num_splits=0, out=out)[0]\n        if o.data_ptr() != out.data_ptr():\n            out.copy_(o)\n    return run\nTASK = Task(name='xpr_hd256_chunked_prefill', title='Causal GQA attention, head dim 256, for chunked prefill over 32K-128K contexts (bar: FlashAttention-4 after PR #2916, September 2026)', models='Every attention layer of head-dim-256 GQA models (16 query heads, 8 KV heads per GPU) during chunked prefill and speculative or multi-token verification over long cached contexts on Blackwell.', semantics='q is [B, Sq, 16, 256] bf16, k and v are [B, Sk, 8, 256] bf16, all contiguous, Sq <= Sk. Query head h uses KV head h // 2. The Sq queries are the last Sq positions of the sequence: query i attends to keys 0 .. Sk - Sq + i (inclusive). out[b, i, h] = sum_j softmax_j(q[b, i, h] . k[b, j, h // 2] / 16) * v[b, j, h // 2], computed in fp32 (or better) and rounded to bf16, written into out [B, Sq, 16, 256] (contiguous). No dropout, no softcap, no window.', signature='def kernel_fn(q, k, v, out) -> None  # writes out [B, Sq, 16, 256] bf16', shapes=[{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}, {'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}, {'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}, {'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=lambda s: 2 * s['B'] * (2 * s['Sk'] * HKV * D + 2 * s['Sq'] * HQ * D), notes='Long KV, few query tiles: with B * Sq * 16 / 128 query tiles there are far fewer tiles than SMs, so split the KV range across programs (fp32 partial outputs plus log-sum-exp, then a combine kernel) to fill the GPU. Head dim 256 doubles the per-tile register and shared memory pressure compared with 128: keep Q in shared memory, use tensor-core dots for both QK and PV, and skip fully masked KV blocks (only the last Sq keys are partly masked). Compute bound at these chunk sizes. Expert times on B300 (us, cold L2): Sq256/Sk128K 379, Sq512/Sk64K 356, Sq512/Sk128K 692, B2/Sq256/Sk64K 381 (before the PR: 1264, 619, 1219, 649). The bar is 0.9x the expert speed (geometric mean over the shapes).', weight=0.6, gpus=('B300',))\n# Starting kernel: correct and deliberately simple. One program per (16-query tile, query head) walks the KV range\n# in 32-key steps with tl.dot and an online softmax in fp32. No split-KV (only a handful of programs run for long\n# contexts), tiny tiles, no pipelining: much slower than the expert kernel.\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _attn(Q, K, V, O, Sq, Sk, sm_scale, HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    pm = tl.program_id(0)\n    bh = tl.program_id(1)\n    b = bh // HQ\n    h = bh % HQ\n    hk = h // (HQ // HKV)\n    rm = pm * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qmask = rm < Sq\n    q_ptr = Q + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n    m_i = tl.full((BM,), float('-inf'), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    acc = tl.zeros((BM, D), tl.float32)\n    shift = Sk - Sq\n    hi = tl.minimum(Sk, shift + (pm + 1) * BM)\n    for n0 in range(0, hi, BN):\n        cols = n0 + rn\n        kv_off = ((b * Sk + cols[:, None]).to(tl.int64) * HKV + hk) * D + rd[None, :]\n        kmask = cols < Sk\n        k = tl.load(K + kv_off, mask=kmask[:, None], other=0.0)\n        s = tl.dot(q, tl.trans(k)) * sm_scale\n        ok = (cols[None, :] <= rm[:, None] + shift) & kmask[None, :]\n        s = tl.where(ok, s, float('-inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        m_safe = tl.where(m_new == float('-inf'), 0.0, m_new)\n        p = tl.exp(s - m_safe[:, None])\n        alpha = tl.exp(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        v = tl.load(V + kv_off, mask=kmask[:, None], other=0.0)\n        acc = acc * alpha[:, None] + tl.dot(p.to(tl.bfloat16), v)\n        m_i = m_new\n    acc = acc / tl.where(l_i == 0.0, 1.0, l_i)[:, None]\n    o_ptr = O + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=qmask[:, None])\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    grid = (triton.cdiv(Sq, 16), B * HQ)\n    _attn[grid](q, k, v, out, Sq, Sk, D ** -0.5, HQ=HQ, HKV=HKV, D=D, BM=16, BN=32, num_warps=4, num_stages=1)\n\"\"\"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())\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'","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e1e1f75d-0136-4bc7-840c-f2d9cbd7a704","timestamp":"2026-10-17T23:24:43.512Z","tool_use_result":{"stdout":"total 37\ndrwxr-xr-x 1 agent agent   130 Oct 17 23:20 .\ndrwxr-xr-x 1 root  root    220 Oct 17 23:24 ..\n-rw-r--r-- 1 agent agent  3034 Oct 17 23:20 check.py\n-rw-r--r-- 1 agent agent  4816 Oct 17 23:20 nodus_autosave.py\n-rw-r--r-- 1 agent agent  2265 Oct 17 23:20 starting_kernel.py\n-rw-r--r-- 1 agent agent 13355 Oct 17 23:20 static_check.py\n-rw-r--r-- 1 agent agent  6758 Oct 17 23:20 task.py\n-rw-r--r-- 1 agent agent  5117 Oct 17 23:20 task_api.py\n\"\"\"Public task definition for xpr_hd256_chunked_prefill: reference, check, timed shapes, standard normal inputs. The verifier also uses edge shapes and hidden input distributions that are not in this file.\"\"\"\n\"\"\"Causal GQA attention with head dim 256 for chunked prefill over long contexts on Blackwell (expert PR task).\n\nSource: Dao-AILab/flash-attention PR #2916 \"[CuTe, SM100] SplitKV for the hd256 2CTA forward kernel\" (merged\n2026-09-25): the FlashAttention-4 head-dim-256 forward kernel (2-CTA tcgen05 clusters) gained split-KV with a\ncombine pass and an automatic split count; before it, that kernel rejected split-KV and ran one KV pass per query\ntile. The PR measured 1.9x-3.9x on GB300. The bar is the post-PR kernel (vendored in\nkernel_lab/expert_pr/fa4_v2916, num_splits=0 = automatic) at 0.9 of its speed, measured in the same run. On B300 it\nis 1.7x-3.3x faster than the pre-PR kernel on these shapes (expert_pr/prs.json).\n\nShapes are chunked-prefill steps (a chunk of new query tokens appended to a long cached context) of a GQA model\nwith 16 query heads, 8 KV heads and head dim 256 (Gemma-3 / Qwen3-Next style hd256 attention). Chunks of 256-512 tokens\nmake every timed shape compute bound (about 500 FLOPs per KV byte). Shorter chunks and pure decode are checked\nfor correctness only: there the expert kernel streams KV at well under half of HBM bandwidth, so a plain split-KV\nkernel would beat it.\n\"\"\"\nfrom task_api import Case, Task\nHQ, HKV, D = (16, 8, 256)\n\ndef make_case(shape, seed, device, dist='normal'):\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    B, Sq, Sk = (shape['B'], shape['Sq'], shape['Sk'])\n    q = randn((B, Sq, HQ, D), g, device, dist).to(torch.bfloat16)\n    k = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    v = randn((B, Sk, HKV, D), g, device, dist).to(torch.bfloat16)\n    out = torch.empty((B, Sq, HQ, D), device=device, dtype=torch.bfloat16)\n    return Case(args=[q, k, v, out], outputs=(3,), shape=shape, dist=dist)\n\ndef reference(args):\n    \"\"\"fp32 attention per (batch, KV head): query i of the chunk sees keys 0 .. Sk - Sq + i (the chunk is the end of\n    the sequence), softmax scale 1/16.\"\"\"\n    import torch\n    q, k, v, out = args\n    B, Sq, _, _ = q.shape\n    Sk = k.shape[1]\n    G = HQ // HKV\n    o = torch.empty(q.shape, device=q.device, dtype=torch.float32)\n    mag = torch.empty_like(o)\n    mask = torch.ones((Sq, Sk), device=q.device, dtype=torch.bool).tril(Sk - Sq)\n    for b in range(B):\n        for h in range(HKV):\n            qs = q[b, :, h * G:(h + 1) * G].float().permute(1, 0, 2)\n            s = qs @ k[b, :, h].float().t() * D ** (-0.5)\n            s = s.masked_fill(~mask, float('-inf'))\n            p = s.softmax(-1)\n            o[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float()).permute(1, 0, 2)\n            mag[b, :, h * G:(h + 1) * G] = (p @ v[b, :, h].float().abs()).permute(1, 0, 2)\n    return {3: o, 'mag': mag}\n\ndef check(got, exp):\n    \"\"\"Per query token and head, the allowed error is 1% of the value plus 2% of that row's output RMS\n    plus 0.5% of sum_j p_j |v_j| (plus 1e-5). The last term covers bf16 rounding of the softmax weights (at most\n    2^-9 of each weight), which matters when an outlier value row gets a mid-size weight. A causal mask that is off\n    by one or aligned to the start instead of the end, a dropped KV block or split, or a wrong GQA head mapping\n    fails.\"\"\"\n    import torch\n    g, e = (got[3].float(), exp[3].float())\n    if tuple(g.shape) != tuple(e.shape):\n        return (False, {'error': f'shape {tuple(g.shape)} != {tuple(e.shape)}'})\n    rms = e.pow(2).mean(-1, keepdim=True).sqrt()\n    tol = 0.01 * e.abs() + 0.02 * rms + 0.005 * exp['mag'] + 1e-05\n    finite = torch.isfinite(g)\n    diff = torch.where(finite, (g - e).abs(), torch.full_like(g, float('inf')))\n    bad = int((diff > tol).sum().item())\n    fin = diff[finite]\n    return (bad == 0, {'bad': bad, 'bad_frac': bad / max(1, g.numel()), 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if fin.numel() else 0.0})\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's forward at the merge commit of PR #2916, causal, automatic split count, writing\n    into the output buffer.\"\"\"\n    import torch\n    from kernel_lab.expert_pr.fa4_v2916.interface import _flash_attn_fwd\n\n    def run(q, k, v, out):\n        with torch.no_grad():\n            o = _flash_attn_fwd(q, k, v, causal=True, num_splits=0, out=out)[0]\n        if o.data_ptr() != out.data_ptr():\n            out.copy_(o)\n    return run\nTASK = Task(name='xpr_hd256_chunked_prefill', title='Causal GQA attention, head dim 256, for chunked prefill over 32K-128K contexts (bar: FlashAttention-4 after PR #2916, September 2026)', models='Every attention layer of head-dim-256 GQA models (16 query heads, 8 KV heads per GPU) during chunked prefill and speculative or multi-token verification over long cached contexts on Blackwell.', semantics='q is [B, Sq, 16, 256] bf16, k and v are [B, Sk, 8, 256] bf16, all contiguous, Sq <= Sk. Query head h uses KV head h // 2. The Sq queries are the last Sq positions of the sequence: query i attends to keys 0 .. Sk - Sq + i (inclusive). out[b, i, h] = sum_j softmax_j(q[b, i, h] . k[b, j, h // 2] / 16) * v[b, j, h // 2], computed in fp32 (or better) and rounded to bf16, written into out [B, Sq, 16, 256] (contiguous). No dropout, no softcap, no window.', signature='def kernel_fn(q, k, v, out) -> None  # writes out [B, Sq, 16, 256] bf16', shapes=[{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}, {'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}, {'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}, {'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=lambda s: 2 * s['B'] * (2 * s['Sk'] * HKV * D + 2 * s['Sq'] * HQ * D), notes='Long KV, few query tiles: with B * Sq * 16 / 128 query tiles there are far fewer tiles than SMs, so split the KV range across programs (fp32 partial outputs plus log-sum-exp, then a combine kernel) to fill the GPU. Head dim 256 doubles the per-tile register and shared memory pressure compared with 128: keep Q in shared memory, use tensor-core dots for both QK and PV, and skip fully masked KV blocks (only the last Sq keys are partly masked). Compute bound at these chunk sizes. Expert times on B300 (us, cold L2): Sq256/Sk128K 379, Sq512/Sk64K 356, Sq512/Sk128K 692, B2/Sq256/Sk64K 381 (before the PR: 1264, 619, 1219, 649). The bar is 0.9x the expert speed (geometric mean over the shapes).', weight=0.6, gpus=('B300',))\n# Starting kernel: correct and deliberately simple. One program per (16-query tile, query head) walks the KV range\n# in 32-key steps with tl.dot and an online softmax in fp32. No split-KV (only a handful of programs run for long\n# contexts), tiny tiles, no pipelining: much slower than the expert kernel.\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _attn(Q, K, V, O, Sq, Sk, sm_scale, HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    pm = tl.program_id(0)\n    bh = tl.program_id(1)\n    b = bh // HQ\n    h = bh % HQ\n    hk = h // (HQ // HKV)\n    rm = pm * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qmask = rm < Sq\n    q_ptr = Q + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    q = tl.load(q_ptr, mask=qmask[:, None], other=0.0)\n    m_i = tl.full((BM,), float('-inf'), tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    acc = tl.zeros((BM, D), tl.float32)\n    shift = Sk - Sq\n    hi = tl.minimum(Sk, shift + (pm + 1) * BM)\n    for n0 in range(0, hi, BN):\n        cols = n0 + rn\n        kv_off = ((b * Sk + cols[:, None]).to(tl.int64) * HKV + hk) * D + rd[None, :]\n        kmask = cols < Sk\n        k = tl.load(K + kv_off, mask=kmask[:, None], other=0.0)\n        s = tl.dot(q, tl.trans(k)) * sm_scale\n        ok = (cols[None, :] <= rm[:, None] + shift) & kmask[None, :]\n        s = tl.where(ok, s, float('-inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        m_safe = tl.where(m_new == float('-inf'), 0.0, m_new)\n        p = tl.exp(s - m_safe[:, None])\n        alpha = tl.exp(m_i - m_safe)\n        l_i = l_i * alpha + tl.sum(p, 1)\n        v = tl.load(V + kv_off, mask=kmask[:, None], other=0.0)\n        acc = acc * alpha[:, None] + tl.dot(p.to(tl.bfloat16), v)\n        m_i = m_new\n    acc = acc / tl.where(l_i == 0.0, 1.0, l_i)[:, None]\n    o_ptr = O + ((b * Sq + rm[:, None]).to(tl.int64) * HQ + h) * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=qmask[:, None])\n\n\ndef kernel_fn(q, k, v, out):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    grid = (triton.cdiv(Sq, 16), B * HQ)\n    _attn[grid](q, k, v, out, Sq, Sk, D ** -0.5, HQ=HQ, HKV=HKV, D=D, BM=16, BN=32, num_warps=4, num_stages=1)\n\"\"\"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())\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'","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_019jWK9GXz6dGUcgWKXBdoYp","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fwWhjfsaJijXaLavuM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GdFrqrAd9LQfif3WLXnF1h","name":"Bash","input":{"command":"ls /logs/agent/sessions/projects/-workspace/memory/ 2>/dev/null && cat /logs/agent/sessions/projects/-workspace/memory/MEMORY.md 2>/dev/null; nvidia-smi; python -c \"import triton, torch; print(triton.__version__, torch.__version__)\"","description":"Check memory directory, GPU, and library versions"},"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"4d0fc540-3c78-4aa4-9d51-12de8bae1189","timestamp":"2026-10-17T23:24:44.592Z","request_id":"req_011Cg8fwWMQ2D7SgBR4HSTPX"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fx8QpETPxJK7A3Cg7a","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The memory directory is empty, so I'll check task_api.py and nodus_autosave.py next. I'm estimating the FLOPs for the attention computation given the query and key/value shapes, working out the cost difference from the large sequence length disparity.\n\nDoing the math, that comes out to roughly 549.7 GFLOP, and with the expert's observed timing of 379 microseconds, that implies about 1450 TFLOPS—around 58% of the B300's dense bf16 peak. That's a demanding target for a Triton kernel: Blackwell's tcgen05 MMA support via tl.dot exists, but Gluon isn't available here, only standard Triton modules. Achieving that throughput for head dim 256 is especially hard because of TMEM capacity limits — I'm working through how the S tile and O accumulator sizes interact with the 128x512 TMEM layout to see if a BM=128 tiling scheme is even feasible.\n\nI'm also checking SMEM budget: with Q, K, and V tiles at 64KB each for BN=128, that's 192KB, leaving no room for double-buffering K and V unless I shrink BN to 64, and even then there's barely space. This mirrors how FA4's hd256 kernel handles the problem by using a 2-CTA tcgen05 mode where CTA pairs share operand loading to halve the SMEM pressure — I'm trying to recall whether Triton 3.7.1 actually supports that 2-CTA scheme.\n\nNow I'm working through the achievable throughput numbers across different sequence and batch configurations, computing FLOPs and converting the measured microsecond timings into TFLOPS to see how close each config gets to peak.\n\nI'm trying to pin down B300's dense BF16 peak versus B200, and working through the per-SM tcgen05 throughput math to figure out how many SMs are actually enabled to cross-check against the measured ~1500 TFLOPS figure.\n\nNow I'm estimating the exponential bottleneck for attention on Blackwell: comparing MUFU ex2 throughput against the MMA cycle count for a 128x128 tile with D=256, so I can see whether softmax exp or matmul dominates the cycle budget.\n\nFor hd256 the MMA takes roughly twice as long as the exponentials, so it should be MMA-bound rather than exp-bound (unlike hd128 where they're roughly tied, which is why FA4 resorts to polynomial exp2 approximations there). Adding in the remaining FP32 elementwise work (scale, max, subtract, bf16 conversion, row sum) at ~5 ops per element gives another 640 cycles on the FMA pipes, which can overlap with the MUFU exp work since they run on separate units — landing the theoretical bound at around 2048 cycles, set by the matmuls.\n\nTo hit ~1500 TFLOPS against a ~2.3-2.5 PF peak means needing 60-65% MMA utilization, which really depends on overlapping softmax computation with the tensor core work via warp specialization or careful pipelining. I should check whether Triton 3.7 on Blackwell supports automatic warp specialization and look at the Blackwell fused-attention tutorial path, plus confirm the B300's clock speed. For the Triton design I'm thinking through a split-KV scheme — working out how many query tiles result from the batch and sequence length for a given head dimension.\n\nWith GQA packing, sharing KV loads across two query heads per M-tile could cut the tile count, and I need to balance total work across the ~148 SMs by splitting each tile's KV range into chunks so the number of split programs maps cleanly onto available SMs.\n\nAlternatively, I'm considering a persistent, stream-K style kernel where each SM-resident program claims a contiguous range of total (tile, kv-block) work units, letting uneven splits even out naturally rather than forcing nsplit to divide block counts evenly.\n\nWhen a program's range crosses a tile boundary, it writes out partial O/m/l for that segment and a later combine kernel merges results, giving good load balance with 148 CTAs sharing the ~32768 block-steps for Sq=256/Sk=128K, each block-step costing roughly 16.8 MFLOP.\n\nAt 221 block-steps per SM and ~2048 clocks per step at full MMA efficiency, that's roughly 238us at ~1.9GHz versus the expert's 379us, meaning we'd actually need only ~63% MMA efficiency in Triton to match — worth checking B300's actual boost clock. The partial-output traffic from combining segments works out to roughly 77MB total at ~7TB/s bandwidth.\n\nActually that 11us overhead is still ~3% of runtime, so maybe I should avoid crossing tile boundaries in splits rather than storing partials in bf16, since fp32 is safer for precision. Trying nsplit=37 for 32 tiles gives 1184 programs (8×148), with each doing ~27-28 blocks — only about 1% imbalance, but the partial output traffic balloons to 155MB write+read.\n\nThat's too much, so fewer splits closer to one wave (148 CTAs) is better — a persistent stream-K approach with ~1-2 segments per CTA cuts partial traffic to roughly 23MB write+read, about 7us. Now I'm checking the KV load volume per tile when K/V are shared across two Q heads via GQA packing, since each tile reads the full K and V for its KV head.\n\nThat works out to 64MB for K alone, 128MB for K+V per KV head, times 4 tiles per head and 8 heads gives 4GB total — far above what DRAM bandwidth could sustain at 8TB/s, so this traffic must actually be hitting L2 reuse rather than DRAM. Checking the numbers, 4GB over 379us implies about 10.8TB/s from L2, which fits since the true DRAM-level KV traffic is only 1GB (8 heads × 128MB), landing around 128us at 8TB/s — fine as long as the four tiles sharing a KV range actually reuse it from L2 rather than re-fetching from memory.\n\nWorking through the per-block-step math, I get roughly 18TB/s of L2 bandwidth required across all SMs, which seems too aggressive even for B200's likely ~2x improvement over Hopper's ~5.5TB/s L2 bandwidth — this is probably why FA4 uses 2-CTA mode, pairing CTAs to split K/V loading and halve the L2 traffic per CTA. I'm reconsidering the tile sizing to see if a 128-row block changes this picture.\n\nThis confirms why FA4's hd256 case needs the 2-CTA split: TMEM can't fit both S and O for a 256-row tile in one CTA, so each CTA in the pair holds half the rows and shares K/V operands via cta_group::2 MMA. That makes me reconsider whether Triton's BM=128 approach is actually L2-bandwidth bound, and whether TMA multicast across a cluster—which Triton doesn't expose—could have helped reduce redundant K/V loads.\n\nI'm also wondering if the PV matmul could use P directly from TMEM as the A operand instead of round-tripping through SMEM, since FA4 does this via the TS variant of tcgen05.mma, and trying to recall whether Triton's Blackwell backend actually supports TMEM-resident A operands for tl.dot.\n\nThat confirms the PV matmul shapes I expect — P from TMEM, V from smem. Rather than guessing at B300's L2 bandwidth numbers, I should just benchmark it directly, maybe starting with the tutorial attention kernel at hd256 shapes to see the baseline TFLOPS before optimizing further.\n\nWith a two-hour budget, I need to move fast: check SM count and clocks, then write a split-KV Triton kernel using GQA packing, TMA descriptors, and a persistent stream-K-style split with a combine kernel, testing correctness and speed before tuning block sizes, warps, and stages. I'm looking at how Triton 3.7 handles attention on Blackwell, referencing the fused-attention tutorial's inner loop structure for ideas.\n\nStill writing kernel logic...\n\nStill scaling accumulators and updating running stats, then I'm thinking through how the forward kernel handles larger head dimensions like 256 and whether the accumulator fits in registers versus needing TMEM, referencing throughput numbers from warp-specialized FlashAttention on B200.\n\nI could try conditional rescaling with a scalar branch on the max-reduction in Triton, but given the 2-hour time limit I should be pragmatic: get a working split-KV kernel first, then optimize. Let me check the GPU properties and see if Triton's tutorial attention examples are available in site-packages for reference.\n\n","signature":"CAQSk30KEAgSGAI4AUIIdGhpbmtpbmcSDLexJ9ZNwpcvmCXEWRoMxiHBBrf1S8KPUUOEIjB4J9efI86qgcb6mJNvD2doyij2pWjibIWTewkH5YRAvodAhUXm0CTOgB5MQ0M2CboqsHwgoufuwUPlm1oHFZrAJS/bQ51bWQjyemWSLKdQia5IZjW7zSPKqxwf5JyWhLasX2fLWt/xWwub/lW4Rl/KNbvhJyOr6BFJph3Ff+Lttcd5oibD7T00wiw/rJvGwLIfa6QcA7PUvla9S+qc4Ld7mzEB8zHW5JgT2SzF+oaPGBJ7PAkFGGF9TcTu14Ory/ifeL1CTYW9ibw1/4m9XQ5860qEoL+n3gJGVnbP4J36wFiYBzGNwhFS6c2BlMcRGYAZRmt4I/7+RgYUqKo0I+9+fmGiNcTiC9BPrcw9bryu8x3CqXaC1T6rWhKvXTLpuPkyne/zgj1H8PXqAfUF+ad0K+J1694o36YdLEjAIxqB+15H/e+0Ljb78HimDlrfAMjbuyukECTDphYgejiY7cqaCxv1FIDZvoHKjDX3Y8hBiOSF79Q2wqUJO79mOHHzgcth2A7GdrwMQMHjxW9TWl2TU4dtl/qBleccRHC1uSyAuhF36ddBvAX86+Ddo0Ajo6YclTz3LtroaFaRZHfMBh7gWs5YYwr6f3xwVenOTeCOFeZxybR+bilCzsol1QFQPnkpZBKJss7PDvSQUYN8KxuM6giWO51Sih7bXxMnooLXBWmjuNBkFuAlqpwwZnvdglMcb5wd2tmMvKEErx3HKtiGI5uAuUY53U7HFnvVsX/X/AG8HZ2PnaJsLiqcHfPVIKHY+I5+qIpX2dMNTsx4IXiuZPu92z2iGbjBtAvBRirMfRrBpb2zM1Yj1IApR1Byam35A4uOhiJT0rmmqHBqGYMbojhj2eUe1rp9pAEJu6KXpreaOzFfGhm4trARHV/hZ43ooeoNfN33kRsnwaeI6uJxhmEmql7/5+Hy7YDBxb+bdFiP2z1o72OmiddPTjZqnpUMEr8K5H47BwdC5dI53sSR5iO1s8omvH1VlGKxU3ixTlo8C2dg3gZfyKYhMbDwOLuKbgbVNoBJZA2+ukusnpjLwqrT1UDwimJvseg9yBIVdHcyqrqN+qpi1RDQAhS9EUoxQ7r6nOBJRI56mDTZV5OvJoowchH9HUQSR1piR9hwNnjDPZGF27xF8e3FyhfbiIw2NF72NIW1u9mzcqgl8arUcyh2asI1Zr6CEcamaS32/K7q7p3Ld4vQxGIvOGDLoh3x4m3d+enUgbhVc1waQBHqCUK+o9f0xfo+s0B7ag9g5+tWA533/zDHyAd0M/Nr/KEVM4nDfdKHUv7KI4sI9W9cB+vl7wbPAVKzrOYbvLfFtbtYkGSucQiQo7r+dSD02sJdDpUYPshGVD0muBIgJ0JyVBAlnIzhKmK1qvw6pfpsaCJGykCdTiqlmW6aWMeYOOXB+ChUvO0z4rUGUKIglG6rCBeWMtT98oTxyKFsGijj8k0dZBJGBaUyFb3XhYmDK5e32QBv00DvP3UfEGBGB4tq80stJlDagnlKKDh7ZK4pTVDdrEbsURawW0QAxbN0Q6nbvF+woYl7H4fCEn4oK7y/Czz5MFWRo4nh5V5y+ooSgCcB5Micw7WhEiXbpRNoNrRSnOmLazVzeRXw6PPAvGVVvEo3PjeWlwn93s3Z9GXgp5llw1w3MtMl5X6bW7jN9G+pxFwvv7ppuAnR/rb0j4Gr2Q41QfnpHDmivOET0R2Itn+KWxW/o9j8UAg0cfFAHm3SMJD4hfmj+7/Td2pByBdRJbPwW98iG0ktzcN41y3QLab1+r4KLC9dtS6wUPyWJIqUUlp/1/ECYzQDbHOBmLAUNeJkYxbb8LPpq2e6PYiMDTnd8IL1dKs2kyX4aSx1IDpXQ045pu7vQnDpT5PvwJlykSJyV7S640AlnzLsvsFaXcE1KlFnwECYZ/y3jH9oTqutoWOvB2gZoCMw8MJheesQToqQcNdRF60BX3bD2knLLCzzvO6WxbLwzAErR/ajp7wAeMzkQe+J6CbdchX/mw8ZtTCixvOpEAeIN1hvwoZVjJXsaIWUh0l/TFuNl7efgKF1AS7+i3IahZurh8graq/0gTTfakdMkQlhViiD2U9Jeaf6a0/FYT6fbrptGn7PY2XP9bvyGBz7K0AavwCmbfYSk9R9R7mTfj/7dgQDF8eCwX7js70lyTShOS1dQWfRz8hFDil5ENrOpzPVNanuXfs5Zfp4jszdhOCgx2spYwo7Um+S6F8WulLA8l5bHD02eyZHGF5Hp5yH577dUjHR6kkQwykalSvi0JIdJ/CZFW/dRf5FwPwkz+kuZ1c2kD8kaldwNMIBID0wdtKiBtypbvfZCeDulirw+/LCvvetYfed2/jCNsrHMwlDUGBjFdruEy2VdLqtpbWDRhgNApz03aJz5hHFKLF4eCSlLZ+WI4T+im5+3+39lscRdVxgT72mmAxe3NYVajcGeVA9Qexc0WAl4Y2tbpQnFJSL3J6IvPAXNbcCv5k2WcWYEyu9IQvHjMkU2h2SfZXT3v402QOG3KCcNTJFldz8eriiOAHqbvp7CdrNxZciblYsXU9F1HPJtBOlTnPUNZJca9cVosI1EvZbfhCWkfg3pWW6EBzQ4NWuZh9w+QdCdlWbiP9KN3e1Uto2T5StrJ0I3m4qa6t+n8HMV0W1dJiAA4m4vMZgyuuUVCyjWwPIGAj7LnGBtpnVnOLluVTWJHHWlh7nYv1k7Xto95nbT5cdKV6Hafu6UNupKHJ9p5srB7QBsH+QfdRpm0GD/DZbFjD0z9Yzy92FXSyzFwIGNZzxLME++Xy6x9OyrOFCoBurj2MCzOrhjpFATB2NrhFRgB5uDEXIXvf/9JaHdu76JbR2oFZB/RiCx4XsC/YlSa4pBjVkMwQvOSk/ti+VDfdWxGTUktC+VO3J5zj0+HjXihbDnocJfO3Bw8TOwpubvEGDaLcSfw+oMOu6fBDKu8bE8Utdp0ULLlBaTyhigZfyl5GGAVyBuJX06SBeLlyILxJe2Ms3FPmr7IM2TVUbWo7T6Hrm4qlp2DTXj5sU10wWPjV6J9cniiPkOQVq3NwrvPvL37hKmu6YHsNxMmS6yIKb7TNSBFkuLNwJ9lTJOzNw8+wuhCovlPngvQYmR+DLt4zSnHEm+iFncNZtIcS0/P/w1jKfc7SFUSpcGZMRz0bhx6ZbMNY9dAyU7bNJ6jdjOCECeTK5hQaaHQZBUx5OJWOddCJ4ZILZl9JwLvFl0y+njnpTZuvDFihuZmXVxhRMrHpQZarTOYVfW/SnOdrPudiof5Jf6jopngwiSCT85asHp+dyoh0Mt4CeOOtuNgzIT1t00gdA/FU0ZD+Ra36lqalcvYAw6Jv6OlPDdSG/+z91GpzRYL3oNi6zsuHJNmadZD+5up3B5XceajK+H6yQFw1JmUmFuRTgMTGcxWzXWbJcKuJ0bA2ZK7EOstTshjBhVwCw8oXTKOfekuLoIKiNLjoTCpb7TqkIs/CnWsAJqEvZ/swhcv16wuOqlK/sFpOYqZ7dV+EvARQQW+JE18fZ94j2UUPHeegv3FsoZ96JJmRptUvPes2hYi1PQACHJHU5+zO5GyvphChzwOoLNCuhbX5dzLXCKyGTmjnr6091nwjYTTg95QHwnG9ycmHCEOSLaORnP3AGxP3J/RJ9SwUlnXXzPyVsMH7Yosvqfi7uQbFoZAVdLMHTOUn8f3XFsEJDEnerhV/dYW/CUIp6Hg9wgcfoviPRpjmHHVXIdOB2M7i9Ae5I4FJci/Ul2UHO5voAE8ffLEm6HcBiqkmgwOtQiGAguYJrTfMMqqWXaa0dLHoFbDOEnCHX3NgSHYEqL4fzrwmXx1aXC12dOHbIbv6BQVwBgGm2/MRB7JCJGliXqbgon4wPqsJe0A0r3mW2jYP9gPpG7+hCEaaM3CqAsyG8tVq8GiGiw9gTJQEwEf+QVJNNvar6nRToKgx+0f79wSP350IBJexDUq/SePuH87zlSEDMRjprvSloLFvzVYFLIaHvTw/Xyhsv+mDQMHO4vsbFpyciLkrnPJAPYfUngWH/5XYcbqw3DCtE0nbaB6rlCOnfYP4SjmDz06OiO/GzqETJ0fKiIjv74RigHrwVaM+khxuw9Ot8bsRy0xxNJBHSyxMBusah1Ib34cTiHGwTLbYTYeF8qXhCrUb48hxFxJxleAZPBoCagneBm/mHIewT9fCLUYppZMJDufuLTjvRV2yv66S160+azpQjlIzYJdwVOsgK8oUp43Kr6xt2ZsMQrpsfvlqEovZePrXVtKuxhsWSDeQ77MBW7ygEq+yKz3uW9um8mUqj8zrRJ1VYqV261uir9U5GiF/q9G/faN4i4Fjgz/05sZ/yUYcmSB89FpjsOJ0fnPE6mxfz0d3ceuShjr/JUmMil5QqKwq3aSeedpJcdlX3/Tcui2qPadGPP9S5CjR/7VmoaWXmSb2BovKyIcyPkPGMjdHW9b5Z0l/HrZgGdMKOgrz5Zm5ERVBRMWl4aV/brymNJ66030KPC9yX+jdQPZuH36+n6j9XpNp6IR+Mnw5OU/zg1vOjJ3OCIMlQx+BrX3EAPoTW+Gba3uUFUTtbrbPj3vsKyHZbMX6burmOe8zbWS6/0sog8D6tLIr7Unux/y1xfFnGG1R5ZrHXkTALD8FB10XYLyhC5lNsTZgNtX3phy7yMA6igMs2Nhl9iZBDpgtzQyEJyvmpeA5gIW49RBtqnGf0cK9n9DLrvZg11TiXBpW5iiA/d4GEhqac4/3G91BHodnoeVTMLjLsAFMdzsmxX6tpgHxcc1a7TwAAmwpqLez5G6uWzlCExeb4LL2flVYenCs2J0zcJ3Ldtfq9HmG/N4kVPlByI9z3ETgS4Acvs6+CvVAMt33cd93UO5iM6JrkTr05iPGapTxlfq4ZwuhJzcwu879k7yWyEBfIsR23m+/ASlGyi9YF3Ogxam8jR6ufBkAjM11ujaxwJ8YW9OOtgI0a2Fbcjxiaiq3oxpWG9g13KItRS2J+dDvtN+LQA+riME7uko9T2+b/JKXlYJCb+Zls9l0AazlISmowcARV2zYl5FLfHYaUWxY5VvEtuRuw6N0yy3KWR2gbuz5cVgyF9N55ZC5Mj0DrEH4dLU6dgWkhsoyWsw7AXoSUwJJWoLULmTEH0pv1M/qFGgZuJHROe4BKaNHQTNDZIFdK/qb3ZJ0PZtoOhWaOlinPRvBesYV526BR8xXIo5WwP6qur3YUopCmMJoyElxkJ5hM/iL1lEIJxAQQZNaH2MUtVtF30Q1ywuWRcSmkpo7G8Z0imM8lfZpbFo0hSPNf7JsNPcO8CcJ8XbKr2MD8m3rfucHGPIVe67S+/TgzQX3nrv/2wfFuIEbiofgSNKpalRRYu+CPxMM+oWqRP1MsYUHRDDkYy7j5/R65qDvvTdoFOYrfoafnA0iy1TKaJx2iR0+eWxsyFWfqdd2VhQP57LanZKBpvmTVQzfNrAOywiisFvxPMMLaY+HIx/rPVvdUNUSABlVgZcBNVS9iXuc5v3ZuKZbxh3i4eLxoD1iJIpR1HPAEKY2/kDRYgCcga8oII1ivVQcAOdaDuSc0oiC50t0S93Alff3p1T47IiUsDtcW2hs28VU26lFdBCDRZ0XLwrE4BN19hnPdPVsuQfuzQ7Du3P6Qf1ICRFl6QVufqMin0g4OemDdB4b7J+xZRSvq7XbJCDz/4KeSelQ0h9nQf5XtZ4SzmYg4UzciZ49FDxdomBTUqVST7MsiKQJCyWlKWKEUcOm3npt7OGU+UVwzWduTYhP2Ty8g972AjgIZEvV0EkLZ4d8hPBJCSPF/futFVO0F3mELJTwVOxZ8K0njwxIqjhtGp7S8xGhjLnF/TirQOUP9GXfqJQjVKG0Sf2JIC3QgmjLkDVBhXv3GsNKsehYClcsG2KlXBBWHxHkiVn7g6pfmbPDBB6vw2ww1y2VE+X/C3tEk5Iwqey4epPkgE3kIVXkt4+PoGa00CjDYGJtLhMW6D5ScuTJ60cWC3QifrmWEir8ZCyvVQJPvAAcG894aOTiiERAw3d0oBrCCg2NF1U97Bg+r2/svtUFIJxgX1DTYqXDkv7hVJGf/DMASehPNGvZjVxrSu7f50BbLYbY5pO9MIIMQrdX6tt9T7MLGoJXLRT1aU2C0zF0RGs+PYvArwAXqO9ROpgxhpfT0+nJ3VQ2nQJP2tFOzmnLtAsIIK5CxRH0GfO/u0HsICAiHPsq0FYxrvXoOoEBTnLT5ZBTNWGgw5TcBSxFfuTi07QGvWqAVNtohTqMYboj7Dzfrv8BLnDK2HTM97KK4nrvzC87TUERUqgpPf9fWczSdxzAxN0BI3eE6z0QaGpMlzLjFZq+VVfL6KRyTjMnjQIJiud2zQqA+hb+9qXp+zI+sg9nOxyHTfDw1mnT4Zgc7yxmMiJ4HvXRqNTILIlgh4H7zZV1FVdGJ7UOAQI9+AQT4Q3yFWzsjT1UlWkC1Q3TmEwLknWCClAXpN3mJhUpv+UMDV/UdvvTHXjj7p5WzRQIqOU6A2xdjt1BkU7dJrd7BPrTqcHDpHuOsuELKiccKUrtjtB8Z97/u7a3kVF3Taa1Gayet68wi7vtJP3rfBbQJFTzReK3YenYl+CTrx1dtGwmlUUmWhA2rpMjIWn71Z0vSqSPVKxa05cLJwhvBUEy99/UiAO2sxMs1vSkCJqMFKKsurOJgqeNxOCzo8jSgMLFubkNeLbr6V1ciJuYBhBa04bJK5dyINjGw6NiQh/PrIz95OjvSG7LKamnAZ5EmSr0tlQpcooh/arrXLUwfzd+7LZgiJR3iuMrAlOgkL0pwXsMn9Ao1yDhAtPjagRIV5h9JlHtPQl1jCDcjRnfsMN05XhTLXWcFTDL8k6qNrWZGfFXfqYWvo0x9WLS9IzZjoBEHpET/7U0gDu/EJMnaRaIlQfVFuyfqderh7JCy59vy/WIMmIj+hvwtEwHtW03DXLeicIrgg7TAgDZGxNdJu8xBxNDRCVe0b9PRA1w5CVo33yJwToDkkm5J1rpMDDUIM9VOi3v4HImjdxarAOmz2cAVlh/TG/w/xzVVQKBdcTqttIn0ZXvFDIg5pZArhlyfLqgzfF5oofy7zlSovViI3f0V24p7RSloBx1Z0Mu/qiBiPNkl3aDqBsNVg5Nh7uYBPheWUh7kHoLUIrvQ9X9HlaUynhEf9PdWXxfjC+k1gWK6E7ICxZvzHJpiBk/liOtYmkGMuM+i8NBJ9wDv/nmBA/jJpwvLO/CYieabARE/b9EDg8NAC7N0BiXyfmHsP9M9/CjT7ssOuLydHiC4yweXMpgjkkmu7sNcrinQM+6NKycKHuKwIug93mvECq8e4gMXhI4njfHv8VC/zUn5my/+1RyFaSx6r8R3tZJLKKdk6R4uRZsli0nZPk5HCO5K5bWTVkIK7+7n1F0rcLaoYdP8JMO0BWageq+UfebhuL8vi3yjVjKIo2cpe4eyfMVANj7TQONJF4ucxVO7Jkzt9l2UaOorr86J9h7IensG7DiROjDeuIFvqygC3ZVOxDaPdIqmEg91PVQPPTZdhFJeHWHiTzdYVYEEAF7VP0LCy4qe2whnhXxOfU7xjAlUcni6Avg3ArvZTfZ8oRtvz1dKsVF+ekAPXKT0MKTeb7al8XbhkDN5jtCLS66YrYu3AtNlVdkYiyjDRLbylVjyXrG0jJt3DNQp3ShFOevtDXglrcZZfl7UTQ8VfyiJrGfod3dPX6GEeQmLnCmwX2usOacTxea/iEv4PP+td12LABhzd+d8zQgvbMS10Wt8u2MfjXu6phyjyZV1VXDQ2aan92J3/khRyF8Q74LlQij4NDclFIZdDiuu2m6T1cslOJBJBN3xZuDw69q6OqVm+v49Ek5vSlKGe+20I/0fn4gHhPRurB1QmGWeAjcPrVSaFBVzMzQWcKIDvTkg3m3mhfQmlIr+WVpYGD4CKBKp1AQ12frv9gt010ttlbrA3OXeLuQIOdxCA2sI1LIDmz2D/m+2UO1Wq6OaLPnQJ46qm+zwpDOy17auFd543kBKtHtRw/GrqYRiqSSLSvG7JO5zb7/YAeANeImS53ulk7NUTJBFJdW5nkspN1JhWpwK+XOaWC3mfKG/iq5G0OBt4KhLVcRDGZuubcj0yV3DnX6bHP9p+dvvdaCRKWGCu1Qve0DmY0OCzB36OCvsaRYVgg8XNikGEtNT41spi/DTmQeM6wUat08eUEiPTELUUqL/GzDVjsBbPyOilGTu6FIeK2ADZXTQi5r2K7wzGTQ95aB3cPffmDS0hBneGCZ4BjDjZ0Qfvrqi9wAUrs2XsZtb3boJfJvZB2dwOcsSCCsV1h2IjI9uSLSCbQUhtj9aGTuEVJa/S1dsTWq0U4DbycHaNaroa9R8NSr15j85DKwCjs0r44RWar6fWNEMpm4SlML6iaFNYeqol+Z/iKlD+sEpo8qP9/NVcRdgTNbEuAfNJUz/vU39oNaPKAC/ktaf2CEKSTh/ccvfDRb3PV3s7obwPNoEav6WUpg62i5baV6i2PmQ58ZNddCGYDZLmtLquq51/LSqAVhIdv1SDEzyyvTQ4IFvKatmFtY1YuaV4XljWMV/ybDObugT9wdifWvehYznG6rrAk8BHZd5r1wOGKDio3zvWXv7STumHptqAuo/x1oG29byMLyE6NrZ0J7laKqaLl1J0TTxU1Up0zBVIlHve45iFtzLOD6fEd3Su6oJ7bNJo3UYBcDLkU6bLLSVotZCNIgi6SAAxgAAXcswMk/V1MuwNGPDapLriB0eZD+cdDeHRCCEtTh/MIag+8zvKIOZEGpoHMTjgOSDnOY65Ga8pu05EJ3A1xfnPrKUTkk67XbgC5CmuOl7bAd+NBd2+Jk5Gb9zXmMLG6lczizQnAWAZSUOq6jpTRHkjHcAoXyWoDt0/gTckXFsZjeqY1bDCv7/orU82YZtp0BB+m5lqbRFTesWq3IJypTyO74a+VVEM5Kzh3T5GPbBKWg5ypKuJwljl9hN6uigz9bWk9AGg8Xf15U4GORvCZv0OcFhc2iraM1U7SYgGaMQQeX6bpNN9Ih6SxzaVC/jMPfOys7thjbxCrjgYUClwBPWzKJW61lHIZNEj0fgQT9cWvoikETaTd0gyUej1pSl6h3ryYO/k6suADb5qoPT7YT4ACHCKbdSKxbLpAIkLQBortxDFPiWWfM+Yr8e58G6g9I/OSJidBNv+6FKaVfU5xXdIaNuMezdcNxqqTfnMmDxnZKopJdqw1zwwbjoJPiXI/GXCGM7mYY3Aeg19/zqo5aUWhc21n+Y76PIGC7KnoayuPdNZWiNZ5Afmgfo3U9UA2WKJEYaQjmbS7UNVKcXMI0jRS5diUMo0mE+QP2OoPXKLrJ3u+EYBHmVPGLrRpDonzXdlxABzvPezRMaTcPlYodcs5SHSLFYhnXkeERPBkeDc6MPQLjLMIC72g1mrGwiZnX4kRZK/8zwjh2l8teKQvd+X1Lpt9mKoxqq0AWGN9itwlY5W2uw316lARWrGlpOkAwxyz+KWhzw5rLfBDiiW5Kuckt25Nin6dsdg1OzFbpvZCCsH2l+ozJC5xY3fQPFBa73q9nNL5Rn8WruEeIcrGhqzOeATh73WzhlDPtVqZPvIZsx1UHAC0P5FzlALw7pm1j6yRJhV1Iuh51D31VILg1iCh8/CkjJEeDz7a3ZjjbcmLMibsH2GFc8/oXZla6vJ8QzumBcCkoscA6UVhlo7b3hyp3oP6Gi+XHY6F+klozBrX23BQ6lizB+a3GZKdUFmc6dMFxHUmNjNWYqZ+1A1/he4xs1BK7ztB3BemCsDLZ9ziEM8P8rAs1KNZJieu2+diOuKJOuvs9kPTAf3zm8NzoPgarID7g09xOusU6U1Jy9o+fR0M6Qh+TtHKPKa3FoC1fOrSuv6bxuoOs8+GVI9fCAi/iRxoFezJuyKSl0gDARPEf7ekaoU90MBk+Pcs6lWKVgJOZJTKDR+54ec8nydoEv0l+8YFOVQFGhS1+FibAFC0an3ug/P07Hy4S5GQtmDsu/0yDFt/CFSuB1adAMd8aQn59O0FJJ+fC0On4yUGpAkvhMGQdDPTE+95dRu7iiwY5+qS7lqTEzaQt+H2i2RufWEQ1eRffrSu6t0sUceZwmvbIaZNIDPeUXZpfCjZT09kykbSr/V42+sSCGmdCQ+ClPauWiJVBzix7GqYwXl3ccbwQkX4FOtrtdbTH5E9pKgQVTRTXC6nTfq+HBCZhL2sDbKyOFkEASDwmSBZbIN9s0605mYbin8BE+ELG/9d5VRfqwH4f+/ByQjn78NaKGh5AugLIIOzoQ0HuOI7H3DSo+l4/J0u1B7aDznKRsbb5OddTBxaLh+xfEj6og1Zw3EZ9eTkacwOlu9f/jCQC+UmLr5xT5mZKWsMd1b3hZqteLOFIsjznjst2bRPnenqv2a9a/n6SulZgno4yiGlbUGyW9DKjDJpz5NVrDJOxBP5jahxkVDR/6FTxOWMzc8rNsSPnLTTf5yOHvtkTo+TzBYnMyZMI7oEtc+uRjeA3Fz1p8aZ9F1N9mNX8FcVNktms6T0iZSByBTK4keamf93QtkRVNLUH+B0ME4abeD8yUQMQswVPaEAJ0e3gHqVWeFoXLBy1RNA+Onzn8naoj+cgzmCV+GKq3BYYQA4LBVx8ymVCnymEmcJALbNamdRthwdxJrq/7U/lC1vfGMi8TupUTlEO8zslzfznW9rsgJuQOHIKaHXZURWzBpe4H6EoNyJ7ns0l6CUbjU9sOMMjgRJivS3YDHYRvA9c+SIQptXshSwaR/uHQqm585IVApBvyzDB5aOFsrvrYWw5oYvSXcCB/woXC/Nr17LJQR8MbzBObxxuBrEQEhvNEzWpD+cktDQzp89x0QNozxswrMH5Xa7HdH9qPGUMsr9GzQ3O4J2WiP6x4QBLnsYzv6yDEcizIQCWUlxGUZRhu38Dz8gQ9oErqwNxX+hN1Hz8sKUEeCLeIrVIlheSZ/o+HB8Y247iInU0bPGu7HDkOA+WWYBa9YVgQXrIn/u0Abjd7XUh5tJkWtIaKKEFJ30+w2B4Qzzf1LZ9rg8OIpMURUivT4ZcezDGgaPHGqubA949rw8z3Sx2Es+jb+Cgbp3Ia+116r2kjGCz1bYCAZPveySHp2S2YbsDXCLx/yvZTghmsXU/vwwP97zhTDlTxkqLM+PjfOS2aon/GhM4tIMsK2Q1jMUuJULK/kiXLnXlL4ZymGl8bQ09GpqMZhdaxTzuEMsFYsDLAHq0PerHnAFCJyVAtOkeTklaQsetXRjh8R4DOh9alaayjFdU9kZVUOt58eaT6jBvdPnlQ4ve03mUB5QIGGk72sZWCpWpqCTffbpTzExWhM6ialokArXCwUc9a+CBFsZkSZ/6X06aB7KZbX0NgnhDwkD7K7GHt06gHUEJAO0sC8gIJt8NGErYkVKTsKTQWbMRNARoL8jjd1Yiv9m6up/W8kqHZrDsVtCEUxiSllorACLohPDmGT//s0FR9OdgbfJTebj2ziQcNpXfthRRZVoVl6OeadimQDn70tmdc+r+0PATJplzRCSSkHTRopjGDCu+rT3lULloVsK9MXPjJGoZz/jK4gUNeWGsPmhZVZLNJ9p5adKWSGPB1FSmP8EDrW0oUbbWn541JJXLYQQDI5Ql+mO0IN44dSgU7n08T9w5h7rM+e+s/fG1R7IkWuBdKfU9+3rMcbmZ5cUiQtGc16Wlvj68mVIYGSxD6H+Nd9+HJeVL4K1Rkd1oFZHlKxkYrbYHNLg94x/yar7zsxnn6dkXfdQTd6LGusuMKsVTg2cQ1U8KAc4YJ+WzttSIZeiPuotRH1u3Eogaea3rgW1Aejsyix5CVzgSMtvhCzlFS9xhLkKbEgXmzYNZPrKuZ1eejkEKQvGaCyFcJLbvP1zo3FfnHNKLI5ETvy8P953oYOTsUi53NwMRQFWC+OXWtkaS01W/Mcg4UGSXTszK0t2a6uDo4M47wcnEgMlAWqBXMKM3WjeksYJpqlC8bgrdjfsq5yu7Ib2KqMpGZCjj5/y/aTW0CZ2sl4U5ico3K248j0zRd1Wet9dRQZkUOIq5SMabWd++ArLxYHCaNFng9IsF4OaLK7reBm5NKPv+hA6P39qb7o4desvw+FBkXFT1ugTs1wDcElqGAKAIk1CD9BAz6FjsBZPUtZFDCYjT3en9npNbNuclh1EwlC6fyK/UuqingqQLW06zu/wp4MqDYZIoXwFxW08ptFH4apHeJYNCzm5m8e06SrJrBThFxQ28uoC9rTaVmY/Bp/8ZJU1pf4gZXujKVz3HC6/Sp1IdeMXpxL5XYxp/ENNWbqYYuHZz6nddrfgmjkSfsEvooDJ9emPOpBqqvRJE3gIcdJXUEJDOuDpb2Lv+SG5xX/KG2wIq6p6c9jOV6c5FRPbXtVGYmefxM1m+STgIXvYXAsnO8JXml8SPHDIGU20QJl8haRIRIcAOOFeWgpOcmtQqnNoj17n7B4rwe3jzDsfmiewSEWSAZKC9BsuaBM+aRJeh1wOKGBt6hL5CZIBxYQME6d9A+mcjl0b6k1F1Urd80LpscXXx6fFFH3Xtm+4cawbUiICJxH8GN4w3etn9Dl3J6JAahqFChaoF5BQyD8TumP6tbijH+M8kOHGb2gFxF1J4hsiGCAPnivB0drDab0MXhsyyvrDmUV+xSOvLvJyzFgZl3zSg4XI3qSAo4k4M4fyEBa4K7gR4Nci0HG/CvRWolRGncHKwcNznV/KjDdZpWQwGbsNUkuzqfXUG7x6FFykGOjzbnaK4p1QGMxCnvmaH1NYFrsA3yDRL1M9YRAjHOyc+NI8529ovLd7WDvitUQnAWXbWLezSCrKPt5lwuVsJgcCHjS2VQcLIkO8/0bLN2g15Dw8xSFa0wybiKI1BbhvIdFpX4p9lsWAnJKyAvbwOkKlgcFFvU8h2dTbMSS8QvLG+rzysfjGee16KjNMnN0XZMzJy7+T/I/R8w6XC31HPcmgFxL5Quh6/3Sw5LkV+iF24R+ZxMMHs6JnfbREhftEdvV+fZ8s2jHX7qQUCByxU5rh2Ehu42qNq0ERI4jFVwAvG1msJJAZTvnh2g30pXDaZNz2KwWPvfE/B1V1j9ovMEOMGRLyNn/jExP1tw3joUwzVe4mDO/uij0FafHssbCSAHMHRvvf4Di/j0qQimHAY3R0T3w53g4k9ISUe5L5YAADpFo9UoIcuGboMMU/iS5Eqo4wiKxFl/lGCEBT8+E4ZYEc+iET2PdWwrewZ4KQ7q+9VrZw9Jtgf8ED493m7RDy0Zzg2hOUS/CTtiVagRrN7MW9WFCNnDn4u7LM95U6li5sq0n4gqGj9MPQcnx/wM4RpvnwZ9phBjgUdISup6LKrJI3GXtsTpNFurEhDaFpEa2VXFVpnqlMzfktouF+LQELKSDApAZqcypu2qpX6UwhsDNco5ZImNEzWBKYc3xMoAAAWu6geyCxzN9fYquVxNjI4C0MWode0xI9O9lQQPg0MkvyekMbKIR5Nu1BOWe0wSrn+xPp7TWyXmR+3OZkx2tW+NIMRjB/PdGfrqriV10/7y5D66lpB6tIgpRpW7H3ndeb5uQi0RVjCUngTmnM5AT2spLO34RJptTgZgund3VNeOruVPPhuSFrRGF7s004qCmwWJENh89MkNCCcGNlthjFFXGBTY3jnLc4N1nbgzk27LAjb1rkIBqEXs/gxJBOOYsR0Z5coDZhqG1CWc73f3iedoTrh7U/KA26aGdhRuRRZXNjxZMp+KTC1nnSK75GAf3FlJiMmj2DU03sKN5S17q1gTDaU0brvovH0XlukkzeJ7F+l9zZkQIIk0qexsFKnmFbrtuiDKf3ZMFHgwhSNUudoWALXMdei0DaQ5vpflwA8qECZfOLoBmoGodNROr2l7Ie/wwNEdUTFBo7H4MbXMeVXSAfIeT4x/gjaBwyRltLHG7VQ40Y+KeIieHpdcc/hMpWqY+8e6AnTt2Pps1kSZ0cQocZGeZLiQtHGgXWf/Tw1X9rrDTkl+pOxmR111K1RwWnybSLTvfNxy0z/4z90LJJrm1VxACAwSgH4p49BAsobJtcTgiLd8jCxQ0za1rR+RWH2u3QDq7Ze9T7U7Ohv/jHkyQ68L/Sn/3tFOSEu1O1XCycHV69ywvgrdU4Isk7f2P4RXCGm0VU1OcA08t0ZJzlYOA2L8kE9z/57rwc6Yyuq7+4GELQM/JqqUVWXJuYkhHUnuFkVzM3qgJFVfaTONS5/76tQwUvYzYfugR/QFhgtD4hjrVCqF3dO6601eDZDuZP0lWcFkJA6IniL7hsZw6huswZUtJ0UWGGg3BehjkN6fSY8MQRx5DJW23EJc+0iX8h/7PTrBoNDGlXESR2SEmm08s69yZudd4/Udg512DboV1RlLZMpbFQfNKqqLM1WNMcpWpiT1aHtqCTMMQ/DaoKIKuVxWTYiREzVTAZWh4t8gJ8zazi6NC6DH2tKS6bdg9VJgvNqAs0D9kJJJiYws3lyTVof/tM3opdvfmZlIwVOwfmLZjw3UqvOWrcb1/CSD9aKCdzYpAz6PilP8ViparZ66ri0y0PmMdClKHC4GolrkBbYXQuG9ZA7zpH1E1UhLVI54JRHJcaKeeiP2fDc4Yvhyd1Fnmi5DWuzPY2xfpjznC2JMVLJuP8w5IGClbQLXo5nElO7qktqSyI7FHeKSzCdQQulCCCAt05jd1XKkVjMbWsNT7qo7OGDpw1mb7bnJEVz/2cq3QoyTJplp44ROMKfFFsMu6g8+cbfh0ii8mDAol50GhntC15eB+LJYK4zG5zJPz1lTAzebrcqsz5vLG3KJDMeBXy5rMKUSz4li8JpUB5xxOqlBaYDWH1OILgOBERvRvSmZJZunlz58pijXSVxAxJdtpoaBUgQQ4+p6ZF0i9kVtsNSq/yLhoCvf7ku7JSFUolqQiBoRDhFnNXqzyVH0n/p4J3q75bvGIAm7fzi/kSX7zDBCiJUIwJSa44WFJfJ67J+nx+6XN9jNxj1UcAasUPcentU8qAEHiL8oGUY4/RbFXbiD3aO/Nk3Unkfh/fj34GxSeDY7uo4R9HML0mZbvCBBjquPWnREpg/4uF8usAfqCcIazKg0kAcaGAtdy+ZNoXLxGsiBAlngtYIaomQ4dpeoYlPJ9JaVvhqr2qOcU9fS5UHc9amp9+JD5rC23vqQL4uH531v904KyS+UTKU5S2Fa8CN9iTrAeKwd7nz0as75lpVv8KR1cQbfnzRrTcvr3J2mtzD8ParC15kIV+ow65Lr5kaVN3+99QJcYXyF05Yj+A7MWKaBZzF1KgWU7VVcE6DveT1EXREBvqyJN1x31AodEgahNdaziUklcY46gQ5mGz1lwd5DFQu3aDPx6UlOzXoQJDXUkXgnMOkX1uXxoXfI2bbcjbUH36EXHRkhOIEvHj0Se7r+0Wn7Qjq9lS3B2i29jv0nclmJEyseRWiWCGp2pxzn5QhlC+DyhTJoT+QvYs1JLbs7HwGPNg0lNfe7iTlD/flbz+ni+QAMl2kA9FcJ03wUxw+xZVbhmkZxQyyyR9Ggjuq11L4tmDyYcuiHlVdj8bKYIiZ0ITn5URN9wQ7OlPAHX4ctutc115glt5rBxuvCQzVAPOBlFxSprfJe08PR+Cv1BctH1cXnCEY+D8wqeiKm4RgOezDTcNzKTR7PhLBPuDcNiNCIIcyyqhRtRusWdW3LqwczUdK+rCwHO43nAlXvOhEjpUY3JnPEqvx0ylWSakuQLDzjhFN5X6PdU/KoeKKE0SreDYGOHEG96pHKDmUkn+tyzTrPHG2Lkrm0/c1EyAqQB/jf3Zit9Ppq7kUkA/e6AQyGgi+eEcl4lMndNgLd9EYedLegbgiD8qLMa3iuQGOKXvdWm4QM2d2UesxKlUt7zKAeWAHbUWG+sG6/B1dQgfJBDEiVhS/YEMpWFo7kEiA2n7hlcAD4Tnl/loB/kVPIIAD06gI/GgachQjoUhcvSYciPWcZCBGBSp/lSPTfk8oCFSa3IiZJH7BH7iqYyijbnjuvmF22VmvEa5m0YgAdUwacYTC0OB9U+DQ+OpRH6tJypY4rxz9RxkPkbNTsRGs53rpiKBo6GPiX+gnQYxG89dw9jmtobVmoV3gWp/1s/Iz+bCeVGxyoT203FY8KnPeJcKmo4FsoNfYryuT9+cnOoQkkGO1H90wPZ4FkR/zZ3UwQVgQ65it7ZWZ/bC5wWjFYyVTxm4om+uhBq7PHYKT1wO1BVO/vBzDANPXRCef7VhfjIowTBuzHLoNIKAYtB6bXWfh1jfO+CHTpOk5H5p1asQNX1osqsX6r+6jFni56ZkDY7SRXV26KYW8hAme/mJBensM39P1P2fdTv3RDYcpTdpI3HEIzyMRTMWPbPSErRj+ndzIG/VwWksfUdnxjshv1wtBtUHIbrOpCZT/RA99Ua2YmvLBjq9zJbTd0WavyEnMNPD5qXZtbcVCwRo4lx+Ikn1SUs//fwZndZMLJLCPq/y3DWNbeLMgAD9m/rtWY5le1VT/RpRXNW7k0gKycuET2xLuCkgMA61TXYNbVndz7+oIvnJGrMPkNKZIaEIAbPtjFHABoQbO7IdJjZVW/3fVCcAtJDQ3Kup39PM5e8iN+YX8evCIuK3KDQOzDvx7NfZudlhmoYLubgmRvld8KpHmgkQbihzTFVQ0tZuCoY21WgMPgYmJoqcWdKCzNZcvGwC8IzVN6bhyVMlgiUhTp+KQez+rUv3H29d6wqKSgrrn92hT+5xByNFoW8zO5lE4XUAs2Xb+77+oiBvTC5ZIYWfQrPfuRdS9Y9rwhHKDxhUuqalxxQSE6xo9RFiIaUEPhtVcWjGaHTplfciPEAd6bUFLUPKW3RbFEIRfiDx5F/rFTlJ7YD2Fd4x6rCs7lD93HEqdjcF+VtO7VwjiUL5+uBI5iKJALVwKVolQmHC6MvnPNErftQFFal+4ag6kHurkfAoFy55phCGpNFh0lUQoPk/8sMiqMXeYlGffijyZtHioWx9s7YwpYBJ1DaNltoDcGiqeCnZ/C+JHa8B36M6XH+GI5NwivBva1zVv5xuDDEfeClZ+6obnp3ELj+MKvOV2vim+4it2p0XDFGSDZ6Ml9OLyDVJQmNfkEktovHnfHSfHsSUTlt3ZfCt68momeq9z3ceh0xGcyYIX2+AFhBHaOGdJDefxaowc58InmMzyiSq6I5vXzXaSoCIwFolLhq3rjOKgNYpZX1JMe1CxIE1zLv1zdRqjR4ZoZlXorhOFMZtWPR2+PFIZvRcO8shKIpl11/QVFRK/SNono/Rrbs6Db2l7ZIWZ2OiDbpQvi8OD4uUbcUtyVq1ENvu24pDHAyNhF4g90LP+ml7xMO73+6768w3WXF16k6q/zxkrk+svLvO+7KZWcq0D/cfYFALV820QNELliE4/hGRzBHjKf4CoJM/GzZPTXIPffR76rr8ZW4uS/L9ymBn9y4VFOJEUttFiiICkNceY/UmXq+eCuJcHGhmqWo8S3k8abvRyjOm8x+R396xZblIh4b+lswlfog4n0Krim8ibuL8pFeSLoVDYyg7MoSw8ikoVjgzV5Tm9qyyWddTCslOvPOybeW1iiicnHicVePcSiOAaW0F9GEikecX4Ugc3tzN8ag05vCMVcpM3rDU6wdnKqQCQ33uZvj3KHmhD+CpHwtH5l82XCTQOEJ9d3qKj0ZXMl7LF5ZWrxM1R3NDPjANr8ukj9vGb/KllDSGTIBK+/ttAKcvLbkyeogPMwpwcTP9z7rNqLqRvYFhPRwgRh5694jEdNIrzaealR8VWqJb8JQdsfBGRY1+tLHZHQD/txkFg6+LZN2b4JXhMGLCnsT7d19Dkd2YlPIhuF5p0Yp9Lbxv/j6kaMkCOLoDIxzFL49BNZtpNW5H+bTjjyPsWD+wWBDoX0jLAn3ejxd77SvRLIowkNgoPFJ286c78cKvlnwbSzF4+AmoxTq1+AGOCQDj+EJVGz3BLCDEamGcoTtSWgZDe6qDW8nqvhygEBJDXVUFWP+DGzQ/kTgBn7OYdmPIgE44Wso7KiiaKMylCqbE3rnioD0lEeShtNh3gBk5IY4scQjqyC+Tl/DGuj+zLaXPe/uWNO6EsEWoWjJTnn0OM/fo9ZekKuIvdCtJGaeuKodz6OCoON4Rw2dIf7A7ca5XZUHQPMaUfSvUXw0/V7BauB+HXYhj4aii1kB0HiEvEEmW618GbySiwO3jvF1PNRLljoRY0+IjbcLvqgmKNmQVWChQVGBQL+etn0nS04YvvOF4BNhZuU8iiiJOdE15gSWk+RuAGgkzMlke7jJEmK9dFdfn/davqF+3RpNe/T5u52pyNRXZfp9AR+hqD8q96fiAwfiSNSRKiGnXTf69Y7G59OG2zYD8uFW2HIG8khxAUhLBUhcXicqYv49JPg2ZcqDKNgMINevyoNn8sfDTgPxbdNbvs/nIV0QVjdC0kHH2GwjWfdWwCqWI1aw6uxfrzDMCHSFU+5b6R+F0LiOLA63HV8lkURbk+PnfGkRaJijhLo77CKfveamlfVgNBCMQUgT9Oh4U4RmVhb4F1fb87Lq3ujXoYpFAVv+FSwaIAgv7h83YFfGWdtJZQbxg4oH2k4uvZJbJncvIehcJz5+VlrX1TLuOyplfCboq4sus+uENXk/sBD4+36Yae8wTecfjFmYvckjBY36oWHQgjAtEyBMPM5ErN0/ICXVjj7Vr7bZ94OLnN19FC+DXwUlHIb7dUjdF11omd0a1XPz/JrPQQUXk6gWUSUcWvfu8xLgAIhJD+2jCV/86qQ+pbz+BiLvKrXkV5UNrH1ztcFeTfyNxMz1GHU/6CUtnKImJ0PV+x81M9N2kBLonyqZEgp8FThuUQrZKYoKTuZPzVAVv8comHumyzdkynQsfraTPgK+GGZYCCS2ZzT6iVpy39neB++HI6L4GUHlDK4ep64zzKB05TCIcTDsfIJFlop2QbBo/MSD+7Wegnneep8m9qQMeeMHHSFt0JvNbkWAKrFGox/gDJQmhb8va4S+q1026uTmImQpjp9fT31O6I9I6I498UeNXv/RH4sfTp/pVSw3qv8ojAejyV4jfvQoen8XaL7yUwnuXKB6I1UbATtZmBSrcwx24r/4M0+zx/TO1XguJw3q4WkCejV477GeVbXZ3VEJrinzMwZaAckZ3H6GOpyx8JDeCml0PoWhVVmOqt9fqfG6RIZnJ+kGzHat2iWvsjy7A1eRwFAwy5jHQCnVxlYhwRI5WZvQYpTw/iHi4Cg5pG5pVRPBeEbqfswG/yPA2rgFIpxUWbBLLd3ZXO4BVNAPyluDnipBJQyYEIGRYy89CjCkVKXYKH8+D+CafuuefvGD725SWZsGlYLJzkZ3Uthhu5vHZRaLgZlumvBsTXxoLxdEU0KkEz5N/etObslak01AdOAWdai4qsUrC31ZQOrFagW1KkQ/aqt1ZbT1pezwsbDMyeMRbASa6TbduKhqy4tDmSSwUzu3AaRFPEf2YPin+04tlp6cF4s6aRry820dGfDkT0YjuK2q+x9i5yTYPYHX/7qiniammghtlAnucIMntwBNcIZ/6WFfiTXiMMpfyhkFG0YOJU2d/1XMu3dIM6YWvdq6PbZho25SujS9T5kHZZCrGsbQ1gzyfv6JEZrVuqUQoGW+orxXaTcAGH+LrFIpY4IdeouCGhVKCJBAaklwnoyNdp4PyIz3yOUgokicQMw+TfHB3GL0+JgsfpJlzWN0RrEs+xrQCY0yP6SejnmZ7qIgNG+LgqtrS5GXzhBOOIim+k/rhycqSFb+nBdz2niqSlsE2DprhTCniDLeFU0Jd82Vmx3ZxjuJZTULt1aTNwkk4ckl9vgDGu0XasmMuMgeRcwUhx+2p+wVYnBa5qZG7wvBSKlvE25LTbIgJ/oD/7oQCDBqdimKHnnXskciSvqRxZuPDISZxEzpz+ytUOkb3/oAf0NyQwZmEIfC1NPNDxlth8YG9AkDbSl+iTljQqtXJGYcNCnp7oVd4pfbseCQniEE34YYiAkQVQgxohIDd/jZNog2Q6gcsDNsNRaVEYUfOTc0v0P02pyZiMsFh1P/cSVeJL4io7T3xLr9a8zL3uBDhEciYHTctvyZS9MxKlzA6UgHWea10IlKRBiuR2iPCyKqqWtBDzA16rFyo+HRERzeViLwXqLBG9CAwi7OYoOxXUHUh8N1jnCWgKrdbEPo51tOIJw/+LeKnqseaFHhZfQVl+RFkU0wFFwIBB5yOI5i47DFvhx/eltWLzqv5nfrae1OCDeIhZLRBqOjbH3MYqqgyu8Iu2Uh/B8gD+lJ1gM3cLUpuh7Uv3qBIatmC9YhhOMN4KSMUhFJ8c1QYVSToEyER84ydGhNMMV37pJaX7BY3a4MWp8hXGS/V9GeouAv3NPoJE5Jv06VEzaSDTf2QP43vZIO+lYAdU/lRf9EOPQMuF675jq4tov1mA8CFqqLSDgwizxSFjPgMdtEVreYbxdmJQwnJ7oEoaR9MTw2SY81Jg4/BMGzDA3/YmaUezCTI9M/YZ/IsBobOLLfDpR1EUkQrGP2WjUQQNCjKDta4jVibKxbwCS90BuwcBlT0XS4AWqJ52frnAHABJE5u/r4OzQx3/AmZTAWIcbYlL3wabv/8pVHnLNEWbnGWG+nHwDDwucizowy+ZFebBanmqUwWc8MMGdR5VmhtjNL0fMqfuma4otz046t9B5ZDuvwI2ta2cF+4/UdgsYQSi4RdC9XPptUgSEiE1zEdd0/DAa6zDJyCNnwYtCJCGZclgcNFWD/1tgK9Wkeeh9YqNuOHy50NqOs0e/fztbf4WZxPSau62bsziDZkO7+/yZuGi6Mmywc6infZQn55NUGe1r0MN8jtQv+k4bYWqU7r0HApqxUC6lQ7MiauSGJc47+EwitERmlcvgPgRaBdQZ+iScdyVSyA6C6+/CHa5vG6AFFLeKNDM7XPvacsZTHWNbD+E0bTcKR5J3Pieixe83yPeyZC3dE7V0Ja7cXZxsVDm5m58Kp/NRDg4DkD4n3597Zh8VJSHbeYSWlSNLeocd5tAhJN5LwbGx5DDXSvCAs9f38mzC+qApqCDt3MW97d+byvDPswTEimcREMeZ4M4XVPDfHheVjIKfLHb1OYJayiCjbglGACSaXFQNoe7HR2G0Uf4Xj0/x/mvQfLrF6xUu77613cAGoPzndeYF2Y+zsaH25Z5SzVQ0T4CIrfYTTDmRiIm938y9R2oGe7qetaWG8njZfArSe7jnwXhwCxqokxfG3ir3rpmCoB/YhMtDbG8RKXTd2Fr9v+OTL3lqOvUvkxgB"}],"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8d53b743-b7ab-43c7-9688-ea08dc4c6222","timestamp":"2026-10-17T23:25:58.480Z","request_id":"req_011Cg8fx85jJXseDfYPDZpzh","thinking_duration_ms":67322,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8fx8QpETPxJK7A3Cg7a","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01QskKFFTHNZQdAsy4RWzLxr","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\"; nvidia-smi -q -d CLOCK | head -40","description":"Show task API, autosave, GPU properties and clocks"},"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"07dbc61c-0c79-4678-8575-67c95c33e887","timestamp":"2026-10-17T23:25:58.486Z","request_id":"req_011Cg8fx85jJXseDfYPDZpzh"}
{"type":"system","subtype":"task_started","task_id":"bn3pniou2","run_id":"0mvd0z4fr-77c9e8e8","tool_use_id":"toolu_01QskKFFTHNZQdAsy4RWzLxr","description":"Show task API, autosave, GPU properties and clocks","is_backgrounded":false,"task_type":"local_bash","uuid":"5745c5f5-0714-42dc-8429-92eddd2db306","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bn3pniou2","run_id":"0mvd0z4fr-77c9e8e8","tool_use_id":"toolu_01QskKFFTHNZQdAsy4RWzLxr","status":"completed","output_file":"","summary":"Show task API, autosave, GPU properties and clocks","uuid":"5ee46894-3f7b-4732-8387-fcab879e14bf","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01QskKFFTHNZQdAsy4RWzLxr","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=48b78175-eb10-85c1-95d0-b2b46c42f47e, pci_bus_id=193, pci_device_id=0, pci_domain_id=0, L2_cache_size=126MB)\n148 132644864\n\n==============NVSMI LOG==============\n\nTimestamp                                              : Sat Oct 17 23:26:02 2026\nDriver Version                                         : 610.57.04 [Deprecated; will be removed in CUDA 14.0. Use KMD Version instead]\nCUDA Version                                           : 13.3 [Deprecated; will be removed in CUDA 14.0. Use CUDA UMD Version instead]\nKMD Version                                            : 610.57.04\nCUDA UMD Version                                       : 13.3\n\nAttached GPUs                                          : 1\nGPU 00000000:C1:00.0\n    Clocks\n        Graphics                                       : 120 MHz\n        SM                                             : 120 MHz\n        Memory                                         : 3996 MHz\n        Video                                          : 600 MHz\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\n        Video                                          : 1860 MHz\n    Max Customer Boost Clocks\n        Graphics                                       : 2032 MHz\n    SM Clock Samples\n        Duration                                       : N/A\n        Number of Samples                              : N/A\n        Max                                            : N/A\n        Min                                            : N/A\n        Avg                                            : N/A\n    Memory Clock Samples\n        Duration                                       : N/A\n        Number of Samples                              : N/A","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"20e4dc79-d093-44b7-b5a4-bb55b184ff42","timestamp":"2026-10-17T23:26:02.268Z","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=48b78175-eb10-85c1-95d0-b2b46c42f47e, pci_bus_id=193, pci_device_id=0, pci_domain_id=0, L2_cache_size=126MB)\n148 132644864\n\n==============NVSMI LOG==============\n\nTimestamp                                              : Sat Oct 17 23:26:02 2026\nDriver Version                                         : 610.57.04 [Deprecated; will be removed in CUDA 14.0. Use KMD Version instead]\nCUDA Version                                           : 13.3 [Deprecated; will be removed in CUDA 14.0. Use CUDA UMD Version instead]\nKMD Version                                            : 610.57.04\nCUDA UMD Version                                       : 13.3\n\nAttached GPUs                                          : 1\nGPU 00000000:C1:00.0\n    Clocks\n        Graphics                                       : 120 MHz\n        SM                                             : 120 MHz\n        Memory                                         : 3996 MHz\n        Video                                          : 600 MHz\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\n        Video                                          : 1860 MHz\n    Max Customer Boost Clocks\n        Graphics                                       : 2032 MHz\n    SM Clock Samples\n        Duration                                       : N/A\n        Number of Samples                              : N/A\n        Max                                            : N/A\n        Min                                            : N/A\n        Avg                                            : N/A\n    Memory Clock Samples\n        Duration                                       : N/A\n        Number of Samples                              : N/A","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01QskKFFTHNZQdAsy4RWzLxr","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":4,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"543e529c-0638-4d12-ae93-536c6d3a304b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":8,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a8b37686-7717-4a1d-b38b-50716f706df3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":12,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1875b634-7528-4caa-8c2a-0ff9ac188ef2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":15,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8af1d197-e224-4519-a08c-55f2d352f8c3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c3bf7291-7932-4cd7-b307-8172c0aea5e2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1462a748-b5f7-41fa-b7a1-68d1b8eb6a2f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":25,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0be9a118-2c89-4120-bfa0-63727e7376f8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":27,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"bd9e5a30-5bc7-48ba-b6b5-e3fdb7498958"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":28,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"38374f65-6620-48c3-8cef-3e5144920833"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":32,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"9b967bb5-0fed-4f86-a6b0-497bb24de09b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":35,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5e7f0c23-f506-4bd1-a790-8adad79be62b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":37,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"43c23790-fb37-4e50-b415-98a3dbe7779c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":41,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"112a5020-4d5e-47c8-a727-efec7afb6f43"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":45,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"2aece822-ca81-46ab-8130-d4ba22a229f1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":49,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"2aceec6a-ceb3-424b-aa5b-7542aabf3c7f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":56,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5ddac726-0b04-4ca9-b7da-a95e8bde2b94"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":57,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"4aa06d5a-b895-4897-b429-1a85d706a7b2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":59,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"15fbbc27-2853-4a8a-b569-6eefb7ad87f5"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":60,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b0d8e784-ddaa-4549-8bc9-3297efc3a685"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":67,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c7fdfcbe-21fd-49e8-8d57-99447c38c49c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":74,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"eef4b8d5-63d2-4ec9-a0a1-1d569e947c2a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":81,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d92f4b49-6044-4fe0-b140-d213b15ace46"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":86,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"63ffc158-e86a-4bbe-80c0-35569314c26d"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":91,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a9a00c9b-287e-4a7c-943e-2498969c37e2"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8g4F55xP1se51LoGRQg","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm sketching out the design for a split-attention forward kernel, planning the grid layout over splits and tiles, with query tiles packing two heads per block of 128 rows.\n\nThen I work through how query rows map to memory addresses given the [B, Sq, 16, 256] layout, trying to find a TMA-friendly way to load row pairs for adjacent heads — considering a 3D descriptor view of Q and running into the swizzle constraint that limits the inner box dimension to 128 bytes, meaning the load would need to be split across multiple TMA operations.\n\nSimpler approach: load Q directly with pointer arithmetic per program rather than fighting the TMA layout, since Triton will push it into shared memory automatically for the matmul, and this load only happens once relative to the KV loop cost. Then I turn to mapping K's row addresses for a given KV head across the N-tile range, using the same [B, Sk, 8, 256] flattened layout logic.\n\nFor K/V I'll create per-program descriptors offset by the head index with the appropriate strides, which requires device-side descriptor creation via the allocator rather than the host-side tool import. I need to check whether calling triton.set_allocator at module level with a torch-based allocator lambda is permitted here.\n\nThe allocator's torch.empty call happens per kernel launch to size the scratch for descriptors, which should be cheap given the caching allocator. Now I'm working out the row-to-address mapping for the Q tensor so the TMEM layout loads stay contiguous.\n\nFor the causal mask, I'm figuring out the key range per M-tile: positions up through a threshold are fully visible, a band is partially masked, and beyond that everything is masked, so each tile only needs to process a bounded KV range.\n\nI'm now working out how to split that KV range across multiple splits—computing block counts and checking that tiles have roughly balanced workloads so a uniform split count suffices—then weighing a persistent kernel approach against a straightforward grid layout sized to match the GPU's SM count.\n\nThat traffic estimate (~310MB, ~45us) seems too costly, though some of it might stay cached in L2. Switching to persistent stream-K with 148 CTAs cuts partial-write traffic down to roughly 23MB, but then the combine kernel needs to handle a variable number of segments per tile since different CTAs contribute partial outputs that must be merged correctly.\n\nI'm also realizing the tiles aren't uniform in block count due to the causal mask — the number of KV blocks per query tile depends on its position, so a simple equal-split-per-tile scheme won't divide evenly across 148 CTAs. I'm trying to find a cleaner splitting scheme that keeps the total segment count manageable.\n\nEach tile ends up with about 4.6 CTA segments covering it, and figuring out which CTAs touch which tile requires knowing cumulative block counts per tile, since block count per query block depends on causal masking. The tricky part is computing these cumulative offsets efficiently inside the kernel, since the number of blocks per (batch, head, mblock) varies and needs a running sum across mblocks.\n\nI'm considering whether to index partial results by local segment slot rather than global CTA index, letting each combine kernel just loop over its own tile's range, versus restructuring the work split to avoid variable segment counts altogether — though that restructuring seems messier than it's worth.\n\nSince tiles have nearly uniform block counts, I try a uniform-split scheme sized to fill waves of 148 programs evenly, but that balloons partial-result traffic to around 310MB, which is too costly unless I shrink precision. I also briefly consider running 2 CTAs per SM, but shared memory limits rule that out for head_dim=256, so I'll go with a persistent stream-K approach instead.\n\nEach CTA gets a contiguous slice of the total work units across tiles, computed via integer division of cumulative block counts, and walks through tiles processing KV blocks in order, applying masking only near the diagonal, and writing partial results to fp32 scratch buffers for O, M, and L whenever it crosses a tile boundary.\n\nFor reconstructing which CTA segment handles the first block of a given tile during the combine step, I need to invert the earlier assignment formula, working out that c_first(t) can be derived as a ceiling-based expression involving the tile's starting block index, total work, and the number of CTAs (148).\n\nI'm now reconsidering the slot indexing scheme itself — rather than trying to bound segments per tile with a formula that could break for small shapes, I'm thinking a simpler global ordering indexed by c+t might capture the monotonic structure of segments more robustly.\n\nI'm sketching the combine kernel's structure: a per-CTA outer loop over segments that loads each tile's Q, initializes accumulators, then runs an inner pipelined loop over the KV range before writing partial results. I'm now weighing whether Triton's pipelining handles this nested outer/inner loop pattern efficiently for persistent stream-K with tile switches inside the kernel.\n\nI'm also checking CTA-to-tile allocation math for the 32-tile case — comparing 160 CTAs, 128 CTAs, and stream-K splitting to see which minimizes idle SMs and wasted waves, concluding stream-K should balance work more evenly than fixed multiples.\n\nWorking through the per-block inner loop: computing Q@K^T into TMEM accumulators, then loading S scores from TMEM into registers across warps, checking how register pressure and warp lane assignments scale with block size and warp count.\n\nNext I'm computing row max, softmax probabilities, and row sums, then worrying about the cost of rescaling the accumulator — since acc lives in TMEM across 256 columns per row, applying the alpha correction factor means a full TMEM read-multiply-write cycle covering 256KB per tile, which could be a real bandwidth bottleneck unless TMEM throughput is high enough to absorb it.\n\nI'm estimating this rescale step eats about a third of the total floating-point work per block, so I'm considering FA4's conditional rescaling trick — only updating the running max and rescaling when the increase exceeds a log2 threshold like 8.0, since fp32's dynamic range tolerates values growing up to 256x before overflow becomes a concern. This means tracking a \"reference max\" that only updates when the new max meaningfully exceeds it, skipping the expensive rescale otherwise.\n\nThe catch is this threshold check is a CTA-wide reduction in Triton (comparing the max row-wise delta against TAU), which means it requires a shared-memory barrier rather than being a per-thread decision, so I need to think through how that synchronization interacts with the warp-level accumulation.\n\nAccuracy-wise, stale-max p values up to 256 are fine in bf16 since precision is magnitude-independent. In practice, rescaling happens rarely once row maxes stabilize, though outlier-heavy inputs could trigger it more often — but correctness still holds either way. Now I'm considering how the Triton compiler handles the accumulator living in TMEM versus registers when we write the dot-product update, since that affects whether the conditional rescale can be inserted cleanly.\n\nWithout warp specialization, Triton serializes MMA1→softmax→MMA2 per iteration, but with pipelining the Blackwell compiler can defer MMA waits and overlap async tcgen05 MMAs across iterations—recalling the tutorial's warp_specialize=True path performed notably better. I'm trying to recall the exact structure of the Blackwell FA kernel from the Triton tutorials.\n\nStill writing kernel indexing logic...\n\nAdding more kernel stages...\n\nWriting inner attention loop function...\n\nStill writing attention kernel loop...\n\nStill scaling accumulator halves...\n\nAfter finishing the loop, I update the running max and sum, then advance the k/v offsets for the next block. I'm also recalling that Blackwell configs typically use BLOCK_M/N=128 with warp specialization, and there's a newer \"data partitioning\" variant that splits a 256-wide Q tile into two 128 halves for ping-pong softmax across separate warpgroups.\n\nFor hd256 on Blackwell specifically, I'm working through whether Triton's warp specialization handles this well, and mapping out shared memory budget constraints — Q, K, and V tiles plus P storage have to fit within roughly 227KB of dynamic SMEM, which is tight with BN=128 and forces me to consider BN=64 instead.\n\nWith BN=64, TMEM usage for S and O buffers stays well within bounds, but I'm now questioning whether the MMA throughput suffers at N=64 compared to the more efficient N=128/256 cases, trying to work out the actual FLOPs-per-clock rate for tcgen05 at this tile size.\n\nWorking through the PV MMA cycle count and softmax cost next, tallying tensor core cycles against exp/MUFU and ALU overhead per block.\n\nWithout overlap I'm getting roughly 1700 clocks and ~60% efficiency, but with warp-specialized overlap between QK, softmax, and PV stages it should tighten to around 1024-1100 clocks, pushing efficiency above 90%. I'm now tracing the dependency chain across tiles—double-buffering S lets QK for the next tile run concurrently with softmax on the current one, and PV for the current tile overlaps with softmax on the next, so the tensor pipe can stay busy alternating between QK and PV across tile boundaries as long as softmax finishes in time to feed PV.\n\nThe tensor core's ~1024 clocks per block versus softmax's ~512-600 clocks means the tensor core is the real bottleneck, so near-peak throughput is achievable if the overlaps actually hold. The tricky part is the O rescale step, which sits on the TMEM accumulator between consecutive PV matmuls and stays on the critical path unless it's skipped or handled by a separate correction warpgroup, as FA4 does. Since I'm unsure how well the Triton compiler schedules this automatically without explicit control, I think the best move is to just write a tutorial-style kernel with warp specialization enabled and measure actual performance rather than reasoning further in the abstract.\n\nBefore committing to that though, I want to check whether L2 bandwidth rather than tensor cores could be the actual limiter — working through the math on key/value bytes moved per block versus tensor time per block, I get roughly 19.2 TB/s required at full MMA efficiency, or about 11.5 TB/s at a more realistic 60% efficiency, and I'm trying to recall whether B300's L2 bandwidth (extrapolating from Hopper's ~12 TB/s) can sustain that.\n\nIf L2 really is the bottleneck, the fix would be reducing L2 traffic by sharing K/V loads across a larger M tile within one CTA, though that runs into TMEM capacity limits with two S and O tiles. I'm also considering whether multicasting K/V loads across a CTA cluster could help instead.\n\nGiven time constraints, I decide to just move forward and write an initial attention kernel to measure actual performance before optimizing further. Starting the Triton kernel setup with memory allocation helpers...\n\nWriting split-attention kernel...\n\nFinding which mblock a given index falls into requires a scalar loop over block counts, which is fine since Triton handles scalar loops efficiently. I realize I should just precompute per-tile start offsets on the host using plain Python integer arithmetic, since that's not a torch op and is allowed outside the kernel.\n\nI'm reconsidering control flow — Triton supports break-free for-loops but also while-loops with tensor-scalar conditions, so I should restructure the tile-finding logic as a while loop rather than nested for/if blocks, since pipelining concerns might not apply cleanly to ifs nested inside loops.\n\nActually, maybe it's simpler to avoid uneven segment counts altogether: just treat every query tile as covering the full KV range in block units, letting fully-masked blocks above the diagonal be skipped as wasted work but counted uniformly for load balance, which avoids needing per-tile segment computation on the host.\n\nFor Sq=512 with 128-size KV blocks, the waste is under 1%, but for pure-prefill shapes where Sq=Sk is large, half the blocks get masked out, causing serious imbalance. Since hidden timed shapes likely resemble chunked prefill over long contexts rather than equal Sq/Sk, I'm leaning toward not worrying too much about that worst case.\n\nI'm now working through whether a simpler uniform-block-count scheme with skipping might suffice before trying a more precise cumulative load-balancing approach, computing per-tile ranges and intersections to figure out each CTA's actual workload segment.\n\nSince a scalar loop of at most 64 iterations per segment is cheap, I'm considering grouping work per (b, hk) by precomputing total blocks per group and then locating the mb index via a simple scan. I also need the combine kernel to identify which CTAs contributed to a given tile, working out the first and last CTA indices from the segment boundaries.\n\nI'm deriving a closed-form function to find the CTA index covering a given position using a ceiling-division formula, and checking that the intermediate products stay within int32 range for typical and large tile/CTA counts.\n\nI also need to handle degenerate cases where a CTA's range is empty for tiny shapes, since each tile still gets at least one segment from its owning CTA. For the partial reduction buffers, I'm sizing Op and Mp/Lp arrays based on NC plus the number of tiles, and now thinking about an optimization opportunity.\n\nFor the combine kernel, I'm designing it to loop over segments per tile, compute the running max and rescale the softmax denominators and outputs accordingly, then write the final bf16 output with the correct row mapping, parallelizing across tile, row-chunk, and depth-chunk dimensions to keep enough CTAs busy.\n\nI'm estimating combine's bandwidth cost: reading all segment outputs and writing the final result should take roughly 4us at peak bandwidth, plus a few microseconds of kernel launch overhead for the second kernel in the pipeline. I'm now considering whether fusing the combine step into the main kernel — having the last CTA to finish a tile perform the combine itself — could avoid that extra launch overhead.\n\nWriting kernel signature...\n\nStill writing kernel logic...\n\nSetting up tensor descriptors for K and V to loop over KV blocks, splitting the sequence range into unmasked and masked portions for the attention computation.\n\nI'm also double-checking that the batch/head offset arithmetic for pointer computation stays within safe integer bounds for larger batch and sequence sizes.\n\nThe TMA descriptor zero-fills out-of-bounds rows, which works out fine because the causal mask already guarantees OOB keys get excluded, and OOB V rows pair with zero probability weights -- though I want to be careful about potential NaN issues there.\n\nOne alternative is creating a single descriptor over the full K reshaped across batch and head dimensions, indexing per-block rather than recreating descriptors inside the loop. That still works since reads past a batch's Sk would just pull into the next batch's data, but causal masking excludes those positions anyway, and V contributes zero there too.\n\nNow I'm sketching the main loop body that loads the key block and computes the dot product with Q.\n\nStill writing attention loop...\n\nLet me check register pressure: with D=256, the accumulator is [128, 256] fp32, and I need to think about whether that stays in registers across 4 warps without needing TMEM promotion.\n\nWith num_warps=8 that brings register usage down to a manageable level, and the Blackwell backend should keep the accumulator in TMEM so the scale-and-add becomes a TMEM load/multiply/store. I should just write it and benchmark several configs with a quick script timing a single shape, while also handling the edge case where a fully masked row produces NaN from -inf minus -inf when all keys in a block are invisible.\n\nThis can actually happen since a segment can start anywhere, including at a diagonal block where padding rows or small query positions see none of the keys — so I need the m_safe guard in the masked loop, and in the combine step I need to properly handle a segment with l=0 and m=-inf.\n\nBut every valid row (qpos < Sq) always sees key 0 in the first segment, so that edge case only affects unstored padding rows, which is fine. I'm also wary of replacing -inf with a large finite negative number for masking, since that could make exp2(0)=1 for masked entries — wrong.\n\nI should apply the mask after scaling by qk_scale, setting masked positions to -1e30 rather than masking before scaling, to keep things numerically clean. I'll save the stale-max rescaling trick for later and move on to actually writing the implementation and a benchmark harness, keeping scratch work in a dev folder and the final version in solution.py.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1059,"cache_read_input_tokens":41700,"cache_creation":{"ephemeral_5m_input_tokens":1059,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"951a07e3-76b3-4ac9-a526-09befeea957c","timestamp":"2026-10-17T23:29:10.020Z","request_id":"req_011Cg8g4EjVKxg2Xhh2MZXCZ","thinking_duration_ms":176222,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01R36riurWxyx1jKHKtEwpKB","type":"tool_result","content":"3279:class range(base_value):\n3280-    \"\"\"\n3281-    Iterator that counts upward forever.\n3282-\n3283-    .. highlight:: python\n3284-    .. code-block:: python\n3285-\n3286-        @triton.jit\n3287-        def kernel(...):\n3288-            for i in tl.range(10, num_stages=3):\n3289-                ...\n3290-    :note: This is a special iterator used to implement similar semantics to Python's :code:`range` in the context of\n3291-        :code:`triton.jit` functions. In addition, it allows user to pass extra attributes to the compiler.\n3292-    :param arg1: the start value.\n3293-    :param arg2: the end value.\n3294-    :param step: the step value.\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).\n3297-\n3298-        Note this is subtly different than passing :code:`num_stages` as a\n3299-        kernel argument.  The kernel argument only pipelines loads that feed\n3300-        into :code:`dot` operations, while this attribute tries to pipeline most\n3301-        (though not all) loads in this loop.\n3302-    :param loop_unroll_factor: Tells the Triton IR level loop unroller how many\n3303-        times to unroll a for loop that this range is used with. Less than 2 for\n3304-        this value implies no unrolling.\n3305-    :param disallow_acc_multi_buffer: If true, prevent the accumulator of the dot\n3306-        operation in the loop to be multi-buffered, if applicable.\n3307-    :param flatten: automatically flatten the loop nest starting at this loop to\n3308-        create a single flattened loop. The compiler will try to pipeline the\n3309-        flattened loop which can avoid stage stalling.\n3310-    :param warp_specialize: Enable automatic warp specialization on the loop.\n3311-        The compiler will attempt to partition memory, MMA, and vector\n3312-        operations in the loop into separate async partitions. This will\n3313-        increase the total number of warps required by the kernel.\n3314-    :param disable_licm: Tells the compiler it shouldn't hoist loop invariant\n3315-        code outside the loop. This is often useful to avoid creating long liveranges\n3316-        within a loop.\n3317-\n3318-        Note that warp specialization is only supported on Blackwell GPUs and\n3319-        only works on simple matmul loops. Support for arbitrary loops will be\n3320-        expanded over time.\n3321-    \"\"\"\n3322-\n3323-    def __init__(self, arg1, arg2=None, step=None, num_stages=None, loop_unroll_factor=None,\n3324-                 disallow_acc_multi_buffer=False, flatten=False, warp_specialize=False, disable_licm=False):\n3325-        if step is None:\n3326-            self.step = constexpr(1)\n3327-        else:\n3328-            self.step = step\n3329-        if arg2 is None:\n3330-            self.start = constexpr(0)\n3331-            self.end = arg1\n3332-        else:\n3333-            self.start = arg1\n3334-            self.end = arg2\n3335-        self.num_stages = num_stages\n3336-        self.loop_unroll_factor = loop_unroll_factor\n3337-        self.disallow_acc_multi_buffer = disallow_acc_multi_buffer\n3338-        self.flatten = flatten\n3339-        self.warp_specialize = warp_specialize\n3340-        self.disable_licm = disable_licm\n3341-\n3342-    def __iter__(self):\n3343-        raise RuntimeError(\"tl.range can only be used in @triton.jit'd functions\")\n3344-\n3345-    def __next__(self):\n3346-        raise RuntimeError(\"tl.range can only be used in @triton.jit'd functions\")\n3347-\n3348-\n3349-class condition(base_value):","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"862d40ee-a394-4865-ae70-ff454de961fa","timestamp":"2026-10-17T23:29:15.248Z","tool_use_result":{"stdout":"3279:class range(base_value):\n3280-    \"\"\"\n3281-    Iterator that counts upward forever.\n3282-\n3283-    .. highlight:: python\n3284-    .. code-block:: python\n3285-\n3286-        @triton.jit\n3287-        def kernel(...):\n3288-            for i in tl.range(10, num_stages=3):\n3289-                ...\n3290-    :note: This is a special iterator used to implement similar semantics to Python's :code:`range` in the context of\n3291-        :code:`triton.jit` functions. In addition, it allows user to pass extra attributes to the compiler.\n3292-    :param arg1: the start value.\n3293-    :param arg2: the end value.\n3294-    :param step: the step value.\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).\n3297-\n3298-        Note this is subtly different than passing :code:`num_stages` as a\n3299-        kernel argument.  The kernel argument only pipelines loads that feed\n3300-        into :code:`dot` operations, while this attribute tries to pipeline most\n3301-        (though not all) loads in this loop.\n3302-    :param loop_unroll_factor: Tells the Triton IR level loop unroller how many\n3303-        times to unroll a for loop that this range is used with. Less than 2 for\n3304-        this value implies no unrolling.\n3305-    :param disallow_acc_multi_buffer: If true, prevent the accumulator of the dot\n3306-        operation in the loop to be multi-buffered, if applicable.\n3307-    :param flatten: automatically flatten the loop nest starting at this loop to\n3308-        create a single flattened loop. The compiler will try to pipeline the\n3309-        flattened loop which can avoid stage stalling.\n3310-    :param warp_specialize: Enable automatic warp specialization on the loop.\n3311-        The compiler will attempt to partition memory, MMA, and vector\n3312-        operations in the loop into separate async partitions. This will\n3313-        increase the total number of warps required by the kernel.\n3314-    :param disable_licm: Tells the compiler it shouldn't hoist loop invariant\n3315-        code outside the loop. This is often useful to avoid creating long liveranges\n3316-        within a loop.\n3317-\n3318-        Note that warp specialization is only supported on Blackwell GPUs and\n3319-        only works on simple matmul loops. Support for arbitrary loops will be\n3320-        expanded over time.\n3321-    \"\"\"\n3322-\n3323-    def __init__(self, arg1, arg2=None, step=None, num_stages=None, loop_unroll_factor=None,\n3324-                 disallow_acc_multi_buffer=False, flatten=False, warp_specialize=False, disable_licm=False):\n3325-        if step is None:\n3326-            self.step = constexpr(1)\n3327-        else:\n3328-            self.step = step\n3329-        if arg2 is None:\n3330-            self.start = constexpr(0)\n3331-            self.end = arg1\n3332-        else:\n3333-            self.start = arg1\n3334-            self.end = arg2\n3335-        self.num_stages = num_stages\n3336-        self.loop_unroll_factor = loop_unroll_factor\n3337-        self.disallow_acc_multi_buffer = disallow_acc_multi_buffer\n3338-        self.flatten = flatten\n3339-        self.warp_specialize = warp_specialize\n3340-        self.disable_licm = disable_licm\n3341-\n3342-    def __iter__(self):\n3343-        raise RuntimeError(\"tl.range can only be used in @triton.jit'd functions\")\n3344-\n3345-    def __next__(self):\n3346-        raise RuntimeError(\"tl.range can only be used in @triton.jit'd functions\")\n3347-\n3348-\n3349-class condition(base_value):","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01R36riurWxyx1jKHKtEwpKB","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gHj5S57id7ehYAXcxh","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'll set up a scratch workspace and write a first version of the kernel with configurable parameters, plus a benchmark script that times each shape and checks correctness against the reference implementation.\n\n","signature":"CAQSjwgKEAgSGAI4AUIIdGhpbmtpbmcSDGNFc/tZS2NaT90CHBoM1S20KYg8dQRTAZWjIjBhy41sZvVwI2g35pSVqzpATBJZ4W2uYYSiNpew1f81FbOuN1Lq8hp/yvOsBckKLHoqrAdHKnv5QYzOQhTB2EC07iUAmP3nR7pNiQ3GDfxC1t4Og4cAY2cfnPo6SVrSpDinwJs5ecty6JXGRTXWDP79MQsP7jHubB2F5WFcd4dFVIL7Ju48jslgm43/YRF4/oPEdFHdHZeeVsy0IQ+bAigWit1rells4ePPTrHiLqRggs9chOrolZQGke0ipvOzLLoZr2T2qVR4/8UFeBGQFvfFnh77SxfcrqOj8NoJi+ydwF5p9CN3YhJUiWBAz4s/Y9qkZUkguKXQW1wAVJ+W0L4lbVjWfUZ11V4JBSEbButxOZ+WCETxYlKBae8PvAEQ2DGq4m5iIkh22uKuuzA5JC7qo+QsLhtCwaAJ/O3v1GroN4IyaLdLvT+4xaGiaLRWw+5BIYuWUpXXg8BwKlqeW6CQrO3Mo7a2ja+UpEd80x2g/TwbfYtkpruBwK1aFWUALFI/6dCiQ1niK7oIDIehGYNMd5thgGdJrXkzleQHYQKFGSJ9sxmn57OSGOd+v4aefqNgxCfx/6cshiBOeL8B7psyEiVE8RyU/BWQTV3eArz6FOz4D2786d96fOy0Oj+wbvM8/FmRP0+JOTDtlfT/19Ou656l3vIOP92xkK2aLkEv6Zt78Tn9OBkEUak8UW9OCy//m7qAUnnzQYGMX92rFB9f/qHz9rSqItDgNFcRNBH2rM4YoHGDvxyuVurr7r1rVRFMxNQkHPYN/JHgDNCEti7kRrGy9nC1lHS02c1/mXdzYPDlqtubSS4/lFg/anqFOQ6Yk4vHHJWKM7+SgXXc2Wnsm+tX0Xgdp8NTH7cb8AB7b3qzWM/FpjJ0gfUffv2EnwFD6xwVQOu+ZDW5z0LL5bWVD88GHGtaM4th3XVS/XicnortejnxvSpicgUpkriRDe/nqY6v111G+ZZbwI8LCpwdm5DG4MO73S/ToyDrRUvT32oyk7w5Pj81RtPlDlmJQ89YPAo+5I4aH0CJmLyqv4bczllDauol/50BebfD4AAqtGPdPVRt0Mv14y+FK0HoTuF5X52N2H6juwaFst6PO++VoICAZQfrjZdkFh3pYs5xCJbkfvr8/UYGYmS7cGlFN3V92mJ2nZKivcobe9FotNgUfVz68Omnq5iCkWGto5sckYjgLw4PPsUHXeluBT74ccXa5A8rNcOzTwOZ8EAZEoMS5ZoztRlOU1rWk7gnEMMgMD1wFfewjbsdyH+CIaYkHo/XT+PSC4wQUjLVXEg2BkVBYMPkTFYrv9Sjx7rFheq8GAE="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1541,"cache_read_input_tokens":63477,"cache_creation":{"ephemeral_5m_input_tokens":1541,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e6c194cb-9fe8-458e-9545-320b61662863","timestamp":"2026-10-17T23:29:20.751Z","request_id":"req_011Cg8gHihNBPfxnjiFzEQCH","thinking_duration_ms":4051,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gHj5S57id7ehYAXcxh","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The baseline hits ~60% of B300's peak BF16 throughput. I'll build a split-KV kernel that packs both query heads per KV head into one tile, balances KV work evenly across SMs, and combines partial results in a separate 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":1541,"cache_read_input_tokens":63477,"cache_creation":{"ephemeral_5m_input_tokens":1541,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"39f21bc6-4ec8-4407-ad51-e90c0f756182","timestamp":"2026-10-17T23:29:20.753Z","request_id":"req_011Cg8gHihNBPfxnjiFzEQCH","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gHj5S57id7ehYAXcxh","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01NCcDAtNndxf8MXK6MaXy1E","name":"Bash","input":{"command":"mkdir -p /workspace/dev && cat > /workspace/dev/v1.py << 'EOF'\nimport math\nimport torch\nimport triton\nimport triton.language as tl\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\nNEG = tl.constexpr(-1.0e30)\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, bpb, total, NC, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n               G: tl.constexpr, WS: tl.constexpr, STAGES: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    c = tl.program_id(0)\n    lo = (c.to(tl.int64) * total // NC).to(tl.int32)\n    hi = ((c + 1).to(tl.int64) * total // NC).to(tl.int32)\n    k_desc = tl.make_tensor_descriptor(K, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    p = lo\n    while p < hi:\n        bh = p // bpb\n        r = p - bh * bpb\n        mb = 0\n        cum = 0\n        nbm = tl.cdiv(tl.minimum(Sk, shift + BMQ), BN)\n        while cum + nbm <= r:\n            cum += nbm\n            mb += 1\n            nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n        j0 = r - cum\n        j1 = tl.minimum(nbm, j0 + (hi - p))\n        b = bh // HKV\n        hk = bh - b * HKV\n        t = bh * n_mblk + mb\n        # rows: r = g * BMQ + pos\n        qpos = mb * BMQ + rows % BMQ\n        g = rows // BMQ\n        q_ptr = Q + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n        q = tl.load(q_ptr, mask=(qpos < Sq)[:, None], other=0.0)\n        m_i = tl.full((BM,), NEG, tl.float32)\n        l_i = tl.zeros((BM,), tl.float32)\n        acc = tl.zeros((BM, D), tl.float32)\n        kv_row0 = b * Sk\n        # blocks fully visible for every row of the tile: (j+1)*BN - 1 <= shift + mb*BMQ\n        j_full = tl.minimum(tl.maximum((shift + mb * BMQ + 1) // BN, j0), j1)\n        for j in tl.range(j0, j_full, warp_specialize=WS, num_stages=STAGES):\n            k = k_desc.load([kv_row0 + j * BN, hk * D])\n            s = tl.dot(q, k.T)\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            s = s * qk_scale - m_new[:, None]\n            pr = tl.math.exp2(s)\n            alpha = tl.math.exp2(m_i - m_new)\n            l_ij = tl.sum(pr, 1)\n            acc = acc * alpha[:, None]\n            v = v_desc.load([kv_row0 + j * BN, hk * D])\n            acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n            l_i = l_i * alpha + l_ij\n            m_i = m_new\n        for j in range(j_full, j1):\n            k = k_desc.load([kv_row0 + j * BN, hk * D])\n            s = tl.dot(q, k.T) * qk_scale\n            cols = j * BN + rn\n            ok = cols[None, :] <= (shift + qpos)[:, None]\n            s = tl.where(ok, s, NEG)\n            m_new = tl.maximum(m_i, tl.max(s, 1))\n            pr = tl.math.exp2(s - m_new[:, None])\n            alpha = tl.math.exp2(m_i - m_new)\n            l_ij = tl.sum(pr, 1)\n            acc = acc * alpha[:, None]\n            v = v_desc.load([kv_row0 + j * BN, hk * D])\n            acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n            l_i = l_i * alpha + l_ij\n            m_i = m_new\n        slot = c + t\n        o_ptr = Op + (slot.to(tl.int64) * BM + rows)[:, None] * D + rd[None, :]\n        tl.store(o_ptr, acc)\n        tl.store(Mp + slot * BM + rows, m_i)\n        tl.store(Lp + slot * BM + rows, l_i)\n        p += j1 - j0\n\n\n@triton.jit\ndef _combine(Op, Mp, Lp, Out, Sq, shift, n_mblk, bpb, total, NC, Sk,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n             G: tl.constexpr, RB: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    t = tl.program_id(0)\n    rb = tl.program_id(1)\n    bh = t // n_mblk\n    mb = t - bh * n_mblk\n    # start of tile t in global block space\n    cum = 0\n    for i in range(0, mb):\n        cum += tl.cdiv(tl.minimum(Sk, shift + (i + 1) * BMQ), BN)\n    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    start = bh.to(tl.int64) * bpb + cum\n    end = start + nbm\n    c_first = ((start + 1) * NC + total - 1) // total - 1\n    c_last = (end * NC + total - 1) // total - 1\n    rows = rb * RB + tl.arange(0, RB)\n    rd = tl.arange(0, D)\n    m_max = tl.full((RB,), NEG, tl.float32)\n    for c in range(c_first, c_last + 1):\n        slot = c + t\n        m_max = tl.maximum(m_max, tl.load(Mp + slot * BM + rows))\n    l_tot = tl.zeros((RB,), tl.float32)\n    acc = tl.zeros((RB, D), tl.float32)\n    for c in range(c_first, c_last + 1):\n        slot = c + t\n        w = tl.math.exp2(tl.load(Mp + slot * BM + rows) - m_max)\n        l_tot += w * tl.load(Lp + slot * BM + rows)\n        o = tl.load(Op + (slot * BM + rows).to(tl.int64)[:, None] * D + rd[None, :])\n        acc += o * w[:, None]\n    acc = acc / l_tot[:, None]\n    b = bh // HKV\n    hk = bh - b * HKV\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    o_ptr = Out + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=(qpos < Sq)[:, None])\n\n\ndef kernel_fn(q, k, v, out, BN=64, WS=True, STAGES=2, num_warps=4, NCm=1):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM = 128\n    BMQ = BM // G\n    shift = Sk - Sq\n    n_mblk = triton.cdiv(Sq, BMQ)\n    bpb = 0\n    for i in range(n_mblk):\n        bpb += triton.cdiv(min(Sk, shift + (i + 1) * BMQ), BN)\n    total = bpb * B * HKV\n    n_tiles = B * HKV * n_mblk\n    NC = min(148 * NCm, total)\n    Op = torch.empty((NC + n_tiles, BM, D), device=q.device, dtype=torch.float32)\n    Mp = torch.empty((NC + n_tiles, BM), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((NC + n_tiles, BM), device=q.device, dtype=torch.float32)\n    qk_scale = (D ** -0.5) * 1.4426950408889634\n    _fwd_split[(NC,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, bpb, total, NC, qk_scale,\n                      HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps)\n    RB = 16\n    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, shift, n_mblk, bpb, total, NC, Sk,\n                                  HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, RB=RB, num_warps=4)\nEOF\ncat > /workspace/dev/bench.py << 'EOF'\nimport sys, importlib.util, time\nimport torch\nsys.path.insert(0, '/workspace')\nimport task as T\n\ndef load(path):\n    spec = importlib.util.spec_from_file_location('m', path)\n    m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m); return m\n\ndef bench(fn, args, n=20):\n    for _ in range(2): fn(*args)\n    torch.cuda.synchronize()\n    cache = torch.empty(256 * 1024 * 1024, dtype=torch.int8, device='cuda')\n    ts = []\n    for _ in range(n):\n        cache.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    return sorted(ts)[n // 2]\n\nEXPERT = {(1,256,131072): 379, (1,512,65536): 356, (1,512,131072): 692, (2,256,65536): 381}\n\nif __name__ == '__main__':\n    path = sys.argv[1]\n    kw = eval(sys.argv[2]) if len(sys.argv) > 2 else {}\n    check = '--nocheck' not in sys.argv\n    m = load(path)\n    shapes = T.TASK.shapes\n    if '--one' in sys.argv: shapes = shapes[:1]\n    ratios = []\n    for shape in shapes:\n        case = T.make_case(shape, 1, 'cuda')\n        fn = lambda q, k, v, o: m.kernel_fn(q, k, v, o, **kw)\n        if check:\n            exp = T.reference([a.clone() for a in case.args])\n            case.args[3].fill_(float('nan'))\n            fn(*case.args); torch.cuda.synchronize()\n            ok, st = T.check({3: case.args[3]}, exp)\n        else:\n            ok, st = None, {}\n        t = bench(fn, case.args)\n        key = (shape['B'], shape['Sq'], shape['Sk'])\n        flops = 4 * shape['B'] * shape['Sq'] * shape['Sk'] * 16 * 256\n        ratios.append(EXPERT[key] / t)\n        print(f\"{key} ok={ok} {st if not ok else ''} t={t:.1f}us expert={EXPERT[key]} ratio={EXPERT[key]/t:.3f} TFLOPS={flops/t/1e6:.0f}\", flush=True)\n    import math\n    print('geomean ratio vs expert:', math.exp(sum(math.log(r) for r in ratios)/len(ratios)))\nEOF\ncd /workspace/dev && timeout 600 python bench.py v1.py \"dict(BN=64, WS=False, STAGES=2, num_warps=4)\" --one 2>&1 | tail -20","description":"Write v1 split-KV kernel and benchmark harness, run first test"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1541,"cache_read_input_tokens":63477,"cache_creation":{"ephemeral_5m_input_tokens":1541,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"eca92ea8-8085-4e88-b9da-7bbc5d3688cb","timestamp":"2026-10-17T23:29:49.797Z","request_id":"req_011Cg8gHihNBPfxnjiFzEQCH"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01NCcDAtNndxf8MXK6MaXy1E","type":"tool_result","content":"    fn(*case.args); torch.cuda.synchronize()\n    ^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 34, in <lambda>\n    fn = lambda q, k, v, o: m.kernel_fn(q, k, v, o, **kw)\n                            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/v1.py\", line 151, in kernel_fn\n    _fwd_split[(NC,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, bpb, total, NC, qk_scale,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 459, in _init_handles\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 262240, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d4aa437c-d8fb-4278-8f1e-f35610955293","timestamp":"2026-10-17T23:30:19.031Z","tool_use_result":{"stdout":"    fn(*case.args); torch.cuda.synchronize()\n    ^^^^^^^^^^^^^^\n  File \"/workspace/dev/bench.py\", line 34, in <lambda>\n    fn = lambda q, k, v, o: m.kernel_fn(q, k, v, o, **kw)\n                            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/dev/v1.py\", line 151, in kernel_fn\n    _fwd_split[(NC,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, bpb, total, NC, qk_scale,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 459, in _init_handles\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 262240, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01NCcDAtNndxf8MXK6MaXy1E","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gW7aMMf81rACEotApJ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The HoistTMEMAlloc failure is probably caused by the nested while loops, so I should try a simpler kernel structure: grid-based with tile/split and a single KV loop plus a masked loop, avoiding while loops entirely. I'm considering a v2 design where each CTA handles at most two segments via a static unrolled loop, though I'm unsure that avoids the allocation issue either.\n\nFor the simplest test case, I'll try one segment per program with grid sized as n_tiles * S — for example 32 tiles with S=4 giving 128 CTAs, just to compare block-level speed.\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":726,"cache_read_input_tokens":73335,"cache_creation":{"ephemeral_5m_input_tokens":726,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"aafd5f90-8447-4e3f-99fe-3d349bbcd600","timestamp":"2026-10-17T23:32:08.693Z","request_id":"req_011Cg8gW6gnGyKJMNAHvYNyT","thinking_duration_ms":3771,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gW7aMMf81rACEotApJ","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01RJTnrQhURPvfg9N7GA8hmQ","name":"Bash","input":{"command":"cat > v2.py << 'EOF'\nimport math\nimport torch\nimport triton\nimport triton.language as tl\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\nNEG = tl.constexpr(-1.0e30)\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, S, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n               G: tl.constexpr, WS: tl.constexpr, STAGES: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    sp = tl.program_id(0)\n    t = tl.program_id(1)\n    bh = t // n_mblk\n    mb = t - bh * n_mblk\n    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    j0 = (sp * nbm) // S\n    j1 = ((sp + 1) * nbm) // S\n    k_desc = tl.make_tensor_descriptor(K, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    b = bh // HKV\n    hk = bh - b * HKV\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    q_ptr = Q + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n    q = tl.load(q_ptr, mask=(qpos < Sq)[:, None], other=0.0)\n    m_i = tl.full((BM,), NEG, tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    acc = tl.zeros((BM, D), tl.float32)\n    kv_row0 = b * Sk\n    j_full = tl.minimum(tl.maximum((shift + mb * BMQ + 1) // BN, j0), j1)\n    for j in tl.range(j0, j_full, warp_specialize=WS, num_stages=STAGES):\n        k = k_desc.load([kv_row0 + j * BN, hk * D])\n        s = tl.dot(q, k.T)\n        m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n        s = s * qk_scale - m_new[:, None]\n        pr = tl.math.exp2(s)\n        alpha = tl.math.exp2(m_i - m_new)\n        l_ij = tl.sum(pr, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([kv_row0 + j * BN, hk * D])\n        acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n        l_i = l_i * alpha + l_ij\n        m_i = m_new\n    for j in tl.range(j_full, j1, num_stages=1):\n        k = k_desc.load([kv_row0 + j * BN, hk * D])\n        s = tl.dot(q, k.T) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qpos)[:, None]\n        s = tl.where(ok, s, NEG)\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        pr = tl.math.exp2(s - m_new[:, None])\n        alpha = tl.math.exp2(m_i - m_new)\n        l_ij = tl.sum(pr, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([kv_row0 + j * BN, hk * D])\n        acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n        l_i = l_i * alpha + l_ij\n        m_i = m_new\n    slot = t * S + sp\n    o_ptr = Op + (slot.to(tl.int64) * BM + rows)[:, None] * D + rd[None, :]\n    tl.store(o_ptr, acc)\n    tl.store(Mp + slot * BM + rows, m_i)\n    tl.store(Lp + slot * BM + rows, l_i)\n\n\n@triton.jit\ndef _combine(Op, Mp, Lp, Out, Sq, n_mblk, S,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr,\n             G: tl.constexpr, RB: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    t = tl.program_id(0)\n    rb = tl.program_id(1)\n    bh = t // n_mblk\n    mb = t - bh * n_mblk\n    rows = rb * RB + tl.arange(0, RB)\n    rd = tl.arange(0, D)\n    m_max = tl.full((RB,), NEG, tl.float32)\n    for sp in range(0, S):\n        slot = t * S + sp\n        m_max = tl.maximum(m_max, tl.load(Mp + slot * BM + rows))\n    l_tot = tl.zeros((RB,), tl.float32)\n    acc = tl.zeros((RB, D), tl.float32)\n    for sp in range(0, S):\n        slot = t * S + sp\n        w = tl.math.exp2(tl.load(Mp + slot * BM + rows) - m_max)\n        l_tot += w * tl.load(Lp + slot * BM + rows)\n        o = tl.load(Op + (slot * BM + rows).to(tl.int64)[:, None] * D + rd[None, :])\n        acc += o * w[:, None]\n    acc = acc / l_tot[:, None]\n    b = bh // HKV\n    hk = bh - b * HKV\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    o_ptr = Out + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=(qpos < Sq)[:, None])\n\n\ndef kernel_fn(q, k, v, out, BN=64, WS=True, STAGES=2, num_warps=4, S=4):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM = 128\n    BMQ = BM // G\n    shift = Sk - Sq\n    n_mblk = triton.cdiv(Sq, BMQ)\n    n_tiles = B * HKV * n_mblk\n    Op = torch.empty((n_tiles * S, BM, D), device=q.device, dtype=torch.float32)\n    Mp = torch.empty((n_tiles * S, BM), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_tiles * S, BM), device=q.device, dtype=torch.float32)\n    qk_scale = (D ** -0.5) * 1.4426950408889634\n    _fwd_split[(S, n_tiles)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, S, qk_scale,\n                             HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps)\n    RB = 16\n    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, n_mblk, S,\n                                  HQ=HQ, HKV=HKV, D=D, BM=BM, G=G, RB=RB, num_warps=4)\nEOF\nfor cfg in \"dict(BN=64, WS=False, STAGES=2, num_warps=8)\" \"dict(BN=64, WS=True, STAGES=2, num_warps=4)\" \"dict(BN=64, WS=True, STAGES=2, num_warps=8)\" \"dict(BN=128, WS=True, STAGES=1, num_warps=4)\"; do echo \"== $cfg\"; timeout 600 python bench.py v2.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | tail -3; done","description":"Test simple grid split-KV kernel with warp specialization"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":726,"cache_read_input_tokens":73335,"cache_creation":{"ephemeral_5m_input_tokens":726,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"3a9362e3-b748-4797-b46e-6aae7073e906","timestamp":"2026-10-17T23:32:27.246Z","request_id":"req_011Cg8gW6gnGyKJMNAHvYNyT"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gZpc1d4fusrQ2eSjWe","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_013LpQGncHZux5k8sNRw6XQo","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('v2.py').read()\n# variant A: single loop with mask applied in all iterations\na = src.replace(\"\"\"    for j in tl.range(j_full, j1, num_stages=1):\n        k = k_desc.load([kv_row0 + j * BN, hk * D])\n        s = tl.dot(q, k.T) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qpos)[:, None]\n        s = tl.where(ok, s, NEG)\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        pr = tl.math.exp2(s - m_new[:, None])\n        alpha = tl.math.exp2(m_i - m_new)\n        l_ij = tl.sum(pr, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([kv_row0 + j * BN, hk * D])\n        acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n        l_i = l_i * alpha + l_ij\n        m_i = m_new\n\"\"\", \"\")\nopen('v2a.py', 'w').write(a)\nEOF\nfor cfg in \"dict(BN=64, WS=True, STAGES=2, num_warps=4)\" \"dict(BN=128, WS=True, STAGES=1, num_warps=4)\"; do echo \"== $cfg\"; timeout 600 python bench.py v2a.py \"$cfg\" --one --nocheck 2>&1 | grep -v \"^  \" | tail -3; done","description":"Test WS compile with only the unmasked loop"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3979,"cache_read_input_tokens":74061,"cache_creation":{"ephemeral_5m_input_tokens":3979,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"af54bc7b-2e83-4563-b245-b30e4cdfac1d","timestamp":"2026-10-17T23:33:00.929Z","request_id":"req_011Cg8gZpHeoEPNvFrUpMtRH"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_013LpQGncHZux5k8sNRw6XQo","type":"tool_result","content":"== dict(BN=64, WS=True, STAGES=2, num_warps=4)\nTraceback (most recent call last):\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 263824, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\n== dict(BN=128, WS=True, STAGES=1, num_warps=4)\nTraceback (most recent call last):\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 460432, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0cc98a86-871d-4c48-93e6-9479b64ba662","timestamp":"2026-10-17T23:33:13.458Z","tool_use_result":{"stdout":"== dict(BN=64, WS=True, STAGES=2, num_warps=4)\nTraceback (most recent call last):\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 263824, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\n== dict(BN=128, WS=True, STAGES=1, num_warps=4)\nTraceback (most recent call last):\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 460432, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_013LpQGncHZux5k8sNRw6XQo","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gdCuHRALBVi2J4xpY1","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Automatic warp specialization in Triton 3.7 is clearly underperforming here, running 2-3x slower than the non-WS version, likely due to poor handling of accumulator rescaling or an overloaded default partition. I'm considering instead optimizing the non-WS kernel directly through manual software pipelining, overlapping the QK matrix multiply for the next block with the softmax of the current one.\n\nGluon isn't an option since the allowed imports are restricted to plain triton and triton.language modules only, so I need to stick with standard Triton constructs. Looking at the non-WS numbers more carefully, I'm at roughly 25% of peak throughput, around 3.5x the ideal MMA cycle count per block, which suggests the softmax computation across warps is eating significant cycles that pipelining could hide.\n\nSoftmax for the 128x64 tile involves exp2 instructions bottlenecked by the MUFU unit's throughput, plus the accumulator rescaling step that multiplies all 32K elements and requires TMEM load/store traffic each iteration — that rescaling cost is substantial and conditional rescaling would avoid paying it every time. The bigger issue is serialization: QK matmul, then softmax, then PV matmul run one after another rather than overlapping, which is exactly where warp specialization or software pipelining could help hide the softmax latency behind MMA work.\n\nI'm sketching a manual prologue-style loop where the next QK matmul is issued before using the previous softmax result, so the async MMA can overlap with softmax/PV work, deferring the wait until actually needed. I'm trying to recall whether Triton's Blackwell backend actually defers the wait that way in its tcgen05 pipelining pass, or whether it inserts the wait immediately after issuing the MMA regardless of source order.\n\nSince I'm not confident in how the compiler schedules waits, I'm instead listing practical levers I could try directly in Triton: conditional rescaling to avoid unnecessary FMULs, increasing BN to 128 to reduce per-iteration overhead, experimenting with warp counts, keeping multi-stage pipelining, and considering whether ping-ponging two Q tiles per CTA is even feasible given TMEM capacity constraints.\n\nI'm now checking whether TMEM has room for that double-tile approach and concluding it doesn't fit within the 512-column budget. Without profiling tools like ncu available in this sandboxed environment, I think the better path is to inspect the generated TTGIR or PTX directly to see whether accumulators live in TMEM, whether P flows through SMEM or TMEM, and whether the MMAs are actually asynchronous.\n\nReasoning through what Triton's pipeliner can realistically achieve on Blackwell without warp specialization: the per-iteration critical path is QK MMA plus softmax plus PV MMA, but if the accumulator rescale is skipped, PV of one iteration could overlap with QK and softmax of the next, since the next PV just keeps accumulating.\n\nThe key question is whether Triton's compiler defers the wait on PV results when the accumulator stays resident in TMEM and is only consulted in the rare rescale branch. I'm not confident the compiler does this optimization, so I want to check the actual TTGIR output for the non-warp-specialized v2 kernel with BN=64 and 8 warps to see what's really happening.\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":1031,"cache_read_input_tokens":79056,"cache_creation":{"ephemeral_5m_input_tokens":1031,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"74b6ead5-9b12-4354-8650-7ec6aa47eaba","timestamp":"2026-10-17T23:34:06.743Z","request_id":"req_011Cg8gdCYTGPMC3VpkFcayG","thinking_duration_ms":25726,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gdCuHRALBVi2J4xpY1","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01QLHjWE2ovSHLuWdELsCaTB","name":"Bash","input":{"command":"cat > dump.py << 'EOF'\nimport sys, importlib.util, torch\nsys.path.insert(0, '/workspace')\nimport task as T\nspec = importlib.util.spec_from_file_location('m', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nkw = eval(sys.argv[2])\nshape = T.TASK.shapes[0]\ncase = T.make_case(shape, 1, 'cuda')\nm.kernel_fn(*case.args, **kw)\ntorch.cuda.synchronize()\nk = m._fwd_split\nfor key, c in k.device_caches[0][0].items() if hasattr(k, 'device_caches') else []:\n    pass\n# find compiled kernel\nimport triton\ncache = k.device_caches\nfor dev, v in cache.items():\n    kc = v[0]\n    for key, ck in kc.items():\n        open(sys.argv[3] + '.ttgir', 'w').write(ck.asm['ttgir'])\n        open(sys.argv[3] + '.ptx', 'w').write(ck.asm['ptx'])\n        print('shared', ck.metadata.shared, 'tmem', getattr(ck.metadata, 'tmem_size', None), 'num_warps', ck.metadata.num_warps)\nEOF\ntimeout 300 python dump.py v2.py \"dict(BN=64, WS=False, STAGES=2, num_warps=8, S=4)\" /tmp/v2 2>&1 | tail -3; grep -c \"tc_gen5_mma\" /tmp/v2.ttgir; grep -n \"tc_gen5_mma\\|tmem_load\\|tmem_store\\|tmem_alloc\\|wait_barrier\\|local_alloc\\|scf.for\\|scf.if\\|async_tma\\|barrier_expect\" /tmp/v2.ttgir | head -80","description":"Dump TTGIR of non-WS kernel to inspect MMA/TMEM usage"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1031,"cache_read_input_tokens":79056,"cache_creation":{"ephemeral_5m_input_tokens":1031,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"04759686-a40d-4636-bdaf-95c2f1872cb3","timestamp":"2026-10-17T23:34:10.255Z","request_id":"req_011Cg8gdCYTGPMC3VpkFcayG"}
{"type":"system","subtype":"task_started","task_id":"bvds7rye7","run_id":"0mvd19nvu-a54d3ece","tool_use_id":"toolu_01QLHjWE2ovSHLuWdELsCaTB","description":"Dump TTGIR of non-WS kernel to inspect MMA/TMEM usage","is_backgrounded":false,"task_type":"local_bash","uuid":"2e75b175-f383-4ec3-a3db-588e43c16aa9","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bvds7rye7","run_id":"0mvd19nvu-a54d3ece","tool_use_id":"toolu_01QLHjWE2ovSHLuWdELsCaTB","status":"completed","output_file":"","summary":"Dump TTGIR of non-WS kernel to inspect MMA/TMEM usage","uuid":"a949fa6e-9326-4455-bbac-36f332b2f4cc","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01QLHjWE2ovSHLuWdELsCaTB","type":"tool_result","content":"shared 197184 tmem 512 num_warps 8\n7\n133:    %q_56 = ttg.local_alloc %q_55 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc176)\n143:    %acc = ttng.tmem_alloc : () -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n144:    ttng.tmem_store %cst_0, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n145:    %acc_61 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n150:    %acc_64 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n155:    %k_67 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n156:    %v = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n157:    %acc_68 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n162:    %acc_71 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n170:    ttng.barrier_expect %acc_69, 32768, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n173:    ttng.async_tma_copy_global_to_local %k_desc_18[%k_76, %k] %k_77, %acc_69, %acc_74 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n176:    ttng.wait_barrier %acc_69, %c0_i32, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n177:    %s_81 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc192)\n179:    ttng.tc_gen5_mma %q_56, %s_78, %s_81, %false, %acc_74, %acc_62[%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(#loc192)\n180:    ttng.barrier_expect %acc_72, 32768, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n182:    ttng.async_tma_copy_global_to_local %v_desc_19[%k_76, %k] %v_82, %acc_72, %acc_74 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n185:    ttng.barrier_expect %acc_70, 32768, %acc_80 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n188:    ttng.async_tma_copy_global_to_local %k_desc_18[%k_84, %k] %k_85, %acc_70, %acc_80 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n191:    ttng.wait_barrier %acc_62, %c0_i32, %acc_74 deps %q_56, %s_78 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc192)\n192:    %s_89 = ttng.tmem_load %s_81 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc192)\n211:    ttng.wait_barrier %acc_72, %c0_i32, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n213:    %acc_103 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc186)\n214:    ttng.tmem_store %acc_102, %acc_103, %acc_74 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc186)\n215:    %acc_104 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc186)\n217:    ttng.tmem_store %acc_105, %acc, %acc_74 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n218:    ttng.tc_gen5_mma %acc_103, %v_82, %acc, %true, %acc_74, %acc_65[%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(#loc186)\n219:    ttng.wait_barrier %acc_70, %c0_i32, %acc_80 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n221:    ttng.tc_gen5_mma %q_56, %s_86, %s_81, %false, %acc_80, %acc_63[%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(#loc192)\n222:    ttng.barrier_expect %acc_73, 32768, %acc_80 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n224:    ttng.async_tma_copy_global_to_local %v_desc_19[%k_84, %k] %v_106, %acc_73, %acc_80 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n227:    ttng.barrier_expect %acc_69, 32768, %acc_88 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n228:    ttng.async_tma_copy_global_to_local %k_desc_18[%k_108, %k] %k_77, %acc_69, %acc_88 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n231:    %acc_110:15 = scf.for %acc_129 = %j0_15 to %acc_109 step %c1_i32 iter_args(%acc_130 = %acc_93, %arg14 = %cst_8, %arg15 = %c1_i32, %arg16 = %c0_i32, %arg17 = %c0_i32, %arg18 = %c1_i32, %pr_131 = %pr, %alpha_132 = %alpha_98, %acc_133 = %acc_63, %arg22 = %c0_i32, %s_134 = %s_86, %acc_135 = %acc_65, %arg25 = %c0_i32, %v_136 = %v_82, %k_137 = %k_108) -> (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 {\n243:      ttng.wait_barrier %acc_133, %arg22, %true deps %q_56, %s_134 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc192)\n244:      %s_143 = ttng.tmem_load %s_81 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc192)\n262:      ttng.wait_barrier %acc_135, %arg25 deps %acc_103, %v_136 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc186)\n264:      ttng.wait_barrier %acc_157, %arg17, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n267:      ttng.tmem_store %acc_159, %acc_103, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc186)\n268:      %acc_160 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc186)\n270:      ttng.tmem_store %acc_161, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n272:      ttng.tc_gen5_mma %acc_103, %v_158, %acc, %true, %true, %acc_162[%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(#loc186)\n279:      ttng.wait_barrier %acc_168, %acc_167, %acc_141 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n283:      ttng.tc_gen5_mma %q_56, %s_170, %s_81, %false, %acc_141, %acc_171[%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(#loc192)\n285:      ttng.barrier_expect %acc_172, 32768, %acc_141 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n287:      ttng.async_tma_copy_global_to_local %v_desc_19[%k_137, %k] %v_173, %acc_172, %acc_141 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n297:      ttng.barrier_expect %acc_182, 32768, %acc_139 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n299:      ttng.async_tma_copy_global_to_local %k_desc_18[%k_181, %k] %k_183, %acc_182, %acc_139 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n302:    %acc_111 = scf.if %acc_74 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>) {\n310:      ttng.wait_barrier %acc_110#11, %acc_110#12 deps %acc_103, %acc_110#13 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc186)\n333:    %s_115 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc209)\n335:    %acc_116:2 = scf.for %acc_129 = %j_full_60 to %j1_17 step %c1_i32 iter_args(%acc_130 = %acc_110#0, %acc_131 = %acc_111) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>)  : i32 {\n338:      %k_134 = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc213)\n340:      %k_136 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc213)\n342:      ttng.barrier_expect %k_136, 32768, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc213)\n343:      ttng.async_tma_copy_global_to_local %k_desc_18[%k_133, %k] %k_134, %k_136, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc213)\n344:      ttng.wait_barrier %k_136, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc213)\n346:      %s_137 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc209)\n348:      ttng.tc_gen5_mma %q_56, %s_135, %s_115, %false, %true, %s_137[%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(#loc209)\n349:      ttng.wait_barrier %s_137, %c0_i32, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc209)\n356:      %s_142 = ttng.tmem_load %s_115 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc209)\n379:      %v_156 = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc228)\n380:      %v_157 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc228)\n382:      ttng.barrier_expect %v_157, 32768, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc228)\n383:      ttng.async_tma_copy_global_to_local %v_desc_19[%k_133, %k] %v_156, %v_157, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc228)\n384:      ttng.wait_barrier %v_157, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc228)\n388:      %acc_160 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc230)\n390:      ttng.tmem_store %acc_161, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc230)\n391:      %acc_162 = ttng.tmem_alloc %acc_159 : (tensor<128x64xbf16, #linear2>) -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory> loc(#loc230)\n392:      %acc_163 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc230)\n394:      ttng.tc_gen5_mma %acc_162, %v_156, %acc, %true, %true, %acc_163[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc230)\n395:      ttng.wait_barrier %acc_163, %c0_i32, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc230)\n414:    %acc_128 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc230)","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"13c0ed92-7ecf-4aab-b4d2-26ac566730f1","timestamp":"2026-10-17T23:34:16.396Z","tool_use_result":{"stdout":"shared 197184 tmem 512 num_warps 8\n7\n133:    %q_56 = ttg.local_alloc %q_55 : (tensor<128x256xbf16, #blocked>) -> !ttg.memdesc<128x256xbf16, #shared, #smem> loc(#loc176)\n143:    %acc = ttng.tmem_alloc : () -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n144:    ttng.tmem_store %cst_0, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n145:    %acc_61 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n150:    %acc_64 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n155:    %k_67 = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n156:    %v = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n157:    %acc_68 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n162:    %acc_71 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> loc(#loc254)\n170:    ttng.barrier_expect %acc_69, 32768, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n173:    ttng.async_tma_copy_global_to_local %k_desc_18[%k_76, %k] %k_77, %acc_69, %acc_74 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n176:    ttng.wait_barrier %acc_69, %c0_i32, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n177:    %s_81 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc192)\n179:    ttng.tc_gen5_mma %q_56, %s_78, %s_81, %false, %acc_74, %acc_62[%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(#loc192)\n180:    ttng.barrier_expect %acc_72, 32768, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n182:    ttng.async_tma_copy_global_to_local %v_desc_19[%k_76, %k] %v_82, %acc_72, %acc_74 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n185:    ttng.barrier_expect %acc_70, 32768, %acc_80 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n188:    ttng.async_tma_copy_global_to_local %k_desc_18[%k_84, %k] %k_85, %acc_70, %acc_80 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n191:    ttng.wait_barrier %acc_62, %c0_i32, %acc_74 deps %q_56, %s_78 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc192)\n192:    %s_89 = ttng.tmem_load %s_81 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc192)\n211:    ttng.wait_barrier %acc_72, %c0_i32, %acc_74 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n213:    %acc_103 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc186)\n214:    ttng.tmem_store %acc_102, %acc_103, %acc_74 : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc186)\n215:    %acc_104 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc186)\n217:    ttng.tmem_store %acc_105, %acc, %acc_74 : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n218:    ttng.tc_gen5_mma %acc_103, %v_82, %acc, %true, %acc_74, %acc_65[%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(#loc186)\n219:    ttng.wait_barrier %acc_70, %c0_i32, %acc_80 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n221:    ttng.tc_gen5_mma %q_56, %s_86, %s_81, %false, %acc_80, %acc_63[%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(#loc192)\n222:    ttng.barrier_expect %acc_73, 32768, %acc_80 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n224:    ttng.async_tma_copy_global_to_local %v_desc_19[%k_84, %k] %v_106, %acc_73, %acc_80 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n227:    ttng.barrier_expect %acc_69, 32768, %acc_88 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n228:    ttng.async_tma_copy_global_to_local %k_desc_18[%k_108, %k] %k_77, %acc_69, %acc_88 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n231:    %acc_110:15 = scf.for %acc_129 = %j0_15 to %acc_109 step %c1_i32 iter_args(%acc_130 = %acc_93, %arg14 = %cst_8, %arg15 = %c1_i32, %arg16 = %c0_i32, %arg17 = %c0_i32, %arg18 = %c1_i32, %pr_131 = %pr, %alpha_132 = %alpha_98, %acc_133 = %acc_63, %arg22 = %c0_i32, %s_134 = %s_86, %acc_135 = %acc_65, %arg25 = %c0_i32, %v_136 = %v_82, %k_137 = %k_108) -> (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 {\n243:      ttng.wait_barrier %acc_133, %arg22, %true deps %q_56, %s_134 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable> loc(#loc192)\n244:      %s_143 = ttng.tmem_load %s_81 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc192)\n262:      ttng.wait_barrier %acc_135, %arg25 deps %acc_103, %v_136 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc186)\n264:      ttng.wait_barrier %acc_157, %arg17, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n267:      ttng.tmem_store %acc_159, %acc_103, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable> loc(#loc186)\n268:      %acc_160 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc186)\n270:      ttng.tmem_store %acc_161, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc186)\n272:      ttng.tc_gen5_mma %acc_103, %v_158, %acc, %true, %true, %acc_162[%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(#loc186)\n279:      ttng.wait_barrier %acc_168, %acc_167, %acc_141 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n283:      ttng.tc_gen5_mma %q_56, %s_170, %s_81, %false, %acc_141, %acc_171[%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(#loc192)\n285:      ttng.barrier_expect %acc_172, 32768, %acc_141 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n287:      ttng.async_tma_copy_global_to_local %v_desc_19[%k_137, %k] %v_173, %acc_172, %acc_141 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc189)\n297:      ttng.barrier_expect %acc_182, 32768, %acc_139 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc254)\n299:      ttng.async_tma_copy_global_to_local %k_desc_18[%k_181, %k] %k_183, %acc_182, %acc_139 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc188)\n302:    %acc_111 = scf.if %acc_74 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>) {\n310:      ttng.wait_barrier %acc_110#11, %acc_110#12 deps %acc_103, %acc_110#13 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory, mutable>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc186)\n333:    %s_115 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc209)\n335:    %acc_116:2 = scf.for %acc_129 = %j_full_60 to %j1_17 step %c1_i32 iter_args(%acc_130 = %acc_110#0, %acc_131 = %acc_111) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>)  : i32 {\n338:      %k_134 = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc213)\n340:      %k_136 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc213)\n342:      ttng.barrier_expect %k_136, 32768, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc213)\n343:      ttng.async_tma_copy_global_to_local %k_desc_18[%k_133, %k] %k_134, %k_136, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc213)\n344:      ttng.wait_barrier %k_136, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc213)\n346:      %s_137 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc209)\n348:      ttng.tc_gen5_mma %q_56, %s_135, %s_115, %false, %true, %s_137[%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(#loc209)\n349:      ttng.wait_barrier %s_137, %c0_i32, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc209)\n356:      %s_142 = ttng.tmem_load %s_115 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc209)\n379:      %v_156 = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc228)\n380:      %v_157 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc228)\n382:      ttng.barrier_expect %v_157, 32768, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc228)\n383:      ttng.async_tma_copy_global_to_local %v_desc_19[%k_133, %k] %v_156, %v_157, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc228)\n384:      ttng.wait_barrier %v_157, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc228)\n388:      %acc_160 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc230)\n390:      ttng.tmem_store %acc_161, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc230)\n391:      %acc_162 = ttng.tmem_alloc %acc_159 : (tensor<128x64xbf16, #linear2>) -> !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory> loc(#loc230)\n392:      %acc_163 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc230)\n394:      ttng.tc_gen5_mma %acc_162, %v_156, %acc, %true, %true, %acc_163[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable>, !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc230)\n395:      ttng.wait_barrier %acc_163, %c0_i32, %true : !ttg.memdesc<1xi64, #shared1, #smem, mutable> loc(#loc230)\n414:    %acc_128 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc230)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01QLHjWE2ovSHLuWdELsCaTB","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":1,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b19085f5-e194-4da6-b5ed-6ee6f139557a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":6,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"15ffca17-ac21-4d13-8acf-6c6a5922283f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":11,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"75e4e9eb-f79a-4392-9041-a50dbca32fa1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":17,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a93d70e5-6000-49c0-9486-3acc7dd0e1d5"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"46366e38-20ee-497e-823c-55db2fc0d628"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":24,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"10f82dce-6b02-4387-8410-c05ce7eed164"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":28,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0f95cb2a-d1ca-4462-90c3-2e2000d6781f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":32,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"452dc480-6868-403d-b176-2aad0ae97295"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":39,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"676c846d-d7b7-424a-92eb-7e130e251d4b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":41,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"760790c8-c438-4280-86b6-b74a1c9c1b34"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":46,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a0de4c02-ba68-438e-a1fc-b9661e56e776"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":50,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0fbccd17-92d9-4ad1-8b72-4af8993a93ab"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":53,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"df4dad49-f851-4a4a-b647-0f386f04a363"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":55,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"105aacb4-072b-4c1c-b45c-2613bd96ca99"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":60,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"bab81068-cad4-48ff-a9b6-4f6f68f6d2d4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":64,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"7ef4b97d-ab35-4b3d-9861-f97b12d770e7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":71,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a27e4934-9b7a-4dcd-bbe2-3b136f8e2526"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":73,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"088bb96f-2041-4fda-be13-a1bdac074872"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":78,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"989292f0-201e-4333-8b49-899b58e89649"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":81,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5333608c-4267-48a3-bd26-082ffeefea3e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":82,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"53424a30-d51f-4cd0-a94b-27fb82b759c2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":87,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5983cfec-bdcd-4e3a-93c7-981996faf943"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":88,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b0f5f88a-780d-4e62-b60c-7210092c7eec"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":94,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d0d29c56-4e4e-44a9-b068-10785b8f4232"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":95,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"9b5a39b9-0018-4461-a8ac-bfe829fe2ee9"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":97,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"54293fd6-9a65-469f-9e87-7ef80fc930d5"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":103,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5ad5bb5b-90b6-4178-abf5-d0758b94f6a7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":106,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1ea805b5-14e9-48d9-ad38-0c42811ddfa3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":113,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"72b43c68-dd71-4828-a237-ee740a1487c2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":117,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ae997bd1-b4af-47a9-b87a-3544fb1a2e45"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":121,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5996f3b0-1cf3-48eb-8276-8eef659ddca3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":126,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8461e8d6-7904-4da5-bc97-fb71427a0ab3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":127,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"68ec123c-b281-4d0e-8194-b5f82fcc64a1"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gfvbbHw1TNAdX9Rb33","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tracing through the non-WS pipelined loop structure: waiting on QK, loading into TMEM, running softmax, then waiting on the previous PV result before storing P into TMEM for the TS-MMA, followed by scaling the accumulator and kicking off the async PV MMA alongside the next QK MMA once the K load completes.\n\nWorking through the timing, since PV_j is issued before QK_{j+1}, the tensor core processes PV_j then QK_{j+1} while the CUDA cores stall waiting on QK_{j+1} to finish. That gives roughly 1024 clocks for the tensor-core work plus ~600 for softmax and ~400 for the rescale, summing to around 2000+ clocks, but measured results show ~3570 clocks per block — worse than expected, likely because the 128x256 fp32 accumulator load/store across 8 warps (128 values per thread) is causing register spills or long latency. I'm now considering reordering to issue QK_{j+1} earlier, right after S_j loads from TMEM, though that risks overwriting the single S buffer before it's consumed.\n\nNow I'm sketching software-pipelined pseudocode in Triton, loading K for block j0, computing the first QK product, then looping and issuing the next QK dot product before finishing the current iteration's work, so the tensor core can run QK_{j+1} concurrently with softmax_j, followed by PV_j, aiming to overlap tensor and CUDA core work so the critical path per block drops to roughly max(tensor time, softmax time).\n\nI'm wondering whether the compiler actually overlaps the wait/tmem_load for s_next with other work, or whether it's forced synchronous right at the point of definition — unless Triton's pipeliner sinks that operation to the end of the loop body. I'm also rough-costing the register pressure for keeping `s` loop-carried (around 32 regs per thread with 8 warps and BN=64), which seems manageable, and now I'm questioning whether Triton's pipelining with num_stages can actually pipeline the MMA properly here.\n\nRight now the QK dot for the next iteration gets issued after PV_j, so softmax_{j+1} has to wait on both of those tensor-pipe ops to finish — reordering so QK_{j+1} comes before PV_j might help, though the compiler could just undo that reordering itself. I also want to try removing the every-iteration tmem_load/mul/tmem_store rescale of the accumulator by making it conditional, since that overhead is mostly unnecessary.\n\nThere's also a dependency issue: because the P TMEM buffer is single-buffered, storing P for iteration j has to wait until PV_{j-1} finishes reading it, and double-buffering P would eliminate that stall — but Triton only allocates one P buffer and I can't directly control TMEM allocation to force a second one. Routing P through SMEM instead doesn't help either since that's also single-buffered. Thinking through the TMEM budget, the accumulator, S, and P buffers roughly add up to around 384 columns, which constrains how much double-buffering is even feasible.\n\nNow I'm wondering whether 2-CTA MMA mode (like FA4 uses for hd256) is accessible in plain Triton via num_ctas=2, since I recall Blackwell tcgen05 2-CTA support was added to Triton's matmul path recently.\n\nReally though, the bottleneck is sequential MMA/softmax execution and the costly accumulator rescale, so I should focus on conditional rescale skipping, manual pipelining to overlap QK of the next block with softmax of the current one, and possibly bumping BN to 128 while checking that TMEM and SMEM budgets still fit.\n\nI'm also considering splitting the M=128 tile into two 64-row halves for ping-pong, but M=64 MMAs likely just run at half throughput, making that unhelpful. Another option is using two warpgroups to split S columns, which Triton already handles automatically with num_warps=8, though that requires cross-warp reduction through shared memory for row max/sum.\n\nWith num_warps=4 instead, each thread owns a full row so no cross-thread reduction is needed, but the accumulator rescale becomes 256 values per thread, risking register spills even if that path runs rarely since registers still get allocated for it. I'm thinking about manually splitting the accumulator into column chunks and running separate PV dot products for each chunk to reduce register pressure.\n\nI'm also estimating the exp2 cost: with 64 exps per thread per block and MUFU throughput of 16/clk/SM, that's about 512 clocks per block, roughly half the tensor time for BN=64, which should overlap fine. I'm also tallying the FP32 ALU ops per element: scale-subtract, max, exp2, sum, and a conversion.\n\nConverting to bf16 adds roughly 3.5 ops per element, giving around 224 clocks for 8192 elements across 128 threads. So softmax totals around 512 clocks from MUFU plus overhead, but since each SMSP issues one instruction per clock per warp, I'm working through the per-thread instruction count — roughly 64 elements times 4.5 instructions, landing near 288 instructions per thread per block.\n\nGiven MUFU throughput of 4 exps/clk per SMSP, that's 512 clocks per warp for the softmax stage, and tensor ops run roughly 1024 clocks per BN=64 block. With perfect overlap that's 1024 clocks per block, totaling about 452K clocks (~223us) across 442 blocks — but I need to hit ≤379us per expert, meaning ≤1700 clocks per BN=64 block versus my current ~3570. That's a 2.1x improvement I still need to find.\n\nI'm considering a restructure using conditional rescaling with a threshold in log2 domain, manual pipelining of the QK computation, and experimenting with warp counts. For the conditional rescale logic, I'm writing code that computes the block max and compares the shift against a threshold of 8, only applying the exponential rescale correction when the shift actually exceeds that threshold to avoid unnecessary work.\n\nI'm checking correctness: when m_i starts at negative infinity, the rescale factor becomes zero so the accumulator contribution is correctly zeroed out, and even when only some rows need the update, updating m_i uniformly across all rows still preserves exactness since the softmax normalization accounts for stale maxes on other rows.\n\nI'm also weighing the cost of the CTA-wide reduction needed to compute the scalar \"need\" flag—it requires a max reduction across 128 values spread over warps, involving shuffle operations plus a cross-warp sync through shared memory, which adds some latency but stays within an acceptable range. For the masked loop, I'm verifying the edge case where a block is fully masked out: the block max stays at negative infinity, so if the running max was already negative infinity, no rescale is triggered and the exponential term evaluates cleanly to one.\n\nI realize that's actually a problem—a fully masked entry should map to zero, not one. The fix is to use true negative infinity for masked scores while keeping the running max initialized to a large finite negative sentinel, so that the exponential of negative infinity minus a finite number correctly evaluates to zero, while the rescale factor between two finite running maxes still behaves properly.\n\nThe key consistency check is that any rescale/update of the running max happens before computing probabilities in every block, so a row transitioning from fully-masked to having valid entries always triggers the update first, avoiding the overflow case. I'm also noting that since scores could be quite large in magnitude, fp32 should still keep things stable.\n\nLooking at the Triton scheduling now, the conditional rescale of accumulator (tmem_load, multiply, tmem_store) still requires waiting for the prior PV matmul to finish before the unconditional P buffer store happens each iteration — which should be fine as long as that PV matmul overlaps with the softmax computation for the next block.\n\nWhen manual pipelining issues QK_{j+1} ahead of softmax_j, the matmul pipe order becomes PV_{j-1}, QK_{j+1}, PV_j, QK_{j+2}, while the CUDA cores wait on S_j, then PV_{j-1}, store P_j, issue PV_j, wait for K_{j+2}, and issue QK_{j+2} before moving to the next iteration's wait on QK_{j+1}. I'm trying to pin down exactly when QK_{j+1} gets issued relative to softmax_j within that loop.\n\nLooking at the sequence more carefully: S_j is loaded from TMEM, then QK_{j+1} issues since the single-buffered S TMEM slot frees up once the load completes, softmax_j runs on registers, and finally PV_j waits on PV_{j-1} before storing P_j and issuing. On the timeline, QK_{j+1}'s 512 cycles overlap with softmax_j's roughly 600 cycles, so by the time PV_j is issued and the next iteration begins, QK_{j+1} is already finished and QK_{j+2} is queued right behind PV_j on the tensor pipe.\n\nTracing steady state: CUDA cores handle softmax plus overhead while the tensor pipe churns through roughly 1024 cycles (QK + PV). Since softmax_{j+1} only depends on S_{j+1}, which finished well in advance, the CUDA cores never stall on the tensor pipe except briefly waiting on PV_{j-1}, and that 512-cycle wait finishes well before softmax_j's ~600 cycles are up—so the bottleneck per iteration ends up being whichever of the tensor pipe's 1024 cycles or the CUDA core's chain is longer.\n\nThe real question is how to coax Triton into emitting this exact instruction order. I'm worried that writing the QK dot for the next iteration directly in the loop body makes the compiler emit a synchronous mma-wait-load sequence with no overlap, and I'm unsure whether Triton's pipeliner is smart enough to defer that wait until the value is actually needed in the following iteration. I consider instead relying on Triton's built-in pipeliner for MMAv5 to handle the stage assignment for QK_{j+1} automatically.\n\nSince the pipeliner peels the next iteration's QK to the end of the current one, making it the last op per iteration, I'm considering manually rotating the loop body so it processes PV for the previous block before computing QK and softmax for the current block.\n\nMapping out the timeline per iteration, I get roughly 512 clocks waiting for QK plus 600 for softmax overlapping with PV, totaling about 1112 clocks versus the tensor pipe's 1024 — so softmax is the bottleneck. I'm also considering whether keeping p_prev as a loop-carried register tensor across warps will actually compile efficiently.\n\nWorking through the timing: QK_j and overlapped PV_{j-1}/softmax_j give roughly 1112 clocks per iteration, so across 442 blocks that's about 486K clocks or 240us at 2.03GHz — which would actually beat the expert's 379us if this schedule holds. But I'm wary that Triton's pipeliner might reorder things against my intended schedule; I could disable it with num_stages=1 to force synchronous TMA loads instead.\n\nWith num_stages=2, the pipeliner would prefetch loads a step ahead and likely pipeline the MMAs asynchronously too, so I should check the generated TTGIR to see how buffer lifetimes for V_{j-1} are managed across the overlap. I'll draft a v3 implementation with loop rotation (deferring PV of the previous block until after QK of the current one), conditional rescaling, and either 4 or 8 warps, holding off on splitting the accumulator for now and just working out the right op ordering for the rotated schedule first.\n\nall: this stall should wait on the PV_{j-1} dot issued in step 2, but in steady state it's rare since \"need\" rarely triggers. The first block of a segment is a special case—m_i starts at negative infinity so a rescale is forced, multiplying acc by zero, which is wasteful but harmless since it only happens once per segment. I'm now sketching the Triton loop structure, starting with a prologue that loads the first K block, computes scores and the initial max without any rescale since acc is still zero, then computes the softmax numerator and running sum before moving into the main loop over V.\n\nThe main loop pipelines V loads one iteration behind K, carrying p_prev as a bf16 register tensor and accumulating into acc, with an epilogue handling the final V block. I'm weighing whether to fold the masking logic into this same loop instead of a separate masked pass, but that adds per-element compare-and-select overhead—roughly 40% more ALU work—so I'm considering isolating the mask computation elsewhere instead.\n\nI'll keep the masked blocks in a separate loop handled only by the CTA owning the diagonal, letting the main loop finish its rotated PV accumulation before the masked loop does its own simpler, unrotated processing. There's also the earlier HoistTMEMAlloc complication with warp specialization to keep in mind, though the two-loop approach works cleanly without it, and Triton's scf.if should handle the scalar conditional fine. I'll start with a v3 based on the simpler grid-based split before porting it over to stream-K.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gfvbbHw1TNAdX9Rb33","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'll stick with the non-WS path since warp specialization only compiles with a single loop and runs 2-3x slower anyway—the IR shows softmax never overlaps the tensor core since QK MMA issues after PV, and the accumulator gets rescaled through TMEM every iteration. Next I'll rotate the loop by hand and make the rescale conditional.\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":10782,"cache_read_input_tokens":80087,"cache_creation":{"ephemeral_5m_input_tokens":10782,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1ac23ddb-d064-4de7-9c16-3fe2d18f06a6","timestamp":"2026-10-17T23:35:43.971Z","request_id":"req_011Cg8gfvFzhy1Mdz5gsTiho","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gfvbbHw1TNAdX9Rb33","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01DFrkWpGbACKN6YDkYAiajN","name":"Bash","input":{"command":"cat > v3.py << 'EOF'\nimport math\nimport torch\nimport triton\nimport triton.language as tl\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\nNEG = tl.constexpr(-1.0e30)\nTAU = tl.constexpr(8.0)\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, S, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n               G: tl.constexpr, STAGES: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    sp = tl.program_id(0)\n    t = tl.program_id(1)\n    bh = t // n_mblk\n    mb = t - bh * n_mblk\n    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    j0 = (sp * nbm) // S\n    j1 = ((sp + 1) * nbm) // S\n    k_desc = tl.make_tensor_descriptor(K, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    b = bh // HKV\n    hk = bh - b * HKV\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    q_ptr = Q + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n    q = tl.load(q_ptr, mask=(qpos < Sq)[:, None], other=0.0)\n    m_i = tl.full((BM,), NEG, tl.float32)\n    l_i = tl.zeros((BM,), tl.float32)\n    acc = tl.zeros((BM, D), tl.float32)\n    kv_row0 = b * Sk\n    j_full = tl.minimum(tl.maximum((shift + mb * BMQ + 1) // BN, j0), j1)\n    if j0 < j_full:\n        # prologue: block j0\n        k = k_desc.load([kv_row0 + j0 * BN, hk * D])\n        s = tl.dot(q, k.T)\n        m_i = tl.max(s, 1) * qk_scale\n        pr = tl.math.exp2(s * qk_scale - m_i[:, None])\n        l_i = tl.sum(pr, 1)\n        p_prev = pr.to(tl.bfloat16)\n        for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\n            k = k_desc.load([kv_row0 + j * BN, hk * D])\n            s = tl.dot(q, k.T)\n            v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n            acc = tl.dot(p_prev, v, acc)\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            if tl.max(m_new - m_i, 0) > TAU:\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            pr = tl.math.exp2(s * qk_scale - m_i[:, None])\n            l_i += tl.sum(pr, 1)\n            p_prev = pr.to(tl.bfloat16)\n        v = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D])\n        acc = tl.dot(p_prev, v, acc)\n    for j in tl.range(j_full, j1, num_stages=1):\n        k = k_desc.load([kv_row0 + j * BN, hk * D])\n        s = tl.dot(q, k.T) * qk_scale\n        cols = j * BN + rn\n        ok = cols[None, :] <= (shift + qpos)[:, None]\n        s = tl.where(ok, s, float('-inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        alpha = tl.math.exp2(m_i - m_new)\n        pr = tl.math.exp2(s - m_new[:, None])\n        l_i = l_i * alpha + tl.sum(pr, 1)\n        acc = acc * alpha[:, None]\n        v = v_desc.load([kv_row0 + j * BN, hk * D])\n        acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n        m_i = m_new\n    slot = t * S + sp\n    o_ptr = Op + (slot.to(tl.int64) * BM + rows)[:, None] * D + rd[None, :]\n    tl.store(o_ptr, acc)\n    tl.store(Mp + slot * BM + rows, m_i)\n    tl.store(Lp + slot * BM + rows, l_i)\n\n\n@triton.jit\ndef _combine(Op, Mp, Lp, Out, Sq, n_mblk, S,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr,\n             G: tl.constexpr, RB: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    t = tl.program_id(0)\n    rb = tl.program_id(1)\n    bh = t // n_mblk\n    mb = t - bh * n_mblk\n    rows = rb * RB + tl.arange(0, RB)\n    rd = tl.arange(0, D)\n    m_max = tl.full((RB,), NEG, tl.float32)\n    for sp in range(0, S):\n        slot = t * S + sp\n        m_max = tl.maximum(m_max, tl.load(Mp + slot * BM + rows))\n    l_tot = tl.zeros((RB,), tl.float32)\n    acc = tl.zeros((RB, D), tl.float32)\n    for sp in range(0, S):\n        slot = t * S + sp\n        w = tl.math.exp2(tl.load(Mp + slot * BM + rows) - m_max)\n        l_tot += w * tl.load(Lp + slot * BM + rows)\n        o = tl.load(Op + (slot * BM + rows).to(tl.int64)[:, None] * D + rd[None, :])\n        acc += o * w[:, None]\n    acc = acc / l_tot[:, None]\n    b = bh // HKV\n    hk = bh - b * HKV\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    o_ptr = Out + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=(qpos < Sq)[:, None])\n\n\ndef kernel_fn(q, k, v, out, BN=64, STAGES=2, num_warps=4, S=4):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM = 128\n    BMQ = BM // G\n    shift = Sk - Sq\n    n_mblk = triton.cdiv(Sq, BMQ)\n    n_tiles = B * HKV * n_mblk\n    Op = torch.empty((n_tiles * S, BM, D), device=q.device, dtype=torch.float32)\n    Mp = torch.empty((n_tiles * S, BM), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((n_tiles * S, BM), device=q.device, dtype=torch.float32)\n    qk_scale = (D ** -0.5) * 1.4426950408889634\n    _fwd_split[(S, n_tiles)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, S, qk_scale,\n                             HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, STAGES=STAGES, num_warps=num_warps,\n                             num_stages=STAGES)\n    RB = 16\n    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, n_mblk, S,\n                                  HQ=HQ, HKV=HKV, D=D, BM=BM, G=G, RB=RB, num_warps=4)\nEOF\nfor cfg in \"dict(BN=64, STAGES=2, num_warps=4)\" \"dict(BN=64, STAGES=2, num_warps=8)\" \"dict(BN=128, STAGES=1, num_warps=8)\"; do echo \"== $cfg\"; timeout 600 python bench.py v3.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | tail -2; done","description":"Write v3 with loop rotation and conditional rescale, benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":10782,"cache_read_input_tokens":80087,"cache_creation":{"ephemeral_5m_input_tokens":10782,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0787d8ae-de7c-4734-852f-d5255989fe03","timestamp":"2026-10-17T23:36:02.733Z","request_id":"req_011Cg8gfvFzhy1Mdz5gsTiho"}
{"type":"system","subtype":"task_started","task_id":"b1rlqe2g3","run_id":"0mvd1c2nv-a40923d8","tool_use_id":"toolu_01DFrkWpGbACKN6YDkYAiajN","description":"Write v3 with loop rotation and conditional rescale, benchmark","is_backgrounded":false,"task_type":"local_bash","uuid":"9d013942-75b9-4e3e-ae99-31551b13f684","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01DFrkWpGbACKN6YDkYAiajN","type":"tool_result","content":"== dict(BN=64, STAGES=2, num_warps=4)\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed\n== dict(BN=64, STAGES=2, num_warps=8)\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed\n== dict(BN=128, STAGES=1, num_warps=8)\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c2c5a68e-64fd-4ae9-9f45-0065d1ad2a8f","timestamp":"2026-10-17T23:36:21.590Z","tool_use_result":{"stdout":"== dict(BN=64, STAGES=2, num_warps=4)\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed\n== dict(BN=64, STAGES=2, num_warps=8)\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed\n== dict(BN=128, STAGES=1, num_warps=8)\nTraceback (most recent call last):\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01DFrkWpGbACKN6YDkYAiajN","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gq9roPpNhk2ieTPNfX","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01RyXT3x65RB534NYXa4WMRT","name":"Bash","input":{"command":"timeout 600 python bench.py v3.py \"dict(BN=64, STAGES=2, num_warps=4)\" --one 2>&1 | grep -v \"^  \" | grep -i \"error\\|fail\\|note\" | head","description":"Show v3 compile error details"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":12539,"cache_read_input_tokens":90869,"cache_creation":{"ephemeral_5m_input_tokens":12539,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"dd9cbe7d-84d2-4557-8099-70bbb3b2a3ee","timestamp":"2026-10-17T23:36:28.730Z","request_id":"req_011Cg8gq9Vimnh7FP7sjd8Q3"}
{"type":"system","subtype":"task_started","task_id":"bc5yz1wbo","run_id":"0mvd1cmpy-0202083f","tool_use_id":"toolu_01RyXT3x65RB534NYXa4WMRT","description":"Show v3 compile error details","is_backgrounded":false,"task_type":"local_bash","uuid":"b8f7facb-9b12-4981-81eb-e546f0cb2cf6","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bc5yz1wbo","run_id":"0mvd1cmpy-0202083f","tool_use_id":"toolu_01RyXT3x65RB534NYXa4WMRT","status":"completed","output_file":"","summary":"Show v3 compile error details","uuid":"78794809-0f00-4362-a931-5b73ac26217d","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01RyXT3x65RB534NYXa4WMRT","type":"tool_result","content":"<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\n/workspace/dev/v3.py:18:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v3.py:18:0: note: Pipeline failed while executing [`TritonNvidiaGPUOptimizeTMemLayoutsPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1b0659e6-5179-477e-99ec-dc1e608fc905","timestamp":"2026-10-17T23:36:35.244Z","tool_use_result":{"stdout":"<unknown>:0: error: parent layout must have at least rank >= 2\npython: /root/.triton/llvm/llvm-1f126a6d-almalinux-x64-1/include/mlir/IR/StorageUniquerSupport.h:180: static ConcreteT mlir::detail::StorageUserBase<mlir::triton::gpu::SliceEncodingAttr, mlir::Attribute, mlir::triton::gpu::detail::SliceEncodingAttrStorage, mlir::detail::AttributeUniquer, mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>::get(MLIRContext *, Args &&...) [ConcreteT = mlir::triton::gpu::SliceEncodingAttr, BaseT = mlir::Attribute, StorageT = mlir::triton::gpu::detail::SliceEncodingAttrStorage, UniquerT = mlir::detail::AttributeUniquer, Traits = <mlir::triton::gpu::DistributedEncodingTrait::Trait, mlir::triton::gpu::LayoutEncodingTrait::Trait>, Args = <unsigned int, mlir::triton::gpu::DistributedEncodingTrait>]: Assertion `succeeded( ConcreteT::verifyInvariants(getDefaultDiagnosticEmitFn(ctx), args...))' failed.\n/workspace/dev/v3.py:18:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v3.py:18:0: note: Pipeline failed while executing [`TritonNvidiaGPUOptimizeTMemLayoutsPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01RyXT3x65RB534NYXa4WMRT","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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I should try computing the need flag a different way to avoid that scalar reduction entirely.\n\nTrying a few reduction formulations to sidestep the layout error, but I suspect the real culprit is deeper in the TMEM layout optimization pass itself — it's likely trying to propagate a rank-2 TMEM-friendly layout onto something that got sliced down to rank 1, which violates the pass's assumption that parent layouts need rank >= 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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01LUmMVgNJSBKwHTHaWi89y4","type":"tool_result","content":"== A\n(1, 256, 131072) ok=True  t=3296.2us expert=379 ratio=0.115 TFLOPS=167\ngeomean ratio vs expert: 0.1149800458085522\n== B\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v3B.py:18:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v3B.py:18:0: note: Pipeline failed while executing [`TritonNvidiaGPUOptimizeTMemLayoutsPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\n== C\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v3C.py:18:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v3C.py:18:0: note: Pipeline failed while executing [`TritonNvidiaGPUOptimizeTMemLayoutsPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"9a7558c9-fedc-473a-b198-65a44dbe75db","timestamp":"2026-10-17T23:37:16.382Z","tool_use_result":{"stdout":"== A\n(1, 256, 131072) ok=True  t=3296.2us expert=379 ratio=0.115 TFLOPS=167\ngeomean ratio vs expert: 0.1149800458085522\n== B\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v3B.py:18:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v3B.py:18:0: note: Pipeline failed while executing [`TritonNvidiaGPUOptimizeTMemLayoutsPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\n== C\n<unknown>:0: error: parent layout must have at least rank >= 2\n/workspace/dev/v3C.py:18:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v3C.py:18:0: note: Pipeline failed while executing [`TritonNvidiaGPUOptimizeTMemLayoutsPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01LUmMVgNJSBKwHTHaWi89y4","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8guCBKVdyeGiFuUs3VR","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Variant A works but is slow at 3296us with 4 warps. I'm wondering if the tmem_load for the 128×256 accumulator with 4 warps is causing register spills, so I want to try 8 warps and check the TTGIR to confirm.\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":2044,"cache_read_input_tokens":104266,"cache_creation":{"ephemeral_5m_input_tokens":2044,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"6b4e4b6d-e9f6-448c-9566-ffe6d020a1d0","timestamp":"2026-10-17T23:37:21.487Z","request_id":"req_011Cg8guBpjCJ2nAWdytvmFr","thinking_duration_ms":2754,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8guCBKVdyeGiFuUs3VR","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_013VN22TMM3dAhsoB3Rs6nJE","name":"Bash","input":{"command":"for cfg in \"dict(BN=64, STAGES=2, num_warps=8)\" \"dict(BN=128, STAGES=1, num_warps=8)\"; do echo \"== $cfg\"; timeout 600 python bench.py v3A.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | tail -2; done; timeout 300 python dump.py v3A.py \"dict(BN=64, STAGES=2, num_warps=8, S=4)\" /tmp/v3a 2>&1 | tail -1; grep -n \"tc_gen5_mma\\|tmem_load\\|tmem_store\\|wait_barrier\\|scf.for\\|scf.if\\|async_tma\\|ttg.local_load\\|ttg.local_store\\|gpu.barrier\" /tmp/v3a.ttgir | sed -n 1,200p | cut -c1-220 | grep -n \"\" | sed -n 1,80p","description":"Benchmark v3A with 8 warps and inspect its TTGIR"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2044,"cache_read_input_tokens":104266,"cache_creation":{"ephemeral_5m_input_tokens":2044,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"fd39da6d-2fef-4a59-8116-bfe476db381b","timestamp":"2026-10-17T23:37:22.716Z","request_id":"req_011Cg8guBpjCJ2nAWdytvmFr"}
{"type":"system","subtype":"task_started","task_id":"b322ia1wi","run_id":"0mvd1dsdh-5642c52f","tool_use_id":"toolu_013VN22TMM3dAhsoB3Rs6nJE","description":"Benchmark v3A with 8 warps and inspect its TTGIR","is_backgrounded":false,"task_type":"local_bash","uuid":"80679da3-5130-4f2b-8523-a3925cfca0b1","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"b322ia1wi","run_id":"0mvd1dsdh-5642c52f","tool_use_id":"toolu_013VN22TMM3dAhsoB3Rs6nJE","status":"completed","output_file":"","summary":"Benchmark v3A with 8 warps and inspect its TTGIR","uuid":"c9cb9177-deb1-495b-bc59-d89588bc729b","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_013VN22TMM3dAhsoB3Rs6nJE","type":"tool_result","content":"== dict(BN=64, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=1204.2us expert=379 ratio=0.315 TFLOPS=457\ngeomean ratio vs expert: 0.3147255020732519\n== dict(BN=128, STAGES=1, num_warps=8)\n(1, 256, 131072) ok=True  t=1199.0us expert=379 ratio=0.316 TFLOPS=459\ngeomean ratio vs expert: 0.31610306410784134\nshared 167976 tmem 512 num_warps 8\n1:153:    ttng.tmem_store %cst_0, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc291)\n2:154:    %1:2 = scf.if %0 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>) {\n3:163:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_81, %k_82] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #share\n4:164:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc213)\n5:167:      ttng.tmem_store %cst_4, %s_86, %true : tensor<128x64xf32, #linear2> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc214)\n6:171:      ttng.tc_gen5_mma %q_58, %s_84, %s_86, %true, %true, %s_87[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #t\n7:172:      ttng.wait_barrier %s_87, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc214)\n8:174:      %s_88 = ttng.tmem_load %s_86 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc214)\n9:216:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_107, %k_82] %k_108, %l_i_101, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16\n10:219:      ttng.wait_barrier %l_i_101, %c0_i32, %l_i_105 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n11:222:      ttng.tc_gen5_mma %q_58, %s_109, %s_112, %false, %l_i_105, %l_i_97[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #t\n12:225:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_81, %k_82] %v_113, %l_i_104, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16,\n13:230:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_115, %k_82] %k_116, %l_i_102, %l_i_111 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16\n14:233:      %l_i_118:13 = scf.for %l_i_128 = %12 to %l_i_117 step %c1_i32 iter_args(%m_i_129 = %m_i_90, %l_i_130 = %l_i, %p_prev_131 = %p_prev, %arg16 = %false, %arg17 = %c0_i32, %arg18 = %c1_i32, %arg19 = %c0_i32, %arg20 \n15:243:        ttng.wait_barrier %l_i_142, %l_i_141 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n16:248:        ttng.tc_gen5_mma %acc_144, %v_143, %acc, %arg16, %true, %acc_145[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<12\n17:249:        ttng.wait_barrier %acc_145, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc291)\n18:251:        ttng.wait_barrier %l_i_132, %arg24 deps %q_58, %s_133 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable> loc(#loc2\n19:252:        %s_146 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n20:270:        %acc_149 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc291)\n21:271:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n22:295:        ttng.tmem_store %19#1, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc291)\n23:302:        ttng.wait_barrier %l_i_163, %l_i_162, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n24:306:        ttng.tc_gen5_mma %q_58, %s_165, %s_112, %false, %true, %l_i_166[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #t\n25:310:        ttng.async_tma_copy_global_to_local %v_desc_21[%v_168, %k_82] %v_113, %l_i_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16,\n26:322:        ttng.async_tma_copy_global_to_local %k_desc_20[%k_176, %k_82] %k_178, %l_i_177, %l_i_136 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf\n27:326:      %l_i_120:3 = scf.if %l_i_105 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x64xbf16, #linear>) {\n28:333:        ttng.wait_barrier %l_i_133, %l_i_132 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n29:338:        ttng.tc_gen5_mma %acc_135, %v_134, %acc, %l_i_118#3, %true, %acc_136[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdes\n30:339:        ttng.wait_barrier %acc_136, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc291)\n31:341:        ttng.wait_barrier %l_i_118#10, %l_i_118#11 deps %q_58, %l_i_118#12 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutab\n32:342:        %s_137 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n33:360:        %acc_140 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc291)\n34:361:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n35:385:        ttng.tmem_store %19#1, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc291)\n36:407:      ttng.async_tma_copy_global_to_local %v_desc_21[%v_123, %k_82] %v_124, %v_125, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #sh\n37:408:      ttng.wait_barrier %v_125, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc250)\n38:413:      ttng.tc_gen5_mma %acc_126, %v_124, %acc, %true, %true, %acc_127[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x2\n39:414:      ttng.wait_barrier %acc_127, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc305)\n40:428:    %acc_67:2 = scf.for %acc_80 = %j_full_62 to %j1_19 step %c1_i32 iter_args(%arg13 = %1#0, %arg14 = %1#1) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = \n41:436:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_82, %k] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, \n42:437:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc261)\n43:441:      ttng.tc_gen5_mma %q_58, %s_84, %s_66, %false, %true, %s_86[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #\n44:442:      ttng.wait_barrier %s_86, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc257)\n45:449:      %s_91 = ttng.tmem_load %s_66 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc257)\n46:478:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_82, %k] %v, %v_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #s\n47:479:      ttng.wait_barrier %v_104, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc277)\n48:483:      %acc_107 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc279)\n49:485:      ttng.tmem_store %acc_108, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc279)\n50:489:      ttng.tc_gen5_mma %acc_109, %v, %acc, %true, %true, %acc_110[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf\n51:490:      ttng.wait_barrier %acc_110, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc279)\n52:507:    %acc_79 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc279)","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c1138f02-555a-43e0-a5e6-ef468fe5e04e","timestamp":"2026-10-17T23:37:44.825Z","tool_use_result":{"stdout":"== dict(BN=64, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=1204.2us expert=379 ratio=0.315 TFLOPS=457\ngeomean ratio vs expert: 0.3147255020732519\n== dict(BN=128, STAGES=1, num_warps=8)\n(1, 256, 131072) ok=True  t=1199.0us expert=379 ratio=0.316 TFLOPS=459\ngeomean ratio vs expert: 0.31610306410784134\nshared 167976 tmem 512 num_warps 8\n1:153:    ttng.tmem_store %cst_0, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc291)\n2:154:    %1:2 = scf.if %0 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>) {\n3:163:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_81, %k_82] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #share\n4:164:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc213)\n5:167:      ttng.tmem_store %cst_4, %s_86, %true : tensor<128x64xf32, #linear2> -> !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc214)\n6:171:      ttng.tc_gen5_mma %q_58, %s_84, %s_86, %true, %true, %s_87[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #t\n7:172:      ttng.wait_barrier %s_87, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc214)\n8:174:      %s_88 = ttng.tmem_load %s_86 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc214)\n9:216:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_107, %k_82] %k_108, %l_i_101, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16\n10:219:      ttng.wait_barrier %l_i_101, %c0_i32, %l_i_105 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n11:222:      ttng.tc_gen5_mma %q_58, %s_109, %s_112, %false, %l_i_105, %l_i_97[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #t\n12:225:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_81, %k_82] %v_113, %l_i_104, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16,\n13:230:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_115, %k_82] %k_116, %l_i_102, %l_i_111 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16\n14:233:      %l_i_118:13 = scf.for %l_i_128 = %12 to %l_i_117 step %c1_i32 iter_args(%m_i_129 = %m_i_90, %l_i_130 = %l_i, %p_prev_131 = %p_prev, %arg16 = %false, %arg17 = %c0_i32, %arg18 = %c1_i32, %arg19 = %c0_i32, %arg20 \n15:243:        ttng.wait_barrier %l_i_142, %l_i_141 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n16:248:        ttng.tc_gen5_mma %acc_144, %v_143, %acc, %arg16, %true, %acc_145[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<12\n17:249:        ttng.wait_barrier %acc_145, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc291)\n18:251:        ttng.wait_barrier %l_i_132, %arg24 deps %q_58, %s_133 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable> loc(#loc2\n19:252:        %s_146 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n20:270:        %acc_149 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc291)\n21:271:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n22:295:        ttng.tmem_store %19#1, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc291)\n23:302:        ttng.wait_barrier %l_i_163, %l_i_162, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n24:306:        ttng.tc_gen5_mma %q_58, %s_165, %s_112, %false, %true, %l_i_166[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #t\n25:310:        ttng.async_tma_copy_global_to_local %v_desc_21[%v_168, %k_82] %v_113, %l_i_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16,\n26:322:        ttng.async_tma_copy_global_to_local %k_desc_20[%k_176, %k_82] %k_178, %l_i_177, %l_i_136 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf\n27:326:      %l_i_120:3 = scf.if %l_i_105 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x64xbf16, #linear>) {\n28:333:        ttng.wait_barrier %l_i_133, %l_i_132 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc326)\n29:338:        ttng.tc_gen5_mma %acc_135, %v_134, %acc, %l_i_118#3, %true, %acc_136[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdes\n30:339:        ttng.wait_barrier %acc_136, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc291)\n31:341:        ttng.wait_barrier %l_i_118#10, %l_i_118#11 deps %q_58, %l_i_118#12 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutab\n32:342:        %s_137 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n33:360:        %acc_140 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc291)\n34:361:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n35:385:        ttng.tmem_store %19#1, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc291)\n36:407:      ttng.async_tma_copy_global_to_local %v_desc_21[%v_123, %k_82] %v_124, %v_125, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #sh\n37:408:      ttng.wait_barrier %v_125, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc250)\n38:413:      ttng.tc_gen5_mma %acc_126, %v_124, %acc, %true, %true, %acc_127[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x2\n39:414:      ttng.wait_barrier %acc_127, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc305)\n40:428:    %acc_67:2 = scf.for %acc_80 = %j_full_62 to %j1_19 step %c1_i32 iter_args(%arg13 = %1#0, %arg14 = %1#1) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = \n41:436:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_82, %k] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, \n42:437:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc261)\n43:441:      ttng.tc_gen5_mma %q_58, %s_84, %s_66, %false, %true, %s_86[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem1, #\n44:442:      ttng.wait_barrier %s_86, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc257)\n45:449:      %s_91 = ttng.tmem_load %s_66 : !ttg.memdesc<128x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc257)\n46:478:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_82, %k] %v, %v_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #s\n47:479:      ttng.wait_barrier %v_104, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc277)\n48:483:      %acc_107 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc279)\n49:485:      ttng.tmem_store %acc_108, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc279)\n50:489:      ttng.tc_gen5_mma %acc_109, %v, %acc, %true, %true, %acc_110[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem1, #ttng.tensor_memory>, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<128x256xf\n51:490:      ttng.wait_barrier %acc_110, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc279)\n52:507:    %acc_79 = ttng.tmem_load %acc : !ttg.memdesc<128x256xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc279)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_013VN22TMM3dAhsoB3Rs6nJE","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":6,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a782ca71-1bff-4c98-83f5-4b1f2d0b48ee"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":9,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"31536c58-eaef-4d19-8ccc-aed82b4da785"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":11,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d731ebe7-ffdc-42cc-baa2-65115412f562"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":13,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e595b4ff-99bf-4b87-ad4f-0d10168432cb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":14,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"04bdb6ff-9e5b-44e3-9773-76c6af3c60e4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":19,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0cbc780c-bda0-4f9d-98df-1d5192796630"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"3a0c4da6-9ea4-4142-9ed8-1a0ac2041261"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":25,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1ce98795-3ec0-4c50-8b31-e92e2ddfe186"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gwHkUgzkQ7TdHkaBTJ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tracing through the loop structure: PV issues, waits on the barrier right away, then loads the accumulator unconditionally before the conditional branch, computes on registers inside the scf.if, and stores back the accumulator afterward.\n\nThat means the compiler is pulling the TMEM load/store outside the conditional entirely, forcing a full round trip through TMEM every iteration regardless of whether rescaling is actually needed. So the intended conditional rescale isn't behaving as designed in Triton, and I need another approach—maybe avoiding in-place rescaling altogether, since precomputing a global max would double the QK cost, and a lazy rescale with exponent offsets might preserve correctness without the forced round trip.\n\nThinking more carefully, since both bf16 and fp32 share the same exponent range (up to ~2^128), the rescale threshold TAU can actually be much larger than I assumed—maybe 64 or more—since even with p values up to 2^64 and realistic v magnitudes, summing across 2^17 keys won't overflow fp32. That means rescaling becomes a rare event in practice, only triggered when the running max grows by more than TAU, though adversarial data with widely varying scales could still force it more often.\n\nBut the real sticking point remains: the compiler hoists the tmem load/store out of the conditional, so it executes every iteration regardless. I need a different structural trick so the rescale instructions aren't always executed, perhaps avoiding touching the accumulator directly during normal iterations and only modifying it when an actual rescale is triggered.\n\nI recall the HoistTMEMAlloc pass loads before an scf.if and stores after, so I'm wondering if moving the MMA call inside both branches of the conditional would let the pass sink the tmem load/store into each branch instead — though I'm not sure that actually works.\n\nAlternatively, I consider avoiding the scf.if altogether by precomputing a cheap upper bound on the row max using a Cauchy-Schwarz style bound (|q·k| ≤ |q|·|k|), but that would require an extra pass over K to get per-block max norms, adding too much memory traffic. A looser bound using global max-norm of K would likely make the softmax estimate too imprecise to be useful.\n\nTesting that bound in my head, I realize it can cause the probabilities to underflow entirely to zero since the gap between the bound and the actual max can be enormous, so all exponentials vanish and the sum becomes zero -- this doesn't work. I also consider keeping a stale max with a large threshold and avoiding rescale by letting the accumulator mix exponents relative to different maxes, but that breaks the running sum unless I track the mismatch carefully.\n\nBut discarding old contributions without zeroing acc doesn't actually work — that would require a full use_acc=False reset, which clears the entire tile, not just specific rows. This gets tricky when only some rows have jumped past TAU while others haven't, since I can't selectively zero per-row accumulator state. I need to pick a per-row reference max carefully so the exponentiated values don't overflow while summing across up to 131K keys with values around 2^20 magnitude.\n\nI realize simply jumping m_i to m_blk without rescaling acc would assign the old accumulated contributions an incorrectly large weight, so that approach breaks unless acc is zeroed too. That pushes me back toward accepting the TMEM round-trip but trying to make it infrequent, so I'm looking at how Triton's compiler passes handle hoisting TMEM allocations out of conditionals, particularly in the Blackwell flash-attention tutorial.\n\nThe Gluon flash-attention example does conditional rescaling with explicit TMEM loads inside a correction partition, which makes me wonder if structuring the scf.if so the compiler can't hoist the TMEM ops would help—since the automatic hoisting seems to convert a loop-carried accumulator into TMEM load/store pairs around the if, I'm considering placing the PV dot product inside both branches instead.\n\nBy computing the dot into both the then and else branches, the accumulator's register value never escapes the if, and its result becomes the already-updated TMEM accumulator; this should also eliminate the need for an explicit wait on the PV MMA since successive MMAs writing the same accumulator are hardware-ordered. I'm sketching out the restructured loop body where each iteration loads K and V, computes the score and running max, conditionally rescales using exp2 of the max difference, and folds the PV accumulation into that same conditional block.\n\nLooking at the timeline, QK and PV issue serially but the exp/sum/convert softmax work overlaps with PV, giving roughly 1100 clocks per 64-row block — around 240us total across all CTAs, which looks promising. To push further and overlap QK of the next iteration with the current softmax, I'd need deeper software pipelining.\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":6111,"cache_read_input_tokens":106310,"cache_creation":{"ephemeral_5m_input_tokens":6111,"ephemeral_1h_input_tokens":0},"output_t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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gwHkUgzkQ7TdHkaBTJ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The IR reveals Triton is hoisting the accumulator's TMEM load/store out of the `if`, forcing a full 128×256 round trip every iteration. I'll move the PV dot into both branches so the accumulator stays in TMEM except during the rare rescale path.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6111,"cache_read_input_tokens":106310,"cache_creation":{"ephemeral_5m_input_tokens":6111,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0fa5b911-f509-4048-8d47-d5e511732066","timestamp":"2026-10-17T23:38:33.640Z","request_id":"req_011Cg8gwHPfAfxo49TRJaZgy","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8gwHkUgzkQ7TdHkaBTJ","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_016eeib8tWvNk73xNWxhGXdm","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('v3A.py').read()\nold = \"\"\"            k = k_desc.load([kv_row0 + j * BN, hk * D])\n            s = tl.dot(q, k.T)\n            v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n            acc = tl.dot(p_prev, v, acc)\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            if tl.max(tl.reshape(m_new - m_i, [BM // 32, 32]), axis=None) > TAU:\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\"\"\"\nnew = \"\"\"            k = k_desc.load([kv_row0 + j * BN, hk * D])\n            s = tl.dot(q, k.T)\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n            if tl.max(tl.reshape(m_new - m_i, [BM // 32, 32]), axis=None) > TAU:\n                alpha = tl.math.exp2(m_i - m_new)\n                acc = tl.dot(p_prev, v, acc)\n                acc = acc * alpha[:, None]\n                l_i = l_i * alpha\n                m_i = m_new\n            else:\n                acc = tl.dot(p_prev, v, acc)\n\"\"\"\nassert old in src\nopen('v4.py', 'w').write(src.replace(old, new))\nEOF\nfor cfg in \"dict(BN=64, STAGES=2, num_warps=4)\" \"dict(BN=64, STAGES=2, num_warps=8)\"; do echo \"== $cfg\"; timeout 600 python bench.py v4.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | tail -2; done; timeout 300 python dump.py v4.py \"dict(BN=64, STAGES=2, num_warps=8, S=4)\" /tmp/v4 2>&1 | tail -1; grep -n \"tc_gen5_mma\\|tmem_load\\|tmem_store\\|wait_barrier\\|scf.for\\|scf.if\\|async_tma\\|} else {\" /tmp/v4.ttgir | cut -c1-160 | sed -n 1,60p","description":"Move PV dot into both branches of the rescale if and test"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6111,"cache_read_input_tokens":106310,"cache_creation":{"ephemeral_5m_input_tokens":6111,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"f11a5628-f855-4088-bb14-8aa7c05da7c6","timestamp":"2026-10-17T23:38:37.779Z","request_id":"req_011Cg8gwHPfAfxo49TRJaZgy"}
{"type":"system","subtype":"task_started","task_id":"bsx8gtcec","run_id":"0mvd1fean-14002bea","tool_use_id":"toolu_016eeib8tWvNk73xNWxhGXdm","description":"Move PV dot into both branches of the rescale if and test","is_backgrounded":false,"task_type":"local_bash","uuid":"c2a5a127-9308-4a7a-b3c2-01e2a91ae5af","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bsx8gtcec","run_id":"0mvd1fean-14002bea","tool_use_id":"toolu_016eeib8tWvNk73xNWxhGXdm","status":"completed","output_file":"","summary":"Move PV dot into both branches of the rescale if and test","uuid":"f0dcb33f-33f5-4fb9-b6f1-82e3837633a6","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_016eeib8tWvNk73xNWxhGXdm","type":"tool_result","content":"== dict(BN=64, STAGES=2, num_warps=4)\n(1, 256, 131072) ok=True  t=3144.7us expert=379 ratio=0.121 TFLOPS=175\ngeomean ratio vs expert: 0.1205213166930888\n== dict(BN=64, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=1128.4us expert=379 ratio=0.336 TFLOPS=487\ngeomean ratio vs expert: 0.33587856791735016\nshared 180776 tmem 512 num_warps 8\n152:    %1:3 = scf.if %0 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256x\n161:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_81, %k_82] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #\n162:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc213)\n165:      ttng.tmem_store %cst_4, %s_86, %true : tensor<128x64xf32, #linear2> -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc214)\n169:      ttng.tc_gen5_mma %q_58, %s_84, %s_86, %true, %true, %s_87[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #s\n170:      ttng.wait_barrier %s_87, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc214)\n172:      %s_88 = ttng.tmem_load %s_86 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc214)\n214:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_107, %k_82] %k_108, %l_i_101, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<\n217:      ttng.wait_barrier %l_i_101, %c0_i32, %l_i_105 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n220:      ttng.tc_gen5_mma %q_58, %s_109, %s_112, %false, %l_i_105, %l_i_97[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64x\n223:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_81, %k_82] %v_113, %l_i_104, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1\n228:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_115, %k_82] %k_116, %l_i_102, %l_i_111 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<\n231:      %l_i_118:13 = scf.for %l_i_130 = %12 to %l_i_117 step %c1_i32 iter_args(%m_i_131 = %m_i_90, %l_i_132 = %l_i, %arg15 = %cst_0, %p_prev_133 = %p_prev, %\n235:        ttng.wait_barrier %l_i_134, %arg24 deps %q_58, %s_135 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !\n241:        %s_144 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n250:        ttng.wait_barrier %l_i_147, %l_i_143 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n262:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n266:          ttng.tmem_store %arg15, %acc_179, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n270:          ttng.tc_gen5_mma %p_prev_138, %v_148, %acc_179, %true, %true, %acc_180[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n271:          ttng.wait_barrier %acc_180, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc236)\n276:          %acc_184 = ttng.tmem_load %acc_179 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc236)\n280:        } else {\n282:          ttng.tmem_store %arg15, %acc_178, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n286:          ttng.tc_gen5_mma %p_prev_138, %v_148, %acc_178, %true, %true, %acc_179[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n287:          ttng.wait_barrier %acc_179, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc304)\n289:          %acc_180 = ttng.tmem_load %acc_178 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc304)\n310:        ttng.wait_barrier %l_i_162, %l_i_161, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n314:        ttng.tc_gen5_mma %q_58, %s_164, %s_112, %false, %true, %l_i_165[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64x\n318:        ttng.async_tma_copy_global_to_local %v_desc_21[%v_167, %k_82] %v_113, %l_i_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1\n330:        ttng.async_tma_copy_global_to_local %k_desc_20[%k_175, %k_82] %k_177, %l_i_176, %l_i_137 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdes\n334:      %l_i_120:4 = scf.if %l_i_105 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, t\n335:        ttng.wait_barrier %l_i_118#10, %l_i_118#11 deps %q_58, %l_i_118#12 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shar\n341:        %s_135 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n350:        ttng.wait_barrier %l_i_138, %l_i_134 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n362:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n366:          ttng.tmem_store %l_i_118#2, %acc_149, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc\n370:          ttng.tc_gen5_mma %p_prev_119, %v_139, %acc_149, %true, %true, %acc_150[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n371:          ttng.wait_barrier %acc_150, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc236)\n376:          %acc_154 = ttng.tmem_load %acc_149 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc236)\n380:        } else {\n382:          ttng.tmem_store %l_i_118#2, %acc_148, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc\n386:          ttng.tc_gen5_mma %p_prev_119, %v_139, %acc_148, %true, %true, %acc_149[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n387:          ttng.wait_barrier %acc_149, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc304)\n389:          %acc_150 = ttng.tmem_load %acc_148 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc304)\n405:      } else {\n425:      ttng.async_tma_copy_global_to_local %v_desc_21[%v_123, %k_82] %v_124, %v_125, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64\n426:      ttng.wait_barrier %v_125, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc252)\n429:      ttng.tmem_store %l_i_120#2, %acc_126, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n433:      ttng.tc_gen5_mma %acc_127, %v_124, %acc_126, %true, %true, %acc_128[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory>, !ttg.me\n434:      ttng.wait_barrier %acc_128, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc307)\n436:      %acc_129 = ttng.tmem_load %acc_126 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc307)\n438:    } else {\n448:    ttng.tmem_store %1#2, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc259)\n451:    %acc_67:2 = scf.for %acc_80 = %j_full_62 to %j1_19 step %c1_i32 iter_args(%arg13 = %1#0, %arg14 = %1#1) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent \n459:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_82, %k] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #sha\n460:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc264)\n464:      ttng.tc_gen5_mma %q_58, %s_84, %s_66, %false, %true, %s_86[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #\n465:      ttng.wait_barrier %s_86, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc260)\n472:      %s_91 = ttng.tmem_load %s_66 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc260)\n501:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_82, %k] %v, %v_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #share","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"6e41519d-f147-4d07-8f5f-1b96644e6e70","timestamp":"2026-10-17T23:39:07.459Z","tool_use_result":{"stdout":"== dict(BN=64, STAGES=2, num_warps=4)\n(1, 256, 131072) ok=True  t=3144.7us expert=379 ratio=0.121 TFLOPS=175\ngeomean ratio vs expert: 0.1205213166930888\n== dict(BN=64, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=1128.4us expert=379 ratio=0.336 TFLOPS=487\ngeomean ratio vs expert: 0.33587856791735016\nshared 180776 tmem 512 num_warps 8\n152:    %1:3 = scf.if %0 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256x\n161:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_81, %k_82] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #\n162:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc213)\n165:      ttng.tmem_store %cst_4, %s_86, %true : tensor<128x64xf32, #linear2> -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc214)\n169:      ttng.tc_gen5_mma %q_58, %s_84, %s_86, %true, %true, %s_87[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #s\n170:      ttng.wait_barrier %s_87, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc214)\n172:      %s_88 = ttng.tmem_load %s_86 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc214)\n214:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_107, %k_82] %k_108, %l_i_101, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<\n217:      ttng.wait_barrier %l_i_101, %c0_i32, %l_i_105 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n220:      ttng.tc_gen5_mma %q_58, %s_109, %s_112, %false, %l_i_105, %l_i_97[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64x\n223:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_81, %k_82] %v_113, %l_i_104, %l_i_105 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1\n228:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_115, %k_82] %k_116, %l_i_102, %l_i_111 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<\n231:      %l_i_118:13 = scf.for %l_i_130 = %12 to %l_i_117 step %c1_i32 iter_args(%m_i_131 = %m_i_90, %l_i_132 = %l_i, %arg15 = %cst_0, %p_prev_133 = %p_prev, %\n235:        ttng.wait_barrier %l_i_134, %arg24 deps %q_58, %s_135 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #smem>, !\n241:        %s_144 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n250:        ttng.wait_barrier %l_i_147, %l_i_143 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n262:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n266:          ttng.tmem_store %arg15, %acc_179, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n270:          ttng.tc_gen5_mma %p_prev_138, %v_148, %acc_179, %true, %true, %acc_180[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n271:          ttng.wait_barrier %acc_180, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc236)\n276:          %acc_184 = ttng.tmem_load %acc_179 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc236)\n280:        } else {\n282:          ttng.tmem_store %arg15, %acc_178, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n286:          ttng.tc_gen5_mma %p_prev_138, %v_148, %acc_178, %true, %true, %acc_179[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n287:          ttng.wait_barrier %acc_179, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc304)\n289:          %acc_180 = ttng.tmem_load %acc_178 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc304)\n310:        ttng.wait_barrier %l_i_162, %l_i_161, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n314:        ttng.tc_gen5_mma %q_58, %s_164, %s_112, %false, %true, %l_i_165[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64x\n318:        ttng.async_tma_copy_global_to_local %v_desc_21[%v_167, %k_82] %v_113, %l_i_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1\n330:        ttng.async_tma_copy_global_to_local %k_desc_20[%k_175, %k_82] %k_177, %l_i_176, %l_i_137 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdes\n334:      %l_i_120:4 = scf.if %l_i_105 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, t\n335:        ttng.wait_barrier %l_i_118#10, %l_i_118#11 deps %q_58, %l_i_118#12 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shar\n341:        %s_135 = ttng.tmem_load %s_112 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc228)\n350:        ttng.wait_barrier %l_i_138, %l_i_134 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc328)\n362:        %19:2 = scf.if %17 -> (tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128x256xf32, #linear1>) {\n366:          ttng.tmem_store %l_i_118#2, %acc_149, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc\n370:          ttng.tc_gen5_mma %p_prev_119, %v_139, %acc_149, %true, %true, %acc_150[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n371:          ttng.wait_barrier %acc_150, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc236)\n376:          %acc_154 = ttng.tmem_load %acc_149 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc236)\n380:        } else {\n382:          ttng.tmem_store %l_i_118#2, %acc_148, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc\n386:          ttng.tc_gen5_mma %p_prev_119, %v_139, %acc_148, %true, %true, %acc_149[%true] {is_async} : !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc\n387:          ttng.wait_barrier %acc_149, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc304)\n389:          %acc_150 = ttng.tmem_load %acc_148 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc304)\n405:      } else {\n425:      ttng.async_tma_copy_global_to_local %v_desc_21[%v_123, %k_82] %v_124, %v_125, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64\n426:      ttng.wait_barrier %v_125, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc252)\n429:      ttng.tmem_store %l_i_120#2, %acc_126, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#lo\n433:      ttng.tc_gen5_mma %acc_127, %v_124, %acc_126, %true, %true, %acc_128[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory>, !ttg.me\n434:      ttng.wait_barrier %acc_128, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc307)\n436:      %acc_129 = ttng.tmem_load %acc_126 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#loc307)\n438:    } else {\n448:    ttng.tmem_store %1#2, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc259)\n451:    %acc_67:2 = scf.for %acc_80 = %j_full_62 to %j1_19 step %c1_i32 iter_args(%arg13 = %1#0, %arg14 = %1#1) -> (tensor<128xf32, #ttg.slice<{dim = 1, parent \n459:      ttng.async_tma_copy_global_to_local %k_desc_20[%k_82, %k] %k_83, %k_85, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #sha\n460:      ttng.wait_barrier %k_85, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc264)\n464:      ttng.tc_gen5_mma %q_58, %s_84, %s_66, %false, %true, %s_86[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdesc<256x64xbf16, #\n465:      ttng.wait_barrier %s_86, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc260)\n472:      %s_91 = ttng.tmem_load %s_66 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc260)\n501:      ttng.async_tma_copy_global_to_local %v_desc_21[%k_82, %k] %v, %v_104, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #share","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_016eeib8tWvNk73xNWxhGXdm","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":8,"estimated_tokens_delta":8,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ebbbf958-3099-4ce2-9fbc-57bdad23b204"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":14,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ce44ea7a-d39e-43e8-b194-fb0503a1e3f8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":15,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1efe5882-21fd-42a1-bf5e-8d6517836dcb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":23,"estimated_tokens_delta":8,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"aa0c7ada-af1e-49ba-8547-7318c263cc2b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":32,"estimated_tokens_delta":9,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"471fbe5d-6418-443c-a1cc-0e7c86e56eff"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":36,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d3305398-1b24-4e50-b67e-76b8bf7d6608"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":38,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"89d42d84-29c3-4574-88a0-2be07a3bb432"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":41,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"829b45e5-e576-4c8f-a6b7-39c366fa36a1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":45,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c148038e-df9f-4b06-a559-833fbfdf4fbe"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":52,"estimated_tokens_delta":7,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1d4926a2-16dc-4907-8c52-a2cd53d56f00"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":53,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c2015f43-0ad9-4395-a9fb-ca0df7238c6c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":57,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"53ea3152-627d-4abd-a7dc-e29286b02835"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":60,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8af0d89b-06be-4f41-8f02-2c3cce35aa55"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":66,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e97ce0bc-a3e0-4acc-b976-db8d8d3e7efb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":67,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ce17f196-6c0d-4b3b-824f-77fc75ffcde6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":75,"estimated_tokens_delta":8,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1adcd0e4-4d35-4847-a16f-e8d2696987d3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":81,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"7e2407cd-1d5e-4d89-af2d-44492b4bdd5a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":86,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b58ab183-0414-42f0-b478-244c054eac08"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":91,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"15538f0a-c914-4152-b600-915079706564"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":92,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"583f426c-09ac-4dbe-8f34-8416c5f64c4e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":95,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"01f383df-0a32-479b-8606-7aacc8cab18f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":98,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8c6be5af-6ba7-4d67-8c76-850b81000420"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":103,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a9fc2e02-9eff-43c7-86de-6b62bb73bae8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":106,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d4d3d9c6-05ab-4ce0-b263-923b2e3c31aa"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":107,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"3538e49c-156b-4abb-8fa2-d9598145945e"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":118,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"f9f5183c-8932-4066-b48c-bbde64df4c88"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":124,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e434ed62-8006-4215-b9be-2742c07786fe"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":129,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c31b9de3-30e3-43a0-8624-f129a9d59edd"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":134,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"f6c210d2-4f36-4e4a-b045-bc4076c7d342"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":140,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"09d82052-c393-4097-8a4a-b27464fc7376"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8h3P1Aj2UG7zKsPRbHZ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The else branch is even worse, since it stores and reloads the accumulator through registers across iterations, breaking TMEM residency entirely. This confirms that conditional rescaling with scf.if doesn't map well in plain Triton, so I need an approach that avoids the branch and the per-iteration accumulator round trip altogether.\n\nI'm working through whether a larger block size could amortize the rescale cost, but checking the TMEM budget shows S, P, and accumulator together exceed the 512-column limit unless P can alias the S region — and SMEM can't absorb P either since K and V already consume most of the budget. With BN=128 though, the columns for S, P, and accumulator just barely fit within the limit.\n\nSplitting the problem along the D dimension to avoid this doesn't help either, since it would force recomputing QK and add 50% more FLOPs. I'm now trying to estimate the actual TMEM read bandwidth per SM to see if the rescale's load/store cost is even the bottleneck in the first place.\n\nThat math suggests roughly 400 clocks for pure rescale work plus another 600 for softmax, totaling around 1000 clocks per iteration — yet the current non-warpspecialized kernel is running at about 3500 clocks per iteration, so something else must be dominating. I think I need to actually profile the kernel directly rather than keep estimating from theory.\n\nComputing it from measured runtime: 900us at 2.03GHz across 512 blocks gives roughly 3570 clocks/block, versus my serial estimate of about 2100 (QK + softmax + rescale + PV + waits), so there's a real gap to explain. Possible causes: clock throttling under power load, lower MMA efficiency than assumed for this tile shape, or shared memory bandwidth limits from reading Q and K for every QK MMA.\n\nActually that's the key — with M=128, N=64, the QK MMA reads 96KB from smem per block versus the 128 B/clk/SM smem bandwidth limit, which works out to 768 clocks instead of the ideal 512, since the A operand (Q) gets re-read for every N-chunk and is twice the size of B here. That suggests N=64 tiles are smem-bandwidth bound in a way that N=128 tiles wouldn't be, since equal A/B sizes at 64KB each would better balance the read pattern.\n\nIn 2-CTA mode each CTA reads its own Q plus half of K, totaling 96KB per 1024 clks per CTA. But I realize TMA writes of K/V into smem also consume the same bandwidth — per BN=128 iteration, writing K and V takes another 128KB, competing directly with the QK MMA reads for that same 128 B/clk smem bandwidth budget.\n\nAdding PV's read of V and accounting for P potentially living in smem instead of TMEM, total smem traffic for a 1-CTA BM=128 design hits 320KB per iteration, which at 128 B/clk works out to roughly 2500 clks versus the MMA's 2048 clks — so this design is smem-bandwidth-bound and runs about 1.25x slower than MMA peak, regardless of CTA count.\n\nScaling that across the full Sq=256/Sk=128K problem gives ~221 block-iterations per SM, translating to ~553K clks or about 272us at 2.03 GHz — which is under the 379us expert baseline, so the 1-CTA approach is feasible in principle if Triton's codegen is efficient enough. I also rule out BM=256 per CTA since TMEM can't fit two accumulators plus S simultaneously, confirming BM=128 is the way to go.\n\nWith BM=128, BN=128, the smem traffic, MMA, and softmax costs per iteration all need to overlap to hit roughly 2500 clks. Comparing to the current BN=64 iteration cost of ~3570 clks (7140 clks per 128 keys) against a target of ~3480 clks to match the expert's 379us, I'm now tracing through the serial dependency chain in the v2 TTGIR to find what's causing the bottleneck.\n\nWalking through the per-iteration steps—waiting on QK results, tmem loads, softmax reduction (~600 clks from MUFU ops), waiting on previous PV, tmem store/load for the accumulator, issuing the next PV and QK matmuls, and TMA loads—I'm tracking how the tensor pipe handles PV_j followed by QK_{j+1}, totaling around 1280 clks, while the CUDA cores proceed to the next softmax stage during that window.\n\nAdding up the estimated cycle counts per iteration gives roughly 2480 clks, but the measured value is 3570, leaving about 1000 clks unaccounted for—possibly from unhidden TMA load latency, cross-warp smem reduction overhead with 8 warps, or the clock running below 2.03 GHz under load. To close this gap, I'm thinking the real fix is avoiding serialization between QK_{j+1} and softmax_{j+1} by double-buffering the S accumulator in TMEM so QK_{j+1} can issue earlier, which in Triton would mean having the pipeliner multi-buffer the S accumulator.\n\nGiven the time I've already spent, I'm leaning toward checking what Triton's own Blackwell flash attention tutorial achieves for head-dim 128 rather than continuing to derive this from scratch, though I don't recall the exact TFLOPS figure.\n\nWith limited time remaining, I weigh two pragmatic paths: tuning the non-warp-specialized design's block sizes, warp counts, and pipeline stages with the persistent stream-K approach for an estimated ~700-800us, versus pushing harder on making warp specialization work by following the tutorial's accumulator-splitting pattern for rescaling on Blackwell with head-dim 128 and multiple Q tiles per CTA.\n\nSince the WS version measured 1916us with 8 warps — twice as slow as non-WS — I suspect the shared/tensor memory layouts or partitioning scheme are poorly suited for head-dim 256. I'm also considering reducing inner-loop overhead by batching the accumulator rescale across two BN=64 sub-blocks instead of rescaling every iteration, since that rescale seems to eat a meaningful chunk of cycles.\n\nRather than guessing further, I want to run quick isolating experiments: strip out the rescale entirely (accepting wrong results) to measure its cost, and strip out the exp call to measure softmax's cost. That split will tell me where to focus optimization, so I'll test this with the v2 config (BN=64, 8 warps, 2 stages).\n\n","signature":"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{"type":"system","subtype":"thinking_tokens","estimated_tokens":1482,"estimated_tokens_delta":824,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"145eaf78-1225-46eb-baac-8c25c90df0ef"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hACHvXenQVMhrLcFiY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Interesting finding: removing softmax entirely still gives ~800us, showing the real bottleneck isn't softmax or rescaling but the MMA/memory pipeline itself—QK and PV MMAs plus loads taking roughly 3170 clocks per block versus an ideal of ~1024-1300 clocks.\n\nI suspect serialization between QK and PV stages (reading results to registers, converting to bf16, storing to TMEM) is adding latency, but the gap is larger than expected, so I'm checking whether K/V memory traffic from L2/HBM could be the real limiter. Computing the implied bandwidth from per-CTA K/V loads over the measured cycle count gives numbers suspiciously close to L2 bandwidth limits on B300, so that's worth digging into further.\n\nNow I'm tracing the CTA scheduling pattern more carefully — the grid layout means CTAs assigned to the same KV tile but different splits actually access different KV ranges concurrently, which could explain poor L2 reuse since the access pattern isn't aligning the way I assumed.\n\nI'm checking DRAM bandwidth: total unique KV data is about 1GB, so at 900us that's only 1.1 TB/s, nowhere near HBM3e's ~8 TB/s ceiling, which tells me DRAM isn't the bottleneck. That points me toward L2→SM bandwidth as a possible limiter, so I want to measure it directly with a simple TMA-load kernel to find the real ceiling.\n\nI should verify this with a microbenchmark: a kernel that just streams K/V via TMA with no actual MMA work, using the same grid pattern — if it takes about 800us too, that confirms we're L2-bound rather than compute-bound. If so, the fix is increasing M per CTA so each KV load serves more query rows, though I'm running into TMEM capacity constraints trying to fit two 256-column accumulators alongside S.\n\nI'm exploring whether one accumulator could live in registers instead, but tcgen05 MMA on Blackwell can only accumulate into TMEM, not registers directly — so I'd need to load PV results into registers and add them manually each iteration, which adds overhead. Another option is using a 2-CTA cooperative scheme to split the work differently.\n\nI should check the installed Triton source for \"two_ctas\" or \"ctas_per_cga\" to see how num_ctas=2 propagates. Also, packing two heads into BM=128 doesn't change the memory traffic ratio per FLOP since it's still 128 rows either way, so I need to actually measure L2 bandwidth on B300 to get real numbers.\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":5904,"cache_read_input_tokens":122751,"cache_creation":{"ephemeral_5m_input_tokens":5904,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d7a7e2ab-2eaa-4169-80fd-ae2bed3afced","timestamp":"2026-10-17T23:41:07.514Z","request_id":"req_011Cg8hAC3JhAAe7h8abKE7c","thinking_duration_ms":25654,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hACHvXenQVMhrLcFiY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing softmax entirely still leaves the loop at ~800 µs, pointing to the MMA/memory pipeline rather than exponentials as the bottleneck—likely an L2 bandwidth ceiling given the ~5.2 TB/s of K/V traffic, which would explain the expert's shared-K/V CTA pairing. I'll microbenchmark a pure TMA K/V stream to confirm.\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":5904,"cache_read_input_tokens":122751,"cache_creation":{"ephemeral_5m_input_tokens":5904,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"87c597a9-beea-4372-a025-ef1a4438b015","timestamp":"2026-10-17T23:41:07.518Z","request_id":"req_011Cg8hAC3JhAAe7h8abKE7c","narration_block_indexes":[0],"thinking_duration_ms":2,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hACHvXenQVMhrLcFiY","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_012bSWXtsUtZqstwEZ8vtd52","name":"Bash","input":{"command":"cat > l2bw.py << 'EOF'\nimport torch, triton, triton.language as tl, sys\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\ntriton.set_allocator(_alloc)\n\n@triton.jit\ndef _stream(K, V, Out, B, Sk, n_mblk, S, HKV: tl.constexpr, D: tl.constexpr, BN: tl.constexpr):\n    sp = tl.program_id(0)\n    t = tl.program_id(1)\n    bh = t // n_mblk\n    b = bh // HKV\n    hk = bh % HKV\n    nb = Sk // BN\n    j0 = sp * nb // S\n    j1 = (sp + 1) * nb // S\n    k_desc = tl.make_tensor_descriptor(K, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    acc = tl.zeros((BN, D), tl.float32)\n    for j in tl.range(j0, j1, num_stages=3):\n        k = k_desc.load([b * Sk + j * BN, hk * D])\n        v = v_desc.load([b * Sk + j * BN, hk * D])\n        acc += k.to(tl.float32) + v.to(tl.float32)\n    tl.store(Out + t * S + sp, tl.sum(acc))\n\nB, Sk, HKV, D = 1, 131072, 8, 256\nk = torch.randn(B, Sk, HKV, D, device='cuda', dtype=torch.bfloat16)\nv = torch.randn_like(k)\nfor n_mblk, S, BN, nw in [(4, 4, 64, 8), (4, 4, 32, 8), (1, 16, 64, 8), (4, 9, 64, 8), (2, 9, 64, 8)]:\n    out = torch.empty(8 * n_mblk * S, device='cuda')\n    f = lambda: _stream[(S, 8 * n_mblk)](k, v, out, B, Sk, n_mblk, S, HKV=HKV, D=D, BN=BN, num_warps=nw)\n    f(); torch.cuda.synchronize()\n    cache = torch.empty(256 * 1024 * 1024, dtype=torch.int8, device='cuda')\n    ts = []\n    for _ in range(10):\n        cache.zero_()\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record(); f(); e.record(); torch.cuda.synchronize(); ts.append(s.elapsed_time(e) * 1e3)\n    t = sorted(ts)[5]\n    tot = 8 * n_mblk * Sk * D * 2 * 2\n    print(f\"n_mblk={n_mblk} S={S} BN={BN} ctas={8*n_mblk*S}: {t:.1f} us, L2->SM {tot/t/1e6:.2f} TB/s, unique {8*Sk*D*4/t/1e6:.2f} TB/s\")\nEOF\ntimeout 300 python l2bw.py","description":"Microbenchmark L2-to-SM bandwidth for TMA K/V streaming"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":5904,"cache_read_input_tokens":122751,"cache_creation":{"ephemeral_5m_input_tokens":5904,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e6af772a-5ba4-4aa6-8912-3179b9933fca","timestamp":"2026-10-17T23:41:14.495Z","request_id":"req_011Cg8hAC3JhAAe7h8abKE7c"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_012bSWXtsUtZqstwEZ8vtd52","type":"tool_result","content":"n_mblk=4 S=4 BN=64 ctas=128: 400.4 us, L2->SM 10.73 TB/s, unique 2.68 TB/s\nn_mblk=4 S=4 BN=32 ctas=128: 576.5 us, L2->SM 7.45 TB/s, unique 1.86 TB/s\nn_mblk=1 S=16 BN=64 ctas=128: 175.1 us, L2->SM 6.13 TB/s, unique 6.13 TB/s\nn_mblk=4 S=9 BN=64 ctas=288: 361.5 us, L2->SM 11.88 TB/s, unique 2.97 TB/s\nn_mblk=2 S=9 BN=64 ctas=144: 209.9 us, L2->SM 10.23 TB/s, unique 5.12 TB/s","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"bf094084-1525-4f8c-98ba-5161b048f8e6","timestamp":"2026-10-17T23:41:20.010Z","tool_use_result":{"stdout":"n_mblk=4 S=4 BN=64 ctas=128: 400.4 us, L2->SM 10.73 TB/s, unique 2.68 TB/s\nn_mblk=4 S=4 BN=32 ctas=128: 576.5 us, L2->SM 7.45 TB/s, unique 1.86 TB/s\nn_mblk=1 S=16 BN=64 ctas=128: 175.1 us, L2->SM 6.13 TB/s, unique 6.13 TB/s\nn_mblk=4 S=9 BN=64 ctas=288: 361.5 us, L2->SM 11.88 TB/s, unique 2.97 TB/s\nn_mblk=2 S=9 BN=64 ctas=144: 209.9 us, L2->SM 10.23 TB/s, unique 5.12 TB/s","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_012bSWXtsUtZqstwEZ8vtd52","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hD9mTbWy2LNsnyqeWP","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Looking at the L2→SM bandwidth numbers (roughly 10.7-11.9 TB/s via TMA streaming versus ~6.1 TB/s unique HBM bandwidth), streaming all KV for our shape would take about 400us, close to the expert's 379us full attention time—suggesting a single-CTA BM=128 design would be fundamentally bottlenecked by that L2→SM bandwidth.\n\nTo actually beat the expert, I need to cut L2→SM traffic by increasing effective M per KV load. I'm weighing options: a 2-CTA cluster with TMA multicast (unclear if Triton 3.7's tensor descriptor API supports this), BM=256 in a single CTA (but TMEM can't fit both accumulators and S at that size), packing multiple query heads into the M dimension (also blocked by TMEM's 128-lane limit without a 2-CTA split), and converting K/V to FP8 (which risks blowing past the accuracy tolerance given FP8 e4m3's ~6% per-element error).\n\nI'm also considering splitting the output along D instead: have each CTA compute only half the output columns for 256 rows, which still requires full QK^T recomputation per half, pushing total FLOPs to 1.5x versus the baseline PV cost, and I need to weigh whether the L2 traffic savings justify that overhead.\n\nThat extra 1.5x MMA cost puts it around 335us plus inefficiency, which isn't clearly better than the existing approach. Checking TMEM budget for the split-D design, BN=64 fits at 384 cols and BN=128 fits at 512, though P tile allocation could push it over; meanwhile SMEM for Q across 256 rows alone comes out to 128KB, which is a lot.\n\nAdding K and V tiles brings the total to roughly 224KB with two stages at BN=64 — tight but workable. 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hD9mTbWy2LNsnyqeWP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01N2ZeKSGzW7sQ9ERzxRxXEU","name":"Bash","input":{"command":"cd /usr/local/lib/python3.12/dist-packages/triton; grep -rn \"multicast\\|two_ctas\\|num_ctas\\|ctas_per_cga\\|cluster_dims\" --include=*.py . | grep -v \"^./experimental/gluon\" | head -40","description":"Search Triton for multicast/2-CTA/cluster support"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4091,"cache_read_input_tokens":128655,"cache_creation":{"ephemeral_5m_input_tokens":4091,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"04f58f9c-739d-48cc-80d3-5bb51ae94eb7","timestamp":"2026-10-17T23:41:43.121Z","request_id":"req_011Cg8hD9QPTzEhVaivs12i6"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01N2ZeKSGzW7sQ9ERzxRxXEU","type":"tool_result","content":"knobs.py:438:    num_ctas: int\nbackends/amd/compiler.py:40:    num_ctas: int = 1\nbackends/amd/compiler.py:126:        if opts.get(\"num_ctas\", 1) > 1 and not amd.supports_multi_cta_launch(self.target.arch):\nbackends/amd/compiler.py:127:            raise ValueError(f\"num_ctas > 1 not supported on {self.target.arch}\")\nbackends/amd/compiler.py:151:            metadata.num_ctas,\nbackends/amd/compiler.py:216:                                           options.num_ctas)\nbackends/amd/compiler.py:385:        cluster_dim = metadata[\"num_ctas\"]\nbackends/nvidia/driver.py:304:        self.num_ctas = getattr(metadata, \"num_ctas\", 1)\nbackends/nvidia/driver.py:319:                alloc_size = grid_size * self.num_ctas * size\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)\nruntime/autotuner.py:33:            self.configs = [Config({}, num_warps=4, num_stages=3, num_ctas=1)]\nruntime/autotuner.py:313:    :ivar num_ctas: number of blocks in a block cluster. SM90+ only.\nruntime/autotuner.py:314:    :type num_ctas: int\nruntime/autotuner.py:323:    def __init__(self, kwargs, num_warps=4, num_stages=3, num_ctas=1, maxnreg=None, pre_hook=None, ir_override=None):\nruntime/autotuner.py:326:        self.num_ctas = num_ctas\nruntime/autotuner.py:336:        self.num_ctas = state.get(\"num_ctas\", 1)\nruntime/autotuner.py:347:                    (\"num_ctas\", self.num_ctas),\nruntime/autotuner.py:360:        res.append(f\"num_ctas: {self.num_ctas}\")\nruntime/jit.py:633:        repr = f\"{name}[num_warps={options.num_warps}, num_ctas={options.num_ctas}, num_stages={options.num_stages}, enable_fp_fusion={options.enable_fp_fusion}, launch_cooperative_grid={options.launch_cooperative_grid}]({arg_reprs})\"\nruntime/jit.py:644:            'num_ctas': options.num_ctas,\ncompiler/compiler.py:126:            num_ctas = self.module.get_int_attr(\"ttg.num-ctas\")\ncompiler/compiler.py:127:            if num_ctas is not None:\ncompiler/compiler.py:128:                options['num_ctas'] = num_ctas\nexperimental/gluon/_runtime.py:33:        module.set_attr(\"ttg.num-ctas\", builder.get_int32_attr(options.num_ctas))\nexperimental/gluon/language/_semantic.py:600:    def num_ctas(self):\nexperimental/gluon/language/_semantic.py:601:        return ttgl.constexpr(self.builder.options.num_ctas)\nexperimental/gluon/language/__init__.py:58:    num_ctas,\nexperimental/gluon/language/_core.py:78:    \"num_ctas\",\nexperimental/gluon/language/_core.py:569:def num_ctas(_semantic=None):\nexperimental/gluon/language/_core.py:573:    return _semantic.num_ctas()\nexperimental/gluon/language/_core.py:585:    num_ctas = _unwrap_if_constexpr(_semantic.num_ctas())\nexperimental/gluon/language/_core.py:586:    if num_ctas == 1 or not cluster:\nexperimental/gluon/language/nvidia/hopper/tma.py:124:def async_copy_global_to_shared(tensor_desc, coord, barrier, result, pred=True, multicast=False, _semantic=None):\nexperimental/gluon/language/nvidia/hopper/tma.py:131:    multicast = _unwrap_if_constexpr(multicast)\nexperimental/gluon/language/nvidia/hopper/tma.py:138:        multicast,\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b5dd9ea0-61bc-4056-81f9-ff85c64e283c","timestamp":"2026-10-17T23:41:43.180Z","tool_use_result":{"stdout":"knobs.py:438:    num_ctas: int\nbackends/amd/compiler.py:40:    num_ctas: int = 1\nbackends/amd/compiler.py:126:        if opts.get(\"num_ctas\", 1) > 1 and not amd.supports_multi_cta_launch(self.target.arch):\nbackends/amd/compiler.py:127:            raise ValueError(f\"num_ctas > 1 not supported on {self.target.arch}\")\nbackends/amd/compiler.py:151:            metadata.num_ctas,\nbackends/amd/compiler.py:216:                                           options.num_ctas)\nbackends/amd/compiler.py:385:        cluster_dim = metadata[\"num_ctas\"]\nbackends/nvidia/driver.py:304:        self.num_ctas = getattr(metadata, \"num_ctas\", 1)\nbackends/nvidia/driver.py:319:                alloc_size = grid_size * self.num_ctas * size\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)\nruntime/autotuner.py:33:            self.configs = [Config({}, num_warps=4, num_stages=3, num_ctas=1)]\nruntime/autotuner.py:313:    :ivar num_ctas: number of blocks in a block cluster. SM90+ only.\nruntime/autotuner.py:314:    :type num_ctas: int\nruntime/autotuner.py:323:    def __init__(self, kwargs, num_warps=4, num_stages=3, num_ctas=1, maxnreg=None, pre_hook=None, ir_override=None):\nruntime/autotuner.py:326:        self.num_ctas = num_ctas\nruntime/autotuner.py:336:        self.num_ctas = state.get(\"num_ctas\", 1)\nruntime/autotuner.py:347:                    (\"num_ctas\", self.num_ctas),\nruntime/autotuner.py:360:        res.append(f\"num_ctas: {self.num_ctas}\")\nruntime/jit.py:633:        repr = f\"{name}[num_warps={options.num_warps}, num_ctas={options.num_ctas}, num_stages={options.num_stages}, enable_fp_fusion={options.enable_fp_fusion}, launch_cooperative_grid={options.launch_cooperative_grid}]({arg_reprs})\"\nruntime/jit.py:644:            'num_ctas': options.num_ctas,\ncompiler/compiler.py:126:            num_ctas = self.module.get_int_attr(\"ttg.num-ctas\")\ncompiler/compiler.py:127:            if num_ctas is not None:\ncompiler/compiler.py:128:                options['num_ctas'] = num_ctas\nexperimental/gluon/_runtime.py:33:        module.set_attr(\"ttg.num-ctas\", builder.get_int32_attr(options.num_ctas))\nexperimental/gluon/language/_semantic.py:600:    def num_ctas(self):\nexperimental/gluon/language/_semantic.py:601:        return ttgl.constexpr(self.builder.options.num_ctas)\nexperimental/gluon/language/__init__.py:58:    num_ctas,\nexperimental/gluon/language/_core.py:78:    \"num_ctas\",\nexperimental/gluon/language/_core.py:569:def num_ctas(_semantic=None):\nexperimental/gluon/language/_core.py:573:    return _semantic.num_ctas()\nexperimental/gluon/language/_core.py:585:    num_ctas = _unwrap_if_constexpr(_semantic.num_ctas())\nexperimental/gluon/language/_core.py:586:    if num_ctas == 1 or not cluster:\nexperimental/gluon/language/nvidia/hopper/tma.py:124:def async_copy_global_to_shared(tensor_desc, coord, barrier, result, pred=True, multicast=False, _semantic=None):\nexperimental/gluon/language/nvidia/hopper/tma.py:131:    multicast = _unwrap_if_constexpr(multicast)\nexperimental/gluon/language/nvidia/hopper/tma.py:138:        multicast,","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01N2ZeKSGzW7sQ9ERzxRxXEU","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hFYn7kg3UDVawNYrqc","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01P59epM7KbWwoJqJrpFwbaV","name":"Bash","input":{"command":"cd /usr/local/lib/python3.12/dist-packages/triton/backends/nvidia; grep -n \"two\\|cta\\|CTA\" compiler.py | head -40; sed -n 250,330p compiler.py","description":"Inspect NVIDIA compiler passes for CTA/2-CTA handling"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1935,"cache_read_input_tokens":136523,"cache_creation":{"ephemeral_5m_input_tokens":1935,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"820c05d0-5711-47a2-9371-7943ee68c714","timestamp":"2026-10-17T23:41:56.997Z","request_id":"req_011Cg8hFYTGrP3bDhJpFDoNx"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01P59epM7KbWwoJqJrpFwbaV","type":"tool_result","content":"108:    num_ctas: int = 1\n186:        if args.get(\"num_ctas\", 1) > 1 and capability < 90:\n187:            raise ValueError((f\"num_ctas > 1 requires NVIDIA SM90+ (Hopper). \"\n189:                              f\"Please set num_ctas=1 or target an SM90+ GPU.\"))\n211:            metadata.num_ctas,\n260:        passes.ttir.add_convert_to_ttgpuir(pm, f\"cuda:{capability}\", opt.num_warps, 32, opt.num_ctas)\n264:        # TODO(Qingyi): Move PlanCTAPass to the front of CoalescePass\n265:        nvidia.passes.ttnvgpuir.add_plan_cta(pm)\n358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\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)\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ef7ce688-9cfa-4e67-abad-3a380122e14b","timestamp":"2026-10-17T23:41:57.047Z","tool_use_result":{"stdout":"108:    num_ctas: int = 1\n186:        if args.get(\"num_ctas\", 1) > 1 and capability < 90:\n187:            raise ValueError((f\"num_ctas > 1 requires NVIDIA SM90+ (Hopper). \"\n189:                              f\"Please set num_ctas=1 or target an SM90+ GPU.\"))\n211:            metadata.num_ctas,\n260:        passes.ttir.add_convert_to_ttgpuir(pm, f\"cuda:{capability}\", opt.num_warps, 32, opt.num_ctas)\n264:        # TODO(Qingyi): Move PlanCTAPass to the front of CoalescePass\n265:        nvidia.passes.ttnvgpuir.add_plan_cta(pm)\n358:        nvidia.passes.ttnvgpuir.add_check_matmul_two_cta(pm)\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)","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01P59epM7KbWwoJqJrpFwbaV","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hFt4yQiMdVCg9dRYv9","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01RWr1JMeCxKUVf8wyqcgV4a","name":"Bash","input":{"command":"cd /workspace/dev && sed -e 's/    BM = 128$/    BM = BMX/' -e 's/def kernel_fn(q, k, v, out, BN=64, WS=True, STAGES=2, num_warps=4, S=4):/def kernel_fn(q, k, v, out, BN=64, WS=False, STAGES=2, num_warps=4, S=4, BMX=128, NCTA=1):/' -e 's/num_warps=num_warps, num_stages=STAGES)/num_warps=num_warps, num_stages=STAGES, num_ctas=NCTA)/' v2.py > v2c.py && grep -n \"BMX\\|NCTA\" v2c.py && for cfg in \"dict(BN=64, STAGES=2, num_warps=8, BMX=256, NCTA=2, S=4)\" \"dict(BN=64, STAGES=2, num_warps=4, BMX=256, NCTA=2, S=4)\"; do echo \"== $cfg\"; timeout 600 python bench.py v2c.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio\\|Error\" | head -3; done","description":"Try num_ctas=2 cluster with 256-row tiles"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2575,"cache_read_input_tokens":138458,"cache_creation":{"ephemeral_5m_input_tokens":2575,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"50787b09-19e1-44c1-9ba8-ecd3c68fede2","timestamp":"2026-10-17T23:42:08.231Z","request_id":"req_011Cg8hFsjPUDD2McX7aMqbR"}
{"type":"system","subtype":"task_started","task_id":"bzlafuua0","run_id":"0mvd1jwog-c461f595","tool_use_id":"toolu_01RWr1JMeCxKUVf8wyqcgV4a","description":"Try num_ctas=2 cluster with 256-row tiles","is_backgrounded":false,"task_type":"local_bash","uuid":"34fd9a2f-71b7-404a-af2a-31d65b10d186","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bzlafuua0","run_id":"0mvd1jwog-c461f595","tool_use_id":"toolu_01RWr1JMeCxKUVf8wyqcgV4a","status":"completed","output_file":"","summary":"Try num_ctas=2 cluster with 256-row tiles","uuid":"c96a140a-f20c-404a-9c8e-fe6073d21ad2","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01RWr1JMeCxKUVf8wyqcgV4a","type":"tool_result","content":"111:def kernel_fn(q, k, v, out, BN=64, WS=False, STAGES=2, num_warps=4, S=4, BMX=128, NCTA=1):\n115:    BM = BMX\n125:                             HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps, num_stages=STAGES, num_ctas=NCTA)\n== dict(BN=64, STAGES=2, num_warps=8, BMX=256, NCTA=2, S=4)\n/workspace/dev/v2c.py:17:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2c.py:17:0: note: Pipeline failed while executing [`TritonGPUPlanCTAPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nRuntimeError: PassManager::run failed\n== dict(BN=64, STAGES=2, num_warps=4, BMX=256, NCTA=2, S=4)\n/workspace/dev/v2c.py:17:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2c.py:17:0: note: Pipeline failed while executing [`TritonGPUPlanCTAPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8a111dce-0964-491a-892f-a4cdfe014aed","timestamp":"2026-10-17T23:42:19.982Z","tool_use_result":{"stdout":"111:def kernel_fn(q, k, v, out, BN=64, WS=False, STAGES=2, num_warps=4, S=4, BMX=128, NCTA=1):\n115:    BM = BMX\n125:                             HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps, num_stages=STAGES, num_ctas=NCTA)\n== dict(BN=64, STAGES=2, num_warps=8, BMX=256, NCTA=2, S=4)\n/workspace/dev/v2c.py:17:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2c.py:17:0: note: Pipeline failed while executing [`TritonGPUPlanCTAPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nRuntimeError: PassManager::run failed\n== dict(BN=64, STAGES=2, num_warps=4, BMX=256, NCTA=2, S=4)\n/workspace/dev/v2c.py:17:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/dev/v2c.py:17:0: note: Pipeline failed while executing [`TritonGPUPlanCTAPass` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01RWr1JMeCxKUVf8wyqcgV4a","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":1559,"estimated_tokens_delta":761,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"45f609ef-2e00-4d22-9a6a-feeb98e5a432"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hHa9H4NkSumn3ioB9e","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"PlanCTAPass isn't working, likely due to lack of support for descriptor loads or the loop structure, and it's not worth pursuing further given the time already spent. Reconsidering the bandwidth math, the L2→SM limit suggests roughly 400us for KV streaming at this shape, while the expert implementation sits at 379us, so I'm checking whether BM=128 tiles can get close to that.\n\nI'm examining a D-split approach where a CTA computes half the output columns for 256 rows at once, but when I quantify the L2 traffic versus FLOPs tradeoff for the first shape, it only cuts traffic by about 25% while increasing compute by 50%, which isn't a good trade. I'm now wondering whether storing the accumulator in a lower-precision format in TMEM could free up room for 256 rows with full head dimension, though I need to check if the MMA accumulator actually supports that.\n\nF16 accumulation over 128K keys would lose too much precision, so that's out. Splitting the 256-row output across two accumulator halves within one CTA also doesn't fit since the combined D plus S storage exceeds TMEM capacity — a single CTA tops out around 128 rows by 256 columns. This confirms that the 2-CTA split, as FA4 does, is necessary to avoid being bottlenecked by L2 traffic, since smem is too small to allow K/V reuse across query tiles.\n\nI consider whether distributed shared memory in a cluster could let CTAs share loaded K/V blocks, but tcgen05 MMA can't read remote CTA smem outside 2-CTA mode, copying would eat into already-tight smem bandwidth, and plain Triton doesn't expose DSMEM anyway — so the L2-to-SM traffic remains a hard floor on performance.\n\nNow I'm reconsidering whether the kernel was actually compute-bound rather than bandwidth-bound, since the fp32 conversion adds on the K/V tiles could be consuming significant cycles per iteration, and I'm working through the per-CTA bandwidth and cycle-count math to check this.\n\nSo I want to redesign the microbenchmark to strip out unnecessary compute so it isolates memory bandwidth cleanly, since unused loaded data gets eliminated by Triton's compiler. I'm thinking through using a small dot product against the loaded K block to force the load while minimizing the actual compute cost, similar to what attention kernels do.\n\nComputing the ideal MMA time at 258us for the nosoftmax variant, I see that the observed 800us doesn't match either MMA-bound or cleanly L2-bound expectations, so I need a cleaner test. I'm devising a benchmark that loads K and V tiles via TMA, then forces their use with a conditional store behind a runtime flag that's always false, so the compiler can't eliminate the load but doesn't need to execute the store.\n\nThat comes to roughly 384 clocks per MMA block, which seems reasonable compared to the memory cost — I'll just try implementing it this way.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hHa9H4NkSumn3ioB9e","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"num_ctas=2 isn't usable here since it crashes Triton's PlanCTA pass, and my earlier bandwidth test may have been throttled by its own fp32 adds. I'll re-run the benchmark with a lightweight consumer (small MMAs) to get the true L2 ceiling and see if a 1-CTA design can hit the target.\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":1645,"cache_read_input_tokens":141033,"cache_creation":{"ephemeral_5m_input_tokens":1645,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"dbcf4af5-ebe6-4a7c-aec2-9bcf29814b11","timestamp":"2026-10-17T23:42:50.020Z","request_id":"req_011Cg8hHZohDmR6fZ8Vd85zY","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hHa9H4NkSumn3ioB9e","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_012YGZMsFM68YaWtU1iF6PYB","name":"Bash","input":{"command":"cat > l2bw2.py << 'EOF'\nimport torch, triton, triton.language as tl, sys\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\ntriton.set_allocator(_alloc)\n\n@triton.jit\ndef _stream(X, K, V, Out, B, Sk, n_mblk, S, HKV: tl.constexpr, D: tl.constexpr, BN: tl.constexpr, ST: tl.constexpr):\n    sp = tl.program_id(0)\n    t = tl.program_id(1)\n    bh = t // n_mblk\n    b = bh // HKV\n    hk = bh % HKV\n    nb = Sk // BN\n    j0 = sp * nb // S\n    j1 = (sp + 1) * nb // S\n    k_desc = tl.make_tensor_descriptor(K, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    x = tl.load(X + tl.arange(0, 64)[:, None] * D + tl.arange(0, D)[None, :])\n    x2 = tl.load(X + tl.arange(0, 64)[:, None] * BN + tl.arange(0, BN)[None, :])\n    acc = tl.zeros((64, BN), tl.float32)\n    acc2 = tl.zeros((64, D), tl.float32)\n    for j in tl.range(j0, j1, num_stages=ST):\n        k = k_desc.load([b * Sk + j * BN, hk * D])\n        v = v_desc.load([b * Sk + j * BN, hk * D])\n        acc = tl.dot(x, k.T, acc)\n        acc2 = tl.dot(x2, v, acc2)\n    tl.store(Out + t * S + sp, tl.sum(acc) + tl.sum(acc2))\n\nB, Sk, HKV, D = 1, 131072, 8, 256\nk = torch.randn(B, Sk, HKV, D, device='cuda', dtype=torch.bfloat16)\nv = torch.randn_like(k)\nX = torch.randn(64 * 256, device='cuda', dtype=torch.bfloat16)\nfor n_mblk, S, BN, nw, st in [(4, 4, 64, 4, 3), (4, 4, 128, 4, 2), (1, 16, 64, 4, 3), (4, 9, 64, 4, 3), (2, 9, 64, 4, 3), (4, 37, 64, 4, 3)]:\n    out = torch.empty(8 * n_mblk * S, device='cuda')\n    f = lambda: _stream[(S, 8 * n_mblk)](X, k, v, out, B, Sk, n_mblk, S, HKV=HKV, D=D, BN=BN, ST=st, num_warps=nw, num_stages=st)\n    f(); torch.cuda.synchronize()\n    cache = torch.empty(256 * 1024 * 1024, dtype=torch.int8, device='cuda')\n    ts = []\n    for _ in range(10):\n        cache.zero_()\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record(); f(); e.record(); torch.cuda.synchronize(); ts.append(s.elapsed_time(e) * 1e3)\n    t = sorted(ts)[5]\n    tot = 8 * n_mblk * Sk * D * 2 * 2\n    print(f\"n_mblk={n_mblk} S={S} BN={BN} ctas={8*n_mblk*S}: {t:.1f} us, L2->SM {tot/t/1e6:.2f} TB/s, unique {8*Sk*D*4/t/1e6:.2f} TB/s\", flush=True)\nEOF\ntimeout 300 python l2bw2.py","description":"Re-measure L2 bandwidth with cheap MMA consumers"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1645,"cache_read_input_tokens":141033,"cache_creation":{"ephemeral_5m_input_tokens":1645,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"45aade22-6564-43c8-999c-556f77e0275f","timestamp":"2026-10-17T23:42:57.563Z","request_id":"req_011Cg8hHZohDmR6fZ8Vd85zY"}
{"type":"system","subtype":"task_started","task_id":"bfcjox4u0","run_id":"0mvd1kyrc-5d458a8d","tool_use_id":"toolu_012YGZMsFM68YaWtU1iF6PYB","description":"Re-measure L2 bandwidth with cheap MMA consumers","is_backgrounded":false,"task_type":"local_bash","uuid":"88f85d9d-d816-4b9b-8e7b-de51792f65ba","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bfcjox4u0","run_id":"0mvd1kyrc-5d458a8d","tool_use_id":"toolu_012YGZMsFM68YaWtU1iF6PYB","status":"failed","output_file":"","summary":"Re-measure L2 bandwidth with cheap MMA consumers","uuid":"1e26de4f-2929-4fc2-8817-836b8d94a828","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"type":"tool_result","content":"Exit code 1\nTraceback (most recent call last):\n  File \"/workspace/dev/l2bw2.py\", line 36, in <module>\n    f(); torch.cuda.synchronize()\n    ^^^\n  File \"/workspace/dev/l2bw2.py\", line 35, in <lambda>\n    f = lambda: _stream[(S, 8 * n_mblk)](X, k, v, out, B, Sk, n_mblk, S, HKV=HKV, D=D, BN=BN, ST=st, num_warps=nw, num_stages=st)\n                ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 459, in _init_handles\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 237632, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","is_error":true,"tool_use_id":"toolu_012YGZMsFM68YaWtU1iF6PYB"}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"030ad649-30ad-4da1-b78b-1798f8c78c7a","timestamp":"2026-10-17T23:43:03.149Z","tool_use_result":"Error: Exit code 1\nTraceback (most recent call last):\n  File \"/workspace/dev/l2bw2.py\", line 36, in <module>\n    f(); torch.cuda.synchronize()\n    ^^^\n  File \"/workspace/dev/l2bw2.py\", line 35, in <lambda>\n    f = lambda: _stream[(S, 8 * n_mblk)](X, k, v, out, B, Sk, n_mblk, S, HKV=HKV, D=D, BN=BN, ST=st, num_warps=nw, num_stages=st)\n                ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n    return lambda *args, **kwargs: self.run(grid=grid, warmup=False, *args, **kwargs)\n                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 760, in run\n    launch_metadata = kernel.launch_metadata(grid, stream, *bound_args.values())\n                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 485, in launch_metadata\n    self._init_handles()\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 459, in _init_handles\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\n  File \"/usr/local/lib/python3.12/dist-packages/triton/compiler/compiler.py\", line 451, in raise_\n    raise err\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 237632, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.","tool_result_meta":[{"id":"toolu_012YGZMsFM68YaWtU1iF6PYB","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hLki6nyZQFSA3sPq1b","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01VF7yt17CQMJwEapcAw5S4x","name":"Bash","input":{"command":"sed -i 's/for n_mblk, S, BN, nw, st in \\[.*\\]:/for n_mblk, S, BN, nw, st in [(4, 4, 64, 4, 2), (4, 4, 128, 4, 1), (1, 16, 64, 4, 2), (4, 9, 64, 4, 2), (2, 9, 64, 4, 2), (4, 37, 64, 4, 2)]:/' l2bw2.py && timeout 300 python l2bw2.py","description":"Rerun L2 microbenchmark with fewer stages"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4920,"cache_read_input_tokens":142678,"cache_creation":{"ephemeral_5m_input_tokens":4920,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"213d4dfc-6137-4854-b0e7-8a537da47dbf","timestamp":"2026-10-17T23:43:06.936Z","request_id":"req_011Cg8hLkN1qQatAoDkjfB4w"}
{"type":"system","subtype":"task_started","task_id":"bf132yiar","run_id":"0mvd1l5zf-7320ab58","tool_use_id":"toolu_01VF7yt17CQMJwEapcAw5S4x","description":"Rerun L2 microbenchmark with fewer stages","is_backgrounded":false,"task_type":"local_bash","uuid":"85b46b7c-bda2-48d0-a6cb-d7f659a6eda1","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bf132yiar","run_id":"0mvd1l5zf-7320ab58","tool_use_id":"toolu_01VF7yt17CQMJwEapcAw5S4x","status":"completed","output_file":"","summary":"Rerun L2 microbenchmark with fewer stages","uuid":"b86e8459-39c1-48aa-92e7-d902cc602cda","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01VF7yt17CQMJwEapcAw5S4x","type":"tool_result","content":"n_mblk=4 S=4 BN=64 ctas=128: 689.1 us, L2->SM 6.23 TB/s, unique 1.56 TB/s\nn_mblk=4 S=4 BN=128 ctas=128: 875.4 us, L2->SM 4.91 TB/s, unique 1.23 TB/s\nn_mblk=1 S=16 BN=64 ctas=128: 236.5 us, L2->SM 4.54 TB/s, unique 4.54 TB/s\nn_mblk=4 S=9 BN=64 ctas=288: 613.5 us, L2->SM 7.00 TB/s, unique 1.75 TB/s\nn_mblk=2 S=9 BN=64 ctas=144: 351.2 us, L2->SM 6.11 TB/s, unique 3.06 TB/s\nn_mblk=4 S=37 BN=64 ctas=1184: 591.0 us, L2->SM 7.27 TB/s, unique 1.82 TB/s","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"2dbb4da8-1107-4730-b31c-d658c2932ca0","timestamp":"2026-10-17T23:43:13.567Z","tool_use_result":{"stdout":"n_mblk=4 S=4 BN=64 ctas=128: 689.1 us, L2->SM 6.23 TB/s, unique 1.56 TB/s\nn_mblk=4 S=4 BN=128 ctas=128: 875.4 us, L2->SM 4.91 TB/s, unique 1.23 TB/s\nn_mblk=1 S=16 BN=64 ctas=128: 236.5 us, L2->SM 4.54 TB/s, unique 4.54 TB/s\nn_mblk=4 S=9 BN=64 ctas=288: 613.5 us, L2->SM 7.00 TB/s, unique 1.75 TB/s\nn_mblk=2 S=9 BN=64 ctas=144: 351.2 us, L2->SM 6.11 TB/s, unique 3.06 TB/s\nn_mblk=4 S=37 BN=64 ctas=1184: 591.0 us, L2->SM 7.27 TB/s, unique 1.82 TB/s","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01VF7yt17CQMJwEapcAw5S4x","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hMXEGAakYc2qFk6TQt","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"That's interesting — with MMAs included, the stream actually runs slower, 689us versus 400us, which tells me the bottleneck is the serialized MMA and load pattern in the Triton-generated loop rather than raw bandwidth. Each iteration waits on the K load, issues the two matmuls, and the loop-carried accumulator dependency likely chains everything together.\n\nWorking through the numbers: 689us over 512 blocks per CTA comes out to around 2730 clocks per iteration, way too slow for such small MMAs, which points to TMA load latency not being hidden since num_stages=2 only keeps one load in flight ahead while each iteration pulls 64KB. I check whether num_stages=3 fits in shared memory and find it doesn't — the combined operand and K/V buffers blow past the limit. Applying Little's law suggests we need roughly 64-128KB in flight to cover the latency, but with only two 64KB stages we're effectively latency-bound on the loads, so I start considering whether a smaller block size with more pipeline stages could keep more bytes in flight without exceeding shared memory.\n\nThinking about the kernel's load timing, K and V are needed at different points in the loop, so with two pipeline stages the next K and V get prefetched during the current iteration — but the real bottleneck might be the pipeliner's schedule itself, which leads me to wonder how FA4 structures its Q and K/V tiling for head dim 256 across two CTAs. With about 42 minutes spent and 78 left, and the current best sitting at roughly 900us per shape (around 0.42x the expert baseline), I decide I need to pick a fast, high-impact strategy rather than keep digging into pipelining theory.\n\nMy options are tuning block size and stage/warp configs, or comparing the persistent stream-K approach (v1, 148 CTAs, ~860us) against the plain grid version (v2, 128 CTAs, ~900us). Since stripping softmax only drops time to about 800us versus 860-900us with it, the bottleneck is clearly the load/MMA pipeline rather than softmax — so I'm considering whether Q could live in TMEM instead of shared memory to free up capacity, since tcgen05 can take the A operand directly from TMEM.\n\nIf Q packs into 128 TMEM columns alongside the accumulator, S, and P buffers, that totals 480 of 512 columns, freeing 64KB of shared memory for an extra K/V pipeline stage. But I'm unsure whether Triton's compiler would actually promote Q to TMEM automatically, since the PromoteLHSToTMem pass seems designed for operands computed fresh each loop iteration (like P), not one loaded once up front — in the v2 TTGIR, Q is still allocated in shared memory, suggesting this promotion might not trigger for it.\n\nI'm also weighing an alternative: splitting K and V into half-dimension chunks with separate barriers so MMA computation on the first half can begin while the second half is still loading, trading finer-grained pipelining for the same total bytes in flight. Shrinking the block size further, say to 32 rows, would cut bytes per stage enough to fit four pipeline stages plus Q within the budget, though I need to work out the total shared memory footprint that results.\n\nWith BN=32 the smem-bound estimate gets even worse, confirming Q-in-smem is costly at small BN. This pushes me toward keeping Q in TMEM instead so the QK MMA can read A directly from TMEM, avoiding repeated smem reads of Q, though I need to work out the TMEM budget across accumulator, Q, S, and P columns.\n\nI'm checking whether BN=64 fits: the TMEM column budget comes out to 480, which works, and the smem footprint with K/V staged over three stages also fits within 192KB. Now I'm wondering if Triton's LHS-to-TMEM promotion pass can be tricked into placing Q in TMEM, since Q is currently loaded into registers and hoisted outside the loop via LICM -- maybe forcing a trivial in-loop computation on Q would make the pass treat it as loop-local and eligible for promotion.\n\nI also reconsider the transposed formulation computing S^T = K·Q^T instead, but that still re-reads one operand (K or Q) from shared memory on every block, so it doesn't avoid the redundant memory traffic -- I'm now tracing through the per-instruction shared memory read costs for tcgen05 MMA to quantify this.\n\nWorking through the arithmetic, I find that any MMA with N < 128 becomes shared-memory bandwidth bound, N = 128 exactly saturates smem bandwidth, and N = 256 leaves headroom. Applying this to QK^T means BN needs to be at least 128 to avoid being smem-bound.\n\nFor PV with the P matrix from TMEM, I compute V reads as taking roughly half the smem bandwidth. Totaling up smem traffic per 128-key block across QK, PV, and TMA writes for K and V, I get about 320KB total, which works out to around 2500 clocks at 128 bytes/clock versus 2048 clocks for the MMA itself, meaning the smem bandwidth is the bottleneck.\n\nAt roughly 2.03GHz this gives around 272us for shape 1 across all blocks per CTA. For FA4's 2-CTA variant, I check if putting Q in TMEM too (so both QK operands come from TMEM/smem) rebalances things — that configuration gets smem traffic down to 256KB per block, about 2000 clocks, which roughly matches the MMA time. But Triton doesn't give me that control since it places Q in smem, so I'm stuck being smem-bandwidth bound at the higher ~2500 clock figure.\n\nWith BN=64 the smem traffic works out worse, around 3000 clocks per 128 keys, yet the measured 900us translates to roughly 7140 clocks — a 2.4x gap above the theoretical floor, pointing to serialization or latency overhead rather than bandwidth as the real bottleneck. Comparing against the expert kernel's 3480 clocks per 128-key-equivalent block, I realize even hitting the smem floor would only make this implementation marginally faster than the expert.\n\nMatching the expert in plain Triton seems very hard; a realistic goal is pushing speed from 0.42x up toward 0.6-0.7x, which would improve the log2-based reward meaningfully. My plan is to maximize pipeline throughput by trying BN=128 with single-stage K/V buffering, accepting that smem capacity limits prevent double buffering and exposes latency.\n\nI consider splitting K and V loads into smaller 32KB chunks for finer-grained pipelining, but Triton's pipeliner allocates buffers per load op, so having four 32KB loads at 2 stages each would exceed the 224KB smem budget. Falling back to BN=64 with 2 stages fits within the 192KB limit.\n\nTrying to apply 3 stages selectively just to K doesn't work since Triton enforces a uniform stage count, and shrinking BM to 64 would halve tcgen05 MMA throughput since only half the lanes get used — not worth it. So I'm leaning toward keeping the current design and instead focusing on optimizing the schedule itself, since the nosoftmax variant's per-iteration tensor work (QK plus PV) already sums close to the observed cycle count.\n\nThen I realize the real bottleneck is memory: at aggregate L2 bandwidth of 10.7TB/s split across 148 SMs, each SM only gets about 36 bytes/clk, so loading 64KB per iteration takes roughly 1840 clocks — far more than the tensor math. That gives a hard floor of around 400-464us for this shape, which matches what I'd estimated before as the L2-to-SM bandwidth limit for BM=128.\n\nSince the expert kernel hits 379us and we're stuck at 800-900us, I conclude a single-CTA BM=128 design in plain Triton simply can't reach that target — the best achievable with perfect overlap is maybe ~500us. The only way around this is to reduce L2 traffic by reusing loaded K/V bytes across more rows, which means increasing M per CTA, but I'm now checking whether TMEM capacity (512 columns × 128 lanes × 32-bit) can actually support a larger accumulator for 256 rows × 256 D in fp32.\n\nWorking through the options: the full TMEM is consumed by the accumulator alone, leaving no room for S or for a split-tile PV temp, so both approaches fail. D-split accumulation with recomputation only cuts L2 traffic by 25%, not nearly enough, and switching to fp8 K/V isn't viable due to accuracy and conversion overhead. So I'm concluding the L2 bandwidth floor of roughly 400us is likely a hard constraint here.\n\nActually, I want to double-check whether that earlier bandwidth number was really the hardware limit or just compute-bound — my fp32-add test hit 10.7-11.9 TB/s, suggesting the true L2 peak could be higher, maybe 15-20 TB/s. I'm trying lighter consumer operations like max or sum reductions instead of elementwise conversion to isolate pure memory bandwidth from compute overhead.\n\nLooking at this from FA4's numbers: their 2-CTA hd256 run at 379us moves 2.15GB per CTA pair, implying 5.7 TB/s, which suggests L2 isn't their bottleneck. For our 1-CTA setup moving 4.3GB in the same time, we'd need 11.3 TB/s, which roughly matches what my own microbenchmark achieved.\n\nMatching that peak in practice looks infeasible though, so my realistic target is just getting as close as possible, since every bit of speedup contributes to the reward. Starting from the current v1 stream-K baseline at 860-900us, I'm considering whether the loads are latency-bound and applying Little's law to figure out how much data needs to be in flight per SM to hide L2 latency.\n\nI'm second-guessing whether two pipeline stages actually provide enough bytes in flight, and wondering if the wait ordering is the real culprit rather than buffer depth. Without profiling data this is mostly guesswork, so I should check whether Nsight Compute is even available in this environment before going further down this path.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":651,"cache_read_input_tokens":147598,"cache_creation":{"ephemeral_5m_input_tokens":651,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"15f6c99a-4e26-4f19-b927-8df53efd9a94","timestamp":"2026-10-17T23:44:20.027Z","request_id":"req_011Cg8hMWtvkAAiNGU1FM3rM","thinking_duration_ms":64763,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hTqCgCemGNdZ6GYvFm","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Without profiling tools, the 64 block size with 8 warps and 2 stages still holds as the best configuration at 860us. I'm examining the loop body structure in the TTGIR to see how the wait and tmem load/store operations for S and PV are ordered, trying to figure out how to restructure for better pipelining overlap.\n\nThe tensor core pipe runs PV_j then QK_{j+1} while softmax and rescale stay idle on that pipe, and the reverse happens on CUDA cores — so full serialization costs the sum of all these stages. I'm checking whether the rotated loop ordering, which tries to issue QK_{j+1} before softmax_j to overlap better, actually holds up when combined with the unconditional rescale, since the rotation reorders the K load, dot product, V load, rescale, and PV accumulation steps.\n\nThat totals to roughly 1750 clocks per iteration versus the current ~3570 measured, which is a solid improvement, though I need to check whether Triton's pipeliner reorders things in a way that breaks this. I'm now working out exactly where the rescale needs to land: it must happen after PV_{j-1} finishes but before PV_j issues, and since PV_{j-1} runs during softmax_j and completes by the time iteration j+1 waits on QK_{j+1}, the rescale timing should naturally work out.\n\nProjecting this out across the full workload (443 blocks per CTA at BN=64, 148 CTAs), I'm estimating around 775K clocks total, which comes to roughly 382us -- a big jump from the current 860us, though I'll need to watch out for L2 bandwidth limits around 400us and latency effects that could eat into those gains. I'm going to write this as v5 now.\n\nDeciding whether to base it on v1's persistent stream-K approach or v2's grid approach -- going with v2 first since it's quicker to test against its current 900us baseline before porting the better version over.\n\nWriting the rotated loop logic...\n\nStill writing the rescaling logic...\n\nI'm now double-checking the ordering of accumulation relative to the running max indices, making sure the softmax rescaling stays aligned with the correct block offsets.\n\nOn the first iteration acc is zero so alpha can just be initialized to ones since it won't matter, and after that the masked loop keeps working relative to the current max correctly. I want to write v5 from v2 with this fix and benchmark it to see if the compiler produces the right instruction order for a real speedup.\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":6959,"cache_read_input_tokens":148249,"cache_creation":{"ephemeral_5m_input_tokens":6959,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"50615866-8043-47b5-98ff-86d000a92021","timestamp":"2026-10-17T23:45:04.889Z","request_id":"req_011Cg8hTprLTrhAYEuo4RNeq","thinking_duration_ms":23783,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hTqCgCemGNdZ6GYvFm","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GGwHJfZGQdQ5832pPwkeUi","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('v2.py').read()\nold = src[src.index(\"    for j in tl.range(j0, j_full, warp_specialize=WS, num_stages=STAGES):\"):src.index(\"    for j in tl.range(j_full, j1, num_stages=1):\")]\nnew = \"\"\"    if j0 < j_full:\n        k = k_desc.load([kv_row0 + j0 * BN, hk * D])\n        s = tl.dot(q, k.T)\n        m_i = tl.max(s, 1) * qk_scale\n        pr = tl.math.exp2(s * qk_scale - m_i[:, None])\n        l_i = tl.sum(pr, 1)\n        p_prev = pr.to(tl.bfloat16)\n        alpha = tl.full((BM,), 1.0, tl.float32)\n        for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\n            k = k_desc.load([kv_row0 + j * BN, hk * D])\n            s = tl.dot(q, k.T)\n            v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n            acc = acc * alpha[:, None]\n            acc = tl.dot(p_prev, v, acc)\n            m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n            alpha = tl.math.exp2(m_i - m_new)\n            pr = tl.math.exp2(s * qk_scale - m_new[:, None])\n            l_i = l_i * alpha + tl.sum(pr, 1)\n            p_prev = pr.to(tl.bfloat16)\n            m_i = m_new\n        v = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D])\n        acc = acc * alpha[:, None]\n        acc = tl.dot(p_prev, v, acc)\n\"\"\"\nsrc = src.replace(old, new)\nsrc = src.replace(\"\"\"        s = tl.where(ok, s, NEG)\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        pr = tl.math.exp2(s - m_new[:, None])\"\"\", \"\"\"        s = tl.where(ok, s, float('-inf'))\n        m_new = tl.maximum(m_i, tl.max(s, 1))\n        pr = tl.math.exp2(s - m_new[:, None])\"\"\")\nopen('v5.py', 'w').write(src)\nEOF\nfor cfg in \"dict(BN=64, WS=False, STAGES=2, num_warps=8)\" \"dict(BN=64, WS=False, STAGES=2, num_warps=4)\" \"dict(BN=128, WS=False, STAGES=1, num_warps=8)\"; do echo \"== $cfg\"; timeout 600 python bench.py v5.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | tail -2 | head -1; done","description":"Write v5 rotated-loop kernel and benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6959,"cache_read_input_tokens":148249,"cache_creation":{"ephemeral_5m_input_tokens":6959,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b6b66cf5-cae1-47b7-9047-1bbc0bc5efc0","timestamp":"2026-10-17T23:45:10.206Z","request_id":"req_011Cg8hTprLTrhAYEuo4RNeq"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GGwHJfZGQdQ5832pPwkeUi","type":"tool_result","content":"== dict(BN=64, WS=False, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=817.1us expert=379 ratio=0.464 TFLOPS=673\n== dict(BN=64, WS=False, STAGES=2, num_warps=4)\n(1, 256, 131072) ok=True  t=1587.2us expert=379 ratio=0.239 TFLOPS=346\n== dict(BN=128, WS=False, STAGES=1, num_warps=8)\n(1, 256, 131072) ok=True  t=1474.5us expert=379 ratio=0.257 TFLOPS=373","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d43cd74e-3a30-44e9-a4fe-1417fd7eef1a","timestamp":"2026-10-17T23:45:34.356Z","tool_use_result":{"stdout":"== dict(BN=64, WS=False, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=817.1us expert=379 ratio=0.464 TFLOPS=673\n== dict(BN=64, WS=False, STAGES=2, num_warps=4)\n(1, 256, 131072) ok=True  t=1587.2us expert=379 ratio=0.239 TFLOPS=346\n== dict(BN=128, WS=False, STAGES=1, num_warps=8)\n(1, 256, 131072) ok=True  t=1474.5us expert=379 ratio=0.257 TFLOPS=373","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GGwHJfZGQdQ5832pPwkeUi","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hXuCdeyBQDYrBCfYr9","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The rotated v5 variant with BN=64 and 8 warps hits 817us, about 10% faster than v2's 900us. I want to check the TTGIR to see the operation ordering inside the loop.\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":4011,"cache_read_input_tokens":155208,"cache_creation":{"ephemeral_5m_input_tokens":4011,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0e5b8d65-ae51-4a4a-a64a-cdb85d9807ca","timestamp":"2026-10-17T23:45:38.056Z","request_id":"req_011Cg8hXts3goNnkXpiEtmCz","thinking_duration_ms":1811,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hXuCdeyBQDYrBCfYr9","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01NqThveM5nCrMTN8Ju8eRh8","name":"Bash","input":{"command":"timeout 300 python dump.py v5.py \"dict(BN=64, WS=False, STAGES=2, num_warps=8, S=4)\" /tmp/v5 2>&1 | tail -1; awk '/scf.for/{f++} f==1' /tmp/v5.ttgir | grep -n \"tc_gen5_mma\\|tmem_load\\|tmem_store\\|wait_barrier\\|async_tma\\|scf.yield\\|math.exp2\\|tt.reduce\\b\\|\\\"tt.reduce\\\"\" | cut -c1-150 | head -40","description":"Inspect v5 loop operation order in TTGIR"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4011,"cache_read_input_tokens":155208,"cache_creation":{"ephemeral_5m_input_tokens":4011,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"f55e6689-3f9f-4bda-bb2a-51701bcab4e9","timestamp":"2026-10-17T23:45:38.752Z","request_id":"req_011Cg8hXts3goNnkXpiEtmCz"}
{"type":"system","subtype":"task_started","task_id":"b7nwcwk0w","run_id":"0mvd1of4g-5e24739b","tool_use_id":"toolu_01NqThveM5nCrMTN8Ju8eRh8","description":"Inspect v5 loop operation order in TTGIR","is_backgrounded":false,"task_type":"local_bash","uuid":"fa06b0fe-8750-4f43-b804-c5dab0723221","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"b7nwcwk0w","run_id":"0mvd1of4g-5e24739b","tool_use_id":"toolu_01NqThveM5nCrMTN8Ju8eRh8","status":"completed","output_file":"","summary":"Inspect v5 loop operation order in TTGIR","uuid":"bc3a5c6c-83b8-4e32-ae42-d4cf306f91c3","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01NqThveM5nCrMTN8Ju8eRh8","type":"tool_result","content":"shared 197184 tmem 512 num_warps 8\n4:        ttng.wait_barrier %l_i_146, %arg22 deps %q_58, %s_147 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #\n5:        %s_152 = ttng.tmem_load %s_119 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc227)\n6:        %m_new = \"tt.reduce\"(%s_152) <{axis = 1 : i32}> ({\n9:          tt.reduce.return %m_new_199 : f32 loc(#loc296)\n14:        %alpha_155 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> loc(#loc232)\n19:        %pr_160 = math.exp2 %pr_159 : tensor<128x64xf32, #linear> loc(#loc236)\n21:        %l_i_162 = \"tt.reduce\"(%pr_160) <{axis = 1 : i32}> ({\n24:          tt.reduce.return %l_i_199 : f32 loc(#loc298)\n28:        ttng.wait_barrier %l_i_148, %arg22 deps %acc_118, %v_149 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, \n34:        ttng.tmem_store %p_prev_164, %acc_118, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutabl\n36:        ttng.wait_barrier %l_i_170, %l_i_169, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc320)\n40:        ttng.tc_gen5_mma %q_58, %s_172, %s_119, %false, %true, %l_i_173[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdes\n42:        ttng.wait_barrier %l_i_174, %l_i_169, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc320)\n47:        %acc_179 = ttng.tmem_load %acc_96 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#l\n49:        ttng.tmem_store %acc_180, %acc_96, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable>\n51:        ttng.tc_gen5_mma %acc_118, %v_175, %acc_96, %true, %true, %l_i_181[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory\n63:        ttng.async_tma_copy_global_to_local %k_desc_20[%k_189, %k_82] %k_191, %l_i_190, %l_i_151 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !t\n70:        ttng.async_tma_copy_global_to_local %v_desc_21[%v_194, %k_82] %v_196, %l_i_195, %l_i_151 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !t\n71:        scf.yield %m_new_154, %l_i_163, %p_prev_164, %alpha_155, %s_186, %s_185, %l_i_167, %l_i_169, %l_i_173, %arg17, %s_172, %l_i_181, %v_175 : t\n74:        ttng.wait_barrier %l_i_126#8, %l_i_126#9 deps %q_58, %l_i_126#10 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16\n75:        %s_142 = ttng.tmem_load %s_119 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc227)\n76:        %m_new = \"tt.reduce\"(%s_142) <{axis = 1 : i32}> ({\n79:          tt.reduce.return %m_new_157 : f32 loc(#loc296)\n84:        %alpha_145 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> loc(#loc232)\n89:        %pr_150 = math.exp2 %pr_149 : tensor<128x64xf32, #linear> loc(#loc236)\n91:        %l_i_152 = \"tt.reduce\"(%pr_150) <{axis = 1 : i32}> ({\n94:          tt.reduce.return %l_i_157 : f32 loc(#loc298)\n98:        ttng.wait_barrier %l_i_126#11, %l_i_126#9 deps %acc_118, %l_i_126#12 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xb\n99:        scf.yield %m_new_144, %l_i_153, %p_prev_154, %alpha_145 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.sl\n101:        scf.yield %l_i_126#0, %l_i_126#1, %l_i_126#2, %l_i_126#3 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.\n124:      ttng.async_tma_copy_global_to_local %v_desc_21[%v_130, %k_82] %v_131, %v_132, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.mem\n125:      ttng.wait_barrier %v_132, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc248)\n130:      %acc_136 = ttng.tmem_load %acc_96 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#lo\n133:      ttng.tmem_store %acc_137, %acc_138, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable>\n137:      ttng.tc_gen5_mma %acc_139, %v_131, %acc_138, %true, %true, %acc_140[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory\n138:      ttng.wait_barrier %acc_140, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n140:      %acc_141 = ttng.tmem_load %acc_138 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#l\n141:      scf.yield %l_i_127#0, %l_i_127#1, %acc_141 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, \n143:      scf.yield %cst_7, %cst_10, %cst_0 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = \n152:    ttng.tmem_store %1#2, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc2","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"93b94c3d-875b-48dd-8b5d-fe607362cadd","timestamp":"2026-10-17T23:45:44.078Z","tool_use_result":{"stdout":"shared 197184 tmem 512 num_warps 8\n4:        ttng.wait_barrier %l_i_146, %arg22 deps %q_58, %s_147 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16, #shared, #\n5:        %s_152 = ttng.tmem_load %s_119 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc227)\n6:        %m_new = \"tt.reduce\"(%s_152) <{axis = 1 : i32}> ({\n9:          tt.reduce.return %m_new_199 : f32 loc(#loc296)\n14:        %alpha_155 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> loc(#loc232)\n19:        %pr_160 = math.exp2 %pr_159 : tensor<128x64xf32, #linear> loc(#loc236)\n21:        %l_i_162 = \"tt.reduce\"(%pr_160) <{axis = 1 : i32}> ({\n24:          tt.reduce.return %l_i_199 : f32 loc(#loc298)\n28:        ttng.wait_barrier %l_i_148, %arg22 deps %acc_118, %v_149 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xbf16, #tmem, \n34:        ttng.tmem_store %p_prev_164, %acc_118, %true : tensor<128x64xbf16, #linear> -> !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory, mutabl\n36:        ttng.wait_barrier %l_i_170, %l_i_169, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc320)\n40:        ttng.tc_gen5_mma %q_58, %s_172, %s_119, %false, %true, %l_i_173[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem>, !ttg.memdes\n42:        ttng.wait_barrier %l_i_174, %l_i_169, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc320)\n47:        %acc_179 = ttng.tmem_load %acc_96 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#l\n49:        ttng.tmem_store %acc_180, %acc_96, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable>\n51:        ttng.tc_gen5_mma %acc_118, %v_175, %acc_96, %true, %true, %l_i_181[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory\n63:        ttng.async_tma_copy_global_to_local %k_desc_20[%k_189, %k_82] %k_191, %l_i_190, %l_i_151 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !t\n70:        ttng.async_tma_copy_global_to_local %v_desc_21[%v_194, %k_82] %v_196, %l_i_195, %l_i_151 : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !t\n71:        scf.yield %m_new_154, %l_i_163, %p_prev_164, %alpha_155, %s_186, %s_185, %l_i_167, %l_i_169, %l_i_173, %arg17, %s_172, %l_i_181, %v_175 : t\n74:        ttng.wait_barrier %l_i_126#8, %l_i_126#9 deps %q_58, %l_i_126#10 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x256xbf16\n75:        %s_142 = ttng.tmem_load %s_119 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear> loc(#loc227)\n76:        %m_new = \"tt.reduce\"(%s_142) <{axis = 1 : i32}> ({\n79:          tt.reduce.return %m_new_157 : f32 loc(#loc296)\n84:        %alpha_145 = math.exp2 %alpha : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> loc(#loc232)\n89:        %pr_150 = math.exp2 %pr_149 : tensor<128x64xf32, #linear> loc(#loc236)\n91:        %l_i_152 = \"tt.reduce\"(%pr_150) <{axis = 1 : i32}> ({\n94:          tt.reduce.return %l_i_157 : f32 loc(#loc298)\n98:        ttng.wait_barrier %l_i_126#11, %l_i_126#9 deps %acc_118, %l_i_126#12 : !ttg.memdesc<1xi64, #shared2, #smem, mutable>, !ttg.memdesc<128x64xb\n99:        scf.yield %m_new_144, %l_i_153, %p_prev_154, %alpha_145 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.sl\n101:        scf.yield %l_i_126#0, %l_i_126#1, %l_i_126#2, %l_i_126#3 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.\n124:      ttng.async_tma_copy_global_to_local %v_desc_21[%v_130, %k_82] %v_131, %v_132, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.mem\n125:      ttng.wait_barrier %v_132, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc248)\n130:      %acc_136 = ttng.tmem_load %acc_96 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#lo\n133:      ttng.tmem_store %acc_137, %acc_138, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable>\n137:      ttng.tc_gen5_mma %acc_139, %v_131, %acc_138, %true, %true, %acc_140[%true] {is_async} : !ttg.memdesc<128x64xbf16, #tmem, #ttng.tensor_memory\n138:      ttng.wait_barrier %acc_140, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc300)\n140:      %acc_141 = ttng.tmem_load %acc_138 : !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<128x256xf32, #linear1> loc(#l\n141:      scf.yield %l_i_127#0, %l_i_127#1, %acc_141 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, \n143:      scf.yield %cst_7, %cst_10, %cst_0 : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>>, tensor<128xf32, #ttg.slice<{dim = 1, parent = \n152:    ttng.tmem_store %1#2, %acc, %true : tensor<128x256xf32, #linear1> -> !ttg.memdesc<128x256xf32, #tmem1, #ttng.tensor_memory, mutable> loc(#loc2","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01NqThveM5nCrMTN8Ju8eRh8","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":5,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e88c7c57-496f-44ca-abff-01500a0f8c5f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":10,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"290026d7-68fa-4d79-86c1-897d36a21eb7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":16,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"339bc33b-1cae-4f98-a130-302063a3d3f5"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":17,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"75f5cc26-8ab7-49ea-8cc0-340a14e575b1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ba6d8ce5-a412-4475-ab91-fec6b7ef51f7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"605900f0-65ad-4c5d-9cb1-2f4b4b4b8c6b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":23,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"aa4d6090-8b8f-4da6-a647-aeccc2c93359"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":27,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1921caf3-02aa-4836-b034-2771f300ae07"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":30,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b1bfb353-e37e-43a7-9f30-bf94d9deabb1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":33,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"845e390a-b7b0-48e9-b43d-ad9fa96d50de"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":37,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"2cb27449-4a42-438a-b3b1-a9759b1ab433"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":43,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"67283e3c-4049-448c-b334-776a649b7a95"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":49,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"84c50c54-5f5b-45e9-b83a-4e7b2efa849b"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":66,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"13e4439e-0410-43af-8182-452333af80f1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":69,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c83c6790-a0cb-4c0d-bcfc-066a99dcbc22"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":75,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"db1ea035-0f43-437e-89f2-f187c7fea88b"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":81,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c4f4699a-a942-4795-b2c3-964ef05863c0"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":83,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a542a4b5-c374-4c55-971f-c4df07db7eff"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":86,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ffc7149c-c7d8-436f-ba2c-6bfc79f09e36"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":87,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d1047d7a-d143-47fb-a514-06531e1e4e0f"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":92,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8fe14652-d90d-41f7-9a93-3f73c3fa9ce8"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":98,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5ed98c21-af44-433e-b2e3-62fbd016809e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":103,"estimated_tokens_delta":5,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"250eb765-d1d3-4efb-b0e3-33c9a44b6c1e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":104,"estimated_tokens_delta":1,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e41d1bb1-f100-4e28-a5f7-8d34c366b098"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":107,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"1121b626-d7b8-48cf-b1cc-7e5e69e44702"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":113,"estimated_tokens_delta":6,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"6c605a4f-c11b-4e91-b8fa-576f4c36f3b3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":115,"estimated_tokens_delta":2,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"13359885-6cb1-4a4a-98b3-54175bc1d35c"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":119,"estimated_tokens_delta":4,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8e95832f-acd5-4749-a21d-81194c8c252e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":122,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"d356cc3a-5b60-47c0-bd62-2243b493987e"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":125,"estimated_tokens_delta":3,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ebc2d1b1-29d6-4582-8f10-bc5293e15658"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hYckTS4h6bb9jeZt8x","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tracing how the pipeliner restructured the loop body — waiting on QK then loading S, running softmax, waiting on the previous PV dependency before storing P, then issuing the next QK wait and finally waiting on the next PV stage.\n\nActually, it looks like the pipeliner re-rotated the loop so QK_{j+1} issues before the accumulator rescale, letting the tensor pipe run QK_{j+1} during the rescale and then PV_j while softmax_{j+1} runs — decent overlap. But the measured 817us (3240 clocks/iteration) is still 2.5x the pure tensor time, so I'm now suspecting the real bottleneck is memory bandwidth: back-of-envelope math on bytes moved per iteration gives roughly 5.2 TB/s, about half of what a pure streaming test achieves, which points to the K/V loads issued late in the iteration as the culprit.\n\nWith only 2 stages of K/V buffering, loads can't be issued early enough to hide latency — ideally I'd want 4 stages, but shared memory is limited since Q alone eats 64KB at BN=64. I'm weighing ways to free up smem: shrinking Q to BM=64 hurts MMA efficiency and doubles L2 traffic per FLOP so that's out, and trying BN=32 with 4 stages across 8 warps actually made things worse (962us) since QK with N=32 becomes more smem-bound. Now I'm considering whether V even needs its own separate smem buffer.\n\nTracing through the buffer indices confirms the double-buffering works correctly, giving roughly one iteration of latency hiding (~1.5us) for both K and V loads, which should cover typical L2 latency. I'm now estimating the bandwidth needed per SM given ~64KB in flight per iteration.\n\nIf latency L approaches T_iter, we end up latency-bound at roughly one iteration's worth of clocks (~3000), which actually matches the measured ~3240 — so the loads have insufficient prefetch depth. Trying to increase prefetch depth by shrinking stage size to BN=32 (32KB per stage, 3-iteration lookahead) backfires because the Q-to-N ratio becomes inefficient, dominated by smem reads of Q; measured at 962us, so that's a dead end.\n\nSplitting the D dimension for Q·K^T into low/high halves doesn't reduce total smem traffic. Running 2 CTAs per SM to double in-flight loads also fails because each CTA needs 192KB of smem for Q and K/V, leaving room for only one CTA per SM.\n\nTrying BM=64 with two CTAs per SM instead runs into a different wall: M=64 MMAs only achieve half throughput versus M=128, so two such CTAs match the tensor throughput of one M=128 CTA but double the L2 traffic since each loads its own K/V — making this approach L2-bound.\n\nSince we're latency-bound on loads with 64KB in flight, I'm considering a three-stage K/V pipeline, but that needs 192KB plus Q's 64KB, exceeding budget. Unless Q moves into TMEM instead of smem — checking the PromoteLHSToTMem conditions, if Q lived in TMEM then smem would free up for three stages, and TMEM itself (accumulator + S + P + Q) seems to fit within the 512-column budget.\n\nI'm recalling that the pass promotes an MMA's LHS operand to TMEM specifically when it's produced by a local_alloc from a register value defined inside the loop, rather than being loop-invariant, since loop-invariant operands are fine staying in shared memory.\n\nFor Q, the local_alloc sits outside the loop since LICM hoists it, so it never gets promoted. I'm wondering if I could force the allocation inside the loop by making q appear loop-variant, but that would mean re-materializing q and doing a TMEM store every iteration, adding real CUDA-core overhead.\n\nThen checking the register math: 64 regs for q plus S tile's 32 regs plus the 128 regs needed for full accumulator rescale pushes past 255 registers per thread, causing spills — that approach fails.\n\nAnother angle is forcing q to look loop-carried using a data-dependent where-expression so the compiler can't hoist it, which would make it register-resident each iteration and trigger a promoted tmem_alloc with a 64KB store per iteration.\n\nI'm also checking whether shared memory is actually fully packed: 197184 bytes breaks down into Q at 65536, K and V at 32768 each for two stages, plus barrier overhead — nothing wasted, so there's no slack to free up.\n\nTo get three pipeline stages something has to shrink, but BN=48 isn't a power of two and Triton requires power-of-two tensor shapes for TMA, so that's ruled out. I'm now wondering if K and V could use different stage counts within Triton's pipeliner.\n\nTriton's num_stages applies uniformly to all loads in the loop, so splitting K and V into separately-staged halves isn't controllable per-load. I'm reconsidering whether the real bottleneck is actually TMA issue rate or L2 bandwidth contention from multiple CTAs reading the same data rather than shared memory capacity.\n\nTo distinguish latency-bound from bandwidth-bound behavior, I should rerun the kernel with fewer CTAs — if per-iteration timing stays flat it points to latency, if it drops it points to bandwidth.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8heY1cu6mysD46qPppz","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"With hot cache loads it's 633us vs 817us, so memory accounts for roughly 23% of time while the rest is the compute pipeline chain at about 2500 clocks per iteration versus an ideal tensor estimate near 1262. I'm now tracing through the loop structure to see what's serializing execution, starting with the wait-then-load sequence for QK.\n\nI'm mapping out the dependency chain across the loop: the row max and row sum reductions require cross-warp synchronization through shared memory since each row is split across two warps, then there's a wait for the previous PV before storing P, followed by the next K wait and QK issue, and finally a costly rescale step involving TMEM load/multiply/store of the accumulator at 128×256 fp32. I'm trying to figure out whether the tensor core execution of the prior PV overlaps with the early reduction steps, which would set the iteration time as roughly the max of those two paths plus the remaining rescale and issue steps, and I'm now estimating TMEM read/write bandwidth per clock to size up how expensive that rescale actually is.\n\nWorking through the numbers, the rescale comes out to roughly 600-768 clocks once I add up the TMEM load, TMEM store, and the FMUL throughput, which is a substantial chunk of each iteration. Combined with softmax at around 800 clocks, the CUDA-core side — softmax plus rescale — looks like the real bottleneck, putting total iteration time around 1800-2500 clocks while the tensor core work overlaps underneath it. That points me toward trying to cut the rescale cost, and I'm starting to consider a conditional rescale approach as one option.\n\nBut I immediately run into the problem that conditional rescale via scf.if forces the accumulator to be carried in registers, which the compiler handles poorly. I also tried halving the rescale frequency by doubling the block size to 128 keys, but without double buffering that exposes memory latency and actually measured slower (1474us) than the baseline. Splitting the accumulator into smaller column chunks doesn't reduce total work either, so none of these variations are cheap wins — I need to find a way to skip the rescale computation itself without the register-carry penalty, maybe through predicated MMA or some other trick to avoid the scf.if construct.\n\nI'm also considering a two-pass softmax that computes the row max first with a cheap QK-only pass before doing the PV accumulation without ever rescaling, but that costs 1.5x the tensor FLOPs and K loads, which is bad since we're already memory-latency-bound. Another option is using a stale max that's only refreshed every few iterations, accepting some risk that a new block's max could overflow the stale reference by too much.\n\nSo an 80x outlier key could push exp2 arguments into the hundreds, overflowing fp32 if relying on a stale max — that's a real risk. I try guarding by always taking the max of the reference and the current row max for computing P, but if I don't rescale the accumulator in sync, I end up mixing contributions from inconsistent reference maxima, which breaks correctness too.\n\nI wonder if scaling could instead happen through an MMA operation — multiplying the accumulator by a diagonal scaling matrix — but that requires the accumulator to live in shared memory as the B operand, which doesn't fit the layout. Another option is to anchor everything to the very first block's max and never rescale, but then the exponent argument could still exceed the safe range if later scores are much larger than that fixed reference, risking overflow.\n\nI'm thinking about bf16 and fp32 exponent ranges and whether a gap of around 60 between the running reference max and new block maxes stays safe, with a rare rescale only triggered when that gap is exceeded. To avoid the scf.if branch problem for that rare rescale, I consider restructuring the loop to check whether any row's new max exceeds the threshold and handle that rare case outside the normal conditional flow.\n\nSince the hoist-tmem-alloc pass is designed for loop-carried accumulators, a nested loop version might actually succeed where scf.if failed—or I could try scf.while instead. I'm sketching a stale-max rescaling scheme: track a reference max per row, compute whether the new block max exceeds it by some threshold, and only rescale acc/l_i inside a conditional-trip-count loop when needed.\n\nI'm working through the ordering constraint in the rotated loop: PV from the previous block must finish accumulating before any rare rescale of acc can happen, then the current block's P values get computed relative to the (possibly updated) running max—so the sequence is issue PV_{j-1}, compute new max from S_j, conditionally rescale, then compute P_j. Now I'm setting up a version with a threshold constant for when to trigger rescaling.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hivtPnmiGkkTRT95Sd","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Q6WcaNgHX3jzxK18pS7EKM","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v1.py').read()\nold = src[src.index(\"        for j in tl.range(j0, j_full, warp_specialize=WS, num_stages=STAGES):\"):src.index(\"        for j in tl.range(j_full, j1, num_stages=1):\")]\nnew = \"\"\"        if j0 < j_full:\n            k = k_desc.load([kv_row0 + j0 * BN, hk * D])\n            s = tl.dot(q, k.T)\n            m_i = tl.max(s, 1) * qk_scale\n            pr = tl.math.exp2(s * qk_scale - m_i[:, None])\n            l_i = tl.sum(pr, 1)\n            p_prev = pr.to(tl.bfloat16)\n            alpha = tl.full((BM,), 1.0, tl.float32)\n            for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\n                k = k_desc.load([kv_row0 + j * BN, hk * D])\n                s = tl.dot(q, k.T)\n                v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n                acc = acc * alpha[:, None]\n                acc = tl.dot(p_prev, v, acc)\n                m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n                alpha = tl.math.exp2(m_i - m_new)\n                pr = tl.math.exp2(s * qk_scale - m_new[:, None])\n                l_i = l_i * alpha + tl.sum(pr, 1)\n                p_prev = pr.to(tl.bfloat16)\n                m_i = m_new\n            v = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D])\n            acc = acc * alpha[:, None]\n            acc = tl.dot(p_prev, v, acc)\n\"\"\"\nsrc = src.replace(old, new)\nsrc = src.replace(\"\"\"            s = tl.where(ok, s, NEG)\n            m_new = tl.maximum(m_i, tl.max(s, 1))\"\"\", \"\"\"            s = tl.where(ok, s, float('-inf'))\n            m_new = tl.maximum(m_i, tl.max(s, 1))\"\"\")\nsrc = src.replace(\"HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps)\", \"HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps, num_stages=STAGES)\")\nopen('v7.py', 'w').write(src)\nEOF\ngrep -n \"float('-inf')\\|num_stages=STAGES)\" v7.py; timeout 900 python bench.py v7.py \"dict(BN=64, WS=False, STAGES=2, num_warps=8)\" 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio\" | head -6","description":"Port rotated loop into persistent stream-K kernel (v7) and benchmark all shapes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4582,"cache_read_input_tokens":168434,"cache_creation":{"ephemeral_5m_input_tokens":4582,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"627354dd-6a26-4541-aef5-897da8ce878e","timestamp":"2026-10-17T23:48:20.728Z","request_id":"req_011Cg8hiv7G8NsGkq8dt4hsv"}
{"type":"system","subtype":"task_started","task_id":"b3ir57kvn","run_id":"0mvd1rw3v-7671f032","tool_use_id":"toolu_01Q6WcaNgHX3jzxK18pS7EKM","description":"Port rotated loop into persistent stream-K kernel (v7) and benchmark all shapes","is_backgrounded":false,"task_type":"local_bash","uuid":"651549c1-168d-439c-99a8-9f0b7aebddcb","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"b3ir57kvn","run_id":"0mvd1rw3v-7671f032","tool_use_id":"toolu_01Q6WcaNgHX3jzxK18pS7EKM","status":"completed","output_file":"","summary":"Port rotated loop into persistent stream-K kernel (v7) and benchmark all shapes","uuid":"160eb738-6931-4cf9-adc2-320cdd4ec7ef","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Q6WcaNgHX3jzxK18pS7EKM","type":"tool_result","content":"64:            for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\n84:            s = tl.where(ok, s, float('-inf'))\n162:                      HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps, num_stages=STAGES)\n(1, 256, 131072) ok=True  t=796.7us expert=379 ratio=0.476 TFLOPS=690\n(1, 512, 65536) ok=True  t=804.8us expert=356 ratio=0.442 TFLOPS=683\n(1, 512, 131072) ok=True  t=1550.3us expert=692 ratio=0.446 TFLOPS=709\n(2, 256, 65536) ok=True  t=812.0us expert=381 ratio=0.469 TFLOPS=677\ngeomean ratio vs expert: 0.45818262674098514","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"58f6fa12-4de7-4448-ab3f-c84a38b1f9f5","timestamp":"2026-10-17T23:48:31.616Z","tool_use_result":{"stdout":"64:            for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\n84:            s = tl.where(ok, s, float('-inf'))\n162:                      HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, WS=WS, STAGES=STAGES, num_warps=num_warps, num_stages=STAGES)\n(1, 256, 131072) ok=True  t=796.7us expert=379 ratio=0.476 TFLOPS=690\n(1, 512, 65536) ok=True  t=804.8us expert=356 ratio=0.442 TFLOPS=683\n(1, 512, 131072) ok=True  t=1550.3us expert=692 ratio=0.446 TFLOPS=709\n(2, 256, 65536) ok=True  t=812.0us expert=381 ratio=0.469 TFLOPS=677\ngeomean ratio vs expert: 0.45818262674098514","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Q6WcaNgHX3jzxK18pS7EKM","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hky2wWRvtyVGsh7eVT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The stream-K with rotation only hit about 797us, barely beating the grid version with 128 CTAs at 817 -- the while-loop overhead or L2 contention with 148 CTAs might be eating the expected gains. With a geomean ratio of 0.458, I want to save this as the solution but need to verify correctness first, so I'm drafting an edge-case test script covering unusual shapes.\n\n","signature":"CAQS8wkKEAgSGAI4AUIIdGhpbmtpbmcSDJccLIds4rohTj9byhoMwedvNpvQNa+Y1pfGIjD/icFG8l2mlH0YXFRXOORmKCKA0TVEBEQnpZ4WbkhrWulHN3NDlw0dGI16srvEng0qkAm6HrLfM2vhtHk8ZxiFUZjqBV2sYFYhqNeSldwpgw0ZQGqn1qt/znLeq0SWh9h5G+l7SEiUQZKPMah6Y0e0tLJp0Vu8/mbx1dNTaStSiOlndSfjWrZU1K1hZ5Srl8nToNK5yCcy8S9WmSqnf0TIyxBtJ3hbGtQopsdqzetzYdKp8SoaWM5Wtu0W6aLexeWrHhJLjID9KnzO7PyYWLNKUkBywbNgY49nhUb5I+qGUdLt9ItqwAux1qdysZM0giR0QwI+1WrhTykB2sI0NnlFPbPdB6WgdgE+YqlYIHLjb16fwgh/PSZSn8+DhlHJlR5Rz2KlaUmHWkUpTr6zxeoU38bldb3Kc4lLweRP5uYGmBrKdVMQfFPSkzEnzAUJWcxxcCzBkV3nYfQNDMgEHA4eBXkONdRs46SNzl7hwxvhDEcyHjzbEU0df020v8v1vnSJ31gJh6g828DrBECOoSu3hzLXNbSqNElbAgupt6VOAkW8JyqyY7gRsVclJ8T6p6tN7Xw+FjBEjg2WbyxcXZTH02TcnWRFQOh5PpXSaZDkjSjMDeL9cTe/4iE1tYFy6vc1sLIz71Ola0emPzPll2cVLvDYma1rDuoit/NVfLWVpiUdj+YpMm2QmuGyaVf+ZSduWDmVeZ5h/napzbX557rB8eqA9NHEGgWQRKhWkll10eet59xexO/UoKuVS/KbXDiljj/OIQn22OzBoad8IEYbyxeMoYaJNaDkdI3519B3QzchmGeGi2pPMek64heZVHNVI19j4PcTz4jJ959gd7YtewTwFTpnEzk1oBJbLW8surC9vYu/SmNK6npZO/db11wr4551RoaeOq6bSXnwLw/Q1HgZEdfhqOibjzIUpsZCRcWWWP7izfUvQ5/QLF7SRKfkGQ4klBZHnnMs8/eu0AvqejcyBiqtWVVZd95mj3wlmxiwskOB2DLb05+++0EA1HygWZWz1dpj1jVl8PSNgxxl/HO60rQVNc+rHXvLQohT7jIxBtsezcNJwB968FPPGRCRAIsciibDmFFf9yPDX2aXIbGvLLlmo/sv0tDwZ2HhKogdGHE7M26lZmrzY9hQBrAfWm8VKa+dFO5AatOhEAsLHrGFrfmwe99BAoZpRv1vpSk83zrZsiVUBWFdXHnyAtFeq04pxxoyDG5XWx6dJzVXCisNmGUYVB/F0XbXsAPIOh1vxhgt9IlSL4E1WRckPgMfthN+Jq46P3iPck2Cj6htbLrYeqMEkYGb6cyU603ldKRfEUqUCJoxNNg/1r6GS1fnxrouLyhkZPm+JkWumqlphP92Cb9XQT1AODBNYAU4NSVILoJDQDj8IrsHOuk0i98T9g7ydSeIvt3/07Fa0WqR5sJtF8tAahtgXNStxWBqNjOkWp1+nsNrEtTytLEW2+8ovidD9lll7lmdKVwiOR2mtd5ob1aW2D+TdMJwx09oBjnbqOK/DNaRA0aL0+UsMmkx15Wbn7c6h45OTQqqpYm49DFJuCUikpgPWnQMcbjJxwrLeu5G9G9DBwC/8EKtfIc3OoaFoZjRmDwzYacxxS4PHZHvGAE="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2318,"cache_read_input_tokens":173016,"cache_creation":{"ephemeral_5m_input_tokens":2318,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"3dc950bf-ad34-47f2-aa8a-cd08dc975d4a","timestamp":"2026-10-17T23:48:38.185Z","request_id":"req_011Cg8hkxiLFauksN5AfL8Lh","thinking_duration_ms":4730,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hky2wWRvtyVGsh7eVT","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_019HnN8AFZY8oJKAm5y8LVMo","name":"Bash","input":{"command":"cd /workspace/dev; cat > edge.py << 'EOF'\nimport sys, importlib.util, torch\nsys.path.insert(0, '/workspace')\nimport task as T\nspec = importlib.util.spec_from_file_location('m', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nkw = eval(sys.argv[2]) if len(sys.argv) > 2 else {}\nshapes = [dict(B=1, Sq=1, Sk=1), dict(B=1, Sq=1, Sk=777), dict(B=2, Sq=3, Sk=5), dict(B=1, Sq=100, Sk=100),\n          dict(B=3, Sq=37, Sk=1000), dict(B=1, Sq=200, Sk=4097), dict(B=1, Sq=64, Sk=64), dict(B=1, Sq=128, Sk=8192),\n          dict(B=2, Sq=513, Sk=2000), dict(B=1, Sq=1024, Sk=1024), dict(B=4, Sq=16, Sk=32768), dict(B=1, Sq=300, Sk=70001)]\ndef mk(shape, dist):\n    g = torch.Generator(device='cuda'); g.manual_seed(123)\n    B, Sq, Sk = shape['B'], shape['Sq'], shape['Sk']\n    def r(*s):\n        x = torch.randn(*s, generator=g, device='cuda')\n        if dist == 'outlier':\n            mask = torch.rand(*s, generator=g, device='cuda') < 0.001\n            x = torch.where(mask, x * 80, x)\n        elif dist == 'small':\n            x = x * 1e-4\n        elif dist == 'large':\n            x = x * 30\n        elif dist == 'rowscale':\n            sc = 10 ** (torch.rand(*s[:-1], 1, generator=g, device='cuda') * 4 - 2)\n            x = x * sc\n        elif dist == 'shift':\n            x = x + 3\n        return x.to(torch.bfloat16)\n    q = r(B, Sq, 16, 256); k = r(B, Sk, 8, 256); v = r(B, Sk, 8, 256)\n    if dist == 'zero':\n        q[:, ::3] = 0; k[:, ::5] = 0; v[:, ::7] = 0\n    out = torch.full((B, Sq, 16, 256), float('nan'), device='cuda', dtype=torch.bfloat16)\n    return [q, k, v, out]\nallok = True\nfor dist in ['normal', 'outlier', 'small', 'large', 'rowscale', 'shift', 'zero']:\n    for shape in shapes:\n        args = mk(shape, dist)\n        exp = T.reference([a.clone() for a in args])\n        m.kernel_fn(*args, **kw); torch.cuda.synchronize()\n        ok, st = T.check({3: args[3]}, exp)\n        if not ok:\n            allok = False\n            print('FAIL', dist, shape, st, flush=True)\nprint('ALL OK' if allok else 'SOME FAILED')\nEOF\ntimeout 900 python edge.py v7.py \"dict(BN=64, WS=False, STAGES=2, num_warps=8)\" 2>&1 | grep -v \"^  \" | tail -15","description":"Run edge-shape and distribution correctness tests on v7"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2318,"cache_read_input_tokens":173016,"cache_creation":{"ephemeral_5m_input_tokens":2318,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"33beaf95-45ac-4bb4-934c-2b23c7defbe3","timestamp":"2026-10-17T23:48:44.884Z","request_id":"req_011Cg8hkxiLFauksN5AfL8Lh"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hovVipJJ2G6rEYe1J5","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_016Eioj1UvvJYG4uqDRh5cXT","name":"Bash","input":{"command":"cd /workspace && sed -e 's/def kernel_fn(q, k, v, out, BN=64, WS=True, STAGES=2, num_warps=4, NCm=1):/def kernel_fn(q, k, v, out):\\n    BN, WS, STAGES, num_warps, NCm = 64, False, 2, 8, 1/' dev/v7.py > solution.py && grep -n \"def kernel_fn\" -A 2 solution.py && timeout 900 python check.py 2>&1 | tail -5","description":"Save v7 as solution.py and run the official check"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1605,"cache_read_input_tokens":175334,"cache_creation":{"ephemeral_5m_input_tokens":1605,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"f913136d-7f66-49c2-a411-b77377ff1938","timestamp":"2026-10-17T23:49:15.659Z","request_id":"req_011Cg8houtkoBAQFoTu2cvBW"}
{"type":"system","subtype":"task_started","task_id":"b3osdfyyv","run_id":"0mvd1t2i2-19a1407c","tool_use_id":"toolu_016Eioj1UvvJYG4uqDRh5cXT","description":"Save v7 as solution.py and run the official check","is_backgrounded":false,"task_type":"local_bash","uuid":"474d8a6e-5344-4389-9fa0-1ec0a1f6a9d1","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"b3osdfyyv","run_id":"0mvd1t2i2-19a1407c","tool_use_id":"toolu_016Eioj1UvvJYG4uqDRh5cXT","status":"completed","output_file":"","summary":"Save v7 as solution.py and run the official check","uuid":"df14dabd-e7e1-433c-9020-56892799abba","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_016Eioj1UvvJYG4uqDRh5cXT","type":"tool_result","content":"143:def kernel_fn(q, k, v, out):\n144-    BN, WS, STAGES, num_warps, NCm = 64, False, 2, 8, 1\n145-    B, Sq, HQ, D = q.shape\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 842.37 us, starting kernel 9414.62 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 850.94 us, starting kernel 5961.79 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1603.39 us, starting kernel 11978.53 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 853.66 us, starting kernel 6144.48 us\nautosave: kept this version in /workspace/.best/solution.py (8.055x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"493596b2-1324-4dfc-8fd1-939d0da2482f","timestamp":"2026-10-17T23:49:24.340Z","tool_use_result":{"stdout":"143:def kernel_fn(q, k, v, out):\n144-    BN, WS, STAGES, num_warps, NCm = 64, False, 2, 8, 1\n145-    B, Sq, HQ, D = q.shape\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 842.37 us, starting kernel 9414.62 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 850.94 us, starting kernel 5961.79 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1603.39 us, starting kernel 11978.53 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 853.66 us, starting kernel 6144.48 us\nautosave: kept this version in /workspace/.best/solution.py (8.055x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_016Eioj1UvvJYG4uqDRh5cXT","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hprV9MgyrrzGgDzv7y","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Saved — check.py confirms 8.06x speedup over the starting kernel. Next, I'll try splitting the accumulator and V into two 128-column halves so rescaling one half overlaps the PV MMA of the other, reducing 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":754,"cache_read_input_tokens":176939,"cache_creation":{"ephemeral_5m_input_tokens":754,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c05df521-1dde-4d32-b802-cc91e90afc12","timestamp":"2026-10-17T23:49:31.977Z","request_id":"req_011Cg8hprA4avymb85FMVYtc","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hprV9MgyrrzGgDzv7y","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GVSBbsbhqJTqdQQihumhQS","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v7.py').read()\nsrc = src.replace(\"\"\"    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\"\"\",\n\"\"\"    DH: tl.constexpr = D // 2\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, DH])\n    rdh = tl.arange(0, DH)\"\"\")\nsrc = src.replace(\"\"\"        acc = tl.zeros((BM, D), tl.float32)\"\"\", \"\"\"        acc0 = tl.zeros((BM, DH), tl.float32)\n        acc1 = tl.zeros((BM, DH), tl.float32)\"\"\")\nsrc = src.replace(\"\"\"                v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n                acc = acc * alpha[:, None]\n                acc = tl.dot(p_prev, v, acc)\"\"\", \"\"\"                v0 = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n                v1 = v_desc.load([kv_row0 + (j - 1) * BN, hk * D + DH])\n                acc0 = acc0 * alpha[:, None]\n                acc0 = tl.dot(p_prev, v0, acc0)\n                acc1 = acc1 * alpha[:, None]\n                acc1 = tl.dot(p_prev, v1, acc1)\"\"\")\nsrc = src.replace(\"\"\"            v = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D])\n            acc = acc * alpha[:, None]\n            acc = tl.dot(p_prev, v, acc)\"\"\", \"\"\"            v0 = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D])\n            v1 = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D + DH])\n            acc0 = acc0 * alpha[:, None]\n            acc0 = tl.dot(p_prev, v0, acc0)\n            acc1 = acc1 * alpha[:, None]\n            acc1 = tl.dot(p_prev, v1, acc1)\"\"\")\nsrc = src.replace(\"\"\"            acc = acc * alpha[:, None]\n            v = v_desc.load([kv_row0 + j * BN, hk * D])\n            acc = tl.dot(pr.to(tl.bfloat16), v, acc)\"\"\", \"\"\"            v0 = v_desc.load([kv_row0 + j * BN, hk * D])\n            v1 = v_desc.load([kv_row0 + j * BN, hk * D + DH])\n            pb = pr.to(tl.bfloat16)\n            acc0 = acc0 * alpha[:, None]\n            acc0 = tl.dot(pb, v0, acc0)\n            acc1 = acc1 * alpha[:, None]\n            acc1 = tl.dot(pb, v1, acc1)\"\"\")\nsrc = src.replace(\"\"\"        o_ptr = Op + (slot.to(tl.int64) * BM + rows)[:, None] * D + rd[None, :]\n        tl.store(o_ptr, acc)\"\"\", \"\"\"        o_ptr = Op + (slot.to(tl.int64) * BM + rows)[:, None] * D + rdh[None, :]\n        tl.store(o_ptr, acc0)\n        tl.store(o_ptr + DH, acc1)\"\"\")\nassert 'acc =' not in src.split('def _combine')[0].replace('acc0 =', '').replace('acc1 =', ''), [l for l in src.split('def _combine')[0].split('\\n') if 'acc =' in l]\nopen('v8.py', 'w').write(src)\nEOF\nfor cfg in \"dict(BN=64, WS=False, STAGES=2, num_warps=8)\" \"dict(BN=64, WS=False, STAGES=2, num_warps=4)\"; do echo \"== $cfg\"; timeout 600 python bench.py v8.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio=\" | head -3; done","description":"Write v8 with split accumulator halves and test"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":754,"cache_read_input_tokens":176939,"cache_creation":{"ephemeral_5m_input_tokens":754,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"6931fc91-796b-4edd-b945-bf7bb5163237","timestamp":"2026-10-17T23:49:40.444Z","request_id":"req_011Cg8hprA4avymb85FMVYtc"}
{"type":"system","subtype":"task_started","task_id":"bilptjdjb","run_id":"0mvd1tlm6-1ebabd0e","tool_use_id":"toolu_01GVSBbsbhqJTqdQQihumhQS","description":"Write v8 with split accumulator halves and test","is_backgrounded":false,"task_type":"local_bash","uuid":"97801afb-9aed-4fa3-8a1e-f57afbe2c691","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GVSBbsbhqJTqdQQihumhQS","type":"tool_result","content":"== dict(BN=64, WS=False, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=825.3us expert=379 ratio=0.459 TFLOPS=666\n== dict(BN=64, WS=False, STAGES=2, num_warps=4)\n(1, 256, 131072) ok=True  t=877.6us expert=379 ratio=0.432 TFLOPS=626","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"5f87aaf3-8621-4ee5-a39a-85cb4ad24010","timestamp":"2026-10-17T23:49:57.942Z","tool_use_result":{"stdout":"== dict(BN=64, WS=False, STAGES=2, num_warps=8)\n(1, 256, 131072) ok=True  t=825.3us expert=379 ratio=0.459 TFLOPS=666\n== dict(BN=64, WS=False, STAGES=2, num_warps=4)\n(1, 256, 131072) ok=True  t=877.6us expert=379 ratio=0.432 TFLOPS=626","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GVSBbsbhqJTqdQQihumhQS","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hsLB68pJeK1d5q2zWg","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The split v8 variant at 825us with 8 warps is slightly worse than v7's 797us, though the 4-warp case improved substantially over v5. Overall it's not a clear win, so I'm considering reducing TMEM acc rescale frequency by processing two KV blocks per softmax round instead.\n\nBN=128 with a single stage is too slow since loads become synchronous rather than prefetched, which I measured at 1474us. I'm now thinking about offloading the sum reduction onto the MMA itself by appending a ones-column to V so that P·V produces row sums directly in an extra column, avoiding one of the two cross-warp reductions per iteration.\n\nWith 4 warps instead of 8, each thread could own a full row and eliminate cross-warp reductions entirely, but that blows up register usage for the accumulator rescale to 256 per thread, causing spills — the split version with 4 warps hits 877us. I'm weighing whether a different warp split reduces rescale register pressure back down to something more manageable.\n\nTo isolate the cost, I want to run a quick timing experiment on v7: strip out the accumulator rescale entirely (ignoring correctness) just to measure how much time it's actually costing in the pipeline, so I know whether to focus optimization there.\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":2298,"cache_read_input_tokens":177693,"cache_creation":{"ephemeral_5m_input_tokens":2298,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"554bb258-2f9d-4206-82ba-ea45f2470756","timestamp":"2026-10-17T23:50:12.325Z","request_id":"req_011Cg8hsKp22H28iYjAFsLbz","thinking_duration_ms":12445,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8hsLB68pJeK1d5q2zWg","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01EA6APyqJV7mDrC8au1QCX2","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v7.py').read()\na = src.replace(\"\"\"                acc = acc * alpha[:, None]\n                acc = tl.dot(p_prev, v, acc)\"\"\", \"\"\"                acc = tl.dot(p_prev, v, acc)\"\"\")\nassert a != src\nopen('v7_norescale.py', 'w').write(a)\nb = src.replace(\"\"\"                m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n                alpha = tl.math.exp2(m_i - m_new)\n                pr = tl.math.exp2(s * qk_scale - m_new[:, None])\n                l_i = l_i * alpha + tl.sum(pr, 1)\n                p_prev = pr.to(tl.bfloat16)\n                m_i = m_new\"\"\", \"\"\"                p_prev = s.to(tl.bfloat16)\"\"\")\nassert b != src\nopen('v7_nosoftmax.py', 'w').write(b)\nEOF\nfor f in v7_norescale.py v7_nosoftmax.py; do echo \"== $f\"; timeout 600 python bench.py $f \"dict(BN=64, WS=False, STAGES=2, num_warps=8)\" --one --nocheck 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio=\" | head -3; done","description":"Time v7 without rescale and without softmax"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2298,"cache_read_input_tokens":177693,"cache_creation":{"ephemeral_5m_input_tokens":2298,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"737788a6-c316-4d88-aca7-eb870f7fbe2e","timestamp":"2026-10-17T23:50:14.025Z","request_id":"req_011Cg8hsKp22H28iYjAFsLbz"}
{"type":"system","subtype":"task_started","task_id":"bnbt4f1d6","run_id":"0mvd1ubip-bb1996ae","tool_use_id":"toolu_01EA6APyqJV7mDrC8au1QCX2","description":"Time v7 without rescale and without softmax","is_backgrounded":false,"task_type":"local_bash","uuid":"44302e92-9d78-497b-b92f-dba70ac2851f","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01EA6APyqJV7mDrC8au1QCX2","type":"tool_result","content":"== v7_norescale.py\n(1, 256, 131072) ok=None {} t=721.1us expert=379 ratio=0.526 TFLOPS=762\n== v7_nosoftmax.py\n(1, 256, 131072) ok=None {} t=722.9us expert=379 ratio=0.524 TFLOPS=760","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"052edebd-f840-4da4-9eb6-ee3fc6288eef","timestamp":"2026-10-17T23:50:27.738Z","tool_use_result":{"stdout":"== v7_norescale.py\n(1, 256, 131072) ok=None {} t=721.1us expert=379 ratio=0.526 TFLOPS=762\n== v7_nosoftmax.py\n(1, 256, 131072) ok=None {} t=722.9us expert=379 ratio=0.524 TFLOPS=760","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01EA6APyqJV7mDrC8au1QCX2","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":2828,"estimated_tokens_delta":1367,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b61ad59f-db08-4da9-a5a4-01d220853838"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8huXiw3x4qvioQ7ePvv","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Without the rescale it's 721us, and without softmax it's 723us, so each costs roughly 75us while the base MMA/loads/pipeline cost sits near 650us. That lines up with the earlier hot-load test showing memory alone costs about 180us, so I'm narrowing in on what the true baseline pipeline cost should be.\n\n650us over 443 iterations works out to about 2980 clocks per iteration for the MMA+load+sync, while MMA alone should only need about 1262 clocks (750 for QK plus 512 for PV), so there's a lot of overhead to explain. I'm tracing through the TTGIR loop's dependency chain on the tensor pipe -- QK and PV issuance depend on prior stores and waits -- to figure out where the gap between issuing QK_{j+1}, running PV_j, and waiting on softmax and stores is eating extra cycles per iteration.\n\nMy rough estimate of 1500 clocks per iteration still leaves a 1500-clock gap against the measured ~2980-3240, so I suspect my MMA timing estimate itself is off. I'm recomputing the QK MMA cost by breaking down the instruction count, smem bandwidth for loading A and B tiles, and the SM's bf16 MAC throughput to see if the real per-instruction cost is higher than I assumed.\n\nChecking the TMEM accumulator confirms that path is fine, and Q/K layouts in shared memory look correct with no unnecessary transposes needed. So the timing discrepancy must lie elsewhere — maybe the GPU is thermally or power throttling under heavy tensor load, dropping clocks below the ~1.9 GHz I assumed.\n\nGiven limited remaining time, I'm weighing whether to pursue deeper restructuring or focus on tuning and robustness, since the current ~0.46 speedup ratio still yields a poor reward. I'm considering adjusting num_warps (8 vs 16) and how that changes the thread distribution and reduction pattern across the 128×64 score tile.\n\nOther options I'm ruling out: BN=128 with 2 pipeline stages blows the shared memory budget, and the BN=32 rotated configuration already proved slower than BN=64 in earlier tests. I'm also checking whether splitting the key load into two 64-row halves could help, but that hits the same smem capacity wall.\n\nI'm also considering whether V could reuse the same smem buffer as K after the QK matmul finishes, but Triton doesn't support that kind of buffer aliasing. Trying two independent M-tiles per CTA would double TMEM accumulator usage and exceed limits, and PV cost is essentially fixed, so I'm now looking at whether L2 access patterns on the loads offer any room for improvement.\n\nNow I'm tracing how the four CTAs covering the same KV head but different M-blocks actually hit KV positions at mismatched times under stream-K scheduling, since their tile ordering means they're offset from each other in global block position rather than synchronized.\n\nThat explains why the grid approach with S=4 keeps CTAs for same-split m-blocks in lockstep at the same KV position, giving better L2 locality — likely why v5 grid performs comparably to v7 stream-K despite having fewer CTAs. I'm now considering whether a better stream-K ordering could interleave m-block tiles within the same head, but that risks forcing a CTA to switch Q tiles every iteration, which defeats the purpose.\n\nTrying another angle: group the 4 m-block CTAs of a head as a single unit and divide KV work evenly across these groups — with 37 groups of 4 CTAs totaling 148, each group would handle roughly 442.8 (bh, j) units out of 16384 total, though this doesn't split evenly.\n\nBut I realize this only works cleanly when n_mblk divides 148: for n_mblk=4 it gives 37 groups exactly, but for n_mblk=8 it leaves 148/8=18.5, meaning 18 groups of 8 CTAs use only 144 and waste 4 (about 2.7% idle). I need a more general rule for choosing group size and number of groups.\n\nI'm also considering the causal diagonal — different m-blocks have different KV lengths, so within a group some CTAs finish early near the end of a head's range, but that imbalance should be small. The real question though is whether L2 locality from this lockstep grouping actually explains the measured speedups, like the v5 grid result I tested earlier.\n\nComparing numbers: v7 stream-K at 148 misaligned CTAs runs ~13% slower per iteration than v5's grid, which lines up with the hypothesis that misalignment is causing extra L2 misses. That suggests the group scheme could hit ~700us if implemented, so I'll work out v9's grid layout — mapping each CTA to a group and m-block index, then iterating over KV blocks per head.\n\nStill writing the partitioning logic...\n\nFor the combine step, I need to figure out which groups actually contributed work for each (bh, mb) tile versus which are empty intersections, so the combine only reads valid partials — computing g_first and g_last from the intersection of the group's block range with the tile's active block window.\n\nThen for the main kernel, I'm writing the loop that walks through segments by head, computing per-segment start/end block offsets so each CTA knows exactly which block range it's responsible for writing.\n\nThe j-ranges across different mb values in a group stay identical except for clipping at nb_mb, confirming lockstep works. Now I'll move on to writing v9, including the Q load handling per segment.\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":1792,"cache_read_input_tokens":179991,"cache_creation":{"ephemeral_5m_input_tokens":1792,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"14b1ef95-9ed1-48fe-8722-fd6b6e7b95ef","timestamp":"2026-10-17T23:51:19.492Z","request_id":"req_011Cg8huXGdqmyuF4HyxtXMe","thinking_duration_ms":49930,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8huXiw3x4qvioQ7ePvv","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found that the persistent split's 148 CTAs read the same K/V blocks at very different times, hurting L2 hits compared to the simple grid's lockstep pattern (~13% faster). I'll regroup the work so CTAs walk the same KV range in lockstep, aiming for ~700 µs.\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":1792,"cache_read_input_tokens":179991,"cache_creation":{"ephemeral_5m_input_tokens":1792,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"75d59e1d-9121-4ade-91e9-4f84b137c887","timestamp":"2026-10-17T23:51:19.496Z","request_id":"req_011Cg8huXGdqmyuF4HyxtXMe","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8huXiw3x4qvioQ7ePvv","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Ha8NsPTEqYVPkejypnYiKR","name":"Bash","input":{"command":"cd /workspace/dev; cat > v9.py << 'EOF'\nimport torch\nimport triton\nimport triton.language as tl\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ntriton.set_allocator(_alloc)\n\nNEG = tl.constexpr(-1.0e30)\n\n\n@triton.jit\ndef _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, NBH, total, NG, qk_scale,\n               HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n               G: tl.constexpr, STAGES: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    c = tl.program_id(0)\n    grp = c // n_mblk\n    mb = c - grp * n_mblk\n    lo = (grp.to(tl.int64) * total // NG).to(tl.int32)\n    hi = ((grp + 1).to(tl.int64) * total // NG).to(tl.int32)\n    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    k_desc = tl.make_tensor_descriptor(K, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[B * Sk, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    rows = tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    j_full_t = (shift + mb * BMQ + 1) // BN\n    p = lo\n    while p < hi:\n        bh = p // NBH\n        seg_end = tl.minimum(hi, (bh + 1) * NBH)\n        j0 = p - bh * NBH\n        j1 = tl.minimum(seg_end - bh * NBH, nbm)\n        if j0 < j1:\n            b = bh // HKV\n            hk = bh - b * HKV\n            q_ptr = Q + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n            q = tl.load(q_ptr, mask=(qpos < Sq)[:, None], other=0.0)\n            m_i = tl.full((BM,), NEG, tl.float32)\n            l_i = tl.zeros((BM,), tl.float32)\n            acc = tl.zeros((BM, D), tl.float32)\n            kv_row0 = b * Sk\n            j_full = tl.minimum(tl.maximum(j_full_t, j0), j1)\n            if j0 < j_full:\n                k = k_desc.load([kv_row0 + j0 * BN, hk * D])\n                s = tl.dot(q, k.T)\n                m_i = tl.max(s, 1) * qk_scale\n                pr = tl.math.exp2(s * qk_scale - m_i[:, None])\n                l_i = tl.sum(pr, 1)\n                p_prev = pr.to(tl.bfloat16)\n                alpha = tl.full((BM,), 1.0, tl.float32)\n                for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\n                    k = k_desc.load([kv_row0 + j * BN, hk * D])\n                    s = tl.dot(q, k.T)\n                    v = v_desc.load([kv_row0 + (j - 1) * BN, hk * D])\n                    acc = acc * alpha[:, None]\n                    acc = tl.dot(p_prev, v, acc)\n                    m_new = tl.maximum(m_i, tl.max(s, 1) * qk_scale)\n                    alpha = tl.math.exp2(m_i - m_new)\n                    pr = tl.math.exp2(s * qk_scale - m_new[:, None])\n                    l_i = l_i * alpha + tl.sum(pr, 1)\n                    p_prev = pr.to(tl.bfloat16)\n                    m_i = m_new\n                v = v_desc.load([kv_row0 + (j_full - 1) * BN, hk * D])\n                acc = acc * alpha[:, None]\n                acc = tl.dot(p_prev, v, acc)\n            for j in tl.range(j_full, j1, num_stages=1):\n                k = k_desc.load([kv_row0 + j * BN, hk * D])\n                s = tl.dot(q, k.T) * qk_scale\n                cols = j * BN + rn\n                ok = cols[None, :] <= (shift + qpos)[:, None]\n                s = tl.where(ok, s, float('-inf'))\n                m_new = tl.maximum(m_i, tl.max(s, 1))\n                pr = tl.math.exp2(s - m_new[:, None])\n                alpha = tl.math.exp2(m_i - m_new)\n                l_i = l_i * alpha + tl.sum(pr, 1)\n                acc = acc * alpha[:, None]\n                v = v_desc.load([kv_row0 + j * BN, hk * D])\n                acc = tl.dot(pr.to(tl.bfloat16), v, acc)\n                m_i = m_new\n            slot = (grp + bh) * n_mblk + mb\n            o_ptr = Op + (slot.to(tl.int64) * BM + rows)[:, None] * D + rd[None, :]\n            tl.store(o_ptr, acc)\n            tl.store(Mp + slot * BM + rows, m_i)\n            tl.store(Lp + slot * BM + rows, l_i)\n        p = seg_end\n\n\n@triton.jit\ndef _combine(Op, Mp, Lp, Out, Sq, Sk, shift, n_mblk, NBH, total, NG,\n             HQ: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr,\n             G: tl.constexpr, RB: tl.constexpr):\n    BMQ: tl.constexpr = BM // G\n    t = tl.program_id(0)\n    rb = tl.program_id(1)\n    bh = t // n_mblk\n    mb = t - bh * n_mblk\n    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    start = bh.to(tl.int64) * NBH\n    end = start + nbm\n    g_first = ((start + 1) * NG + total - 1) // total - 1\n    g_last = (end * NG + total - 1) // total - 1\n    rows = rb * RB + tl.arange(0, RB)\n    rd = tl.arange(0, D)\n    m_max = tl.full((RB,), NEG, tl.float32)\n    for gg in range(g_first, g_last + 1):\n        slot = (gg + bh) * n_mblk + mb\n        m_max = tl.maximum(m_max, tl.load(Mp + slot * BM + rows))\n    l_tot = tl.zeros((RB,), tl.float32)\n    acc = tl.zeros((RB, D), tl.float32)\n    for gg in range(g_first, g_last + 1):\n        slot = (gg + bh) * n_mblk + mb\n        w = tl.math.exp2(tl.load(Mp + slot * BM + rows) - m_max)\n        l_tot += w * tl.load(Lp + slot * BM + rows)\n        o = tl.load(Op + (slot * BM + rows).to(tl.int64)[:, None] * D + rd[None, :])\n        acc += o * w[:, None]\n    acc = acc / l_tot[:, None]\n    b = bh // HKV\n    hk = bh - b * HKV\n    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    o_ptr = Out + ((b * Sq + qpos).to(tl.int64) * HQ + hk * G + g)[:, None] * D + rd[None, :]\n    tl.store(o_ptr, acc.to(tl.bfloat16), mask=(qpos < Sq)[:, None])\n\n\ndef kernel_fn(q, k, v, out, BN=64, STAGES=2, num_warps=8, NSM=148):\n    B, Sq, HQ, D = q.shape\n    Sk, HKV = k.shape[1], k.shape[2]\n    G = HQ // HKV\n    BM = 128\n    BMQ = BM // G\n    shift = Sk - Sq\n    n_mblk = triton.cdiv(Sq, BMQ)\n    NBH = triton.cdiv(Sk, BN)\n    total = B * HKV * NBH\n    NG = max(1, min(NSM // n_mblk, total))\n    n_tiles = B * HKV * n_mblk\n    nslot = (NG + B * HKV) * n_mblk\n    Op = torch.empty((nslot, BM, D), device=q.device, dtype=torch.float32)\n    Mp = torch.empty((nslot, BM), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((nslot, BM), device=q.device, dtype=torch.float32)\n    qk_scale = (D ** -0.5) * 1.4426950408889634\n    _fwd_split[(NG * n_mblk,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, NBH, total, NG, qk_scale,\n                               HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, STAGES=STAGES, num_warps=num_warps,\n                               num_stages=STAGES)\n    RB = 16\n    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, Sk, shift, n_mblk, NBH, total, NG,\n                                  HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, RB=RB, num_warps=4)\nEOF\ntimeout 900 python bench.py v9.py \"dict()\" 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio\" | head -6","description":"Write v9 with lockstep grouped work assignment and benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1792,"cache_read_input_tokens":179991,"cache_creation":{"ephemeral_5m_input_tokens":1792,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b4d50d72-3c4a-4ebe-ba32-5ac3b6ce9413","timestamp":"2026-10-17T23:51:41.169Z","request_id":"req_011Cg8huXGdqmyuF4HyxtXMe"}
{"type":"system","subtype":"task_started","task_id":"basw9phgr","run_id":"0mvd1w6rn-06bb4b79","tool_use_id":"toolu_01Ha8NsPTEqYVPkejypnYiKR","description":"Write v9 with lockstep grouped work assignment and benchmark","is_backgrounded":false,"task_type":"local_bash","uuid":"1ee92f00-bc93-4ec9-9129-6484d02d4597","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"basw9phgr","run_id":"0mvd1w6rn-06bb4b79","tool_use_id":"toolu_01Ha8NsPTEqYVPkejypnYiKR","status":"completed","output_file":"","summary":"Write v9 with lockstep grouped work assignment and benchmark","uuid":"d84d3488-3922-4766-bfe0-4c8c5c1522bd","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Ha8NsPTEqYVPkejypnYiKR","type":"tool_result","content":"(1, 256, 131072) ok=True  t=706.5us expert=379 ratio=0.536 TFLOPS=778\n(1, 512, 65536) ok=True  t=712.7us expert=356 ratio=0.500 TFLOPS=771\n(1, 512, 131072) ok=True  t=1379.3us expert=692 ratio=0.502 TFLOPS=797\n(2, 256, 65536) ok=True  t=712.7us expert=381 ratio=0.535 TFLOPS=771\ngeomean ratio vs expert: 0.5177603151911059","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"462eb5b4-0fd2-41c3-8e48-cd357d356eef","timestamp":"2026-10-17T23:51:51.068Z","tool_use_result":{"stdout":"(1, 256, 131072) ok=True  t=706.5us expert=379 ratio=0.536 TFLOPS=778\n(1, 512, 65536) ok=True  t=712.7us expert=356 ratio=0.500 TFLOPS=771\n(1, 512, 131072) ok=True  t=1379.3us expert=692 ratio=0.502 TFLOPS=797\n(2, 256, 65536) ok=True  t=712.7us expert=381 ratio=0.535 TFLOPS=771\ngeomean ratio vs expert: 0.5177603151911059","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Ha8NsPTEqYVPkejypnYiKR","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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I'm considering replacing the sum reduction with an MMA-based accumulation of rowsum(P) into a TMEM accumulator, rescaled by alpha each iteration alongside the existing rescale pass.\n\nSince I can't easily append a ones-column to V in smem from Triton, I'd instead use a separate small dot product against a loop-invariant ones tile to compute the row sums via MMA, trading the cross-warp reduction for a tiny extra matmul. This also shifts the rowsum computation to use bf16-rounded P consistent with the numerator, which may actually be more numerically coherent than summing in fp32 directly.\n\nI'm also considering whether the max reduction's cross-warp step could be skipped by letting each warp use its own partial max, but that breaks consistency since P values from different warps would end up on different scales once summed in the PV matmul — so that's not viable. Splitting D across two CTAs with a cluster seems like overkill, and I'm now wondering whether Triton's automatic warp specialization could help with overlap instead.\n\nSince total FLOPs can't be reduced and exp2 polynomial tricks aren't the bottleneck, I'm zeroing in on the rescale cost — roughly 75us out of 706 — which comes from a full TMEM round trip of the accumulator every iteration. With BN=64 giving 2048 iterations per tile, I'm thinking about unrolling by 2: processing two blocks at once with a shared max, computing both S buffers via separate QK MMAs, and merging the rowmax across both before updating.\n\nChecking the shared memory budget for this unrolled approach, two sets of K/V buffers at 32KB each with a 2-stage pipeliner would exceed capacity once Q is included, so I'm considering single-stage pipelining with wider 128-row TMA loads for K and V instead to keep memory in bounds.\n\nThat approach still came out slow at 1474us. TMEM-resident P aliasing S isn't something I can control directly, so I'm trying reordering the loop so rescaling happens off the critical path, but since the rescale runs on CUDA cores which seem to be the real bottleneck, I'm working through the per-iteration clock cycle math to see where the 706us runtime is actually being spent across the 148 CTAs and their iteration counts.\n\nI'm breaking down roughly where the ~3240 clocks per iteration go: memory latency, softmax, rescale, and the base MMA plus sync overhead which dominates. I'm now questioning whether the tensor core work itself is slower than expected, considering how the K tile's smem layout and swizzle span might force Triton to split the load in a way that adds overhead.\n\nWith limited time left, I'm weighing which optimization gives the best payoff — testing rowsum via MMA seems moderate effort for uncertain gain, while reducing per-iteration fixed costs by reworking the block size looks more promising.\n\nOther options like running two CTAs per SM or shrinking the Q footprint for extra pipeline stages turn out to be dead ends due to doubling L2 traffic or infeasibility. I'm now considering whether scheduling heads so concurrently running groups touch fewer distinct KV ranges could keep more data hot in L2, since currently the 37 lockstep groups each cover roughly 443 blocks and read distinct KV ranges that could potentially be shared better across CTAs.\n\nWith uniform num_stages=3, buffer sizes for K, V, and Q together exceed the smem budget, so I need an uneven schedule. Since V_{j-1} is only needed one iteration behind, maybe I can get the pipeliner to issue that load earlier alongside K_{j-1}, effectively decoupling their stage counts.\n\nAnother idea is prefetching future KV blocks into L2 a few iterations ahead so the TMA loads hit cache instead of DRAM; Triton doesn't expose an explicit prefetch op through tl.load, but I could try emitting raw PTX prefetch instructions via inline_asm_elementwise, though that primitive expects elementwise tensor inputs/outputs rather than raw pointers, so passing a pointer through it is awkward.\n\nSince each KV block's rows aren't contiguous (strided by 4096B between rows), bulk prefetch would require issuing one prefetch per row rather than per block, meaning 128 separate 512B prefetches per block for K and V combined.\n\nI considered TMA tensor-map prefetch instructions as an elegant option since they handle whole boxes, but ruled it out because the tensor descriptor created in Triton is opaque and its address isn't accessible from inline assembly. So I'm falling back to simpler per-cache-line prefetch instructions, issuing one per 128B line, which works out to 256 lines per block.\n\nI'm computing that K and V together need 512 prefetch instructions per iteration across 256 threads, just 2 per thread, which is cheap. Each thread computes an address and issues a prefetch instruction via inline_asm_elementwise on a tensor of addresses, so I'm working out how to build that addressing and wrap it in the right PTX asm string.\n\nThe concern is whether this redundant prefetching across lockstep CTA groups actually hides DRAM latency — since the L2 can dedupe the redundant lines, the real question is whether the prefetch distance (maybe 4-8 blocks ahead) is large enough to matter.\n\nWriting prefetch index logic...\n\nBut I realize summing the dummy value would create a cross-warp reduction every iteration, which is bad — I need to avoid that and instead find a way to keep the prefetch result alive without touching performance.\n\nSince all 4 lockstep CTAs likely wait on the same cache line, they effectively share the DRAM latency hit, so prefetching just 2 iterations ahead should be enough given DRAM latency is roughly 1us. I'll implement v10 as v9 with this 2-3 block lookahead prefetch added to the main loop and test it.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011NqsjmUZuPpPmY8zTyPT1J","type":"tool_result","content":"18:               G: tl.constexpr, STAGES: tl.constexpr, PF: tl.constexpr):\n62:                    if PF > 0:\n63:                        jp = tl.minimum(j + PF, j_full - 1)\n139:def kernel_fn(q, k, v, out, BN=64, STAGES=2, num_warps=8, NSM=148, PF=2):\n157:                               HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, STAGES=STAGES, PF=PF, num_warps=num_warps,\n== dict(PF=2)\n(1, 256, 131072) ok=True  t=653.3us expert=379 ratio=0.580 TFLOPS=841\n== dict(PF=4)\n(1, 256, 131072) ok=True  t=655.1us expert=379 ratio=0.579 TFLOPS=839\n== dict(PF=8)\n(1, 256, 131072) ok=True  t=656.4us expert=379 ratio=0.577 TFLOPS=838","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"aa71fe4e-7a6a-4e12-a40f-53dbe9fcebd4","timestamp":"2026-10-17T23:54:37.271Z","tool_use_result":{"stdout":"18:               G: tl.constexpr, STAGES: tl.constexpr, PF: tl.constexpr):\n62:                    if PF > 0:\n63:                        jp = tl.minimum(j + PF, j_full - 1)\n139:def kernel_fn(q, k, v, out, BN=64, STAGES=2, num_warps=8, NSM=148, PF=2):\n157:                               HQ=HQ, HKV=HKV, D=D, BM=BM, BN=BN, G=G, STAGES=STAGES, PF=PF, num_warps=num_warps,\n== dict(PF=2)\n(1, 256, 131072) ok=True  t=653.3us expert=379 ratio=0.580 TFLOPS=841\n== dict(PF=4)\n(1, 256, 131072) ok=True  t=655.1us expert=379 ratio=0.579 TFLOPS=839\n== dict(PF=8)\n(1, 256, 131072) ok=True  t=656.4us expert=379 ratio=0.577 TFLOPS=838","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011NqsjmUZuPpPmY8zTyPT1J","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015A8eGSAQQgD63ihqnLu4rR","type":"tool_result","content":"139:def kernel_fn(q, k, v, out):\n140-    BN, STAGES, num_warps, NSM, PF = 64, 2, 8, 148, 2\n141-    B, Sq, HQ, D = q.shape\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 695.58 us, starting kernel 9414.59 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 709.47 us, starting kernel 5961.66 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1341.15 us, starting kernel 11979.20 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 695.55 us, starting kernel 6144.00 us\nautosave: kept this version in /workspace/.best/solution.py (9.733x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"122c9a63-9ca4-4e17-8e6f-644697665bec","timestamp":"2026-10-17T23:55:34.476Z","tool_use_result":{"stdout":"139:def kernel_fn(q, k, v, out):\n140-    BN, STAGES, num_warps, NSM, PF = 64, 2, 8, 148, 2\n141-    B, Sq, HQ, D = q.shape\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 695.58 us, starting kernel 9414.59 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 709.47 us, starting kernel 5961.66 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1341.15 us, starting kernel 11979.20 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 695.55 us, starting kernel 6144.00 us\nautosave: kept this version in /workspace/.best/solution.py (9.733x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015A8eGSAQQgD63ihqnLu4rR","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iJ934RgyTv8DzkrPw9","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I've saved about 9.73x so far with roughly 49 minutes left. I'm now looking at why the Sq=512 shapes with n_mblk=8 give a worse ratio (0.533) than n_mblk=4 shapes (0.58), considering whether it's the slightly higher CTA count or the increased number of diagonal blocks causing the discrepancy.\n\nRunning the per-CTA block math confirms the time ratio matches the work-per-CTA ratio closely, but the bigger factor seems to be the expert kernel itself running relatively faster on Sq=512 since its 2-CTA tiles are more efficient there. 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I'm now checking how different n_mblk values (for various hidden shapes) divide into CTA groups and whether they land close to full utilization.\n\nFor larger n_mblk values like 32, 64, or 100, the grouping leaves significant idle CTAs (13-48%), so I need a better scheme: cap the group size at some bound and split large n_mblk into sub-groups, skipping any sub-indices that exceed the actual block count.\n\nNow I'm working out how to pick the optimal group size GS as a divisor of n_mblk capped at 8, choosing whichever divisor maximizes total occupancy (148 divided by divisor, times divisor), with ties going to the larger divisor.\n\nI'm also noting another complication: causal attention creates workload imbalance across m-blocks, since early query blocks attend to far fewer key blocks than later ones, especially for long prefill sequences.\n\nFor the combine step, I need to rework the mapping from (batch-head, m-block) tiles to virtual heads and slot ranges so the grouping logic stays consistent with this change. 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effort.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iJ934RgyTv8DzkrPw9","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Saved progress, getting about 9.73x speedup and ~0.557x the expert's timing on cold-L2 checks, but noticed Sq=512 leaves 4 SMs idle and other shapes could idle even more. I'll now pick the group size per shape (a divisor of the tile count, up to 8) to keep nearly all 148 SMs busy.\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":756,"cache_read_input_tokens":200831,"cache_creation":{"ephemeral_5m_input_tokens":756,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"7116e9dd-ee85-4293-9ea2-34d834669547","timestamp":"2026-10-17T23:55:59.006Z","request_id":"req_011Cg8iJ8eW2S1GAHos195Hr","narration_block_indexes":[0],"thinking_duration_ms":4,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iJ934RgyTv8DzkrPw9","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_011XCExtDe2H3a7futZyzNry","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v10.py').read()\n# main kernel: virtual heads\nsrc = src.replace(\"\"\"def _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, NBH, total, NG, qk_scale,\"\"\",\n\"\"\"def _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG, qk_scale,\"\"\")\nsrc = src.replace(\"\"\"    grp = c // n_mblk\n    mb = c - grp * n_mblk\n    lo = (grp.to(tl.int64) * total // NG).to(tl.int32)\"\"\", \"\"\"    grp = c // GS\n    sub = c - grp * GS\n    lo = (grp.to(tl.int64) * total // NG).to(tl.int32)\"\"\")\nsrc = src.replace(\"\"\"    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    k_desc\"\"\", \"\"\"    k_desc\"\"\")\nsrc = src.replace(\"\"\"    qpos = mb * BMQ + rows % BMQ\n    g = rows // BMQ\n    j_full_t = (shift + mb * BMQ + 1) // BN\n    p = lo\n    while p < hi:\n        bh = p // NBH\n        seg_end = tl.minimum(hi, (bh + 1) * NBH)\n        j0 = p - bh * NBH\n        j1 = tl.minimum(seg_end - bh * NBH, nbm)\n        if j0 < j1:\n            b = bh // HKV\"\"\", \"\"\"    g = rows // BMQ\n    p = lo\n    while p < hi:\n        vh = p // NBH\n        seg_end = tl.minimum(hi, (vh + 1) * NBH)\n        bh = vh // n_mg\n        mb = (vh - bh * n_mg) * GS + sub\n        nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n        qpos = mb * BMQ + rows % BMQ\n        j_full_t = (shift + mb * BMQ + 1) // BN\n        j0 = p - vh * NBH\n        j1 = tl.minimum(seg_end - vh * NBH, nbm)\n        if j0 < j1:\n            b = bh // HKV\"\"\")\nsrc = src.replace(\"\"\"            slot = (grp + bh) * n_mblk + mb\n            o_ptr = Op\"\"\", \"\"\"            slot = (grp + vh) * GS + sub\n            o_ptr = Op\"\"\")\n# combine\nsrc = src.replace(\"\"\"def _combine(Op, Mp, Lp, Out, Sq, Sk, shift, n_mblk, NBH, total, NG,\"\"\", \"\"\"def _combine(Op, Mp, Lp, Out, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG,\"\"\")\nsrc = src.replace(\"\"\"    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    start = bh.to(tl.int64) * NBH\"\"\", \"\"\"    nbm = tl.cdiv(tl.minimum(Sk, shift + (mb + 1) * BMQ), BN)\n    vh = bh * n_mg + mb // GS\n    sub = mb % GS\n    start = vh.to(tl.int64) * NBH\"\"\")\nsrc = src.replace(\"\"\"        slot = (gg + bh) * n_mblk + mb\n        m_max\"\"\", \"\"\"        slot = (gg + vh) * GS + sub\n        m_max\"\"\")\nsrc = src.replace(\"\"\"        slot = (gg + bh) * n_mblk + mb\n        w = \"\"\", \"\"\"        slot = (gg + vh) * GS + sub\n        w = \"\"\")\n# host\nold_host = src[src.index(\"    NBH = triton.cdiv(Sk, BN)\"):src.index(\"    qk_scale = \")]\nnew_host = \"\"\"    NBH = triton.cdiv(Sk, BN)\n    GS = 1\n    for d in range(1, min(n_mblk, 8) + 1):\n        if n_mblk % d == 0 and (NSM // d) * d >= NSM - 4:\n            GS = d\n    n_mg = n_mblk // GS\n    total = B * HKV * n_mg * NBH\n    NG = max(1, min(NSM // GS, total))\n    n_tiles = B * HKV * n_mblk\n    nslot = (NG + B * HKV * n_mg) * GS\n    Op = torch.empty((nslot, BM, D), device=q.device, dtype=torch.float32)\n    Mp = torch.empty((nslot, BM), device=q.device, dtype=torch.float32)\n    Lp = torch.empty((nslot, BM), device=q.device, dtype=torch.float32)\n\"\"\"\nsrc = src.replace(old_host, new_host)\nsrc = src.replace(\"\"\"    _fwd_split[(NG * n_mblk,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, NBH, total, NG, qk_scale,\"\"\",\n\"\"\"    _fwd_split[(NG * GS,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG, qk_scale,\"\"\")\nsrc = src.replace(\"\"\"    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, Sk, shift, n_mblk, NBH, total, NG,\"\"\",\n\"\"\"    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG,\"\"\")\nopen('v11.py', 'w').write(src)\nEOF\ngrep -n \"n_mblk\\b\" v11.py | head -20; timeout 900 python bench.py v11.py \"dict()\" 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio\" | head -6","description":"Write v11 with adaptive group size, benchmark all shapes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":756,"cache_read_input_tokens":200831,"cache_creation":{"ephemeral_5m_input_tokens":756,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"cbe6b08e-4ec5-4f39-9e93-8cefe4beab4f","timestamp":"2026-10-17T23:56:10.701Z","request_id":"req_011Cg8iJ8eW2S1GAHos195Hr"}
{"type":"system","subtype":"task_started","task_id":"b7pivt44j","run_id":"0mvd21yqr-b97cb5fd","tool_use_id":"toolu_011XCExtDe2H3a7futZyzNry","description":"Write v11 with adaptive group size, benchmark all shapes","is_backgrounded":false,"task_type":"local_bash","uuid":"75ce869c-2ae5-4447-88c1-b58d8536adda","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"b7pivt44j","run_id":"0mvd21yqr-b97cb5fd","tool_use_id":"toolu_011XCExtDe2H3a7futZyzNry","status":"completed","output_file":"","summary":"Write v11 with adaptive group size, benchmark all shapes","uuid":"f03af35e-fb7b-4f7e-b6b4-3eee090e4f5d","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011XCExtDe2H3a7futZyzNry","type":"tool_result","content":"16:def _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG, qk_scale,\n105:def _combine(Op, Mp, Lp, Out, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG,\n111:    bh = t // n_mblk\n112:    mb = t - bh * n_mblk\n150:    n_mblk = triton.cdiv(Sq, BMQ)\n153:    for d in range(1, min(n_mblk, 8) + 1):\n154:        if n_mblk % d == 0 and (NSM // d) * d >= NSM - 4:\n156:    n_mg = n_mblk // GS\n159:    n_tiles = B * HKV * n_mblk\n165:    _fwd_split[(NG * GS,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG, qk_scale,\n169:    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG,\n(1, 256, 131072) ok=True  t=653.3us expert=379 ratio=0.580 TFLOPS=841\n(1, 512, 65536) ok=True  t=668.6us expert=356 ratio=0.532 TFLOPS=822\n(1, 512, 131072) ok=True  t=1297.4us expert=692 ratio=0.533 TFLOPS=847\n(2, 256, 65536) ok=True  t=651.2us expert=381 ratio=0.585 TFLOPS=844\ngeomean ratio vs expert: 0.5571807500940222","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"a48ce293-1567-4dc3-8ee3-f6e40988a5a3","timestamp":"2026-10-17T23:56:20.853Z","tool_use_result":{"stdout":"16:def _fwd_split(Q, K, V, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG, qk_scale,\n105:def _combine(Op, Mp, Lp, Out, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG,\n111:    bh = t // n_mblk\n112:    mb = t - bh * n_mblk\n150:    n_mblk = triton.cdiv(Sq, BMQ)\n153:    for d in range(1, min(n_mblk, 8) + 1):\n154:        if n_mblk % d == 0 and (NSM // d) * d >= NSM - 4:\n156:    n_mg = n_mblk // GS\n159:    n_tiles = B * HKV * n_mblk\n165:    _fwd_split[(NG * GS,)](q, k, v, Op, Mp, Lp, B, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG, qk_scale,\n169:    _combine[(n_tiles, BM // RB)](Op, Mp, Lp, out, Sq, Sk, shift, n_mblk, n_mg, GS, NBH, total, NG,\n(1, 256, 131072) ok=True  t=653.3us expert=379 ratio=0.580 TFLOPS=841\n(1, 512, 65536) ok=True  t=668.6us expert=356 ratio=0.532 TFLOPS=822\n(1, 512, 131072) ok=True  t=1297.4us expert=692 ratio=0.533 TFLOPS=847\n(2, 256, 65536) ok=True  t=651.2us expert=381 ratio=0.585 TFLOPS=844\ngeomean ratio vs expert: 0.5571807500940222","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011XCExtDe2H3a7futZyzNry","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iQUmsqNzQct7Tj3z72","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The combine step is negligible at 6.5us and the main kernel dominates at 641us, so I'm fine there. With about 43 minutes left, I'll save v11 with SLACK=3 after edge tests, then consider another optimization -- maybe the rowsum via MMA, cutting the masked loop cost, or adding prologue prefetching for the first blocks of a segment.\n\nI tried STAGES=3 with BN=32 before and it was worse, so that's out. Extending prefetch to cover the next segment's first blocks seems like a minor win at best. The 4x K/V L2 traffic from CTAs in lockstep isn't the bottleneck since L2 bandwidth is sitting around 6.7 TB/s. 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I'm now estimating prologue/epilogue overhead per segment from pipeline fill and Q/K load latency against the total iteration count.\n\nThe hot-load comparison showed memory overhead at roughly 184us (22%), and with lockstep plus prefetching we improved from 817 to 653 cycles — accounting for the CTA count difference, that's about 7.6% better than an equal comparison would suggest. At this point the remaining gains seem intrinsic to the loop structure, so I'm leaning toward spending remaining time on robustness for edge cases rather than further micro-optimization.\n\nWith prefetching into L2, TMA loads should mostly hit L2 too, unless prefetches are dropped as hints or arrive too late. I want to try a variant using evict_last priority for the prefetch, or switch to bulk prefetching entire 512-byte rows instead of individual cache lines, cutting 512 line prefetches down to 128 bulk prefetches per iteration — though that requires sm_90+ hardware.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iQUmsqNzQct7Tj3z72","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01ES4vQNFVaT2oMK6XzJpwEm","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v11.py').read()\nsrc = src.replace(\"\"\"    pf_r = tl.arange(0, BN * 4)\n    pf_row = pf_r // 4\n    pf_col = (pf_r % 4) * (D // 4)\"\"\", \"\"\"    pf_row = tl.arange(0, BN)\"\"\")\nsrc = src.replace(\"\"\"                        poff = ((kv_row0 + jp * BN + pf_row).to(tl.int64) * HKV + hk) * D + pf_col\n                        tl.inline_asm_elementwise(\"prefetch.global.L2 [$1];\\\\n\\\\tprefetch.global.L2 [$2];\\\\n\\\\tmov.u32 $0, 0;\", \"=r,l,l\", [K + poff, V + poff], dtype=tl.int32, is_pure=False, pack=1)\"\"\",\n\"\"\"                        poff = ((kv_row0 + jp * BN + pf_row).to(tl.int64) * HKV + hk) * D\n                        tl.inline_asm_elementwise(\"cp.async.bulk.prefetch.L2.global [$1], 512;\\\\n\\\\tcp.async.bulk.prefetch.L2.global [$2], 512;\\\\n\\\\tmov.u32 $0, 0;\", \"=r,l,l\", [K + poff, V + poff], dtype=tl.int32, is_pure=False, pack=1)\"\"\")\nassert 'cp.async.bulk.prefetch' in src\nopen('v12.py', 'w').write(src)\nEOF\nfor cfg in \"dict(PF=2)\" \"dict(PF=4)\"; do echo \"== $cfg\"; timeout 600 python bench.py v12.py \"$cfg\" --one 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio=\" | head -3; done","description":"Test bulk L2 prefetch variant (v12)"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2087,"cache_read_input_tokens":207539,"cache_creation":{"ephemeral_5m_input_tokens":2087,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"f415a770-2e43-4b6b-b0f3-33048647fbe3","timestamp":"2026-10-17T23:57:25.694Z","request_id":"req_011Cg8iQUQJpiSQSSwN7dkgr"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01ES4vQNFVaT2oMK6XzJpwEm","type":"tool_result","content":"== dict(PF=2)\n(1, 256, 131072) ok=True  t=1276.1us expert=379 ratio=0.297 TFLOPS=431\n== dict(PF=4)\n(1, 256, 131072) ok=True  t=1270.6us expert=379 ratio=0.298 TFLOPS=433","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"6b50530d-3ff3-4e16-a342-b337d1c71715","timestamp":"2026-10-17T23:57:41.477Z","tool_use_result":{"stdout":"== dict(PF=2)\n(1, 256, 131072) ok=True  t=1276.1us expert=379 ratio=0.297 TFLOPS=431\n== dict(PF=4)\n(1, 256, 131072) ok=True  t=1270.6us expert=379 ratio=0.298 TFLOPS=433","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01ES4vQNFVaT2oMK6XzJpwEm","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iTW66jE8NwMFRM2r1m","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The bulk prefetch with a 64-element tensor across 256 threads causes redundant replicated prefetches, making it much slower, so I should revert to v11's line prefetch approach. Now I'll run edge tests on v11 with SLACK=3, save it, and reassess with the remaining ~40 minutes.\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":2631,"cache_read_input_tokens":209626,"cache_creation":{"ephemeral_5m_input_tokens":2631,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b8f8afe6-e094-4a9b-80c8-9f6f2d231bc8","timestamp":"2026-10-17T23:57:45.970Z","request_id":"req_011Cg8iTVhmoCFb4ZG2XBjEA","thinking_duration_ms":2505,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iTW66jE8NwMFRM2r1m","type":"message","role":"assistant","content":[{"type":"text","text":"Bulk prefetch is much slower (1,276 µs), probably from redundant per-thread bulk ops, so I'll keep the per-line version. Edge-testing and saving v11."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2631,"cache_read_input_tokens":209626,"cache_creation":{"ephemeral_5m_input_tokens":2631,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8496e1d9-083f-4bef-831e-1a868754f86b","timestamp":"2026-10-17T23:57:45.971Z","request_id":"req_011Cg8iTVhmoCFb4ZG2XBjEA"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01LHrneq2PxiLdgRmVSujRfA","type":"tool_result","content":"ALL OK\n143:def kernel_fn(q, k, v, out):\n144-    BN, STAGES, num_warps, NSM, PF, SLACK = 64, 2, 8, 148, 2, 3\n145-    B, Sq, HQ, D = q.shape","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"b556bfad-f4b0-46b0-8915-9049d97e1d6d","timestamp":"2026-10-17T23:58:13.238Z","tool_use_result":{"stdout":"ALL OK\n143:def kernel_fn(q, k, v, out):\n144-    BN, STAGES, num_warps, NSM, PF, SLACK = 64, 2, 8, 148, 2, 3\n145-    B, Sq, HQ, D = q.shape","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01LHrneq2PxiLdgRmVSujRfA","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iWvnDynDwEWsie5NPL","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The check.py timings (~700) are consistent with before and solution.py v11 looks correct. I'm noticing these are slower than my own benchmark (653) likely because my bench flushes L2 with a memset before each run while check.py runs back-to-back without that flush, so cache state differs.\n\nThe discrepancy is probably due to GPU clock throttling under sustained load in check.py's tight loop versus my bench's idle gaps from the memset — the grader's L2 flush approach is closer to my own setup, so that's reassuring. With about 80 minutes used and 40 left, I want to quickly jot a brief project memory note before continuing to optimize, since it's cheap to do now.\n\nFor next steps, I'm ranking optimization candidates: computing rowsum via MMA to cut a cross-warp reduction, testing loop unrolling to see if the compiler can interleave iterations (though risky with the pipeliner), and folding qk_scale into Q ahead of the loop to save a multiply per element.\n\nOn closer inspection, pre-scaling Q introduces rounding error since the scale factor isn't a clean power of two, and for large magnitude values this could blow up the relative error in the exponent dramatically — way past tolerance, so that approach is out. Using a power-of-two scale instead doesn't help because the multiply-subtract is already a single fused instruction, so there's no actual gain there either.\n\nI'm moving on to trying the rowsum-via-MMA approach since restructuring the TMEM load layout isn't something I can control.\n\nIn the main loop, instead of computing l as a separate reduction, I'm accumulating it alongside the output by multiplying a small all-ones matrix into the dot product — this folds the rowsum into the same MMA call used for the output accumulator, applying the same alpha rescaling to keep it consistent, and only extracting the final column sum at the very end which is cheap. The prologue still needs its own rowsum of the initial block though.\n\nAfter extracting l_i from lacc, the masked loop can continue cleanly with it in registers. For the ones16 helper tensor, I'm checking that a 128x16 bf16 constant works as the dot operand, verifying tcgen05's N-dimension constraints are satisfied, and confirming the TMEM budget across acc, S, P, and lacc fits within limits, while also considering precision since lacc accumulates bf16 values multiplied by ones.\n\nThis all checks out, so I'm ready to move forward and implement v13.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iZaPESjtovscwawfNP","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"That result is worse, 722 versus 653 — the extra MMA and rescale cost more than it saves, so I'll revert. With time running low, I should jot down a quick memory note, then consider final tweaks like limiting prefetch to one CTA per group or trying a different stage count with the masked loop.\n\nThinking more about the accumulator rescale cost (~11% overhead), I wonder about a stale-max approach: using the max from a previous iteration as reference instead of updating every time, accepting some overflow risk only if the delta between blocks exceeds roughly 126 in exponent — which would need bounding to stay safe.\n\nBut clamping those extreme values changes the math and gives wrong results for adversarial inputs, like a block containing a huge outlier score, so that path is too risky given the described 80x outlier distribution.\n\nI'm concluding we're at a reasonable local optimum for this design given the time constraints, and now want to spend what's left writing memory notes and double-checking robustness for large batch/sequence configurations with int32 indexing.\n\nChecking index and offset types across the kernel — row/column indices stay comfortably within int32 range even at large batch and sequence sizes, while pointer offsets and TMA coordinates use int64 or are confirmed safe as int32, so overflow isn't a concern here.\n\nI should also test a few representative shapes (varying batch, query length, and key length) to sanity-check performance scaling against expected expert behavior, making sure none of them fall pathologically behind. Now let me write the memory file first.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iZaPESjtovscwawfNP","type":"message","role":"assistant","content":[{"type":"text","text":"The MMA row-sum is slower (722 µs vs 653 µs), so I'm reverting it. I'll save a short memory note, then check that likely hidden shapes don't hit a pathological case."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3137,"cache_read_input_tokens":213827,"cache_creation":{"ephemeral_5m_input_tokens":3137,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ddbfd0e4-e220-4f9c-a371-43d631e5b2cb","timestamp":"2026-10-17T23:59:21.168Z","request_id":"req_011Cg8iZa38vCyNjJXZiwXdP"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iZaPESjtovscwawfNP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Hdnyi2dT9gxy1M2m3o8NHW","name":"Write","input":{"file_path":"/logs/agent/sessions/projects/-workspace/memory/hd256-triton-attention-b300.md","content":"---\nname: hd256-triton-attention-b300\ndescription: Findings from optimizing causal GQA hd256 split-KV attention in plain Triton 3.7 on B300 (what worked, what failed)\nmetadata:\n  type: project\n---\n\nTask (2026-10-17): Triton kernel for causal GQA attention, D=256, 16q/8kv heads, chunked prefill (Sq 256-512, Sk 64K-128K) on B300 vs FA4 2-CTA expert (~1.5 PFLOPS).\n\nWhat worked (cumulative, cold-L2 us on Sq256/Sk128K): naive split-KV 900 -> rotated loop (issue QK_j before PV_{j-1}) 817 -> persistent stream-K 797 -> \"lockstep groups\" (CTAs of the same KV head's m-blocks walk the same KV range together, group size = divisor of n_mblk up to 8) 706 -> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653. Best config: BM=128 (64 queries x 2 GQA heads), BN=64, 8 warps, num_stages=2 (smem 197KB).\n\nWhat failed in Triton 3.7: warp_specialize=True (2-3x slower, HoistTMEMAlloc crash with 2 loops); conditional rescale via scf.if (compiler moves acc to registers, much slower); 0/1-trip inner loop rescale (slower); num_ctas=2 (PlanCTA crash); acc split in halves (no gain); BN=32 or BN=128 (worse); rowsum via ones-MMA (worse); bulk prefetch (much worse).\n\nWhy it stays below the expert: 1-CTA BM=128 needs ~2x the L2->SM bytes of the expert's 2-CTA kernel, and TMEM/smem limits (Q 64KB + 2x64KB stages) cap prefetch depth.\n**How to apply:** for similar hd256 Triton tasks start from the lockstep+prefetch+rotated design; don't spend time on WS/conditional-rescale/2-CTA in plain Triton.\n"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3137,"cache_read_input_tokens":213827,"cache_creation":{"ephemeral_5m_input_tokens":3137,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"c6b8b97f-113b-4fc8-acc6-db6ae3ec119d","timestamp":"2026-10-17T23:59:27.457Z","request_id":"req_011Cg8iZa38vCyNjJXZiwXdP"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Hdnyi2dT9gxy1M2m3o8NHW","type":"tool_result","content":"File created successfully at: /logs/agent/sessions/projects/-workspace/memory/hd256-triton-attention-b300.md"}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"747a2a9b-5270-4fdb-93f2-4717619ffef7","timestamp":"2026-10-17T23:59:27.486Z","tool_use_result":{"type":"create","filePath":"/logs/agent/sessions/projects/-workspace/memory/hd256-triton-attention-b300.md","content":"---\nname: hd256-triton-attention-b300\ndescription: \"Findings from optimizing causal GQA hd256 split-KV attention in plain Triton 3.7 on B300 (what worked, what failed)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: c7cf056c-dddb-4c76-8921-23ea9eb00097\n  modified: 2026-10-17T23:59:27.467Z\n---\n\nTask (2026-10-17): Triton kernel for causal GQA attention, D=256, 16q/8kv heads, chunked prefill (Sq 256-512, Sk 64K-128K) on B300 vs FA4 2-CTA expert (~1.5 PFLOPS).\n\nWhat worked (cumulative, cold-L2 us on Sq256/Sk128K): naive split-KV 900 -> rotated loop (issue QK_j before PV_{j-1}) 817 -> persistent stream-K 797 -> \"lockstep groups\" (CTAs of the same KV head's m-blocks walk the same KV range together, group size = divisor of n_mblk up to 8) 706 -> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653. Best config: BM=128 (64 queries x 2 GQA heads), BN=64, 8 warps, num_stages=2 (smem 197KB).\n\nWhat failed in Triton 3.7: warp_specialize=True (2-3x slower, HoistTMEMAlloc crash with 2 loops); conditional rescale via scf.if (compiler moves acc to registers, much slower); 0/1-trip inner loop rescale (slower); num_ctas=2 (PlanCTA crash); acc split in halves (no gain); BN=32 or BN=128 (worse); rowsum via ones-MMA (worse); bulk prefetch (much worse).\n\nWhy it stays below the expert: 1-CTA BM=128 needs ~2x the L2->SM bytes of the expert's 2-CTA kernel, and TMEM/smem limits (Q 64KB + 2x64KB stages) cap prefetch depth.\n**How to apply:** for similar hd256 Triton tasks start from the lockstep+prefetch+rotated design; don't spend time on WS/conditional-rescale/2-CTA in plain Triton.\n","structuredPatch":[],"originalFile":null,"userModified":false,"memdirStamped":true},"tool_result_meta":[{"id":"toolu_01Hdnyi2dT9gxy1M2m3o8NHW","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iZaPESjtovscwawfNP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01CvcYyXDwx1bKLoxRpEqgaX","name":"Bash","input":{"command":"echo \"- [hd256 Triton attention on B300](hd256-triton-attention-b300.md) — what worked/failed for split-KV hd256 causal GQA in plain Triton\" >> /logs/agent/sessions/projects/-workspace/memory/MEMORY.md; cd /workspace/dev; cat > hidden.py << 'EOF'\nimport sys, importlib.util, torch\nsys.path.insert(0, '/workspace'); sys.path.insert(0, '/workspace/dev')\nimport task as T\nfrom bench import bench\nspec = importlib.util.spec_from_file_location('m', sys.argv[1]); m = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nkw = eval(sys.argv[2]) if len(sys.argv) > 2 else {}\nfor shape in [dict(B=1, Sq=128, Sk=32768), dict(B=1, Sq=256, Sk=32768), dict(B=4, Sq=256, Sk=32768), dict(B=1, Sq=1024, Sk=65536),\n              dict(B=1, Sq=384, Sk=98304), dict(B=2, Sq=512, Sk=32768), dict(B=1, Sq=192, Sk=131072), dict(B=3, Sq=256, Sk=40000)]:\n    case = T.make_case(shape, 1, 'cuda')\n    fn = lambda q, k, v, o: m.kernel_fn(q, k, v, o, **kw)\n    t = bench(fn, case.args, n=10)\n    flops = 4 * shape['B'] * shape['Sq'] * shape['Sk'] * 16 * 256\n    print(shape, f\"{t:.1f}us TFLOPS={flops/t/1e6:.0f}\", flush=True)\nEOF\ntimeout 900 python hidden.py v11.py \"dict()\" 2>&1 | grep -v \"^  \" | tail -9","description":"Record memory index and benchmark plausible hidden shapes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3137,"cache_read_input_tokens":213827,"cache_creation":{"ephemeral_5m_input_tokens":3137,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e67ac108-fac2-4338-89aa-cd7d6bed6ba7","timestamp":"2026-10-17T23:59:32.444Z","request_id":"req_011Cg8iZa38vCyNjJXZiwXdP"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8icKSt8iUpVmA7Hmqn2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Most shapes hold steady around 800+ TFLOPS, but small ones lag—Sq=128/Sk=32K drops to 560 TFLOPS (123us) and Sq=256/Sk=32K to 196us, since fixed overheads like combine launches and segment prologues dominate at small scale. I'm working out the tile and block counts for the Sq=128 case to understand why.\n\nThe score is the geomean of log2 speedups, so small shapes with higher overhead drag it down a bit. With ~33 minutes left, there's no quick fix for the fixed per-call overhead on small shapes, so I'll accept it as is. Let me just double-check robustness of the loop logic for large shapes and tiny edge cases, which already passed, including the buffer allocation concern for very large B×Sk.\n\nI'm also confirming the Op buffer stays small enough even for large shapes, and that the caching allocator handles repeated calls efficiently after the first. With the remaining time, I'll try a low-risk micro-optimization—maybe adjusting the prefetch strategy or testing a different num_stages setting—and run a quick sweep of a few variants.\n\nGiven each benchmark takes under a minute to compile and run, I can squeeze in several more experiments: one with multi-buffer disallowed on the main loop, and another where only one CTA per group issues prefetches using a predicated PTX instruction based on the sub-index.\n\nActually, a cleaner approach occurs to me: distribute the prefetch work across all GS CTAs so each one handles only every GS-th row, using a predicate computed from row index modulo GS matching the sub-index. I want to try this variant next.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8icKSt8iUpVmA7Hmqn2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Hidden shapes mostly hit ~800–860 TFLOPS, except small shapes like Sq=128/Sk=32K (123 µs) where per-segment and combine overheads dominate. With ~30 minutes left, I'll try two low-risk tweaks: splitting prefetch lines across CTAs in a group instead of each CTA prefetching everything, and disabling accumulator multi-buffering.\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":3400,"cache_read_input_tokens":216964,"cache_creation":{"ephemeral_5m_input_tokens":3400,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ce63e368-8dd3-4fb1-9193-3f9de802f6af","timestamp":"2026-10-18T00:00:02.977Z","request_id":"req_011Cg8icK73gU1aWnzN29vXe","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8icKSt8iUpVmA7Hmqn2","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_014mEgzyec5c2Fc73La5WGRh","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v11.py').read()\na = src.replace(\"\"\"                        tl.inline_asm_elementwise(\"prefetch.global.L2 [$1];\\\\n\\\\tprefetch.global.L2 [$2];\\\\n\\\\tmov.u32 $0, 0;\", \"=r,l,l\", [K + poff, V + poff], dtype=tl.int32, is_pure=False, pack=1)\"\"\",\n\"\"\"                        pfsel = ((pf_r % GS) == sub).to(tl.int32)\n                        tl.inline_asm_elementwise(\"{\\\\n\\\\t.reg .pred pp;\\\\n\\\\tsetp.ne.s32 pp, $3, 0;\\\\n\\\\t@pp prefetch.global.L2 [$1];\\\\n\\\\t@pp prefetch.global.L2 [$2];\\\\n\\\\tmov.u32 $0, 0;\\\\n\\\\t}\", \"=r,l,l,r\", [K + poff, V + poff, pfsel], dtype=tl.int32, is_pure=False, pack=1)\"\"\")\nassert a != src\nopen('v14.py', 'w').write(a)\nb = src.replace(\"for j in tl.range(j0 + 1, j_full, num_stages=STAGES):\", \"for j in tl.range(j0 + 1, j_full, num_stages=STAGES, disallow_acc_multi_buffer=True):\")\nassert b != src\nopen('v15.py', 'w').write(b)\nEOF\nfor f in v14.py v15.py; do echo \"== $f\"; timeout 600 python bench.py $f \"dict()\" --one 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio=\" | head -3; done","description":"Test distributed prefetch (v14) and no acc multi-buffer (v15)"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3400,"cache_read_input_tokens":216964,"cache_creation":{"ephemeral_5m_input_tokens":3400,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"71b279cf-7fa8-4015-8440-3678abf2017f","timestamp":"2026-10-18T00:00:05.693Z","request_id":"req_011Cg8icK73gU1aWnzN29vXe"}
{"type":"system","subtype":"task_started","task_id":"bozgzkyyu","run_id":"0mvd2701y-25332bd4","tool_use_id":"toolu_014mEgzyec5c2Fc73La5WGRh","description":"Test distributed prefetch (v14) and no acc multi-buffer (v15)","is_backgrounded":false,"task_type":"local_bash","uuid":"e38acd8e-4bdc-4314-aead-1fbda86a86c5","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bozgzkyyu","run_id":"0mvd2701y-25332bd4","tool_use_id":"toolu_014mEgzyec5c2Fc73La5WGRh","status":"completed","output_file":"","summary":"Test distributed prefetch (v14) and no acc multi-buffer (v15)","uuid":"765ff8b0-f314-437c-83ee-62fb34becf29","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014mEgzyec5c2Fc73La5WGRh","type":"tool_result","content":"== v14.py\n(1, 256, 131072) ok=True  t=610.3us expert=379 ratio=0.621 TFLOPS=901\n== v15.py\n/workspace/dev/v15.py:67:134: error: 'tt.elementwise_inline_asm' op pipeliner doesn't know how to predicate this op.\nLLVM ERROR: Fatal pipeliner error\n/workspace/dev/v15.py:16:0: error: Failures have been detected while processing an MLIR pass pipeline","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"0d22aa13-110d-4e75-a47e-d4572fcb5e79","timestamp":"2026-10-18T00:00:19.663Z","tool_use_result":{"stdout":"== v14.py\n(1, 256, 131072) ok=True  t=610.3us expert=379 ratio=0.621 TFLOPS=901\n== v15.py\n/workspace/dev/v15.py:67:134: error: 'tt.elementwise_inline_asm' op pipeliner doesn't know how to predicate this op.\nLLVM ERROR: Fatal pipeliner error\n/workspace/dev/v15.py:16:0: error: Failures have been detected while processing an MLIR pass pipeline","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_014mEgzyec5c2Fc73La5WGRh","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GGTho3WXGPM5j8W6eZbrAJ","type":"tool_result","content":"144:def kernel_fn(q, k, v, out):\n145-    BN, STAGES, num_warps, PF, SLACK = 64, 2, 8, 2, 3\n146-    NSM = torch.cuda.get_device_properties(q.device).multi_processor_count\n147-    B, Sq, HQ, D = q.shape\n(True, 'ok')\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 660.45 us, starting kernel 9415.55 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 661.25 us, starting kernel 5959.23 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1239.52 us, starting kernel 11983.74 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 661.12 us, starting kernel 6143.94 us\nautosave: kept this version in /workspace/.best/solution.py (10.365x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"2396c26e-e09c-4207-9bba-039cc7cc5b04","timestamp":"2026-10-18T00:01:13.924Z","tool_use_result":{"stdout":"144:def kernel_fn(q, k, v, out):\n145-    BN, STAGES, num_warps, PF, SLACK = 64, 2, 8, 2, 3\n146-    NSM = torch.cuda.get_device_properties(q.device).multi_processor_count\n147-    B, Sq, HQ, D = q.shape\n(True, 'ok')\n{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 660.45 us, starting kernel 9415.55 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 661.25 us, starting kernel 5959.23 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1239.52 us, starting kernel 11983.74 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 661.12 us, starting kernel 6143.94 us\nautosave: kept this version in /workspace/.best/solution.py (10.365x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GGTho3WXGPM5j8W6eZbrAJ","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8im4GKxvqUSnwv8TBgY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Comparing prefetch factors, PF=1 performs worse at 722 while PF=2 and PF=4 are roughly tied around 610. I'll go with PF=4 since it offers equal performance with more latency tolerance for varying conditions, even though it might benefit less on short segments.\n\nBeyond that, I'm thinking about reducing per-iteration instruction overhead by precomputing base pointers for the prefetch addresses once per segment, then just adding a scalar offset each loop iteration instead of recomputing the full int64 multiply each time. This cuts the per-element integer ops roughly in half—a cheap win worth implementing.\n\nWith about 27 minutes left, I'll implement this version with PF=4 and test it, leaving room for maybe one more experiment before wrapping up.\n\n","signature":"CAQS/xEKEAgSGAI4AUIIdGhpbmtpbmcSDLeZ/Hw4VyP52l0wrBoMLT2QK4p+ZQpDl2OGIjDB6YRhpy3lXyRVpWhZ7kdj8gi2cO2IkBKWIghQQ/28/7sBtMJgjoMUcUA6HHMCZGcqnBHrsi4hYEr4pk5X04oGQ58FrsRiY0oxIpqF3bp2e9zBj+DKO70XftSGGwBMnSNWDM8j49Ny5z6KYrHOtt0DqJn7h4jF43QVCbgOpPRNciFjxv/mqT7rOg69Kjuikx5JETVV4r7Ya773TnqzYfoFqrfDK3zReKoL5atKtFLpHUa9SxpKs2+KGTKUMKYnnNDWtM6SC3D6cPNzqbb3RKVN/fhJO/eH+JIvKoCY1O1PAV5hxocREwcCPK05k2gVW8C9lsufPeEtT0jE6/yAEsyh3MXoEry0HHsEXY/Pg3bAia7Eqbzew3cH/er5KKWkJxAB939sW52iJ/MmQf2fyaWVonOr7sthSGFu/eeMMPYY0mYiCyj9RBoUcqpxHwCjnxId+WfOX9HpbiSgU/Jl/17cokq9IB2uUH8pyu4aGjfPyNBfEGRcJ3E8mSHgTEMDUdIG/FO+BSKer3rzOqdZjDnzz8W/7BVt/2OT2rVFT++RStuTFtt3l/I+Yfucy4gY1LbyGHmmsRRDX9ljXP0KWxD3vmRK4RzdOrT/esQ7PXpyQcsv8wOlpLGjcfO7YrpPhyX3Cwm7XEyJuadhTdY+329FrK9h3kfo4sYIieeJGSUSOuSDWdVb8VHYunKiAL1EpimvjhioWhhHmLYFaxKWf15KrDj5mYWyczhaBvFYe3x3eQ7YmgMizEflSYTS23xAprDnwvfed7U9mMa0d4+zUXKc+DKx/kMtP+KojYikf8O4yH57NO5nu0Fl+REtl87kU/9DibET6Gk8E2LcuE/e7viRzpkG6BOERrI5eDjbpAxoApywvMBgThawEsgclTKWGHYTtzkNpXqYYfP3N2alC8z1liNjP2jwyXMe0cVUW8JZ1BwWnlWBFiHlef4swaIrDm9NeRthL6GCSsMwmhoxegX5cHpsJ/dRHROrjLURxrHAwYYZBC0/MM+5FwUnWjq9jIdwM7ya585iXRNDJ2MzfIXgzfDvURex0IKEHHlf92SQfWNaI/6me+r5QzwdVysPKpX4zx24Xe4Z/sDwlNZ2M+BaOfZgSXFWjxZ9z2xPW4n/xLhGIz3SyhJbD5cyxj/EtPcAkW7o30hudg9xhO1pSzz0fGJe/v0GyFIy6mrqN2L66tWxNTvaOjTkIXot3rGEUTYeVd3ejF1KzRsH9K6o4fQl7KcStAdvdisBMy6r3KZugQQ1pLweteF8F5gdPOZfsidOlsL9YDVpnkpe6ERGIfhQSngMwEkVQfWDlkcq1FEWxmbyDW0tJZOB34RQ10QZMEq97A0qUSbBeMcz0cUStJ8dRLQhjp8cdZHPMCHG2yEDh0sQFEvrbo5wwDQ5MGa99ZIwZYkIFXA0+UjNDeJTB/NiT50t9QiJtlrlk6L4HLKuSeRIYursxAHKPCLGIVlDKuoQP65fchYAWUKOaP7y1gF0KEuxsuC/QG0XTIf5IT4gOWeV28wHLNQ+iHUtx/I518n8MBT+2+zFTrrO1ppIVJKczbslfmgj3n+J3D8cLd+6WP1tSxTlz3CQidB0bK+7lEa1AGRtIgpd7WdpoJdiRWnEfpcJEYejF4Wjr3Yy+2tmTxX95q8EfMRXGd/leJB0f73uVvkmVa0JWB6VuWgj2Obh+HkVr3wNC9poszQcinumU33EfYzpw+JE9HICM+LRGoUceHQCkRi6yncy6p4NlitLxFhl28XRsTSkZ4M5OpuUcFa5dfQ//oAQM94zEdYUTByZK+Vvtgy8pTLb5FZUhMXEUX9X6ktANmwTAAckl09kz+mblPklIAwviZqJ74jsDMQbNAOAn1e5apeKjyLzAgkSbsupq0r6fwiQU6KaGvuVtwZEDvyBjtJ9n7dWE7w7GCRjhnli5M+dewXm7jw+t67AfJuepZbRr6EhkTLewJFtIvEmiZX13lZCubsyQTGpScCCL4v5Hi5yZHjo0q22ZseS6SBiF806SFS3imSo/JnfHP8hkD6p4cwLA/y2XrbF6va7EsoN3/yOA8xllbfDoweuB2FyMb8GPn2OWUMlOlXSX58YCj9HYMIkZGAfqs1KqEDD1Ihdhkf0rXGc5Kl0O6RCX6UwXt1b9YsF/ZqZaGhwETlkD1pT7aPa6u8iq/2S45CFuohDYlHWNwZ2S12yiUmYyLAIo6DLsk+H0CLjneH65VUpg1DGJdQRkJy+Vv6kuMcZqN9WyILh/kc6u9Rc+JO3xcQhIzEh66J9vzYFA/Q+rlXUAwut2diLsQ1s5nBVMEzR2Au/SrwRQkJb+k5s+B1JHXEdvuEMgT9C7CCMp5UmP9BZTrn7XgqPfaN2k4c5CpbvTnHlcR+iJLigWng3wODoQvriaJiYmuDzXYJf/ZAn2Rj1BlhWbuA66geglEFsWQGePKR6Eap+Iwg8De/HM9RpiXgITejeTj+Ezb1MR6FpONumM2dgTNSKKdx174+5eK1KpOg5FxTc0SiasEGjM83bKAOyYQYjoehVtdGElcPcnC+IHcLSRTaj9DzsNAk9Xl17KLytVqKbbNwFH4LNAUvndXuYhFBK7/P4/pHamceUeyCL9wm22fIxtagMtYFX/loRmMdN/ZnXYTaKRUeRGNplT7ICMa0yBWEsYlPyCei8lzUplAq9Fz24BwGqaq31lAoXrhux6h1nri89K4TCNzLiWWB17MSQcrE+n58fp+AU6Kq/sup7eAojug+/NDxhX45ya7X4PAUreZs2k2ux/OGYvu11W53VsmJ+zbPZCoTmCnru07iT0UdrUtuCGa8GcHx73Hzw9nLGYvYclEyRnVX8NoSewRhng1/ST/f9LHtWAexIxzZT8w4v8mjK4rHZHiRnUdAku30Skd0xFeIi4Pytw0R1kwdVTAfbKs0lYrB6YOhfLMZo+DuqJpTh/V6+pEDl1Pru289lf9+9m5RiviKUhLdWdaqAd82QwwUII1YCLLu9McSdRcLIrC1jqWgQnxgB"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1186,"cache_read_input_tokens":224538,"cache_creation":{"ephemeral_5m_input_tokens":1186,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"72c586d1-0744-488e-8a01-295314e27ffe","timestamp":"2026-10-18T00:01:51.870Z","request_id":"req_011Cg8im3vUo8WhwKtiQK2G1","thinking_duration_ms":9628,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8im4GKxvqUSnwv8TBgY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"PF=1 performs noticeably worse (722 µs), while PF=4 ties PF=2, so I'll go with PF=4 for extra latency margin. Next I'll trim instructions further by computing prefetch pointer bases once per segment, reducing each iteration to a single 64-bit add.\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":1186,"cache_read_input_tokens":224538,"cache_creation":{"ephemeral_5m_input_tokens":1186,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"706bbbc8-3a72-45f8-9833-846e6bae27d9","timestamp":"2026-10-18T00:01:51.872Z","request_id":"req_011Cg8im3vUo8WhwKtiQK2G1","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8im4GKxvqUSnwv8TBgY","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_019dvfZbmsdG3ihCvAMCRJkw","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v14.py').read()\nsrc = src.replace(\"\"\"            kv_row0 = b * Sk\n            j_full = tl.minimum(tl.maximum(j_full_t, j0), j1)\"\"\", \"\"\"            kv_row0 = b * Sk\n            j_full = tl.minimum(tl.maximum(j_full_t, j0), j1)\n            pf_off = ((kv_row0 + pf_row).to(tl.int64) * HKV + hk) * D + pf_col\n            pf_k = K + pf_off\n            pf_v = V + pf_off\"\"\")\nsrc = src.replace(\"\"\"                        poff = ((kv_row0 + jp * BN + pf_row).to(tl.int64) * HKV + hk) * D + pf_col\n                        pfsel = ((pf_r % GS) == sub).to(tl.int32)\n                        tl.inline_asm_elementwise(\"{\\\\n\\\\t.reg .pred pp;\\\\n\\\\tsetp.ne.s32 pp, $3, 0;\\\\n\\\\t@pp prefetch.global.L2 [$1];\\\\n\\\\t@pp prefetch.global.L2 [$2];\\\\n\\\\tmov.u32 $0, 0;\\\\n\\\\t}\", \"=r,l,l,r\", [K + poff, V + poff, pfsel], dtype=tl.int32, is_pure=False, pack=1)\"\"\",\n\"\"\"                        pstep = (jp * BN).to(tl.int64) * (HKV * D)\n                        tl.inline_asm_elementwise(\"{\\\\n\\\\t.reg .pred pp;\\\\n\\\\tsetp.ne.s32 pp, $3, 0;\\\\n\\\\t@pp prefetch.global.L2 [$1];\\\\n\\\\t@pp prefetch.global.L2 [$2];\\\\n\\\\tmov.u32 $0, 0;\\\\n\\\\t}\", \"=r,l,l,r\", [pf_k + pstep, pf_v + pstep, pfsel], dtype=tl.int32, is_pure=False, pack=1)\"\"\")\nsrc = src.replace(\"\"\"    pf_col = (pf_r % 4) * (D // 4)\"\"\", \"\"\"    pf_col = (pf_r % 4) * (D // 4)\n    pfsel = ((pf_r % GS) == sub).to(tl.int32)\"\"\")\nsrc = src.replace(\"NSM=148, PF=2, SLACK=3):\", \"NSM=148, PF=4, SLACK=3):\")\nassert 'pf_k + pstep' in src and 'pfsel = ((pf_r % GS) == sub)' in src\nopen('v16.py', 'w').write(src)\nEOF\ngrep -n \"sub = \\|pfsel\\|pf_k\" v16.py | head; timeout 600 python bench.py v16.py \"dict()\" --one 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio=\" | head -3","description":"Write v16 with hoisted prefetch pointers and PF=4, test"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1186,"cache_read_input_tokens":224538,"cache_creation":{"ephemeral_5m_input_tokens":1186,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"11fd80a9-f145-4a84-9072-205b1bac8060","timestamp":"2026-10-18T00:01:56.051Z","request_id":"req_011Cg8im3vUo8WhwKtiQK2G1"}
{"type":"system","subtype":"task_started","task_id":"bk3mapsyc","run_id":"0mvd29d7q-12446705","tool_use_id":"toolu_019dvfZbmsdG3ihCvAMCRJkw","description":"Write v16 with hoisted prefetch pointers and PF=4, test","is_backgrounded":false,"task_type":"local_bash","uuid":"699897be-8605-4df0-9fb7-9ecc13cb883a","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bk3mapsyc","run_id":"0mvd29d7q-12446705","tool_use_id":"toolu_019dvfZbmsdG3ihCvAMCRJkw","status":"completed","output_file":"","summary":"Write v16 with hoisted prefetch pointers and PF=4, test","uuid":"b8d41eb5-3667-46b0-b8f3-fc1dbd897e60","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_019dvfZbmsdG3ihCvAMCRJkw","type":"tool_result","content":"24:    pfsel = ((pf_r % GS) == sub).to(tl.int32)\n26:    sub = c - grp * GS\n57:            pf_k = K + pf_off\n71:                        tl.inline_asm_elementwise(\"{\\n\\t.reg .pred pp;\\n\\tsetp.ne.s32 pp, $3, 0;\\n\\t@pp prefetch.global.L2 [$1];\\n\\t@pp prefetch.global.L2 [$2];\\n\\tmov.u32 $0, 0;\\n\\t}\", \"=r,l,l,r\", [pf_k + pstep, pf_v + pstep, pfsel], dtype=tl.int32, is_pure=False, pack=1)\n119:    sub = mb % GS\ntriton.compiler.errors.CompilationError: at 9:28:\nNameError('sub is not defined')","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"96195126-3de6-423d-ac58-bfd4609ba977","timestamp":"2026-10-18T00:02:01.818Z","tool_use_result":{"stdout":"24:    pfsel = ((pf_r % GS) == sub).to(tl.int32)\n26:    sub = c - grp * GS\n57:            pf_k = K + pf_off\n71:                        tl.inline_asm_elementwise(\"{\\n\\t.reg .pred pp;\\n\\tsetp.ne.s32 pp, $3, 0;\\n\\t@pp prefetch.global.L2 [$1];\\n\\t@pp prefetch.global.L2 [$2];\\n\\tmov.u32 $0, 0;\\n\\t}\", \"=r,l,l,r\", [pf_k + pstep, pf_v + pstep, pfsel], dtype=tl.int32, is_pure=False, pack=1)\n119:    sub = mb % GS\ntriton.compiler.errors.CompilationError: at 9:28:\nNameError('sub is not defined')","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_019dvfZbmsdG3ihCvAMCRJkw","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8inh9doMBkfv6AofT6V","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01R6wHjWyteMuhSE6MmZkpdv","name":"Bash","input":{"command":"cd /workspace/dev; python - << 'EOF'\nsrc = open('v16.py').read()\nsrc = src.replace(\"\"\"    pf_col = (pf_r % 4) * (D // 4)\n    pfsel = ((pf_r % GS) == sub).to(tl.int32)\"\"\", \"\"\"    pf_col = (pf_r % 4) * (D // 4)\"\"\")\nsrc = src.replace(\"\"\"    sub = c - grp * GS\n\"\"\", \"\"\"    sub = c - grp * GS\n    pfsel = ((pf_r % GS) == sub).to(tl.int32)\n\"\"\", 1)\nopen('v16.py', 'w').write(src)\nEOF\ntimeout 600 python bench.py v16.py \"dict()\" 2>&1 | grep -v \"^  \" | grep -i \"error\\|ratio\" | head -6","description":"Fix definition order in v16 and run full benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2164,"cache_read_input_tokens":225724,"cache_creation":{"ephemeral_5m_input_tokens":2164,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"8fe9dea4-b220-46a3-9908-2377e4555b9b","timestamp":"2026-10-18T00:02:05.978Z","request_id":"req_011Cg8ingmpJeB59WESewLb9"}
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{"type":"system","subtype":"task_notification","task_id":"brb1ezqxz","run_id":"0mvd29kvb-c22deaa7","tool_use_id":"toolu_01R6wHjWyteMuhSE6MmZkpdv","status":"completed","output_file":"","summary":"Fix definition order in v16 and run full benchmark","uuid":"63aae4b1-163c-49b3-a3a9-433ff97986d2","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01R6wHjWyteMuhSE6MmZkpdv","type":"tool_result","content":"(1, 256, 131072) ok=True  t=608.2us expert=379 ratio=0.623 TFLOPS=904\n(1, 512, 65536) ok=True  t=609.3us expert=356 ratio=0.584 TFLOPS=902\n(1, 512, 131072) ok=True  t=1174.5us expert=692 ratio=0.589 TFLOPS=936\n(2, 256, 65536) ok=True  t=612.4us expert=381 ratio=0.622 TFLOPS=898\ngeomean ratio vs expert: 0.6044232089825953","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ab99da8f-2a1b-48ea-9c92-deeca5fa8edb","timestamp":"2026-10-18T00:02:17.254Z","tool_use_result":{"stdout":"(1, 256, 131072) ok=True  t=608.2us expert=379 ratio=0.623 TFLOPS=904\n(1, 512, 65536) ok=True  t=609.3us expert=356 ratio=0.584 TFLOPS=902\n(1, 512, 131072) ok=True  t=1174.5us expert=692 ratio=0.589 TFLOPS=936\n(2, 256, 65536) ok=True  t=612.4us expert=381 ratio=0.622 TFLOPS=898\ngeomean ratio vs expert: 0.6044232089825953","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01R6wHjWyteMuhSE6MmZkpdv","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ioq88GrjY529nPCwvn","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"v16 comes in at a geomean of 0.6044 versus 0.6028 for v14, a small but consistent improvement across shapes. With about 23 minutes left, I'll run edge tests on v16 and save it if everything checks out.\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":594,"cache_read_input_tokens":227888,"cache_creation":{"ephemeral_5m_input_tokens":594,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"2f075bae-13c6-41ca-ae54-f66f7402915c","timestamp":"2026-10-18T00:02:22.087Z","request_id":"req_011Cg8iopmYx8cozZhDy945g","thinking_duration_ms":1756,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ioq88GrjY529nPCwvn","type":"message","role":"assistant","content":[{"type":"text","text":"v16 edges out v14 slightly and consistently across shapes (geomean 0.604x vs 0.603x). Edge tests, then save."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":594,"cache_read_input_tokens":227888,"cache_creation":{"ephemeral_5m_input_tokens":594,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"aa3d9c2d-a430-4d75-9ab7-8758ba259b50","timestamp":"2026-10-18T00:02:22.088Z","request_id":"req_011Cg8iopmYx8cozZhDy945g"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ioq88GrjY529nPCwvn","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01SVAGRBWg4dP2o5NyXTTaLr","name":"Bash","input":{"command":"cd /workspace/dev; timeout 900 python edge.py v16.py \"dict()\" 2>&1 | grep -v \"^  \" | tail -4 && cd /workspace && sed -e 's/def kernel_fn(q, k, v, out, BN=64, STAGES=2, num_warps=8, NSM=148, PF=4, SLACK=3):/def kernel_fn(q, k, v, out):\\n    BN, STAGES, num_warps, PF, SLACK = 64, 2, 8, 4, 3\\n    NSM = torch.cuda.get_device_properties(q.device).multi_processor_count/' dev/v16.py > /tmp/sol16.py && grep -n \"def kernel_fn\" -A 3 /tmp/sol16.py && python -c \"\nimport static_check\nprint(static_check.check(open('/tmp/sol16.py').read()))\"","description":"Edge-test v16 and prepare/static-check solution"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":594,"cache_read_input_tokens":227888,"cache_creation":{"ephemeral_5m_input_tokens":594,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"369332f7-333b-4878-a6b4-b6d6b70e3ad6","timestamp":"2026-10-18T00:02:23.938Z","request_id":"req_011Cg8iopmYx8cozZhDy945g"}
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{"type":"system","subtype":"task_notification","task_id":"bs26pqfj3","run_id":"0mvd29yqt-3cc8cb85","tool_use_id":"toolu_01SVAGRBWg4dP2o5NyXTTaLr","status":"completed","output_file":"","summary":"Edge-test v16 and prepare/static-check solution","uuid":"e6183a98-d182-442c-bd7f-37d1eb881a24","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01SVAGRBWg4dP2o5NyXTTaLr","type":"tool_result","content":"ALL OK\n147:def kernel_fn(q, k, v, out):\n148-    BN, STAGES, num_warps, PF, SLACK = 64, 2, 8, 4, 3\n149-    NSM = torch.cuda.get_device_properties(q.device).multi_processor_count\n150-    B, Sq, HQ, D = q.shape\n(True, 'ok')","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"9c0280c3-9b13-4fe5-89fd-daafef566569","timestamp":"2026-10-18T00:02:49.694Z","tool_use_result":{"stdout":"ALL OK\n147:def kernel_fn(q, k, v, out):\n148-    BN, STAGES, num_warps, PF, SLACK = 64, 2, 8, 4, 3\n149-    NSM = torch.cuda.get_device_properties(q.device).multi_processor_count\n150-    B, Sq, HQ, D = q.shape\n(True, 'ok')","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01SVAGRBWg4dP2o5NyXTTaLr","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8irDmiBjcjjHDrDSqRM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XdyRKgBfiVgxy7192i77JK","name":"Bash","input":{"command":"cp /tmp/sol16.py solution.py && timeout 900 python check.py 2>&1 | tail -5","description":"Save v16 as solution.py and run official check"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":725,"cache_read_input_tokens":228482,"cache_creation":{"ephemeral_5m_input_tokens":725,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"6847b61f-b86d-48cf-87f6-1040d4fc9597","timestamp":"2026-10-18T00:02:52.229Z","request_id":"req_011Cg8irDQtA6n9DBjoEiewc"}
{"type":"system","subtype":"task_started","task_id":"bcarqjg42","run_id":"0mvd2akke-98ec22b1","tool_use_id":"toolu_01XdyRKgBfiVgxy7192i77JK","description":"Save v16 as solution.py and run official check","is_backgrounded":false,"task_type":"local_bash","uuid":"a4e861d1-afd9-4481-9c3b-24c7819e8d57","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"system","subtype":"task_notification","task_id":"bcarqjg42","run_id":"0mvd2akke-98ec22b1","tool_use_id":"toolu_01XdyRKgBfiVgxy7192i77JK","status":"completed","output_file":"","summary":"Save v16 as solution.py and run official check","uuid":"fc6d506d-3f87-4497-9933-d53a857e9bbd","session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XdyRKgBfiVgxy7192i77JK","type":"tool_result","content":"{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 656.35 us, starting kernel 9409.95 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 658.08 us, starting kernel 5962.56 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1229.92 us, starting kernel 11979.30 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 660.67 us, starting kernel 6144.45 us\nautosave: kept this version in /workspace/.best/solution.py (10.415x the starting kernel on the public shapes)","is_error":false}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"ba51078c-0eb2-40a1-9d0a-86d400b7061f","timestamp":"2026-10-18T00:03:00.849Z","tool_use_result":{"stdout":"{'model': 'chunk of 256 tokens over a 128K context', 'B': 1, 'Sq': 256, 'Sk': 131072}: correct, 656.35 us, starting kernel 9409.95 us\n{'model': 'chunk of 512 tokens over a 64K context', 'B': 1, 'Sq': 512, 'Sk': 65536}: correct, 658.08 us, starting kernel 5962.56 us\n{'model': 'chunk of 512 tokens over a 128K context', 'B': 1, 'Sq': 512, 'Sk': 131072}: correct, 1229.92 us, starting kernel 11979.30 us\n{'model': 'two requests, chunk of 256 tokens over 64K contexts', 'B': 2, 'Sq': 256, 'Sk': 65536}: correct, 660.67 us, starting kernel 6144.45 us\nautosave: kept this version in /workspace/.best/solution.py (10.415x the starting kernel on the public shapes)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XdyRKgBfiVgxy7192i77JK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8is3WqtiAGiZANAnq9A","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"With a 10.42x speedup banked and limited time left, I'm weighing a few low-risk tweaks: adding prefetching in the prologue, masked loop, or next segment, or trimming issue pressure from the alpha exp2 computation. I'm also starting to consider whether the CUDA-core issue bandwidth is the real bottleneck.\n\nTallying it up, the rescale step dominates per-iteration instruction count — 128 FMULs plus tensor-memory loads/stores per thread, dwarfing the softmax arithmetic itself. I'm wondering if Blackwell's packed f32x2 multiply/FMA instructions could cut that cost in half, though I'm unsure whether Triton/LLVM 3.7 emits those automatically or if I'd need inline assembly with pack=2 to force it.\n\nI'm not sure mul.f32x2 is supported on this target, so with limited time left I should just test it quickly and fall back to the saved working solution if it fails or underperforms. I'm also reconsidering how the broadcast multiply (acc times alpha) would map onto paired elements in the inline asm scheme, since alpha is constant across each row pair.\n\nThis should halve the FMUL count per iteration, which could yield a modest gain if CUDA-core issue throughput is the bottleneck, maybe around 5%. Worth testing quickly.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8iv4krHxwiBSWF9TxV3","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01N81pKNiNwz5V37L4STqCpL","name":"Edit","input":{"replace_all":false,"file_path":"/logs/agent/sessions/projects/-workspace/memory/hd256-triton-attention-b300.md","old_string":"-> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653.","new_string":"-> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653 -> each CTA of a group prefetches only its 1/GS share of lines (predicated asm) 610 (redundant prefetch instructions were costly: the loop is CUDA-core issue bound). Prefetch distance 1 is bad (722), 2-4 equal. Final ~0.60x expert geomean."},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":830,"cache_read_input_tokens":231957,"cache_creation":{"ephemeral_5m_input_tokens":830,"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":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"fb1a36ee-43b4-43e5-8193-b63999a7d6af","timestamp":"2026-10-18T00:03:46.528Z","request_id":"req_011Cg8iv4Q1cqj6JfcKgpjdq"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01N81pKNiNwz5V37L4STqCpL","type":"tool_result","content":"The file /logs/agent/sessions/projects/-workspace/memory/hd256-triton-attention-b300.md has been updated successfully."}]},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"e420c510-ced6-4e9a-aed2-9afb0e1bb4c4","timestamp":"2026-10-18T00:03:46.551Z","tool_use_result":{"filePath":"/logs/agent/sessions/projects/-workspace/memory/hd256-triton-attention-b300.md","oldString":"-> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653.","newString":"-> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653 -> each CTA of a group prefetches only its 1/GS share of lines (predicated asm) 610 (redundant prefetch instructions were costly: the loop is CUDA-core issue bound). Prefetch distance 1 is bad (722), 2-4 equal. Final ~0.60x expert geomean.","originalFile":"---\nname: hd256-triton-attention-b300\ndescription: \"Findings from optimizing causal GQA hd256 split-KV attention in plain Triton 3.7 on B300 (what worked, what failed)\"\nmetadata:\n  node_type: memory\n  type: project\n  originSessionId: c7cf056c-dddb-4c76-8921-23ea9eb00097\n  modified: 2026-10-17T23:59:27.467Z\n---\n\nTask (2026-10-17): Triton kernel for causal GQA attention, D=256, 16q/8kv heads, chunked prefill (Sq 256-512, Sk 64K-128K) on B300 vs FA4 2-CTA expert (~1.5 PFLOPS).\n\nWhat worked (cumulative, cold-L2 us on Sq256/Sk128K): naive split-KV 900 -> rotated loop (issue QK_j before PV_{j-1}) 817 -> persistent stream-K 797 -> \"lockstep groups\" (CTAs of the same KV head's m-blocks walk the same KV range together, group size = divisor of n_mblk up to 8) 706 -> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653. Best config: BM=128 (64 queries x 2 GQA heads), BN=64, 8 warps, num_stages=2 (smem 197KB).\n\nWhat failed in Triton 3.7: warp_specialize=True (2-3x slower, HoistTMEMAlloc crash with 2 loops); conditional rescale via scf.if (compiler moves acc to registers, much slower); 0/1-trip inner loop rescale (slower); num_ctas=2 (PlanCTA crash); acc split in halves (no gain); BN=32 or BN=128 (worse); rowsum via ones-MMA (worse); bulk prefetch (much worse).\n\nWhy it stays below the expert: 1-CTA BM=128 needs ~2x the L2->SM bytes of the expert's 2-CTA kernel, and TMEM/smem limits (Q 64KB + 2x64KB stages) cap prefetch depth.\n**How to apply:** for similar hd256 Triton tasks start from the lockstep+prefetch+rotated design; don't spend time on WS/conditional-rescale/2-CTA in plain Triton.\n","structuredPatch":[{"oldStart":5,"oldLines":12,"newStart":5,"newLines":12,"lines":["   node_type: memory","   type: project","   originSessionId: c7cf056c-dddb-4c76-8921-23ea9eb00097","-  modified: 2026-10-17T23:59:27.467Z","+  modified: 2026-10-18T00:03:46.541Z"," ---"," "," Task (2026-10-17): Triton kernel for causal GQA attention, D=256, 16q/8kv heads, chunked prefill (Sq 256-512, Sk 64K-128K) on B300 vs FA4 2-CTA expert (~1.5 PFLOPS)."," ","-What worked (cumulative, cold-L2 us on Sq256/Sk128K): naive split-KV 900 -> rotated loop (issue QK_j before PV_{j-1}) 817 -> persistent stream-K 797 -> \"lockstep groups\" (CTAs of the same KV head's m-blocks walk the same KV range together, group size = divisor of n_mblk up to 8) 706 -> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653. Best config: BM=128 (64 queries x 2 GQA heads), BN=64, 8 warps, num_stages=2 (smem 197KB).","+What worked (cumulative, cold-L2 us on Sq256/Sk128K): naive split-KV 900 -> rotated loop (issue QK_j before PV_{j-1}) 817 -> persistent stream-K 797 -> \"lockstep groups\" (CTAs of the same KV head's m-blocks walk the same KV range together, group size = divisor of n_mblk up to 8) 706 -> L2 prefetch via tl.inline_asm_elementwise(\"prefetch.global.L2 [$1]\") 2 blocks ahead 653 -> each CTA of a group prefetches only its 1/GS share of lines (predicated asm) 610 (redundant prefetch instructions were costly: the loop is CUDA-core issue bound). Prefetch distance 1 is bad (722), 2-4 equal. Final ~0.60x expert geomean. Best config: BM=128 (64 queries x 2 GQA heads), BN=64, 8 warps, num_stages=2 (smem 197KB)."," "," What failed in Triton 3.7: warp_specialize=True (2-3x slower, HoistTMEMAlloc crash with 2 loops); conditional rescale via scf.if (compiler moves acc to registers, much slower); 0/1-trip inner loop rescale (slower); num_ctas=2 (PlanCTA crash); acc split in halves (no gain); BN=32 or BN=128 (worse); rowsum via ones-MMA (worse); bulk prefetch (much worse)."," "]}],"userModified":false,"replaceAll":false,"contentNotInModelContext":true},"tool_result_meta":[{"id":"toolu_01N81pKNiNwz5V37L4STqCpL","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg8ivQs5AoFp3empWgQT7","type":"message","role":"assistant","content":[{"type":"text","text":"`/workspace/solution.py` is correct and runs about 0.60x the expert's speed (geomean), so it will not meet the bar (1.00x). It is about 10.4x faster than the starting kernel.\n\nIt passes `check.py` on all four timed shapes. I also ran my own test of 12 edge shapes (tiny, non-power-of-two, Sq = Sk, B > 1) with 7 input types: outliers, very small, very large, mixed row scales, shifted mean and partly zero inputs. All passed.\n\n| Shape | Mine (L2 flushed) | Expert (task notes) | Speed vs expert |\n|---|---|---|---|\n| Sq256 / Sk128K | 608 µs | 379 µs | 0.62x |\n| Sq512 / Sk64K | 609 µs | 356 µs | 0.58x |\n| Sq512 / Sk128K | 1175 µs | 692 µs | 0.59x |\n| B2 / Sq256 / Sk64K | 612 µs | 381 µs | 0.62x |\n\n`check.py` runs back to back without flushing L2 and reads 656–1230 µs for the same shapes. The grader flushes L2, which is closer to my numbers.\n\n**Why it stays below the expert:** in plain Triton each 128-row tile has to load all of K/V by itself. The expert pairs two CTAs that share K/V, which halves those loads. I measured the cache-to-SM bandwidth at about 11 TB/s, so on the 128K shape my design can't go much below ~400 µs even in theory. Pairing CTAs isn't reachable here: `num_ctas=2` crashes the Triton compiler.\n\n**How the kernel works:**\n- **Split-KV:** each 128-row tile packs 64 query positions × the 2 query heads that share a KV head. The KV range is split across all 148 SMs, and a small combine kernel (about 1% of the time) merges the partial results.\n- **Loop order:** each iteration starts the next QK multiply before the previous PV multiply, so the tensor core and the softmax overlap.\n- **Lockstep groups:** the CTAs working on the same KV head walk the same KV range together, so most loads hit L2. This cut time by about 12%.\n- **L2 prefetch:** a software prefetch runs 4 blocks ahead, with each CTA in a group fetching only its share. This gave about 14% more.\n\n**Tried and dropped:** Triton's automatic warp specialization (2–3x slower), skipping the rescale when the max barely changes (the compiler then reloads the accumulator every iteration, which is slower), other block sizes and warp counts, splitting the accumulator in halves, computing row sums with a matrix multiply, bulk prefetch, and packed f32x2 multiplies.\n\nSmall hidden shapes are relatively weaker: Sq=128 / Sk=32K reaches about 560 TFLOPS, against about 850 for the larger shapes. Fixed per-call overhead dominates when there is little work."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":504,"cache_read_input_tokens":232787,"cache_creation":{"ephemeral_5m_input_tokens":504,"ephemeral_1h_input_tokens":0},"output_tokens":833,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"c7cf056c-dddb-4c76-8921-23ea9eb00097","uuid":"cc08d4a9-397a-4ebb-8c44-f2c37d690928","timestamp":"2026-10-18T00:03:57.927Z","request_id":"req_011Cg8ivQVzaC7dnonxCSygn"}
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