{"type":"system","subtype":"init","cwd":"/workspace","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","tools":["Task","Bash","CronCreate","CronDelete","CronList","Edit","EnterWorktree","ExitWorktree","ListAgents","NotebookEdit","Read","ReportFindings","ScheduleWakeup","SendMessage","Skill","TaskStop","ToolSearch","Workflow","Write"],"mcp_servers":[],"model":"claude-opus-5-5","permissionMode":"bypassPermissions","slash_commands":["deep-research","dataviz","update-config","verify","debug","code-review","simplify","batch","fewer-permission-prompts","doctor","loop","claude-api","workflow-authoring","run","run-skill-generator","plugin-authoring","agents","auto-mode-setup","autocompact","clear","color","compact","config","output-style","context","effort","fast","focus","heapdump","init","mcp","model","__remote-workflow","workflow-launch-exec","reload-plugins","reload-skills","rename","security-review","usage","insights","recap","goal","list-agents","team-onboarding"],"terminal_slash_commands":["doctor","color","focus","reload-plugins"],"apiKeySource":"ANTHROPIC_API_KEY","claude_code_version":"2.1.302","output_style":"default","agents":["claude","Explore","general-purpose","Plan","statusline-setup"],"skills":["deep-research","dataviz","update-config","verify","debug","code-review","simplify","batch","fewer-permission-prompts","doctor","loop","claude-api","workflow-authoring","run","run-skill-generator","plugin-authoring"],"plugins":[{"name":"cc-plugin-agents-md","path":"builtin","source":"cc-plugin-agents-md@builtin"},{"name":"cc-plugin-plugin-authoring","path":"builtin","source":"cc-plugin-plugin-authoring@builtin"}],"capabilities":["interrupt_receipt_v1","interrupt_cancel_queued_v1","interrupt_send_now_v1","msg_lifecycle_v1","request_marker_lists_v1","sdk_mcp_tools_list_changed","sdk_mcp_manifests","mcp_read_resource_v1","mcp_tool_ui_meta_v1","ui_surface_v1","mcp_call_result_not_for_model_v1"],"analytics_disabled":true,"product_feedback_disabled":false,"uuid":"161c9544-29d4-4085-aa16-c2b8b6df9521","memory_paths":{"auto":"/logs/agent/sessions/projects/-workspace/memory/"},"original_cwd":"/workspace","additional_directories":[],"fast_mode_state":"off","fast_mode_disabled_reason":"sdk_opt_in_required","per_turn_effort_active":true,"view_mode":"default"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":13,"estimated_tokens_delta":3,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e801c6f8-e08d-4144-bcad-19683f1fa337"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":14,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"9b93e712-2955-4bbd-bf15-eae691721c7a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":18,"estimated_tokens_delta":4,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"dab4656d-1588-40b1-b9cd-32c77778f7a7"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":4,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e68726b7-0e75-4b5b-ae7f-40c12f29ec5b"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":170,"estimated_tokens_delta":147,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ae87a2da-0f7c-4ac9-863f-c9c9b394548b"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9bserYVPDa6YQonJvNP","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I should start by exploring the workspace to get a sense of what I'm working with.\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":6859,"cache_read_input_tokens":12056,"cache_creation":{"ephemeral_5m_input_tokens":6859,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"4d322350-da16-413d-a2fe-c59bb906cd57","timestamp":"2026-10-18T11:11:59.289Z","request_id":"req_011Cg9bseTyaSsHdMZgvGa4T","thinking_duration_ms":1439,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9bserYVPDa6YQonJvNP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01CLUFTraJpk65WvS7AA8zrX","name":"Bash","input":{"command":"ls -la && cat task.py && cat starting_kernel.py && cat check.py && cat static_check.py","description":"List workspace and show task files"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6859,"cache_read_input_tokens":12056,"cache_creation":{"ephemeral_5m_input_tokens":6859,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"49a057b8-b3f5-4e23-b3cb-32d1ec6d137a","timestamp":"2026-10-18T11:11:59.292Z","request_id":"req_011Cg9bseTyaSsHdMZgvGa4T"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01CLUFTraJpk65WvS7AA8zrX","type":"tool_result","content":"<persisted-output>\nOutput too large (40.8KB). Full output saved to: /logs/agent/sessions/projects/-workspace/37478c68-e7d2-4bbc-909d-ce226771c695/tool-results/bwqn599ux.txt\n\nPreview (first 2KB):\ntotal 53\ndrwxr-xr-x 1 agent agent   130 Oct 18 11:07 .\ndrwxr-xr-x 1 root  root    220 Oct 18 11:11 ..\n-rw-r--r-- 1 agent agent  3034 Oct 18 11:07 check.py\n-rw-r--r-- 1 agent agent  4816 Oct 18 11:07 nodus_autosave.py\n-rw-r--r-- 1 agent agent  5666 Oct 18 11:07 starting_kernel.py\n-rw-r--r-- 1 agent agent 13355 Oct 18 11:07 static_check.py\n-rw-r--r-- 1 agent agent 19226 Oct 18 11:07 task.py\n-rw-r--r-- 1 agent agent  5143 Oct 18 11:07 task_api.py\n\"\"\"Public task definition for xpr_hd256_attn_bwd: 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 attention backward with head dim 256 (dq, dk, dv) on Blackwell, GQA, sliding windows and packed documents\n(expert PR task).\n\nSource: Dao-AILab/flash-attention PRs #2964, #2965 and #2966 \"[CuTe, SM100] Unify hd256 backward (1/5-3/5)\" (Johnson,\nmerged 2026-10-06, 10-15 and 10-16), which rebuilt FlashAttention-4's head-dim-256 training backward on Blackwell on\ntop of #2807, #2891 and #2952. Upstream main (965c921, the #2966 merge, 2026-10-16) has two public hd256 backwards: the\ndefault \"dedicated\" pair (a dQ kernel and a dKdV kernel that each recompute S and dP, 2-CTA, no sliding window) and\nthe opt-in general kernel FlashAttentionBackwardSm100 (one kernel, 64-row KV tile per CTA, 2-CTA, any window,\nFLASH_ATTENTION_HD256_GENERIC_BWD=1), which the authors measured at parity to 11% faster than the pair on most shapes\nand 22-29% slower on 2K GQA (B200). Open PR #2967 (head 90419de, 2026-10-18) packs a KV head's query heads into the\ngeneral kernel's Q tile, 1-11% faster than the pair on hd256 GQA per its author. The bar on each shape is the fastest\nof the three (vendored in kernel_lab/expert_pr/fa4_v2966 and fa4_v2967; the route per shape is in fa4_v2966/b300.py),\nat 1.0x its speed in the same run.\n\nShapes: training of head-dim-256 models per GPU: Gemma-3-style global and sliding-window-1024 local layers (16 query\n...\n</persisted-output>","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"31fec59d-a7ab-48d0-86c4-d78dbe3daf38","timestamp":"2026-10-18T11:11:59.378Z","tool_use_result":{"stdout":"total 53\ndrwxr-xr-x 1 agent agent   130 Oct 18 11:07 .\ndrwxr-xr-x 1 root  root    220 Oct 18 11:11 ..\n-rw-r--r-- 1 agent agent  3034 Oct 18 11:07 check.py\n-rw-r--r-- 1 agent agent  4816 Oct 18 11:07 nodus_autosave.py\n-rw-r--r-- 1 agent agent  5666 Oct 18 11:07 starting_kernel.py\n-rw-r--r-- 1 agent agent 13355 Oct 18 11:07 static_check.py\n-rw-r--r-- 1 agent agent 19226 Oct 18 11:07 task.py\n-rw-r--r-- 1 agent agent  5143 Oct 18 11:07 task_api.py\n\"\"\"Public task definition for xpr_hd256_attn_bwd: 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 attention backward with head dim 256 (dq, dk, dv) on Blackwell, GQA, sliding windows and packed documents\n(expert PR task).\n\nSource: Dao-AILab/flash-attention PRs #2964, #2965 and #2966 \"[CuTe, SM100] Unify hd256 backward (1/5-3/5)\" (Johnson,\nmerged 2026-10-06, 10-15 and 10-16), which rebuilt FlashAttention-4's head-dim-256 training backward on Blackwell on\ntop of #2807, #2891 and #2952. Upstream main (965c921, the #2966 merge, 2026-10-16) has two public hd256 backwards: the\ndefault \"dedicated\" pair (a dQ kernel and a dKdV kernel that each recompute S and dP, 2-CTA, no sliding window) and\nthe opt-in general kernel FlashAttentionBackwardSm100 (one kernel, 64-row KV tile per CTA, 2-CTA, any window,\nFLASH_ATTENTION_HD256_GENERIC_BWD=1), which the authors measured at parity to 11% faster than the pair on most shapes\nand 22-29% slower on 2K GQA (B200). Open PR #2967 (head 90419de, 2026-10-18) packs a KV head's query heads into the\ngeneral kernel's Q tile, 1-11% faster than the pair on hd256 GQA per its author. The bar on each shape is the fastest\nof the three (vendored in kernel_lab/expert_pr/fa4_v2966 and fa4_v2967; the route per shape is in fa4_v2966/b300.py),\nat 1.0x its speed in the same run.\n\nShapes: training of head-dim-256 models per GPU: Gemma-3-style global and sliding-window-1024 local layers (16 query\nand 8 KV heads, or 8 and 4), a Qwen3-Next-style full-attention layer (16 query heads, 2 KV heads) and packed\ndocuments of mixed lengths, 8K-16K tokens per step. o and lse come from an fp32 forward over the same inputs.\n\"\"\"\nfrom task_api import Case, Task\nAGENT_MINUTES = 120\nD = 256\nSCALE = D ** (-0.5)\nGAMMA = 2.0 ** (-17)\nOUTS = ((9, 'dq'), (10, 'dk'), (11, 'dv'))\n\ndef seq_lens(shape, g, device):\n    \"\"\"n sequences of length L, or with 'ragged' n of mean length L in [L/2, 3L/2], built in pairs (L + d, L - d) with\n    the first pair fixed at (3L/2, L/2), so the token count (n * L) and the longest sequence depend on the shape only;\n    'long' puts one extra sequence of that length first.\"\"\"\n    import torch\n    n, L = (shape['n'], shape['L'])\n    if shape.get('ragged'):\n        h = L // 2\n        d = torch.randint(-h, h + 1, (n // 2,), generator=g, device=device, dtype=torch.int64)\n        if n >= 2:\n            d[0] = h\n        lens = torch.stack([L + d, L - d], 1).reshape(-1)\n        if n % 2:\n            lens = torch.cat([lens, torch.full((1,), L, device=device, dtype=torch.int64)])\n    else:\n        lens = torch.full((n,), L, device=device, dtype=torch.int64)\n    if shape.get('long'):\n        lens = torch.cat([torch.tensor([shape['long']], device=device, dtype=torch.int64), lens])\n    return lens\n\ndef _visible(t0, t1, k0, k1, W, device):\n    \"\"\"[t1 - t0, k1 - k0] bool: key j is visible to query i of the same sequence when j <= i and, with a window W >= 0,\n    i - j <= W.\"\"\"\n    import torch\n    i = torch.arange(t0, t1, device=device).view(-1, 1)\n    j = torch.arange(k0, k1, device=device).view(1, -1)\n    m = j <= i\n    return m & (i - j <= W) if W >= 0 else m\n\ndef _chunks(cu, W, rows):\n    \"\"\"(t0, t1, k0) per query chunk of every sequence: keys k0 .. t1 - 1 hold every key a query of the chunk sees.\"\"\"\n    bounds = cu.tolist()\n    for s0, s1 in zip(bounds[:-1], bounds[1:]):\n        for t0 in range(s0, s1, rows):\n            t1 = min(s1, t0 + rows)\n            yield (t0, t1, s0 if W < 0 else max(s0, t0 - W))\n\ndef _rows(H, n_keys):\n    \"\"\"Query tokens per reference chunk: the [H, tokens, keys] fp32 intermediates stay at 64 MiB.\"\"\"\n    return max(16, 2 ** 24 // (H * max(1, n_keys)))\n\ndef _mm(eq, a, b):\n    \"\"\"einsum(eq, a, b) at fp32 accuracy for fp32 a and bf16-valued b, also when matmuls run in TF32: a splits into a\n    TF32-exact head (11 significant bits) and an exact fp32 tail, and every bf16 x head product is exact.\"\"\"\n    import torch\n    hi = (a.view(torch.int32) & -8192).view(torch.float32)\n    return torch.einsum(eq, hi, b) + torch.einsum(eq, a - hi, b)\n\ndef _tf32(fn, args):\n    \"\"\"Runs fn(args) with TF32 matmuls on CUDA (every product is split or exact, see _mm), restoring the setting.\"\"\"\n    import torch\n    prev = torch.get_float32_matmul_precision()\n    if args[0].is_cuda:\n        torch.set_float32_matmul_precision('high')\n    try:\n        return fn(args)\n    finally:\n        torch.set_float32_matmul_precision(prev)\n\ndef _forward(args):\n    \"\"\"The training forward in fp32: o = bf16(softmax(q k^T / 16) v) and lse = log(sum_j exp(q . k_j / 16)), written\n    into args[3] and args[5].\"\"\"\n    import torch\n    q, k, v, o, _, lse, cu, max_len, W = args[:9]\n    T, Hq, _ = q.shape\n    Hkv = k.shape[1]\n    G = Hq // Hkv\n    rows = _rows(Hq, max_len if W < 0 else min(max_len, W + 1))\n    for t0, t1, k0 in _chunks(cu, W, rows):\n        n = t1 - t0\n        qc = q[t0:t1].float().view(n, Hkv, G, D)\n        kc, vc = (k[k0:t1].float(), v[k0:t1].float())\n        s = torch.einsum('nhgd,mhd->hgnm', qc, kc) * SCALE\n        s = s.masked_fill(~_visible(t0, t1, k0, t1, W, q.device), float('-inf'))\n        L = torch.logsumexp(s, -1, keepdim=True)\n        O = _mm('hgnm,mhd->nhgd', torch.exp(s - L), vc)\n        o[t0:t1] = O.reshape(n, Hq, D).to(torch.bfloat16)\n        lse[:, t0:t1] = L.reshape(Hq, n)\n\ndef make_case(shape, seed, device, dist='normal'):\n    \"\"\"q, k, v and dO from the input distribution, generated as [tokens, heads * 256] so row-wise distributions act\n    per token; o and lse from the fp32 forward over the same inputs.\"\"\"\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    Hq, Hkv, W = (shape['Hq'], shape['Hkv'], shape['window'])\n    lens = seq_lens(shape, g, device)\n    T = int(lens.sum().item())\n    cu = torch.zeros((lens.numel() + 1,), device=device, dtype=torch.int32)\n    cu[1:] = torch.cumsum(lens, 0).to(torch.int32)\n    bf = torch.bfloat16\n    q = randn((T, Hq * D), g, device, dist).view(T, Hq, D).to(bf)\n    k = randn((T, Hkv * D), g, device, dist).view(T, Hkv, D).to(bf)\n    v = randn((T, Hkv * D), g, device, dist).view(T, Hkv, D).to(bf)\n    do = randn((T, Hq * D), g, device, dist).view(T, Hq, D).to(bf)\n    o = torch.empty((T, Hq, D), device=device, dtype=bf)\n    lse = torch.empty((Hq, T), device=device, dtype=torch.float32)\n    max_len = int(lens.max().item())\n    _tf32(_forward, [q, k, v, o, do, lse, cu, max_len, W])\n    dq = torch.empty((T, Hq, D), device=device, dtype=bf)\n    dk = torch.empty((T, Hkv, D), device=device, dtype=bf)\n    dv = torch.empty((T, Hkv, D), device=device, dtype=bf)\n    return Case(args=[q, k, v, o, do, lse, cu, max_len, W, dq, dk, dv], outputs=(9, 10, 11), shape=shape, dist=dist)\n\ndef _reference(args):\n    import torch\n    q, k, v, o, do, lse, cu, max_len, W = args[:9]\n    T, Hq, _ = q.shape\n    Hkv = k.shape[1]\n    G = Hq // Hkv\n    dev, f32 = (q.device, torch.float32)\n    DQ, TQ = (torch.empty((T, Hq, D), device=dev, dtype=f32), torch.empty((T, Hq, D), device=dev, dtype=f32))\n    DK, TK = (torch.zeros((T, Hkv, D), device=dev, dtype=f32), torch.zeros((T, Hkv, D), device=dev, dtype=f32))\n    DV, TV = (torch.zeros_like(DK), torch.zeros_like(DK))\n    kf, vf = (k.float(), v.float())\n    nk, nv = (kf.pow(2).sum(-1).sqrt(), vf.pow(2).sum(-1).sqrt())\n    rows = _rows(Hq, max_len if W < 0 else min(max_len, W + 1))\n    for t0, t1, k0 in _chunks(cu, W, rows):\n        n = t1 - t0\n        qc = q[t0:t1].float().view(n, Hkv, G, D)\n        kc, vc = (kf[k0:t1], vf[k0:t1])\n        dO = do[t0:t1].float().view(n, Hkv, G, D)\n        L = lse[:, t0:t1].view(Hkv, G, n, 1)\n        vis = _visible(t0, t1, k0, t1, W, dev)\n        s = torch.einsum('nhgd,mhd->hgnm', qc, kc)\n        P = torch.exp(s * SCALE - L).masked_fill_(~vis, 0.0)\n        dP = torch.einsum('nhgd,mhd->hgnm', dO, vc)\n        Od = o[t0:t1].double().view(n, Hkv, G, D)\n        delta = (Od * dO.double()).sum(-1).permute(1, 2, 0).unsqueeze(-1)\n        dmd = dP.sub_(delta.float())\n        dS = P * dmd\n        DQ[t0:t1] = (SCALE * _mm('hgnm,mhd->nhgd', dS, kc)).reshape(n, Hq, D)\n        DK[k0:t1] += SCALE * _mm('hgnm,nhgd->mhd', dS, qc)\n        DV[k0:t1] += _mm('hgnm,nhgd->mhd', P, dO)\n        nq = qc.pow(2).sum(-1).sqrt().permute(1, 2, 0).unsqueeze(-1)\n        ndo = dO.pow(2).sum(-1).sqrt().permute(1, 2, 0).unsqueeze(-1)\n        d1 = (Od.abs() * dO.double().abs()).sum(-1).permute(1, 2, 0).unsqueeze(-1).float()\n        kmax = nk[k0:t1].max(0).values.view(Hkv, 1, 1, 1)\n        vmax = nv[k0:t1].max(0).values.view(Hkv, 1, 1, 1)\n        e = (2 * GAMMA + 2.0 ** (-20)) * SCALE * nq * kmax + 2.0 ** (-20) * L.abs() + 2.0 ** (-21)\n        eta = torch.expm1(e)\n        a = 2.0 ** (-7) + eta\n        b = (1 + eta) * (2 * GAMMA) * (ndo * vmax + d1)\n        A = dS.abs_().mul_(a).add_(b * P)\n        TQ[t0:t1] = (SCALE * torch.einsum('hgnm,mhd->nhgd', A, kc.abs())).reshape(n, Hq, D)\n        TK[k0:t1] += SCALE * torch.einsum('hgnm,nhgd->mhd', A, qc.abs())\n        TV[k0:t1] += torch.einsum('hgnm,nhgd->mhd', P.mul_(a), dO.abs())\n    exact = {'dq': DQ, 'dk': DK, 'dv': DV}\n    tol = {'dq': TQ, 'dk': TK, 'dv': TV}\n    res = {}\n    for i, nm in OUTS:\n        x = exact[nm]\n        res[i] = x.to(torch.bfloat16)\n        res[nm] = x\n        res['tol_' + nm] = tol[nm] * (1 + 2.0 ** (-8)) + 2.0 ** (-7) * x.abs() + 2.0 ** (-100)\n    return res\n\ndef reference(args):\n    \"\"\"The contract in fp32 from the bf16 inputs (every product exact or split to fp32 accuracy, delta in float64), in\n    chunks of query tokens per sequence: P from the given lse, dS = P (dP - delta) with delta = sum(dO * o), dq per\n    token, dk and dv summed over every query (and query head of the KV head's group) that sees the key. Returns the\n    outputs in bf16 (int keys) and, for the check, the exact values in fp32 plus per-element tolerances 'tol_<name>'.\"\"\"\n    return _tf32(_reference, args)\n\ndef check(got, exp):\n    \"\"\"Per element, every output must lie within its tolerance of the exact value: |got - exact| <= tol. The tolerance\n    follows the error a correct kernel can make, term by term, summed over the (query, key) pairs that feed the element:\n    - logits: e = (2 GAMMA + 2^-20) |q| max|k| / 16 + 2^-20 |lse| + 2^-21, with GAMMA = 2^-17 for an fp32 dot product\n      of exact bf16 products (blocked or tensor-core sums reach about 2^-21), the score, lse and scale roundings and an\n      approximate exp2 (max|k| over the keys of the reference's query chunk); P may be off by expm1(e) of itself;\n    - dP - delta: eps = 2 GAMMA (|dO| max|v| + sum |dO o|), an fp32 dot product and an fp32 delta;\n    - per pair, A = |dS| (2^-7 + expm1(e)) + P (1 + expm1(e)) eps: dS rounded once to bf16 (2^-8, the rest headroom\n      for fp32 sums over up to 16K keys) and the P error;\n    - dq: sum over keys of A |k| / 16; dk: the sum over (query, query head of the group) of A |q| / 16; dv: the same sum\n      of P (2^-7 + expm1(e)) |dO| (P rounded once to bf16 for the dV product); each output also gets 2^-7 of its value\n      for the final bf16 rounding.\n    Non-finite values fail. The bounds take delta from the given o (bf16): that is the contract (delta = sum(dO * o)),\n    as every FlashAttention backward computes it. The FlashAttention-4 numerics (P recomputed in fp32 with exp2, bf16 P\n    for dV, dS formed in fp32 and rounded once to bf16, fp32 dq/dk/dv sums, bf16 outputs), modeled on CPU in\n    tests/test_hd256_attn_bwd.py, use under half of any tolerance on every loop and holdout distribution. A window off\n    by one key, a key of the wrong KV head, keys of another packed sequence, delta left out of dS, dP rounded to bf16\n    before subtracting delta or a missing softmax scale on dk fails.\"\"\"\n    import torch\n    stats = {}\n    ok = True\n    for i, nm in OUTS:\n        g, e, tol = (got[i], exp[nm], exp['tol_' + nm])\n        if tuple(g.shape) != tuple(e.shape):\n            return (False, {'error': f'{nm}: shape {tuple(g.shape)} != {tuple(e.shape)}'})\n        if g.dtype != exp[i].dtype:\n            return (False, {'error': f'{nm}: dtype {g.dtype} is not {exp[i].dtype}'})\n        gf = g.float()\n        finite = torch.isfinite(gf)\n        diff = torch.where(finite, (gf - e).abs(), torch.full_like(gf, float('inf')))\n        bad = int((diff > tol).sum().item())\n        fin = torch.where(finite, diff, torch.zeros_like(diff))\n        over = fin / (tol + 1e-30)\n        stats[nm] = {'bad': bad, 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if g.numel() else 0.0, 'max_over_tol': float(over.max().item()) if g.numel() else 0.0}\n        ok = ok and bad == 0\n    return (ok, stats)\n\ndef _bytes(s):\n    \"\"\"Lower bound: q, o, dO and dq (query heads), k, v, dk and dv (KV heads) moved once in bf16, lse read once.\"\"\"\n    T = s['n'] * s['L'] + s.get('long', 0)\n    return T * D * 2 * 4 * (s['Hq'] + s['Hkv']) + T * s['Hq'] * 4\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's hd256 backward, on each shape the fastest public route (expert_pr/fa4_v2966/b300.py\n    ROUTE): the dedicated pair or the general kernel at upstream 965c921 (the #2966 merge, expert_pr/fa4_v2966), or the\n    general kernel with GQA head packing at open PR #2967's head (expert_pr/fa4_v2967); called dense for batches of\n    equal-length sequences and varlen otherwise, writing dq, dk and dv into the output buffers.\"\"\"\n    from kernel_lab.expert_pr.fa4_v2966 import b300, utils as utils_2966\n    from kernel_lab.expert_pr.fa4_v2967 import utils as utils_2967\n    from kernel_lab.expert_pr.fa4_v2966.interface import _flash_attn_bwd as bwd_2966\n    from kernel_lab.expert_pr.fa4_v2967.interface import _flash_attn_bwd as bwd_2967\n\n    def run(q, k, v, o, do, lse, cu, max_len, W, dq, dk, dv):\n        T, Hq, _ = q.shape\n        n = cu.shape[0] - 1\n        kernel, mode = b300.route(T, Hq, k.shape[1], n, max_len, W)\n        if kernel == 'packed':\n            bwd = bwd_2967\n            utils_2967.HD256_GENERIC_BWD = utils_2967.BWD_PACK_GQA = True\n        else:\n            bwd = bwd_2966\n            utils_2966.HD256_GENERIC_BWD = kernel == 'generic'\n        win = {} if W < 0 else {'window_size_left': W, 'window_size_right': 0}\n        if mode == 'dense':\n            S = T // n\n            x4 = [t.view(n, S, t.shape[1], D) for t in (q, k, v, o, do, dq, dk, dv)]\n            bwd(*x4[:5], lse.view(Hq, n, S).transpose(0, 1), softmax_scale=SCALE, causal=True, dq=x4[5], dk=x4[6], dv=x4[7], **win)\n        else:\n            bwd(q, k, v, o, do, lse, softmax_scale=SCALE, causal=True, cu_seqlens_q=cu, cu_seqlens_k=cu, max_seqlen_q=max_len, max_seqlen_k=max_len, dq=dq, dk=dk, dv=dv, **win)\n    return run\nTASK = Task(name='xpr_hd256_attn_bwd', title='Causal attention backward (dq, dk, dv), head dim 256, GQA, sliding windows and packed documents, 8K-16K tokens (bar: FlashAttention-4 after PR #2966, with open PR #2967, October 2026)', models='Training of head-dim-256 models on Blackwell, per GPU: Gemma-3-style global layers and sliding-window-1024 local layers (16 query / 8 KV heads, or 8 / 4), Qwen3-Next-style full-attention layers (16 query heads, 2 KV heads) and packed batches of documents of mixed lengths, 8K-16K tokens per step.', semantics=\"q is [T, Hq, 256] bf16, k and v are [T, Hkv, 256] bf16 (Hq a multiple of Hkv; query head h uses KV head h // (Hq / Hkv)): the tokens of all sequences packed back to back. o is [T, Hq, 256] bf16, the forward output rounded to bf16; do is [T, Hq, 256] bf16, the gradient of the output; lse is [Hq, T] float32, the forward log-sum-exp (natural log, scale included). cu_seqlens is [n + 1] int32 with cu_seqlens[0] = 0 and sequence s occupying tokens cu_seqlens[s] .. cu_seqlens[s + 1] - 1; max_seqlen is the longest sequence (a python int); window is a python int, -1 or W >= 0. All tensors contiguous. Query i of a sequence sees key j of the same sequence when j <= i and, if window >= 0, i - j <= window. For each query i, head h and visible key j: score = q[i,h] . k[j,h'] / 16, P = exp(score - lse[h,i]), dP = do[i,h] . v[j,h'], delta = sum over the 256 columns of do[i,h] * o[i,h], dS = P (dP - delta). Write dq[i,h] = sum_j dS k[j,h'] / 16, dk[j,h'] = sum over every (i, h) that sees j with h // (Hq / Hkv) = h' of dS q[i,h] / 16, and dv[j,h'] = the same sum of P do[i,h], fp32 (or better) math rounded to bf16, into dq [T, Hq, 256], dk and dv [T, Hkv, 256] (contiguous). dq, dk and dv arrive filled with NaN like every output. P and dS may each be rounded once to bf16 as tensor-core operands; scores, P, dP, delta and dS are otherwise fp32 or better from the given values (no extra rounding of the scores or dP); summation order is free.\", signature='def kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv) -> None  # writes dq, dk, dv', shapes=[{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}, {'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}, {'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}, {'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}, {'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}, {'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=_bytes, notes=\"Per visible (query, key) pair and query head, 5 x 256 multiply-adds: recompute the score (q . k), dP (dO . v), and the three products dV += P dO, dQ += dS k and dK += dS q, about 1.4 TFLOP for a causal 8K sequence with 16 query heads. Compute bound; skip key blocks the causal mask or the window hides entirely, and the tiles of other packed sequences. Head dim 256 doubles the register, shared-memory and tensor-memory footprint of each tile compared with 128: one 128 x 256 bf16 tile is 64 KiB, and fp32 dK and dV for 128 keys fill a whole SM's 512 tensor-memory columns. With GQA every key gets dK and dV contributions from all Hq / Hkv query heads of its group; summing them inside one program avoids fp32 atomics over heads. The expert runs, per shape, two kernels (dQ, then dK and dV, each recomputing S and dP) or one kernel with a 64-row KV tile and fp32 dQ partial sums, with or without the group's query heads packed into one tile; none is best on every shape. delta = rowsum(dO * o) needs only o and dO. Expert times on B300 (us, cold L2): 1x8K 1518, window 1024 510, 2x4K with 2 KV heads 980, 8 packed documents 1124-1206 (by lengths), 4x2K 302, packed 16K window 1024 520 (the pair before the series, which has no window: 1774, -, 1118, 1336, 356, -). The bar is 1.0x the expert speed (geometric mean over the timed and hidden shapes, each hidden shape at least 0.8x).\", weight=0.5, gpus=('B300',))\n# Starting kernel: correct and deliberately simple. A preprocess writes delta = rowsum(dO * o) and each token's\n# sequence bounds; one program per (16 query tokens, query head) walks every key its rows can see in 16-key steps and\n# accumulates dq; one program per (16 keys, KV head) walks every query head of its group and every query row that can\n# see its keys and accumulates dk and dv. P is recomputed from lse with tl.dot; tiny tiles, no pipelining, S and dP\n# computed twice: much slower than the expert kernels.\nimport torch\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, CU, START, END, T, H, D: tl.constexpr, BT: tl.constexpr):\n    s = tl.program_id(0)\n    h = tl.program_id(1)\n    st = tl.load(CU + s)\n    en = tl.load(CU + s + 1)\n    rd = tl.arange(0, D)\n    for t0 in range(st, en, BT):\n        rt = t0 + tl.arange(0, BT)\n        m = rt < en\n        row = (rt.to(tl.int64) * H + h) * D\n        o = tl.load(O + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n        do = tl.load(DO + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n        tl.store(DELTA + h.to(tl.int64) * T + rt, tl.sum(o * do, 1), mask=m)\n        if h == 0:\n            tl.store(START + rt, tl.zeros((BT,), tl.int32) + st, mask=m)\n            tl.store(END + rt, tl.zeros((BT,), tl.int32) + en, mask=m)\n\n\n@triton.jit\ndef _dq(Q, K, V, DO, LSE, DELTA, START, DQ, sm_scale, T, H, HKV, W, D: tl.constexpr, BM: tl.constexpr,\n        BN: tl.constexpr):\n    i0 = tl.program_id(0) * BM\n    h = tl.program_id(1)\n    hk = h // (H // HKV)\n    ri = i0 + tl.arange(0, BM)\n    mi = ri < T\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    q = tl.load(Q + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n    do = tl.load(DO + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n    lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n    delta = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n    st = tl.load(START + ri, mask=mi, other=T)\n    lo = st\n    if W >= 0:\n        lo = tl.maximum(st, ri - W)\n    j_lo = tl.min(tl.where(mi, lo, T), 0)\n    j_hi = tl.minimum(i0 + BM, T)\n    dq = tl.zeros((BM, D), tl.float32)\n    for j0 in range(j_lo, j_hi, BN):\n        rj = j0 + rn\n        mj = rj < j_hi\n        krow = (rj.to(tl.int64) * HKV + hk) * D\n        k = tl.load(K + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n        v = tl.load(V + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n        vis = (rj[None, :] >= lo[:, None]) & (rj[None, :] <= ri[:, None]) & mi[:, None] & mj[None, :]\n        s = tl.dot(q, tl.trans(k))\n        p = tl.where(vis, tl.exp(s * sm_scale - lse[:, None]), 0.0)\n        dp = tl.dot(do, tl.trans(v))\n        ds = (p * (dp - delta[:, None])).to(tl.bfloat16)\n        dq = tl.dot(ds, k, dq)\n    tl.store(DQ + qrow[:, None] + rd[None, :], (dq * sm_scale).to(tl.bfloat16), mask=mi[:, None])\n\n\n@triton.jit\ndef _dkdv(Q, K, V, DO, LSE, DELTA, END, DK, DV, sm_scale, T, H, HKV, W, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    j0 = tl.program_id(0) * BN\n    hk = tl.program_id(1)\n    G = H // HKV\n    rj = j0 + tl.arange(0, BN)\n    mj = rj < T\n    rd = tl.arange(0, D)\n    rm = tl.arange(0, BM)\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    k = tl.load(K + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n    v = tl.load(V + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n    en = tl.load(END + rj, mask=mj, other=0)\n    hi = en\n    if W >= 0:\n        hi = tl.minimum(en, rj + W + 1)\n    i_hi = tl.max(tl.where(mj, hi, 0), 0)\n    dk = tl.zeros((BN, D), tl.float32)\n    dv = tl.zeros((BN, D), tl.float32)\n    for g in range(0, G):\n        h = hk * G + g\n        for i0 in range(j0, i_hi, BM):\n            ri = i0 + rm\n            mi = ri < i_hi\n            qrow = (ri.to(tl.int64) * H + h) * D\n            q = tl.load(Q + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n            do = tl.load(DO + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n            lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n            delta = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n            vis = (ri[:, None] >= rj[None, :]) & (ri[:, None] < hi[None, :]) & mi[:, None] & mj[None, :]\n            s = tl.dot(q, tl.trans(k))\n            p = tl.where(vis, tl.exp(s * sm_scale - lse[:, None]), 0.0)\n            dp = tl.dot(do, tl.trans(v))\n            ds = (p * (dp - delta[:, None])).to(tl.bfloat16)\n            dv = tl.dot(tl.trans(p.to(tl.bfloat16)), do, dv)\n            dk = tl.dot(tl.trans(ds), q, dk)\n    tl.store(DK + krow[:, None] + rd[None, :], (dk * sm_scale).to(tl.bfloat16), mask=mj[:, None])\n    tl.store(DV + krow[:, None] + rd[None, :], dv.to(tl.bfloat16), mask=mj[:, None])\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    start = torch.empty((T,), device=q.device, dtype=torch.int32)\n    end = torch.empty((T,), device=q.device, dtype=torch.int32)\n    _prep[(n, H)](o, do, delta, cu_seqlens, start, end, T, H, D=D, BT=16, num_warps=4)\n    _dq[(triton.cdiv(T, 16), H)](q, k, v, do, lse, delta, start, dq, D ** -0.5, T, H, HKV, window, D=D, BM=16,\n                                 BN=16, num_warps=4, num_stages=1)\n    _dkdv[(triton.cdiv(T, 16), HKV)](q, k, v, do, lse, delta, end, dk, dv, D ** -0.5, T, H, HKV, window, D=D,\n                                     BM=16, BN=16, 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","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false,"persistedOutputPath":"/logs/agent/sessions/projects/-workspace/37478c68-e7d2-4bbc-909d-ce226771c695/tool-results/bwqn599ux.txt","persistedOutputSize":41729},"tool_result_meta":[{"id":"toolu_01CLUFTraJpk65WvS7AA8zrX","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9bserYVPDa6YQonJvNP","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_015VmQNhHnsHH8prPYiS5WQK","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 dir, GPU and versions"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":6859,"cache_read_input_tokens":12056,"cache_creation":{"ephemeral_5m_input_tokens":6859,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"597411cb-26d5-4920-a9ce-d7b35494c70f","timestamp":"2026-10-18T11:12:00.505Z","request_id":"req_011Cg9bseTyaSsHdMZgvGa4T"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015VmQNhHnsHH8prPYiS5WQK","type":"tool_result","content":"Sun Oct 18 11:12:00 2026       \n+-----------------------------------------------------------------------------------------+\n| NVIDIA-SMI 610.57.04              KMD Version: 610.57.04     CUDA UMD Version: 13.3     |\n+-----------------------------------------+------------------------+----------------------+\n| GPU  Name                 Persistence-M | Bus-Id          Disp.A | Volatile Uncorr. ECC |\n| Fan  Temp   Perf          Pwr:Usage/Cap |           Memory-Usage | GPU-Util  Compute M. |\n|                                         |                        |               MIG M. |\n|=========================================+========================+======================|\n|   0  NVIDIA B300 SXM6 AC            On  |   00000000:E6:00.0 Off |                    0 |\n| N/A   22C    P0            175W / 1100W |       4MiB / 275040MiB |      0%      Default |\n|                                         |                        |             Disabled |\n+-----------------------------------------+------------------------+----------------------+\n\n+-----------------------------------------------------------------------------------------+\n| Processes:                                                                              |\n|  GPU   GI   CI              PID   Type   Process name                        GPU Memory |\n|        ID   ID                                                               Usage      |\n|=========================================================================================|\n|  No running processes found                                                             |\n+-----------------------------------------------------------------------------------------+\n3.7.1 2.13.0+cu130","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"c357d788-c87d-463d-b1bc-e65e11007ad2","timestamp":"2026-10-18T11:12:03.200Z","tool_use_result":{"stdout":"Sun Oct 18 11:12:00 2026       \n+-----------------------------------------------------------------------------------------+\n| NVIDIA-SMI 610.57.04              KMD Version: 610.57.04     CUDA UMD Version: 13.3     |\n+-----------------------------------------+------------------------+----------------------+\n| GPU  Name                 Persistence-M | Bus-Id          Disp.A | Volatile Uncorr. ECC |\n| Fan  Temp   Perf          Pwr:Usage/Cap |           Memory-Usage | GPU-Util  Compute M. |\n|                                         |                        |               MIG M. |\n|=========================================+========================+======================|\n|   0  NVIDIA B300 SXM6 AC            On  |   00000000:E6:00.0 Off |                    0 |\n| N/A   22C    P0            175W / 1100W |       4MiB / 275040MiB |      0%      Default |\n|                                         |                        |             Disabled |\n+-----------------------------------------+------------------------+----------------------+\n\n+-----------------------------------------------------------------------------------------+\n| Processes:                                                                              |\n|  GPU   GI   CI              PID   Type   Process name                        GPU Memory |\n|        ID   ID                                                               Usage      |\n|=========================================================================================|\n|  No running processes found                                                             |\n+-----------------------------------------------------------------------------------------+\n3.7.1 2.13.0+cu130","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015VmQNhHnsHH8prPYiS5WQK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9bt6mmm9z323jYeB5Zj","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01UdHbi7CdU3fXFHAVx5SfLG","name":"Bash","input":{"command":"cat /workspace/task.py","description":"Show task.py"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1984,"cache_read_input_tokens":18915,"cache_creation":{"ephemeral_5m_input_tokens":1984,"ephemeral_1h_input_tokens":0},"output_tokens":21,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"72bb173c-2d14-41bb-b57a-78a536588a25","timestamp":"2026-10-18T11:12:04.474Z","request_id":"req_011Cg9bt6SRoBMt3dkMetEAz"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01UdHbi7CdU3fXFHAVx5SfLG","type":"tool_result","content":"\"\"\"Public task definition for xpr_hd256_attn_bwd: 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 attention backward with head dim 256 (dq, dk, dv) on Blackwell, GQA, sliding windows and packed documents\n(expert PR task).\n\nSource: Dao-AILab/flash-attention PRs #2964, #2965 and #2966 \"[CuTe, SM100] Unify hd256 backward (1/5-3/5)\" (Johnson,\nmerged 2026-10-06, 10-15 and 10-16), which rebuilt FlashAttention-4's head-dim-256 training backward on Blackwell on\ntop of #2807, #2891 and #2952. Upstream main (965c921, the #2966 merge, 2026-10-16) has two public hd256 backwards: the\ndefault \"dedicated\" pair (a dQ kernel and a dKdV kernel that each recompute S and dP, 2-CTA, no sliding window) and\nthe opt-in general kernel FlashAttentionBackwardSm100 (one kernel, 64-row KV tile per CTA, 2-CTA, any window,\nFLASH_ATTENTION_HD256_GENERIC_BWD=1), which the authors measured at parity to 11% faster than the pair on most shapes\nand 22-29% slower on 2K GQA (B200). Open PR #2967 (head 90419de, 2026-10-18) packs a KV head's query heads into the\ngeneral kernel's Q tile, 1-11% faster than the pair on hd256 GQA per its author. The bar on each shape is the fastest\nof the three (vendored in kernel_lab/expert_pr/fa4_v2966 and fa4_v2967; the route per shape is in fa4_v2966/b300.py),\nat 1.0x its speed in the same run.\n\nShapes: training of head-dim-256 models per GPU: Gemma-3-style global and sliding-window-1024 local layers (16 query\nand 8 KV heads, or 8 and 4), a Qwen3-Next-style full-attention layer (16 query heads, 2 KV heads) and packed\ndocuments of mixed lengths, 8K-16K tokens per step. o and lse come from an fp32 forward over the same inputs.\n\"\"\"\nfrom task_api import Case, Task\nAGENT_MINUTES = 120\nD = 256\nSCALE = D ** (-0.5)\nGAMMA = 2.0 ** (-17)\nOUTS = ((9, 'dq'), (10, 'dk'), (11, 'dv'))\n\ndef seq_lens(shape, g, device):\n    \"\"\"n sequences of length L, or with 'ragged' n of mean length L in [L/2, 3L/2], built in pairs (L + d, L - d) with\n    the first pair fixed at (3L/2, L/2), so the token count (n * L) and the longest sequence depend on the shape only;\n    'long' puts one extra sequence of that length first.\"\"\"\n    import torch\n    n, L = (shape['n'], shape['L'])\n    if shape.get('ragged'):\n        h = L // 2\n        d = torch.randint(-h, h + 1, (n // 2,), generator=g, device=device, dtype=torch.int64)\n        if n >= 2:\n            d[0] = h\n        lens = torch.stack([L + d, L - d], 1).reshape(-1)\n        if n % 2:\n            lens = torch.cat([lens, torch.full((1,), L, device=device, dtype=torch.int64)])\n    else:\n        lens = torch.full((n,), L, device=device, dtype=torch.int64)\n    if shape.get('long'):\n        lens = torch.cat([torch.tensor([shape['long']], device=device, dtype=torch.int64), lens])\n    return lens\n\ndef _visible(t0, t1, k0, k1, W, device):\n    \"\"\"[t1 - t0, k1 - k0] bool: key j is visible to query i of the same sequence when j <= i and, with a window W >= 0,\n    i - j <= W.\"\"\"\n    import torch\n    i = torch.arange(t0, t1, device=device).view(-1, 1)\n    j = torch.arange(k0, k1, device=device).view(1, -1)\n    m = j <= i\n    return m & (i - j <= W) if W >= 0 else m\n\ndef _chunks(cu, W, rows):\n    \"\"\"(t0, t1, k0) per query chunk of every sequence: keys k0 .. t1 - 1 hold every key a query of the chunk sees.\"\"\"\n    bounds = cu.tolist()\n    for s0, s1 in zip(bounds[:-1], bounds[1:]):\n        for t0 in range(s0, s1, rows):\n            t1 = min(s1, t0 + rows)\n            yield (t0, t1, s0 if W < 0 else max(s0, t0 - W))\n\ndef _rows(H, n_keys):\n    \"\"\"Query tokens per reference chunk: the [H, tokens, keys] fp32 intermediates stay at 64 MiB.\"\"\"\n    return max(16, 2 ** 24 // (H * max(1, n_keys)))\n\ndef _mm(eq, a, b):\n    \"\"\"einsum(eq, a, b) at fp32 accuracy for fp32 a and bf16-valued b, also when matmuls run in TF32: a splits into a\n    TF32-exact head (11 significant bits) and an exact fp32 tail, and every bf16 x head product is exact.\"\"\"\n    import torch\n    hi = (a.view(torch.int32) & -8192).view(torch.float32)\n    return torch.einsum(eq, hi, b) + torch.einsum(eq, a - hi, b)\n\ndef _tf32(fn, args):\n    \"\"\"Runs fn(args) with TF32 matmuls on CUDA (every product is split or exact, see _mm), restoring the setting.\"\"\"\n    import torch\n    prev = torch.get_float32_matmul_precision()\n    if args[0].is_cuda:\n        torch.set_float32_matmul_precision('high')\n    try:\n        return fn(args)\n    finally:\n        torch.set_float32_matmul_precision(prev)\n\ndef _forward(args):\n    \"\"\"The training forward in fp32: o = bf16(softmax(q k^T / 16) v) and lse = log(sum_j exp(q . k_j / 16)), written\n    into args[3] and args[5].\"\"\"\n    import torch\n    q, k, v, o, _, lse, cu, max_len, W = args[:9]\n    T, Hq, _ = q.shape\n    Hkv = k.shape[1]\n    G = Hq // Hkv\n    rows = _rows(Hq, max_len if W < 0 else min(max_len, W + 1))\n    for t0, t1, k0 in _chunks(cu, W, rows):\n        n = t1 - t0\n        qc = q[t0:t1].float().view(n, Hkv, G, D)\n        kc, vc = (k[k0:t1].float(), v[k0:t1].float())\n        s = torch.einsum('nhgd,mhd->hgnm', qc, kc) * SCALE\n        s = s.masked_fill(~_visible(t0, t1, k0, t1, W, q.device), float('-inf'))\n        L = torch.logsumexp(s, -1, keepdim=True)\n        O = _mm('hgnm,mhd->nhgd', torch.exp(s - L), vc)\n        o[t0:t1] = O.reshape(n, Hq, D).to(torch.bfloat16)\n        lse[:, t0:t1] = L.reshape(Hq, n)\n\ndef make_case(shape, seed, device, dist='normal'):\n    \"\"\"q, k, v and dO from the input distribution, generated as [tokens, heads * 256] so row-wise distributions act\n    per token; o and lse from the fp32 forward over the same inputs.\"\"\"\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    Hq, Hkv, W = (shape['Hq'], shape['Hkv'], shape['window'])\n    lens = seq_lens(shape, g, device)\n    T = int(lens.sum().item())\n    cu = torch.zeros((lens.numel() + 1,), device=device, dtype=torch.int32)\n    cu[1:] = torch.cumsum(lens, 0).to(torch.int32)\n    bf = torch.bfloat16\n    q = randn((T, Hq * D), g, device, dist).view(T, Hq, D).to(bf)\n    k = randn((T, Hkv * D), g, device, dist).view(T, Hkv, D).to(bf)\n    v = randn((T, Hkv * D), g, device, dist).view(T, Hkv, D).to(bf)\n    do = randn((T, Hq * D), g, device, dist).view(T, Hq, D).to(bf)\n    o = torch.empty((T, Hq, D), device=device, dtype=bf)\n    lse = torch.empty((Hq, T), device=device, dtype=torch.float32)\n    max_len = int(lens.max().item())\n    _tf32(_forward, [q, k, v, o, do, lse, cu, max_len, W])\n    dq = torch.empty((T, Hq, D), device=device, dtype=bf)\n    dk = torch.empty((T, Hkv, D), device=device, dtype=bf)\n    dv = torch.empty((T, Hkv, D), device=device, dtype=bf)\n    return Case(args=[q, k, v, o, do, lse, cu, max_len, W, dq, dk, dv], outputs=(9, 10, 11), shape=shape, dist=dist)\n\ndef _reference(args):\n    import torch\n    q, k, v, o, do, lse, cu, max_len, W = args[:9]\n    T, Hq, _ = q.shape\n    Hkv = k.shape[1]\n    G = Hq // Hkv\n    dev, f32 = (q.device, torch.float32)\n    DQ, TQ = (torch.empty((T, Hq, D), device=dev, dtype=f32), torch.empty((T, Hq, D), device=dev, dtype=f32))\n    DK, TK = (torch.zeros((T, Hkv, D), device=dev, dtype=f32), torch.zeros((T, Hkv, D), device=dev, dtype=f32))\n    DV, TV = (torch.zeros_like(DK), torch.zeros_like(DK))\n    kf, vf = (k.float(), v.float())\n    nk, nv = (kf.pow(2).sum(-1).sqrt(), vf.pow(2).sum(-1).sqrt())\n    rows = _rows(Hq, max_len if W < 0 else min(max_len, W + 1))\n    for t0, t1, k0 in _chunks(cu, W, rows):\n        n = t1 - t0\n        qc = q[t0:t1].float().view(n, Hkv, G, D)\n        kc, vc = (kf[k0:t1], vf[k0:t1])\n        dO = do[t0:t1].float().view(n, Hkv, G, D)\n        L = lse[:, t0:t1].view(Hkv, G, n, 1)\n        vis = _visible(t0, t1, k0, t1, W, dev)\n        s = torch.einsum('nhgd,mhd->hgnm', qc, kc)\n        P = torch.exp(s * SCALE - L).masked_fill_(~vis, 0.0)\n        dP = torch.einsum('nhgd,mhd->hgnm', dO, vc)\n        Od = o[t0:t1].double().view(n, Hkv, G, D)\n        delta = (Od * dO.double()).sum(-1).permute(1, 2, 0).unsqueeze(-1)\n        dmd = dP.sub_(delta.float())\n        dS = P * dmd\n        DQ[t0:t1] = (SCALE * _mm('hgnm,mhd->nhgd', dS, kc)).reshape(n, Hq, D)\n        DK[k0:t1] += SCALE * _mm('hgnm,nhgd->mhd', dS, qc)\n        DV[k0:t1] += _mm('hgnm,nhgd->mhd', P, dO)\n        nq = qc.pow(2).sum(-1).sqrt().permute(1, 2, 0).unsqueeze(-1)\n        ndo = dO.pow(2).sum(-1).sqrt().permute(1, 2, 0).unsqueeze(-1)\n        d1 = (Od.abs() * dO.double().abs()).sum(-1).permute(1, 2, 0).unsqueeze(-1).float()\n        kmax = nk[k0:t1].max(0).values.view(Hkv, 1, 1, 1)\n        vmax = nv[k0:t1].max(0).values.view(Hkv, 1, 1, 1)\n        e = (2 * GAMMA + 2.0 ** (-20)) * SCALE * nq * kmax + 2.0 ** (-20) * L.abs() + 2.0 ** (-21)\n        eta = torch.expm1(e)\n        a = 2.0 ** (-7) + eta\n        b = (1 + eta) * (2 * GAMMA) * (ndo * vmax + d1)\n        A = dS.abs_().mul_(a).add_(b * P)\n        TQ[t0:t1] = (SCALE * torch.einsum('hgnm,mhd->nhgd', A, kc.abs())).reshape(n, Hq, D)\n        TK[k0:t1] += SCALE * torch.einsum('hgnm,nhgd->mhd', A, qc.abs())\n        TV[k0:t1] += torch.einsum('hgnm,nhgd->mhd', P.mul_(a), dO.abs())\n    exact = {'dq': DQ, 'dk': DK, 'dv': DV}\n    tol = {'dq': TQ, 'dk': TK, 'dv': TV}\n    res = {}\n    for i, nm in OUTS:\n        x = exact[nm]\n        res[i] = x.to(torch.bfloat16)\n        res[nm] = x\n        res['tol_' + nm] = tol[nm] * (1 + 2.0 ** (-8)) + 2.0 ** (-7) * x.abs() + 2.0 ** (-100)\n    return res\n\ndef reference(args):\n    \"\"\"The contract in fp32 from the bf16 inputs (every product exact or split to fp32 accuracy, delta in float64), in\n    chunks of query tokens per sequence: P from the given lse, dS = P (dP - delta) with delta = sum(dO * o), dq per\n    token, dk and dv summed over every query (and query head of the KV head's group) that sees the key. Returns the\n    outputs in bf16 (int keys) and, for the check, the exact values in fp32 plus per-element tolerances 'tol_<name>'.\"\"\"\n    return _tf32(_reference, args)\n\ndef check(got, exp):\n    \"\"\"Per element, every output must lie within its tolerance of the exact value: |got - exact| <= tol. The tolerance\n    follows the error a correct kernel can make, term by term, summed over the (query, key) pairs that feed the element:\n    - logits: e = (2 GAMMA + 2^-20) |q| max|k| / 16 + 2^-20 |lse| + 2^-21, with GAMMA = 2^-17 for an fp32 dot product\n      of exact bf16 products (blocked or tensor-core sums reach about 2^-21), the score, lse and scale roundings and an\n      approximate exp2 (max|k| over the keys of the reference's query chunk); P may be off by expm1(e) of itself;\n    - dP - delta: eps = 2 GAMMA (|dO| max|v| + sum |dO o|), an fp32 dot product and an fp32 delta;\n    - per pair, A = |dS| (2^-7 + expm1(e)) + P (1 + expm1(e)) eps: dS rounded once to bf16 (2^-8, the rest headroom\n      for fp32 sums over up to 16K keys) and the P error;\n    - dq: sum over keys of A |k| / 16; dk: the sum over (query, query head of the group) of A |q| / 16; dv: the same sum\n      of P (2^-7 + expm1(e)) |dO| (P rounded once to bf16 for the dV product); each output also gets 2^-7 of its value\n      for the final bf16 rounding.\n    Non-finite values fail. The bounds take delta from the given o (bf16): that is the contract (delta = sum(dO * o)),\n    as every FlashAttention backward computes it. The FlashAttention-4 numerics (P recomputed in fp32 with exp2, bf16 P\n    for dV, dS formed in fp32 and rounded once to bf16, fp32 dq/dk/dv sums, bf16 outputs), modeled on CPU in\n    tests/test_hd256_attn_bwd.py, use under half of any tolerance on every loop and holdout distribution. A window off\n    by one key, a key of the wrong KV head, keys of another packed sequence, delta left out of dS, dP rounded to bf16\n    before subtracting delta or a missing softmax scale on dk fails.\"\"\"\n    import torch\n    stats = {}\n    ok = True\n    for i, nm in OUTS:\n        g, e, tol = (got[i], exp[nm], exp['tol_' + nm])\n        if tuple(g.shape) != tuple(e.shape):\n            return (False, {'error': f'{nm}: shape {tuple(g.shape)} != {tuple(e.shape)}'})\n        if g.dtype != exp[i].dtype:\n            return (False, {'error': f'{nm}: dtype {g.dtype} is not {exp[i].dtype}'})\n        gf = g.float()\n        finite = torch.isfinite(gf)\n        diff = torch.where(finite, (gf - e).abs(), torch.full_like(gf, float('inf')))\n        bad = int((diff > tol).sum().item())\n        fin = torch.where(finite, diff, torch.zeros_like(diff))\n        over = fin / (tol + 1e-30)\n        stats[nm] = {'bad': bad, 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if g.numel() else 0.0, 'max_over_tol': float(over.max().item()) if g.numel() else 0.0}\n        ok = ok and bad == 0\n    return (ok, stats)\n\ndef _bytes(s):\n    \"\"\"Lower bound: q, o, dO and dq (query heads), k, v, dk and dv (KV heads) moved once in bf16, lse read once.\"\"\"\n    T = s['n'] * s['L'] + s.get('long', 0)\n    return T * D * 2 * 4 * (s['Hq'] + s['Hkv']) + T * s['Hq'] * 4\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's hd256 backward, on each shape the fastest public route (expert_pr/fa4_v2966/b300.py\n    ROUTE): the dedicated pair or the general kernel at upstream 965c921 (the #2966 merge, expert_pr/fa4_v2966), or the\n    general kernel with GQA head packing at open PR #2967's head (expert_pr/fa4_v2967); called dense for batches of\n    equal-length sequences and varlen otherwise, writing dq, dk and dv into the output buffers.\"\"\"\n    from kernel_lab.expert_pr.fa4_v2966 import b300, utils as utils_2966\n    from kernel_lab.expert_pr.fa4_v2967 import utils as utils_2967\n    from kernel_lab.expert_pr.fa4_v2966.interface import _flash_attn_bwd as bwd_2966\n    from kernel_lab.expert_pr.fa4_v2967.interface import _flash_attn_bwd as bwd_2967\n\n    def run(q, k, v, o, do, lse, cu, max_len, W, dq, dk, dv):\n        T, Hq, _ = q.shape\n        n = cu.shape[0] - 1\n        kernel, mode = b300.route(T, Hq, k.shape[1], n, max_len, W)\n        if kernel == 'packed':\n            bwd = bwd_2967\n            utils_2967.HD256_GENERIC_BWD = utils_2967.BWD_PACK_GQA = True\n        else:\n            bwd = bwd_2966\n            utils_2966.HD256_GENERIC_BWD = kernel == 'generic'\n        win = {} if W < 0 else {'window_size_left': W, 'window_size_right': 0}\n        if mode == 'dense':\n            S = T // n\n            x4 = [t.view(n, S, t.shape[1], D) for t in (q, k, v, o, do, dq, dk, dv)]\n            bwd(*x4[:5], lse.view(Hq, n, S).transpose(0, 1), softmax_scale=SCALE, causal=True, dq=x4[5], dk=x4[6], dv=x4[7], **win)\n        else:\n            bwd(q, k, v, o, do, lse, softmax_scale=SCALE, causal=True, cu_seqlens_q=cu, cu_seqlens_k=cu, max_seqlen_q=max_len, max_seqlen_k=max_len, dq=dq, dk=dk, dv=dv, **win)\n    return run\nTASK = Task(name='xpr_hd256_attn_bwd', title='Causal attention backward (dq, dk, dv), head dim 256, GQA, sliding windows and packed documents, 8K-16K tokens (bar: FlashAttention-4 after PR #2966, with open PR #2967, October 2026)', models='Training of head-dim-256 models on Blackwell, per GPU: Gemma-3-style global layers and sliding-window-1024 local layers (16 query / 8 KV heads, or 8 / 4), Qwen3-Next-style full-attention layers (16 query heads, 2 KV heads) and packed batches of documents of mixed lengths, 8K-16K tokens per step.', semantics=\"q is [T, Hq, 256] bf16, k and v are [T, Hkv, 256] bf16 (Hq a multiple of Hkv; query head h uses KV head h // (Hq / Hkv)): the tokens of all sequences packed back to back. o is [T, Hq, 256] bf16, the forward output rounded to bf16; do is [T, Hq, 256] bf16, the gradient of the output; lse is [Hq, T] float32, the forward log-sum-exp (natural log, scale included). cu_seqlens is [n + 1] int32 with cu_seqlens[0] = 0 and sequence s occupying tokens cu_seqlens[s] .. cu_seqlens[s + 1] - 1; max_seqlen is the longest sequence (a python int); window is a python int, -1 or W >= 0. All tensors contiguous. Query i of a sequence sees key j of the same sequence when j <= i and, if window >= 0, i - j <= window. For each query i, head h and visible key j: score = q[i,h] . k[j,h'] / 16, P = exp(score - lse[h,i]), dP = do[i,h] . v[j,h'], delta = sum over the 256 columns of do[i,h] * o[i,h], dS = P (dP - delta). Write dq[i,h] = sum_j dS k[j,h'] / 16, dk[j,h'] = sum over every (i, h) that sees j with h // (Hq / Hkv) = h' of dS q[i,h] / 16, and dv[j,h'] = the same sum of P do[i,h], fp32 (or better) math rounded to bf16, into dq [T, Hq, 256], dk and dv [T, Hkv, 256] (contiguous). dq, dk and dv arrive filled with NaN like every output. P and dS may each be rounded once to bf16 as tensor-core operands; scores, P, dP, delta and dS are otherwise fp32 or better from the given values (no extra rounding of the scores or dP); summation order is free.\", signature='def kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv) -> None  # writes dq, dk, dv', shapes=[{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}, {'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}, {'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}, {'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}, {'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}, {'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=_bytes, notes=\"Per visible (query, key) pair and query head, 5 x 256 multiply-adds: recompute the score (q . k), dP (dO . v), and the three products dV += P dO, dQ += dS k and dK += dS q, about 1.4 TFLOP for a causal 8K sequence with 16 query heads. Compute bound; skip key blocks the causal mask or the window hides entirely, and the tiles of other packed sequences. Head dim 256 doubles the register, shared-memory and tensor-memory footprint of each tile compared with 128: one 128 x 256 bf16 tile is 64 KiB, and fp32 dK and dV for 128 keys fill a whole SM's 512 tensor-memory columns. With GQA every key gets dK and dV contributions from all Hq / Hkv query heads of its group; summing them inside one program avoids fp32 atomics over heads. The expert runs, per shape, two kernels (dQ, then dK and dV, each recomputing S and dP) or one kernel with a 64-row KV tile and fp32 dQ partial sums, with or without the group's query heads packed into one tile; none is best on every shape. delta = rowsum(dO * o) needs only o and dO. Expert times on B300 (us, cold L2): 1x8K 1518, window 1024 510, 2x4K with 2 KV heads 980, 8 packed documents 1124-1206 (by lengths), 4x2K 302, packed 16K window 1024 520 (the pair before the series, which has no window: 1774, -, 1118, 1336, 356, -). The bar is 1.0x the expert speed (geometric mean over the timed and hidden shapes, each hidden shape at least 0.8x).\", weight=0.5, gpus=('B300',))","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d863f139-87d9-49ff-b3fb-5c6f0c273056","timestamp":"2026-10-18T11:12:04.506Z","tool_use_result":{"stdout":"\"\"\"Public task definition for xpr_hd256_attn_bwd: 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 attention backward with head dim 256 (dq, dk, dv) on Blackwell, GQA, sliding windows and packed documents\n(expert PR task).\n\nSource: Dao-AILab/flash-attention PRs #2964, #2965 and #2966 \"[CuTe, SM100] Unify hd256 backward (1/5-3/5)\" (Johnson,\nmerged 2026-10-06, 10-15 and 10-16), which rebuilt FlashAttention-4's head-dim-256 training backward on Blackwell on\ntop of #2807, #2891 and #2952. Upstream main (965c921, the #2966 merge, 2026-10-16) has two public hd256 backwards: the\ndefault \"dedicated\" pair (a dQ kernel and a dKdV kernel that each recompute S and dP, 2-CTA, no sliding window) and\nthe opt-in general kernel FlashAttentionBackwardSm100 (one kernel, 64-row KV tile per CTA, 2-CTA, any window,\nFLASH_ATTENTION_HD256_GENERIC_BWD=1), which the authors measured at parity to 11% faster than the pair on most shapes\nand 22-29% slower on 2K GQA (B200). Open PR #2967 (head 90419de, 2026-10-18) packs a KV head's query heads into the\ngeneral kernel's Q tile, 1-11% faster than the pair on hd256 GQA per its author. The bar on each shape is the fastest\nof the three (vendored in kernel_lab/expert_pr/fa4_v2966 and fa4_v2967; the route per shape is in fa4_v2966/b300.py),\nat 1.0x its speed in the same run.\n\nShapes: training of head-dim-256 models per GPU: Gemma-3-style global and sliding-window-1024 local layers (16 query\nand 8 KV heads, or 8 and 4), a Qwen3-Next-style full-attention layer (16 query heads, 2 KV heads) and packed\ndocuments of mixed lengths, 8K-16K tokens per step. o and lse come from an fp32 forward over the same inputs.\n\"\"\"\nfrom task_api import Case, Task\nAGENT_MINUTES = 120\nD = 256\nSCALE = D ** (-0.5)\nGAMMA = 2.0 ** (-17)\nOUTS = ((9, 'dq'), (10, 'dk'), (11, 'dv'))\n\ndef seq_lens(shape, g, device):\n    \"\"\"n sequences of length L, or with 'ragged' n of mean length L in [L/2, 3L/2], built in pairs (L + d, L - d) with\n    the first pair fixed at (3L/2, L/2), so the token count (n * L) and the longest sequence depend on the shape only;\n    'long' puts one extra sequence of that length first.\"\"\"\n    import torch\n    n, L = (shape['n'], shape['L'])\n    if shape.get('ragged'):\n        h = L // 2\n        d = torch.randint(-h, h + 1, (n // 2,), generator=g, device=device, dtype=torch.int64)\n        if n >= 2:\n            d[0] = h\n        lens = torch.stack([L + d, L - d], 1).reshape(-1)\n        if n % 2:\n            lens = torch.cat([lens, torch.full((1,), L, device=device, dtype=torch.int64)])\n    else:\n        lens = torch.full((n,), L, device=device, dtype=torch.int64)\n    if shape.get('long'):\n        lens = torch.cat([torch.tensor([shape['long']], device=device, dtype=torch.int64), lens])\n    return lens\n\ndef _visible(t0, t1, k0, k1, W, device):\n    \"\"\"[t1 - t0, k1 - k0] bool: key j is visible to query i of the same sequence when j <= i and, with a window W >= 0,\n    i - j <= W.\"\"\"\n    import torch\n    i = torch.arange(t0, t1, device=device).view(-1, 1)\n    j = torch.arange(k0, k1, device=device).view(1, -1)\n    m = j <= i\n    return m & (i - j <= W) if W >= 0 else m\n\ndef _chunks(cu, W, rows):\n    \"\"\"(t0, t1, k0) per query chunk of every sequence: keys k0 .. t1 - 1 hold every key a query of the chunk sees.\"\"\"\n    bounds = cu.tolist()\n    for s0, s1 in zip(bounds[:-1], bounds[1:]):\n        for t0 in range(s0, s1, rows):\n            t1 = min(s1, t0 + rows)\n            yield (t0, t1, s0 if W < 0 else max(s0, t0 - W))\n\ndef _rows(H, n_keys):\n    \"\"\"Query tokens per reference chunk: the [H, tokens, keys] fp32 intermediates stay at 64 MiB.\"\"\"\n    return max(16, 2 ** 24 // (H * max(1, n_keys)))\n\ndef _mm(eq, a, b):\n    \"\"\"einsum(eq, a, b) at fp32 accuracy for fp32 a and bf16-valued b, also when matmuls run in TF32: a splits into a\n    TF32-exact head (11 significant bits) and an exact fp32 tail, and every bf16 x head product is exact.\"\"\"\n    import torch\n    hi = (a.view(torch.int32) & -8192).view(torch.float32)\n    return torch.einsum(eq, hi, b) + torch.einsum(eq, a - hi, b)\n\ndef _tf32(fn, args):\n    \"\"\"Runs fn(args) with TF32 matmuls on CUDA (every product is split or exact, see _mm), restoring the setting.\"\"\"\n    import torch\n    prev = torch.get_float32_matmul_precision()\n    if args[0].is_cuda:\n        torch.set_float32_matmul_precision('high')\n    try:\n        return fn(args)\n    finally:\n        torch.set_float32_matmul_precision(prev)\n\ndef _forward(args):\n    \"\"\"The training forward in fp32: o = bf16(softmax(q k^T / 16) v) and lse = log(sum_j exp(q . k_j / 16)), written\n    into args[3] and args[5].\"\"\"\n    import torch\n    q, k, v, o, _, lse, cu, max_len, W = args[:9]\n    T, Hq, _ = q.shape\n    Hkv = k.shape[1]\n    G = Hq // Hkv\n    rows = _rows(Hq, max_len if W < 0 else min(max_len, W + 1))\n    for t0, t1, k0 in _chunks(cu, W, rows):\n        n = t1 - t0\n        qc = q[t0:t1].float().view(n, Hkv, G, D)\n        kc, vc = (k[k0:t1].float(), v[k0:t1].float())\n        s = torch.einsum('nhgd,mhd->hgnm', qc, kc) * SCALE\n        s = s.masked_fill(~_visible(t0, t1, k0, t1, W, q.device), float('-inf'))\n        L = torch.logsumexp(s, -1, keepdim=True)\n        O = _mm('hgnm,mhd->nhgd', torch.exp(s - L), vc)\n        o[t0:t1] = O.reshape(n, Hq, D).to(torch.bfloat16)\n        lse[:, t0:t1] = L.reshape(Hq, n)\n\ndef make_case(shape, seed, device, dist='normal'):\n    \"\"\"q, k, v and dO from the input distribution, generated as [tokens, heads * 256] so row-wise distributions act\n    per token; o and lse from the fp32 forward over the same inputs.\"\"\"\n    import torch\n    from task_api import gen, randn\n    g = gen(device, seed)\n    Hq, Hkv, W = (shape['Hq'], shape['Hkv'], shape['window'])\n    lens = seq_lens(shape, g, device)\n    T = int(lens.sum().item())\n    cu = torch.zeros((lens.numel() + 1,), device=device, dtype=torch.int32)\n    cu[1:] = torch.cumsum(lens, 0).to(torch.int32)\n    bf = torch.bfloat16\n    q = randn((T, Hq * D), g, device, dist).view(T, Hq, D).to(bf)\n    k = randn((T, Hkv * D), g, device, dist).view(T, Hkv, D).to(bf)\n    v = randn((T, Hkv * D), g, device, dist).view(T, Hkv, D).to(bf)\n    do = randn((T, Hq * D), g, device, dist).view(T, Hq, D).to(bf)\n    o = torch.empty((T, Hq, D), device=device, dtype=bf)\n    lse = torch.empty((Hq, T), device=device, dtype=torch.float32)\n    max_len = int(lens.max().item())\n    _tf32(_forward, [q, k, v, o, do, lse, cu, max_len, W])\n    dq = torch.empty((T, Hq, D), device=device, dtype=bf)\n    dk = torch.empty((T, Hkv, D), device=device, dtype=bf)\n    dv = torch.empty((T, Hkv, D), device=device, dtype=bf)\n    return Case(args=[q, k, v, o, do, lse, cu, max_len, W, dq, dk, dv], outputs=(9, 10, 11), shape=shape, dist=dist)\n\ndef _reference(args):\n    import torch\n    q, k, v, o, do, lse, cu, max_len, W = args[:9]\n    T, Hq, _ = q.shape\n    Hkv = k.shape[1]\n    G = Hq // Hkv\n    dev, f32 = (q.device, torch.float32)\n    DQ, TQ = (torch.empty((T, Hq, D), device=dev, dtype=f32), torch.empty((T, Hq, D), device=dev, dtype=f32))\n    DK, TK = (torch.zeros((T, Hkv, D), device=dev, dtype=f32), torch.zeros((T, Hkv, D), device=dev, dtype=f32))\n    DV, TV = (torch.zeros_like(DK), torch.zeros_like(DK))\n    kf, vf = (k.float(), v.float())\n    nk, nv = (kf.pow(2).sum(-1).sqrt(), vf.pow(2).sum(-1).sqrt())\n    rows = _rows(Hq, max_len if W < 0 else min(max_len, W + 1))\n    for t0, t1, k0 in _chunks(cu, W, rows):\n        n = t1 - t0\n        qc = q[t0:t1].float().view(n, Hkv, G, D)\n        kc, vc = (kf[k0:t1], vf[k0:t1])\n        dO = do[t0:t1].float().view(n, Hkv, G, D)\n        L = lse[:, t0:t1].view(Hkv, G, n, 1)\n        vis = _visible(t0, t1, k0, t1, W, dev)\n        s = torch.einsum('nhgd,mhd->hgnm', qc, kc)\n        P = torch.exp(s * SCALE - L).masked_fill_(~vis, 0.0)\n        dP = torch.einsum('nhgd,mhd->hgnm', dO, vc)\n        Od = o[t0:t1].double().view(n, Hkv, G, D)\n        delta = (Od * dO.double()).sum(-1).permute(1, 2, 0).unsqueeze(-1)\n        dmd = dP.sub_(delta.float())\n        dS = P * dmd\n        DQ[t0:t1] = (SCALE * _mm('hgnm,mhd->nhgd', dS, kc)).reshape(n, Hq, D)\n        DK[k0:t1] += SCALE * _mm('hgnm,nhgd->mhd', dS, qc)\n        DV[k0:t1] += _mm('hgnm,nhgd->mhd', P, dO)\n        nq = qc.pow(2).sum(-1).sqrt().permute(1, 2, 0).unsqueeze(-1)\n        ndo = dO.pow(2).sum(-1).sqrt().permute(1, 2, 0).unsqueeze(-1)\n        d1 = (Od.abs() * dO.double().abs()).sum(-1).permute(1, 2, 0).unsqueeze(-1).float()\n        kmax = nk[k0:t1].max(0).values.view(Hkv, 1, 1, 1)\n        vmax = nv[k0:t1].max(0).values.view(Hkv, 1, 1, 1)\n        e = (2 * GAMMA + 2.0 ** (-20)) * SCALE * nq * kmax + 2.0 ** (-20) * L.abs() + 2.0 ** (-21)\n        eta = torch.expm1(e)\n        a = 2.0 ** (-7) + eta\n        b = (1 + eta) * (2 * GAMMA) * (ndo * vmax + d1)\n        A = dS.abs_().mul_(a).add_(b * P)\n        TQ[t0:t1] = (SCALE * torch.einsum('hgnm,mhd->nhgd', A, kc.abs())).reshape(n, Hq, D)\n        TK[k0:t1] += SCALE * torch.einsum('hgnm,nhgd->mhd', A, qc.abs())\n        TV[k0:t1] += torch.einsum('hgnm,nhgd->mhd', P.mul_(a), dO.abs())\n    exact = {'dq': DQ, 'dk': DK, 'dv': DV}\n    tol = {'dq': TQ, 'dk': TK, 'dv': TV}\n    res = {}\n    for i, nm in OUTS:\n        x = exact[nm]\n        res[i] = x.to(torch.bfloat16)\n        res[nm] = x\n        res['tol_' + nm] = tol[nm] * (1 + 2.0 ** (-8)) + 2.0 ** (-7) * x.abs() + 2.0 ** (-100)\n    return res\n\ndef reference(args):\n    \"\"\"The contract in fp32 from the bf16 inputs (every product exact or split to fp32 accuracy, delta in float64), in\n    chunks of query tokens per sequence: P from the given lse, dS = P (dP - delta) with delta = sum(dO * o), dq per\n    token, dk and dv summed over every query (and query head of the KV head's group) that sees the key. Returns the\n    outputs in bf16 (int keys) and, for the check, the exact values in fp32 plus per-element tolerances 'tol_<name>'.\"\"\"\n    return _tf32(_reference, args)\n\ndef check(got, exp):\n    \"\"\"Per element, every output must lie within its tolerance of the exact value: |got - exact| <= tol. The tolerance\n    follows the error a correct kernel can make, term by term, summed over the (query, key) pairs that feed the element:\n    - logits: e = (2 GAMMA + 2^-20) |q| max|k| / 16 + 2^-20 |lse| + 2^-21, with GAMMA = 2^-17 for an fp32 dot product\n      of exact bf16 products (blocked or tensor-core sums reach about 2^-21), the score, lse and scale roundings and an\n      approximate exp2 (max|k| over the keys of the reference's query chunk); P may be off by expm1(e) of itself;\n    - dP - delta: eps = 2 GAMMA (|dO| max|v| + sum |dO o|), an fp32 dot product and an fp32 delta;\n    - per pair, A = |dS| (2^-7 + expm1(e)) + P (1 + expm1(e)) eps: dS rounded once to bf16 (2^-8, the rest headroom\n      for fp32 sums over up to 16K keys) and the P error;\n    - dq: sum over keys of A |k| / 16; dk: the sum over (query, query head of the group) of A |q| / 16; dv: the same sum\n      of P (2^-7 + expm1(e)) |dO| (P rounded once to bf16 for the dV product); each output also gets 2^-7 of its value\n      for the final bf16 rounding.\n    Non-finite values fail. The bounds take delta from the given o (bf16): that is the contract (delta = sum(dO * o)),\n    as every FlashAttention backward computes it. The FlashAttention-4 numerics (P recomputed in fp32 with exp2, bf16 P\n    for dV, dS formed in fp32 and rounded once to bf16, fp32 dq/dk/dv sums, bf16 outputs), modeled on CPU in\n    tests/test_hd256_attn_bwd.py, use under half of any tolerance on every loop and holdout distribution. A window off\n    by one key, a key of the wrong KV head, keys of another packed sequence, delta left out of dS, dP rounded to bf16\n    before subtracting delta or a missing softmax scale on dk fails.\"\"\"\n    import torch\n    stats = {}\n    ok = True\n    for i, nm in OUTS:\n        g, e, tol = (got[i], exp[nm], exp['tol_' + nm])\n        if tuple(g.shape) != tuple(e.shape):\n            return (False, {'error': f'{nm}: shape {tuple(g.shape)} != {tuple(e.shape)}'})\n        if g.dtype != exp[i].dtype:\n            return (False, {'error': f'{nm}: dtype {g.dtype} is not {exp[i].dtype}'})\n        gf = g.float()\n        finite = torch.isfinite(gf)\n        diff = torch.where(finite, (gf - e).abs(), torch.full_like(gf, float('inf')))\n        bad = int((diff > tol).sum().item())\n        fin = torch.where(finite, diff, torch.zeros_like(diff))\n        over = fin / (tol + 1e-30)\n        stats[nm] = {'bad': bad, 'nonfinite': int((~finite).sum().item()), 'max_abs': float(fin.max().item()) if g.numel() else 0.0, 'max_over_tol': float(over.max().item()) if g.numel() else 0.0}\n        ok = ok and bad == 0\n    return (ok, stats)\n\ndef _bytes(s):\n    \"\"\"Lower bound: q, o, dO and dq (query heads), k, v, dk and dv (KV heads) moved once in bf16, lse read once.\"\"\"\n    T = s['n'] * s['L'] + s.get('long', 0)\n    return T * D * 2 * 4 * (s['Hq'] + s['Hkv']) + T * s['Hq'] * 4\n\ndef vllm():\n    \"\"\"The bar: FlashAttention-4's hd256 backward, on each shape the fastest public route (expert_pr/fa4_v2966/b300.py\n    ROUTE): the dedicated pair or the general kernel at upstream 965c921 (the #2966 merge, expert_pr/fa4_v2966), or the\n    general kernel with GQA head packing at open PR #2967's head (expert_pr/fa4_v2967); called dense for batches of\n    equal-length sequences and varlen otherwise, writing dq, dk and dv into the output buffers.\"\"\"\n    from kernel_lab.expert_pr.fa4_v2966 import b300, utils as utils_2966\n    from kernel_lab.expert_pr.fa4_v2967 import utils as utils_2967\n    from kernel_lab.expert_pr.fa4_v2966.interface import _flash_attn_bwd as bwd_2966\n    from kernel_lab.expert_pr.fa4_v2967.interface import _flash_attn_bwd as bwd_2967\n\n    def run(q, k, v, o, do, lse, cu, max_len, W, dq, dk, dv):\n        T, Hq, _ = q.shape\n        n = cu.shape[0] - 1\n        kernel, mode = b300.route(T, Hq, k.shape[1], n, max_len, W)\n        if kernel == 'packed':\n            bwd = bwd_2967\n            utils_2967.HD256_GENERIC_BWD = utils_2967.BWD_PACK_GQA = True\n        else:\n            bwd = bwd_2966\n            utils_2966.HD256_GENERIC_BWD = kernel == 'generic'\n        win = {} if W < 0 else {'window_size_left': W, 'window_size_right': 0}\n        if mode == 'dense':\n            S = T // n\n            x4 = [t.view(n, S, t.shape[1], D) for t in (q, k, v, o, do, dq, dk, dv)]\n            bwd(*x4[:5], lse.view(Hq, n, S).transpose(0, 1), softmax_scale=SCALE, causal=True, dq=x4[5], dk=x4[6], dv=x4[7], **win)\n        else:\n            bwd(q, k, v, o, do, lse, softmax_scale=SCALE, causal=True, cu_seqlens_q=cu, cu_seqlens_k=cu, max_seqlen_q=max_len, max_seqlen_k=max_len, dq=dq, dk=dk, dv=dv, **win)\n    return run\nTASK = Task(name='xpr_hd256_attn_bwd', title='Causal attention backward (dq, dk, dv), head dim 256, GQA, sliding windows and packed documents, 8K-16K tokens (bar: FlashAttention-4 after PR #2966, with open PR #2967, October 2026)', models='Training of head-dim-256 models on Blackwell, per GPU: Gemma-3-style global layers and sliding-window-1024 local layers (16 query / 8 KV heads, or 8 / 4), Qwen3-Next-style full-attention layers (16 query heads, 2 KV heads) and packed batches of documents of mixed lengths, 8K-16K tokens per step.', semantics=\"q is [T, Hq, 256] bf16, k and v are [T, Hkv, 256] bf16 (Hq a multiple of Hkv; query head h uses KV head h // (Hq / Hkv)): the tokens of all sequences packed back to back. o is [T, Hq, 256] bf16, the forward output rounded to bf16; do is [T, Hq, 256] bf16, the gradient of the output; lse is [Hq, T] float32, the forward log-sum-exp (natural log, scale included). cu_seqlens is [n + 1] int32 with cu_seqlens[0] = 0 and sequence s occupying tokens cu_seqlens[s] .. cu_seqlens[s + 1] - 1; max_seqlen is the longest sequence (a python int); window is a python int, -1 or W >= 0. All tensors contiguous. Query i of a sequence sees key j of the same sequence when j <= i and, if window >= 0, i - j <= window. For each query i, head h and visible key j: score = q[i,h] . k[j,h'] / 16, P = exp(score - lse[h,i]), dP = do[i,h] . v[j,h'], delta = sum over the 256 columns of do[i,h] * o[i,h], dS = P (dP - delta). Write dq[i,h] = sum_j dS k[j,h'] / 16, dk[j,h'] = sum over every (i, h) that sees j with h // (Hq / Hkv) = h' of dS q[i,h] / 16, and dv[j,h'] = the same sum of P do[i,h], fp32 (or better) math rounded to bf16, into dq [T, Hq, 256], dk and dv [T, Hkv, 256] (contiguous). dq, dk and dv arrive filled with NaN like every output. P and dS may each be rounded once to bf16 as tensor-core operands; scores, P, dP, delta and dS are otherwise fp32 or better from the given values (no extra rounding of the scores or dP); summation order is free.\", signature='def kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv) -> None  # writes dq, dk, dv', shapes=[{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}, {'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}, {'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}, {'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}, {'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}, {'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}], edge_shapes=[], dists=[], make_case=make_case, reference=reference, check=check, vllm=vllm, bytes_moved=_bytes, notes=\"Per visible (query, key) pair and query head, 5 x 256 multiply-adds: recompute the score (q . k), dP (dO . v), and the three products dV += P dO, dQ += dS k and dK += dS q, about 1.4 TFLOP for a causal 8K sequence with 16 query heads. Compute bound; skip key blocks the causal mask or the window hides entirely, and the tiles of other packed sequences. Head dim 256 doubles the register, shared-memory and tensor-memory footprint of each tile compared with 128: one 128 x 256 bf16 tile is 64 KiB, and fp32 dK and dV for 128 keys fill a whole SM's 512 tensor-memory columns. With GQA every key gets dK and dV contributions from all Hq / Hkv query heads of its group; summing them inside one program avoids fp32 atomics over heads. The expert runs, per shape, two kernels (dQ, then dK and dV, each recomputing S and dP) or one kernel with a 64-row KV tile and fp32 dQ partial sums, with or without the group's query heads packed into one tile; none is best on every shape. delta = rowsum(dO * o) needs only o and dO. Expert times on B300 (us, cold L2): 1x8K 1518, window 1024 510, 2x4K with 2 KV heads 980, 8 packed documents 1124-1206 (by lengths), 4x2K 302, packed 16K window 1024 520 (the pair before the series, which has no window: 1774, -, 1118, 1336, 356, -). The bar is 1.0x the expert speed (geometric mean over the timed and hidden shapes, each hidden shape at least 0.8x).\", weight=0.5, gpus=('B300',))","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01UdHbi7CdU3fXFHAVx5SfLG","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9btCL8qNu1HRmdWzWzM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01761eA55c5deDZ8cUyTg2KX","name":"Bash","input":{"command":"cat starting_kernel.py && cat check.py && cat task_api.py && cat nodus_autosave.py | head -50","description":"Show starting kernel, check.py, task_api"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":9500,"cache_read_input_tokens":20899,"cache_creation":{"ephemeral_5m_input_tokens":9500,"ephemeral_1h_input_tokens":0},"output_tokens":16,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ba1368c9-f736-4a0d-928b-8a4f9bf51b38","timestamp":"2026-10-18T11:12:06.099Z","request_id":"req_011Cg9btBz4RBvww2NWGGSVC"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01761eA55c5deDZ8cUyTg2KX","type":"tool_result","content":"# Starting kernel: correct and deliberately simple. A preprocess writes delta = rowsum(dO * o) and each token's\n# sequence bounds; one program per (16 query tokens, query head) walks every key its rows can see in 16-key steps and\n# accumulates dq; one program per (16 keys, KV head) walks every query head of its group and every query row that can\n# see its keys and accumulates dk and dv. P is recomputed from lse with tl.dot; tiny tiles, no pipelining, S and dP\n# computed twice: much slower than the expert kernels.\nimport torch\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, CU, START, END, T, H, D: tl.constexpr, BT: tl.constexpr):\n    s = tl.program_id(0)\n    h = tl.program_id(1)\n    st = tl.load(CU + s)\n    en = tl.load(CU + s + 1)\n    rd = tl.arange(0, D)\n    for t0 in range(st, en, BT):\n        rt = t0 + tl.arange(0, BT)\n        m = rt < en\n        row = (rt.to(tl.int64) * H + h) * D\n        o = tl.load(O + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n        do = tl.load(DO + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n        tl.store(DELTA + h.to(tl.int64) * T + rt, tl.sum(o * do, 1), mask=m)\n        if h == 0:\n            tl.store(START + rt, tl.zeros((BT,), tl.int32) + st, mask=m)\n            tl.store(END + rt, tl.zeros((BT,), tl.int32) + en, mask=m)\n\n\n@triton.jit\ndef _dq(Q, K, V, DO, LSE, DELTA, START, DQ, sm_scale, T, H, HKV, W, D: tl.constexpr, BM: tl.constexpr,\n        BN: tl.constexpr):\n    i0 = tl.program_id(0) * BM\n    h = tl.program_id(1)\n    hk = h // (H // HKV)\n    ri = i0 + tl.arange(0, BM)\n    mi = ri < T\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    q = tl.load(Q + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n    do = tl.load(DO + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n    lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n    delta = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n    st = tl.load(START + ri, mask=mi, other=T)\n    lo = st\n    if W >= 0:\n        lo = tl.maximum(st, ri - W)\n    j_lo = tl.min(tl.where(mi, lo, T), 0)\n    j_hi = tl.minimum(i0 + BM, T)\n    dq = tl.zeros((BM, D), tl.float32)\n    for j0 in range(j_lo, j_hi, BN):\n        rj = j0 + rn\n        mj = rj < j_hi\n        krow = (rj.to(tl.int64) * HKV + hk) * D\n        k = tl.load(K + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n        v = tl.load(V + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n        vis = (rj[None, :] >= lo[:, None]) & (rj[None, :] <= ri[:, None]) & mi[:, None] & mj[None, :]\n        s = tl.dot(q, tl.trans(k))\n        p = tl.where(vis, tl.exp(s * sm_scale - lse[:, None]), 0.0)\n        dp = tl.dot(do, tl.trans(v))\n        ds = (p * (dp - delta[:, None])).to(tl.bfloat16)\n        dq = tl.dot(ds, k, dq)\n    tl.store(DQ + qrow[:, None] + rd[None, :], (dq * sm_scale).to(tl.bfloat16), mask=mi[:, None])\n\n\n@triton.jit\ndef _dkdv(Q, K, V, DO, LSE, DELTA, END, DK, DV, sm_scale, T, H, HKV, W, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    j0 = tl.program_id(0) * BN\n    hk = tl.program_id(1)\n    G = H // HKV\n    rj = j0 + tl.arange(0, BN)\n    mj = rj < T\n    rd = tl.arange(0, D)\n    rm = tl.arange(0, BM)\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    k = tl.load(K + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n    v = tl.load(V + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n    en = tl.load(END + rj, mask=mj, other=0)\n    hi = en\n    if W >= 0:\n        hi = tl.minimum(en, rj + W + 1)\n    i_hi = tl.max(tl.where(mj, hi, 0), 0)\n    dk = tl.zeros((BN, D), tl.float32)\n    dv = tl.zeros((BN, D), tl.float32)\n    for g in range(0, G):\n        h = hk * G + g\n        for i0 in range(j0, i_hi, BM):\n            ri = i0 + rm\n            mi = ri < i_hi\n            qrow = (ri.to(tl.int64) * H + h) * D\n            q = tl.load(Q + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n            do = tl.load(DO + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n            lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n            delta = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n            vis = (ri[:, None] >= rj[None, :]) & (ri[:, None] < hi[None, :]) & mi[:, None] & mj[None, :]\n            s = tl.dot(q, tl.trans(k))\n            p = tl.where(vis, tl.exp(s * sm_scale - lse[:, None]), 0.0)\n            dp = tl.dot(do, tl.trans(v))\n            ds = (p * (dp - delta[:, None])).to(tl.bfloat16)\n            dv = tl.dot(tl.trans(p.to(tl.bfloat16)), do, dv)\n            dk = tl.dot(tl.trans(ds), q, dk)\n    tl.store(DK + krow[:, None] + rd[None, :], (dk * sm_scale).to(tl.bfloat16), mask=mj[:, None])\n    tl.store(DV + krow[:, None] + rd[None, :], dv.to(tl.bfloat16), mask=mj[:, None])\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    start = torch.empty((T,), device=q.device, dtype=torch.int32)\n    end = torch.empty((T,), device=q.device, dtype=torch.int32)\n    _prep[(n, H)](o, do, delta, cu_seqlens, start, end, T, H, D=D, BT=16, num_warps=4)\n    _dq[(triton.cdiv(T, 16), H)](q, k, v, do, lse, delta, start, dq, D ** -0.5, T, H, HKV, window, D=D, BM=16,\n                                 BN=16, num_warps=4, num_stages=1)\n    _dkdv[(triton.cdiv(T, 16), HKV)](q, k, v, do, lse, delta, end, dk, dv, D ** -0.5, T, H, HKV, window, D=D,\n                                     BM=16, BN=16, 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\"\"\"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    timing: str = 'eager'\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)","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"0631e1a6-1fbe-4cc7-bd66-332766ba7f0c","timestamp":"2026-10-18T11:12:06.141Z","tool_use_result":{"stdout":"# Starting kernel: correct and deliberately simple. A preprocess writes delta = rowsum(dO * o) and each token's\n# sequence bounds; one program per (16 query tokens, query head) walks every key its rows can see in 16-key steps and\n# accumulates dq; one program per (16 keys, KV head) walks every query head of its group and every query row that can\n# see its keys and accumulates dk and dv. P is recomputed from lse with tl.dot; tiny tiles, no pipelining, S and dP\n# computed twice: much slower than the expert kernels.\nimport torch\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, CU, START, END, T, H, D: tl.constexpr, BT: tl.constexpr):\n    s = tl.program_id(0)\n    h = tl.program_id(1)\n    st = tl.load(CU + s)\n    en = tl.load(CU + s + 1)\n    rd = tl.arange(0, D)\n    for t0 in range(st, en, BT):\n        rt = t0 + tl.arange(0, BT)\n        m = rt < en\n        row = (rt.to(tl.int64) * H + h) * D\n        o = tl.load(O + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n        do = tl.load(DO + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n        tl.store(DELTA + h.to(tl.int64) * T + rt, tl.sum(o * do, 1), mask=m)\n        if h == 0:\n            tl.store(START + rt, tl.zeros((BT,), tl.int32) + st, mask=m)\n            tl.store(END + rt, tl.zeros((BT,), tl.int32) + en, mask=m)\n\n\n@triton.jit\ndef _dq(Q, K, V, DO, LSE, DELTA, START, DQ, sm_scale, T, H, HKV, W, D: tl.constexpr, BM: tl.constexpr,\n        BN: tl.constexpr):\n    i0 = tl.program_id(0) * BM\n    h = tl.program_id(1)\n    hk = h // (H // HKV)\n    ri = i0 + tl.arange(0, BM)\n    mi = ri < T\n    rd = tl.arange(0, D)\n    rn = tl.arange(0, BN)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    q = tl.load(Q + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n    do = tl.load(DO + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n    lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n    delta = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n    st = tl.load(START + ri, mask=mi, other=T)\n    lo = st\n    if W >= 0:\n        lo = tl.maximum(st, ri - W)\n    j_lo = tl.min(tl.where(mi, lo, T), 0)\n    j_hi = tl.minimum(i0 + BM, T)\n    dq = tl.zeros((BM, D), tl.float32)\n    for j0 in range(j_lo, j_hi, BN):\n        rj = j0 + rn\n        mj = rj < j_hi\n        krow = (rj.to(tl.int64) * HKV + hk) * D\n        k = tl.load(K + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n        v = tl.load(V + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n        vis = (rj[None, :] >= lo[:, None]) & (rj[None, :] <= ri[:, None]) & mi[:, None] & mj[None, :]\n        s = tl.dot(q, tl.trans(k))\n        p = tl.where(vis, tl.exp(s * sm_scale - lse[:, None]), 0.0)\n        dp = tl.dot(do, tl.trans(v))\n        ds = (p * (dp - delta[:, None])).to(tl.bfloat16)\n        dq = tl.dot(ds, k, dq)\n    tl.store(DQ + qrow[:, None] + rd[None, :], (dq * sm_scale).to(tl.bfloat16), mask=mi[:, None])\n\n\n@triton.jit\ndef _dkdv(Q, K, V, DO, LSE, DELTA, END, DK, DV, sm_scale, T, H, HKV, W, D: tl.constexpr, BM: tl.constexpr,\n          BN: tl.constexpr):\n    j0 = tl.program_id(0) * BN\n    hk = tl.program_id(1)\n    G = H // HKV\n    rj = j0 + tl.arange(0, BN)\n    mj = rj < T\n    rd = tl.arange(0, D)\n    rm = tl.arange(0, BM)\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    k = tl.load(K + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n    v = tl.load(V + krow[:, None] + rd[None, :], mask=mj[:, None], other=0.0)\n    en = tl.load(END + rj, mask=mj, other=0)\n    hi = en\n    if W >= 0:\n        hi = tl.minimum(en, rj + W + 1)\n    i_hi = tl.max(tl.where(mj, hi, 0), 0)\n    dk = tl.zeros((BN, D), tl.float32)\n    dv = tl.zeros((BN, D), tl.float32)\n    for g in range(0, G):\n        h = hk * G + g\n        for i0 in range(j0, i_hi, BM):\n            ri = i0 + rm\n            mi = ri < i_hi\n            qrow = (ri.to(tl.int64) * H + h) * D\n            q = tl.load(Q + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n            do = tl.load(DO + qrow[:, None] + rd[None, :], mask=mi[:, None], other=0.0)\n            lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n            delta = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n            vis = (ri[:, None] >= rj[None, :]) & (ri[:, None] < hi[None, :]) & mi[:, None] & mj[None, :]\n            s = tl.dot(q, tl.trans(k))\n            p = tl.where(vis, tl.exp(s * sm_scale - lse[:, None]), 0.0)\n            dp = tl.dot(do, tl.trans(v))\n            ds = (p * (dp - delta[:, None])).to(tl.bfloat16)\n            dv = tl.dot(tl.trans(p.to(tl.bfloat16)), do, dv)\n            dk = tl.dot(tl.trans(ds), q, dk)\n    tl.store(DK + krow[:, None] + rd[None, :], (dk * sm_scale).to(tl.bfloat16), mask=mj[:, None])\n    tl.store(DV + krow[:, None] + rd[None, :], dv.to(tl.bfloat16), mask=mj[:, None])\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    start = torch.empty((T,), device=q.device, dtype=torch.int32)\n    end = torch.empty((T,), device=q.device, dtype=torch.int32)\n    _prep[(n, H)](o, do, delta, cu_seqlens, start, end, T, H, D=D, BT=16, num_warps=4)\n    _dq[(triton.cdiv(T, 16), H)](q, k, v, do, lse, delta, start, dq, D ** -0.5, T, H, HKV, window, D=D, BM=16,\n                                 BN=16, num_warps=4, num_stages=1)\n    _dkdv[(triton.cdiv(T, 16), HKV)](q, k, v, do, lse, delta, end, dk, dv, D ** -0.5, T, H, HKV, window, D=D,\n                                     BM=16, BN=16, 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\"\"\"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    timing: str = 'eager'\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)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01761eA55c5deDZ8cUyTg2KX","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":2,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e83b72b2-09e9-4281-9e30-e188523d2b87"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":5,"estimated_tokens_delta":3,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"07385be2-517c-468c-a9a8-27b8dd7a2238"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":8,"estimated_tokens_delta":3,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"97a7a803-964c-40c2-9765-9f492fec26eb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":10,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"83392eae-4ce9-4a5d-b03f-7b3553cb0d89"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":18,"estimated_tokens_delta":8,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"5dd5dcbf-39f2-4e4c-b76b-f3c266792690"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"343f2284-87e4-41dc-8b69-5c6ced8d55df"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"be2d0fed-215d-4d72-ab7b-6eea5ce584eb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":23,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"f77299fd-d42d-477d-b56c-2996bbed097f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":199,"estimated_tokens_delta":176,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"50905ebe-3cc1-412e-ad7f-3535c57636f3"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9btKRHZhXmk6FL5aRtk","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I should check the static analysis rules to see what constructs are permitted.\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":7636,"cache_read_input_tokens":30399,"cache_creation":{"ephemeral_5m_input_tokens":7636,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"23b694fd-f50b-4895-ad06-249afa5a3191","timestamp":"2026-10-18T11:12:08.477Z","request_id":"req_011Cg9btK1UoUbDciqjrZJSS","thinking_duration_ms":1321,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9btKRHZhXmk6FL5aRtk","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Q2kKRHur7VREyRED16tm6F","name":"Bash","input":{"command":"cat static_check.py","description":"Show static_check.py"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":7636,"cache_read_input_tokens":30399,"cache_creation":{"ephemeral_5m_input_tokens":7636,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"04e7f85e-bdc4-4663-ad97-9046051aaebb","timestamp":"2026-10-18T11:12:08.479Z","request_id":"req_011Cg9btK1UoUbDciqjrZJSS"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Q2kKRHur7VREyRED16tm6F","type":"tool_result","content":"\"\"\"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"783e7262-a350-4914-865a-ee6582b64071","timestamp":"2026-10-18T11:12:08.505Z","tool_use_result":{"stdout":"\"\"\"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_01Q2kKRHur7VREyRED16tm6F","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9btVXFDUUAKxovXCLkQ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm noting this task defaults to Triton only, then reviewing the benchmark figures for FA4 CuTe DSL hd256 backward on B300 across different sequence and window configurations.\n\nComputing FLOPs for the 1x8K causal case, I estimate roughly 1.375 TFLOP total, which at 1518 us works out to about 906 TFLOPS—roughly 40% of B300's dense BF16 peak. I'm now weighing how feasible this is for Triton, since Triton's Blackwell support via tcgen05 MMA typically caps backward attention performance well below this for hd256 due to register and TMEM pressure.\n\nSince reward scales with log2 of geomean speedup rather than requiring parity, partial progress still counts, so I want to push as close as possible to the optimized reference. I'm sketching a design with separate dQ and dKdV kernels, where the dKdV kernel iterates over key blocks and recomputes the transposed scores and probabilities needed for the gradient computation.\n\nI'm running the TMEM budget math: with BN=128, the dK and dV fp32 accumulators alone consume all available TMEM columns, leaving no room for the score and probability tiles, so BN=128 doesn't fit. I'm now checking whether BN=64 works instead, since halving the block size should free up enough TMEM for everything.\n\nSeparately, I'm comparing FLOP counts: the split dK/dV kernel needs four matmuls while the dQ kernel needs three, totaling seven matmuls versus five for a fully fused kernel that computes everything in one pass using atomic fp32 accumulation for dQ across a two-CTA, 64-row KV tile scheme.\n\nTriton's standard fused-attention tutorial handles this by looping over Q blocks for dK/dV and running dQ in separate programs (recomputing or using atomic_add in fp32). I'm sketching what a Blackwell implementation for head_dim=256 would look like: for each KV block (size 64 or 128) and KV head, looping over Q blocks of size 64, computing S^T = K @ Q^T with K and Q tiles sized to fit SMEM budgets around 32-64KB depending on block size.\n\nFrom there dP^T = V @ dO^T, P^T recovered via the softmax rescaling with log-sum-exp, dS^T from P^T times the delta correction, then accumulating dV += P^T @ dO and dK += dS^T @ Q into fp32 TMEM accumulators, with P^T likely staged through SMEM since Triton's tcgen05 path expects the A operand there.\n\nFor dQ, I'm worried about the atomic-add approach: partial contributions dS @ K get atomically accumulated into a shared fp32 dQ buffer, and estimating the traffic for an 8K causal sequence with 64-sized blocks across 16 heads suggests roughly 8.6GB of atomic writes, which could become a serious bottleneck against B300's atomic bandwidth.\n\nI'm wondering whether using TMA's cp.reduce.async.bulk for dQ accumulation would be more efficient than plain atomic_add, since that's what FA4 relies on, and checking whether Triton's tensor descriptor API already exposes an atomic_add that maps to this hardware reduce path.\n\nWith a larger block size the atomic traffic drops substantially, and packing multiple query heads per KV head into the same CTA avoids atomics for dK/dV entirely since the whole group is covered. Alternatively, splitting into two separate kernels -- one for dQ and one for dK/dV -- removes atomics altogether at the cost of roughly 1.4x more FLOPs, which matches how the \"dedicated pair\" reference implementation handles it.\n\nRunning the numbers for the dedicated pair at 1774 us against the actual FLOP count puts the effective throughput around 1.08 PFLOPS, which is close to half of B300's dense BF16 peak.\n\nNow I'm thinking about what Triton can realistically hit here — forward attention at head dim 128 gets around 1.0-1.2 PFLOPS with warp specialization on Blackwell, but backward with head dim 256 is a harder target. I need to check whether this Triton version on sm_103 actually supports warp specialization, TMEM, and tcgen05 MMA before planning the dKdV kernel approach.\n\nWorking through the TMEM budget for the dKdV kernel, I realize with BN=128 KV rows and head dim 256, the dK/dV accumulators alone would consume all 512 columns of TMEM, leaving no room for the S^T and dP^T tiles — so single-CTA mode won't fit, meaning I likely need the 2-CTA split approach FA4 uses, where a pair of CTAs shares a 256-row tile with 128 rows each.\n\nActually for M=64, tcgen05 MMA likely only uses lanes 0-15 of each 32-lane subpartition, meaning the accumulator occupies half the lane range but the full column width in TMEM. I'm uncertain whether Triton exploits this to pack two M=64 accumulators into the same columns using separate lane halves, though I don't think it does that packing.\n\nWith BN=64, dK plus dV would consume the entire 512-column TMEM budget, leaving nothing for S or dP, which suggests Triton would either fail to allocate TMEM or fall back to registers — I'm not certain which. One workaround for head_dim=256 might be splitting the head dimension and computing dK/dV for each half separately.\n\nI'm wondering whether Triton keeps the accumulator loop-carried in TMEM via MMA pipelining, and whether a 64-row tiling could map onto a restricted lane layout to avoid redundant TMEM allocation, trying to recall the tcgen05 data path layout details for M=64.\n\nI'm now thinking about whether the dKdV kernel with BN=128 could fit dV and dK accumulators fully in TMEM, but that leaves no room for S^T and dP^T — so a single CTA can't do it that way. Maybe FA4's dedicated hd256 kernel splits across two CTAs or computes dV and dK in separate passes to avoid the TMEM overflow.\n\nGiven Triton's limited control, I'm sketching a GQA-packed fused approach: for each KV block and head group, compute S^T/dP^T/P^T/dS^T, accumulate dV and dK in TMEM, and atomically add partial dQ contributions to a global fp32 buffer — though I'm realizing dQ alone would need 256 TMEM columns, which combined with dK and dV may exceed capacity.\n\nThat confirms the fully fused kernel is TMEM-infeasible for head_dim 256 unless something spills to registers, so I'm considering splitting into a separate dQ kernel: loop over KV blocks computing S and dP in TMEM (BN columns each), derive dS in SMEM, then accumulate dQ in a 256-column TMEM buffer. Checking the budget with BM=128, BN=64 gives 384 total columns, which fits under the 512 limit, while BN=128 pushes it tighter.\n\nNow I'm checking SMEM feasibility against the 228KB B300 limit — with BM=128 and single-buffered K/V I land around 208KB, and with BM=64 and double-buffered K/V around 200KB, both tight but workable.\n\nFor GQA, packing group heads into the BM dimension (e.g. BM=128 as 64 tokens × 2 heads) could halve K/V SMEM traffic by sharing loads across heads, though it doesn't change total MMA FLOPs. I'm now estimating whether the dQ kernel is compute-bound by comparing per-block MMA FLOPs against K/V load bandwidth per SM across B300's ~148-160 SMs.\n\nWorking through the numbers, BM=128 gives roughly 11.6 TB/s aggregate L2 bandwidth demand, which seems workable against B200's L2 throughput, while BM=64 would double that pressure — confirming BM=128 with GQA packing is the better choice. I'm also starting to tally the exp2 operations needed per iteration for the softmax computation.\n\nS and dP both need to move from TMEM to registers before dS goes into SMEM as the A operand for the dQ matmul. Checking the dKdV kernel now: looping over KV blocks and heads, computing S^T, dP^T, then accumulating dV and dK in TMEM — but dV and dK together already consume 512 of TMEM, leaving no room, so a single-CTA Triton implementation looks infeasible for any BN.\n\nSplitting into separate dK and dV kernels doesn't help either — that raises the matmul count from 5 (fused) to 8, a 1.6x FLOPs increase, which is a bad tradeoff.\n\nI'm wondering if dV could avoid TMEM entirely by accumulating in registers instead, but any dot product still needs a temporary TMEM slot for its output, so the column pressure doesn't actually go away. Trying to split the dot over halves of the D dimension runs into the same bottleneck since each half still needs its own TMEM space.\n\nI'm estimating the cost of streaming dV and dK tiles out of TMEM through tcgen05.ld: loading 64x256 fp32 values per thread works out to a lot of loads and FADDs, and comparing that against the matmul time per iteration (~1050 cycles at 15 TFLOPS/SM) to see if the TMEM traffic becomes the bottleneck.\n\nNow I'm worried about MMA efficiency: Blackwell's tcgen05 MMA with M=64 may run at half throughput compared to M=128 since the tensor core unit processes 128 rows per instruction, so I want to restructure the dKdV kernel's matmuls to use M=128 wherever possible rather than M=64.\n\nMapping out the four matmuls (S^T=K Q^T, dP^T=V dO^T, dV+=P^T dO, dK+=dS^T Q) with BN=128 for M=128 makes dK and dV together take 512 TMEM columns, which doesn't leave room for S^T and dP^T — so that layout is infeasible. I'm now considering swapping the orientation to compute S=Q K^T with M=BM=128 instead, which changes what needs to be transposed for the dV accumulation.\n\nIn 2-CTA mode, the A operand splits across CTAs by rows while B splits by columns, so each CTA still ends up holding 128 rows worth of accumulator columns. That means the general backward kernel with 64-row KV tiles per CTA in 2-CTA mode gives each CTA dK/dV tiles of 64 rows × 256 columns — same total footprint, just distributed differently.\n\nI'm not fully certain how the TMEM layout handles M=128 with cta_group::2 (whether it's 64 rows per CTA across specific lane ranges), so I'll set that aside and focus on what's actually available in Triton 3.7.1 for Blackwell instead.\n\nTriton auto-selects tcgen05 MMA for sm_100+, offers warp specialization and TMA via tensor descriptors, but I'm unsure whether two-CTA mode is exposed directly through `tl.dot` — that level of control over TMEM and tcgen05 scheduling likely requires dropping down to Gluon, though the static checker restricts imports to just torch and triton.\n\nSo I'm sticking with standard tl-level kernel. I'm now wondering whether M=64 dot shapes trigger half-throughput tcgen05 instructions versus the full M=128 path, trying to recall how the PTX docs describe tcgen05 throughput scaling.\n\nThat's 512 TMEM columns, infeasible for hd256, which explains why hd256 needs its own design. Thinking through realistic Triton options: one approach keeps dK/dV MMAs all at M=64 (half rate, capping throughput around 50%), while another mixes full-rate M=128 for computing S and dP with M=64 only for the dK/dV accumulation steps, trading off TMEM usage against MMA rate.\n\nI'm trying to figure out whether Triton's TMEM allocator can pack M=64 accumulators efficiently or whether it just errors out when memory is insufficient, which would mean this option is infeasible too. Still weighing other alternatives like splitting across D or recomputing S in separate kernels, though the latter seems too costly given the extra matmuls required.\n\nThat's within the 512-column budget, good. With BN=64, every MMA in the loop runs at N=64 with M=128 instruction tiles, so I'm checking whether that's efficient throughput-wise — tensor core cycles scale roughly with N, so N=64 should amortize fine, though for small N the SMEM read bandwidth for the A operand could become the limiting factor instead.\n\nThis confirms SMEM-bandwidth is the real constraint at N=128 but eases at N=256. I'm second-guessing whether tensor cores actually read A from SMEM every instruction — if tcgen05 can source A from TMEM instead, that would explain why FA4 keeps P resident in TMEM for the PV product, and why Blackwell favors the 256-wide 2-CTA scheme where each CTA only reads half of B.\n\nWorking through the transposed dKdV layout, I realize the MMA shape forces N=64 for dK^T/dV^T, which lands squarely in SMEM-bound territory — maybe two-thirds of peak throughput. At this point I think theorizing further isn't productive; I should actually profile what Triton does in practice rather than keep reasoning about it abstractly.\n\nGiven the reward is log2(speedup), I note that even a correct kernel running at half the expert's throughput scores the same as an incorrect one, so there's real pressure to get meaningfully close to peak rather than just \"working.\" Since the starting kernel is probably 10-20x slower, my first concrete step should be running check.py with it to establish a baseline.\n\nI'm sketching the design: one program per query block handles dQ by looping over valid KV blocks, computing attention scores and the gradient terms (dP, dS) in registers, then accumulating into dQ through block-local matmuls, respecting causal and window bounds along the way.\n\nI'm checking the TMEM budget for both BN=64 and BN=128 tile sizes, sizing matmuls for S, dP, and dQ accordingly — BN=128 fills TMEM exactly with no room for double buffering, while BN=64 leaves headroom. Now I'm moving to designing the second kernel, which accumulates dK and dV instead.\n\nConsidering an alternative fused approach with atomic dQ updates (like the earlier FA2 Triton tutorial style), I work through the TMEM cost of holding dK^T, dV^T, S, dP, and a dQ partial simultaneously, and find it exceeds budget for BN=64/BM=64 unless the dQ partial is split. This makes me want to check how Triton's own fused attention backward tutorial handles Blackwell and what throughput it gets for head dim 128.\n\nI trace through the tutorial's two-stage backward kernel—dkdv and dq passes with different block sizes—looking at the matmul shapes involved in computing qkT, dv, and dk, and extending that analysis to head dim 256.\n\nWith D=256, the TMEM footprint for dk/dv accumulators plus the qkT and dpT intermediates exceeds capacity, so I'm wondering whether Triton has any fallback when TMEM is over-subscribed, or if I need to restructure—maybe avoiding TMEM accumulation for dV and instead accumulating partial results differently across the loop.\n\nBut this quickly hits a register budget problem: storing a 128×256 fp32 dV accumulator in registers requires far more registers per thread than is feasible even with many warps.\n\nI'm starting to think this register juggling isn't the right direction, and wondering if the FA4 approach of using a 2-CTA cluster with 64-row KV tiles per CTA might be something Triton could support instead.\n\nMaybe Triton packs a 64-row accumulator into TMEM using only half the lanes, possibly allowing two such accumulators to share the same columns—I should check the TTGIR output for the tensor memory allocation details to confirm. I want to start with concrete experiments: checking the GPU's SM count and the installed Triton version's feature set before digging further.\n\nGiven I have about two hours and have already spent ten minutes reading, I need to be efficient and should write a quick experimental kernel for dKdV with varying layouts to inspect TMEM usage and timing directly. Before jumping in though, I want to reason through the most promising design by estimating the achievable FLOPS against the expert's reported times for the causal and windowed cases.\n\nContinuing through the throughput estimates, I work out that windowed attention gives roughly 632 TFLOPS, the 2x4K GQA case roughly 701 TFLOPS, and now I'm estimating the packed-document case with variable sequence lengths between 1K and 3K, approximating the sum of squared lengths to get expected pair counts.\n\nFor the 4x2K case, 67M pairs translate to about 570 TFLOPS, and then I move on to the packed 16K window-1023 case, computing per-head pair counts by subtracting out the windowed overlap and multiplying by 8 heads to land around 117M pairs.\n\nSo the expert kernels land around 570-900 TFLOPS, meaning a Triton implementation would need excellent pipelining to compete — the best Blackwell forward kernels hit ~1 PFLOPS with warp specialization, though backward is harder. I'm setting a realistic target of 50-70% of expert performance and now sketching a kernel design that minimizes FLOPs and TMEM pressure using all-M=128 MMAs, fusing dQ computation via atomics or TMA-reduce with transposed dK/dV layouts, looping over KV blocks and query blocks per KV head.\n\nMapping out the memory layouts for S, dP, P, dS, and the dV^T accumulation...\n\nStill working through the matmul operand placements...\n\nAdding up TMEM usage across all these ops gets me to 640 columns, which overshoots the 512 limit, so I need to reconsider the tile sizes — shrinking kv or q blocks causes other shape problems, so I'm exploring whether dQ's partial accumulation can live somewhere else instead.\n\nSplitting dQ into two halves of 128 columns each brings total TMEM usage to exactly 512, but this hinges on whether Triton's allocator can reuse the TMEM for S and dP once they're read into registers, and whether its liveness analysis handles sharing across the two dQ dot calls — especially once async MMA pipelining extends those buffer lifetimes.\n\nSwitching to estimating atomic traffic for design F, I'm realizing the numbers are brutal: roughly 8.7 GB of fp32 atomic writes for a 1×8K causal, 16-head case, which even at 10 TB/s L2 throughput would cost around 870 microseconds — a dealbreaker. That pushes me toward how FA4's general kernel instead uses TMA bulk reduce-add with a 64-row KV tile per CTA and a 2-CTA pairing to effectively double the KV tile size.\n\nComparing approaches: the separate dQ kernel recomputes S and dP (2 matmuls) plus dQ (1), while the dKdV kernel handles S, dP, dV, dK (4 matmuls) — 7 total vs 5 fused, so 40% more FLOPs but avoids atomics. I'm also weighing whether writing dS to global memory and reusing it would help, but at ~1GB for 8K causal that's roughly 2GB of traffic (write+read), costing around 270us at HBM bandwidth versus just recomputing S.\n\nIf the memory traffic overlaps well with compute, it shouldn't sit on the critical path — the dKdV kernel can store dS asynchronously while computing, and the dQ kernel can load it asynchronously too. Running through the dQ kernel's arithmetic intensity per kv-block tile, I'm getting roughly 0.56 us of compute per iteration against the HBM bandwidth needed to stream in the dS tile, which suggests the bandwidth requirement per SM is still very manageable across the full SM count.\n\nGiven that, the dQ kernel looks memory-bound near HBM bandwidth limits (~135 us for 1GB), while the dKdV kernel writes a similar amount but has much more compute to hide it behind (~1100 us), so that part overlaps cleanly. Adding it up, my estimate comes out well under the expert's reported 1518 us total, so I want to double-check where the discrepancy comes from.\n\nNow I'm thinking through how to actually store dS for an 8K causal sequence across 16 heads efficiently -- it needs a block-sparse layout since only the causal half of the (q-block, kv-block) grid is live, and I need to work out the indexing for that, plus how windowed/variable-length attention complicates things further.\n\nFor a dense tile layout the memory adds up fast: 8K sequence with 128x128 tiles across 16 heads is already around 2 GB, and packed 16K sequences would push it to 8 GB per allocation. That's within the GPU's 275 GB budget, but repeated 8 GB torch.empty calls per step worries me about allocator overhead and fragmentation.\n\nA better approach is indexing by relative offset instead of absolute, so I only store the span of kv blocks actually attended to per q block rather than the full dense grid. This shrinks things considerably -- 16K packed sequences drop to roughly 1.6 GB and 8K single sequences to around 2 GB, with the windowed case needing only about 10 blocks of span. I'm now second-guessing whether this is actually cheaper than just recomputing.\n\nComparing FLOPs directly: recomputing dQ costs three matmuls (~0.825 TFLOP for 8K causal, roughly 1180 us at 700 TFLOPS), whereas reusing stored dS only needs one matmul plus an HBM read (~393 us compute plus ~135 us overlapped read for 1GB) -- so the stored-dS approach looks meaningfully faster, though I still need to account for the cost of writing dS out in the first place.\n\nComparing alternatives, the 5-matmul fused approach with dQ atomics pushes several GB of atomic traffic, while storing dS and reading it back is only 2GB of plain HBM traffic and avoids extra register pressure in the dKdV kernel, which makes it the more attractive option overall.\n\nThat's a separate allocation though, which is fine. Only P matters for dV in the dKdV kernel, not dQ.\n\nNow I'm working through the TMEM layout problem for the dKdV kernel itself, considering orientation choices for S and dP tiles — specifically a \"kv-major\" layout where S^T = K Q^T gives a [BN, BM] tile, so dV accumulates as P^T @ dO.\n\nWith BN=128, the TMEM budget across S^T, dP^T, dK, and dV exceeds the 512-column limit, so that orientation won't fit. I'm now checking orientation B instead, where S = Q K^T is [BM, BN] and dV^T = dO^T P is [256, BN], which uses 6×BN columns of TMEM — at BN=64 that totals 384 columns, which fits.\n\nNow I'm working through the memory layout requirements for each MMA at BN=64: verifying that S and dP use K-major operands from SMEM (since the contraction dimension is contiguous), and that dV^T's computation needs dO transposed with contraction over the query rows, requiring an MN-major layout for the bf16 A operand.\n\nWith N=64 across all MMAs, I'm worried the bottleneck becomes SMEM bandwidth — each instruction reads roughly 4KB from A plus 2KB from B per 32-cycle step, giving about 192 bytes/cycle, and I'm trying to recall whether Blackwell's tensor core SMEM read bandwidth can actually sustain that given the 2-CTA mode splitting B reads in half when M=256.\n\nThen for the mixed orientation case, I'm checking whether A operands can come directly from TMEM rather than SMEM for the dV accumulation step, since Triton may support TMEM-resident A operands in tl.dot which would sidestep the SMEM bandwidth issue entirely.\n\nThat only works if one of dK/dV isn't in TMEM, so orientation B with BN=64 looks like the only fit for 1-CTA TMEM with M=128 MMAs, using 384 of 512 columns and leaving room for double-buffered S/dP. Checking the SMEM budget there, double-buffering Q and dO blows past capacity, so I'd need single-buffering, which lands around 224KB total including K, V, P, and dS.\n\nThat's right at the 227KB ceiling, meaning no room to double-buffer Q/dO -- so TMA loads of the next block can't fully overlap with current MMAs, though a partial overlap after the dK^T MMA finishes using Q might work, though Triton's num_stages=1 pipeliner won't prefetch that way. Dropping BM to 64 instead makes the S tile too small to be efficient. Estimating the MMA throughput for BM=128, BN=64 per q-block iteration, the total MAC count works out to roughly 2048 clocks at peak.\n\nLoading Q+dO at 128KB per iteration implies around 18 TB/s of L2 bandwidth demand across all SMs, which seems high relative to what I'd guess B200's L2 can sustain, maybe 20-30 TB/s, so it's a meaningful chunk. GQA complicates reuse since different heads in a group pull different Q/dO data with no sharing. Comparing to orientation A with larger BN=128, the bytes-per-MAC ratio would be halved versus BN=64, which explains why FlashAttention favors large BN for the dK/dV computation.\n\nI'm also considering splitting kv rows across two CTAs in a cluster, though that 2-CTA cluster feature probably isn't exposed in Triton's tl interface, and whether dV/dK accumulation could stay in registers instead of TMEM — but Blackwell forces MMA outputs into TMEM, so that's not an option. Another angle: splitting the head dimension of dK/dV across two CTAs where each computes the full S^T and dP^T redundantly but only half the dK/dV columns, and I'm working out the MAC counts per CTA per iteration for that scheme.\n\nI'm not confident Triton's TMEM allocator can interleave two separate M=64 allocations into shared columns, and without clear documentation I'd need to just experiment. Given the limited time, I should stop theorizing and pick a design quickly, possibly leaning toward whatever structure resembles the Triton tutorial's known-working approach.\n\nFor the orientation question, I should actually just test both A and B for hd256 with BN=64/128, check compile success and throughput on the 1x8K shape. For the dQ side, I'm weighing a separate recompute kernel against storing dS tiles — with stored dS, the dQ kernel would loop over kv blocks accumulating dQ += dS_tile @ K_tile, with dimensions M=128, N=256, K=64.\n\nWorking through the bandwidth math: K tiles get reused across q blocks and heads so they mostly hit L2, but dS is streamed fresh from HBM each time, which comes out to roughly 8.8 TB/s aggregate demand — right at or above B300's 8 TB/s HBM bandwidth. So this dQ kernel would end up HBM-bound rather than compute-bound.\n\nActually checking against the matmul compute time for 8K causal (~393 us at 700 TFLOPS) versus the HBM transfer time (~135 us), compute dominates, so it's fine after all — not actually HBM-bound in practice. I also want to verify where the dS writes land: since L2 is much smaller than the 1 GB of dS data, those writes mostly spill to HBM, but recomputing the per-SM write bandwidth for the dKdV kernel gives about 2.2 TB/s, well within budget.\n\nPutting together the full timing estimate: with four matmuls totaling 1.1 TFLOP for the dKdV kernel, a Triton kernel hitting ~600 TFLOPS would take about 1833 us, plus another 400-500 us for the dQ kernel, landing near 2300 us total versus the expert's 1518 us — roughly 0.66x, meaning Triton would need the dKdV kernel to reach 900+ TFLOPS to be competitive. I'm now considering whether a fused single-kernel approach that accumulates dQ directly could close this gap, and thinking through FA4's layout with 64-row KV tiles per CTA pair and how much TMEM that configuration would require.\n\nNow I'm working through the TMEM budget for orientation B: S and dP each take 64 columns, dV^T and dK^T together need 256, totaling 384 columns used out of some fixed budget, leaving only 128 columns free — not enough room for a dQ partial accumulator that needs 256, so I need to figure out how to make that fit or split the work differently.\n\nCompared to the stored-dS approach needing only 2GB HBM traffic for 8K causal, that's clearly better. But I need to weigh the extra kernel launch overhead and the dQ kernel's own efficiency — it's a batched block-sparse GEMM with 1024 programs for 8K causal, and causal imbalance means work varies heavily across q-blocks, so scheduling longest-first matters. Let me reconsider the overall approach before going further.\n\nActually, stored dS is clearly fewer FLOPs than recomputing, so I'll go with that. The one correctness concern is rounding tolerance: dS can be rounded once to bf16 as a tensor-core operand, and since the same rounded value gets reused for both dK and dQ computations, that's consistent and fine. Bf16 also preserves fp32's exponent range, so storing small dS values shouldn't cause underflow issues.\n\nNow I'm sketching the dKdV kernel in Triton, working through orientation B where each program handles a KV block, loading K and V tiles, then looping over query blocks within a group to compute scores, apply the softmax exponential, and accumulate gradients for dV and dK.\n\nI need to mask p for causal diagonal blocks, window boundaries, and sequence boundaries, but only for boundary blocks—interior blocks can skip masking by splitting loops. At the end, I transpose and scale dkT to store, and I'm weighing two orientations for the dv accumulation before deciding to just implement both and benchmark which is faster given limited time.\n\nI should check whether Triton 3.7.1 on sm_103 (B300) supports tcgen05, then set up the dKdV experiment using TMA tensor descriptors for loading Q and dO, treating them as 2D tensors with the right block shapes and checking that the TMA box's inner dimension fits within the swizzle size constraint.\n\nFor causal handling with variable-length sequences, I'll need to figure out which q-block ranges actually see each kv-block window.\n\nThe tricky part is that the dKdV kernel's q-blocks are aligned relative to the kv block start rather than globally, which works fine there since loads use arbitrary row offsets, but it creates a mismatch for the dS storage and dQ kernel which need consistent global tiling. I should define q-blocks of size 128 and kv-blocks of size 64 starting from the sequence start to keep tiling consistent across kernels.\n\nFor visibility between a q-block and kv-block, I need to check both the causal constraint and the window constraint to determine which tile pairs are relevant. Each dKdV program maps to a (sequence, kv-block, kv-head) triple, so for variable-length sequences I need a prep kernel that precomputes per-sequence block offsets rather than scanning cu_seqlens inline, since sequence counts could be large in some edge cases.\n\nSince cu_seqlens lives on device and the exact number of blocks isn't knowable on the host without a sync, I'll size the grid using an upper bound (total tokens divided by block size plus number of sequences) and have each program look up its actual sequence range from a precomputed block table.\n\nFor the dS storage layout, I'm indexing by the global q-block number across all sequences, then tracking which kv blocks are actually visible for each q-block given causal or windowed attention constraints — bounding the number of visible kv blocks per q-block so I can allocate a fixed-size buffer.\n\nEstimating the memory: for 8K sequences this comes to roughly 2GB, and for 16K packed sequences with a 3K max_seqlen, around 1.67GB — manageable since the caching allocator reuses this workspace across calls rather than reallocating each time. I'm also considering a more compact per-head layout, though it ends up being roughly the same total size.\n\nFor the dKdV kernel, I'm designing TMA descriptor-based stores for dS tiles into a 2D view, with each tile placed at a computed row offset based on query block, head, and kv block indices. The dQ kernel then loops over kv blocks per query block and head, loading dS and K tiles via TMA, accumulating the dot product in TMEM, and finally storing the scaled dQ result.\n\nThis is a straightforward GEMM that Triton should pipeline well with several stages, and the shared memory budget fits comfortably. I'm also checking edge cases: K rows crossing sequence boundaries are handled because TMA zero-fills out-of-bounds rows and masked dS entries are exactly zero, so those partial-block contributions vanish correctly.\n\nI'm concerned about overflow though — if dO and V values are extremely large (like 1e20), the dot product for dP could overflow fp32 to infinity, making dS become 0×inf=NaN at masked positions, but the fp32 reference computation would likely hit the same overflow issue.\n\nTo guard against this, I'll explicitly zero dS at masked positions using tl.where rather than relying on multiplying by zero. Now I'm working through the dKdV kernel's block structure, figuring out which query blocks overlap each key-value block given the sliding window bounds.\n\nSince masked rows contribute zero to dV^T regardless, that part is safe. For the dK/dV kernel I need to load per-head lse and delta vectors for each row tile, then compute P using a base-2 exponential with the scale factor folded in — precomputing lse scaled by log2(e) alongside delta in the prep kernel to avoid extra rounding.\n\nFor the actual matmul orientation, I'm laying out the four dot products: S from q and k transpose, dP from do and v transpose, dV^T from do transpose and the bf16 probability matrix, and dK^T from q transpose and the bf16 ds matrix — noting that a 256-row dot gets split into two 128-row instructions by Triton.\n\nI'm now checking the TMEM layout for the 256x64 dV^T accumulator (two 128-row blocks, 128 columns total), then considering an alternative orientation where S^T, dV etc. use M=64 instead, and comparing how that affects TMEM column counts when BN=128.\n\nSo BN=64 seems necessary since BN=128 overflows TMEM columns. For orientation B with BM=128, BN=64, I'm tallying the MMA costs per iteration (S, dP, dV^T, dK^T, all N=64) landing around 8.4M MACs, roughly 2048 clocks at peak but closer to 3072 if SMEM-bound. I'm also estimating the Q+dO load bandwidth needed from L2 across all SMs to see if that becomes the bottleneck instead.\n\nI'm checking whether GQA sharing of K/V blocks across multiple query heads could help, but since Q/dO still differ per head there's no real reuse there. I also tried packing two kv-halves per program to share loads, but that doubles the TMEM footprint for dV^T/dK^T and leaves no room for S/dP, so that's infeasible too — leaving orientation B as L2-bandwidth-heavy and orientation A still blocked by TMEM limits. I briefly consider whether packed lower-precision TMEM accumulators could help, but accumulators need to stay fp32 for numerical accuracy.\n\nNow I'm working out TMEM capacity math: at 512 columns × 128 lanes × 4 bytes, the 256KB budget is exactly consumed by dK+dV for 128 kv rows at head-dim 256, leaving no slack, whereas the general FA4 kernel's 64-row, 2-CTA split only needs 128KB per CTA.\n\nI'm comparing that to a 1-CTA Triton layout with BN=64, which lands at the same 128KB footprint for dK^T+dV^T, so the memory cost is equivalent — the real distinction comes from SMEM bandwidth: FA4's 2-CTA M=128 MMA splits the B operand per CTA, cutting reads per CTA, while the 1-CTA M=128/N=64 version reads a full 6KB per MMA instruction every 32 cycles at full rate.\n\nRecalling that tcgen05 bandwidth note — a 128×256×16 MMA reads 12KB total over 128 cycles for 96 B/clk, which fits fine, but a 128×64×16 MMA crams 6KB into 32 cycles for 192 B/clk, blowing past the 128 B/clk SMEM limit. Since orientation B relies entirely on N=64 MMAs, that caps throughput around two-thirds of peak, so I'm now trying to pin down B300's actual dense BF16 peak to translate that into PFLOPS.\n\nGiven the expert's measured 906 TFLOPS, the N=64 bandwidth cap likely isn't the true bottleneck — Triton's pipelining and latency hiding are probably the real constraint. I'm also considering whether computing dV directly rather than transposed changes which operand comes from TMEM versus SMEM.\n\nNow I'm estimating the per-element elementwise cost for the softmax/gradient computation in a 128x64 tile with 4 warps: each thread handles one row, doing an FMA for scaling, an exp2, a subtraction for delta, a multiply, boundary masking, and packed bf16 conversion before storing to shared memory.\n\nWorking out the total instruction count, this comes to roughly 500-600 cycles per iteration versus 2048-3072 cycles for the MMA itself, so the elementwise work adds about 20-25% overhead on top of matmul time if it isn't overlapped—meaning without warp specialization or pipelining, total time per iteration would be around 1.25-1.3x the pure MMA cost.\n\nNow I'm tracing how Triton's software pipelining could hide this cost on Blackwell: using staged ranges lets it prefetch the next Q/dO tiles via TMA while async tcgen05 MMAs run, so within one iteration the S and dP matmuls issue concurrently, softmax overlaps with the dP wait, and then dS gets stored to shared memory before the dV/dK matmuls fire off asynchronously for the next round.\n\nGiven softmax is slower than dP's MMA, the tensor core could stay nearly saturated if next-iteration S/dP get issued early enough. Checking TMEM reuse confirms it's safe since prior S/dP values are already consumed into registers, but the SMEM buffers for P/dS are trickier — the next iteration's softmax write must wait until dV/dK MMAs finish consuming the current buffers, which naturally happens by the time the in-order queue reaches that point.\n\nBut the bigger issue is Q/dO loading: double-buffering them in SMEM would blow the capacity budget alongside K/V, so with only single buffering, loading Q_{i+1}/dO_{i+1} can't start until the dK_i/dV_i MMAs finish using the current Q_i/dO_i — and TMA load latency is hundreds of cycles, creating a real bubble each iteration. This points to SMEM capacity being the fundamental bottleneck for this orientation.\n\nOne idea is splitting Q/dO loads into D-chunks to shrink the footprint, but Q needs to stay fully resident through the whole iteration since it's also used later for dK^T accumulation across all columns. I'm also second-guessing whether BM=64 actually forces half-rate MMA — need to check the UMMA documentation on M=64 tile behavior.\n\nI recall M=64 MMA has the same latency as M=128, so it's genuinely half throughput, confirming BM=64 is costly. With orientation B at BM=128, the memory budget (Q, dO, K, V, P, dS) eats 224KB, leaving no room for prefetching, so I'm now checking whether orientation A with BN=128 and BM=64 could keep M=128 throughout.\n\nWorking through the shapes, S^T, dP^T, dV, and dK all land on valid M=128 configurations, but TMEM usage sums to 640 which overflows, and SMEM still totals 224KB for a single stage with no prefetch room. Everything seems just as tight as before.\n\nI'm considering FA4's 2-CTA approach to halve per-CTA SMEM, and wondering if K and V even need to stay resident given they're used every iteration. I'm sketching a cleverer MMA ordering with BN=64, BM=128 where loading Q and dO in halves lets me overlap stages -- issuing dV^T before dK^T so dO frees up after dV^T completes and Q frees up after dK^T, which could let the next iteration's S computation start earlier.\n\nBut even with this reordering, TMA latency from L2 (~600-1000 clks) outpaces a single MMA's duration (~512-768 clks), so I only get partial overlap -- single-buffered Q/dO loading leaves roughly a 1000-clk bubble per ~3000-clk iteration, capping utilization around 75%. And Triton can't do this kind of fine-grained scheduling anyway since it waits for all MMAs in an iteration to finish.\n\nFP8 is out due to precision requirements. Checking SMEM capacity on B300 (228 KB per SM, 227 KB max per block): with orientation B at BM=128, BN=64, the Q, dO, K, V, P, and dS buffers sum to 229376 bytes, which just barely fits single-buffered with no room for prefetch. I'm now considering whether P and dS could live in TMEM instead -- but in orientation B they serve as the B operands for dV^T and dK^T, which must come from SMEM, so that won't work; checking if orientation A offers a way around this.\n\nI'm leaning toward just implementing the kernels and empirically testing configurations rather than continuing to reason through the MMA layouts theoretically -- benchmarking will be more conclusive than further speculation.\n\nFor v1, the plan is: a prep kernel computing the delta term from o·do and handling block tables for variable-length sequences, a dKdV kernel using orientation B with dS tiles, and a dQ kernel that does a GEMM over those stored dS tiles. I'm weighing whether to instead simplify by having the dQ kernel recompute rather than store dS, since keeping the dS tile indexing consistent across kernels adds complexity.\n\nReconsidering the recompute approach though, I'm running into the same SMEM bottleneck as before — Q and dO plus K/V staging eats up over 200KB, forcing single-stage prefetch. Whereas the stored-dS dQ kernel avoids needing Q/dO entirely, just dS and K tiles per stage, totaling under 50KB and allowing four stages of pipelining — so it's the better choice both for FLOPs and memory.\n\nFor the dKdV kernel with BM=64, I'm checking the MMA shapes: S and dP run at half rate (M=64), while dV^T and dK^T hit full rate at M=256. SMEM works out to roughly 208K with two stages of Q/dO prefetch plus K, V, P, and dS, which allows proper pipelining.\n\nTallying the cycles, the half-rate S/dP matmuls cost ~1024 clks and the full-rate dV^T/dK^T ones cost ~512-768 clks depending on SMEM boundedness, giving ~1800 clks total against a theoretical peak of ~1024 clks — about 57% efficiency, which isn't great.\n\nI'm now considering whether batching S computation across two GQA heads sharing the same K block could help, stacking Q rows from both heads into a 128-row matmul against K^T.\n\nThe downstream dP, dV^T, and dK^T accumulations all work out correctly when contracting over this stacked 128-row tile, giving well-shaped matmuls throughout. The remaining question is how to build a [128, 256] tile in Triton from two separate [64, 256] loads via adjacent TMA loads into SMEM.\n\nViewing Q as a 3D tensor and loading a box with interleaved rows gives a natural reshape into the 128-row stacked tile, with row index mapping back to (t, h). This matches the GQA head-packing approach from PR #2967, where the softmax lse/delta values and masking need to respect that same interleaved indexing.\n\nI'm weighing whether the reshape merging the two leading dims stays trivial in shared memory or forces a register round-trip, and considering alternatives like joining two separate loads or just flattening Q into a 2D [T*Hq, 256] view to sidestep the reshape issue entirely.\n\nThat 3D box actually works out nicely—the SMEM result gives 128 contiguous rows of 256 elements, which is just a standard 2D tile for the MMA operand, so I could load it directly and reshape in Triton. I'm not sure whether Triton's layout inference supports a load→reshape→dot path into shared memory, so I'll need to test that empirically.\n\nBut thinking through the dKdV kernel more carefully, I realize the head-pair packing doesn't actually reduce SMEM usage—the tile size is still M=128, D=256, so each Q or dO tile is 64KB, totaling 128KB per stage just like before. The real constraint is fixed by that tile dimension regardless of how heads are packed, so I need to look elsewhere, maybe at whether K and V need to stay fully resident across iterations.\n\nDouble-buffering Q and dO would push SMEM to 320KB, which won't fit. I'm considering splitting Q along the D dimension into two halves so each can potentially be managed separately across the S and dK^T matmuls, but Triton doesn't give fine enough control over buffer lifetimes to exploit that, so I'm now thinking about just shrinking the Q/dO tile size itself.\n\nFor a 2-CTA FA4 layout with head dim 256, splitting the M=128 query tile across two CTAs means each CTA only needs half the Q and dO rows, bringing per-stage storage down to 64KB and making double buffering feasible alongside the resident K/V.\n\nFor Triton's single-CTA model, the choices boil down to accepting bubbles with M=128 tiles and single-buffered Q/dO, or dropping to M=64 tiles so MMAs run at half rate but double buffering becomes possible. I'm also considering a third option with asymmetric BN=128/BM=64 tiling.\n\nTesting orientation (d) where dO isn't kept resident but instead used directly in the dP and dV^T computations, and exploring whether K/V SMEM can be trimmed since V still needs to be resident every iteration regardless. Now I'm trying to estimate the bubble cost for option (a) by working out the iteration MMA time in clock cycles.\n\nReordering this way shrinks the bubble to maybe 100-300 clks, but softmax still stalls the tensor core for ~500 clks with nothing else scheduled, landing overall utilization around 75-80% in the best case — and achieving that requires scheduling precision Triton's standard loop abstraction can't easily express without warp specialization.\n\nEstimating a basic Triton loop's per-iteration timeline, I'm seeing load latency, S/dP matmuls, softmax, and dV/dK matmuls only partially overlapping, putting utilization around 50%. Switching to BM=64 with double-buffered prefetching changes the matmul shapes and tile sizes, so I'm reworking the timeline estimate for that configuration.\n\nComparing the two approaches side by side, their per-MAC cycle costs end up roughly similar. That pushes me to consider warp specialization in Triton 3.4+, which splits the loop into separate load, MMA, and softmax partitions on Blackwell, decoupling MMA issue from softmax work for better overlap -- this seems to be the key to how Triton's flash attention forward achieves strong performance there.\n\nWith single-buffered Q/dO, the load partition still waits on dK^T MMA completion before fetching the next tile, so latency bubbles shrink but don't vanish entirely. I'm also sizing up the dQ GEMM kernel: a single dS@K matmul at M=128, N=256 with a 4-stage pipeline should land around 70-80% of peak throughput on Blackwell.\n\nFor an 8K causal case, that's roughly 230us of compute at ~1.2 PFLOPS, largely overlapped with an HBM read of dS that works out to about 1.07GB after accounting for per-head-pair sizing and diagonal tile overhead.\n\nWriting out dKdV requires another 1.07GB, overlapped with compute, and the dKdV matmuls themselves total 1.1 TFLOP — at 700 TFLOPS that's about 1570us, giving a total around 1800-1900us versus the expert's 1518us, so roughly 0.8x efficiency (worse at lower achieved TFLOPS, down to 0.62x at 500 TFLOPS).\n\nI'm also considering skipping dS storage entirely and computing dQ via fp32 atomics inside the dKdV kernel, but the atomics traffic balloons to 8.6GB, which is far too slow, so that approach is out.\n\nThinking through GQA grouping for dKdV: having each program handle a (kv block, kv head) pair and loop over all G query heads avoids atomics for dK/dV entirely. The load is uneven though — for 8K causal with BM=128, kv block 0 is touched by all 64 q-blocks across 2 heads (128 iterations) while the last kv block sees just 1×2, so across 1024 total programs on 148 SMs that's about 7 waves, and scheduling the heavy kv blocks first should balance this out reasonably well via LPT-style scheduling. I'm now working out the equivalent program count for the Hkv=2, Hq=16 case across two 4K sequences.\n\nI'll set that imbalance issue aside for now and move to writing v1. The plan is to split heads into groups with partial dK/dV accumulation in fp32, possibly via atomics plus a final conversion pass, but that can wait — starting with a prep kernel that computes the delta term (sum of o*do over the head dimension) in fp32, gridded over time blocks and heads, along with block table setup.\n\nFor the dKdV kernel I need a table mapping each kv block to its sequence and position, but computing this requires a device-side cumsum over variable sequence lengths, so a linear scan per program is likely cheap enough given the small number of sequences expected. The simplest robust approach is a single-program prep kernel that loops over all sequences and writes out block table entries.\n\nFor the dKdV grid, I need a total program count of cdiv(T,64)+n, each loading its table entry and returning early if past the count. For ordering, I want LPT scheduling so programs doing the most work run first — since causal kv-block work is proportional to how many q rows follow it, within a single sequence the natural ascending block order already gives descending work, so for packed sequences I just need to interleave sequence-major rather than sort explicitly.\n\nI'll avoid computing global ranks by distance-to-sequence-end for now (that would need an O(N²) prep kernel over ~256-512 blocks) and instead go with a simpler v1: sequence-major ordering with kv heads as the fastest-varying grid dimension.\n\nFor the dKdV kernel (orientation B), I'm weighing whether to use plain pointer-based loads or TMA descriptors — on Blackwell, TMA should win since it frees up registers and enables async loads, so I'll look at using `tl.make_tensor_descriptor` with `triton.set_allocator`, or possibly a host-side TensorDescriptor instead.\n\nSince importing from triton.tools isn't allowed, I'll go with the device-side `tl.make_tensor_descriptor` and allocator approach — each program writes a small descriptor to global scratch, which costs a bit but should be fine, and `triton.set_allocator` with a torch.empty-based lambda should pass the static checks. Then for the dQ kernel I just need a GEMM over the stored dS values, so now I'm setting up the constants — D=256, with BN=64 for the kv block and BM=128 for the q block — before writing the actual kernel code.\n\nWorking out the dKdV kernel tiling now: tiles are indexed by (a, b) where a covers q rows in chunks of 128 and b covers kv rows in chunks of 64 starting from s0, matching the dQ kernel's 128-row q blocks for consistency. For a given kv block b, I'm figuring out which q blocks can see it — the lower bound is b // 2, and the upper bound depends on whether it's causal-only or has a sliding window, which shifts the range further out.\n\nNow for the dQ kernel, I'm computing the symmetric case: given q block a, the kv blocks b range from a lower bound (0, or shifted left by window W) to an upper bound of 2a+1, capped by the total number of kv blocks. Then I'm working out the storage layout for the dS buffer, indexing tiles by global q block, head, and a local kv offset relative to b_lo(a), with MAXKB as the max number of kv blocks any q block can reference.\n\nThis confirms MAXKB = floor(W/64) + 3, taking the min with the ceiling division bound for max_seqlen. Now I'm sizing the dS buffer by computing global q-block offsets per sequence and estimating memory for an 8K sequence case, noting that causal masking means only about half the tiles are actually needed.\n\nI'm considering a triangular indexing scheme to avoid wasted tile allocations for causal attention, but the dense MAXKB layout might just be simpler and good enough given the memory budget at these shapes, especially since the caching allocator reuses memory across calls. I'm leaning toward sticking with the simpler approach rather than optimizing further.\n\nWorking through the math, for causal attention the tile count scales roughly with total_tokens × max_seqlen, giving around 4.4GB for a 16K sequence versus 8.5GB dense — a meaningful but not dramatic savings. I decide to just implement the simple dense layout first and revisit the prefix-sum optimization only if it's actually needed.\n\nI check the dS write bandwidth in the dKdV kernel (16KB tiles per iteration, negligible relative to compute time) and confirm the delta computation uses fp32 accumulation matching the reference tolerance, so precision should be fine.\n\nFor masking in orientation B of the dKdV kernel, I work through the visibility condition: entries need j ≤ i for causality plus both indices within the sequence bounds. Since kv rows beyond the sequence end belong to a different program and their dK/dV aren't written here anyway, the masking only really matters for correctness of the P values feeding into dV, not for avoided stores.\n\nI'm adding window constraint i-j ≤ W to the mask, and deciding that for simplicity in the first version I'll always apply masking even on non-boundary tiles rather than special-casing diagonal/window/sequence-end tiles, accepting the extra per-element cost for now and optimizing later. Then I'm writing the matmul code computing S and dP via dot products between q/k and do/v, followed by converting S to probabilities with exp2 scaling.\n\nWriting attention backward dots...\n\nThen I'm sketching the dQ kernel structure, looping over blocks and accumulating dot products of ds and k tiles into the query gradient accumulator.\n\nFor the final store, I realize TMA stores can't be used safely across internal sequence boundaries since they'd overwrite the next sequence's rows — only the last sequence is safe since TMA clips at T. So I need masked pointer stores for both dQ and the final dK/dV writes to avoid race conditions.\n\nThinking through edge cases: rows extending past the sequence boundary still load correctly because the corresponding dS or P values are zero, so they contribute nothing to the accumulation even if loaded. Same logic applies to lse/delta loads beyond T, which I handle with masked loads defaulting to zero. KV rows before s0 are never an issue since blocks always start at s0, and windowed attention masking handles rows beyond the window limit via the computed a_hi bound.\n\nNow I'm flattening the per-head G loop and block loop into a single combined loop so Triton's pipelining can work across all G × block iterations together, computing head and block indices via division and modulo. Setting up the descriptor for Q as a 2D tensor with 128×256 blocks, loading with proper offsets so any row beyond T zero-fills automatically.\n\nSimilarly defining K, V, and dS descriptors with their respective block shapes, then worrying whether the 256-wide inner dimension exceeds the 128B swizzle span for TMA — I think Triton splits such copies into multiple TMA messages on Hopper, so I'll just try it empirically. Next I want to write v1 and build a test harness that loads the solution module, runs it across all six shapes, checks correctness, and times performance.\n\nI should write my own benchmark rather than relying on check.py since it also times the slow starting kernel, so I'll time only my implementation and compare against the known expert times (roughly 1518, 510, 980, ~1165, 302, and 520 microseconds across shapes). Let me get started by checking the SM count and verifying that TMA/tcgen05 works correctly.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cSrtWYZLnjm6ffUB15","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"With the B300/sm_103/Triton 3.7.1 constraints confirmed and head dim 256 limiting tensor-memory space, I'll use transposed dK/dV accumulators with 64-key tiles and store dS once as bf16 so dQ can be a plain GEMM instead of recomputing S/dP. Writing the first version now.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":70875,"cache_read_input_tokens":18915,"cache_creation":{"ephemeral_5m_input_tokens":70875,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"cdede35e-3b9d-4ace-9b15-a552693e71c4","timestamp":"2026-10-18T11:19:33.570Z","request_id":"req_011Cg9cSrXCTfP9qY99at5N4","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cSrtWYZLnjm6ffUB15","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01DQpH8qqFjHs4B5PT9kru7B","name":"Write","input":{"file_path":"/workspace/bench.py","content":"import importlib.util\nimport sys\nimport torch\nimport task as T\n\nEXPERT = [1518, 510, 980, 1165, 302, 520]\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 time_us(fn, args, n=20):\n    for _ in range(2):\n        fn(*args)\n    torch.cuda.synchronize()\n    flush = torch.empty(256 * 1024 * 1024, dtype=torch.int8, device='cuda')\n    ts = []\n    for _ in range(n):\n        flush.zero_()\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record()\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    path = sys.argv[1] if len(sys.argv) > 1 else '/workspace/solution.py'\n    which = [int(x) for x in sys.argv[2].split(',')] if len(sys.argv) > 2 else list(range(6))\n    check = '--nocheck' not in sys.argv\n    sol = load(path, 'sol')\n    import math\n    logs = []\n    for idx in which:\n        shape = T.TASK.shapes[idx]\n        case = T.make_case(shape, 1, 'cuda')\n        ok = True\n        if check:\n            exp = T.reference([a.clone() if torch.is_tensor(a) else a for a in case.args])\n            for i in (9, 10, 11):\n                case.args[i].fill_(float('nan'))\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            del exp\n        t = time_us(sol.kernel_fn, case.args)\n        logs.append(math.log(EXPERT[idx] / t))\n        print(f\"{idx} {T.shape_key(shape)}: {'ok' if ok else 'WRONG ' + str(stats)} {t:.1f} us  expert {EXPERT[idx]}  ratio {EXPERT[idx]/t:.3f}\", flush=True)\n    print('geomean ratio', math.exp(sum(logs) / len(logs)))\n\n\nif __name__ == '__main__':\n    main()\n"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":70875,"cache_read_input_tokens":18915,"cache_creation":{"ephemeral_5m_input_tokens":70875,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"0f232277-62d5-4da2-8dea-cec93ac3e9d1","timestamp":"2026-10-18T11:19:38.069Z","request_id":"req_011Cg9cSrXCTfP9qY99at5N4"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01DQpH8qqFjHs4B5PT9kru7B","type":"tool_result","content":"File created successfully at: /workspace/bench.py (file state is current in your context — no need to Read it back)"}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b0148480-bc86-4132-b3bb-56523fb7a58d","timestamp":"2026-10-18T11:19:38.094Z","tool_use_result":{"type":"create","filePath":"/workspace/bench.py","content":"import importlib.util\nimport sys\nimport torch\nimport task as T\n\nEXPERT = [1518, 510, 980, 1165, 302, 520]\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 time_us(fn, args, n=20):\n    for _ in range(2):\n        fn(*args)\n    torch.cuda.synchronize()\n    flush = torch.empty(256 * 1024 * 1024, dtype=torch.int8, device='cuda')\n    ts = []\n    for _ in range(n):\n        flush.zero_()\n        s, e = torch.cuda.Event(enable_timing=True), torch.cuda.Event(enable_timing=True)\n        s.record()\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    path = sys.argv[1] if len(sys.argv) > 1 else '/workspace/solution.py'\n    which = [int(x) for x in sys.argv[2].split(',')] if len(sys.argv) > 2 else list(range(6))\n    check = '--nocheck' not in sys.argv\n    sol = load(path, 'sol')\n    import math\n    logs = []\n    for idx in which:\n        shape = T.TASK.shapes[idx]\n        case = T.make_case(shape, 1, 'cuda')\n        ok = True\n        if check:\n            exp = T.reference([a.clone() if torch.is_tensor(a) else a for a in case.args])\n            for i in (9, 10, 11):\n                case.args[i].fill_(float('nan'))\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            del exp\n        t = time_us(sol.kernel_fn, case.args)\n        logs.append(math.log(EXPERT[idx] / t))\n        print(f\"{idx} {T.shape_key(shape)}: {'ok' if ok else 'WRONG ' + str(stats)} {t:.1f} us  expert {EXPERT[idx]}  ratio {EXPERT[idx]/t:.3f}\", flush=True)\n    print('geomean ratio', math.exp(sum(logs) / len(logs)))\n\n\nif __name__ == '__main__':\n    main()\n","structuredPatch":[],"originalFile":null,"userModified":false},"tool_result_meta":[{"id":"toolu_01DQpH8qqFjHs4B5PT9kru7B","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cTdi32TKJFnHhyJFkH","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Writing the Triton kernel code...\n\nNow I'm designing block tables for variable-length sequences: one program per sequence builds KV block entries (64-wide) and Q block entries (128-wide) using prefix sums over cumulative lengths to compute offsets, looping through blocks and writing table entries, while making sure to invalidate entries beyond the actual block count given the upper-bound table sizes.\n\nI need to handle the total valid entry count since the tables are allocated uninitialized. I'm considering storing the count separately so downstream kernel programs can exit early if their pid exceeds it, versus avoiding tables entirely and having each program recompute its sequence index via a prefix-sum search over cu_seqlens directly.\n\nWriting the lookup function...\n\nI'm deciding to bucket the padded size to a minimum of 16 to avoid excessive recompilation across shape variants, since compile time isn't part of the timed path. I also need to confirm the global q-block index mapping works correctly in both the dQ and dKdV kernels using the per-sequence block offset.\n\nWriting dKdV kernel signature...\n\nStill writing the backward kernel loop...\n\nComputing dK and storing the dS tile to its buffer, now I'm second-guessing the block-lower-bound calculation for the sliding window — specifically whether integer division with a negative numerator behaves like Python's floor division or C-style truncation in Triton, since that affects which block index I compute.\n\nTo avoid the ambiguity, I reformulate it so the subtraction is clamped to zero before dividing, guaranteeing a nonnegative numerator and matching floor semantics exactly. I verify the logic against the actual row ranges: for query block a, the visible key rows start at 128a - W, so the lower key block bound should be floor(max(0, 128a - W)/64), which correctly excludes blocks entirely outside the window. I'm now working out the corresponding upper bound for a given key block based on which query rows can see it.\n\nChecking that the two kernels agree on exactly which block pairs they touch — tracing through a_lo(b) = b//2 by testing small values of b confirms the formula holds.\n\nNow I'm working out b_hi(a) similarly and checking the window visibility condition: a pair (a, b) is in range only if the block positions satisfy both the causal bound and the window width constraint.\n\nChecking the dKdV side confirms the same bound symmetrically, with caps at nqb-1 and nkb-1 applied correctly. I'm verifying the dQ kernel's row indexing into the dS tile matches, and now working out MAXKB as the maximum tile count across all query blocks.\n\nWorking through both bound cases confirms the count stays within 3 + W//64, and I verify the negative-window case separately. Then I check that every query row always sees at least its own diagonal position, so no q-block in the dQ kernel is ever empty of visible kv blocks.\n\nI also note dQ and dK/dV coverage holds for all q and kv rows since the programs span all blocks, and I check the edge case of zero-length sequences, which correctly produce zero blocks. Now I'm starting to write the dQ kernel function signature with its block pointers and scaling parameters.\n\nWriting kernel logic...\n\nChecking that the row indexing stays within int32 bounds, since the descriptor addressing needs to handle the full 64-bit global address and strides even though individual coordinates fit in int32.\n\nNow I'm writing the final dK/dV store logic, transposing and scaling the accumulated gradients, masking rows beyond the sequence boundary, and storing into the output tensors with proper strides. I'm also considering whether `W` should stay a runtime scalar branch or become a constexpr flag for the windowing condition.\n\nFor windowed attention I'll pass `W` as a runtime int alongside a constexpr `HAS_WIN` flag to specialize compilation, and I'm checking that Triton's integer division handles the clamped start-index computation correctly using `tl.maximum`. I'm also setting up tensor descriptors for Q and DS with proper shapes, strides, and block shapes, making sure the stride constraints are satisfied.\n\nI need a custom allocator via `triton.set_allocator` since descriptor-based kernels require scratch memory, and I'm deciding whether to call it inside the kernel function or at module level for safety. For the launch configuration, I'm thinking through warp counts for the dK/dV computation, weighing register pressure from holding S and dP tiles per thread.\n\nShared memory is the real constraint here—with Q/dO tiles at 64KB and K/V at 64KB, stacking pipeline stages quickly blows past SMEM capacity, so dKdV needs num_stages=1 while dQ can afford more stages. I'm also working through the TMA layout for the transposed dot product involving `do` and `pb`, making sure the shared memory swizzle pattern matches correctly for the K-major orientation.\n\nFor the M=256 case, I suspect Triton's tcgen05 lowering just splits the MMA into two M=128 instructions, so I'll write the kernel now and verify.\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":1224,"cache_read_input_tokens":89790,"cache_creation":{"ephemeral_5m_input_tokens":1224,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"27d5919b-058e-4226-8854-89d389b082da","timestamp":"2026-10-18T11:20:40.174Z","request_id":"req_011Cg9cTdLDjxGtAxFS5UuBq","thinking_duration_ms":59644,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cTdi32TKJFnHhyJFkH","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01DkUSpyo72Ps7G5eoLNJoBj","name":"Write","input":{"file_path":"/workspace/sol_v1.py","content":"import torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, T, H: tl.constexpr, D: tl.constexpr, BT: tl.constexpr):\n    pid = tl.program_id(0)\n    h = tl.program_id(1)\n    rt = pid * BT + tl.arange(0, BT)\n    m = rt < T\n    rd = tl.arange(0, D)\n    row = (rt.to(tl.int64) * H + h) * D\n    o = tl.load(O + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n    do = tl.load(DO + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n    tl.store(DELTA + h.to(tl.int64) * T + rt, tl.sum(o * do, 1), mask=m)\n\n\n@triton.jit\ndef _locate(CU, n, pid, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    cum = tl.cumsum(nb, 0)\n    s = tl.sum((cum <= pid).to(tl.int32), 0)\n    excl = tl.sum(tl.where(idx < s, nb, 0), 0)\n    s0 = tl.sum(tl.where(idx == s, st, 0), 0)\n    s1 = tl.sum(tl.where(idx == s, en, 0), 0)\n    return s, s0, s1, pid - excl\n\n\n@triton.jit\ndef _qoff(CU, n, s, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    return tl.sum(tl.where(idx < s, nb, 0), 0)\n\n\n@triton.jit\ndef _dkdv(Q, K, V, DO, LSE, DELTA, DK, DV, DS, CU, n, T, W, MAXKB, NDS, sm_scale,\n          H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n          BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n    hk = tl.program_id(0)\n    pid = tl.program_id(1)\n    s, s0, s1, b = _locate(CU, n, pid, BN, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    L = s1 - s0\n    j0 = s0 + b * BN\n    nqb = (L + BM - 1) // BM\n    a_lo = (b * BN) // BM\n    a_hi = nqb - 1\n    if HAS_W:\n        a_hi = tl.minimum(a_hi, (b * BN + BN - 1 + W) // BM)\n    na = a_hi - a_lo + 1\n    qoff = _qoff(CU, n, s, BM, NP)\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, H * D], strides=[H * D, 1], block_shape=[BM, D])\n    do_desc = tl.make_tensor_descriptor(DO, shape=[T, H * D], strides=[H * D, 1], block_shape=[BM, D])\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    k = k_desc.load([j0, hk * D])\n    v = v_desc.load([j0, hk * D])\n    rj = j0 + tl.arange(0, BN)\n    qk_scale = sm_scale * LOG2E\n    dkT = tl.zeros([D, BN], dtype=tl.float32)\n    dvT = tl.zeros([D, BN], dtype=tl.float32)\n    for it in range(0, G * na):\n        g = it // na\n        a = a_lo + it - g * na\n        h = hk * G + g\n        i0 = s0 + a * BM\n        q = q_desc.load([i0, h * D])\n        do = do_desc.load([i0, h * D])\n        ri = i0 + tl.arange(0, BM)\n        mi = ri < s1\n        lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0) * LOG2E\n        dl = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n        st = tl.dot(q, tl.trans(k))\n        dp = tl.dot(do, tl.trans(v))\n        vis = (rj[None, :] <= ri[:, None]) & mi[:, None] & (rj[None, :] < s1)\n        if HAS_W:\n            vis = vis & (ri[:, None] - rj[None, :] <= W)\n        p = tl.where(vis, tl.math.exp2(st * qk_scale - lse[:, None]), 0.0)\n        ds = tl.where(vis, p * (dp - dl[:, None]), 0.0)\n        pb = p.to(tl.bfloat16)\n        dsb = ds.to(tl.bfloat16)\n        dvT = tl.dot(tl.trans(do), pb, dvT)\n        dkT = tl.dot(tl.trans(q), dsb, dkT)\n        blo = 0\n        if HAS_W:\n            blo = tl.maximum(a * BM - W, 0) // BN\n        row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n        ds_desc.store([row * BM, 0], dsb)\n    rd = tl.arange(0, D)\n    mj = rj < s1\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n    dv = tl.trans(dvT).to(tl.bfloat16)\n    tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n    tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])\n\n\n@triton.jit\ndef _dq(K, DS, DQ, CU, n, T, W, MAXKB, NDS, sm_scale,\n        H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n        BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr):\n    h = tl.program_id(0)\n    pid = tl.program_id(1)\n    s, s0, s1, a = _locate(CU, n, pid, BM, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    hk = h // G\n    L = s1 - s0\n    nkb = (L + BN - 1) // BN\n    b_hi = tl.minimum(nkb - 1, (a * BM + BM - 1) // BN)\n    b_lo = 0\n    if HAS_W:\n        b_lo = tl.maximum(a * BM - W, 0) // BN\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    base = (pid * H + h) * MAXKB - b_lo\n    acc = tl.zeros([BM, D], dtype=tl.float32)\n    for b in tl.range(b_lo, b_hi + 1, num_stages=STAGES):\n        ds = ds_desc.load([(base + b) * BM, 0])\n        k = k_desc.load([s0 + b * BN, hk * D])\n        acc = tl.dot(ds, k, acc)\n    ri = s0 + a * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    tl.store(DQ + qrow[:, None] + rd[None, :], (acc * sm_scale).to(tl.bfloat16), mask=(ri < s1)[:, None])\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    triton.set_allocator(_alloc)\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    BM, BN = 128, 64\n    NP = max(16, triton.next_power_of_2(n))\n    has_w = window >= 0\n    W = window if has_w else 0\n    maxkb = triton.cdiv(max_seqlen, BN)\n    if has_w:\n        maxkb = min(maxkb, W // BN + 3)\n    nqb = triton.cdiv(T, BM) + n\n    nkb = triton.cdiv(T, BN) + n\n    nds = nqb * H * maxkb * BM\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    ds = torch.empty((nds, BN), device=q.device, dtype=torch.bfloat16)\n    sm_scale = D ** -0.5\n    _prep[(triton.cdiv(T, 64), H)](o, do, delta, T, H=H, D=D, BT=64, num_warps=8)\n    _dkdv[(HKV, nkb)](q, k, v, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BN=BN, NP=NP, num_warps=8, num_stages=1)\n    _dq[(H, nqb)](k, ds, dq, cu_seqlens, n, T, W, maxkb, nds, sm_scale, H=H, HKV=HKV, HAS_W=has_w, D=D,\n                  BM=BM, BN=BN, NP=NP, STAGES=3, num_warps=8)\n"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1224,"cache_read_input_tokens":89790,"cache_creation":{"ephemeral_5m_input_tokens":1224,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"fc333276-def9-4fe4-84c6-ed861e71d4a2","timestamp":"2026-10-18T11:21:03.993Z","request_id":"req_011Cg9cTdLDjxGtAxFS5UuBq"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01DkUSpyo72Ps7G5eoLNJoBj","type":"tool_result","content":"File created successfully at: /workspace/sol_v1.py (file state is current in your context — no need to Read it back)"}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a7f94ad8-464d-415d-91ce-63e1fced9950","timestamp":"2026-10-18T11:21:04.011Z","tool_use_result":{"type":"create","filePath":"/workspace/sol_v1.py","content":"import torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, T, H: tl.constexpr, D: tl.constexpr, BT: tl.constexpr):\n    pid = tl.program_id(0)\n    h = tl.program_id(1)\n    rt = pid * BT + tl.arange(0, BT)\n    m = rt < T\n    rd = tl.arange(0, D)\n    row = (rt.to(tl.int64) * H + h) * D\n    o = tl.load(O + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n    do = tl.load(DO + row[:, None] + rd[None, :], mask=m[:, None], other=0.0).to(tl.float32)\n    tl.store(DELTA + h.to(tl.int64) * T + rt, tl.sum(o * do, 1), mask=m)\n\n\n@triton.jit\ndef _locate(CU, n, pid, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    cum = tl.cumsum(nb, 0)\n    s = tl.sum((cum <= pid).to(tl.int32), 0)\n    excl = tl.sum(tl.where(idx < s, nb, 0), 0)\n    s0 = tl.sum(tl.where(idx == s, st, 0), 0)\n    s1 = tl.sum(tl.where(idx == s, en, 0), 0)\n    return s, s0, s1, pid - excl\n\n\n@triton.jit\ndef _qoff(CU, n, s, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    return tl.sum(tl.where(idx < s, nb, 0), 0)\n\n\n@triton.jit\ndef _dkdv(Q, K, V, DO, LSE, DELTA, DK, DV, DS, CU, n, T, W, MAXKB, NDS, sm_scale,\n          H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n          BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n    hk = tl.program_id(0)\n    pid = tl.program_id(1)\n    s, s0, s1, b = _locate(CU, n, pid, BN, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    L = s1 - s0\n    j0 = s0 + b * BN\n    nqb = (L + BM - 1) // BM\n    a_lo = (b * BN) // BM\n    a_hi = nqb - 1\n    if HAS_W:\n        a_hi = tl.minimum(a_hi, (b * BN + BN - 1 + W) // BM)\n    na = a_hi - a_lo + 1\n    qoff = _qoff(CU, n, s, BM, NP)\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, H * D], strides=[H * D, 1], block_shape=[BM, D])\n    do_desc = tl.make_tensor_descriptor(DO, shape=[T, H * D], strides=[H * D, 1], block_shape=[BM, D])\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    k = k_desc.load([j0, hk * D])\n    v = v_desc.load([j0, hk * D])\n    rj = j0 + tl.arange(0, BN)\n    qk_scale = sm_scale * LOG2E\n    dkT = tl.zeros([D, BN], dtype=tl.float32)\n    dvT = tl.zeros([D, BN], dtype=tl.float32)\n    for it in range(0, G * na):\n        g = it // na\n        a = a_lo + it - g * na\n        h = hk * G + g\n        i0 = s0 + a * BM\n        q = q_desc.load([i0, h * D])\n        do = do_desc.load([i0, h * D])\n        ri = i0 + tl.arange(0, BM)\n        mi = ri < s1\n        lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0) * LOG2E\n        dl = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n        st = tl.dot(q, tl.trans(k))\n        dp = tl.dot(do, tl.trans(v))\n        vis = (rj[None, :] <= ri[:, None]) & mi[:, None] & (rj[None, :] < s1)\n        if HAS_W:\n            vis = vis & (ri[:, None] - rj[None, :] <= W)\n        p = tl.where(vis, tl.math.exp2(st * qk_scale - lse[:, None]), 0.0)\n        ds = tl.where(vis, p * (dp - dl[:, None]), 0.0)\n        pb = p.to(tl.bfloat16)\n        dsb = ds.to(tl.bfloat16)\n        dvT = tl.dot(tl.trans(do), pb, dvT)\n        dkT = tl.dot(tl.trans(q), dsb, dkT)\n        blo = 0\n        if HAS_W:\n            blo = tl.maximum(a * BM - W, 0) // BN\n        row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n        ds_desc.store([row * BM, 0], dsb)\n    rd = tl.arange(0, D)\n    mj = rj < s1\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n    dv = tl.trans(dvT).to(tl.bfloat16)\n    tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n    tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])\n\n\n@triton.jit\ndef _dq(K, DS, DQ, CU, n, T, W, MAXKB, NDS, sm_scale,\n        H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n        BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr):\n    h = tl.program_id(0)\n    pid = tl.program_id(1)\n    s, s0, s1, a = _locate(CU, n, pid, BM, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    hk = h // G\n    L = s1 - s0\n    nkb = (L + BN - 1) // BN\n    b_hi = tl.minimum(nkb - 1, (a * BM + BM - 1) // BN)\n    b_lo = 0\n    if HAS_W:\n        b_lo = tl.maximum(a * BM - W, 0) // BN\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    base = (pid * H + h) * MAXKB - b_lo\n    acc = tl.zeros([BM, D], dtype=tl.float32)\n    for b in tl.range(b_lo, b_hi + 1, num_stages=STAGES):\n        ds = ds_desc.load([(base + b) * BM, 0])\n        k = k_desc.load([s0 + b * BN, hk * D])\n        acc = tl.dot(ds, k, acc)\n    ri = s0 + a * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    tl.store(DQ + qrow[:, None] + rd[None, :], (acc * sm_scale).to(tl.bfloat16), mask=(ri < s1)[:, None])\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    triton.set_allocator(_alloc)\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    BM, BN = 128, 64\n    NP = max(16, triton.next_power_of_2(n))\n    has_w = window >= 0\n    W = window if has_w else 0\n    maxkb = triton.cdiv(max_seqlen, BN)\n    if has_w:\n        maxkb = min(maxkb, W // BN + 3)\n    nqb = triton.cdiv(T, BM) + n\n    nkb = triton.cdiv(T, BN) + n\n    nds = nqb * H * maxkb * BM\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    ds = torch.empty((nds, BN), device=q.device, dtype=torch.bfloat16)\n    sm_scale = D ** -0.5\n    _prep[(triton.cdiv(T, 64), H)](o, do, delta, T, H=H, D=D, BT=64, num_warps=8)\n    _dkdv[(HKV, nkb)](q, k, v, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BN=BN, NP=NP, num_warps=8, num_stages=1)\n    _dq[(H, nqb)](k, ds, dq, cu_seqlens, n, T, W, maxkb, nds, sm_scale, H=H, HKV=HKV, HAS_W=has_w, D=D,\n                  BM=BM, BN=BN, NP=NP, STAGES=3, num_warps=8)\n","structuredPatch":[],"originalFile":null,"userModified":false},"tool_result_meta":[{"id":"toolu_01DkUSpyo72Ps7G5eoLNJoBj","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cZxxLpAMiqXMFGZBi6","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01TTSoPMxK5mYvrudeHfUK3E","name":"Bash","input":{"command":"timeout 900 python bench.py sol_v1.py 0,4 2>&1 | tail -30","description":"Run v1 on two shapes for correctness and timing"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":10642,"cache_read_input_tokens":91014,"cache_creation":{"ephemeral_5m_input_tokens":10642,"ephemeral_1h_input_tokens":0},"output_tokens":16,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"c8c4ecd5-5852-4865-9ea1-542e08f5e594","timestamp":"2026-10-18T11:21:06.413Z","request_id":"req_011Cg9cZxckJSCHoy4kAm4Vq"}
{"type":"system","subtype":"task_started","task_id":"bp9tn6csj","run_id":"0mvdqisdw-c0ef0879","tool_use_id":"toolu_01TTSoPMxK5mYvrudeHfUK3E","description":"Run v1 on two shapes for correctness and timing","is_backgrounded":false,"task_type":"local_bash","uuid":"4f347c15-edb0-4ef0-8113-d4f620d82076","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"bp9tn6csj","run_id":"0mvdqisdw-c0ef0879","tool_use_id":"toolu_01TTSoPMxK5mYvrudeHfUK3E","status":"completed","output_file":"","summary":"Run v1 on two shapes for correctness and timing","uuid":"822c3f35-aedc-4b22-8cff-2fb9f7972781","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01TTSoPMxK5mYvrudeHfUK3E","type":"tool_result","content":"Traceback (most recent call last):\n  File \"/workspace/bench.py\", line 59, in <module>\n    main()\n  File \"/workspace/bench.py\", line 54, in main\n    print(f\"{idx} {T.shape_key(shape)}: {'ok' if ok else 'WRONG ' + str(stats)} {t:.1f} us  expert {EXPERT[idx]}  ratio {EXPERT[idx]/t:.3f}\", flush=True)\n                   ^^^^^^^^^^^\nAttributeError: module 'task' has no attribute 'shape_key'","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"2fd047c7-8500-4c79-91dd-3b55b7dd416b","timestamp":"2026-10-18T11:21:27.821Z","tool_use_result":{"stdout":"Traceback (most recent call last):\n  File \"/workspace/bench.py\", line 59, in <module>\n    main()\n  File \"/workspace/bench.py\", line 54, in main\n    print(f\"{idx} {T.shape_key(shape)}: {'ok' if ok else 'WRONG ' + str(stats)} {t:.1f} us  expert {EXPERT[idx]}  ratio {EXPERT[idx]/t:.3f}\", flush=True)\n                   ^^^^^^^^^^^\nAttributeError: module 'task' has no attribute 'shape_key'","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01TTSoPMxK5mYvrudeHfUK3E","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cbipqNnDVTxYDdgCE6","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Duohu7m5HSBdhLohhnbNSY","name":"Bash","input":{"command":"sed -i 's/T.shape_key(shape)/idx/' bench.py && timeout 900 python bench.py sol_v1.py 0,4 2>&1 | tail -30","description":"Fix bench and rerun v1"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":363,"cache_read_input_tokens":101656,"cache_creation":{"ephemeral_5m_input_tokens":363,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"058c73ad-7ff7-4951-9f21-9d6fe7e1eaaa","timestamp":"2026-10-18T11:21:29.941Z","request_id":"req_011Cg9cbiSmTQJpcFMRUECf7"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Duohu7m5HSBdhLohhnbNSY","type":"tool_result","content":"0 0: ok 3084.7 us  expert 1518  ratio 0.492\n4 4: ok 482.3 us  expert 302  ratio 0.626\ngeomean ratio 0.5551040915819851","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e720ea8e-ddc8-4f9c-8a56-ec8a056a2c7a","timestamp":"2026-10-18T11:21:34.529Z","tool_use_result":{"stdout":"0 0: ok 3084.7 us  expert 1518  ratio 0.492\n4 4: ok 482.3 us  expert 302  ratio 0.626\ngeomean ratio 0.5551040915819851","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Duohu7m5HSBdhLohhnbNSY","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ccDTGrJvcXNW4EUTgH","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"V1 is working and correct on two test shapes, showing good speedups. I should verify it across all six shapes before copying it over to 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":671,"cache_read_input_tokens":102019,"cache_creation":{"ephemeral_5m_input_tokens":671,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"2011fc2e-078a-4591-8eda-44a3d0cb5d5a","timestamp":"2026-10-18T11:21:37.812Z","request_id":"req_011Cg9ccD6woV7D6xaFx6pXt","thinking_duration_ms":2022,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ccDTGrJvcXNW4EUTgH","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01VocGKWY6UCRMeSHf9fQB4w","name":"Bash","input":{"command":"timeout 1200 python bench.py sol_v1.py 2>&1 | tail -30","description":"Run v1 on all six shapes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":671,"cache_read_input_tokens":102019,"cache_creation":{"ephemeral_5m_input_tokens":671,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d39442a2-351f-45c3-b2ca-f5ac7e5c6687","timestamp":"2026-10-18T11:21:37.815Z","request_id":"req_011Cg9ccD6woV7D6xaFx6pXt"}
{"type":"system","subtype":"task_started","task_id":"bwmjn7bds","run_id":"0mvdqjgm4-da30a8bb","tool_use_id":"toolu_01VocGKWY6UCRMeSHf9fQB4w","description":"Run v1 on all six shapes","is_backgrounded":false,"task_type":"local_bash","uuid":"09e37c34-536d-48c4-9537-3901f2c207f5","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01VocGKWY6UCRMeSHf9fQB4w","type":"tool_result","content":"0 0: ok 3085.2 us  expert 1518  ratio 0.492\n1 1: ok 947.2 us  expert 510  ratio 0.538\n2 2: ok 1692.7 us  expert 980  ratio 0.579\n3 3: ok 2013.2 us  expert 1165  ratio 0.579\n4 4: ok 484.4 us  expert 302  ratio 0.624\n5 5: ok 900.1 us  expert 520  ratio 0.578\ngeomean ratio 0.5633708531220718","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"6114a00e-9ce7-42f0-aafa-8b51bd513ba6","timestamp":"2026-10-18T11:21:43.920Z","tool_use_result":{"stdout":"0 0: ok 3085.2 us  expert 1518  ratio 0.492\n1 1: ok 947.2 us  expert 510  ratio 0.538\n2 2: ok 1692.7 us  expert 980  ratio 0.579\n3 3: ok 2013.2 us  expert 1165  ratio 0.579\n4 4: ok 484.4 us  expert 302  ratio 0.624\n5 5: ok 900.1 us  expert 520  ratio 0.578\ngeomean ratio 0.5633708531220718","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01VocGKWY6UCRMeSHf9fQB4w","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ccuUKpqRzJxNr9PQLM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_0124aALzvJUdTBFSgnHGjnkC","name":"Bash","input":{"command":"cp sol_v1.py solution.py && cat > /workspace/prof.py << 'EOF'\nimport sys, torch, importlib.util\nimport task as T\nspec = importlib.util.spec_from_file_location('sol', sys.argv[1]); sol = importlib.util.module_from_spec(spec); spec.loader.exec_module(sol)\nidx = int(sys.argv[2]) if len(sys.argv) > 2 else 0\ncase = T.make_case(T.TASK.shapes[idx], 1, 'cuda')\nfor _ in range(3): sol.kernel_fn(*case.args)\ntorch.cuda.synchronize()\nfrom torch.profiler import profile, ProfilerActivity\nwith profile(activities=[ProfilerActivity.CUDA]) as prof:\n    for _ in range(5): sol.kernel_fn(*case.args)\n    torch.cuda.synchronize()\nprint(prof.key_averages().table(sort_by='cuda_time_total', row_limit=10))\nEOF\ntimeout 600 python prof.py sol_v1.py 0 2>&1 | tail -15","description":"Save v1 as solution, profile per-kernel times"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":424,"cache_read_input_tokens":102690,"cache_creation":{"ephemeral_5m_input_tokens":424,"ephemeral_1h_input_tokens":0},"output_tokens":16,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"263f9c4f-4dc9-4fff-b045-4fb3cbe4d0cb","timestamp":"2026-10-18T11:21:48.216Z","request_id":"req_011Cg9ccuEgCgdABXg1dKcCQ"}
{"type":"system","subtype":"task_started","task_id":"b3puto3xr","run_id":"0mvdqjon1-cbccd8b1","tool_use_id":"toolu_0124aALzvJUdTBFSgnHGjnkC","description":"Save v1 as solution, profile per-kernel times","is_backgrounded":false,"task_type":"local_bash","uuid":"e80041d6-06a9-470e-953c-fd253acc446f","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"b3puto3xr","run_id":"0mvdqjon1-cbccd8b1","tool_use_id":"toolu_0124aALzvJUdTBFSgnHGjnkC","status":"completed","output_file":"","summary":"Save v1 as solution, profile per-kernel times","uuid":"5ca12cd2-69ef-4ad0-87e5-ca2ecff8a37f","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_0124aALzvJUdTBFSgnHGjnkC","type":"tool_result","content":"USDT:2026-10-18 11:21:53 5291:5291 SyncActivityProfilerHandler.cpp:52] profiler_start\nUSDT:2026-10-18 11:21:53 5291:5291 SyncActivityProfilerHandler.cpp:59] profiler_stop\n---------------------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  \n                       Name    Self CPU %      Self CPU   CPU total %     CPU total  CPU time avg     Self CUDA   Self CUDA %    CUDA total  CUDA time avg    # of Calls  \n---------------------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  \n                      _dkdv         0.00%       0.000us         0.00%       0.000us       0.000us      13.631ms        88.69%      13.631ms       2.726ms             5  \n                        _dq         0.00%       0.000us         0.00%       0.000us       0.000us       1.604ms        10.44%       1.604ms     320.795us             5  \n                      _prep         0.00%       0.000us         0.00%       0.000us       0.000us     133.888us         0.87%     133.888us      26.778us             5  \n    Activity Buffer Request         4.07%     642.540us         4.07%     642.540us     642.540us       0.000us         0.00%       0.000us       0.000us             1  \n           cuLaunchKernelEx         0.58%      91.400us         0.58%      91.400us       6.093us       0.000us         0.00%       0.000us       0.000us            15  \n      cudaDeviceSynchronize        95.35%      15.038ms        95.35%      15.038ms       7.519ms       0.000us         0.00%       0.000us       0.000us             2  \n---------------------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  \nSelf CPU time total: 15.772ms\nSelf CUDA time total: 15.369ms","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d6a41d9c-1dec-4b14-9da9-1eb14eef9ce0","timestamp":"2026-10-18T11:21:54.274Z","tool_use_result":{"stdout":"USDT:2026-10-18 11:21:53 5291:5291 SyncActivityProfilerHandler.cpp:52] profiler_start\nUSDT:2026-10-18 11:21:53 5291:5291 SyncActivityProfilerHandler.cpp:59] profiler_stop\n---------------------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  \n                       Name    Self CPU %      Self CPU   CPU total %     CPU total  CPU time avg     Self CUDA   Self CUDA %    CUDA total  CUDA time avg    # of Calls  \n---------------------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  \n                      _dkdv         0.00%       0.000us         0.00%       0.000us       0.000us      13.631ms        88.69%      13.631ms       2.726ms             5  \n                        _dq         0.00%       0.000us         0.00%       0.000us       0.000us       1.604ms        10.44%       1.604ms     320.795us             5  \n                      _prep         0.00%       0.000us         0.00%       0.000us       0.000us     133.888us         0.87%     133.888us      26.778us             5  \n    Activity Buffer Request         4.07%     642.540us         4.07%     642.540us     642.540us       0.000us         0.00%       0.000us       0.000us             1  \n           cuLaunchKernelEx         0.58%      91.400us         0.58%      91.400us       6.093us       0.000us         0.00%       0.000us       0.000us            15  \n      cudaDeviceSynchronize        95.35%      15.038ms        95.35%      15.038ms       7.519ms       0.000us         0.00%       0.000us       0.000us             2  \n---------------------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  ------------  \nSelf CPU time total: 15.772ms\nSelf CUDA time total: 15.369ms","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_0124aALzvJUdTBFSgnHGjnkC","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cdfzyhZEKdXDNXwaAN","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The first correct solution is saved to `solution.py`, running at 0.56x the expert speed; the dK/dV kernel dominates runtime (89%, 400 TFLOPS) while the dQ GEMM is already fast (860 TFLOPS). I'll now inspect the dK/dV kernel's generated IR and try warp specialization to speed it up.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1247,"cache_read_input_tokens":103114,"cache_creation":{"ephemeral_5m_input_tokens":1247,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"c1795ae1-c9bb-497e-a802-c408a9f419b5","timestamp":"2026-10-18T11:22:03.470Z","request_id":"req_011Cg9cdfYCaGQVqWEyUijuu","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cdfzyhZEKdXDNXwaAN","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01VR4VtSiK58t5gUjJnqQ4T4","name":"Bash","input":{"command":"cat > /workspace/dump.py << 'EOF'\nimport sys, torch, importlib.util, os\nimport task as T\nspec = importlib.util.spec_from_file_location('sol', sys.argv[1]); sol = importlib.util.module_from_spec(spec); spec.loader.exec_module(sol)\nidx = int(sys.argv[2]) if len(sys.argv) > 2 else 0\ncase = T.make_case(T.TASK.shapes[idx], 1, 'cuda')\nsol.kernel_fn(*case.args)\ntorch.cuda.synchronize()\nEOF\nrm -rf /tmp/tcache && TRITON_CACHE_DIR=/tmp/tcache timeout 600 python dump.py sol_v1.py 4 && ls /tmp/tcache/*/ | head -40","description":"Compile v1 into a fresh cache to inspect IR"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1247,"cache_read_input_tokens":103114,"cache_creation":{"ephemeral_5m_input_tokens":1247,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"782ebaba-56ff-4a2a-b4b6-27aa52a66b16","timestamp":"2026-10-18T11:22:03.510Z","request_id":"req_011Cg9cdfYCaGQVqWEyUijuu"}
{"type":"system","subtype":"task_started","task_id":"b9yi5ptn9","run_id":"0mvdqk0g4-3e6c18f6","tool_use_id":"toolu_01VR4VtSiK58t5gUjJnqQ4T4","description":"Compile v1 into a fresh cache to inspect IR","is_backgrounded":false,"task_type":"local_bash","uuid":"18b95ad1-e93d-4ac1-8c73-5a07d9c2fc5d","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"b9yi5ptn9","run_id":"0mvdqk0g4-3e6c18f6","tool_use_id":"toolu_01VR4VtSiK58t5gUjJnqQ4T4","status":"completed","output_file":"","summary":"Compile v1 into a fresh cache to inspect IR","uuid":"28743434-28d4-4ab9-bd1a-cca297526154","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01VR4VtSiK58t5gUjJnqQ4T4","type":"tool_result","content":"/tmp/tcache/H6B4NDUYHEB6ARZBBDBDE6G73N5DELWVLEXTFUP3E5AZDSHDTIYA/:\n__grp___dq.json\n_dq.cubin\n_dq.json\n_dq.llir\n_dq.ptx\n_dq.source\n_dq.ttgir\n_dq.ttir\n\n/tmp/tcache/KUUFFY2WZQZWRIRN2CVNQIB5FHIFONI4UCQIU2SIASOWQRIQL4EA/:\ncuda_utils.cpython-312-x86_64-linux-gnu.so\n\n/tmp/tcache/PA4VERZAG3XQEX6PBKFBCZG7MP6KP6ZJYCPD6UHL2R2HDDDPGH2A/:\n__grp___dkdv.json\n_dkdv.cubin\n_dkdv.json\n_dkdv.llir\n_dkdv.ptx\n_dkdv.source\n_dkdv.ttgir\n_dkdv.ttir\n\n/tmp/tcache/XZB4RZPUIEYBTO6ANZIMYII7V265XJ5WCCNVIU25PDVBI4L6I5NQ/:\n__grp___prep.json\n_prep.cubin\n_prep.json\n_prep.llir\n_prep.ptx\n_prep.source\n_prep.ttgir\n_prep.ttir","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"bb4f2067-b783-456e-8bd1-e52ab8faecc0","timestamp":"2026-10-18T11:22:07.672Z","tool_use_result":{"stdout":"/tmp/tcache/H6B4NDUYHEB6ARZBBDBDE6G73N5DELWVLEXTFUP3E5AZDSHDTIYA/:\n__grp___dq.json\n_dq.cubin\n_dq.json\n_dq.llir\n_dq.ptx\n_dq.source\n_dq.ttgir\n_dq.ttir\n\n/tmp/tcache/KUUFFY2WZQZWRIRN2CVNQIB5FHIFONI4UCQIU2SIASOWQRIQL4EA/:\ncuda_utils.cpython-312-x86_64-linux-gnu.so\n\n/tmp/tcache/PA4VERZAG3XQEX6PBKFBCZG7MP6KP6ZJYCPD6UHL2R2HDDDPGH2A/:\n__grp___dkdv.json\n_dkdv.cubin\n_dkdv.json\n_dkdv.llir\n_dkdv.ptx\n_dkdv.source\n_dkdv.ttgir\n_dkdv.ttir\n\n/tmp/tcache/XZB4RZPUIEYBTO6ANZIMYII7V265XJ5WCCNVIU25PDVBI4L6I5NQ/:\n__grp___prep.json\n_prep.cubin\n_prep.json\n_prep.llir\n_prep.ptx\n_prep.source\n_prep.ttgir\n_prep.ttir","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01VR4VtSiK58t5gUjJnqQ4T4","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cefD8wSidyaZXmWeun","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01TatoWEtM9sLqiCwYQqXxoh","name":"Bash","input":{"command":"cd /tmp/tcache/PA4*/ && grep -o '\"shared\": [0-9]*\\|\"tmem_size\": [0-9]*\\|\"num_warps\": [0-9]*' _dkdv.json; grep -n \"tmem_alloc\\|tc_gen5_mma\\|async_tma_copy\\|wait_barrier\\|tmem_load\\|local_alloc\\|scf.for\\|tma_store\\|async_tma_store\" _dkdv.ttgir | cut -c1-250 | head -60","description":"Inspect dKdV TTGIR for MMAs and TMEM"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1464,"cache_read_input_tokens":104361,"cache_creation":{"ephemeral_5m_input_tokens":1464,"ephemeral_1h_input_tokens":0},"output_tokens":16,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"1ffb8dd6-7a03-413c-bc3d-bbe605fa961b","timestamp":"2026-10-18T11:22:10.980Z","request_id":"req_011Cg9ceemqJW86vyc4TNwh5"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01TatoWEtM9sLqiCwYQqXxoh","type":"tool_result","content":"\"num_warps\": 8\n\"shared\": 229384\n\"tmem_size\": 512\n179:    %k_42 = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc204)\n181:    %k_44 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc204)\n184:    ttng.async_tma_copy_global_to_local %k_desc_39[%j0_27, %k] %k_42, %k_44, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc204)\n185:    ttng.wait_barrier %k_44, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc204)\n187:    %v = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc206)\n189:    %v_45 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc206)\n192:    ttng.async_tma_copy_global_to_local %v_desc_40[%j0_27, %k] %v, %v_45, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc206)\n193:    ttng.wait_barrier %v_45, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc206)\n213:    %dvT = ttng.tmem_alloc : () -> !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc220)\n215:    %dkT = ttng.tmem_alloc : () -> !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc221)\n217:    %st_55 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc222)\n218:    %dp_56 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc223)\n219:    %dvT_57 = scf.for %dvT_70 = %c0_i32 to %2 step %c1_i32 iter_args(%dvT_71 = %false) -> (i1)  : i32 {\n228:      %q_76 = ttg.local_alloc : () -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc233)\n230:      %q_78 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc233)\n233:      ttng.async_tma_copy_global_to_local %q_desc_37[%i0_75, %q] %q_76, %q_78, %true : !tt.tensordesc<tensor<128x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc233\n234:      ttng.wait_barrier %q_78, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc233)\n236:      %do = ttg.local_alloc : () -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc235)\n238:      %do_80 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc235)\n241:      ttng.async_tma_copy_global_to_local %do_desc_38[%i0_75, %q] %do, %do_80, %true : !tt.tensordesc<tensor<128x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc235\n242:      ttng.wait_barrier %do_80, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc235)\n258:      %st_94 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n260:      ttng.tc_gen5_mma %q_76, %st_43, %st_55, %false, %true, %st_94[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory,\n261:      ttng.wait_barrier %st_94, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n263:      %dp_95 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n265:      ttng.tc_gen5_mma %do, %dp, %dp_56, %false, %true, %dp_95[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, muta\n266:      ttng.wait_barrier %dp_95, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n279:      %st_106 = ttng.tmem_load %st_55 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc222)\n285:      %pb_111 = ttg.local_alloc %pb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc255)\n286:      %dp_112 = ttng.tmem_load %dp_56 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc223)\n291:      %19 = ttg.local_alloc %dsb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n293:      %dvT_116 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n295:      ttng.tc_gen5_mma %dvT_79, %pb_111, %dvT, %dvT_71, %true, %dvT_116[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, muta\n296:      ttng.wait_barrier %dvT_116, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n299:      %dkT_117 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n301:      ttng.tc_gen5_mma %dkT_77, %19, %dkT, %dvT_71, %true, %dkT_117[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable>\n302:      ttng.wait_barrier %dkT_117, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n311:      ttng.async_tma_copy_local_to_global %ds_desc_41[%20, %c0_i32] %19 : !tt.tensordesc<tensor<128x64xbf16, #shared>>, !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n312:      ttng.async_tma_store_wait {pendings = 0 : i32} loc(#loc113)\n334:    %dkT_64 = ttng.tmem_load %dkT : !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<256x64xf32, #linear> loc(#loc221)\n344:    %dvT_68 = ttng.tmem_load %dvT : !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<256x64xf32, #linear> loc(#loc220)\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"882dba8d-5035-48e9-8693-5a0f29d8da9c","timestamp":"2026-10-18T11:22:11.020Z","tool_use_result":{"stdout":"\"num_warps\": 8\n\"shared\": 229384\n\"tmem_size\": 512\n179:    %k_42 = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc204)\n181:    %k_44 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc204)\n184:    ttng.async_tma_copy_global_to_local %k_desc_39[%j0_27, %k] %k_42, %k_44, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc204)\n185:    ttng.wait_barrier %k_44, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc204)\n187:    %v = ttg.local_alloc : () -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc206)\n189:    %v_45 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc206)\n192:    ttng.async_tma_copy_global_to_local %v_desc_40[%j0_27, %k] %v, %v_45, %true : !tt.tensordesc<tensor<64x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> loc(#loc206)\n193:    ttng.wait_barrier %v_45, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc206)\n213:    %dvT = ttng.tmem_alloc : () -> !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc220)\n215:    %dkT = ttng.tmem_alloc : () -> !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc221)\n217:    %st_55 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc222)\n218:    %dp_56 = ttng.tmem_alloc : () -> !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> loc(#loc223)\n219:    %dvT_57 = scf.for %dvT_70 = %c0_i32 to %2 step %c1_i32 iter_args(%dvT_71 = %false) -> (i1)  : i32 {\n228:      %q_76 = ttg.local_alloc : () -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc233)\n230:      %q_78 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc233)\n233:      ttng.async_tma_copy_global_to_local %q_desc_37[%i0_75, %q] %q_76, %q_78, %true : !tt.tensordesc<tensor<128x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc233\n234:      ttng.wait_barrier %q_78, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc233)\n236:      %do = ttg.local_alloc : () -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc235)\n238:      %do_80 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc235)\n241:      ttng.async_tma_copy_global_to_local %do_desc_38[%i0_75, %q] %do, %do_80, %true : !tt.tensordesc<tensor<128x256xbf16, #shared>>, !ttg.memdesc<1xi64, #shared2, #smem, mutable> -> !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> loc(#loc235\n242:      ttng.wait_barrier %do_80, %c0_i32 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc235)\n258:      %st_94 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n260:      ttng.tc_gen5_mma %q_76, %st_43, %st_55, %false, %true, %st_94[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory,\n261:      ttng.wait_barrier %st_94, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n263:      %dp_95 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n265:      ttng.tc_gen5_mma %do, %dp, %dp_56, %false, %true, %dp_95[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, muta\n266:      ttng.wait_barrier %dp_95, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n279:      %st_106 = ttng.tmem_load %st_55 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc222)\n285:      %pb_111 = ttg.local_alloc %pb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc255)\n286:      %dp_112 = ttng.tmem_load %dp_56 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc223)\n291:      %19 = ttg.local_alloc %dsb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n293:      %dvT_116 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n295:      ttng.tc_gen5_mma %dvT_79, %pb_111, %dvT, %dvT_71, %true, %dvT_116[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, muta\n296:      ttng.wait_barrier %dvT_116, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n299:      %dkT_117 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n301:      ttng.tc_gen5_mma %dkT_77, %19, %dkT, %dvT_71, %true, %dkT_117[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable>\n302:      ttng.wait_barrier %dkT_117, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n311:      ttng.async_tma_copy_local_to_global %ds_desc_41[%20, %c0_i32] %19 : !tt.tensordesc<tensor<128x64xbf16, #shared>>, !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n312:      ttng.async_tma_store_wait {pendings = 0 : i32} loc(#loc113)\n334:    %dkT_64 = ttng.tmem_load %dkT : !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<256x64xf32, #linear> loc(#loc221)\n344:    %dvT_68 = ttng.tmem_load %dvT : !ttg.memdesc<256x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<256x64xf32, #linear> loc(#loc220)","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01TatoWEtM9sLqiCwYQqXxoh","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ceuVcmACjwqTDb9vqb","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Confirming everything is fully serialized with no overlap between the load, MMA, and store stages, and noting TMEM/SMEM usage is near the allocation limits. Now I'm thinking about reordering operations as one way to improve overlap.\n\nWarp specialization is another option worth trying, splitting load, MMA, and softmax into separate partitions so MMAs fire as soon as inputs are ready, though single-buffering on Q/dO limits that. I'm also considering cutting SMEM usage by shrinking the tile size to free room for double-buffering, and sketching out what a smaller BM=64 configuration with num_stages=2 might look like.\n\nI'm now exploring a two-CTA-per-SM scheme, checking whether TMEM and SMEM budgets fit under different BN/orientation choices, and finding that most combinations still blow past either the 256-column TMEM limit or the SMEM limit for two CTAs.\n\nTrying BM=64 fits SMEM for two CTAs, but the resulting MMA tile is too small to be efficient, so I'm abandoning that route and instead considering whether Triton's automatic warp specialization plus manual software pipelining -- double-buffering TMEM for S/dP and Q/dO so later iterations' MMAs can be issued before earlier softmax steps finish -- could unlock better overlap.\n\nSMEM constraints keep getting in the way though: V is only needed for dP, K only for S, and both are required throughout the iteration, so there's no obvious way to shrink buffers further, and Q/dO still can't go below 128KB at BM=128. That leaves single-buffered BM=128 with warp specialization and tight intra-iteration overlap as the more realistic option.\n\nTracing through that ordering, the critical path per iteration runs load → S MMA → dP MMA (partially overlapping softmax) → softmax → dV/dK MMA, with a single Q/dO buffer forcing the next load to wait until dV/dK finish, so I'm estimating the per-iteration MMA cost against peak throughput to see how load latency stacks up against it.\n\nPlugging in rough numbers, the load bandwidth alone eats roughly 1000 clocks against ~2048 for MMA and ~500 for softmax overlap, yielding something like 58% of peak -- but that predicts a much faster runtime than the 2726 us I'm actually seeing, so my peak FLOPS assumption for B300 must be off and I need to re-derive it.\n\nUsing 148 SMs at 4096 MACs/clk and ~1.9GHz gives roughly 2.3 PFLOPS peak, which means the current dKdV at 404 TFLOPS is only about 17.5% utilization. The real bottleneck looks like sequential waits -- loading Q and dO back-to-back rather than overlapped, plus serialized MMA and store latencies -- so I'm trying to work out the per-iteration cost by counting kv blocks across the sequence lengths.\n\nComputing the total iterations across heads gives about 66K iterations overall, which works out to roughly 446 per SM, or ~6.1 us each -- about 11.6K clocks, far above the ~2048 clock ideal for the MMA. That's a huge gap, so something is eating most of the cycles, possibly the smaller N=64 MMA shapes or the softmax computation across the warps being much slower than expected.\n\nI'm suspecting the storage of P into shared memory might involve bank conflicts, and the TMA store for dS has a synchronous wait for completion right in the loop, which could be adding real latency each iteration even if the raw transfer is small. I think I need to microbenchmark the individual pieces to isolate where the real cost is coming from.\n\nI should try removing the dS store entirely to see the impact, then try bypassing softmax to measure MMA-only timing. I'd like to check if ncu profiling is even available in this sandboxed environment first, since that would give a much cleaner answer than manual ablations.\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":3789,"cache_read_input_tokens":105825,"cache_creation":{"ephemeral_5m_input_tokens":3789,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"3185aa6e-1aab-4dc5-a1d6-b414c443a5e4","timestamp":"2026-10-18T11:22:40.864Z","request_id":"req_011Cg9ceu7npy5KyhdjobJRJ","thinking_duration_ms":27379,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ceuVcmACjwqTDb9vqb","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GjomHdSNweGMTTWXVAQm2N","name":"Bash","input":{"command":"which ncu nsys 2>&1; ls /usr/local/cuda/bin 2>/dev/null | head; sed -n 255,320p /tmp/tcache/PA4*/_dkdv.ttgir | cut -c1-200","description":"Check profilers and inspect loop body IR"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3789,"cache_read_input_tokens":105825,"cache_creation":{"ephemeral_5m_input_tokens":3789,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"486982ae-0d3c-4796-b42f-7d4f7839cd33","timestamp":"2026-10-18T11:22:40.871Z","request_id":"req_011Cg9ceu7npy5KyhdjobJRJ"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GjomHdSNweGMTTWXVAQm2N","type":"tool_result","content":"__nvcc_device_query\nbin2c\ncrt\ncudafe++\ncuobjdump\nfatbinary\nnvcc\nnvcc.profile\nnvlink\nptxas\n      %dl_91 = tt.splat %dl : !tt.ptr<f32> -> tensor<128x!tt.ptr<f32>, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc244)\n      %dl_92 = tt.addptr %dl_91, %ri_82 : tensor<128x!tt.ptr<f32>, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xi32, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc244)\n      %dl_93 = tt.load %dl_92, %mi_83, %cst_9 : tensor<128x!tt.ptr<f32>, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc245)\n      %st_94 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      ttng.init_barrier %st_94, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      ttng.tc_gen5_mma %q_76, %st_43, %st_55, %false, %true, %st_94[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.m\n      ttng.wait_barrier %st_94, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      ttng.inval_barrier %st_94 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      %dp_95 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      ttng.init_barrier %dp_95, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      ttng.tc_gen5_mma %do, %dp, %dp_56, %false, %true, %dp_95[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdes\n      ttng.wait_barrier %dp_95, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      ttng.inval_barrier %dp_95 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      %vis_96 = tt.expand_dims %ri_82 {axis = 1 : i32} : tensor<128xi32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xi32, #linear1> loc(#loc246)\n      %vis_97 = tt.broadcast %vis_96 : tensor<128x1xi32, #linear1> -> tensor<128x64xi32, #linear1> loc(#loc216)\n      %vis_98 = arith.cmpi sle, %vis_51, %vis_97 : tensor<128x64xi32, #linear1> loc(#loc216)\n      %vis_99 = tt.expand_dims %mi_83 {axis = 1 : i32} : tensor<128xi1, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xi1, #linear1> loc(#loc247)\n      %vis_100 = tt.broadcast %vis_99 : tensor<128x1xi1, #linear1> -> tensor<128x64xi1, #linear1> loc(#loc248)\n      %vis_101 = arith.andi %vis_98, %vis_100 : tensor<128x64xi1, #linear1> loc(#loc248)\n      %vis_102 = arith.andi %vis_101, %vis_54 : tensor<128x64xi1, #linear1> loc(#loc218)\n      %p_103 = tt.expand_dims %lse_90 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xf32, #linear1> loc(#loc249)\n      %p_104 = tt.broadcast %p_103 : tensor<128x1xf32, #linear1> -> tensor<128x64xf32, #linear1> loc(#loc250)\n      %ds = tt.expand_dims %dl_93 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xf32, #linear1> loc(#loc251)\n      %ds_105 = tt.broadcast %ds : tensor<128x1xf32, #linear1> -> tensor<128x64xf32, #linear1> loc(#loc252)\n      %st_106 = ttng.tmem_load %st_55 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc222)\n      %p_107 = arith.mulf %st_106, %p : tensor<128x64xf32, #linear1> loc(#loc219)\n      %p_108 = arith.subf %p_107, %p_104 : tensor<128x64xf32, #linear1> loc(#loc250)\n      %p_109 = math.exp2 %p_108 : tensor<128x64xf32, #linear1> loc(#loc253)\n      %p_110 = arith.select %vis_102, %p_109, %cst_0 : tensor<128x64xi1, #linear1>, tensor<128x64xf32, #linear1> loc(#loc254)\n      %pb = arith.truncf %p_110 : tensor<128x64xf32, #linear1> to tensor<128x64xbf16, #linear1> loc(#loc255)\n      %pb_111 = ttg.local_alloc %pb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc255)\n      %dp_112 = ttng.tmem_load %dp_56 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc223)\n      %ds_113 = arith.subf %dp_112, %ds_105 : tensor<128x64xf32, #linear1> loc(#loc252)\n      %ds_114 = arith.mulf %p_110, %ds_113 : tensor<128x64xf32, #linear1> loc(#loc256)\n      %ds_115 = arith.select %vis_102, %ds_114, %cst_0 : tensor<128x64xi1, #linear1>, tensor<128x64xf32, #linear1> loc(#loc257)\n      %dsb = arith.truncf %ds_115 : tensor<128x64xf32, #linear1> to tensor<128x64xbf16, #linear1> loc(#loc258)\n      %19 = ttg.local_alloc %dsb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n      ttng.fence_async_shared {bCluster = false} loc(#loc220)\n      %dvT_116 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.init_barrier %dvT_116, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.tc_gen5_mma %dvT_79, %pb_111, %dvT, %dvT_71, %true, %dvT_116[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdes\n      ttng.wait_barrier %dvT_116, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.inval_barrier %dvT_116 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.fence_async_shared {bCluster = false} loc(#loc221)\n      %dkT_117 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      ttng.init_barrier %dkT_117, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      ttng.tc_gen5_mma %dkT_77, %19, %dkT, %dvT_71, %true, %dkT_117[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc<25\n      ttng.wait_barrier %dkT_117, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      ttng.inval_barrier %dkT_117 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      %row = arith.addi %qoff_36, %a_73 : i32 loc(#loc259)\n      %row_118 = arith.muli %row, %c8_i32 : i32 loc(#loc260)\n      %row_119 = arith.addi %row_118, %h_74 : i32 loc(#loc261)\n      %row_120 = arith.muli %row_119, %MAXKB : i32 loc(#loc262)\n      %row_121 = arith.addi %row_120, %0 : i32 loc(#loc263)\n      %20 = arith.muli %row_121, %c128_i32 : i32 loc(#loc119)\n      ttng.fence_async_shared {bCluster = false} loc(#loc113)\n      ttng.async_tma_copy_local_to_global %ds_desc_41[%20, %c0_i32] %19 : !tt.tensordesc<tensor<128x64xbf16, #shared>>, !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n      ttng.async_tma_store_wait {pendings = 0 : i32} loc(#loc113)\n      scf.yield %true : i1 loc(#loc120)\n    } loc(#loc304)\n    %mj = tt.splat %s1_26 : i32 -> tensor<64xi32, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc264)\n    %mj_58 = arith.cmpi slt, %rj_50, %mj : tensor<64xi32, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc264)\n    %krow = arith.extsi %rj_50 : tensor<64xi32, #ttg.slice<{dim = 1, parent = #blocked1}>> to tensor<64xi64, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc265)\n    %krow_59 = arith.muli %krow, %cst_7 : tensor<64xi64, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc266)\n    %krow_60 = arith.extsi %hk : i32 to i64 loc(#loc267)\n    %krow_61 = tt.splat %krow_60 : i64 -> tensor<64xi64, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc267)","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"2d40e1ce-1d9c-4c7e-afd6-f4b7f770b5b7","timestamp":"2026-10-18T11:22:40.902Z","tool_use_result":{"stdout":"__nvcc_device_query\nbin2c\ncrt\ncudafe++\ncuobjdump\nfatbinary\nnvcc\nnvcc.profile\nnvlink\nptxas\n      %dl_91 = tt.splat %dl : !tt.ptr<f32> -> tensor<128x!tt.ptr<f32>, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc244)\n      %dl_92 = tt.addptr %dl_91, %ri_82 : tensor<128x!tt.ptr<f32>, #ttg.slice<{dim = 1, parent = #linear1}>>, tensor<128xi32, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc244)\n      %dl_93 = tt.load %dl_92, %mi_83, %cst_9 : tensor<128x!tt.ptr<f32>, #ttg.slice<{dim = 1, parent = #linear1}>> loc(#loc245)\n      %st_94 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      ttng.init_barrier %st_94, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      ttng.tc_gen5_mma %q_76, %st_43, %st_55, %false, %true, %st_94[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.m\n      ttng.wait_barrier %st_94, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      ttng.inval_barrier %st_94 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc222)\n      %dp_95 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      ttng.init_barrier %dp_95, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      ttng.tc_gen5_mma %do, %dp, %dp_56, %false, %true, %dp_95[%true] {is_async} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable>, !ttg.memdes\n      ttng.wait_barrier %dp_95, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      ttng.inval_barrier %dp_95 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc223)\n      %vis_96 = tt.expand_dims %ri_82 {axis = 1 : i32} : tensor<128xi32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xi32, #linear1> loc(#loc246)\n      %vis_97 = tt.broadcast %vis_96 : tensor<128x1xi32, #linear1> -> tensor<128x64xi32, #linear1> loc(#loc216)\n      %vis_98 = arith.cmpi sle, %vis_51, %vis_97 : tensor<128x64xi32, #linear1> loc(#loc216)\n      %vis_99 = tt.expand_dims %mi_83 {axis = 1 : i32} : tensor<128xi1, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xi1, #linear1> loc(#loc247)\n      %vis_100 = tt.broadcast %vis_99 : tensor<128x1xi1, #linear1> -> tensor<128x64xi1, #linear1> loc(#loc248)\n      %vis_101 = arith.andi %vis_98, %vis_100 : tensor<128x64xi1, #linear1> loc(#loc248)\n      %vis_102 = arith.andi %vis_101, %vis_54 : tensor<128x64xi1, #linear1> loc(#loc218)\n      %p_103 = tt.expand_dims %lse_90 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xf32, #linear1> loc(#loc249)\n      %p_104 = tt.broadcast %p_103 : tensor<128x1xf32, #linear1> -> tensor<128x64xf32, #linear1> loc(#loc250)\n      %ds = tt.expand_dims %dl_93 {axis = 1 : i32} : tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear1}>> -> tensor<128x1xf32, #linear1> loc(#loc251)\n      %ds_105 = tt.broadcast %ds : tensor<128x1xf32, #linear1> -> tensor<128x64xf32, #linear1> loc(#loc252)\n      %st_106 = ttng.tmem_load %st_55 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc222)\n      %p_107 = arith.mulf %st_106, %p : tensor<128x64xf32, #linear1> loc(#loc219)\n      %p_108 = arith.subf %p_107, %p_104 : tensor<128x64xf32, #linear1> loc(#loc250)\n      %p_109 = math.exp2 %p_108 : tensor<128x64xf32, #linear1> loc(#loc253)\n      %p_110 = arith.select %vis_102, %p_109, %cst_0 : tensor<128x64xi1, #linear1>, tensor<128x64xf32, #linear1> loc(#loc254)\n      %pb = arith.truncf %p_110 : tensor<128x64xf32, #linear1> to tensor<128x64xbf16, #linear1> loc(#loc255)\n      %pb_111 = ttg.local_alloc %pb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc255)\n      %dp_112 = ttng.tmem_load %dp_56 : !ttg.memdesc<128x64xf32, #tmem, #ttng.tensor_memory, mutable> -> tensor<128x64xf32, #linear1> loc(#loc223)\n      %ds_113 = arith.subf %dp_112, %ds_105 : tensor<128x64xf32, #linear1> loc(#loc252)\n      %ds_114 = arith.mulf %p_110, %ds_113 : tensor<128x64xf32, #linear1> loc(#loc256)\n      %ds_115 = arith.select %vis_102, %ds_114, %cst_0 : tensor<128x64xi1, #linear1>, tensor<128x64xf32, #linear1> loc(#loc257)\n      %dsb = arith.truncf %ds_115 : tensor<128x64xf32, #linear1> to tensor<128x64xbf16, #linear1> loc(#loc258)\n      %19 = ttg.local_alloc %dsb : (tensor<128x64xbf16, #linear1>) -> !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n      ttng.fence_async_shared {bCluster = false} loc(#loc220)\n      %dvT_116 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.init_barrier %dvT_116, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.tc_gen5_mma %dvT_79, %pb_111, %dvT, %dvT_71, %true, %dvT_116[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdes\n      ttng.wait_barrier %dvT_116, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.inval_barrier %dvT_116 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc220)\n      ttng.fence_async_shared {bCluster = false} loc(#loc221)\n      %dkT_117 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      ttng.init_barrier %dkT_117, 1 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      ttng.tc_gen5_mma %dkT_77, %19, %dkT, %dvT_71, %true, %dkT_117[%true] {is_async} : !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable>, !ttg.memdesc<128x64xbf16, #shared, #smem>, !ttg.memdesc<25\n      ttng.wait_barrier %dkT_117, %c0_i32, %true : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      ttng.inval_barrier %dkT_117 : !ttg.memdesc<1xi64, #shared2, #smem, mutable> loc(#loc221)\n      %row = arith.addi %qoff_36, %a_73 : i32 loc(#loc259)\n      %row_118 = arith.muli %row, %c8_i32 : i32 loc(#loc260)\n      %row_119 = arith.addi %row_118, %h_74 : i32 loc(#loc261)\n      %row_120 = arith.muli %row_119, %MAXKB : i32 loc(#loc262)\n      %row_121 = arith.addi %row_120, %0 : i32 loc(#loc263)\n      %20 = arith.muli %row_121, %c128_i32 : i32 loc(#loc119)\n      ttng.fence_async_shared {bCluster = false} loc(#loc113)\n      ttng.async_tma_copy_local_to_global %ds_desc_41[%20, %c0_i32] %19 : !tt.tensordesc<tensor<128x64xbf16, #shared>>, !ttg.memdesc<128x64xbf16, #shared, #smem> loc(#loc113)\n      ttng.async_tma_store_wait {pendings = 0 : i32} loc(#loc113)\n      scf.yield %true : i1 loc(#loc120)\n    } loc(#loc304)\n    %mj = tt.splat %s1_26 : i32 -> tensor<64xi32, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc264)\n    %mj_58 = arith.cmpi slt, %rj_50, %mj : tensor<64xi32, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc264)\n    %krow = arith.extsi %rj_50 : tensor<64xi32, #ttg.slice<{dim = 1, parent = #blocked1}>> to tensor<64xi64, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc265)\n    %krow_59 = arith.muli %krow, %cst_7 : tensor<64xi64, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc266)\n    %krow_60 = arith.extsi %hk : i32 to i64 loc(#loc267)\n    %krow_61 = tt.splat %krow_60 : i64 -> tensor<64xi64, #ttg.slice<{dim = 1, parent = #blocked1}>> loc(#loc267)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GjomHdSNweGMTTWXVAQm2N","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":9,"estimated_tokens_delta":6,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"35e557d4-45ff-48cd-b029-48e947641f19"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":16,"estimated_tokens_delta":7,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"39839819-729e-4a0c-959b-f75f5c060707"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":4,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"6035e759-358c-42c4-8846-bb15a0c214bb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":26,"estimated_tokens_delta":6,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"582705b7-76ff-41b6-891c-4eb7ee9b92c3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":32,"estimated_tokens_delta":6,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ca23b691-9d8b-46ba-82fb-51ca2d0a20cd"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":37,"estimated_tokens_delta":5,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"7c1d38e9-c705-4043-ac3b-35226cd27363"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":45,"estimated_tokens_delta":8,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"f3b8ce00-e4f2-4f1b-b25c-132780098b64"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":52,"estimated_tokens_delta":7,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"24097390-82fd-42c1-a0e0-3a3691fb4764"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011M6q1Sk1CUB8vvcfkAvM7L","type":"tool_result","content":"  }\n#-}\n/workspace/exp_v1.py:45:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/exp_v1.py:45:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nTraceback (most recent call last):\n  File \"/workspace/prof.py\", line 6, in <module>\n    for _ in range(3): sol.kernel_fn(*case.args)\n                       ^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/exp_v1.py\", line 168, in kernel_fn\n    _dkdv[(HKV, nkb)](q, k, v, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, W, maxkb, nds, sm_scale,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n--\n  File \"/usr/local/lib/python3.12/dist-packages/triton/backends/nvidia/compiler.py\", line 321, in make_ttgir\n    pm.run(mod, 'make_ttgir')\nRuntimeError: PassManager::run failed","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"c4c397c9-871d-4626-a78d-fc03cfed3009","timestamp":"2026-10-18T11:23:25.146Z","tool_use_result":{"stdout":"  }\n#-}\n/workspace/exp_v1.py:45:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/exp_v1.py:45:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reproducer generated at `std::errs, please share the reproducer above with Triton project.`\nTraceback (most recent call last):\n  File \"/workspace/prof.py\", line 6, in <module>\n    for _ in range(3): sol.kernel_fn(*case.args)\n                       ^^^^^^^^^^^^^^^^^^^^^^^^^\n  File \"/workspace/exp_v1.py\", line 168, in kernel_fn\n    _dkdv[(HKV, nkb)](q, k, v, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, W, maxkb, nds, sm_scale,\n  File \"/usr/local/lib/python3.12/dist-packages/triton/runtime/jit.py\", line 370, in <lambda>\n--\n  File \"/usr/local/lib/python3.12/dist-packages/triton/backends/nvidia/compiler.py\", line 321, in make_ttgir\n    pm.run(mod, 'make_ttgir')\nRuntimeError: PassManager::run failed","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011M6q1Sk1CUB8vvcfkAvM7L","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ckNTUt6b741wCA1rTn","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"WS seems to be failing somewhere inside NVWSInsertAref, possibly due to the TMA store, the masked lse load, or in-kernel descriptor creation — warp specialization in Triton 3.7 is clearly fragile here. With only about 95 minutes left, I need to pick the most promising fix quickly, maybe simplifying the loop by swapping the dS TMA store for a plain pointer store.\n\nI'm also trying to figure out why BM=64 with 2 stages needs 287KB of shared memory — my rough tally of K, V, Q, dO, and the probability/ds buffers only gets to about 208K, leaving roughly 72K unaccounted for, maybe from pipelined lse/delta loads or extra double-buffering I'm not accounting for. I'm considering whether a more fundamental restructuring is needed, since TMEM still has spare columns and the loop is fully serialized — the real bottleneck may just be the per-iteration latency of the TMA Q load before the MMA can start.\n\nGiven Triton issues TMA loads and waits sequentially rather than in parallel, and waits right after each MMA, there's little room to manually reorder things for overlap within a single iteration. Since 2-stage pipelining doesn't fit in SMEM at BM=128, and I can't control which tensors get prefetched, I'm now considering whether splitting the per-iteration work differently — given the transposed dV^T = dO^T P computation at N=64 — might let each piece overlap better.\n\nI'm checking whether a dKdV kernel using BM=64 and BN=128 with the transposed orientation could reduce TMEM pressure, but the accumulator totals for S^T, dP^T, dV, and dK still overshoot the 512 budget at 640. I'm exploring whether splitting dV/dK accumulators into D-halves and computing S^T/dP^T twice could work around that, though it doubles that computation.\n\nThis approach costs 50% more FLOPs than the baseline (6 matmuls vs 4), so it's not viable. I'm also considering whether the M=64 TMEM layout assumption changes things with BN=64 instead, but the column counts still exceed 512 there too.\n\nSo orientation B with BN=64 under 1-CTA and hd256 seems to be the configuration that actually fits. The real challenge now is overlapping orientation B's loop iterations without warp specialization — manual software pipelining would require buffering both Q/dO for the next iteration while still processing the current one, but that doubles SMEM usage for those buffers, which doesn't fit given the existing 224KB already allocated across Q, dO, K, V, P, and dS.\n\nI'm realizing P and dS buffers become free once their respective MMAs complete, since they're just B operands feeding into dV^T and dK^T. That opens the idea of eliminating V from SMEM entirely by restructuring the dP computation as dP^T = V·dO^T instead, making V the A operand — which could let V live in TMEM instead of SMEM, freeing up significant space, though I need to check the TMEM budget for an A operand of that size.\n\nGoing down that path runs into trouble though: M=64 MMAs run at half throughput, and Triton doesn't support manually placing an operand into TMEM — only its automatic promotion pass does that, and only for register-sourced operands.\n\nSo instead I'm considering keeping Q/dO single-buffered but issuing their loads as early as possible, pipelining them right after the dV^T and dK^T MMAs finish so the DMA overlaps with ongoing compute.\n\nEstimating per-iteration cost with this overlap scheme, it comes to roughly 3350-4370 clocks depending on MMA throughput versus SMEM bandwidth limits — a huge improvement over the current ~11.6K clocks. Without warp specialization though, Triton's sequential wait-then-issue pattern for each load and MMA would still bottleneck things.\n\nLet me think about L2 traffic instead: Q and dO tiles get re-read roughly 64 times each across kv blocks, so total traffic comes to around 8.6GB, implying ~3.2 TB/s bandwidth if that's the bottleneck. Since programs handling nearby kv blocks for the same head stream through similar q-blocks in sync, L2 locality should actually be decent.\n\nTo pin down the actual bottleneck, I want to write some ablation variants of the kernel: one that skips storing dS, one that skips the softmax exp, and one that skips the dV/dK matrix multiplies entirely.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9cprU5HnnYasJmMeaSM","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing the dS store saves about 240us from the TMA wait, and dropping the dV/dK MMAs entirely cuts time to 1861us — meaning those two MMAs cost roughly 850us, while loads plus the S/dP MMAs and softmax account for the remaining 1861us across 66K iterations over 148 SMs, about 446 iterations per SM.\n\nI suspect the 128KB sequential load of Q and dO per iteration with a full wait is the real bottleneck, since L2-to-SMEM bandwidth per SM likely caps throughput there. Overlapping loads with compute via double-buffering seems blocked by the BM=128 SMEM budget, so I'm considering whether increasing BN to 128 to improve the load-to-compute ratio is feasible, though checking TMEM capacity for S, dP, dV^T, and dK^T at that size shows it overflows the budget.\n\nSince the dV^T/dK^T accumulators stay live for the whole loop, S and dP can't reuse that TMEM space, so BN=64 seems locked in for this orientation, meaning each iteration still pays 128KB of loads per 8.4M MACs. I'm now estimating that if per-SM TMA bandwidth is around 100 B/clk, those loads cost roughly 1300 clocks against an ideal ~2048-clock MMA, so without overlap this could add about 60% overhead — pushing me to think about running two CTAs per SM so one's loads mask the other's compute, and I'm starting to work out the SMEM footprint that would require.\n\nChecking the SMEM and TMEM budgets for BN=32 and BM=64 configurations, I find they barely fit but produce tiny MMA tile shapes, which would tank throughput — so that path looks unworkable, and GQA packing with BM=128 doesn't help since it leaves SMEM usage unchanged.\n\nI'm also looking into Triton's pipeliner options for controlling buffering, like `disallow_acc_multi_buffer` to stop the accumulator from being multi-buffered in TMEM, since there's no way to set per-load pipeline stages directly.\n\nGiven SMEM is already maxed at 256K with Q and dO double-buffered, I'm exploring whether splitting the Q tile by the D dimension into two halves with separate descriptors could help, but since both halves would still need double-buffering, this doesn't actually reduce the total SMEM footprint either.\n\nInstead I'm considering restructuring the loop to manually prefetch: issuing the TMA load for the next iteration's Q/dO right after the current iteration's MMAs are issued, rather than relying on Triton's automatic pipeliner, since Triton normally allocates a fresh buffer per load rather than reusing one.\n\nBut I realize this is really just a rotated version of the same loop with the same serialization issue. Multi-CTA clustering with multicast isn't available in Triton, and while adjacent kv blocks of the same head share the same Q/dO tiles, there's no mechanism for two CTAs on the same SM to share that data without a cluster abstraction.\n\nI'm also ruling out FP8 for Q/dO due to precision loss, and considering whether the tensor core could read Q and dO directly from TMEM as the A operand in the matmul, since Q as [128, 256] bf16-packed could plausibly live there.\n\nFor the transposed Q^T used in dK^T computation, the layout mismatch in TMEM makes this unworkable, especially since Triton doesn't expose explicit control over this. Instead I'm thinking about whether the Q and dO loads could be issued together upfront rather than sequentially waiting on each latency in turn, though Triton's codegen typically emits the copy-and-wait inline at each load call, so I'm unsure if early-issuing both loads is even expressible in the current API.\n\nI'm recalculating SMEM usage for a BM=64 config to see if a 2-stage pipeline could actually fit — adding up buffers for Q, dO, K, V, P, dS gives roughly 216K, but Triton reports needing 287K for that config. There's an unaccounted ~64K gap, possibly from extra multi-buffering the pipeliner is doing internally.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01TMyHzYeMrSVwC76tjv13iD","type":"tool_result","content":"4:#linear1 = #ttg.linear<{register = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16]], lane = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0]], warp = [[32, 0], [64, 0], [0, 32]], block = []}>\n16:#shared = #ttg.nvmma_shared<{swizzlingByteWidth = 128, transposed = false, elementBitWidth = 16}>\n17:#shared1 = #ttg.nvmma_shared<{swizzlingByteWidth = 128, transposed = true, elementBitWidth = 16}>\n20:#tmem = #ttng.tensor_memory_encoding<blockM = 128, blockN = 64, colStride = 1>\n180:    %st_43 = ttg.memdesc_trans %k_42 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable> loc(#loc205)\n188:    %dp = ttg.memdesc_trans %v {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable> loc(#loc207)\n229:      %dkT_77 = ttg.memdesc_trans %q_76 {order = array<i32: 1, 0>} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable> loc(#loc234)\n237:      %dvT_79 = ttg.memdesc_trans %do {order = array<i32: 1, 0>} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable> loc(#loc236)\nShell cwd was reset to /workspace","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"1d5f6cb7-d061-42ee-9197-f0c6756ec374","timestamp":"2026-10-18T11:24:58.359Z","tool_use_result":{"stdout":"4:#linear1 = #ttg.linear<{register = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16]], lane = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0]], warp = [[32, 0], [64, 0], [0, 32]], block = []}>\n16:#shared = #ttg.nvmma_shared<{swizzlingByteWidth = 128, transposed = false, elementBitWidth = 16}>\n17:#shared1 = #ttg.nvmma_shared<{swizzlingByteWidth = 128, transposed = true, elementBitWidth = 16}>\n20:#tmem = #ttng.tensor_memory_encoding<blockM = 128, blockN = 64, colStride = 1>\n180:    %st_43 = ttg.memdesc_trans %k_42 {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable> loc(#loc205)\n188:    %dp = ttg.memdesc_trans %v {order = array<i32: 1, 0>} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x64xbf16, #shared1, #smem, mutable> loc(#loc207)\n229:      %dkT_77 = ttg.memdesc_trans %q_76 {order = array<i32: 1, 0>} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable> loc(#loc234)\n237:      %dvT_79 = ttg.memdesc_trans %do {order = array<i32: 1, 0>} : !ttg.memdesc<128x256xbf16, #shared, #smem, mutable> -> !ttg.memdesc<256x128xbf16, #shared1, #smem, mutable> loc(#loc236)","stderr":"\nShell cwd was reset to /workspace","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01TMyHzYeMrSVwC76tjv13iD","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ctj8AwZUaxGXppRFN6","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm realizing that with the dV/dK MMAs included, BM=64 stage 2 needs 279K of shared memory and doesn't fit, while removing them makes it fit—so the pipelining likely requires extra buffering for P/dS (multi-staged) and possibly three stages for Q/dO since their async MMA usage extends buffer lifetimes.\n\nI'm now reconsidering whether a different decomposition entirely, like splitting into separate dK and dV kernels, might work better for Triton, and whether an M=64 orientation with a different TMEM layout could reduce the allocation pressure, though the SMEM math doesn't clearly favor it yet. I'm also wondering about keeping Q/dO resident longer to cut load costs since memory bandwidth seems to be the real bottleneck.\n\nI'm now considering swapping the loop order entirely, making Q/dO resident and looping over KV blocks instead, which would require atomic accumulation for dK/dV — but estimating the atomic traffic shows it's comparable to or worse than the current load cost, and atomics are far more expensive than loads, so this approach seems unfavorable.\n\nI'm also reconsidering whether splitting the backward kernel into separate dV and dK GEMMs by explicitly storing P and dS could help, structuring it as a two-kernel approach where the first kernel resembles a forward pass with Q/dO resident and streams K/V blocks.\n\nI realize the combined SMEM for dV/dK together is too large, so I should split into two separate GEMM kernels—one for dV (P^T·dO) and one for dK (dS^T·Q)—each fitting comfortably within SMEM budget across two pipeline stages, with clean M=128/N=256/K=128 MMA shapes that Triton should handle efficiently.\n\nCounting total matmuls across the backward pass (S, dP, dQ in kernel 1, plus dV and dK separately) gives five GEMMs, matching the expected FLOP count. I'm now estimating HBM traffic from writing and re-reading P and dS tiles—roughly 4.3 GB total—and checking whether that traffic can be hidden behind kernel 1's compute time or whether it becomes a bottleneck, especially for the 1×8K sequence shape.\n\nChecking memory budgets per kernel, I find kernel 1's SRAM usage with Q/dO resident plus K/V staged across two stages overflows the 192KB budget, so I'm trying alternate tiling with smaller BM to see if that fits instead.\n\nTrying GQA-packing where two heads share the same K/V tile doesn't help either since it just pushes the resident Q/dO tile size back up. The real constraint seems to be SMEM capacity against the fixed 64KB tile size for head dim 256, which points toward needing FA4's two-CTA split mode, so I'm now checking whether Triton's `num_ctas=2` option on Blackwell actually supports this kind of split-CTA MMA.\n\nI'm not confident the split-B-by-N approach works well in Triton, so that's too risky to pursue. Instead I'm going back to basics, breaking down the per-iteration timeline into its component stages (loads, MMAs, softmax, stores) and using ablation experiments—removing dV/dK MMAs or the dS store—to measure how much each stage contributes to the ~11.6K clock total.\n\nThat isolates dV+dK MMA cost at roughly 3.7K clocks and the store at ~1.1K, leaving loads plus S/dP and softmax at ~6.8K. I'm comparing the measured MMA duration against the theoretical peak—given the M/N/K dimensions and number of tcgen05.mma instructions needed—and finding the actual cost is 3-4x higher than ideal, suggesting significant pipeline issue/wait latency overhead.\n\nSince nothing overlaps within a single CTA per SM without warp specialization or pipelining, I'm stuck well below peak efficiency. The real fix is getting warp specialization working by diagnosing the NVWSInsertAref failure—I need to isolate which operation triggers it, possibly the device-side tensor descriptor creation, the masked scalar load of lse, or the integer division in the loop, so I'll try simplifying the loop incrementally to pinpoint the cause.\n\nAs an alternative, I'm considering fitting two CTAs per SM by shrinking footprint, but the SMEM and TMEM budgets don't work out cleanly—BM=128/BN=32 fits TMEM at 192 columns but blows SMEM past the limit with Q and dO both resident, and splitting Q/dO roles across two CTAs doesn't cleanly separate dV and dK computation since both need overlapping operands. So I'm now looking at ways to reduce SMEM footprint directly, perhaps by storing P differently.\n\nWarp specialization seems like the main hope here—I should figure out what breaks it. Let me build a minimal WS test kernel, trying it first with ABL=1 (no TMA store in loop) and then ABL=2.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9czR6sC2igfYtR3SxDa","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01SkaYny89VaigvJHeWnhK4z","name":"Bash","input":{"command":"cat > ws_test2.py << 'EOF'\nimport torch, triton, triton.language as tl, sys\ntriton.set_allocator(lambda size, align, stream: torch.empty(size, dtype=torch.int8, device='cuda'))\n\n@triton.jit\ndef k2(Q, K, OUT, T, n_it, V: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr):\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, D], strides=[D, 1], block_shape=[BM, D])\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, D], strides=[D, 1], block_shape=[BN, D])\n    if V == 0:\n        acc = tl.zeros([BM, BN], dtype=tl.float32)\n        for it in tl.range(0, n_it, warp_specialize=True, num_stages=2):\n            q = q_desc.load([it * BM, 0])\n            k = k_desc.load([it * BN, 0])\n            acc = tl.dot(q, tl.trans(k), acc)\n        tl.store(OUT + tl.arange(0, BM)[:, None] * BN + tl.arange(0, BN)[None, :], acc)\n    else:\n        k = k_desc.load([0, 0])\n        acc = tl.zeros([D, BN], dtype=tl.float32)\n        for it in tl.range(0, n_it, warp_specialize=True, num_stages=2):\n            q = q_desc.load([it * BM, 0])\n            s = tl.dot(q, tl.trans(k))\n            p = s.to(tl.bfloat16)\n            acc = tl.dot(tl.trans(q), p, acc)\n        tl.store(OUT + tl.arange(0, D)[:, None] * BN + tl.arange(0, BN)[None, :], acc)\n\nV = int(sys.argv[1]); BM = int(sys.argv[2])\nT = 8192; D = 256 if V else 128; BN = 64\nQ = torch.randn(T, D, device='cuda', dtype=torch.bfloat16)\nK = torch.randn(T, D, device='cuda', dtype=torch.bfloat16)\nO = torch.empty(max(D, BM), BN, device='cuda')\nk2[(1,)](Q, K, O, T, T // BM // 2, V=V, D=D, BM=BM, BN=BN, num_warps=4)\ntorch.cuda.synchronize()\nprint('ok', V, BM)\nEOF\nfor v in 0 1; do timeout 300 python ws_test2.py $v 128 2>&1 | grep -E \"^ok|Pipeline failed|error:|OutOfRes\" | cut -c1-200; done","description":"Test canonical WS GEMM loop vs chained-dot loop"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1659,"cache_read_input_tokens":136265,"cache_creation":{"ephemeral_5m_input_tokens":1659,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b9bec273-435b-41b1-9d24-c9d671f1e481","timestamp":"2026-10-18T11:26:45.606Z","request_id":"req_011Cg9czQhZXVMYyTcxZXSKh"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01SkaYny89VaigvJHeWnhK4z","type":"tool_result","content":"ok 0 128\n/workspace/scratch/ws_test2.py:5:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/scratch/ws_test2.py:5:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reprod","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"abf6737f-0c14-4433-8cf6-47ac50d50b73","timestamp":"2026-10-18T11:26:51.422Z","tool_use_result":{"stdout":"ok 0 128\n/workspace/scratch/ws_test2.py:5:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/scratch/ws_test2.py:5:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reprod","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01SkaYny89VaigvJHeWnhK4z","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9d1aJ3qXPQa3YGDgbAG","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The standard GEMM warp-specialized version works, but the chained dot pattern where S flows into P and then into a second dot using the transposed q fails. I suspect the issue is q being consumed by two MMAs with one transposed, so I'm considering whether loading q separately for each MMA would help, though that doubles memory traffic—maybe the real culprit is how the transposed buffer is being reused.\n\nI should test whether swapping the second dot's orientation, so it's dot(trans(p), q) instead, avoids the problem, which would confirm that transposed-buffer reuse specifically causes the failure.\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1395,"cache_read_input_tokens":137924,"cache_creation":{"ephemeral_5m_input_tokens":1395,"ephemeral_1h_input_tokens":0},"output_tokens":10,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"801ff02d-e320-4515-8cc2-ec14296aa848","timestamp":"2026-10-18T11:26:59.475Z","request_id":"req_011Cg9d1ZviXnuTyiWzzGGoA","thinking_duration_ms":6678,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9d1aJ3qXPQa3YGDgbAG","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Sa3Mdr3o5HDvWPrjcikKYH","name":"Bash","input":{"command":"cat > ws_test3.py << 'EOF'\nimport torch, triton, triton.language as tl, sys\ntriton.set_allocator(lambda size, align, stream: torch.empty(size, dtype=torch.int8, device='cuda'))\n\n@triton.jit\ndef k3(Q, K, OUT, T, n_it, V: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr):\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, D], strides=[D, 1], block_shape=[BM, D])\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, D], strides=[D, 1], block_shape=[BN, D])\n    k = k_desc.load([0, 0])\n    if V == 0:\n        acc = tl.zeros([BN, D], dtype=tl.float32)\n        for it in tl.range(0, n_it, warp_specialize=True, num_stages=2):\n            q = q_desc.load([it * BM, 0])\n            s = tl.dot(q, tl.trans(k))\n            p = s.to(tl.bfloat16)\n            acc = tl.dot(tl.trans(p), q, acc)\n        tl.store(OUT + tl.arange(0, BN)[:, None] * D + tl.arange(0, D)[None, :], acc)\n    else:\n        acc = tl.zeros([D, BN], dtype=tl.float32)\n        for it in tl.range(0, n_it, warp_specialize=True, num_stages=2):\n            q = q_desc.load([it * BM, 0])\n            q2 = q_desc.load([it * BM + BM, 0])\n            s = tl.dot(q, tl.trans(k))\n            p = s.to(tl.bfloat16)\n            acc = tl.dot(tl.trans(q2), p, acc)\n        tl.store(OUT + tl.arange(0, D)[:, None] * BN + tl.arange(0, BN)[None, :], acc)\n\nV = int(sys.argv[1]); BM = int(sys.argv[2])\nT = 8192; D = int(sys.argv[3]); BN = 64\nQ = torch.randn(T, D, device='cuda', dtype=torch.bfloat16)\nK = torch.randn(T, D, device='cuda', dtype=torch.bfloat16)\nO = torch.empty(D * BN, device='cuda')\nk3[(1,)](Q, K, O, T, T // BM // 2, V=V, D=D, BM=BM, BN=BN, num_warps=4)\ntorch.cuda.synchronize()\nprint('ok', V, BM)\nEOF\nfor v in 0 1; do timeout 300 python ws_test3.py $v 128 128 2>&1 | grep -E \"^ok|Pipeline failed|error:|OutOfRes\" | cut -c1-200; done","description":"Bisect WS failure: transposed reuse vs chained dots"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1395,"cache_read_input_tokens":137924,"cache_creation":{"ephemeral_5m_input_tokens":1395,"ephemeral_1h_input_tokens":0},"output_tokens":10,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e9e5ac70-b4d6-45ad-adc3-7edbc0ab6fc8","timestamp":"2026-10-18T11:27:04.629Z","request_id":"req_011Cg9d1ZviXnuTyiWzzGGoA"}
{"type":"system","subtype":"task_started","task_id":"b9jeahipc","run_id":"0mvdqqgsa-ae1d3e5f","tool_use_id":"toolu_01Sa3Mdr3o5HDvWPrjcikKYH","description":"Bisect WS failure: transposed reuse vs chained dots","is_backgrounded":false,"task_type":"local_bash","uuid":"50c37113-7920-4337-983e-ff04f793ff45","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Sa3Mdr3o5HDvWPrjcikKYH","type":"tool_result","content":"/workspace/scratch/ws_test3.py:5:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/scratch/ws_test3.py:5:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reprod\n/workspace/scratch/ws_test3.py:5:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/scratch/ws_test3.py:5:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reprod","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a3d31f75-8106-42d7-8d60-c18454226f8c","timestamp":"2026-10-18T11:27:10.228Z","tool_use_result":{"stdout":"/workspace/scratch/ws_test3.py:5:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/scratch/ws_test3.py:5:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reprod\n/workspace/scratch/ws_test3.py:5:0: error: Failures have been detected while processing an MLIR pass pipeline\n/workspace/scratch/ws_test3.py:5:0: note: Pipeline failed while executing [`TritonGPUAutomaticWarpSpecialization` on 'builtin.module' operation, `NVWSInsertAref` on 'builtin.module' operation]: reprod","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Sa3Mdr3o5HDvWPrjcikKYH","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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I'm also comparing this to the forward attention tutorial, where Q is loaded via descriptor outside the loop and still consumed inside a warp-specialized loop without issue, which suggests the root cause may be specific to how the MMA consumes the outside-loaded tensor in this backward kernel rather than a general rule against outside loads.\n\n","signature":"CAQSshYKEAgSGAI4AUIIdGhpbmtpbmcSDIc0l5bI9TuvdUn11RoMptbLEcH00RdfvlbzIjBJWG85Jt7nYdiraP7nPKwWRNm+AnRl8cfy2fU6cRSaEhEJg6Q9SwTyhOqFdmRdh9wqzxV83Vz6WuehBcBJaHzULy2qPSyVnl/49XJQdjlTBQpLMF22rvEmMoqKGoq7b1xwWX7jvl+U4in/5X7KsOUwhoXp3C8lrsTD4m3PD9os+/Xvg+TtL3CtOc+4KWGX9AoiSjJoxmxn2fI2CdKIQa5qCVrncheTUTz5IcL+UTC60NpdibrUiFc0/+uBo0TyFybMgDEpkshKzgp+oCGay3dk6DICthMKgdjh6kiqqm0TNrrVTIFbvyIBlv84rLJItagWU63sicqljZR7q+7ng/XfBrqtrwcihPa7+1+Y2RKTkqPD0NeDlJ2abCFwYopLjZnT/H5fki/MeuOpYwnNEksM9b9qS8Q3/r+qI/x16II9Sgrjiaqsi0Di1AQ9RZY9NVAGIptdWjZ66a8Hyj4k4KcdKThXMxWFZzMjOoEmP03iV9KgjQyMDuvXO0bCx5ZuoXLZh7+AiM+aficVJXbIPxj9BUwSm+5x5UoutVF+enGMMrXp+xIUyepadZXLjdTq0ZhTi9W0f7O2JsbTGVggygbcFynlsPzaO26sr4+C755+aBzpMSqdVr8qmdk3N8ZmKKO9xl1l1jMGh2eomxDf7PLlGO1swr+P0joTC7cq8lidmnaa7CYdanw+J5hkTxD5Hw+/bGBNQTlZrVhdWrMFOiw/n2/ClniQpFTxxKbT9oz9nOy5t/qL39dwsYV79o+GF1A6hV5SNea2D9JgKFMFw9n3rTdiWcG7QaVFDHhO06/hs0lYRIjmrNA+D7+Z3WO8v7A9bx0UMThhQPLgYSC6YyNs9gMaaZ3xC1D+65eDqbeWF3MP+hO4L11Y9ToKBsanjlbKaQ07MOn1Bz61V40GaU1lG5L9aRARaW33X5MG4MBWfJEtU/INunR0SWZ2JomS0ca3KYX5Sw18mZ5W+DXKmsE/Wf/HDcxmaQAPahH8B1eKdJZsjMCUd4ER+Opvcw3nIGGDnaVLOkERVDNdgXyeFg1X69wpDeKGVT8JySnQVpHtS/roLwP/4iulLMMXN7YbNgyzrgQCmKEI75jHoOy/beY1AflApsiEDk4NhUg0ZEXj5kRCmRmo46bsUzcl965tBmYbzU9O/sKvM9O9VfWaYn0Qu2TDoTXDgkwyaaBlnDfM9gS/6Ucqmgby8pUU3w6V+BzUHurimdhl0D7C1kZEvqxVbGfGTzjAjHOv22L5bvGXN1zlc80eZKcQnqCRU4LLi34nO7J5zsnn23DdUlOqjRRIKJ6b+XerhW4f8AiDUPmoc8suMdlDPOLzTijlNzHzVRW6wZN5/Q5LQIM4yhSQ8VLnXlX/3P6yqcM9xRSeUTJvk0/2fwJ1+TdHx3JlFrCGZ/ofYlzbDgdjDUWptWVUNzF+ai4hr4HUipE+fRSwldk9eHgOgFTYje071cWitlnM3WuHrGNt6LHbSOvnDpLz7v/DkDPlf2E98jK24QOSgNH+hL78sToYY1iYQqKYOwBenYjKxfUpAl4hkwZjv7yGYIDKX76DI8/2zDOuiRblNvcgrHJ6qNdV4DH1C11XoVK8hp7Y1U172+EWOTib2ybX/RR/PMHyxzlGYDzHjxCjfhC0SDWeObQ1mOIdE2c5nHBLphFmX7p9SkKB30bwIMtJTNAMtRdNlX9ZNZmeoX6U5v1sPvunhW8u43VsclljVqwC4XIvbrYfIwTBIBV86jzwnoraxrNolZJysXwB8U8aGcUFph0L/jPx3BfrdBGD7KZfGwvQKIw4yBIN1iPVkPksc0WcqtalAWzerCK3DtTbVX+MnKLQwv9NMWXXTFgU8ayl5H1kCEMRwvyf1RzGq0v/ueICi76eluF1lhdZSzX3p+oa2UliU9b6KeVj9Hnz4U3jqPd5AApij9QQHFbZyyZbr/e7nvzXRJxTQpjgaC7hehDT7YM/vxJ6NCdjRnzMys0VeBsl78ziOt9T9DINKKBrsctYrBrtS4QcwBUrBrA+L+yYx4u7VmWi13RildTwvPwTqfHcGi8cZSRAp9xWx2Lw0YYY46Py6RqtjoROnC1zYs1wnQ7kB2hwW5C4sszt2m7FJamOZG8J9MbOhYQShsY84ASzn86CnhM4bevhOuN2GN5qHnfmaFyoOOkcx6qaB/5KZ+NLQHZrGU5a9ko6usPi7ronxqvMPR0nfS2uET5WeQhavvgDeLZqIubeFYvUn+nV2hMDUvuwRV6UpajppwtBQNSePvq6G/JKozYwuwZzCZjTzBnEdHON3JHItwg82U4mUltP7UGLY1KpmhKTrPBV06nXZvBwjIXxqUnu9xdkV1NGrGFTcbnvuvdf5/YSXxNZkw1sxFRnGHcovpeGfxvXfdu51XXNPeqBCusXaWcz9cNmJydoISgMBTpHaA+8TaQeybSld0md+zdPNWD7BZmlPEOeksLSi1FB3DYBCNG1ktxuZnYOAJmeMbIIG2DX8f5C9O5GgUai0W2238/pnsJhQ22ZCThbkyHG6RGsFpogC54IwapctZnpnd+4rwpv7HxscRVwVes1AnSKVed1UMHhRM2JcA6vsH1GMZJOySSH+caGDwFvw7bMHEFQvAiSMDFOo89ycElRY0gIGYJWo/L5y8lTORwBQQkfPVJ9Jys7olj4xeJgu+mHVmVrwomBWGlQSqVQxtr+/V036ynGFLQktCHgcfj4iz8vsgj1CACVNrn4KNKwxQpRm3aD63jdgy4agMZZ9C59B5zSnKDoXhwMFqEOdtRe/+YBgO1GuI4h/Hq6ORI+qfMTor5xKhJpNaghfJwxk6fbayLHqaoqTtUibCIK01LqBs+os8aGD+xvYsDehdUPU2XH/RnFNkCC3gaaY3yMgJjJdmIxdsHT/gRP+vfecB8wCzOag9P5GD4dA9m/XC0nPUG0Ll04FhICw0KGNLoPoNGk4neMsyGBXsln2bpemZfo+YhMF2m497DRZpXyOcovgD6qz4GBaVYHdXqhI+fhuWv/NBe6MK/WsvfxB5gICb/QZGXKMyF4h9AKEcz5qmFcUVVrSGc7H09tahJ6gQYPzkAnZVMDFUrhpLgprbJkTtiVVwU2KWShS+38THPeSFUbeK5vInKQkBqAIbIpbG8dKzk+CxnH5mFS9/8gJbEeJcyiAND8t8ryWwniYCxkpPxoXytJ/rVPon0evslenFa7e6vq2aF9jzryCGHeN6G9EdeyUViIsO87nmwsunA0MGWCj5B0XJ0rPqoevMm5xNQZZ6yABd8/Gt2lZxMf5h0TwL6Ic9TIji1T+0r/dumcXhLNBdgu1+6kTb7KzqVEDfNzrbpptYcJQRYHe//xF2q0UNMR+NsQ0QoEEDhQtLxyK3Ix29pD2Fa2WVv/qNNWqgMNqSeiRiRzSKq9uQHJVQvgNs66L5Ju6sVWYSaqjM9FVezsm6dUEgGBWGyi8Bc0l+GuNcntOixFiWn0b9fY5pNKhlcaB9cU9iNfaWUuoVrqqkVcd3gL0nJE6Tu32ZxroczlC1ORgcmqNIZMYDWn2VeGl2FTi1W+gzzcsEQMK7U/qcyRAiRhz5GvwgdKfQzL8Qn/xNd4xW7+gLluDV0ASueAwbuyT5zy5q9aia7oloRrW+caZWBSVThUH0hox2xmy8aEfDCCxlqye6j0MpT1UHjbITohxXQQrj+jCWgF5lbY9VTgHZZhxH0lGj2PM6qmwJHxzCxSpKfZOdqBZXpjtD3YpQYTUhF6tCnBLJRxLXFExTPRGAE="}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1294,"cache_read_input_tokens":141176,"cache_creation":{"ephemeral_5m_input_tokens":1294,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"8eaaa310-f1e2-4138-9893-da30f1264d01","timestamp":"2026-10-18T11:27:35.343Z","request_id":"req_011Cg9d43KohADKmGmJUAxAw","thinking_duration_ms":9301,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9d43hP3Z24BFXx6K3tS","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XZrKsbbeLbvgd2ZLYtLP6k","name":"Bash","input":{"command":"cat > ws_test5.py << 'EOF'\nimport torch, triton, triton.language as tl, sys\ntriton.set_allocator(lambda size, align, stream: torch.empty(size, dtype=torch.int8, device='cuda'))\n\n@triton.jit\ndef k5(Q, KT, OUT, T, n_it, V: tl.constexpr, D: tl.constexpr, BM: tl.constexpr, BN: tl.constexpr):\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, D], strides=[D, 1], block_shape=[BM, D])\n    kt_desc = tl.make_tensor_descriptor(KT, shape=[D, T], strides=[T, 1], block_shape=[D, BN])\n    kt = kt_desc.load([0, 0])\n    acc = tl.zeros([D, BN], dtype=tl.float32)\n    for it in tl.range(0, n_it, warp_specialize=True, num_stages=2, disable_licm=(V == 1)):\n        q = q_desc.load([it * BM, 0])\n        s = tl.dot(q, kt)\n        p = s.to(tl.bfloat16)\n        acc = tl.dot(tl.trans(q), p, acc)\n    tl.store(OUT + tl.arange(0, D)[:, None] * BN + tl.arange(0, BN)[None, :], acc)\n\nV = int(sys.argv[1]); BM = int(sys.argv[2])\nT = 8192; D = int(sys.argv[3]); BN = 64\nQ = torch.randn(T, D, device='cuda', dtype=torch.bfloat16)\nK = torch.randn(D, T, device='cuda', dtype=torch.bfloat16)\nO = torch.empty(D * BN, device='cuda')\nk5[(1,)](Q, K, O, T, T // BM // 2, V=V, D=D, BM=BM, BN=BN, num_warps=4)\ntorch.cuda.synchronize()\nprint('ok', V, BM)\nEOF\nfor v in 0; do timeout 300 python ws_test5.py $v 128 128 2>&1 | grep -E \"^ok|Pipeline failed|error:|OutOfRes\" | cut -c1-200; done","description":"Test WS with pre-transposed K loaded outside loop"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1294,"cache_read_input_tokens":141176,"cache_creation":{"ephemeral_5m_input_tokens":1294,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"3a812b23-8b61-46c3-8b4f-474248b7f2b7","timestamp":"2026-10-18T11:27:40.010Z","request_id":"req_011Cg9d43KohADKmGmJUAxAw"}
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Writing the warp-specialized dKdV kernel file now...\n\n","signature":"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"}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1787,"cache_read_input_tokens":142470,"cache_creation":{"ephemeral_5m_input_tokens":1787,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"16feca38-55db-483c-b706-cbd87002e0ce","timestamp":"2026-10-18T11:27:55.864Z","request_id":"req_011Cg9d5NS2MaEjazMjmkCv5","thinking_duration_ms":11626,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9d5Nt53eBykHRQ1bb5Y","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I've identified the crash cause: it occurs when K/V are loaded once before the loop and transposed inside it, but works if pre-transposed to [D, T] layout. I'll now build the warp-specialized dK/dV kernel using this approach, with a prep kernel to write Kᵀ and Vᵀ.\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":1787,"cache_read_input_tokens":142470,"cache_creation":{"ephemeral_5m_input_tokens":1787,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"6d47615c-0e21-446f-a32c-c2980cd11450","timestamp":"2026-10-18T11:27:55.874Z","request_id":"req_011Cg9d5NS2MaEjazMjmkCv5","narration_block_indexes":[0],"thinking_duration_ms":8,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9d5Nt53eBykHRQ1bb5Y","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01BPDknRvz8MHAhtNBgUftYk","name":"Bash","input":{"command":"cd /workspace && python - << 'EOF'\nsrc = open('sol_v1.py').read()\n# prep: also transpose K and V\nsrc = src.replace('''@triton.jit\ndef _locate''', '''@triton.jit\ndef _tpose(K, V, KT, VT, T, TP, HKV: tl.constexpr, D: tl.constexpr, BT: tl.constexpr):\n    pid = tl.program_id(0)\n    hk = tl.program_id(1)\n    rt = pid * BT + tl.arange(0, BT)\n    m = rt < T\n    rd = tl.arange(0, D)\n    row = (rt.to(tl.int64) * HKV + hk) * D\n    kk = tl.load(K + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n    vv = tl.load(V + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n    dst = (hk * D + rd).to(tl.int64)[:, None] * TP + rt[None, :]\n    tl.store(KT + dst, tl.trans(kk), mask=m[None, :])\n    tl.store(VT + dst, tl.trans(vv), mask=m[None, :])\n\n\n@triton.jit\ndef _locate''')\nsrc = src.replace('''def _dkdv(Q, K, V, DO,''', '''def _dkdv(Q, KT, VT, DO,''')\nsrc = src.replace('''    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(V, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    k = k_desc.load([j0, hk * D])\n    v = v_desc.load([j0, hk * D])''', '''    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, T], strides=[TP, 1], block_shape=[D, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, T], strides=[TP, 1], block_shape=[D, BN])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    kt = kt_desc.load([hk * D, j0])\n    vt = vt_desc.load([hk * D, j0])''')\nsrc = src.replace('''        st = tl.dot(q, tl.trans(k))\n        dp = tl.dot(do, tl.trans(v))''', '''        st = tl.dot(q, kt)\n        dp = tl.dot(do, vt)''')\nsrc = src.replace(\"DK, DV, DS, CU, n, T, W, MAXKB, NDS, sm_scale,\\n          H:\", \"DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\\n          H:\")\nsrc = src.replace(\"BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\\n    hk = tl.program_id(0)\",\n                  \"BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr, WS: tl.constexpr):\\n    hk = tl.program_id(0)\")\nsrc = src.replace(\"for it in range(0, G * na):\", \"for it in tl.range(0, G * na, num_stages=STAGES, warp_specialize=WS):\")\nsrc = src.replace(\"def kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\",\n \"import os\\nCFG = [int(x) for x in os.environ.get('CFG', '1,1,4').split(',')]\\n\\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\")\nsrc = src.replace(\"BM, BN = 128, 64\", \"BM, BN = 128, 64\\n    ST, WS, NW = CFG\\n    TP = triton.cdiv(T, 8) * 8\\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\")\nsrc = src.replace('''    _dkdv[(HKV, nkb)](q, k, v, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BN=BN, NP=NP, num_warps=8, num_stages=1)''',\n'''    _tpose[(triton.cdiv(T, 64), HKV)](k, v, kt, vt, T, TP, HKV=HKV, D=D, BT=64, num_warps=8)\n    _dkdv[(HKV, nkb)](q, kt, vt, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BN=BN, NP=NP, STAGES=ST, WS=bool(WS), num_warps=NW)''')\nopen('exp_v2.py', 'w').write(src)\nEOF\nfor cfg in \"1,1,4\" \"1,0,8\"; do echo \"CFG=$cfg\"; CFG=$cfg timeout 900 python bench.py exp_v2.py 0,4 2>&1 | grep -E \"^[0-9]|geomean|Pipeline failed|error:|OutOfRes\" | cut -c1-200; done","description":"Build WS dKdV variant with transposed K/V and benchmark"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1787,"cache_read_input_tokens":142470,"cache_creation":{"ephemeral_5m_input_tokens":1787,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ea65acd2-082d-4162-804c-31b747a2c4cb","timestamp":"2026-10-18T11:28:08.183Z","request_id":"req_011Cg9d5NS2MaEjazMjmkCv5"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01BPDknRvz8MHAhtNBgUftYk","type":"tool_result","content":"CFG=1,1,4\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 508232, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\nCFG=1,0,8\n0 0: ok 3084.3 us  expert 1518  ratio 0.492\n4 4: ok 490.5 us  expert 302  ratio 0.616\ngeomean ratio 0.5504833201474386","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"466c7404-ed9b-4782-95fa-37b7c55d5324","timestamp":"2026-10-18T11:28:18.373Z","tool_use_result":{"stdout":"CFG=1,1,4\n    raise_(OutOfResources(self.metadata.shared, max_shared, \"shared memory\"))\ntriton.runtime.errors.OutOfResources: out of resource: shared memory, Required: 508232, Hardware limit: 232448. Reducing block sizes or `num_stages` may help.\nCFG=1,0,8\n0 0: ok 3084.3 us  expert 1518  ratio 0.492\n4 4: ok 490.5 us  expert 302  ratio 0.616\ngeomean ratio 0.5504833201474386","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01BPDknRvz8MHAhtNBgUftYk","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9d7z6CDp9aD9byPchzm","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The warp-specialized version compiles but needs 508KB of shared memory, way over budget — it seems to be double-buffering Q, dO, K/V, and P/dS separately rather than respecting a single-stage allocation, so I'm trying to figure out exactly where all that extra space is going.\n\nShrinking BM to 64 could cut the footprint roughly in half, but it's borderline and complicates the dQ and dKdV kernels since the dS tiles would need to be split into 64x64 halves matched against half-rows of a logical 128-row tile. I suspect the TMEM for S/dP is also double-buffered, which combined with dK^T/dV^T storage neatly accounts for the full 512 columns, so I want to check the compiled IR directly rather than keep guessing at the allocation math.\n\nThat half never getting written means it's left as garbage, corrupting dS and thus dQ downstream. One fix is making the dKdV kernel write an explicit zero half-tile for those fully-masked iterations, though that costs some extra wasted computation per odd kv block; alternatively I'd need the dQ kernel to handle this edge case directly, but GEMMs don't let me cleanly skip half the M rows within a tile.\n\nFor the windowed case I'm now working through whether the second half-row-block of a dQ tile actually gets covered by the lowest kv block index in range, checking the inequality between the row bound and the window-adjusted kv block boundary.\n\nI find the half might actually not see that kv block at all if everything falls outside the window — meaning the dKdV kernel would skip it and leave it uninitialized. Checking the symmetric case at the top boundary too, same failure mode appears: the first half-row-block gets fully masked out relative to the highest kv block, so dKdV skips it there as well. So this 64-row splitting scheme for dKdV doesn't safely cover both halves under windowing — I need a different approach to guarantee both halves get written.\n\nThis amounts to a small waste, maybe 6-12% for window attention, though skipping masked MMAs entirely would be tricky with WS conditionals. Rather than solving that correctness plumbing now, I should just test whether BM=64 WS is even fast enough to be worth it, running it first ignoring correctness to check timing.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01WSBohHjytihKiMWzoEKUkh","type":"tool_result","content":"\"shared\": 287048\n213:    %kt_43 = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n220:    %vt = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n281:    %dkT_73 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n284:    %dvT_75 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n287:    %q = ttg.local_alloc : () -> !ttg.memdesc<3x64x256xbf16, #shared, #smem, mutable> \n302:    %do = ttg.local_alloc : () -> !ttg.memdesc<3x64x256xbf16, #shared, #smem, mutable> \n317:    %pb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n324:    %dsb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n331:    %st_101 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n332:    %dp_102 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable>","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ba2728a0-14a4-41f0-99b0-67cd1260b836","timestamp":"2026-10-18T11:29:03.507Z","tool_use_result":{"stdout":"\"shared\": 287048\n213:    %kt_43 = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n220:    %vt = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n281:    %dkT_73 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n284:    %dvT_75 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n287:    %q = ttg.local_alloc : () -> !ttg.memdesc<3x64x256xbf16, #shared, #smem, mutable> \n302:    %do = ttg.local_alloc : () -> !ttg.memdesc<3x64x256xbf16, #shared, #smem, mutable> \n317:    %pb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n324:    %dsb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n331:    %st_101 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n332:    %dp_102 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01WSBohHjytihKiMWzoEKUkh","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dF9hLAD9o7uc6xiiJQ","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"With BM=128 in the WS 1-stage config, I'm at 233736 bytes, exceeding the budget by 1288 — so close. The base allocation of 128K+64K+32K only accounts for 229376, so there's about 4360 bytes of extra overhead from barriers and possibly staged lse/delta loads through shared memory that I need to track down and trim.\n\nI suspect the layout conversion scratch for the final transpose before the dK store could be sizable, though it should sit outside the main loop and get reused by the allocator if lifetimes don't overlap. I'm considering a few ways to shave bytes: combining the lse/delta loads into a single buffer, trying different warp counts since that changes scratch sizing, or removing the cross-warp reduction scratch used by the locate/qoff computations. I think the best path forward is to dump the TTGIR for this config and inspect every local allocation, even the small ones, to find where the extra bytes are hiding.\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":988,"cache_read_input_tokens":153665,"cache_creation":{"ephemeral_5m_input_tokens":988,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"cf751ba2-debf-4856-829d-66027beb15f1","timestamp":"2026-10-18T11:30:04.885Z","request_id":"req_011Cg9dF9KXLoxvCEWNtnH2P","thinking_duration_ms":7982,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dF9hLAD9o7uc6xiiJQ","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_011g8wVC6Hta9p5i7v249juY","name":"Bash","input":{"command":"rm -rf /tmp/tc3 && CFG=1,1,4,128 TRITON_CACHE_DIR=/tmp/tc3 timeout 900 python prof.py exp_v3.py 4 > /dev/null 2>&1; f=$(ls /tmp/tc3/*/_dkdv.ttgir); grep -n \"local_alloc\" $f | sed 's/loc(.*//' | cut -c1-160 | head -40; grep -n \"allocation.offset\\|ttg.shared = \" $f | head; grep -c \"convert_layout\" $f","description":"List all SMEM allocations in WS BM=128 kernel"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":988,"cache_read_input_tokens":153665,"cache_creation":{"ephemeral_5m_input_tokens":988,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"0e0ffc07-9afe-46fd-9e2b-ac1e9d6148fe","timestamp":"2026-10-18T11:30:04.895Z","request_id":"req_011Cg9dF9KXLoxvCEWNtnH2P"}
{"type":"system","subtype":"task_started","task_id":"b2i58hmhy","run_id":"0mvdqubvp-f870c81d","tool_use_id":"toolu_011g8wVC6Hta9p5i7v249juY","description":"List all SMEM allocations in WS BM=128 kernel","is_backgrounded":false,"task_type":"local_bash","uuid":"c0d92ecc-a919-43e1-81bd-41dd767892fe","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"b2i58hmhy","run_id":"0mvdqubvp-f870c81d","tool_use_id":"toolu_011g8wVC6Hta9p5i7v249juY","status":"completed","output_file":"","summary":"List all SMEM allocations in WS BM=128 kernel","uuid":"3a3d3160-e444-48fa-aef7-626a6e8eac67","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_011g8wVC6Hta9p5i7v249juY","type":"tool_result","content":"212:    %kt_44 = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n213:    %kt_45 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n219:    %vt = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n220:    %vt_46 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n253:    %st_63 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n258:    %st_66 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n264:    %dp = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n269:    %dp_71 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n275:    %dvT = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n278:    %dvT_75 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n282:    %dkT = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n285:    %dkT_78 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n295:    %q = ttg.local_alloc : () -> !ttg.memdesc<1x128x256xbf16, #shared, #smem, mutable> \n296:    %q_84 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n299:    %q_86 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n302:    %do = ttg.local_alloc : () -> !ttg.memdesc<1x128x256xbf16, #shared, #smem, mutable> \n303:    %do_88 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n306:    %do_90 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n309:    %pb = ttg.local_alloc : () -> !ttg.memdesc<1x128x64xbf16, #shared, #smem, mutable> \n310:    %pb_92 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n313:    %pb_94 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n316:    %dsb = ttg.local_alloc : () -> !ttg.memdesc<1x128x64xbf16, #shared, #smem, mutable> \n317:    %dsb_96 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n320:    %dsb_98 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n449:        %st_162 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n461:        %dp_168 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n472:        %dvT_173 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n485:        %dkT_179 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n5","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"9f0a44a1-2c81-456d-ab93-b2dda1b1a167","timestamp":"2026-10-18T11:30:09.577Z","tool_use_result":{"stdout":"212:    %kt_44 = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n213:    %kt_45 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n219:    %vt = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n220:    %vt_46 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n253:    %st_63 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n258:    %st_66 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n264:    %dp = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n269:    %dp_71 = ttg.local_alloc : () -> !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n275:    %dvT = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n278:    %dvT_75 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n282:    %dkT = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n285:    %dkT_78 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n295:    %q = ttg.local_alloc : () -> !ttg.memdesc<1x128x256xbf16, #shared, #smem, mutable> \n296:    %q_84 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n299:    %q_86 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n302:    %do = ttg.local_alloc : () -> !ttg.memdesc<1x128x256xbf16, #shared, #smem, mutable> \n303:    %do_88 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n306:    %do_90 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n309:    %pb = ttg.local_alloc : () -> !ttg.memdesc<1x128x64xbf16, #shared, #smem, mutable> \n310:    %pb_92 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n313:    %pb_94 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n316:    %dsb = ttg.local_alloc : () -> !ttg.memdesc<1x128x64xbf16, #shared, #smem, mutable> \n317:    %dsb_96 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n320:    %dsb_98 = ttg.local_alloc : () -> !ttg.memdesc<1x1xi64, #shared1, #smem, mutable> \n449:        %st_162 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n461:        %dp_168 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n472:        %dvT_173 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n485:        %dkT_179 = ttg.local_alloc : () -> !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n5","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_011g8wVC6Hta9p5i7v249juY","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_018ZAVenbUeU8d19omuGYqNh","type":"tool_result","content":"371:        %p_165 = ttg.convert_layout %lse_144 : tensor<128xf32, #blocked2> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n377:        %ds = ttg.convert_layout %dl_147 : tensor<128xf32, #blocked2> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n416:        %21 = ttg.convert_layout %dsb_183 : tensor<128x64xbf16, #linear> -> tensor<128x64xbf16, #blocked1> \n613:    %14 = ttg.convert_layout %dk_112 : tensor<64x256xbf16, #linear2> -> tensor<64x256xbf16, #blocked> \n619:    %19 = ttg.convert_layout %dv_113 : tensor<64x256xbf16, #linear2> -> tensor<64x256xbf16, #blocked> \n1:#blocked = #ttg.blocked<{sizePerThread = [1, 8], threadsPerWarp = [1, 32], warpsPerCTA = [4, 1], order = [1, 0]}>\n2:#blocked1 = #ttg.blocked<{sizePerThread = [1, 8], threadsPerWarp = [4, 8], warpsPerCTA = [4, 1], order = [1, 0]}>\n3:#blocked2 = #ttg.blocked<{sizePerThread = [1], threadsPerWarp = [32], warpsPerCTA = [4], order = [0]}>\n4:#linear = #ttg.linear<{register = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16], [0, 32]], lane = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0]], warp = [[32, 0], [64, 0]], block = []}>\n5:#linear1 = #ttg.linear<{register = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16], [0, 32], [128, 0]], lane = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0]], warp = [[32, 0], [64, 0]], block = []}>\n6:#linear2 = #ttg.linear<{register = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0], [32, 0], [0, 128]], lane = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16]], warp = [[0, 32], [0, 64]], block = []}>","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"4a209f6e-f762-46d5-8d55-098834912f82","timestamp":"2026-10-18T11:30:16.837Z","tool_use_result":{"stdout":"371:        %p_165 = ttg.convert_layout %lse_144 : tensor<128xf32, #blocked2> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n377:        %ds = ttg.convert_layout %dl_147 : tensor<128xf32, #blocked2> -> tensor<128xf32, #ttg.slice<{dim = 1, parent = #linear}>> \n416:        %21 = ttg.convert_layout %dsb_183 : tensor<128x64xbf16, #linear> -> tensor<128x64xbf16, #blocked1> \n613:    %14 = ttg.convert_layout %dk_112 : tensor<64x256xbf16, #linear2> -> tensor<64x256xbf16, #blocked> \n619:    %19 = ttg.convert_layout %dv_113 : tensor<64x256xbf16, #linear2> -> tensor<64x256xbf16, #blocked> \n1:#blocked = #ttg.blocked<{sizePerThread = [1, 8], threadsPerWarp = [1, 32], warpsPerCTA = [4, 1], order = [1, 0]}>\n2:#blocked1 = #ttg.blocked<{sizePerThread = [1, 8], threadsPerWarp = [4, 8], warpsPerCTA = [4, 1], order = [1, 0]}>\n3:#blocked2 = #ttg.blocked<{sizePerThread = [1], threadsPerWarp = [32], warpsPerCTA = [4], order = [0]}>\n4:#linear = #ttg.linear<{register = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16], [0, 32]], lane = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0]], warp = [[32, 0], [64, 0]], block = []}>\n5:#linear1 = #ttg.linear<{register = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16], [0, 32], [128, 0]], lane = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0]], warp = [[32, 0], [64, 0]], block = []}>\n6:#linear2 = #ttg.linear<{register = [[1, 0], [2, 0], [4, 0], [8, 0], [16, 0], [32, 0], [0, 128]], lane = [[0, 1], [0, 2], [0, 4], [0, 8], [0, 16]], warp = [[0, 32], [0, 64]], block = []}>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_018ZAVenbUeU8d19omuGYqNh","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dGiaXud5dz9TE56nqX","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I realize the layout conversion from TMEM row layout to blocked layout for the dS pointer store costs 16KB of scratch in the loop, plus smaller conversions for lse/delta, though that doesn't fully account for the overage so the scratch may be partially reused elsewhere. The fix would be storing dS directly in the linear layout without needing a conversion at all.\n\nActually I can't easily control that: Triton's coalescing pass inserts the conversion to get a layout optimized for global store coalescing, even though each thread already writes 128 contiguous bytes in the linear layout, which should be a fine store pattern on its own. One idea is to reuse the existing SMEM buffer from the MMA operand for the TMA store instead, since in the earlier TTGIR version the store used the same local_alloc buffer as the MMA.\n\nI'm now weighing other ways to shrink SMEM usage — maybe writing the store manually via inline asm, avoiding keeping P in SMEM, reducing TMEM-to-SMEM traffic, or seeing whether a pointer layout matching the linear layout can bypass the coalescing conversion.\n\nNone of these feel clean though, so I'm also considering whether the dS store could reuse the MMA operand buffer the way the non-warp-specialized version does, or whether dropping BM to 64 with warp specialization stages could free up enough room instead.\n\nAnother option is splitting the tile store into a shape matching the exact per-thread register/lane/warp structure, which corresponds to a blocked layout with specific sizePerThread, threadsPerWarp, and warpsPerCTA parameters. The issue is the coalesce pass wants to reshape this to use 8 elements per thread for 128-bit vectorized stores, which conflicts with the natural layout unless the pointer contiguity aligns properly.\n\nI'm also considering whether Triton's tensor slicing or reshape/split operations could break the store into smaller chunks matching the coalesced layout, but these tend to trigger their own layout conversions, so that path doesn't obviously help either.\n\nLooking at the dKdV kernel more carefully, dV^T still needs P in SMEM for the dO^T @ P matmul, and dV^T/dK^T can't share a single MMA since their A and B operands differ. I'm also weighing whether to avoid storing dS entirely and instead recompute dQ in a separate dedicated kernel pass.\n\nWith that split, the dKdV kernel loses the dS store so SMEM fits more easily, but the dQ kernel then needs to recompute S and dP via three extra matmuls with its own tight SMEM budget—bringing the total to seven matmuls. I want to first benchmark the warp-specialized BM=128 kernel without the dS store to see how it performs before committing to this split-kernel approach.\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":1482,"cache_read_input_tokens":157026,"cache_creation":{"ephemeral_5m_input_tokens":1482,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ec07ddf8-b4b0-41a7-a48b-2eab5b48f756","timestamp":"2026-10-18T11:30:45.284Z","request_id":"req_011Cg9dGiByVBbNUHUyY5f2i","thinking_duration_ms":27055,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dGiaXud5dz9TE56nqX","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01LJcSN1mr2mSmfsbfLficMy","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('exp_v3.py').read()\nsrc = src.replace(\"        tl.store(DS + dsp, dsb)\", \"        if ABL != 1:\\n            tl.store(DS + dsp, dsb)\")\nsrc = src.replace(\"STAGES: tl.constexpr, WS: tl.constexpr):\\n    hk = tl.program_id(0)\", \"STAGES: tl.constexpr, WS: tl.constexpr, ABL: tl.constexpr = 0):\\n    hk = tl.program_id(0)\")\nsrc = src.replace(\"WS=bool(WS), num_warps=NW, num_stages=ST)\", \"WS=bool(WS), num_warps=NW, num_stages=ST, ABL=int(os.environ.get('ABL', '0')))\")\nopen('exp_v3.py', 'w').write(src)\nEOF\nfor cfg in \"1,1,4,128\" \"2,1,4,64\"; do echo \"CFG=$cfg ABL=1\"; ABL=1 CFG=$cfg timeout 900 python prof.py exp_v3.py 0 2>&1 | grep -E \"_dkdv |Pipeline failed|error:|OutOfRes\" | cut -c1-200; done","description":"Time WS dKdV without dS store for both tile sizes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1482,"cache_read_input_tokens":157026,"cache_creation":{"ephemeral_5m_input_tokens":1482,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e9d9d5c8-0471-4d62-98d9-d67453139b89","timestamp":"2026-10-18T11:30:46.575Z","request_id":"req_011Cg9dGiByVBbNUHUyY5f2i"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dKujLvRE2GqLBHGYTi","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Testing BM=128 with single-stage warp specialization gives 3612us, much worse since there's no prefetch to hide load latency. BM=64 with 2 stages gets 1722us without the store, 1819us with TMA store, so that's clearly the better configuration to pursue. With time running short, I need to get BM=64 warp-specialized working correctly in solution.py first, then look for further optimizations.\n\nFor the dKdV kernel with BM=64, I realize the dS tiles are [128,64] in the dQ kernel, so I need to handle half-tile writes carefully — storing the two 64-row halves adjacently in memory so a [128,64] TMA load picks up both. The dKdV kernel's a64 range needs to be extended to ensure both halves of every 128-row tile needed by the dQ kernel actually get written for a given kv block.\n\nRows beyond the sequence end from an odd upper half get masked out and zeroed, which keeps things correct, and fully-masked iterations (like the window tail) just waste compute on zero contributions without breaking correctness.\n\nI'm now comparing pointer-store versus TMA-store timing for dS and sorting out the row index math for BM=64 half-tiles, where the row offset depends on the 128-tile's b_lo computation. I need to make sure b stays ≥ blo(a128) for every a64 the dKdV loop touches, otherwise the indexing would go negative.\n\nI confirm this holds since a128 ≤ a128_hi(b) is equivalent to b ≥ b_lo(a128), and the qoff formula for 128-blocks checks out too. Now I'm working out how many kv iterations the dKdV kernel needs per block and planning to restructure the BM=64 weight-stationary kernel cleanly, including the K^T/V^T transpose prep step, though I'm debating whether to merge that into one launch given the differing grid sizes for H versus HKV.\n\nI'll keep the transpose and main computation as separate launches for now even though the transpose overhead is noticeable relative to total runtime, and plan to revisit with a better layout later. Now I'm ready to write out the dKdV kernel with warp specialization and two pipeline stages, followed by the dQ 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dQ67HbXDH729179gDx","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm debugging why the dKdV kernel fails on shape 3, suspecting ragged sequence lengths cause misalignment since j0 isn't a multiple of 64. I'm checking whether TMA actually requires aligned starting coordinates for the K^T load, and I don't think there's such a constraint.\n\nI'm now planning to isolate the issue by testing shape 4 (aligned) versus shape 5 (ragged) to confirm raggedness is the real cause, and considering a synthetic test with an unaligned sequence length to reproduce the failure directly.\n\nThinking about the illegal instruction more, I wonder if it traces back to `setmaxnreg` register reallocation requiring full warpgroup participation — but early-return programs (where s >= n) exit before the warp-specialized region, so all warps should return together and that shouldn't desync. I'm now checking whether any programs in shapes 0-2 actually hit that early-return path given the grid sizing.\n\nI'm also double-checking the dS store indexing doesn't overflow int32 for shape 3's dimensions — it comes out around 13.4M rows, which is fine. Shape 3's distinguishing feature seems to be that max_seqlen is fixed at 3072 while other sequence lengths are randomized, so I want to write a quick synthetic test with custom cu_seqlens to isolate which specific property is triggering the crash.\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":1037,"cache_read_input_tokens":165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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dQ67HbXDH729179gDx","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Wy9kZepUdANankAPQUNNpL","name":"Bash","input":{"command":"cat > /workspace/edge.py << 'EOF'\nimport sys, torch, importlib.util, math\nimport task as T\nspec = importlib.util.spec_from_file_location('sol', sys.argv[1]); sol = importlib.util.module_from_spec(spec); spec.loader.exec_module(sol)\nfrom task_api import Case\ndef run(lens, Hq, Hkv, W, seed=0):\n    g = torch.Generator(device='cuda'); g.manual_seed(seed)\n    lens_t = torch.tensor(lens, device='cuda', dtype=torch.int64)\n    Tn = int(lens_t.sum())\n    cu = torch.zeros(len(lens) + 1, device='cuda', dtype=torch.int32); cu[1:] = torch.cumsum(lens_t, 0).to(torch.int32)\n    bf = torch.bfloat16; D = 256\n    q = torch.randn(Tn, Hq, D, generator=g, device='cuda').to(bf)\n    k = torch.randn(Tn, Hkv, D, generator=g, device='cuda').to(bf)\n    v = torch.randn(Tn, Hkv, D, generator=g, device='cuda').to(bf)\n    do = torch.randn(Tn, Hq, D, generator=g, device='cuda').to(bf)\n    o = torch.empty(Tn, Hq, D, device='cuda', dtype=bf); lse = torch.empty(Hq, Tn, device='cuda')\n    ml = max(lens)\n    T._tf32(T._forward, [q, k, v, o, do, lse, cu, ml, W])\n    dq = torch.full((Tn, Hq, D), float('nan'), device='cuda', dtype=bf)\n    dk = torch.full((Tn, Hkv, D), float('nan'), device='cuda', dtype=bf)\n    dv = torch.full((Tn, Hkv, D), float('nan'), device='cuda', dtype=bf)\n    args = [q, k, v, o, do, lse, cu, ml, W, dq, dk, dv]\n    exp = T.reference([a.clone() if torch.is_tensor(a) else a for a in args])\n    sol.kernel_fn(*args); torch.cuda.synchronize()\n    ok, st = T.check({9: dq, 10: dk, 11: dv}, exp)\n    print(lens, Hq, Hkv, W, 'ok' if ok else ('WRONG', st), flush=True)\ncases = eval(sys.argv[2])\nfor c in cases: run(*c)\nEOF\nCUDA_LAUNCH_BLOCKING=1 timeout 600 python edge.py sol_v2.py \"[([128], 2, 1, -1), ([100], 2, 1, -1), ([64, 64], 2, 1, -1), ([60, 68], 2, 1, -1)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-200","description":"Run small edge cases to find crash trigger"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1037,"cache_read_input_tokens":165741,"cache_creation":{"ephemeral_5m_input_tokens":1037,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"128e18ae-6048-4f18-91fe-7af6d76da8a3","timestamp":"2026-10-18T11:32:17.097Z","request_id":"req_011Cg9dQ5XpL2HLg9WD6VGxE"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dSDtuGD4ifNjTe4bvF","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm wondering if the crash at [60, 68] stems from the K^T column offset being unaligned for the TMA load, since starting at column 60 lands on a 120-byte boundary rather than 16-byte alignment, which TMA tiled mode may require for box start coordinates.\n\nI'm testing whether v1's row-major K layout avoided this because it used row coordinates instead of transposed inner-dim coordinates, which suggests a fix: pad the K^T buffer so each sequence starts at a 64-aligned column offset, accepting that the padding columns may contain garbage that gets masked out downstream but could risk NaNs if not initialized properly.\n\nSince the NaN values only appear in masked-out branches of `where` selects, they're effectively harmless, but I decide to zero-fill the pad columns in the transpose prep kernel for safety anyway. I'm designing that kernel so each program locates its kv block using the same logic as before, loads the K rows for that block (masking out-of-range rows), and writes them transposed into the padded buffer at a column offset equal to the block's global index times 64.\n\nThe total padded length TP equals the block count times 64, where block count accounts for the ceiling division plus any extra padding blocks. I'll move forward with implementing this, noting that the dQ kernel doesn't need this transpose since it already reads K in row-major order with aligned strides.\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":2353,"cache_read_input_tokens":166778,"cache_creation":{"ephemeral_5m_input_tokens":2353,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"83a7ddcc-8665-4e9d-93eb-fe29edd914b3","timestamp":"2026-10-18T11:32:41.609Z","request_id":"req_011Cg9dSDX5yfhK2Lqotd6Em","thinking_duration_ms":14469,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dSDtuGD4ifNjTe4bvF","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found the crash is caused by Kᵀ loads starting at unaligned columns for sequences not beginning on an 8-token multiple. I'll fix this by laying out Kᵀ/Vᵀ per 64-key block, aligned to global block index × 64 and zero-padded at sequence ends.\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":2353,"cache_read_input_tokens":166778,"cache_creation":{"ephemeral_5m_input_tokens":2353,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"7f8b7545-ad3c-4bbe-8deb-bf2f8d127254","timestamp":"2026-10-18T11:32:41.611Z","request_id":"req_011Cg9dSDX5yfhK2Lqotd6Em","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dSDtuGD4ifNjTe4bvF","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01XEWKmC5ZM9z28bR1JYC1jp","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('sol_v2.py').read()\nold_start = src.index(\"@triton.jit\\ndef _tpose(\")\nold_end = src.index(\"@triton.jit\\ndef _locate(\")\nsrc = src[:old_start] + src[old_end:]\n# new tpose after _locate/_qoff definitions (needs _locate)\ntpose = '''@triton.jit\ndef _tpose(K, V, KT, VT, CU, n, TP, HKV: tl.constexpr, D: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n    pid = tl.program_id(0)\n    hk = tl.program_id(1)\n    s, s0, s1, b = _locate(CU, n, pid, BN, NP)\n    if s >= n:\n        return\n    rt = s0 + b * BN + tl.arange(0, BN)\n    m = rt < s1\n    rd = tl.arange(0, D)\n    row = (rt.to(tl.int64) * HKV + hk) * D\n    kk = tl.load(K + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n    vv = tl.load(V + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n    dst = (hk * D + rd).to(tl.int64)[:, None] * TP + (pid * BN + tl.arange(0, BN))[None, :]\n    tl.store(KT + dst, tl.trans(kk))\n    tl.store(VT + dst, tl.trans(vv))\n\n\n'''\ni = src.index(\"@triton.jit\\ndef _dkdv(\")\nsrc = src[:i] + tpose + src[i:]\nsrc = src.replace(\"    kt = kt_desc.load([hk * D, j0])\\n    vt = vt_desc.load([hk * D, j0])\", \"    kt = kt_desc.load([hk * D, pid * BN])\\n    vt = vt_desc.load([hk * D, pid * BN])\")\nsrc = src.replace(\"kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, T], strides=[TP, 1], block_shape=[D, BN])\", \"kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\")\nsrc = src.replace(\"vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, T], strides=[TP, 1], block_shape=[D, BN])\", \"vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\")\nsrc = src.replace(\"    TP = triton.cdiv(T, 8) * 8\\n\", \"\")\nsrc = src.replace(\"    nkb = triton.cdiv(T, BN) + n\\n\", \"    nkb = triton.cdiv(T, BN) + n\\n    TP = nkb * BN\\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\\n\")\nsrc = src.replace(\"    _tpose[(triton.cdiv(T, 64), HKV)](k, v, kt, vt, T, TP, HKV=HKV, D=D, BT=64, num_warps=8)\\n\",\n                  \"    _tpose[(nkb, HKV)](k, v, kt, vt, cu_seqlens, n, TP, HKV=HKV, D=D, BN=BN, NP=NP, num_warps=8)\\n\")\nopen('sol_v2.py', 'w').write(src)\nEOF\ngrep -n \"kt = torch.empty\\|TP\\b\" sol_v2.py | head; CUDA_LAUNCH_BLOCKING=1 timeout 600 python edge.py sol_v2.py \"[([60, 68], 2, 1, -1), ([1, 2, 3, 130, 7], 4, 2, -1), ([300, 77], 4, 1, 50), ([1000], 2, 2, 0), ([513, 1], 8, 4, 100)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-250","description":"Use block-aligned transposed K/V layout, rerun edge cases"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2353,"cache_read_input_tokens":166778,"cache_creation":{"ephemeral_5m_input_tokens":2353,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"38d1386f-9d36-42ab-a9cf-858d82680331","timestamp":"2026-10-18T11:32:49.133Z","request_id":"req_011Cg9dSDX5yfhK2Lqotd6Em"}
{"type":"system","subtype":"task_started","task_id":"b8re6isee","run_id":"0mvdqxulz-dd29ecb3","tool_use_id":"toolu_01XEWKmC5ZM9z28bR1JYC1jp","description":"Use block-aligned transposed K/V layout, rerun edge cases","is_backgrounded":false,"task_type":"local_bash","uuid":"f40fcc7d-77bc-4a8a-873c-3bc5d5f539d7","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"b8re6isee","run_id":"0mvdqxulz-dd29ecb3","tool_use_id":"toolu_01XEWKmC5ZM9z28bR1JYC1jp","status":"completed","output_file":"","summary":"Use block-aligned transposed K/V layout, rerun edge cases","uuid":"cdd64ceb-95bc-4035-ae0c-655fa04f887b","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01XEWKmC5ZM9z28bR1JYC1jp","type":"tool_result","content":"45:def _tpose(K, V, KT, VT, CU, n, TP, HKV: tl.constexpr, D: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n57:    dst = (hk * D + rd).to(tl.int64)[:, None] * TP + (pid * BN + tl.arange(0, BN))[None, :]\n63:def _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\n84:    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n85:    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n171:    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n172:    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n181:    TP = nkb * BN\n182:    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n183:    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\nUnboundLocalError: cannot access local variable 'TP' where it is not associated with a value","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d76767ad-6174-4cdf-a352-b7bebd881518","timestamp":"2026-10-18T11:32:52.472Z","tool_use_result":{"stdout":"45:def _tpose(K, V, KT, VT, CU, n, TP, HKV: tl.constexpr, D: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n57:    dst = (hk * D + rd).to(tl.int64)[:, None] * TP + (pid * BN + tl.arange(0, BN))[None, :]\n63:def _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\n84:    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n85:    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n171:    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n172:    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n181:    TP = nkb * BN\n182:    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n183:    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\nUnboundLocalError: cannot access local variable 'TP' where it is not associated with a value","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01XEWKmC5ZM9z28bR1JYC1jp","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dUC2MC74Wb31cZGGpS","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01WRskQ9fttzWmH5g7zLq8v3","name":"Bash","input":{"command":"sed -n 165,195p sol_v2.py","description":"Show kernel_fn section"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3208,"cache_read_input_tokens":169131,"cache_creation":{"ephemeral_5m_input_tokens":3208,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"30f17e7d-eef4-4128-b8d3-3506943fbf99","timestamp":"2026-10-18T11:32:54.488Z","request_id":"req_011Cg9dUBboTVBFzwGzzq3sM"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01WRskQ9fttzWmH5g7zLq8v3","type":"tool_result","content":"def kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    triton.set_allocator(_alloc)\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    BM, BN = 128, 64\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    NP = max(16, triton.next_power_of_2(n))\n    has_w = window >= 0\n    W = window if has_w else 0\n    maxkb = triton.cdiv(max_seqlen, BN)\n    if has_w:\n        maxkb = min(maxkb, W // BN + 3)\n    nqb = triton.cdiv(T, BM) + n\n    nkb = triton.cdiv(T, BN) + n\n    TP = nkb * BN\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    nds = nqb * H * maxkb * BM\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    ds = torch.empty((nds, BN), device=q.device, dtype=torch.bfloat16)\n    sm_scale = D ** -0.5\n    _prep[(triton.cdiv(T, 64), H)](o, do, delta, T, H=H, D=D, BT=64, num_warps=8)\n    _tpose[(nkb, HKV)](k, v, kt, vt, cu_seqlens, n, TP, HKV=HKV, D=D, BN=BN, NP=NP, num_warps=8)\n    _dkdv[(HKV, nkb)](q, kt, vt, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, num_warps=4, num_stages=2)\n    _dq[(H, nqb)](k, ds, dq, cu_seqlens, n, T, W, maxkb, nds, sm_scale, H=H, HKV=HKV, HAS_W=has_w, D=D,\n                  BM=BM, BN=BN, NP=NP, STAGES=3, num_warps=8)","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"3529cc18-eace-47f7-a1be-42173100f804","timestamp":"2026-10-18T11:32:54.519Z","tool_use_result":{"stdout":"def kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    triton.set_allocator(_alloc)\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    BM, BN = 128, 64\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    NP = max(16, triton.next_power_of_2(n))\n    has_w = window >= 0\n    W = window if has_w else 0\n    maxkb = triton.cdiv(max_seqlen, BN)\n    if has_w:\n        maxkb = min(maxkb, W // BN + 3)\n    nqb = triton.cdiv(T, BM) + n\n    nkb = triton.cdiv(T, BN) + n\n    TP = nkb * BN\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    nds = nqb * H * maxkb * BM\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    ds = torch.empty((nds, BN), device=q.device, dtype=torch.bfloat16)\n    sm_scale = D ** -0.5\n    _prep[(triton.cdiv(T, 64), H)](o, do, delta, T, H=H, D=D, BT=64, num_warps=8)\n    _tpose[(nkb, HKV)](k, v, kt, vt, cu_seqlens, n, TP, HKV=HKV, D=D, BN=BN, NP=NP, num_warps=8)\n    _dkdv[(HKV, nkb)](q, kt, vt, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, num_warps=4, num_stages=2)\n    _dq[(H, nqb)](k, ds, dq, cu_seqlens, n, T, W, maxkb, nds, sm_scale, H=H, HKV=HKV, HAS_W=has_w, D=D,\n                  BM=BM, BN=BN, NP=NP, STAGES=3, num_warps=8)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01WRskQ9fttzWmH5g7zLq8v3","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dUMXbZ5SEiDmTQeRAu","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01FthThE5KYB1VJrdGEkXb5L","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('sol_v2.py').read()\nsrc = src.replace(\"\"\"    BM, BN = 128, 64\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n\"\"\", \"    BM, BN = 128, 64\\n\")\nopen('sol_v2.py', 'w').write(src)\nEOF\nCUDA_LAUNCH_BLOCKING=1 timeout 600 python edge.py sol_v2.py \"[([60, 68], 2, 1, -1), ([1, 2, 3, 130, 7], 4, 2, -1), ([300, 77], 4, 1, 50), ([1000], 2, 2, 0), ([513, 1], 8, 4, 100)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-250","description":"Fix kernel_fn and rerun edge cases"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1059,"cache_read_input_tokens":172339,"cache_creation":{"ephemeral_5m_input_tokens":1059,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"c556503e-e3a4-4323-81b0-ca13ea5be31d","timestamp":"2026-10-18T11:32:58.479Z","request_id":"req_011Cg9dULNPw6syLFwm8LTyw"}
{"type":"system","subtype":"task_started","task_id":"bda6c2rti","run_id":"0mvdqy1tg-fd11fb2e","tool_use_id":"toolu_01FthThE5KYB1VJrdGEkXb5L","description":"Fix kernel_fn and rerun edge cases","is_backgrounded":false,"task_type":"local_bash","uuid":"901dad45-b993-47f0-8604-ad2b2bf4d268","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"bda6c2rti","run_id":"0mvdqy1tg-fd11fb2e","tool_use_id":"toolu_01FthThE5KYB1VJrdGEkXb5L","status":"completed","output_file":"","summary":"Fix kernel_fn and rerun edge cases","uuid":"d1bd866e-2500-419a-86c3-afc5d916b48e","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01FthThE5KYB1VJrdGEkXb5L","type":"tool_result","content":"[60, 68] 2 1 -1 ok\n[1, 2, 3, 130, 7] 4 2 -1 ok\n[300, 77] 4 1 50 ok\n[1000] 2 2 0 ok\n[513, 1] 8 4 100 ok","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"6f1d0e4a-e0fd-4b20-9def-b716fcb2956e","timestamp":"2026-10-18T11:33:08.094Z","tool_use_result":{"stdout":"[60, 68] 2 1 -1 ok\n[1, 2, 3, 130, 7] 4 2 -1 ok\n[300, 77] 4 1 50 ok\n[1000] 2 2 0 ok\n[513, 1] 8 4 100 ok","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01FthThE5KYB1VJrdGEkXb5L","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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I'm also comparing against the expert's reference numbers for windowed shapes to see where our implementation diverges 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dcbK3Tquf62PMip69X","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Breaking down the timing further: removing the store saves about 100 us, while removing the dV/dK MMAs saves around 720 us. That leaves roughly 1123 us for the S and dP matmuls, data loads, and softmax, and I'm working out the matmul cost itself from the iteration count and tile dimensions.\n\nConverting that to per-SM throughput, I estimate the matmuls alone should only take about 481 us, so the extra time is likely coming from memory traffic — the repeated loading of Q/dO data each iteration. Computing the implied bandwidth suggests this is hitting an L2 bandwidth limit, meaning the real bottleneck is redundant Q/dO reloads across kv blocks rather than compute, and fixing it would require either a larger kv tile (which runs into TMEM capacity limits) or reducing data size with lower precision, which isn't viable here either.\n\nI'm also considering whether the real issue is actually TMA latency rather than raw L2 bandwidth — with only two buffering stages for Q/dO, the prefetch distance may be too short to hide L2 latency under load, and increasing the number of stages would need more shared memory than is available.\n\nBreaking down the SMEM budget, I try shrinking the K^T/V^T footprint with smaller tile sizes, but that forces more Q/dO stages and inefficient MMA shapes, pushing the total over budget again. I also consider whether packing GQA heads could cut down on K/V traffic, but since K/V are already resident, packing wouldn't actually reduce Q/dO movement.\n\nThe 8.6 GB of Q/dO traffic really seems baked into using 64 kv rows per block, whereas a two-CTA split with multicast-style loading could cut that traffic roughly in half. I'm now weighing a different structure entirely: a dQ-major fused kernel where Q and dO stay resident for a 128-row block while K/V stream through in smaller chunks, computing scores and intermediate gradients against the streamed tiles.\n\nI'm tracing through TMEM and SMEM budgets for this layout — storing P and dS for later dK/dV GEMM passes fits TMEM at 384-512 columns depending on double-buffering, but the SMEM math runs into the same capacity wall since Q/dO residency leaves little room for more than a single K/V stage plus staging buffers.\n\nSwitching to a q-major scheme with 128-row queries cuts K/V traffic in half per MAC, but still only allows one K/V stage, so there's no prefetch. Dropping to a 64-row query tile instead lets Q/dO residency shrink enough to fit two K/V stages plus the P/dS staging buffer comfortably within budget.\n\nI'm also considering whether splitting kv tiles into sub-blocks or pushing dK accumulators into registers instead of TMEM could relieve the memory pressure, but the TMEM capacity constraint keeps dominating these options.\n\nInstead, I'm reframing the approach around storing P and dS so the dKdV kernel becomes two clean GEMMs (dV = P^T·dO, dK = dS^T·Q), while a separate q-major kernel computes S, dP, P, dS, dQ and writes out P and dS. This gives a total of 5 GEMM-equivalent FLOPs, with extra memory traffic from storing and re-reading P and dS (roughly 1.07 GB each way).\n\nEverything with head-dim 256 in a single-CTA design seems to hit an SMEM wall though — keeping Q and dO resident is too large, and reducing block size just halves throughput. I'm starting to suspect the real bottleneck might be TMA latency from only having 2 pipeline stages rather than raw L2 bandwidth, so I want to test shrinking per-iteration SMEM to allow 3 stages, starting with an experiment that strips out the dV/dK MMAs entirely.\n\nWith time running low, I'm also wondering about actual L2 bandwidth on B300 versus H100, since that changes whether bandwidth or latency is the real constraint. Given limited time left, I'm weighing lower-effort options like load-balance ordering tweaks versus a masking-only approach.\n\nThe two heads in a group share K/V already, confirming current loop handling is fine. The dS store cost is unavoidable since it's needed downstream. Now I'm considering reordering the loop so consecutive programs hit the same Q/dO tiles for better L2 locality — currently kv blocks at different positions read disjoint q ranges simultaneously, so reordering the grid by head then kv block could improve cache hit rates across the ~148 concurrent programs.\n\nBut the data footprint per wave across 8 heads spans roughly 134MB of Q/dO, exceeding the ~126MB L2 capacity, which would force spillover to HBM — and at 7.7 TB/s, that extra 8.6GB traffic lines up almost exactly with the 1123us measured time for ABL=2. This suggests aligning the q-block iteration order across all programs in the same head group so they touch identical Q/dO tiles concurrently could meaningfully cut HBM traffic.\n\nLooking at the grid scheduling more closely: with ~148 concurrent programs spanning 8 kv heads across a range of b values, each program sweeps its own a-range starting from different offsets, so neighboring programs end up reading different q-blocks at any given timestep — which breaks the locality I want.\n\nEstimating the active window of Q/dO being touched at once: roughly 9 q-blocks × 128 rows × 16 heads × 1KB works out to about 19MB, comfortably inside L2, with each q-block getting reused across ~9 nearby programs. That suggests L2 locality could actually be fine as long as programs stay synchronized, but I'm now worried the LPT-style scheduling (heavier low-b programs launching first) could desync the timing and ruin that reuse.\n\nSince I can't directly measure L2 hit rate without profiling tools, I want to try flipping the iteration order to descending a, which forces every program of a given head to start at the same last q-block and march downward in lockstep -- maximizing tile reuse since all ~18 concurrent programs per head would hit the same q-block simultaneously, loading each tile from HBM only once.\n\nFor windowed attention the offset-by-one relationship between neighboring programs stays the same under descending order, so the change should just be a simple reindexing of the q-block loop variable within each head group.\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":795,"cache_read_input_tokens":178123,"cache_creation":{"ephemeral_5m_input_tokens":795,"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":"37478c68-e7d2-4bbc-909d-ce2267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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dhDLqcA7EMQfoL2fst","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The numbers barely moved, so L2 locality isn't the bottleneck here—something else is limiting it, maybe TMA latency, the dS store, or MMA throughput at this tile size. I want to test removing softmax from the dKdV kernel entirely to see if that's actually on the critical path.\n\nWorking through the ablated case (ABL=2, no dV/dK MMAs) at 1123us: per-iteration cost is roughly 2.4K clocks, and I'm trying to account for it between the S/dP MMAs (likely SMEM-bandwidth limited around 1024-1100 clocks) and the remaining ~1300 clocks, which should be dominated by whichever of MMA, loads, or softmax is the true bottleneck since the MMA partition no longer waits on softmax output in this ablation.\n\nBreaking that 2.4K clocks down further, I estimate MMA at ~1100 and softmax at ~500-700 clocks, leaving loads as suspiciously low-throughput at only ~27 B/clk per SM for 64KB per iteration -- which suggests this is latency-bound with just two pipeline stages, not bandwidth-bound, since a loaded L2 at ~1.2us latency under GPU-wide contention would naturally produce exactly this throughput. That points toward the fix being more stages in flight (more SMEM for buffering) rather than trying to reduce bytes moved.\n\nShrinking SMEM per stage by using smaller Q/dO tiles (BQ=32) runs into a hardware wall since tcgen05 MMA requires M≥64, ruling that out. Splitting the D dimension into two separate descriptor loads doesn't help either, since what actually matters is total bytes in flight across stages -- going from 2 to 3 stages doubles bytes in flight from 64KB to 128KB, meaning getting 3 stages with 64KB each would require 192KB of SMEM, which is likely too much.\n\nReleasing K^T/V^T from SMEM isn't viable since they're needed every iteration, and making dO/Q stage counts asymmetric isn't controllable. I'm now reconsidering the compute-to-bandwidth ratio: increasing BN (kv rows per program) to 128 would improve the MACs-per-byte ratio, but that blows up TMEM usage for dV^T and dK^T.\n\nTrying bf16 accumulation for S/dP to save TMEM space fails on precision grounds, so instead I'm exploring splitting dV and dK into separate kernels, each with BN=128 — checking if the TMEM budget fits when each kernel only needs to hold S or dP alongside its own accumulator.\n\nRunning the bytes-per-MAC math for this split: the dV kernel loading Q and dO per iteration comes out to the same 16 B/KMAC ratio as before, so no improvement. Trying the stored-P/dS approach instead, where dV accumulates from dO^T @ P per kv block — that actually comes out worse at 24 B/KMAC, so this path doesn't help either.\n\nSwitching to the q-major alternative with Q/dO resident and K/V streamed, the ratio improves to about 10.7 B/KMAC, but it requires too much TMEM for both tensors to stay resident simultaneously, limiting it to one stage. Now I'm considering splitting K/V across the D dimension to stream smaller tiles while accumulating S over sub-iterations, to see if that resolves the residency conflict.\n\nGiven the K slice is needed both early (for S) and late (for dQ), this streaming approach runs into an ordering problem and doesn't work cleanly. With limited time left, I'm shifting focus toward smaller practical wins: merging the prep and transpose kernels to save a launch, tuning the dQ kernel, possibly splitting masked and unmasked paths, and handling specific problematic shapes like the 753 vs 510 case.\n\nFor windowed shapes, the per-kv-block iteration count is small, so prologue/epilogue overhead (loading K^T/V^T, storing dK/dV, pipeline fill) dominates more than usual. I want to check the dkdv vs dq time breakdown for that shape to see where the cost actually lies.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dkGGXymeB44vxahyHf","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Looking at the timing breakdown, prep and transpose together account for about 7-8% of total runtime across both shapes, which is worth optimizing. I'm examining what the prep kernel does for a given shape, specifically how it reads the output and gradient-output tensors to compute the delta values.\n\nI estimate the achieved bandwidth is around 4.8-6 TB/s against an 8 TB/s peak, so there's headroom. Merging the prep and transpose kernels into one launch could save a few microseconds from reduced launch overhead, bringing total time closer to the theoretical memory-bound limit.\n\nI'm also wondering if the transpose step can be eliminated entirely by avoiding the warp-specialization failure a different way — loading K outside the loop without a descriptor failed with a different compiler error, so now I'm considering whether a descriptor with an already-transposed block shape could sidestep the issue.\n\nSince TMA can't transpose 16-bit data directly, the transpose has to happen via memdesc_trans in the MMA descriptor instead. I'm exploring swapping which operand plays A versus B in the matmul so K stays untransposed, which would produce the scores transposed — but then I'd need to check whether applying memdesc_trans to a register-sourced SMEM buffer that's not loop-invariant actually sidesteps the original warp-specialization failure.\n\nWorking through orientation choices: Q loaded in-loop with transpose seemed to work fine in earlier tests, so S^T = K·Q^T with K resident and Q transposed in-loop should be valid, as should dP^T = V·dO^T. For dV^T += dO^T·P, I need P = trans(P^T), which means transposing a register tensor — this could just be a relabeling of layout rather than real work, then feeding into local allocation.\n\nThis should also work for dK^T += Q^T·dS with B = trans(dS^T), and the dS store for the dQ kernel needs the transposed register tensor written out via TMA. The lse/delta broadcast now goes along columns instead of rows since everything is per-q. If this all holds, I can eliminate the separate transpose kernel and the extra KT/VT buffers entirely — worth trying despite the risk of hitting the same warp-specialization compile failure again, since it's a fairly contained edit.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dkGGXymeB44vxahyHf","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01W7v4aQhZiYF1QTf4SG5myx","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('sol_v2.py').read()\n# switch dkdv to S^T = K Q^T orientation, K/V loaded row-major (no transpose kernel)\nsrc = src.replace('''    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])''',\n'''    k_desc = tl.make_tensor_descriptor(KT, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    v_desc = tl.make_tensor_descriptor(VT, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])''')\nsrc = src.replace('''    kt = kt_desc.load([hk * D, pid * BN])\n    vt = vt_desc.load([hk * D, pid * BN])''', '''    kk = k_desc.load([j0, hk * D])\n    vv = v_desc.load([j0, hk * D])''')\nsrc = src.replace('''        st = tl.dot(q, kt)\n        dp = tl.dot(do, vt)\n        vis = (rj[None, :] <= ri[:, None]) & mi[:, None] & (rj[None, :] < s1)\n        if HAS_W:\n            vis = vis & (ri[:, None] - rj[None, :] <= W)\n        p = tl.where(vis, tl.math.exp2(st * qk_scale - lse[:, None]), 0.0)\n        ds = tl.where(vis, p * (dp - dl[:, None]), 0.0)\n        pb = p.to(tl.bfloat16)\n        dsb = ds.to(tl.bfloat16)''', '''        st = tl.dot(kk, tl.trans(q))\n        dp = tl.dot(vv, tl.trans(do))\n        vis = (rj[:, None] <= ri[None, :]) & mi[None, :] & (rj[:, None] < s1)\n        if HAS_W:\n            vis = vis & (ri[None, :] - rj[:, None] <= W)\n        p = tl.where(vis, tl.math.exp2(st * qk_scale - lse[None, :]), 0.0)\n        ds = tl.where(vis, p * (dp - dl[None, :]), 0.0)\n        pb = tl.trans(p.to(tl.bfloat16))\n        dsb = tl.trans(ds.to(tl.bfloat16))''')\nsrc = src.replace(\"    _tpose[(nkb, HKV)](k, v, kt, vt, cu_seqlens, n, TP, HKV=HKV, D=D, BN=BN, NP=NP, num_warps=8)\\n\", \"\")\nsrc = src.replace(\"_dkdv[(HKV, nkb)](q, kt, vt, do,\", \"_dkdv[(HKV, nkb)](q, k, v, do,\")\nsrc = src.replace(\"\"\"    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n\"\"\", \"\")\nopen('exp_kq.py', 'w').write(src)\nEOF\ntimeout 600 python prof.py exp_kq.py 0 2>&1 | grep -E \"^ +_|Error|error:|failed\" | awk '{print $1, $2, $(NF-1)}' | head","description":"Try K-as-A orientation to drop transpose kernel"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2982,"cache_read_input_tokens":183995,"cache_creation":{"ephemeral_5m_input_tokens":2982,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"6a5ff83b-b658-472b-8b12-07a041ccf59d","timestamp":"2026-10-18T11:36:56.139Z","request_id":"req_011Cg9dkFuD4pjHTgsRkjK5W"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dp2mXpaMuxCo4euXxd","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The results are mixed across shapes—some save time, one gets worse by 38us—so overall it's roughly neutral and not worth pursuing. I'm now considering what else could yield a real improvement in the remaining time, starting with looking at the dQ kernel performance on shape 0.\n\nI'm thinking about trying BN=128 tiles with 4 stages for the dQ kernel to see if better memory staging helps, and also eyeing the dKdV kernel's TMA store overhead and the prep kernel's memory bandwidth headroom as other potential wins. I'm also working through the math on load imbalance for the G=8 shape 2 case, estimating iteration counts per SM to see how far off from ideal utilization it is.\n\nChecking the math, I find the program with b=0 has 512 iterations, which exceeds my earlier 457 estimate, so the critical path is actually bound by this longest-running program rather than total work — that explains why shape 2 takes 997 us instead of the lower expected value, while shape 0's longest program is only 256 iterations so it's fine. The fix would be splitting the G loop across two programs for G=8, each handling 4 heads, and combining the dK/dV partial results either through fp32 atomics into a workspace or by writing separate partial buffers that get merged afterward.\n\nWith GS=2 groups, each program writes fp32 partial dK/dV to a workspace, then a reduce kernel sums the partials into bf16 outputs. This doubles the number of programs to 512 against 148 SMs, giving a much better max-to-average ratio (256 vs 457), at the cost of roughly 15-20 us of extra memory traffic — a good tradeoff if it saves over 100 us on shape 2.\n\nI'm also checking other shapes: shape 0 with G=2 looks fine (256 max vs 892 avg), shape 3 is fine too, but a hidden case with G=8 and long 8K sequences with Hkv=2 pushes max program iterations up to 1024, which needs separate handling.\n\nThis confirms splitting reduces imbalance generally — I want a heuristic where GS scales with G, like GS = G//2 when G≥4, giving each program 2 heads and bounding partial buffer sizes to something like 4 × T × HKV × 256.\n\nI'm estimating the write/read cost of partial buffers for different GS values, settling on GS=2 as the cheaper option (~20 us vs ~40 us for GS=4), while GS=1 can skip the extra kernel entirely since it writes bf16 directly. Now I'm checking against the expert's numbers for packed-doc shapes (shape 3 and shape 5), where my current approach still trails their timings, so I'm reconsidering the LPT ordering strategy for grids over kv blocks in sequence order for packed documents.\n\nFor packed docs with uneven lengths, dispatching blocks in doc order causes a tail effect since heavy blocks from later, longer docs start late. I'm thinking about using LPT to sort blocks by descending workload, which would require a prep kernel to compute a permutation based on each block's remaining work, ranking blocks by comparing against all others—though I'm still working out how each program would efficiently determine its own rank in this scheme.\n\nOne prep program can build this permutation array in chunks, then the dKdV programs simply look up their assigned block id from it — likely a modest 5-10% gain on shape 3.\n\nWith limited time left, I should prioritize: the GS split for G≥4 cases looks like the clearest win (~10% on shape 2), LPT ordering is moderate effort for packed shapes, and dQ tuning is easy but small. I'll tackle the GS split first, then quickly do dQ tuning.\n\nFor the GS split, I'm restructuring the dKdV grid so each program handles a head-subgroup slice, writing fp32 partial sums to scratch buffers when the split factor is greater than one, otherwise writing bf16 directly as before. A separate reduce kernel will then sum across the split partials and produce the final bf16 output. Writing reduce kernel logic...\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":447,"cache_read_input_tokens":190022,"cache_creation":{"ephemeral_5m_input_tokens":447,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","infer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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dp2mXpaMuxCo4euXxd","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Removing the transpose kernel has negligible impact. For the Qwen shape, the dK/dV workload is bottlenecked by one program running 512 steps versus ~457 average, so I'll split dK/dV computation across 2 programs with fp32 partials and a small reduce kernel when groups have 4+ heads.\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":447,"cache_read_input_tokens":190022,"cache_creation":{"ephemeral_5m_input_tokens":447,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"5006e345-8410-4136-9c3b-8cf6fea47ff4","timestamp":"2026-10-18T11:37:54.764Z","request_id":"req_011Cg9dp2NUvrbjqnrUZeNmv","narration_block_indexes":[0],"thinking_duration_ms":3,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dp2mXpaMuxCo4euXxd","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01WpW4XWNe1GhdPFgvfK891w","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('sol_v2.py').read()\nsrc = src.replace('''def _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\n          H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n          BM: tl.constexpr, BQ: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr):\n    hk = tl.program_id(0)\n    pid = tl.program_id(1)''', '''def _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\n          H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n          BM: tl.constexpr, BQ: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr,\n          GS: tl.constexpr):\n    hk = tl.program_id(0) // GS\n    gs = tl.program_id(0) % GS\n    pid = tl.program_id(1)''')\nsrc = src.replace('''    G: tl.constexpr = H // HKV\n    R: tl.constexpr = BM // BQ''', '''    G: tl.constexpr = H // HKV\n    GL: tl.constexpr = G // GS\n    R: tl.constexpr = BM // BQ''')\nsrc = src.replace('''    for it in tl.range(0, G * na, num_stages=STAGES, warp_specialize=True):\n        g = it // na\n        r = it - g * na\n        h = hk * G + g''', '''    for it in tl.range(0, GL * na, num_stages=STAGES, warp_specialize=True):\n        g = it // na\n        r = it - g * na\n        h = hk * G + gs * GL + g''')\nsrc = src.replace('''    krow = (rj.to(tl.int64) * HKV + hk) * D\n    dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n    dv = tl.trans(dvT).to(tl.bfloat16)\n    tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n    tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])''', '''    krow = (rj.to(tl.int64) * HKV + hk) * D\n    if GS == 1:\n        dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n        dv = tl.trans(dvT).to(tl.bfloat16)\n        tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n        tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])\n    else:\n        off = gs.to(tl.int64) * T * HKV * D\n        tl.store(DK + off + krow[:, None] + rd[None, :], tl.trans(dkT * sm_scale), mask=mj[:, None])\n        tl.store(DV + off + krow[:, None] + rd[None, :], tl.trans(dvT), mask=mj[:, None])''')\n# reduce kernel\nsrc = src.replace('''@triton.jit\ndef _dq(''', '''@triton.jit\ndef _reduce(WK, WV, DK, DV, N, GS: tl.constexpr, BT: tl.constexpr):\n    off = tl.program_id(0).to(tl.int64) * BT + tl.arange(0, BT)\n    m = off < N\n    ak = tl.zeros([BT], dtype=tl.float32)\n    av = tl.zeros([BT], dtype=tl.float32)\n    for g in tl.static_range(GS):\n        ak += tl.load(WK + g * N + off, mask=m, other=0.0)\n        av += tl.load(WV + g * N + off, mask=m, other=0.0)\n    tl.store(DK + off, ak.to(tl.bfloat16), mask=m)\n    tl.store(DV + off, av.to(tl.bfloat16), mask=m)\n\n\n@triton.jit\ndef _dq(''')\nsrc = src.replace('''    _dkdv[(HKV, nkb)](q, kt, vt, do, lse, delta, dk, dv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                      H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, num_warps=4, num_stages=2)''',\n'''    G = H // HKV\n    GS = 2 if G >= 4 else 1\n    if GS == 1:\n        wk, wv = dk, dv\n    else:\n        wk = torch.empty((GS, T, HKV, D), device=q.device, dtype=torch.float32)\n        wv = torch.empty((GS, T, HKV, D), device=q.device, dtype=torch.float32)\n    _dkdv[(HKV * GS, nkb)](q, kt, vt, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                           H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, GS=GS,\n                           num_warps=4, num_stages=2)\n    if GS > 1:\n        N = T * HKV * D\n        _reduce[(triton.cdiv(N, 2048),)](wk, wv, dk, dv, N, GS=GS, BT=2048, num_warps=4)''')\nopen('sol_v3.py', 'w').write(src)\nEOF\nCUDA_LAUNCH_BLOCKING=1 timeout 600 python edge.py sol_v3.py \"[([60, 68], 8, 1, -1), ([1, 2, 3, 130, 7], 4, 1, -1), ([300, 77], 16, 2, 50)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-250; timeout 600 python prof.py sol_v3.py 2 2>&1 | grep -E \"^ +_\" | awk '{print $1, $(NF-1)}'","description":"Implement head-group split with fp32 partials, test"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":447,"cache_read_input_tokens":190022,"cache_creation":{"ephemeral_5m_input_tokens":447,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"dbb1af88-2540-4546-9496-0f0a005850f1","timestamp":"2026-10-18T11:38:07.972Z","request_id":"req_011Cg9dp2NUvrbjqnrUZeNmv"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01WpW4XWNe1GhdPFgvfK891w","type":"tool_result","content":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n_dkdv 949.496us\n_dq 186.516us\n_prep 27.168us\n_reduce 14.694us\n_tpose 7.258us","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b1194d70-0b1d-4ebb-9a75-87de85882f64","timestamp":"2026-10-18T11:38:21.750Z","tool_use_result":{"stdout":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n_dkdv 949.496us\n_dq 186.516us\n_prep 27.168us\n_reduce 14.694us\n_tpose 7.258us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01WpW4XWNe1GhdPFgvfK891w","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":1508,"estimated_tokens_delta":765,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"315f6800-9ab8-4f14-ae0d-0d807e2a4a78"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9dwqaok15b3s6VxGPyr","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"4 stages for dQ gives 263us vs 321us, shaving about 58us on shape 0, and prep stays around 25-27us since it's memory-bound at roughly 5.4 TB/s, which is fine. Five stages would need 240K which is too much, so I'm settling on 4 stages with num_warps being equal between 4 and 8, going with DQS=4.\n\nI briefly consider tiling K-dim to 128 by combining two consecutive dS tiles for larger TMA transfers, but the memory layout isn't contiguous in the right shape for that — it would need a 3D descriptor with permutation, which is too complex for the time I have, so I'll skip it. With about 37 minutes left, I'll just apply DQS=4, DQW=4 to get v4 and move on to testing before considering LPT ordering for packed shapes.\n\nNext I turn to the windowed dKdV shapes, estimating the iteration counts per kv block and per program — roughly 37 iterations × 2us plus prologue/epilogue overhead gives about 574us total across 7 waves of 1024 programs, which matches what I'd expect.\n\nI'm also thinking about the fully-masked half-tile iterations, which add roughly 5% overhead in the windowed case, and whether I could avoid the wasted MMA/softmax work by having the dQ kernel use smaller 64-row q blocks instead, though a conditional around the MMAs risks breaking warp specialization.\n\nUsing half-rate 64x64 MMAs for dQ would roughly double its GEMM time to ~400us, which is unacceptable. Instead I'm considering having the dKdV program zero-initialize the missing half-tiles with plain stores outside the warp-specialized loop, which would let the main loop's range shrink to exactly the needed 64-row span.\n\nWorking through the indexing: for a tile at (a128, b), its two halves are rows 2·a128 and 2·a128+1. If b is odd, the half row b-1 is fully causally masked and needs zeroing; at the window's far end, I need to zero halves beyond the last valid 128-row tile too.\n\nAt the sequence boundary, though, rows past the end aren't actually stored for dQ, so leftover garbage there doesn't matter since those rows get masked on write anyway.\n\nFor cases (i) and (ii) though, the garbage does land on real dQ rows that exist in the sequence, so zeroing is genuinely required there. The current approach of iterating and masking handles all this correctly, at the cost of roughly one extra iteration per odd causal kv block, which is negligible relative to the total iteration count.\n\nFor the windowed case, that extra iteration overhead is more meaningful, maybe 5-8% per block, so it's worth fixing by zeroing stores outside the loop and adjusting the loop range instead. I'll fold this optimization together with the dQ config change into the next version.\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":928,"cache_read_input_tokens":196583,"cache_creation":{"ephemeral_5m_input_tokens":928,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"4f46e0d0-ed1e-4861-bf88-58a8187171b7","timestamp":"2026-10-18T11:39:34.437Z","request_id":"req_011Cg9dwqDEwAPikPHopzrQT","thinking_duration_ms":25564,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9e4bKWPKg7M3BMwoTDb","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Wait, only about 28 minutes have elapsed since the session started, not as much as I thought — so I actually have roughly 92 minutes left. That's more time than expected, so I can push for deeper optimization rather than rushing.\n\ndKdV dominates at ~80% of runtime, around 1813us for shape 0 (607 TFLOPS). Looking at shape 3's prep work, the o/do load and K/V transpose together are only 6% of total time, running at 5.6-6.5 TB/s bandwidth. I'm weighing whether to drop the transpose by switching to the exp_kq variant, which costs some dKdV speed but saves transpose time — a wash on shape 0 but potentially a net win on shape 3 if the dKdV penalty is small enough. I'm also considering fusing the delta computation into the transpose kernel launch to overlap work and shave off the launch overhead, maybe saving ~10us. The bigger lever is still dKdV efficiency itself — ablation data shows that removing the dV/dK MMAs drops time from 1842 to 1123us, so the S/dP MMAs at M=64 are the real cost center I need to dig into further.\n\nNow I'm trying GQA packing with G=2 to get M=128 tiles by stacking two heads' Q rows together, which would hit full MMA rate, but working through the TMEM and shared memory budget shows the Q/dO buffers blow past capacity when double-buffered at that size — SMEM just can't fit 256K. I'm testing smaller buffer configurations and reduced K/V footprint to see if there's a combination that fits within the 512-column TMEM and SMEM limits.\n\nI consider whether loading K into registers would let Triton promote it into TMEM as the A operand instead of SMEM, which could free up SMEM headroom, but tallying the TMEM columns for S^T, dP^T, dV^T, and dK^T with double buffering shows it still exceeds the budget — this path doesn't work either.\n\nEven trying to reclaim space by dropping double-buffering on S/dP doesn't clearly help, since the TMEM layout rules for a 64-row A-operand aren't something Triton exposes control over, so this approach is a dead end too.\n\nLet me instead check whether the dKdV kernel's 2.06us per iteration is actually bound by the MMA pipe itself — working through the MAC counts for S, dP, dV^T, and dK^T at their respective M values to see what clock cycles that implies at full versus half rate.\n\nComparing to an ablation run without the dV/dK MMAs shows the time increase is roughly 3x what the MMA math alone predicts, which points to the dV^T/dK^T instructions themselves running slow — likely due to how the transposed A operand is read from SMEM relative to the B operand coming from registers into SMEM.\n\nI'm recalculating the SMEM bandwidth per instruction, but the resulting cycle estimate still falls well short of the observed 1.5K clock overhead, so raw bandwidth alone doesn't explain it. I suspect the real bottleneck is the in-order dependency chain within the MMA pipeline, where dV_i and dK_i must wait on the softmax-derived P_i and dS_i before they can issue, even as the next S and dP computations are queued right behind them.\n\nConfirming Triton's WS follows source order, so each iteration serializes MMA(S,dP), softmax latency, then MMA(dV,dK) — that's the bottleneck. The fix is to software-pipeline the loop so S_{i+1} and dP_{i+1} get issued before dV_i and dK_i, restructuring with a prologue that computes S_0/dP_0 first, then overlapping softmax of iteration i with loading and computing the next iteration's S/dP before finishing dV_i/dK_i.\n\nBut I'm realizing this requires carrying q_i and do_i as loop-carried SMEM tiles across iterations, which is complex if TMA is loading them — it might not work cleanly in Triton's WS model, since the MMA partition issues S_{i+1}/dP_{i+1} at the start of iteration i+1 in program order anyway. I'm wondering if Triton's warp specialization already handles this overlap more cleverly than I'm assuming.\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":374,"cache_read_input_tokens":203265,"cache_creation":{"ephemeral_5m_input_tokens":374,"ephemeral_1h_input_tokens":0},"output_tokens":8,"service_tier":"standard","inference_geo":"global",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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Aj4iwDYaTn1J5ZtoX9qhPK","type":"tool_result","content":"239:    scf.for %g = %c0_i32 to %c2_i32 step %c1_i32  : i32 {\n274:    %kt_58 = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n278:    ttng.async_tma_copy_global_to_local %kt_desc_43[%kt, %kt_57] %kt_58, %kt_59, %true : !tt.tensordesc<tensor<256x64xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, muta\n279:    ttng.wait_barrier %kt_59, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n281:    %vt = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n285:    ttng.async_tma_copy_global_to_local %vt_desc_44[%kt, %kt_57] %vt, %vt_60, %true : !tt.tensordesc<tensor<256x64xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable\n286:    ttng.wait_barrier %vt_60, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n313:    ttng.wait_barrier %st_70, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n324:    ttng.wait_barrier %dp_75, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n331:    ttng.wait_barrier %dvT_80, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n338:    ttng.wait_barrier %dkT_83, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n339:    %dkT_86 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n342:    %dvT_88 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n345:    %q = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> \n356:    %do = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> \n367:    %pb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n374:    %dsb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n381:    %st_110 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n382:    %dp_111 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n383:    ttg.warp_specialize(%q_93, %q, %st_110, %kt_58, %st_72, %do_99, %do, %dp_111, %vt, %dp_77, %pb_104, %pb, %dvT_88, %pb_102, %do_96, %dsb_108, %dsb, %dkT_86, %dsb_106, %q_90,\n446:      ttng.wait_barrier %st_73, %c0_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n448:      %st_181 = ttng.tmem_load %st_180 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n449:      ttng.arrive_barrier %st_70, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n458:      ttng.wait_barrier %dp_78, %c0_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n460:      %dp_190 = ttng.tmem_load %dp_189 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n461:      ttng.arrive_barrier %dp_75, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n467:      ttng.wait_barrier %pb_103, %c1_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n471:      ttng.arrive_barrier %pb_105, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n473:      ttng.wait_barrier %dsb_107, %c1_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n477:      ttng.arrive_barrier %dsb_109, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n524:      ttng.wait_barrier %st_244, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n527:      %st_247 = ttng.tmem_load %st_245 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n528:      ttng.arrive_barrier %st_246, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n538:      ttng.wait_barrier %dp_256, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n541:      %dp_259 = ttng.tmem_load %dp_257 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n542:      ttng.arrive_barrier %dp_258, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n549:      ttng.wait_barrier %pb_103, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n552:      ttng.arrive_barrier %pb_105, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n554:      ttng.wait_barrier %dsb_107, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n557:      ttng.arrive_barrier %dsb_109, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n585:      %23 = ttg.local_alloc : () -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n586:      %dvT_294:22 = scf.for %dvT_305 = %c0_i32 to %6 step %c1_i32 iter_args(%dvT_306 = %dvT_240, %dvT_307 = %dvT_243, %dvT_308 = %c0_i32, %dvT_309 = %dvT_265, %i0_310 = %i0, %i\n604:        ttng.async_tma_copy_local_to_global %ds_desc_45[%27, %c0_i32] %23 : !tt.tensordesc<tensor<64x64xbf16, #shared>>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n622:        ttng.wait_barrier %st_352, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n625:        %st_355 = ttng.tmem_load %st_353 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n626:        ttng.arrive_barrier %st_354, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n636:        ttng.wait_barrier %dp_364, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n639:        %dp_367 = ttng.tmem_load %dp_365 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n640:        ttng.arrive_barrier %dp_366, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n651:        ttng.wait_barrier %pb_377, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n656:        ttng.arrive_barrier %pb_379, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n659:        ttng.wait_barrier %dsb_381, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n664:        ttng.arrive_barrier %dsb_383, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n698:      } {tt.num_stages = 2 : i32, tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n704:      %dvT_296 = arith.addi %dvT_294#0, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n705:      %dvT_297 = arith.cmpi eq, %dvT_296, %c2_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n706:      %dvT_298 = arith.select %dvT_297, %c0_i32, %dvT_296 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n707:      %dvT_299 = arith.xori %dvT_294#1, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n708:      %dvT_300 = arith.select %dvT_297, %dvT_299, %dvT_294#1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n709:      %dp_301 = ttg.memdesc_index %dp_77[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.\n710:      ttng.wait_barrier %dp_301, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n711:      %dp_302 = ttg.memdesc_index %dp[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.mem\n712:      ttng.arrive_barrier %dp_302, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n713:      %st_303 = ttg.memdesc_index %st_72[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.\n714:      ttng.wait_barrier %st_303, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n715:      %st_304 = ttg.memdesc_index %st_69[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.\n716:      ttng.arrive_barrier %st_304, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n719:    partition0(%q_124: !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n728:      ttng.wait_barrier %q_160, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n732:      ttng.tc_gen5_mma %q_161, %kt_127, %st_162, %false, %dvT_158, %st_163[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, \n734:      ttng.wait_barrier %do_164, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n738:      ttng.tc_gen5_mma %do_165, %vt_132, %dp_166, %false, %dvT_158, %dp_167[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16,\n741:      ttng.wait_barrier %st_169, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n743:      ttng.wait_barrier %dp_170, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n745:      ttng.wait_barrier %q_171, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n749:      ttng.tc_gen5_mma %q_172, %kt_127, %st_173, %false, %dvT_159, %st_174[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, \n751:      ttng.wait_barrier %do_175, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n755:      ttng.tc_gen5_mma %do_176, %vt_132, %dp_177, %false, %dvT_159, %dp_178[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16,\n763:      ttng.wait_barrier %st_185, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n765:      ttng.wait_barrier %dp_186, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"fc8ba517-28e6-4b1c-951e-67950a1d67ab","timestamp":"2026-10-18T11:41:17.635Z","tool_use_result":{"stdout":"239:    scf.for %g = %c0_i32 to %c2_i32 step %c1_i32  : i32 {\n274:    %kt_58 = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n278:    ttng.async_tma_copy_global_to_local %kt_desc_43[%kt, %kt_57] %kt_58, %kt_59, %true : !tt.tensordesc<tensor<256x64xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, muta\n279:    ttng.wait_barrier %kt_59, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n281:    %vt = ttg.local_alloc : () -> !ttg.memdesc<256x64xbf16, #shared, #smem, mutable> \n285:    ttng.async_tma_copy_global_to_local %vt_desc_44[%kt, %kt_57] %vt, %vt_60, %true : !tt.tensordesc<tensor<256x64xbf16, #shared>>, !ttg.memdesc<1xi64, #shared1, #smem, mutable\n286:    ttng.wait_barrier %vt_60, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n313:    ttng.wait_barrier %st_70, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n324:    ttng.wait_barrier %dp_75, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n331:    ttng.wait_barrier %dvT_80, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n338:    ttng.wait_barrier %dkT_83, %c1_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n339:    %dkT_86 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n342:    %dvT_88 = ttng.tmem_alloc : () -> !ttg.memdesc<1x256x64xf32, #tmem, #ttng.tensor_memory, mutable> \n345:    %q = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> \n356:    %do = ttg.local_alloc : () -> !ttg.memdesc<2x64x256xbf16, #shared, #smem, mutable> \n367:    %pb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n374:    %dsb = ttg.local_alloc : () -> !ttg.memdesc<1x64x64xbf16, #shared, #smem, mutable> \n381:    %st_110 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n382:    %dp_111 = ttng.tmem_alloc : () -> !ttg.memdesc<2x64x64xf32, #tmem1, #ttng.tensor_memory, mutable> \n383:    ttg.warp_specialize(%q_93, %q, %st_110, %kt_58, %st_72, %do_99, %do, %dp_111, %vt, %dp_77, %pb_104, %pb, %dvT_88, %pb_102, %do_96, %dsb_108, %dsb, %dkT_86, %dsb_106, %q_90,\n446:      ttng.wait_barrier %st_73, %c0_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n448:      %st_181 = ttng.tmem_load %st_180 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n449:      ttng.arrive_barrier %st_70, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n458:      ttng.wait_barrier %dp_78, %c0_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n460:      %dp_190 = ttng.tmem_load %dp_189 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n461:      ttng.arrive_barrier %dp_75, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n467:      ttng.wait_barrier %pb_103, %c1_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n471:      ttng.arrive_barrier %pb_105, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n473:      ttng.wait_barrier %dsb_107, %c1_i32, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n477:      ttng.arrive_barrier %dsb_109, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n524:      ttng.wait_barrier %st_244, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n527:      %st_247 = ttng.tmem_load %st_245 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n528:      ttng.arrive_barrier %st_246, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n538:      ttng.wait_barrier %dp_256, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n541:      %dp_259 = ttng.tmem_load %dp_257 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n542:      ttng.arrive_barrier %dp_258, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n549:      ttng.wait_barrier %pb_103, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n552:      ttng.arrive_barrier %pb_105, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n554:      ttng.wait_barrier %dsb_107, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n557:      ttng.arrive_barrier %dsb_109, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n585:      %23 = ttg.local_alloc : () -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n586:      %dvT_294:22 = scf.for %dvT_305 = %c0_i32 to %6 step %c1_i32 iter_args(%dvT_306 = %dvT_240, %dvT_307 = %dvT_243, %dvT_308 = %c0_i32, %dvT_309 = %dvT_265, %i0_310 = %i0, %i\n604:        ttng.async_tma_copy_local_to_global %ds_desc_45[%27, %c0_i32] %23 : !tt.tensordesc<tensor<64x64xbf16, #shared>>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n622:        ttng.wait_barrier %st_352, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n625:        %st_355 = ttng.tmem_load %st_353 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n626:        ttng.arrive_barrier %st_354, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n636:        ttng.wait_barrier %dp_364, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n639:        %dp_367 = ttng.tmem_load %dp_365 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n640:        ttng.arrive_barrier %dp_366, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n651:        ttng.wait_barrier %pb_377, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n656:        ttng.arrive_barrier %pb_379, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n659:        ttng.wait_barrier %dsb_381, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n664:        ttng.arrive_barrier %dsb_383, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n698:      } {tt.num_stages = 2 : i32, tt.warp_specialize, ttg.warp_specialize.tag = 0 : i32} \n704:      %dvT_296 = arith.addi %dvT_294#0, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n705:      %dvT_297 = arith.cmpi eq, %dvT_296, %c2_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n706:      %dvT_298 = arith.select %dvT_297, %c0_i32, %dvT_296 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n707:      %dvT_299 = arith.xori %dvT_294#1, %c1_i32 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n708:      %dvT_300 = arith.select %dvT_297, %dvT_299, %dvT_294#1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : i32 \n709:      %dp_301 = ttg.memdesc_index %dp_77[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.\n710:      ttng.wait_barrier %dp_301, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n711:      %dp_302 = ttg.memdesc_index %dp[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.mem\n712:      ttng.arrive_barrier %dp_302, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n713:      %st_303 = ttg.memdesc_index %st_72[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.\n714:      ttng.wait_barrier %st_303, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n715:      %st_304 = ttg.memdesc_index %st_69[%dvT_298] {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> -> !ttg.\n716:      ttng.arrive_barrier %st_304, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n719:    partition0(%q_124: !ttg.memdesc<2x1xi64, #shared1, #smem, mutable> \n728:      ttng.wait_barrier %q_160, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n732:      ttng.tc_gen5_mma %q_161, %kt_127, %st_162, %false, %dvT_158, %st_163[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, \n734:      ttng.wait_barrier %do_164, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n738:      ttng.tc_gen5_mma %do_165, %vt_132, %dp_166, %false, %dvT_158, %dp_167[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16,\n741:      ttng.wait_barrier %st_169, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n743:      ttng.wait_barrier %dp_170, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n745:      ttng.wait_barrier %q_171, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n749:      ttng.tc_gen5_mma %q_172, %kt_127, %st_173, %false, %dvT_159, %st_174[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, \n751:      ttng.wait_barrier %do_175, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n755:      ttng.tc_gen5_mma %do_176, %vt_132, %dp_177, %false, %dvT_159, %dp_178[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16,\n763:      ttng.wait_barrier %st_185, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n765:      ttng.wait_barrier %dp_186, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Aj4iwDYaTn1J5ZtoX9qhPK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":14,"estimated_tokens_delta":8,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"408fc1cc-87ad-4831-be54-28627ff2d238"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":15,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"56dde59e-710c-4494-ac37-d96e0d46e979"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":16,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"3aef95de-0345-420c-8885-68a3de627024"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":20,"estimated_tokens_delta":4,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"40f651ba-9c54-42e2-8abc-7e379cdfcf7a"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":22,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"9d889d12-ebb8-4c8e-800b-c0d18fb0e3d1"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":25,"estimated_tokens_delta":3,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d4dac562-cf7d-4d0e-8370-d68213e19cc6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":26,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ebf47c9f-abd6-4eb6-b614-c909af0a91e5"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":33,"estimated_tokens_delta":7,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"2939938b-84bc-4877-9d8c-d5ff9c41f181"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":40,"estimated_tokens_delta":7,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"874cdbcd-e616-46e0-b71a-45761de65f5f"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":43,"estimated_tokens_delta":3,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e338c036-8f97-45bf-8e1e-7af2348b6280"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":44,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"17c10fa4-f2ea-4205-9641-7800104adbbf"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":45,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ada0c2a4-9740-4ef0-bcea-0c55be4427fe"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":51,"estimated_tokens_delta":6,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"15b567ae-d85b-4151-ab1a-efc843b4f8da"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":55,"estimated_tokens_delta":4,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b1accc7b-ad7f-4a5e-b5af-e31ffa6c9e81"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":57,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"aea4a536-2f31-44bd-bf1d-94dcf963c3d2"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":63,"estimated_tokens_delta":6,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ee2b8c87-1acf-49e9-8cc7-06c47d05bacb"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":66,"estimated_tokens_delta":3,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"ab28f540-b54d-4e6c-8091-d4410b0a4ee4"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":72,"estimated_tokens_delta":6,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d35e9a44-6712-458e-b92a-cfdc41d6b517"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":77,"estimated_tokens_delta":5,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a768f19e-9636-4118-bed0-a51e54812586"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9e7RmNmA6GdUag2bMAA","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I see the MMA partition is already software-pipelined — it issues S_0/dP_0 then S_1/dP_1 ahead of the loop, running two iterations ahead before dV_i/dK_i, taking advantage of double-buffered TMEM. So pipelining isn't the issue; I need to figure out why it's still taking roughly 3.9K cycles per iteration.\n\nMaybe the bottleneck is actually the softmax default partition instead, since it runs a sequential chain of waits (S, dP, compute, store P and dS to SMEM, TMA store) that could be latency-bound rather than compute-bound — which would explain why adding more warps didn't help. I'm thinking about testing this by swapping out the exp2 computation for something cheaper to isolate whether ALU work on the softmax side is the limiter, and also want to trace the exact MMA issue order per steady-state iteration to rule out hidden stalls there.\n\nTracing the buffer dependency chain more carefully: with only two Q buffers, loading Q_{i+2} can't start until Q_i's buffer is freed after dK_i finishes, and then S_{i+2} in the MMA partition has to wait for that load to land — so the double-buffering depth may be creating a stall the tensor core can't hide.\n\nWith the serialized reload chain, the tensor work per iteration plus the idle latency sums to roughly 3-3.5K clocks, which lines up with the measured 3.9K. Three buffers would hide this by prefetching a stage earlier, but SMEM budget doesn't allow three stages of Q/dO alongside K^T/V^T, so I need another way to hide the latency with just two buffers.\n\nI'm weighing options: releasing Q_i/dO_i earlier so the next load can start sooner, splitting Q and dO into separate pipelines with independent release points, or reordering the dV/dK MMAs so dO frees up before Q does. I'm now tracing exactly which buffer each MMA (S_i, dP_i, dV_i, dK_i) depends on to figure out which release can be moved earliest.\n\nThis reveals a bubble: S_{i+2} needs Q_{i+2}, which can't load until dK_i finishes, creating a stall on the tensor core between dK_i and S_{i+2} unless the schedule is rearranged — maybe delaying S_{i+2} until dV_{i+1} is ready, but that depends on P_{i+1} from softmax after dP_{i+1}, so I'm checking whether reordering actually closes the gap or just shifts it.\n\nSo the cycle constraint gives bubble = L/2 per iteration, meaning if measured iteration time is 3.9K clocks and tensor work is roughly 1.5-2K, the TMA latency L must be around 4K clocks, which seems surprisingly long and suggests heavy memory contention under load. I'm trying to figure out how to cut this bubble, but adding more buffers isn't feasible given shared memory limits, so I need another angle.\n\nLoading Q separately for the S computation and dK computation with shorter-lived buffers would help, but doing the math shows it blows past the SMEM budget. Shrinking the Q/dO tile size further seems bounded by minimum tile constraints, so I'm now considering splitting the head dimension D into lower and upper halves for Q and dO instead.\n\nSplitting into halves doesn't actually shrink the total bytes needed since both halves are still required for S and dK computations with the same lifetimes, so that path is also a dead end. I'm now wondering whether K^T/V^T's SMEM footprint can be reduced, but since they're needed every iteration for both S and dP, that seems hard too — so I'm shifting to consider restructuring how tiles are processed across iterations.\n\nTrying a 3-stage pipeline for Q/dO runs into the SMEM budget: with 3 stages that's already 192K out of ~232K total, leaving only ~35K for K^T/V^T which needs 64K — so this approach is infeasible unless K/V moves out of SMEM entirely, which isn't workable. I'm also considering whether loading Q/dO from L2 instead of HBM could reduce latency, but the earlier descending-order experiment didn't show gains there, so I'm exploring whether the dK MMA could reuse an already-loaded copy of Q.\n\nSwapping which operand streams from TMEM runs into capacity limits too — TMEM fills up if dO is used as the A operand. Reordering so Q is only touched early doesn't work either, since dK_i specifically depends on dS_i, which requires softmax(S_i, dP_i) computed from that same Q_i. So I'm now looking at computing dK through a separate GEMM using stored dS values, similar to how the dQ kernel handles it.\n\nThis points toward splitting the backward pass into three separate GEMM kernels: dQ from dS and K, dK from dS^T and Q, and dV from P^T and dO. That way the main kernel only needs to compute S, dP, and the softmax to produce stored P and dS, keeping Q and dO's buffer lifetimes short since they're only touched early in that kernel.\n\nI'm weighing a q-major layout where Q and dO stay resident while K and V stream through in small blocks, trying to find a buffer size split (BN=32 giving 16K per stage) that keeps total shared memory under budget across two pipeline stages.\n\nChecking the FLOP and memory math: five total GEMMs (S, dP, dQ, dK, dV), with P and dS written out at ~2.15 GB combined and then read back ~3.2 GB for the backward GEMMs, totaling roughly 5.4 GB of HBM traffic — around 770 microseconds at full bandwidth, which suggests the GEMM stages will likely be HBM-bound rather than compute-bound.\n\nSumming it up: main kernel ~600-700us, dQ ~260, dK ~280, dV ~280, plus prep ~50 — landing around 1500-1600us total for shape 0, a solid improvement over the current 2146us, assuming the GEMMs can hit near-peak throughput.\n\nNow I'm working through the dK GEMM layout more carefully: dK for a kv block needs contributions summed across q-blocks, so I need to check how the stored dS tiles (shaped per q-block × kv-block) transpose into the right M=128 kv-row tile. Since each stored dS tile only gives 64 kv rows after transposing, I'm combining two adjacent kv blocks to assemble a full 128-row tile for the matmul.\n\nI'm confirming the global memory layout can store quarter-tiles as long as the GEMM kernels read proper 128x128 TMA boxes, and checking that the dS^T and P^T operands for the dK and dV GEMMs both come out MN-major and thus supported directly from the stored tiles.\n\nWorking through the accumulator and SMEM sizing, I find the dK/dV GEMM staging mirrors the dQ GEMM structure closely — same 48K per-stage footprint with 4 stages — just with different operand pairings (dS^T with Q, P^T with dO), so the existing tiling scheme should carry over cleanly.\n\nNow I'm thinking about the global dS layout needed to support both tile shapes: storing a dense per-head, per-sequence L×L matrix. For long-sequence shapes this costs roughly 2.1 GB, which is wasteful for causal or windowed attention since much of that matrix goes unused, but it's acceptable as an allocation since unused regions never generate memory traffic. Packed document layouts stay small since they only sum over each sequence's actual length squared.\n\nI realize a banded layout would be more compact but doesn't work with TMA's rectangular box requirement since it shears the tile, so I need to fall back to dense per-sequence matrices with padded lengths and a prefix-sum offset table, though variable row lengths across sequences mean I can't use a single fixed-stride 2D descriptor.\n\nI'm working through memory estimates using a fixed row stride equal to the max padded sequence length — this wastes columns for short sequences but keeps traffic manageable, and checking that totals stay under the 275 GB budget across different packing shapes, including the largest 8.6 GB case, then doubling for P alongside dS.\n\nGiven this, I'm weighing a major restructure: splitting into a main kernel handling S/dP/softmax while storing P/dS, plus three separate GEMM kernels for dQ, dK, and dV. With roughly 85 minutes left, it's risky but doable, and I'm estimating throughput gains from shorter buffer lifetimes in the main kernel — working through the pipelining math with load and MMA cycle counts across double-buffered iterations.\n\nRunning the numbers, this comes out to about 2.2M clocks total or 1.17ms, which is worse than hoped — the TMA latency seems to be the real bottleneck, and I'm second-guessing whether my latency estimate of ~2.1us is realistic compared to typical HBM latency.\n\nChecking the ablation case without dV/dK MMAs confirms L is around 3.8-4K clocks (~2us), which is high — implying memory congestion. Computing total Q/dO bandwidth gives roughly 4.8 TB/s, which if mostly HBM traffic would be around 70% of peak bandwidth.\n\nSince the descending order didn't improve things, I'm suspecting L2 hit rate is actually poor due to the access pattern: with ascending kv-block order, programs across all heads stay roughly in lockstep reading similar q-block ranges, so the \"live\" working set across the GPU spans many heads simultaneously rather than being localized.\n\nI can't resolve this without actual profiling, but I can run a quick test: force all programs to read the same fixed small range of q-tiles so everything should hit L2, and see if timing drops sharply. If it does, that confirms a memory-bound bottleneck; if not, it points to a latency/pipeline issue instead.\n\n","signature":"CAQS14QBChAIEhgCOAFCCHRoaW5raW5nEgzBNyh4bJVax8bF9u4aDJPj+9gJXZMtyGB12CIw5DT/+AwEexOyeL/NMG1EvuEN480CYdilbP5uUXLiPsMlv1uZnxwN7xCOTR39FN1EKvODAeBb0Eraaesag5erXDwchyQoCYGuy7eGWJzkvRYpPRcfj4yoHIDLrZKRsKmkVOHr/1WdnQwoM6QIZ57rxxkmbgmZJLtYTvlPQOD93708yGRij39ZXlP1khV3OfZwgs0mqyorBHAINQmbYH25g9Mcr+51XIgAxmUtux+ndEhwDQ+0J3WQG1fgOC6NWohHT+3+sZ/TfkW8opZm5eATQNExYxIE72vxzKysEHaMhhkZrjhRdkXVm1w7qgmzGn/Se50O3I/39fiBC0m9wjchV9ZVA1PYmdBOuV+N2SZ5IRzD+HJOn4XMiV5/lY1LybbjBNaVuENOgzElr2gOuwHLcvgLVTzR37snL9oVV29oeQVyGe9vt/yYkF6ypcSq0VtVSueo1cqDnwKvl0LxbUE61mIyIffcuhQDV4CF4hmxz4gTrsltQ5vwBi4PGdqFVUlhNhMJfWrc+uFOPaddZLonCA/VDV8FWd8ONv29kL+u1H4z3SwD3XaZ4AEq/zNy5BzBxun0Sqggaq6gOHlakkd9Jdi3wwq2tyGFUBHVTdhA7Vo6qPeRVPKP6keKqdz9d0+asWA6j/ViuTMXWOOt3+FfVLAg2HeuKclIP31mElMA81yAPo6V3GRGPGgykB3ffNfkNaeMRKrjoH7cUnu85T2c8iaW6qDGefqN1bBWJ1VaU6FxhkErP2Er51ifSsl4Y2bbI21zqFC4LDwDef+WC4ex7Ttr+L8n9oCgCT2aBt1sO3NqJYmdv5ZxOcX4MmW1K8cgVfaKR+Ax0F8Bb93wC9+K7CIZ2v2wY9aQMFl+Fva20Gp07Mq0LYeefkhmQEUowuQJhhjr11awVVqBcrIBL+Spi4P6pwZRbzu7Whfz5Qb20tYmdpfLXIm3aXaVrZ7Vva0IAIfLAiIVBlWIAiKPvVMC5NtAcCFIwWHPr9cCh66Iz6Nw73ZLOj/Kyj8A5xCti1bcLRC7cidQ32WVdlWICr0BUCeCrEjojsVti4xv0BGwxdbpHKiHDuvYm4QIH+PR5VGVMvVTKsHVVDU0fRFk0Ar+fjC5lFjnpKVQTMLx7pc8i41ystIF3sHEiCxGmdlWT7mjQ+tx0lWPjV7d0DdZlVKRybn+OzVQYulKjMsawA1Ty8ZBQnk68YDZZ0NAwZxz/iq/ugllvVL/z4bMw4A1sSPSBV5zxlZGAc/lkljlEpiYS0T9Gd4OlcWvx6Fe6yHUwpaTH15Qfnj1IECi4XxhkUuynvFW4Wk1wI1pnjk+xjEgh4/vIfDgVJDHNIXIshduFvkknQcR18FGC/YhJ3hfFnH9+LSLVrf4N0x1bnFPm3cEzrUmGeb3BVHOnlxcmJ5G8Fvu8rFJbRKYM+wM6gcELfni83Sktx7UbPqKycDnbdYoF1rqWe8u/MZn27HbY0bR1OELGeU61F6RLaCcTdl8nnWCbpuEBFVRwMCjCRRDUvHZPlb91mXxdF7qqaa43Ino5e/0MA+H61mQIIaNtRA0koLhGj1/QYWi3Jezn4o3z2MyFN/d4iAEBpPFyk7VTKzf7gaM9RBXUABWQi7jRoX0kyQj1uzeqhZrS9BWMW1OdO7hTSdgf0ZymjuljQd9wJzFNZdvvNN1AfjvabGQcARtK5PNzS2+q0zQ3qCVR3G71atNB3v5Q1hUvznqaA1/EVnuG6dl/tSs9cze6yZIIXYZ88E5BAAzaF4EWO1FTSlc1tucIzSimiZDwQJlN9Gcp6VLL/ABG6ZAHhHtwFfxkpEqd3a5iozhpFwLHvwIPyg6PUzIZ2t4/HYZhMTjqplO5vvaUTjtbodzjtTrSJUPM/5lsW/OC64JRZA6R0lZ0d8t7g73zGANdjYmQS+n/1H/zuv/d7PRcoefEtzDsfe+1Qp8cDx9xLRcHGq+vZBtXLn7Gme88rCy9XYV88wY8VVp9Eo6EPRNsYKfAKlvE+LgqnS9H1KFKu7Xb/l2WZyOnb/TAULMAKh6c7SGhP6niCNG0v382vEE2qK72hPb4EGBGLPrUuCkTJ9SkRowauu451cRiQBCI3pnqfQuIxhPphH7xjmgmmFrrIl5p+BSktaSht9WalmVQBqDO3FHGIg+rT8kkp398/BG3GB9HykWLPb94s6O2aRxwk5T1Nlp9Rcwpiy8Q6jij88U4MY6l7PZLqRjsWMjuGSWd9qiflQBh2qy+J8XD8nuS7d4i/TPX13jyGPhdHuVV+WZLZ0cvFfGxNaKV5OAO4qJ5vLeStuxP2LB/J/L8wbtQj0vn6A5dGgjQr0uL8Q9Q4c6hO4evwLOlgHDJuO8ZsyGqFzhDD21XMMhAMPobCcP7/F3ADdnzTA/CgDzz43ZD+mjHIBPelEEELXd8bfVnRmALerbFzxaA8g2jeMc1jTNmpi51d9vXXiWxMY/XiVlhpVFb5eLH4fXiSaXXLjNcuSuSvvl84/TQiSPmdS9+xHUWypl++PKJ4XnQiA5Vhp33ZcoTcTkTdFQR20vcalV7wFvMAaXYd/BSm/zHL0nFwz3GZZVq0DtYXb6mXGO4k1i+ObU5kfK6X8JFGnIo30+ftx8pCwD06RpjplzuCXQWefeLmbmmGASMG7R8UZoQ+ODuD7f3NwUz1EfN0x6RqH4fI906xQwhB1e15u+slOd0iRP+ZuQZXvZ6iDveC0hJRcWUBMruHuyhdrZJFokHrFf2qXOBJfWyd7w3Mq2Ew9I+PtWkrLFEc23M4ojMvTf380zD8gtzuUP8i8Dq7awIDDrRX8Nx/K7+SwVPhsj84u9AdltmkaoxvmhxePYdNUV3uLTNuEZonbtMHFOhfLYgY92f4hM2Zo+L0yRGY5RbCc8UuxdjxEbN0du/8j10PeCXUOuKQl/W7UzlEGzbdvxm8Q4HOJIGn5rWQe5Cvc4xYt9T9iGH358U9L9YqHBE5iPctG7Fw0tKjw+cJVtSEqAKDuOl3IeWvrfDscHeDitfAU9HRUW2HmFCdMeLCqWrUdohYu5NrQir9GZixsIf0mNkm/pGacOfKTOzhU4C19rxw4xoPGRnkvIC1uPqRW+FR+b7atm3gheyob6EXz1mObyTDKxRWjOtBjdf93vrOsudUQ3sbyVpYw95k1jIhY/o7MELv8I3cKqgXMBDzxeGbX3CsxoJmTyGfJr1V7dPeWmjyKG0JQng/q9HJUFKKHesi3xYe/yOlNb8PZ08cEaJ3UnZreAWLYsR1CHsh+FOU4XRivcxfp7fqGWT5Re6PKhqdteFryjrVPfDIwwuWmQQkS/Nrn5Y7lUmaNADLYkiqGf0VC9sLfHNTIcbjeLvjD8ngtot6qlCbUKlIaY0maWXvdlTUswru1s6Lsk55/0zU4moIsJ9FEcV9tVTw6CPxNGz3e89Xo06Os/zt2BXOlDkRNN6ecVhWBfsDPHhnpnbFLuxESJqqaItqEhhOKTOFwseZVBUEMzASyDxotS622OGLG5MFbkBIatIbNNnz9sJ6hm91mfsgDH98mEFuLE5vRVe7GZHyBzkm0K7kYbSZYxb/etYtHTrH7lUt4bwg/wzpGmD/F2/QNzWsN4HnsMiUQXJlgiUJgozhjTWRQlntqz3vmAz+hMCT/OfbBArfZB9NwzGpfQDfmFDwVoU9chgnonoYSWJhhutyNw0w8CUELPNWgvy/+saBq/F0wECfKcmxm0jacwwDIU5l9iLnfo8XZ1U5a3kwEv4d+pUx3zYv8wXE78Ea3aAxbQoaYPBey6jAKrXGKH9O5kaIFFNZGROxeUX1HpY78eWtolm5SXp5iSY++MH4eKdX54nvu7VBXIRxH/wZLskb83YP/3ZROioYZUjBBIPQnlllDb9CnrkXi811g9hwrcBuLEJS8vY6VNkyE5UF72WTe4pE3CP5k4Z3PwtxQ9o05P7J9xjhjeWelQsxx5h2vlX4X3cxfAeLRXKf/3vUQEthe/R033mAC/pxrBtidoMLs0aLw6iOFnWUI47S2TRut+0xmoFqJWBKYYW74FbkEZVi/BHxRUOWrKcTfzx5WUlrr6sybHf5ThqZmR4izBayBsEKf2WpxyxAmBhub5PreT+L8dCTUCsfenRcv/Q7F6NZgG0025Wg3uvjB18UB4X+1m/rsDpAZaxVwG9ukpp2LuLz4sGRG+Su5kawwUO3KiIfFons0ciT++/Yh0Pt/YKp8FJyAORFqmlE2BVjXCkQQDYO4rFZad2cICcMcaFf9LkpVUd9Ya9/bU/vsjul1IyWKfN3NvWOqvdzYZO0rj0zWOsABgIqERicabC4Wi3l9E25JqREJ76xJ67qC5KM+Qsm7j4UOqWZaFKdMNywbaZetfTtATU/PNZ7wDdkC73YmoYnC6nwDnX3XFjxJ3UADDUaJPHm+UGFH3/NyN+gy9WyzIs/nvNdDPlfKThUWMDumdO3LnNeLbjTPe++XIoZurjDdZ2o8/c7bxQcjVsYbeR5jR4I+ifyMqv3UF3PNf7E/ej2+D/S1Rdi2FWrVz8qd3RCa3wobvq5p31/j3S0+3cxcVFgBZAXGLm/VrDUrL/CK1YNGEaqv/qhyiQcvWOj0rpz7TLtsJTkAIdIYNFvkQTSGAdQeoEXXdHhyj5Hga5+LCxL1TOQRpFjAdzqo+Nh4T6/tpF1lfoHZjSxL+Hr3bbsvDbdZ+dxeP+3H+DTxdydw+obr3wvNlR+96iHoOTDWBl0f4qPxNHhP/bLYymMqbzt3LIcrxpOyRNQCxmJmzVNyxfazassiAeUO9j0qkpnw+gM/0I/HTm5ZQoW9J+K62u4Sdpz/Imxdi+8NlRujN8fkpYfT8TUdpbLjuzE4Kzhtf3MkuGiayCS7uxbJRlwN7AEQLYhsyEm1qO5z4bnOuf7C6TkP9B5EvVx+rYx0UyrvB1sfiNBLqN4SdH0Hx0Lih7LHbgVu+hY1SL6L/fNtqxDS+LjGy0KZVkAi/UgOtscmuXKdiGuPcLQ99jcfEH/NzJum4lHYoU8jPARE4oK8zRB6UaL34ltTngls7zojaWZovf657jrX3qcVqsTpiJqcdE7yFvMXBUNcXRTlcOLZSRMcIgPOFeZhsU0z0crEbEnW5TPNsUrNYfC+MZdCIRkBKHMdjNUpmIMOwz7waWtJYoTwIfta5ed7bptXnfyc3mbUpfiY0pmWLJ4ouTCwLG3TB+kP0IeRb2ZAbWq+9oH+keOQxBMis8/9UE33lLdyDxTN+cpRyN1b63qmMvPchxCH4iL+yB7hXP80klTP3mihgltwFIjTb1Mrbq5taIKqR3xJvOlFx5TDFW2svClF5+7PIHkvM8FysqNDvvPXJom3+uiwQ/IL54Pqk1mnGNnHSplaKYuGVU4/Rg0sOjJvXiV+7eQfTr/8wXwTTZ+Yarcuyzy1i7OB1alCG6SSD6/JBNG37NXnUcqlx+t2YIM/9becc/wUOgIjkrLiPuf4uYm1Nclmj9Kt2vo6IDDAjPw2id+/iCN9dBykSLrEmt/D9xIaoy/85WX++aDT4eaYSJxarl+ZTgEzvleCoYczlANqAveDjSnXocTcdNlxjfFKkuRUzMF+sKsqGmiwLJSjGSvT/E3MrmtW8cHLiZK/+GJ+8oGtF7SR6aFGBkMz8rSIRgYlbnHuu3p3D0J58Dlxj9r+TCW1xt7EeDD983rYpIen/xw8yH75GZPYmkiFD/wV4L0rsSIH6f7BaQFHLa5+pVwyheyZ8/hgM06wKal1U2R6sPp2d4LRVEFQsDqczDfSoJ55VFQFmPTYUX11dJGt4X+VHwNlAiVM7Vs5euoMdwzodxIOHRAnJSGwfNeuTXAYRwF9+V3VBVDHBGalqz58/tAIzS7t2Er74aRKwQdFtRLLR7WUovPtFpllJ4tI1G3KHsy345g7jCilsrEbHuNdRq5E4OLHchxMVzoAUhgQc+MmbFH5VWYf2tjgNTyWS0yZwQKfuOrU2f+EKZ83+moT6JoRJzZPWIA5QbSU0JbU8rPejdesGeVfP91W50528KdIUzGMRraUqAUJ9tRwbR0+ChEJFz2fhN7K8ALjITLBwO7vNHm00cP2/gVtJJczmiBGjREprP2J4d87o7eDlVMIlp2Q7NmKVAgCce7QKxGnOseAApigNntNhLV7CL2+uwm8RUBW7JAWHWmOcU7t+LtyMk5/6ImciTNzaLqFKwWA8fWJ6+ukIDJUatvaO2r9AxK9pNU2xJFlFhsWZtHH12io8LlRcMHegsVCk6FE/XNjuActdEsLCpZOYaXjJ5qj7VcaVeFt/Qss8E0LY2Kk/Mtp9+QpNzdovCu1S4Mc81A8FHMapuAwnwvw8RibPt8ksOsH1Ev+LiVc9sjn6Z4vjggr5GuNKA1+xle6rJr7/qWt+O0l8XJ5AP/YmfbY4os4YuLi4+7ZLSaCpGbzRXDeaC85WjKsIaa0kYLMkiGFAKpT3PXwBCKcxTv1G867ecJ0BvZp4UrchvHQUziIpi1oQB8I6lsaHy+8uKFIBcLDHSBPF63Egs50TdNo8cCtuk5eW5p2y2m47c6YUsaAdHYJQ0R63HXvtJv20dwe3T0QjBjzGwQgQZorkZuiSm2Rye4UaBV8xJL0ARSS/izsyxcuLYNMq/NJtgoMV7PUSQyW3EfFAjM8Y98YCrThzpdkwQlyysT0+WWH09950v/jWOwmhSl8zhhVScHrqIhv+WMmoSsoo257gSvbV+UxssxgjPHHOAsE53fUTPuboWxrHSh78EWjhensDZnVJ/9YYnV41Dz+XYxwUJqBMRQURsuELSM45gcuxq4J++WgL6/Rs7umzdamZfSHyyh2juBYyxSETET/t5hXXpNSR2ssmfhw3AiXBf0LnDl8Y4cfOGuEp/2tq3F18TJVyxhFHql6t9MXX5TAgWLauKb7Ri7nnYnlUmxK/eZI/nxAYcYcf5hWDTwPgP2R6YxNQOUKvQ7ChRh6y32HpWAuiyo0hIsYmeRuD8Kc/LO2IRkJREdlO5V4Vn13JszwBXt5LOeTP4ECbHn0o0YiI4AKAMsHj8HHOcZyUZa+A5Yu43HEE7I23ZyZ+711VtHW0ap4bXbv5STZtqGGtq/y/tIMYsTIsys0sJrpSXy4GnRkqZx0XsYl7eLiK4gdz6CEIdUgRVwmSfOUtqjYxcMV/OBkPif6SRVXwlaQvwN97joWf1W4KQ485+ZNS3G8JUnMBfJqSQSob0Z7lilNtj5LabjDFt5OoZYs3UFLVP4G1EDp3gD4whagvmQvqCbqzWZCqEH8fhOu1Uj/9DRRHdT/5w1BNBnEvKgoOLDV6HTuGxNjVEApJqE4bJvjghhN0nmEoqLI8OK3gYh4Ro6mklXcCV+5Hk6Vml7Lpjd1SvM4hKoSBeS93RaWTr7tzO7kXfCOaovzj4pCSDAvlJEegQwObcUC5Acye7eJKiVFIak3CerVyTRcNZPmLMh296PAOXx17vqtjB8PdUNOE+WnvWy1SZIOmkxFe38h6NoprrT2mx/z367VLA/dHrs/NNUQJmZ0aNBwTjTobQx3M/Z0tqm1RebM2IRcbj4C+0HHQGLSlNcLqzJqiHa8zG1LLcmgaIpAmi1ZvmuIp3ub61qaR2UuiIil+hRrp7HIo5q8Rtx7+S1gSRVujb+jTMsvynyQMfXmd9Ldm3p62O6O6MbdzkMJf4fOQqPkdu+pD8xsrsazQU8d4XsrZ9noRpPeu80F8ZufTd0yRnEwm5oHuDSfwUgT0jB25fCnVm/0/NXiiR4PUtNGmALqy+VOYDOtQjqnDygMKi0/CcEkxiLUWeHMFXlatqJxLnd78E5SBkMC3ShZFlAmCUYFLIWc4zZmmqFUNYMkDIoNGjxH1w059m5hyM8TwYApvj715Ov70eLbKl0F+tcAxFOte5+SWRhOFgWUY3sal1Zw3w3XsaQEADpDjwkXgxQy2cPnibNvBUrY1natKd1xAXhPGe87Vjxhez580tFaoYFxEFi9Mq26K+AxMQQjcjxjPSQ1sk8ckJleifjqgLxY5QwRJnv5LdLOb7J3Eu0S1XgLEqjKPHMPIatwfavfQyoQx61fYvMwCdIpT0/qdf1LbpC4MmVfrnLTfoN+/snISfHv39a+02wJnJSO7Z2NbjBzwpVIBa4+h7PVAyMMOqKdJ9ikHkzdYjjqsBn1wZWQ2rtyCRkqXZ7anZMwcu9DtIIk7TjvAKE4OwE+dgcQzMg3zLMeYWP4P8iheglfsqycxh+dxgqPcUmBxoV6jCSVq7Jkxugg32F1vHGKjUP4w40SzVZ00Pql1XbpX+YYa3tDH7QIAip5UlJN798LJSjymlJhz3Eyl1fzSu8rWjEM2Em0DzfXvFMcXJ9f1RNpWQsZFLT3i3qvuLite+4uPOls1m8dKuXT9VXQqSIfLg0s0vtfKpRDosZrRiWNk+5BtOiY9gs11CK+0KgKAQadFcuIHNPdeiTwWSuh9kWJ9GZZan0h1mV/ReeRRQveE+ROVweOQjq+cY8GWhMcQi9dbQMNo5dMRIwXe2o2ioPgC6UKfQjMWLIRGFLmikvNCptXmaFB22xzmLKog7qdYHRGmmRcfwQCYGfEI6Pt6Y3rR4okudFi59zKw2hKr+QAxTFvM2V8H+4NEtmZbpmvVgZx4/jSpXjVwiYf00kFojkyKXFYYHZYa9XU7OsB7PSd2sK0DyqpKYT+MntCNUqUvEZyj1wDMVGM7mdRUXloS3DLOTpMP1q/5frvs3v3QEXYtVeWKhuBZFMHPdagjcOQS4OJPJe8/WExP3991VYfRshLSN6MvdtLEA7p+GwhnP050UtDxCj7JUoNts9n9YzpiPSrKr5Ms1hoBDn7AlLJZeeaxtL7Wce7FGJ7AmOxN8UeC9evmBDpiaY/Wmk5n8Iv4VrphaVkYqOSChFJH+PCfGhKMB1dBU/wGV8QTDX05gY04ouIh+5vGjuV2aDuibiASbO6rlb+Ypjojmhav7ZfpH6uoe0eQyC6rawoUm2kgfwuznpiZJUbWjJOqj8Xk7q5Z/rs9dDfXZBpEno+C9ri9XBMEY4ZfEXW8/fzpT77lTtBPSICbaCGKJZ9Irc092P5rcst4yrYUxoodfoJksJJtIrnL0Fvp4Zv6pyzQOySKAQ52JI6Rq26rqhBFfHKpryQd6Tqb2hvqn5V2zkbsqolGQac06KmbVCF03xHJkj1jk8hl88Zx2u3RhYfTw+zFrwToQZTg6YnybvUUnW6ufQPiEDpQFwzWpguz+9CFqvHVOtjETiR9PSmaM58jZxtFu2r7FAkTkDH24zHyAK9rpGvbfo1qUi3BqoUv1VVSbInoLkgXb6duQAp9b6Lzz5S2pI/6kUyi2rzWWO55anxH2bFOUXhJeKAkuPPJbs+aZ2R7UgKfU5SZmkWEoUX0cbeNtmfd9Vvdc3BVNivVnwaqjMLjBRBRskYc2sPl5d3r9DD6Z5n/lz8vmW5S9pmuyjP10nnykOOtR0+ujMq+EUli+c3B2K09hm14iBnwnqR3ks8pa0t9V7FUSBrFXFSMc1v4EjxSmLJzGsbsOHskckjSO2TFVSNxgYQHZtnpSeojGXi411NwSch1aWXJ9gKvFBh0+TOcM6FT7SgjA0yXbQLoonsh6lM5XRhxUIs8XMv3c1/JlwcBaV13zev5KvZV9pYoORGUfqH51Bx5dO8NCZerC9l4PGHKtjNOeY22/nn/weW1/cMs3LsmcZPeFmn6Y0557G4OnHd3QU9oZKZiFSuIm/MaNnElX4F62u/0PGiCO+gYARkw7RMqGFMtITNJalJNI8QFm5SbfhLQAZ8UBdeqkVMnvT5TJ6fmR2nZ02pP/jzqZPeyVB6rrrOoETTC1T9Swm6YKrtDAMXjyBaau5q8yX9B2H4BUB2S4kwHmAtgG4eDWA96jIC77MNm0Q/Wqax7Xe/TFBoXxqu68HYQ4IAUK/nrhKtGExoiQQkJ+JhDtstsxrT23X3wYpXDCOqjA3w2phtMhsgehTXDB7iS5BI/emlpjtzdf+aT9WHEgYGRSaFZ/MJaBN3R1i3uKJF/EmgZ+Ni89hKR00G71zD8glwzVDY2vgZgmD9IXe3r6LRUz0q3dmdYfcG+vJt6+Rlosd9Wa+Wzw5y0NBfozSdW+vfRe+23RnoOiDDA0Agj4N7mEV178TbWH+b3qWqiPAsLlnlXBGmjcdzeP/2xU7loAa6YUH/dCjYdazsovqohmvHwL76LUKmhmpBKsHhcHb8cQCIY0sDbTpLJTClGurXTt5jwh5l5B3bde2cg4jpiw3UppY1LFy7YZ4BVb/CulfEYn8SgBDq2SOrtBcEBeHBXchl5XssaLKj+mT4QhUMAI3MP6MdZYJVOVkAvfYvqUcTeI9+zgXN2zCr+vKzyj+FrVkWl5VIo3V2/tpcySrlH12HftQFHrESZDA1BGSqWci0vjh6ZzkoGzHZ6qKsJSHl3Jev9Wzz+a9IJSeBsF5tOWfb+BMfFMbb+Qa5Dw5EC1w9kyhJO9kb9zDAR5mb50rwn0B+NvnyA3NWy8JfdnkOA7tGVfCPsxHosVfZB04iahSj8JCIMYh/Lsl7CLZQ2bWOfRQkRDVfuNedNOz/Zy/HaZgYIyv7YI0rIbhwjyvuwkywILf5IePBATRmNAsbwbhPJ0ZD8qlywaOOqakPFad9a2nA4D/ysUTsSHdJ18iglEIX8K71wGKW6/ibbPGi5+Hq11dnxGuKGrlflD8bhDC5jRAFVGSDtw7TKaTg8cmT+ma3gAhm3jIhPFN/W5M+4+3XgRlqy4Img30sKvZS0udGNeGd8I5CVqd6HrBd4ieSExbD9m4cxLt9S45SD/OxoNCkkjm7tT63/WHvqvl7iE9tEfQpg7Mb2K4wm3WgwRqIIxJQeOFJ4pih47QAEjuLhgGTGpYvVPMJju+axYv7bb6+Lq3bl3+UzIc443vnRyk4IJrTPl1eCbIJ7fi/NVxosfcjqJAJzZZckR9d/XA6MnmaUW6yn+sDfzpOBj/NA9hKQ9zjGl5Ww6vsD8iC7pPwdn8UcMvI0LG1uVrQwpaFXM+u5o/8PuHqAWA47yLosfyMMJgp96LWa+2vG/p2d1eJj4g9ZqZldPyMdbzir5nY26VeKS96xLSinKbG0e48beG6sppmkFh5Dn5NN2nBoMV+6VqumaJDDJXCMdP0muNrDxt890VtNyhGCpjPLxRZ3NAy5/4OuXSI1XqpGdT3UJC6B8jdhM1Of4WC3qwgewrnCNuRtQyxvnizyIPe5qZpZQfDBzBxozNfmLHQZwUsHifqs8GtDMHwJ5w8m2bxpFwyLtaP3LeHcQGi9oSSrnHfUQq7Mhirql57+CXNV1JMBtS+76stY2FjUAE5WyHAEm/Eh/+pHbC5VHPnQ1N6/l0I1cqgMdoMRUxi1Es4UGkBdISgMVndtF4nJdNO46kNQM3rVqChXao9eyKhMlmJ6Ln+2EKMqZmOBGJYF1vzkepXHPu9qzcoA2o8R632lPiC3nusGt5CHckrQzuTW8BL4HmEG6I/Ffa0onOcx6dUZQfTyi2T74ITOWprTxK9xHexKHuHDwvQrCyVDTTzPzR1r4oaTDc4ZuDlivTUKLmF7RoR408I8wxOwAp0CtNLzAdG9+OMYnFz5didpb0pnjvZCMZ1A/Ko++GCvtWldXJAa7ahJDcsH/4q2WdEc9fQXg39s3sa3Jmkm20l+ZOW2c04VP3MxFX0pyTIwPkPhv8GP7x/5qecesq6tQUg7YcuYGQ3JIKVZVT0kUSjfQzhq4hNgE/DtKdFp3Kz9m9FJvjIukM132+Ay7PutawNJnGPD60jWIZxG2fpx1NLVWGzTbWiGNtgMqqVqpv5Q92FIiM4Gl0Wey5C3T11/bh1eDPNeFKWPC6Y2bD06B9WiJZ1+QoXGpxlY54oWh59u8J5FHsSlgEmKMQ+r00N+eHdnXlT8/IjDC7VN/nsCWsVhxCVThPmt/SuGmPCtMoAvSoYLtWVSgsU4Fvp4HJN3lb8RVSy7N2QrbejbDkNElkNbPJC8qmgIzcos0s+pO+BJpoE/8QlIOTMuypY7movNjERk2nXnDDmcFfGWq9/G1ivB/Y57RgMhthTZRuOifGgNti2rB8aHi1OgOFnxV0bEWFbWv9xQNDh1dteCX5k3Y00QTQuQGYbKsP2VcTqyG6X8X3q7/dY7Bz9X4dGirxWIujRNO877l1j7Gq4GDgtZHTFlfQricHZGQ1Utvia9tAU7sHZFscTVcPelT7K9HqhLhdDWwruXqU8/86W+V0FHMOJ+L70mUbMtY3kJJKv2d0SBZ57guHSmxxXulBtDh8eiJyaWqhZ1TvA4X92+6OMvwF8h3PM09xXEgi7Q1WTDgbWRA7fbSF4SCrwjhEpSKZg5QmvtmVLX28rf+F/aqeVJnP2D5WWw0gGsnW2wQTVnMrz0Uqy2CTpYy6hjz5erTxNeeJ/RzURcTjPp9Kgynb6hyNW9JE8v2mI1TvQnkV8yQ4XPfEMnKngrz+zWgdt/YEKpAn1M+w4z26ilfnerg+WuLIigJmJMuCrt614aLK4d9g8yBx/vSZX492fVUrSKdbzDmVIvAZExeuzV7PeL4sxpP33o9dkVCmUZm8546Mn8qSNR1+pVKGDSb7H0kfl28+IrXcnW/sC7cStIHKLrAHGJrjDakexs+iuRTfr36HraH7sEutwRrHcZqOYtjPS/H/WmFaSQcHF4UVxwYI92dPMBTMsTGHVtiHAyi+i0yiZFXULDgfH8DJMtAz53h0mHI72Ya2bMQqkbZApZ5VPA9WcrPImY6lAsq+owzF+7BqFLBk9nZQoUjjAUSddIhgJ7TndwJoA009e2AwjF7UA9EtBJQVpi55UZ70fIoj9SKdslGRNDKi5v0nYriD+C43Z8UN4UfmXUPqifZVZ1gOQcojrC5dfM6nc75iOwykE3KBsxtGv9Y3s3lVpgIf6DQKy07yX2HezaE2au+poDnnXsFPtgcHQWsyjztJnQt8csOlf9vM8JoBDHQB/dNPIVP1BRaVqjwIH/1o/V6rBjJ9oyyolTyRRLWiRqW8SVmASpBQen4nkONTAXs6avEjPXaQPo7ou00SmgxdV7lJfmezH6XnuBSeoR9yJPb0zSJVeos1LiHLmivjXUGnilNpXx++6nUjGBzcAmXsSrG2tHid1SMoIDAmN8Lkjdu3RSahfhqakIAWrTOgAralA/g6V8saBPz6qADuoyPHanC26XD7AryR6pW/hG1Pl9mWejnqSdADC1j2FFFmS0LYNPX6GhYVn6dCj3qUuJ0Du7z0raDaTyLUvRqklW/0nyaN2pvP3nddA5FiVDn+qcbMaUrlOMOs9I1qoSjzIjlCTwTkUBkvpsjgyMV8/QmZVppTBptPdTFMoJwPWyLGA6hJbTOJJ1dH4l0R2nHhwi0HGvu1Ky5w9hJbNOzS1p87j1g9x10+JmSWdNdVcAM7sfF9LE4MPnLpBkqRR8fF+dB0tQkdIkmAocsYCjI4e9awOe2cb0Evz5e/xeIOAt+5Vf+Xy1F9mddzYrW54xlfYtOuiebutPQaqFfOf1SF5vrBtENs6SS8kfrTlTSFBzgE4eYYl0zp8DANTvOxoZEY+ne7uPgjtQtHwxrZYqjL5Vqy2FiVLyvClW37nstLA+jXHTjCQb8Wa5sSa1Nnm8IdDm942YQODu+KWMNMuwCamLQJnU0yyAeicO3uPBVGrKsXPQC+mROIqqNOAcnTRV/YvuL6Z5usVhyxi7FfLvgBnFYtWTfOEGks4qE1g2MJmPHmt0KBH1za6MSfE5kId+Y1oH4kMrhwfS8Y6z5pfDxSVLwD1W6D2ttP041tuksB71yL7ob34YNoBxhKQiARAoe9fUjY/zdJgRwsq96c37u+P02iluocQhVHzbQrAh396DtlpxXS6NSb09ThdWIrTsK1arGy4RZxfwExOADGy+JL/B+sSRHPDITz6J9o/gS5iMhGYXAtnZFm6r83g/NEEax4W3Zppw0C/BCgnGFa7tqlESh4w8BH4G8RdLSBm51KzKoymar20slL5Oi6sZ3QeHB/wlQCBSIPRE4nb254GRKcKoFxqsriEhn7oZeMVav2aP6higydjFUvjdanpgFl+wdmhjAos3v7j26aBcCo0cuzAGquqmUTfJOeMbwj1BEfO6nMw3gy6/D56ebp0CeMoDdC0AuxliUQEjdbQ59XA5DBj2JSsxEuRqlwP4pQ5GLSUGXmdvmycPeAwPSv9e3M65aVMo6Qa6W6O6lAyhedwSPrJ5eMCjZLKnN8BUhb5SGfzTc2wxvbRJvaS3gT8xVJOo6Lt1+ClWYa7WRAY6YzFTd4HAzzxwTfoNZCHYbtwbasP1KjWahcvXXrHmdesXY+1UljNtSOVggoYzsBmhRER4rvcmxKHDbmp7hG1BPGGTCOipaH5rwwBA1aJb7Qe2mV1yluYv2cZl9naHSB2OS6xoaoE8V2s5DRbSOlgWNTrfsF6iMlcuIHo6kJxb3D6Z3MG60LgxgM+HlCWh3hjxMsaQEKo/hy4M7IGaoXJ4KYQLnqjzayp/+pAVyEI8x59a9DJ7TpPieGXnhcV7J9Hm5eVpW/BTtwjrZqcyJYi6pvBd26XmoWLcNubbdEN/rTKmHfBObvRPOebMJkkqkMmD8q6rW9p2Z7tKbpCPt1x6wdUXBYq7aSyx+f4VasTPkpmEQn1x1hp1BkzAYKjpvh/dwzQ2m1YWmsST7gPDfPJiOrzOLyHcPzkIk8lZCz80jlNqhPDIjfQi7kfnVFxS3qKRlTMyN4CCOlzARGpj7QqZ8VpgTjpJXnudg5/ooRSl9SZBgf6zAQnRZpF5rJAW89y2RI51MUxSmKWJI3+dwxa1kiZ2j1J73bGb4XTw0sFB04ngSXDwrG8kuLkQNo8pslDd3NdeMxXzjpEX2vcGEd7TXPJeleuRcrY9j1PW1G8ERjalQ8s9zMHbbf9CSMI6esX5Mxe7MMgOEAT6WEcNqNlCe7nusKNHVxK39h6cWnyPYDi7rL4RuaEBUKb34eOHEOr/Bg6bW148b3WUVvMvWZTgN0D+ewU6RHSXMZ1zBl+tyOYmM9AtxlT6AaS0qyzNvjecvEyzxSLQX0bqqyNqyDnQCBiiMFAa3EarFtmB69xm3oMpHtzsF5M5s7+Tb7WbMDSIEy0dLPoGRZeKg4149Xf/w0tz43LWLJqohJUaIcs3HhhcmPCsLunzkWktG90eZfLT4y5KwNQLQBlu3qH7BBz8iDRYYXq3z78l6Tlz/t6LbQiklbAW4R1YC3YA9Lkan9YyEOOaBfjzrFS13a0GqTNw7Jf3/PMOnvHkUMqh0m84q0tkLSDwI070hjP3mmXeUAkHjwf4SDd6bcFBF3GeY/+EAjtFHZnutWMdbFE/zFd8prL6/LXTnVrwmZolXmwlM9sBU+Y9UvPKkv+Dv3USESVaFTQuIkzFnCRb/3W7CPu2sN7luwfw912eD4HXH3bnR2uyCUv8KFFUxQEBiJQ6kF6JsS/XxtXDWPenRkOm7V1OLhup1VuWRDPgMFymrvT9Zw6NyqZytAezXcL7daxes9hLq2zpdcrY/jrPRbCI8vNs2EhiOQ26OMKPAy5dZGL9/WqiYXDiavIjSfc0N2AEHIw0Jh2/YUnMiakFNvxqzUjzRphiGsN/iqGf2uDtFgEsVNfJlvpKXopYobE6p6iRY0OPRaKDp/BlUu/+tShUUbP9rYqv1p7k4n/6xNOVeN592N9XMNU7G0sjPrBuuFpsBbnzR2FbuMIJfXmoPrr6RJJ9jv34hPHsy8i26oRoOVX52t9Hnb+FD3jJmjgUpFi6N60PIC5Ufwd5I03GqFy8S2L56o+sLt0+7zOeVpXrA8v3UWlwjzvGiWjoPj8xlYjjnJf8DE+C2GK/F91gdyb2yZc1Kg1KUBcd1OfL1AC2D6SLODw3OsvGqIYEmIzSpSAI0eEvQ41oeo4UvPxdPjiW5MUmfh+cT902DwAEcJf8bqvaE6K0kckgh06pOlvIE+ZOTcpqH/zGmhncvP0yFmbJi3fS1cI43bwuWDqEnQ+RTE+PwZmRc8WvCKh+R1Mw1GNH3znkW6Av3dzO8rIq/j46pUnJKHNnGCDqfKP2+JU8+L9F6bVlXLZJRKlPZyladGf+q8hyNRCEFibguJfHFDS7JvdQ48obN+6fqFXACpOc53Fln08INT8Q6qNBw9H7dsndR0y1ByElFGT+8NPlxTXKIMB8da/Vo3C81qAOACyD3iR36Cy+vgnC5X+uaiaAY3cBlq/9RFGcez5Bx/D+XImpWscuZN8BPWBP+bgbaGPYCJhmUcKbIAMVMlS1EGSjmeO+87RgcCz5+tzUtXQZVnuIY+WRp9oiJOEy4Wq7LxK04A5L7CPL9rYpeDsVDbX1YZy7Y2FAxxUzsoZMFjvqllpNeV1sfDVx9kEG4o+bp1l1XMql3Gs3w2T9MqDBOJgt+hmCrhJ4V+fLIphouYOD9jnLYnPdRZYLdDw3lif25EdO03O0c14dqDO2bva5UbXiZEDZ9TpYjyScvJu+XzmdjMuatWfN6AHY8h2ulxWXkhEj1bqllTzOXqLzf8y4bXfwI3dXQGHkGfpQshMLnGWxTZxiMAGL7zooA1ZcYyMcG9iXhouX4eAmhs2nhLOrtspbmHw6+jtgUEf35jheJCxkow/crsTwOKEPfEfiV1A6In61IYKKzSNf6LymjYG5Fdh39zHOq5gQvdTjKC8jiGBZLPCkrIytcLCJ03+e8qDsprPHTawvAFX7Ug05XPfCs29rCPAY3SVqbbvgXe71RGlUQ3HOTBTVjRI8fdStRk59vaG+VCYOo8A7BgfaFVc1SA571DNoXCIXkQ9NJwzdOFxlRtjxoR6yJnPy1j0eHyA6OhZG4Y2Ef9/E1cuaJvSrCUqcbW3UF5azd2FGZjsE8LLmg+0ebAsq3nSZeyCSuGFXWFC/DlyfgCblxueumFnFvxZXFH5O26VaCSVy3XOsIgTk02JK+4r+WQOqPPkCg9su06uKCHEkcUd3Xe0nc1raQk/UTjRN0+Xp8GdW/mGi+AGopyxRV+gANsV5PSq0/ZVYDY7T3YOdneOpYpm+hoKdq4CPDCdPmrDbgmSG1gBAOzhgNE4RUmwp/GalqUGbLsa92oY8GBQ7d4Zo71VmXcac9T2566e2iTU0otcMb1o/jrnk93Uw4PmRYRD89UCdMa/fZzNc/F9GrRW7MZxVHv0bkQKDKAxnR/fW+C0PywoXAK8DZ0rjJMy3cWAZkncSC/7rbmn4l7CIx97iN827jj2/Sf7o3pPMFbQNK0NQTFOzq87HFXTG3+gwzslWo2QqN6Q2IxTUsq5q17Ui0yNzCEowTp1uZa2deypA0M3NMFX/w+/bZYL72RAr+/j60OPJZA2+6CwhY89D8x64y65Cb9LYksokvzoFjUNErjXcytgt2BSY2PoujwtZK29FmclR0TiHhbPE8ItWkLjAqShZ2l9HC3UftryMn+Lu5VQw0/3quStI/Hyn/RmCLJAZ4U6I1uF2UiP+QZ+ugYQQFXk/qgezX4zyvsNl4rEQQqJQUpyiOl64EuTiRVUxpr/SS0GM5vkavuqIZjHvlKie1PKyHLMj12r3apTGj3DxVP1yYNwLm4jafcWh+LMuMlsbLbze96gEDHfAejUzUNuiel7k8XCRDXJ8lpF/EYTDbprhUy9OV9CRZwP3RoHOyqEhF/nYprujup61EA5CAgFCQBrkm9VSjjUhaFKtrK2K8gItlFJb3E6XHYDEN6wMn+JQXbt7/rXa6K5xH11U03fisoKKHhRFj5QxNw2pQ4QkEmAu8H9r4ECA+GLIyAgFt3XHYDlXUGJvVvwH95EJin4WqOn9X0/XPNSdE8Lbh6a8L9TRlqdkqtFgBZRcIbK3q+pungmwiQWu7Yjbvf0ZnVsg4ryoC8MvUCdBOuHkQzG72F08ErsQu775apS9iel6bFevJb7de3sUlsRoHXTbjexUD9SddGpPwRN9wuQs4v3cMTJNqWer7GmrqUrIplfOaGBg+tMBdX2LYCnfI0ot8IqK4CobjTN/ZoCGBCNzPF8hNp+rD9v2rvA+zM6b7c/bcB8/Phbx1n9th4ZsuutFYVLhKueKZxQgLxDn+5srSSq8ScrVVN0+Y5m1tXI2btpS2edUQ+C2qjb3bd+12IwAeNsOExcwrDAZ+lPvP7NA6fp+bY+ptS6Pu5uHVsUXLC10vDUOwTRFA3VzbwzJhCvcp6ua+6bcXsU+OQQtnPIOmlfrQvRxU3qdpNgtippXhtxKeZ4JPTIlGCJqtAszfvV4jZ3Usqy/AZZFmQKRFPpBoM3zXP80fBDHZiTY826DZfTnqpDHbmm2EX9mCUSD+kXlguLOwaDrqPA0ts5DyIfZ6+S6+nbsJyqSZuCN7KlqetpfXZbgQ6RKzEy0KXcb3AATBbeJvIqtBMSqbKLrkOgomj3rBP6igs0qF3KEOjOSRwG/ozKO5LZzSfeMdpWW48oTI2id+Opiw0qeVGsPxcaOiZDr4xF0TLj4isQsCVLXT0UPyMxtTSKIVFpabNFOkpFFqujmVj4bRx+5me44o62ikoNk5Baah+hK/t2mRdIn6csbVWsy9DynIDNRWRIAYIcVrkmFRAN6aYUrtgydLw3n3Xsat4nCKKS74nuvzSXfp9PT2T/2QZWSo/ph18LzvrpXxcA0hUQezK8RhU8EY9uPwZwvEYvqOlXNfyV82wujWRWVxLgxpAPczE1LhiTAwMnfx3TL0x0ngA0ubBsp8ksIcfThedlcR6fkgrKeRB4/wPUCZ2sNqRtNQ/zJN8FCQ9vR3reB0fIW+oA1GZj4urx98ASkzEZ509NHENjEvCkJHuFLwj8zh1sU6q2+Y7afFAUlDUOwLJsDIapGmRzP34GX0ibwoWnExT0i79x3Ye2Mk52mbqIT9XHS3dfHQP+BwHDLf+y1fLI5aGTRNvAsd0lPTJmRwhZzFz4iCT6OK2asFk13IPRcmRAxpP79Xy3KUMu+jPO1SDZN3/Aww3tFsZT80nRt/yixtNpF+HYiBUEWgqrs+B1Ctwz3Bj/PQKs5BL5/9QwYYRy24VMrXuvZV2VWMhnbF1VPwJvyBixNXQer2RVIw7EajrLBFTqozZx7Scn/nHow/NAdumPLIsg/w6+oMp+G7ggih0O+zBKgvpMh3VOC9cKZQkhn+IEzGdM9gm6bSe2YUv6C7JwjasNRVGIzE7SVaZGV3OZ7HcaZ1G1ML7lwACSCVf89k30i0DbpQVoTBDHVvd6HUC9BLP31knXxa2RanDl7JXlv3pGcXvuY0egXZdSrtYKchj2qNod500kFMPricVI3V3GrMt2f8ny6QvTITUQmqqXx4nr21NfPCTtJ8flW1u1XwswvqJpCYr2xU6KZVUYHDCEFKeA0DNT1KsidfIJbJcSiKA3KnBb8+786QK+SvHwQq5SsuO9ryQeMF3bgA5pUQqWrr/Nu1jq/zc0XekOSBTOL2uu0BBo2P/Kgp9mimfckmY9gBNZnd8WmfD24aZEsf7uEFu89/2V/p0GeT9ZD5zZ7SzBcbCDxrYmP1y27OM3zg1WA0eWUiy2IX3689TBViI6X1qePBtzWZ0BTNENCrR1dYMhq+HK77EvIRPJdgFA4w+4evs7AMUvEMQIOnLbnbRcXYGXgXUQNwClKGhReFIkmdBNbqru8KyeNgfEztNA3nE7GBDPxWgNPmjVpiwLggfqVElx4FCSlP/U6004rwUji0cWI2s96O+c6V1vGmYQRajZKI+qPI2bvnfD0+cUIq6IPlL3QChXb5lIknVdPR4XuD5Qm4EFlIvyF1u1I+HwGg4aa8+SiNQLQEzdLCOld8YKDvNRF9+Xe+2+DO/GgG6jVg4b/UayrNHAHwt0qyvz651XIa6QSiCs7TgkDMLep4lcU9AjvraHjppVEgTfRm2xIYVryhnIeeygK4jEw4gWgyk2pUFa1b/LIODbNfBTGFyqQWXfxI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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9eEaxTuXwnRHbNLuLq3","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Ruling out the softmax ALU as the bottleneck too, which points to the MMA pipeline itself or inter-partition synchronization latency as the real source of the extra cycles. I'm now breaking down the MMA workload per iteration across S, dP, dV^T, and dK^T to check if half-rate execution on the M=64 MMAs explains the gap.\n\nComputing SMEM-bound tensor-core timing for each matmul, I get roughly 1792 clks total compared to the measured ~3.3K, suggesting around 55% tensor utilization. That leaves the remaining overhead likely tied to synchronization between partitions -- barrier waits and the softmax partition's load/compute/store/fence/arrive cycle feeding into the MMA partition's wait and issue.\n\nTracing the dependency chain: dV_i and dK_i require P_i/dS_i, which depend on softmax_i finishing, which depends on S_i/dP_i completing. Since the MMA partition executes in strict program order (S_{i+1}, dP_{i+1}, dV_i, dK_i), I'm working through how dV_i's issue is gated by when softmax_i actually completes relative to S_i/dP_i being issued in the prior iteration.\n\nWith only 2 Q buffers, Q_{i+1} can't load into its buffer until dK_{i-1} frees it up, and since S_{i+1} is the very next tensor core operation after dK_{i-1}, this means S_{i+1} must stall for the full load latency every single iteration — creating a recurring bubble I hadn't accounted for before.\n\nThe measured timings confirm this: ~1.8K cycles of MMA plus the full load latency matches both the L2-resident case (~3.4K clks) and the HBM case (~3.9K clks). To fix this, I need to reorder the MMA sequence so that enough compute work falls between when a buffer is freed and when it's reused, perhaps by reordering to do dV_i and dK_i first, then pushing S ahead further in the pipeline.\n\nBut pipelining S/dP two steps ahead means needing a third Q buffer, which defeats the constraint of staying at 2 buffers. So I'm trying to figure out the minimal reordering that keeps 2 buffers viable: tracking which operation last uses Q_j's buffer (dK_j) versus which first reuses it (S_{j+2}), and ensuring enough other tensor work sits between them — same logic applies to dO_j's buffer between dV_j and dP_{j+2}.\n\nI'm trying different orderings of the pattern to find one with enough gap to cover latency L. Pattern A gives zero gap between dK_j and S_{j+2}, which fails. Pattern B pushes S_{j+2} after dV_j, giving a gap close to but still short of L, so I'm testing Pattern C where dK_j and dP_{j+1} are interleaved to see if that closes the gap.\n\nWith only two buffers and four MMAs per iteration, the total available work (~1.8K clks) is marginally below the needed latency (~1.6-2K clks), so I'm considering whether splitting Q's two uses or abandoning the transpose approach entirely might be necessary.\n\nEstimating the TMA latency more carefully: loading 64KB across several box transfers at roughly 100-200 B/clk plus fixed overhead gives somewhere around 1-1.4K clocks, which seems plausible for L2-resident data. With this ~1.5K latency estimate, pattern C's bubbles of 600-1000 clks per iteration (instead of the full ~1.5K) could save roughly 15-25% in practice.\n\nI'm also checking whether I can reorder the MMA issue sequence in Triton's warp-specialization by reordering the source dots — computing dK before dV instead of after — since the pipelining hoists the next iteration's S/dP ahead of the current dV/dK, and this reordering shifts where the gaps for Q and dO fall relative to the current scheme where dV comes first.\n\nI try reducing SMEM elsewhere to free up buffers but the numbers don't add up to fit within budget, so that path seems blocked. I'll just test the quick swap of computing dK before dV in source order and see what happens empirically.\n\n","signature":"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Testing the reversed order (dP before S) actually makes things worse — it increases the Q gap to 896 while eliminating the dO gap entirely, so neither ordering is strictly better; I need to find a different arrangement that balances both.\n\nI'm considering splitting the matmuls into finer pieces — dividing the D dimension into halves so each half becomes its own dot with a separate buffer, which could allow more interleaving without changing when the last use happens. If Q is split into Q_lo and Q_hi as separate loads, then S and dK can each be computed as a sum of two smaller matmuls, giving each half its own buffer lifetime to exploit.\n\nContinuing the same gap calculation for dO_lo and dO_hi, I find gaps around 700-770 clocks, all notably better than the 384/512 baseline, though this comes at the cost of more MMA instructions and barriers while keeping total SMEM usage the same. The smaller half-tile loads also mean shorter transfer times. 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kernel.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9eHroYHoxc8BeF84abR","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_0169yHPPNZ6Z8R2iY1N4jv3A","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('exp_swap.py').read()\nold_desc = '''    q_desc = tl.make_tensor_descriptor(Q, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, D])\n    do_desc = tl.make_tensor_descriptor(DO, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, D])\n    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])'''\nnew_desc = '''    DH: tl.constexpr = D // 2\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, DH])\n    do_desc = tl.make_tensor_descriptor(DO, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, DH])\n    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[DH, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[DH, BN])'''\nassert old_desc in src; src = src.replace(old_desc, new_desc)\nold_kv = '''    kt = kt_desc.load([hk * D, pid * BN])\n    vt = vt_desc.load([hk * D, pid * BN])'''\nnew_kv = '''    kt0 = kt_desc.load([hk * D, pid * BN])\n    kt1 = kt_desc.load([hk * D + DH, pid * BN])\n    vt0 = vt_desc.load([hk * D, pid * BN])\n    vt1 = vt_desc.load([hk * D + DH, pid * BN])'''\nassert old_kv in src; src = src.replace(old_kv, new_kv)\nold_z = '''    dkT = tl.zeros([D, BN], dtype=tl.float32)\n    dvT = tl.zeros([D, BN], dtype=tl.float32)'''\nnew_z = '''    dkT0 = tl.zeros([DH, BN], dtype=tl.float32)\n    dkT1 = tl.zeros([DH, BN], dtype=tl.float32)\n    dvT0 = tl.zeros([DH, BN], dtype=tl.float32)\n    dvT1 = tl.zeros([DH, BN], dtype=tl.float32)'''\nassert old_z in src; src = src.replace(old_z, new_z)\nold_l = '''        q = q_desc.load([i0, h * D])\n        do = do_desc.load([i0, h * D])'''\nnew_l = '''        q0 = q_desc.load([i0, h * D])\n        q1 = q_desc.load([i0, h * D + DH])\n        do0 = do_desc.load([i0, h * D])\n        do1 = do_desc.load([i0, h * D + DH])'''\nassert old_l in src; src = src.replace(old_l, new_l)\nold_m = '''        st = tl.dot(q, kt)\n        dp = tl.dot(do, vt)'''\nnew_m = '''        st = tl.dot(q0, kt0)\n        st = tl.dot(q1, kt1, st)\n        dp = tl.dot(do0, vt0)\n        dp = tl.dot(do1, vt1, dp)'''\nassert old_m in src; src = src.replace(old_m, new_m)\nold_a = '''        dkT = tl.dot(tl.trans(q), dsb, dkT)\n        dvT = tl.dot(tl.trans(do), pb, dvT)'''\nnew_a = '''        dkT0 = tl.dot(tl.trans(q0), dsb, dkT0)\n        dkT1 = tl.dot(tl.trans(q1), dsb, dkT1)\n        dvT0 = tl.dot(tl.trans(do0), pb, dvT0)\n        dvT1 = tl.dot(tl.trans(do1), pb, dvT1)'''\nassert old_a in src; src = src.replace(old_a, new_a)\nold_s = '''    rd = tl.arange(0, D)\n    mj = rj < s1\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    if GS == 1:\n        dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n        dv = tl.trans(dvT).to(tl.bfloat16)\n        tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n        tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])\n    else:\n        off = gs.to(tl.int64) * T * HKV * D\n        tl.store(DK + off + krow[:, None] + rd[None, :], tl.trans(dkT * sm_scale), mask=mj[:, None])\n        tl.store(DV + off + krow[:, None] + rd[None, :], tl.trans(dvT), mask=mj[:, None])'''\nnew_s = '''    rd = tl.arange(0, DH)\n    mj = rj < s1\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    p0 = krow[:, None] + rd[None, :]\n    if GS == 1:\n        tl.store(DK + p0, tl.trans(dkT0 * sm_scale).to(tl.bfloat16), mask=mj[:, None])\n        tl.store(DK + p0 + DH, tl.trans(dkT1 * sm_scale).to(tl.bfloat16), mask=mj[:, None])\n        tl.store(DV + p0, tl.trans(dvT0).to(tl.bfloat16), mask=mj[:, None])\n        tl.store(DV + p0 + DH, tl.trans(dvT1).to(tl.bfloat16), mask=mj[:, None])\n    else:\n        off = gs.to(tl.int64) * T * HKV * D\n        tl.store(DK + off + p0, tl.trans(dkT0 * sm_scale), mask=mj[:, None])\n        tl.store(DK + off + p0 + DH, tl.trans(dkT1 * sm_scale), mask=mj[:, None])\n        tl.store(DV + off + p0, tl.trans(dvT0), mask=mj[:, None])\n        tl.store(DV + off + p0 + DH, tl.trans(dvT1), mask=mj[:, None])'''\nassert old_s in src; src = src.replace(old_s, new_s)\nopen('exp_split.py', 'w').write(src)\nEOF\ntimeout 600 python prof.py exp_split.py 0 2>&1 | grep -E \"^ +_dkdv|rror|OutOf\" | awk '{print $1, $(NF-1)}'","description":"Split Q/dO/K/V into D-halves for finer buffer release"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4103,"cache_read_input_tokens":221997,"cache_creation":{"ephemeral_5m_input_tokens":4103,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"7af377bb-5f19-4118-a8e4-c118a279fc3b","timestamp":"2026-10-18T11:44:15.878Z","request_id":"req_011Cg9eHrPzAQyE4vs2mPV83"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9ebburMvqdZJf5QVepD","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Shape 3 is wrong in dv with 1910 bad elements, which points to a race condition rather than a logic error. Swapping the dK/dV order changed correctness, suggesting the shared P buffer in the warp-specialized code is being overwritten by the next iteration's softmax before the current dV MMA finishes reading it, implying the barriers aren't actually synchronizing that dependency.\n\nThis worries me because v4, the current solution, could have the same latent race even though it passed every shape across multiple runs -- races like this can easily be intermittent. If the \"pb empty\" signal is tied to completion of the wrong MMA (say dK's commit rather than dV's), then whichever operation runs last is the one that's actually protected: with dV first and dK last like the swapped version, pb gets released too early and corrupts dV; with v4's order of dV then dK, pb's release happens after dK, which only completes after dV in-order, so it's safe. That would explain exactly why the swap broke shape 3 while v4 stayed correct.\n\nBut I'm not fully convinced v4's order is safe either -- if the empty barrier were instead tied to the first MMA issued, dsb would get released after dV but before dK finishes, racing on dS. Since v4 has passed repeatedly, the barrier is probably scoped per-buffer rather than globally, but I can't rule out it just hasn't hit the race yet. Either way, the swapped ordering is unsafe as written, so I need another way to capture the earlier-release benefit on Q without exposing dS or P to a race -- maybe by restructuring which buffer is retired first rather than swapping MMA order outright.\n\nThis gives the same gap values of 512 and 384, so this ordering is equivalent to the swap option I just considered.\n\nThe P/dS buffer release still stays tied to dK, matching v4's safety. So I'll compute dp before st, reordering the TMEM loads in the softmax partition to put dp first, building this on top of v4 rather than the exp_swap variant.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9edYjuM8a11B5cej4VN","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Testing dP-first ordering gives 1932us, actually worse than v4's 1813, so my assumption about the pipelined order must be wrong — perhaps softmax isn't waiting on dp the way I thought. The exp_swap variant hit 1660us but turned out racy, so I need to figure out what made that faster despite the correctness issue.\n\nI'm considering ways to make the swap safe: maybe tying P and dS buffer releases properly, or merging them into one SMEM buffer, though Triton doesn't let me slice SMEM directly as an MMA operand. I could try reordering dK before dV or inserting an artificial dependency, but I should really just check the TTGIR for exp_swap to see which barrier releases the P buffer — time's getting short so I need to look quickly rather than keep theorizing.\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":2023,"cache_read_input_tokens":233167,"cache_creation":{"ephemeral_5m_input_tokens":2023,"ephemeral_1h_input_tokens":0},"output_tokens":4,"service_tier":"standard","inference_geo":"global","speed":"standard"},"input_transformations":[],"diagnostics":null,"context_management":null},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a4303ff6-097b-4607-b877-8d4b61f49467","timestamp":"2026-10-18T11:48:16.819Z","request_id":"req_011Cg9edXWyyuVQB8rtoCpyi","thinking_duration_ms":9319,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01M1VCU29bNjKxHHaG2A8TmP","type":"tool_result","content":"10:      ttng.wait_barrier %q_160, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n14:      ttng.tc_gen5_mma %q_161, %kt_127, %st_162, %false, %dvT_158, %st_163[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, #\n16:      ttng.wait_barrier %do_164, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n20:      ttng.tc_gen5_mma %do_165, %vt_132, %dp_166, %false, %dvT_158, %dp_167[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, \n23:      ttng.wait_barrier %st_169, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n25:      ttng.wait_barrier %dp_170, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n27:      ttng.wait_barrier %q_171, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n31:      ttng.tc_gen5_mma %q_172, %kt_127, %st_173, %false, %dvT_159, %st_174[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, #\n33:      ttng.wait_barrier %do_175, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n37:      ttng.tc_gen5_mma %do_176, %vt_132, %dp_177, %false, %dvT_159, %dp_178[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, \n45:      ttng.wait_barrier %st_185, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n47:      ttng.wait_barrier %dp_186, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n49:      %dvT_187:11 = scf.for %dvT_192 = %c0_i32_156 to %arg39 step %c1_i32_157 iter_args(%arg49 = %false, %dvT_193 = %dvT_182, %st_194 = %st_184, %q_195 = %c1_i32_157, %q_196 = %c0_i32_156, %arg54 = %c1_i32_157, %q_197 = %q_161,\n55:        ttng.wait_barrier %dsb_206, %dsb_205 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n60:        ttng.tc_gen5_mma %dkT_204, %dsb_207, %dkT_208, %arg49, %true_154, %dsb_209[%true_154], %q_210[%true_154] {is_async} : !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable\n63:        ttng.wait_barrier %pb_212, %dsb_205 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n68:        ttng.tc_gen5_mma %dvT_211, %pb_213, %dvT_214, %arg49, %true_154, %pb_215[%true_154], %do_216[%true_154] {is_async} : !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable>\n75:        ttng.wait_barrier %q_222, %q_221, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n79:        ttng.tc_gen5_mma %q_223, %kt_127, %st_224, %false, %dvT_203, %st_225[%dvT_203] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32,\n81:        ttng.wait_barrier %do_226, %q_221, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n85:        ttng.tc_gen5_mma %do_227, %vt_132, %dp_228, %false, %dvT_203, %dp_229[%dvT_203] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32\n92:        ttng.wait_barrier %st_235, %st_234, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n94:        ttng.wait_barrier %dp_236, %st_234, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n96:        scf.yield %true_154, %dvT_237, %st_234, %q_219, %q_221, %dsb_205, %q_198, %q_223, %q_195, %do_201, %do_227 : i1, i32, i32, i32, i32, i32, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x256xbf16, #sh\n99:      ttng.tc_gen5_commit %dvT_188 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n101:      ttng.tc_gen5_commit %dkT_189 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n103:      ttng.tc_gen5_commit %dp_190 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n105:      ttng.tc_gen5_commit %st_191 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n115:      %dvT_160:2 = scf.for %dvT_161 = %c0_i32_157 to %arg39 step %c1_i32_158 iter_args(%arg49 = %c1_i32_158, %arg50 = %c0_i32_157) -> (i32, i32)  : i32 {\n130:        ttng.wait_barrier %q_172, %q_171 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n136:        ttng.wait_barrier %do_175, %q_171 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n141:        scf.yield %q_169, %q_171 : i32, i32 \n177:    ttng.wait_barrier %dkT_82, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n179:    ttng.arrive_barrier %dkT_80, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n184:    ttng.wait_barrier %dvT_85, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n187:    ttng.arrive_barrier %dvT_83, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"2cc925d8-181e-42ff-8348-296b9f7e64bf","timestamp":"2026-10-18T11:48:22.322Z","tool_use_result":{"stdout":"10:      ttng.wait_barrier %q_160, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n14:      ttng.tc_gen5_mma %q_161, %kt_127, %st_162, %false, %dvT_158, %st_163[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, #\n16:      ttng.wait_barrier %do_164, %c0_i32_156, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n20:      ttng.tc_gen5_mma %do_165, %vt_132, %dp_166, %false, %dvT_158, %dp_167[%dvT_158] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, \n23:      ttng.wait_barrier %st_169, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n25:      ttng.wait_barrier %dp_170, %c1_i32_157, %dvT_158 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n27:      ttng.wait_barrier %q_171, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n31:      ttng.tc_gen5_mma %q_172, %kt_127, %st_173, %false, %dvT_159, %st_174[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, #\n33:      ttng.wait_barrier %do_175, %c0_i32_156, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n37:      ttng.tc_gen5_mma %do_176, %vt_132, %dp_177, %false, %dvT_159, %dp_178[%dvT_159] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32, \n45:      ttng.wait_barrier %st_185, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n47:      ttng.wait_barrier %dp_186, %st_184, %dvT_159 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n49:      %dvT_187:11 = scf.for %dvT_192 = %c0_i32_156 to %arg39 step %c1_i32_157 iter_args(%arg49 = %false, %dvT_193 = %dvT_182, %st_194 = %st_184, %q_195 = %c1_i32_157, %q_196 = %c0_i32_156, %arg54 = %c1_i32_157, %q_197 = %q_161,\n55:        ttng.wait_barrier %dsb_206, %dsb_205 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n60:        ttng.tc_gen5_mma %dkT_204, %dsb_207, %dkT_208, %arg49, %true_154, %dsb_209[%true_154], %q_210[%true_154] {is_async} : !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable\n63:        ttng.wait_barrier %pb_212, %dsb_205 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n68:        ttng.tc_gen5_mma %dvT_211, %pb_213, %dvT_214, %arg49, %true_154, %pb_215[%true_154], %do_216[%true_154] {is_async} : !ttg.memdesc<256x64xbf16, #shared2, #smem, mutable>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable>\n75:        ttng.wait_barrier %q_222, %q_221, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n79:        ttng.tc_gen5_mma %q_223, %kt_127, %st_224, %false, %dvT_203, %st_225[%dvT_203] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32,\n81:        ttng.wait_barrier %do_226, %q_221, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n85:        ttng.tc_gen5_mma %do_227, %vt_132, %dp_228, %false, %dvT_203, %dp_229[%dvT_203] {is_async} : !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<256x64xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x64xf32\n92:        ttng.wait_barrier %st_235, %st_234, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n94:        ttng.wait_barrier %dp_236, %st_234, %dvT_203 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n96:        scf.yield %true_154, %dvT_237, %st_234, %q_219, %q_221, %dsb_205, %q_198, %q_223, %q_195, %do_201, %do_227 : i1, i32, i32, i32, i32, i32, !ttg.memdesc<64x256xbf16, #shared, #smem, mutable>, !ttg.memdesc<64x256xbf16, #sh\n99:      ttng.tc_gen5_commit %dvT_188 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n101:      ttng.tc_gen5_commit %dkT_189 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n103:      ttng.tc_gen5_commit %dp_190 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n105:      ttng.tc_gen5_commit %st_191 {ttg.partition = array<i32: 1>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n115:      %dvT_160:2 = scf.for %dvT_161 = %c0_i32_157 to %arg39 step %c1_i32_158 iter_args(%arg49 = %c1_i32_158, %arg50 = %c0_i32_157) -> (i32, i32)  : i32 {\n130:        ttng.wait_barrier %q_172, %q_171 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n136:        ttng.wait_barrier %do_175, %q_171 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n141:        scf.yield %q_169, %q_171 : i32, i32 \n177:    ttng.wait_barrier %dkT_82, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n179:    ttng.arrive_barrier %dkT_80, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n184:    ttng.wait_barrier %dvT_85, %c0_i32 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n187:    ttng.arrive_barrier %dvT_83, 1 : !ttg.memdesc<1xi64, #shared1, #smem, mutable>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01M1VCU29bNjKxHHaG2A8TmP","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9eekpxnEhzpNaQVB969","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Checking the swapped version, the dK and dV MMA signals look correctly paired with their respective buffers, so the per-MMA barrier logic seems right. That makes me suspect the dV error comes from somewhere else, like the wait condition on the pb buffer's phase.\n\nI trace through the accumulator flags and epilogue commits, but both dK and dV seem to be handled fine there too — tcgen05.commit should track all prior MMAs correctly. Since the errors only show up in dv (not dS or dk) for the packed-docs G=2 shape, I suspect the real issue lies somewhere in the default partition's final epilogue logic rather than the MMA barrier setup itself.\n\nI wonder if edge cases like shape 3's packed-doc short kv-blocks (few iterations per head) could be the culprit. Honestly I can't fully debug Triton's warp-specialization in the time I have, so the real question is whether v4 (dV then dK) is actually safe — it passed shape 3 multiple times while the swapped version failed immediately. I should run shape 3 repeatedly with different seeds to build more confidence, and also reconsider whether the dO buffer release timing is the real issue in the swapped version.\n\nSince the default partition waits on pb-empty before dsb-empty, that ordering still holds fine. I check whether pb and dsb barriers share a phase counter via the wait_barrier call, which should be okay as long as they flip together, but I can't pin down the bug quickly this way — so I'll shift to testing v4 robustness across multiple seeds on shapes 3 and 5 while continuing to think about other safe improvements in parallel.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9egbL1TdSDrptorL5y2","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm wondering if testing exp_swap on shape 3 with different seeds is worth it, since if it's a Triton bug tied to instruction ordering I can't actually fix it anyway. Then again, maybe the real issue is a race between the TMEM accumulator read in the epilogue and the final MMA completing, which the swap just happens to expose.\n\nWith about 65 minutes left, I'm weighing remaining safe optimizations: splitting dV for MMA ordering seems too risky given it caused hangs before; batching two heads per iteration to reduce bubbles blows the buffer budget past what fits in two stages; shrinking the TMA loads for Q/dO doesn't seem to help either. I'm also considering whether the S/dP MMAs could run faster if the tile size were adjusted.\n\nI'm checking whether num_warps=4 versus 8 matters for the warp-specialized partition — 8 tested slightly worse. A persistent kernel to overlap epilogue/prologue across tiles seems too complex given the warp-specialization constraints. For the dQ kernel at 260us, it's already near peak throughput so there's little room. For the prep kernel, I'm wondering if fusing delta computation with the transpose into a single kernel could save launch overhead, and whether the K/V transpose could be avoided entirely by using the transposed S orientation instead.\n\nComputing delta inside the dKdV kernel isn't viable since it'd need extra O tiles loaded per iteration, exceeding available SMEM. No concurrent streams are allowed, so running prep kernels alongside others isn't possible either. I'm estimating the delta kernel currently hits 5 TB/s and could reach 6.5 TB/s with better config, while the transpose kernel is at 6 TB/s — fusing both into a single launch with programs split between the two tasks could save a few microseconds of launch overhead.\n\nLoad balancing with LPT for packed docs shows shape 3 at 0.79 and shape 5 at 0.76 efficiency. Looking at the dS store cost (~100us on shape 0, 5% overhead), the TMA store path uses a separate SMEM staging buffer with an async wait that could stall the softmax partition — I considered switching to pointer stores instead, but that requires a similar-sized layout-conversion scratch buffer, so it's roughly a wash since softmax isn't the actual bottleneck. Trying BN=64 with 2 kv heads doesn't seem promising either.\n\nI'm also considering whether diagonal tile MMA work can be reduced further — fully masked tiles are already skipped, so there's not much left there. Thinking through bigger structural changes: processing two 64-row q-tiles per iteration would blow SMEM budget with 3 staging buffers, distributed SMEM across a 2-CTA cluster isn't available in Triton, and dropping V^T from SMEM by computing dP^T = V dO^T instead could be another avenue worth exploring.\n\nI try attributing the bubble to Q load latency against the dP/dK gaps, but testing \"dp first\" ordering actually made things worse (1932 clks), which contradicts my model — so the pipeliner's actual MMA issue order must differ from what I assumed. I go back to the v4 partition dump to trace the real sequence: prologue issuing S_0, dP_0, S_1, dP_1, then the loop body's ordering of dV/dK before S_{i+2}.\n\nLooking at the exp_swap dump more carefully, I realize S/dP are actually pipelined two iterations ahead rather than one, using double-buffered TMEM. That means Q_i, Q_{i+1}, and Q_{i+2} all need to stay live simultaneously when S_{i+2} is issued, since Q_i's buffer isn't freed until dK_i actually completes — so I need to check whether two Q buffers are enough to cover that overlap.\n\nTracing the tensor core queue further, each iteration issues dV_i, dK_i, then a bubble while Q_{i+2} loads, followed by S_{i+2} and dP_{i+2} — the pattern repeats consistently with about an L-sized bubble per iteration, matching the observed ~2K clock gap. With the swap variant, the ordering shifts to dK_i then dV_i instead.\n\nTracing the dV-then-dK sequence, the dO wait should give a similar L-384 bubble, but dP_{i+2} depends on Q which adds another 512 cycle delay on top. Yet this ordering measured worse at 1932 clocks, which contradicts my bubble model — maybe the softmax partition's dependency on S (needed before P and dV) introduces an extra constraint I haven't accounted for, though the softmax typically has slack. With time running short, I need to move forward.\n\nGiven the limited time left, I'm settling on two safe wins: fusing the prep step (delta plus transpose) into one kernel to save some microseconds, and trying LPT ordering for kv blocks across sequences for a modest gain on packed shapes. I'm also considering whether the per-iteration bubble is driven by TMA latency for the Q tile — my forced L2-hit experiment showed a 13% improvement, so improving L2 hit rates by reordering how Q/dO tiles are accessed across causal kv-block programs could be the real lever.\n\nWorking through the access pattern: in grid order with roughly 18 concurrent b-values spread across 8 hk heads, each q-tile gets reused about 18 times within an 18-iteration window as different b-programs reach it at staggered times, so I'm estimating the L2 footprint needed to capture these reuses across all 16 q-heads.\n\nThat working set comes out to roughly 37MB, which should already fit comfortably in L2, implying a high natural hit rate — so I'm puzzled why forcing a smaller hot set gave a 13% speedup. Maybe it's not about capacity at all but about cross-die L2 latency on a dual-die GPU, since TMA bypasses L1 and the forced set might just be landing on a closer partition.\n\nSetting that aside, I'm estimating load imbalance from program ordering: for the ragged doc shapes the tail effect looks like roughly 5% waste, while for the windowed shapes each kv block does similar work so LPT wouldn't help much, and wave quantization losses look around 1.5%. I should also check whether the dQ kernel's launch ordering is contributing to inefficiency.\n\nFor the dQ kernel, q-blocks with more kv tiles appear later for causal attention, so iterating ascending puts lightest work first — reversing to descending order would front-load heavier blocks for better load balancing, which should work reasonably even for packed sequences. The dKdV kernel already iterates in a favorable order since ascending kv blocks are heaviest-first under causal masking, so that one's fine as is.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01V5gnkYJ61hm6BUckCcFnc3","type":"tool_result","content":"94:      ttng.fence_async_shared {bCluster = false} \n95:      ttng.arrive_barrier %dsb_109, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n142:      ttng.wait_barrier %st_244, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n145:      %st_247 = ttng.tmem_load %st_245 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n146:      ttng.arrive_barrier %st_246, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n156:      ttng.wait_barrier %dp_256, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n159:      %dp_259 = ttng.tmem_load %dp_257 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n160:      ttng.arrive_barrier %dp_258, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n167:      ttng.wait_barrier %pb_103, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n168:      ttg.local_store %pb_263, %pb_196 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n169:      ttng.fence_async_shared {bCluster = false} \n170:      ttng.arrive_barrier %pb_105, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n172:      ttng.wait_barrier %dsb_107, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n173:      ttg.local_store %dsb_266, %dsb_198 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n174:      ttng.fence_async_shared {bCluster = false} \n175:      ttng.arrive_barrier %dsb_109, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n204:      %dvT_294:22 = scf.for %dvT_305 = %c0_i32 to %6 step %c1_i32 iter_args(%dvT_306 = %dvT_240, %dvT_307 = %dvT_243, %dvT_308 = %c0_i32, %dvT_309 = %dvT_265, %i0_310 = %i0, %i0_311 = %i0_135, %i0\n219:        ttng.async_tma_store_wait {pendings = 0 : i32} \n220:        ttg.local_store %dsb_320, %23 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n221:        ttng.fence_async_shared {bCluster = false} \n222:        ttng.async_tma_copy_local_to_global %ds_desc_45[%27, %c0_i32] %23 : !tt.tensordesc<tensor<64x64xbf16, #shared>>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n240:        ttng.wait_barrier %st_352, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n243:        %st_355 = ttng.tmem_load %st_353 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n244:        ttng.arrive_barrier %st_354, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n254:        ttng.wait_barrier %dp_364, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n257:        %dp_367 = ttng.tmem_load %dp_365 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n258:        ttng.arrive_barrier %dp_366, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n269:        ttng.wait_barrier %pb_377, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n271:        ttg.local_store %pb_371, %pb_378 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n272:        ttng.fence_async_shared {bCluster = false} \n274:        ttng.arrive_barrier %pb_379, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n277:        ttng.wait_barrier %dsb_381, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n279:        ttg.local_store %dsb_380, %dsb_382 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n280:        ttng.fence_async_shared {bCluster = false} \n282:        ttng.arrive_barrier %dsb_383, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n317:      ttng.async_tma_store_wait {pendings = 0 : i32} \n328:      ttng.wait_barrier %dp_301, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n330:      ttng.arrive_barrier %dp_302, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n332:      ttng.wait_barrier %st_303, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n334:      ttng.arrive_barrier %st_304, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable>","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"4ec2ff1b-aad2-40bb-acc5-19bd32438d31","timestamp":"2026-10-18T11:50:04.712Z","tool_use_result":{"stdout":"94:      ttng.fence_async_shared {bCluster = false} \n95:      ttng.arrive_barrier %dsb_109, 1, %dvT_125 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n142:      ttng.wait_barrier %st_244, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n145:      %st_247 = ttng.tmem_load %st_245 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n146:      ttng.arrive_barrier %st_246, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n156:      ttng.wait_barrier %dp_256, %st_242, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n159:      %dp_259 = ttng.tmem_load %dp_257 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n160:      ttng.arrive_barrier %dp_258, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n167:      ttng.wait_barrier %pb_103, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n168:      ttg.local_store %pb_263, %pb_196 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n169:      ttng.fence_async_shared {bCluster = false} \n170:      ttng.arrive_barrier %pb_105, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n172:      ttng.wait_barrier %dsb_107, %pb_264, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n173:      ttg.local_store %dsb_266, %dsb_198 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n174:      ttng.fence_async_shared {bCluster = false} \n175:      ttng.arrive_barrier %dsb_109, 1, %dvT_130 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n204:      %dvT_294:22 = scf.for %dvT_305 = %c0_i32 to %6 step %c1_i32 iter_args(%dvT_306 = %dvT_240, %dvT_307 = %dvT_243, %dvT_308 = %c0_i32, %dvT_309 = %dvT_265, %i0_310 = %i0, %i0_311 = %i0_135, %i0\n219:        ttng.async_tma_store_wait {pendings = 0 : i32} \n220:        ttg.local_store %dsb_320, %23 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n221:        ttng.fence_async_shared {bCluster = false} \n222:        ttng.async_tma_copy_local_to_global %ds_desc_45[%27, %c0_i32] %23 : !tt.tensordesc<tensor<64x64xbf16, #shared>>, !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n240:        ttng.wait_barrier %st_352, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n243:        %st_355 = ttng.tmem_load %st_353 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n244:        ttng.arrive_barrier %st_354, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n254:        ttng.wait_barrier %dp_364, %st_351, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n257:        %dp_367 = ttng.tmem_load %dp_365 : !ttg.memdesc<64x64xf32, #tmem1, #ttng.tensor_memory, mutable> -> tensor<64x64xf32, #linear1> \n258:        ttng.arrive_barrier %dp_366, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n269:        ttng.wait_barrier %pb_377, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n271:        ttg.local_store %pb_371, %pb_378 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n272:        ttng.fence_async_shared {bCluster = false} \n274:        ttng.arrive_barrier %pb_379, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n277:        ttng.wait_barrier %dsb_381, %pb_376, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n279:        ttg.local_store %dsb_380, %dsb_382 : tensor<64x64xbf16, #linear1> -> !ttg.memdesc<64x64xbf16, #shared, #smem, mutable> \n280:        ttng.fence_async_shared {bCluster = false} \n282:        ttng.arrive_barrier %dsb_383, 1, %dvT_331 : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n317:      ttng.async_tma_store_wait {pendings = 0 : i32} \n328:      ttng.wait_barrier %dp_301, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n330:      ttng.arrive_barrier %dp_302, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n332:      ttng.wait_barrier %st_303, %dvT_300 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable> \n334:      ttng.arrive_barrier %st_304, 1 {ttg.partition = array<i32: 0>, ttg.warp_specialize.tag = 0 : i32} : !ttg.memdesc<1xi64, #shared1, #smem, mutable>","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01V5gnkYJ61hm6BUckCcFnc3","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9enHMh1uaoNkd43Yn4n","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm tracing through the barrier wait/arrive sequence for the P store and checking the phase consistency, then looking at where the dS TMA store value gets written into local memory during the softmax loop.\n\nChecking the double-buffered S/dP TMEM handoff between softmax and MMA partitions doesn't reveal an obvious bug by inspection. I consider whether Q's buffer could be freed earlier by decoupling it from dK's usage, but that would require a second copy since there's no extra SMEM available, so I decide to set this aside and look at the v4 structure for other optimization opportunities instead.\n\nSince the per-iteration bubble is dominated by load latency, I think about reducing TMEM footprint by single-buffering S/dP instead of double-buffering, freeing space, but that doesn't let BN grow since dV^T/dK^T scale with it anyway. Processing two kv heads or exploiting GQA sharing doesn't work either since Q/dO tiles differ per head, so I consider instead splitting each iteration's Q/dO loads into two halves along the q dimension to hide latency without needing more SMEM.\n\nWith that avenue closed too, I decide to step back given the remaining time and focus on quantifying fixed overheads instead. Looking at the non-dKdV time breakdown per shape, I notice shape 4 has 27% overhead and shape 5 has 24%, which seems worth investigating further, particularly the prep cost for the 4×2K, Hq=8, Hkv=4 configuration.\n\nComputing delta inside dQ doesn't work since dKdV needs it first, and computing it inside dKdV fails because O isn't loaded there. I also consider reloading K row-major inside the WS kernel loop, but that blows SMEM budget, and a pointer-based load outside the loop hit a Triton compiler error when trying to transpose K into SMEM.\n\nI'm skeptical that loading K via descriptor and explicitly transposing in registers would avoid that same failure, so I set that idea aside. Instead I'm sketching a fused prep kernel where different program IDs in the same grid branch into either computing delta or transposing K/V, though each branch has different register and SMEM requirements to work out.\n\nShifting focus to the dQ kernel, which only hits about 45% of peak throughput at 260 us — the issue likely comes from using too small a K-dimension per pipeline stage, causing frequent MMA barrier waits. Doubling the K per stage to 128 by combining two dS tiles could cut that overhead and push closer to the ~70% peak Triton achieves on Blackwell with better-tuned GEMM configs.\n\nThis layout works for the dKdV kernel's tile stores too, with row stride scaling fine for the causal case. But checking the dQ kernel's double-buffering, the bigger dS and K boxes per stage push memory usage to 96KB, which only fits 2 stages — worse than before, so this layout change seems to hurt the dQ kernel's pipelining.\n\nSticking with K=64 per stage and 4 stages seems safer there, since K=128 with fewer stages doesn't clearly help. For the GQA case, I note that shared kv heads across q-heads naturally hit L2, which is already working in our favor. I'm trying to think if the GS split would help by increasing program count, but it doesn't actually change per-iteration behavior, so that's a dead end.\n\nRunning two CTAs per SM isn't feasible given the SMEM footprint is too large. I'm also checking BN=32 with orientation B and warp specialization, working through the TMEM and SMEM budgets for different stage counts — both 2-stage and 3-stage configurations end up either borderline or exceeding capacity, so they're not workable either. I'm shifting toward reconsidering the overall work distribution instead.\n\nTMEM fits two CTAs at 256 cols. But checking the MMA shapes for the dV^T computation, the small N dimension (32) makes these instructions SMEM-bandwidth-bound rather than compute-bound—roughly 1.5x bottlenecked by memory traffic relative to the MAC throughput.\n\nSumming the instruction costs for S, dP, dV, dK across both CTAs gives roughly 2800 clocks per SM for 4M MACs, versus the current 3900—about 28% faster in the ideal case where both CTAs overlap perfectly. But since both CTAs are SMEM-bound and compete for the same bandwidth, that gain likely won't fully materialize in practice.\n\nI can't reliably pull off a big restructure in 55 minutes, so I should stick to safe small wins: prep fusion for delta+tpose (~1%), and double-checking num_warps and BT for the _prep/_tpose kernels. Actually I'm reconsidering the swap failure—since dv doesn't touch dS at all, the race must be elsewhere, not in my zero-half store logic. Let me check whether exp_swap's error on shape 3 is deterministic by running the stress test with seed 1 across 3 reps, which would tell me if it's a race or a genuine logic bug.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9esCfJkDT5Kc4NGMos4","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Version 4 passed all 36 additional runs with no failures, and I've got about 59 minutes left. I'm weighing further improvements within the remaining time: prep fusion is low risk but modest gain, LPT ordering for packed docs could yield more but carries medium risk, while investigating hidden-shape issues is another option worth considering.\n\nSince edge tests already passed, I'm thinking the real lever is overall speed rather than chasing the per-shape pass threshold. I'm checking whether the GS=4 split strategy that helped shape 2 could also apply to GS=2 shapes like shape 4, running through the program counts and iteration balance to confirm it stays well-balanced across SMs, and then turning to dQ timing for shape 4 to see if the grid sizing there is efficient.\n\nI'm also weighing warp count tuning for the windowed dKdV kernel (4 beats 8), checking that windowed partial-tile handling is fine, and now comparing two program orderings for dKdV grid locality — heads-fastest versus batch-fastest — to see which keeps more co-running programs reading the same Q/dO tiles for better L2 reuse.\n\nWith descending iteration order and batch-fastest grid ordering, all programs of a head would read the same Q tile at the same lockstep timestep, letting each tile load once from HBM and serve many programs from L2 simultaneously. But the earlier descending-order test with heads-fastest didn't help, since co-running programs there span many different batches and heads rather than sharing tiles.\n\nThis tells me the real bottleneck isn't L2 misses but L2 latency itself, so improving locality further won't matter — the remaining inefficiency is the structural pipeline bubble from Triton's warp-specialization barrier scheme with only 2 buffers. I'm now reconsidering the swap race: maybe I can force both the P and dS buffers to be consumed by both MMAs so their release barriers can't fire early, introducing a deliberate false dependency to make the reordered dK/dV swap safe.\n\nBoth use the same phase parity since each fires once per iteration, so that's fine, and the prologue's empty barriers are presumably pre-arrived initially. I can't pin down the actual bug here, so I'll abandon the swap idea and move on to prep fusion, reconsidering LPT more concretely for shape 3 with its 8 documents of paired lengths around 3072/1024, where per-block work scales with remaining sequence length.\n\nEstimating program counts: roughly 2048 programs total across 8 heads, giving about 14 waves, with the longest program (the 3072-length doc's first block) running ~96 iterations at ~2us each, so around 192us — I'm working out whether the load imbalance across SMs from this length distribution is significant enough to require rebalancing.\n\nAveraging across SMs, I get roughly 507 iterations per SM, or about 1ms total, and since the longest single program (96 iterations) is small relative to that, LPT scheduling likely isn't critical. The real concern is the tail effect if a long document ends up scheduled last, potentially leaving one SM with a heavier final block while others finish early — I estimate this tail could cost somewhere around 5-10%.\n\nFor the LPT implementation, I'm thinking through how to sort blocks by remaining length descending and compute the scheduling permutation, but a naive O(N²) comparison approach across all blocks seems too slow for a single program, so I'm considering splitting the rank computation across multiple programs instead.\n\nThis whole approach is roughly 30 lines and might buy 3-8% on shapes 3, 5, and hidden packed shapes, though I'm unsure it helps the dQ kernel since it has its own ordering. A simpler alternative would be to order programs by b first then sequence, processing block 0 across all sequences before block 1, which approximates LPT scheduling without the full sorting overhead.\n\nReconsidering though, this ordering isn't exact LPT since a short doc's early block could outrank a long doc's later, heavier block. Windowed shape 5 probably won't benefit since work per kv block stays roughly constant there, so shape 3 and the hidden packed shapes are really the main targets. I'm now thinking about implementing true LPT ordering via a counting sort, bucketing keys by their value divided into chunks of 64.\n\nWriting rank computation kernel...\n\nStill computing rank logic...\n\nI need to make sure the dKdV kernel uses the original block index rather than the program index for the K^T column lookup, and recompute total cheaply from CU. For windowed attention, LPT ordering by remaining length should still work reasonably well even though actual work scales with min(remaining, window). Time to just implement this carefully with the limited time left.\n\n","signature":"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"}],"container":null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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Q9hkcRfUhaeuv4htx849SH","type":"tool_result","content":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[1000] 2 2 0 ok\n[513, 1] 8 4 100 ok\n[700, 1500] 2 1 127 ok\n_dkdv 1.287ms\n_dq 207.391us\n_prep 47.808us\n_tpose 41.165us\n_rank 6.374us\n_dkdv 1.825ms\n_dq 262.548us\n_prep 26.746us\n_tpose 22.138us\n_rank 3.853us","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"24e0fc78-df44-417a-affa-77b8495962bb","timestamp":"2026-10-18T11:52:33.250Z","tool_use_result":{"stdout":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[1000] 2 2 0 ok\n[513, 1] 8 4 100 ok\n[700, 1500] 2 1 127 ok\n_dkdv 1.287ms\n_dq 207.391us\n_prep 47.808us\n_tpose 41.165us\n_rank 6.374us\n_dkdv 1.825ms\n_dq 262.548us\n_prep 26.746us\n_tpose 22.138us\n_rank 3.853us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01Q9hkcRfUhaeuv4htx849SH","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9f4jH7BLoSGLypMo7eT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The full bench geomean comes in at 0.756 versus v4's 0.776, with shapes 2 and 4 getting noticeably worse while shapes 0, 1, 3, 5 improved — so block-fastest ordering seems to hurt specifically when Hkv is small, like in shape 2 (Hkv=2, GS=2) and shape 4 (4 seqs, Hkv=4).\n\nTracing through shape 4's wave structure, block-fastest ends up clustering heavy blocks (seq=0 at each head) together in early waves while leaving other heavy blocks stranded in the tail wave, which creates a bad imbalance. I'm weighing whether a hybrid approach — picking block-fastest vs head-fastest based on program count relative to SM count — would help, but that feels like overfitting to the public shapes and risky for hidden ones given the modest gains either way. I want to work through shape 0's wave structure too to see if there's a more principled rule than just heuristic tuning.\n\nLooking closer, shape 4 has fewer total programs (528, ~3.6 waves) while shape 5 has more (1040, ~7 waves) despite both having Hkv=4 — so wave count seems like the real driver. That suggests a simple heuristic: use block-fastest ordering when total programs reach roughly 6+ waves (≥900), otherwise stick with head-fastest.\n\nI'll implement this as a compile-time flag that compares nkb*HKV*GS against 900 (roughly 148 SMs × 6 waves), avoiding any runtime device property calls to keep things simple. This should favor block-fastest for shapes 0, 1, and 3, matching what the data shows.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9f4jH7BLoSGLypMo7eT","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found mixed results: key-block-fastest ordering helps shapes with ~7+ program waves but hurts ~3.5-wave shapes where tail balance matters more. I'll choose ordering based on wave count as a general rule rather than tailoring to specific shapes.\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":708,"cache_read_input_tokens":264458,"cache_creation":{"ephemeral_5m_input_tokens":708,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"774ed787-2c30-4936-a1b7-ff5f2c0cae5d","timestamp":"2026-10-18T11:54:06.961Z","request_id":"req_011Cg9f4iqK7YNWvJQyQwDdv","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9f4jH7BLoSGLypMo7eT","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01X2oQywJn33yE5BpDPgSBfY","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('sol_v4.py').read()\nold = '''          GS: tl.constexpr):\n    hk = tl.program_id(0) // GS\n    gs = tl.program_id(0) % GS\n    pid = tl.program_id(1)'''\nassert old in src\nsrc = src.replace(old, '''          GS: tl.constexpr, BF: tl.constexpr):\n    if BF:\n        hk = tl.program_id(1) // GS\n        gs = tl.program_id(1) % GS\n        pid = tl.program_id(0)\n    else:\n        hk = tl.program_id(0) // GS\n        gs = tl.program_id(0) % GS\n        pid = tl.program_id(1)''')\nold2 = '''    _dkdv[(HKV * GS, nkb)](q, kt, vt, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                           H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, GS=GS,'''\nassert old2 in src\nsrc = src.replace(old2, '''    bf = nkb * HKV * GS >= 900\n    grid = (nkb, HKV * GS) if bf else (HKV * GS, nkb)\n    _dkdv[grid](q, kt, vt, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, GS=GS, BF=bf,''')\nopen('sol_v7.py', 'w').write(src)\nEOF\ngrep -n \"num_warps=4, num_stages=2)\" sol_v7.py; CUDA_LAUNCH_BLOCKING=1 timeout 600 python edge.py sol_v7.py \"[([60, 68], 8, 1, -1), ([1, 2, 3, 130, 7], 4, 1, -1), ([300, 77], 16, 2, 50), ([513, 1], 8, 4, 100), ([4000, 3000, 9000], 4, 2, 200)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-250; timeout 1500 python bench.py sol_v7.py 2>&1 | grep -E \"^[0-9]|geomean|error|Error\" | cut -c1-250","description":"Implement wave-count-based grid order, test and bench"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":708,"cache_read_input_tokens":264458,"cache_creation":{"ephemeral_5m_input_tokens":708,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"f28a6392-5e6e-4b15-8cf5-d93621d9ab3d","timestamp":"2026-10-18T11:54:11.554Z","request_id":"req_011Cg9f4iqK7YNWvJQyQwDdv"}
{"type":"system","subtype":"task_started","task_id":"botb5046f","run_id":"0mvdrpc4r-960c5f55","tool_use_id":"toolu_01X2oQywJn33yE5BpDPgSBfY","description":"Implement wave-count-based grid order, test and bench","is_backgrounded":false,"task_type":"local_bash","uuid":"1f4dd52b-d669-487e-a710-16ad58c2807f","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"botb5046f","run_id":"0mvdrpc4r-960c5f55","tool_use_id":"toolu_01X2oQywJn33yE5BpDPgSBfY","status":"completed","output_file":"","summary":"Implement wave-count-based grid order, test and bench","uuid":"7112002d-5758-49a3-8598-496112ef75b1","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01X2oQywJn33yE5BpDPgSBfY","type":"tool_result","content":"243:                           num_warps=4, num_stages=2)\n[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n[4000, 3000, 9000] 4 2 200 ok\n0 0: ok 2093.1 us  expert 1518  ratio 0.725\n1 1: ok 691.2 us  expert 510  ratio 0.738\n2 2: ok 1143.9 us  expert 980  ratio 0.857\n3 3: ok 1465.3 us  expert 1165  ratio 0.795\n4 4: ok 361.3 us  expert 302  ratio 0.836\n5 5: ok 666.6 us  expert 520  ratio 0.780\ngeomean ratio 0.7870354133279035","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"0f08c4d9-782c-400c-b2bd-bb9d1174cc06","timestamp":"2026-10-18T11:54:31.755Z","tool_use_result":{"stdout":"243:                           num_warps=4, num_stages=2)\n[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n[4000, 3000, 9000] 4 2 200 ok\n0 0: ok 2093.1 us  expert 1518  ratio 0.725\n1 1: ok 691.2 us  expert 510  ratio 0.738\n2 2: ok 1143.9 us  expert 980  ratio 0.857\n3 3: ok 1465.3 us  expert 1165  ratio 0.795\n4 4: ok 361.3 us  expert 302  ratio 0.836\n5 5: ok 666.6 us  expert 520  ratio 0.780\ngeomean ratio 0.7870354133279035","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01X2oQywJn33yE5BpDPgSBfY","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9f7yr3DNgYoXAYym8wk","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_019d3LQZPx7GUQBY2z9Sx4T4","name":"Bash","input":{"command":"cp sol_v7.py solution.py && timeout 1200 python check.py 2>&1 | tail -7 | cut -c1-250; date","description":"Install v7 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":3019,"cache_read_input_tokens":265166,"cache_creation":{"ephemeral_5m_input_tokens":3019,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"9d909aee-fdf6-4f18-b320-649e3ea5ec37","timestamp":"2026-10-18T11:54:34.217Z","request_id":"req_011Cg9f7xcsojFRLsWA8rePy"}
{"type":"system","subtype":"task_started","task_id":"bcmjlwcje","run_id":"0mvdrptmh-6c7646d3","tool_use_id":"toolu_019d3LQZPx7GUQBY2z9Sx4T4","description":"Install v7 and run official check","is_backgrounded":false,"task_type":"local_bash","uuid":"e9bf6e50-09e7-4e88-8b5d-f6ca0c605546","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"bcmjlwcje","run_id":"0mvdrptmh-6c7646d3","tool_use_id":"toolu_019d3LQZPx7GUQBY2z9Sx4T4","status":"completed","output_file":"","summary":"Install v7 and run official check","uuid":"1dae9a0c-cc62-4cdf-b762-e907f8ec3262","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_019d3LQZPx7GUQBY2z9Sx4T4","type":"tool_result","content":"{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}: correct, 2102.56 us, starting kernel 20825.25 us\n{'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}: correct, 699.71 us, starting kernel 5703.78 us\n{'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}: correct, 1154.94 us, starting kernel 11399.04 us\n{'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}: correct, 1467.17 us, starting kernel 11166.08 us\n{'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}: correct, 371.01 us, starting kernel 3009.92 us\n{'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}: correct, 674.40 us, starting kernel 5169.92 us\nautosave: kept this version in /workspace/.best/solution.py (8.500x the starting kernel on the public shapes)\nSun Oct 18 11:54:41 UTC 2026","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"64105184-07d9-4507-9309-17f42b661a28","timestamp":"2026-10-18T11:54:41.640Z","tool_use_result":{"stdout":"{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}: correct, 2102.56 us, starting kernel 20825.25 us\n{'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}: correct, 699.71 us, starting kernel 5703.78 us\n{'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}: correct, 1154.94 us, starting kernel 11399.04 us\n{'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}: correct, 1467.17 us, starting kernel 11166.08 us\n{'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}: correct, 371.01 us, starting kernel 3009.92 us\n{'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}: correct, 674.40 us, starting kernel 5169.92 us\nautosave: kept this version in /workspace/.best/solution.py (8.500x the starting kernel on the public shapes)\nSun Oct 18 11:54:41 UTC 2026","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_019d3LQZPx7GUQBY2z9Sx4T4","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9f8ib3oirpobiXB55MS","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'd misjudged the elapsed time — it's actually only been about 44 minutes, leaving roughly 75 left, which is more than I thought. With v7 installed showing a geomean of 0.787 and 8.5x versus the starting kernel, I have enough runway to try a bigger improvement.\n\nI'm weighing options for reducing the pipeline bubble: investigating whether the swap race could be made safe for an 8% gain on dKdV, restructuring load latency so Q/dO tiles aren't blocked by dK completion, splitting the dK MMA's contraction differently, pulling Q from TMEM directly, storing dS without the usual path, running two independent kv-block streams per CTA, or reordering the MMA issue so S/dP for a later iteration happens before dV/dK for the current one — though most of these hit TMEM constraints or require deeper investigation into the race condition before they're viable.\n\nI run through the SMEM budget math for increasing Q/dO buffer depth to 3 stages, trying different BN values and staging buffer configurations, but consistently land just over the 227K limit no matter how I trim dS staging or shrink K/V tiles — frustratingly close but not quite fitting. I also consider fp8 for dO but rule it out on precision grounds, then move to examining whether the dS store cost (~100us, 5% of shape 0) could be avoided via recompute, and start looking at the dQ GEMM itself, which takes 260us (12%) on shape 0, wondering if it can be fused.\n\nInstead of fusing, I explore widening the dQ kernel to BM=256 rows so two M=128 tiles share each K-tile load — the TMEM and SMEM budgets work out with 3 pipeline stages at 192K, doubling the FLOPs per K-tile load and improving arithmetic intensity. This could push dQ throughput from ~1.06 to 1.3-1.4 PFLOPS, cutting shape 0's dQ time from 260us to roughly 200us.\n\nBut checking the dS tile layout, the two q-blocks in a BM=256 pair don't land on adjacent rows for a given kv block, so I'd need two separate TMA descriptor loads of [128,64] per stage rather than one combined load — still workable, just requires handling the union of each q-block's kv range separately.\n\nThe real problem is masking: for the first q-block, kv blocks beyond its own range don't have valid stored tiles, so indexing into the shared buffer would read garbage from adjacent tiles rather than correctly-masked zeros. I'd have to either zero-pad unused slots (costly) or split into shared/exclusive MMA passes (too complex), so I'll skip this approach and move on to merging the delta and transpose kernels in prep step 8.\n\nLooking at prep step 9, the delta kernel runs at 27 us and seems memory-bound around 5 TB/s against a roughly 6.5-7 TB/s achievable ceiling on B300 HBM; the access pattern loads strided 512-byte rows per head, which should still be DRAM-friendly, so I'm considering computing delta across all heads together instead.\n\nI'm reworking the approach so each program loads a contiguous block spanning all heads at once rather than per-head strided rows, summing per head and writing a transposed delta output — this contiguous layout should improve DRAM efficiency over the current strided version. The tpose kernel similarly reads a single head's rows with stride and writes the transpose.\n\nRather than chasing the swap race further, I'll focus on merging the prep and tpose kernels and applying the low-risk prep improvements first, since reordering the dV/dK/Q/dO buffer roles doesn't seem to lead anywhere productive.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fEZMqM8BUC87eawa7Y","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Settling on RB=32, NW=4 for a small ~3us gain. With about 70 minutes left, I'm shifting focus to the bigger opportunity: the swap race, since an 8% win on the dominant kernel is the largest available gain. But first I want to double-check whether the failure in the swap run was actually caused by something else, looking back at the exp_swap benchmark shapes.\n\nShape 3 failed intermittently with a bad dv value while other shapes and a repeated stress test passed, pointing to a genuine race condition rather than a deterministic bug. I'm tracing where dv could race: it's accumulated in TMEM and read in the epilogue after the dvT barrier, with the commit issued after all MMAs in the loop so it should only fire once everything completes. I'm now checking whether TMEM buffers for S/dP might be overlapping with the dvT allocation given the column layout, which could explain the corruption.\n\nBut a more likely culprit is SMEM: if the allocator overlapped the pb buffer (read by the final dV MMA) with the dS TMA staging buffer used by the default partition, then a write to dS could clobber pb while dV is still reading it—corrupting P and producing the wrong dv exactly as seen.\n\nThis same race could exist in v4 too, just less likely to manifest if the dV MMA runs earlier relative to the staging store. I should check v4's TTGIR for the allocation offsets on its local_allocs to confirm whether the buffers actually overlap there as well.\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":1126,"cache_read_input_tokens":272365,"cache_creation":{"ephemeral_5m_input_tokens":1126,"ephemeral_1h_input_tokens":0},"output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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Dymw485nsWxnnEX3QjA3aS","type":"tool_result","content":"allocation.offset = 131072 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 163840 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 221696 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221712 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221728 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221744 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221824 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221840 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221856 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221872 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221760 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221776 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 65536 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221792 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221808 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 196608 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221888 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221904 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 204800 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221920 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221936 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221184 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221440 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 212992 : i32} : () -> !ttg.memdesc<64x64xbf16\nallocation.offset = 131072 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 163840 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 221696 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221712 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221728 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221744 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221824 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221840 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221856 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221872 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221760 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221776 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 65536 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221792 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221808 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 196608 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221888 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221904 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 204800 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221920 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221936 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221184 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221440 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 212992 : i32} : () -> !ttg.memdesc<64x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 65536 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 131072 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 163840 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 196608 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 204800 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 212992 : i32} : () -> !ttg.memdesc<64x64xbf16\nallocation.offset = 221184 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221440 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221696 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221712 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221728 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221744 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221760 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221776 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221792 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221808 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221824 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221840 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221856 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221872 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221888 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221904 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221920 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221936 : i32} : () -> !ttg.memdesc<1x1xi64","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"5e06ea52-39b0-44dd-9597-9f5f5b830814","timestamp":"2026-10-18T11:56:49.010Z","tool_use_result":{"stdout":"allocation.offset = 131072 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 163840 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 221696 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221712 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221728 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221744 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221824 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221840 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221856 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221872 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221760 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221776 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 65536 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221792 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221808 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 196608 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221888 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221904 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 204800 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221920 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221936 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221184 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221440 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 212992 : i32} : () -> !ttg.memdesc<64x64xbf16\nallocation.offset = 131072 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 163840 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 221696 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221712 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221728 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221744 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221824 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221840 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221856 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221872 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221760 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221776 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 65536 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 221792 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221808 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 196608 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221888 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221904 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 204800 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 221920 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221936 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221184 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221440 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 212992 : i32} : () -> !ttg.memdesc<64x64xbf16\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<1xi64\nallocation.offset = 0 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 65536 : i32} : () -> !ttg.memdesc<2x64x256xbf16\nallocation.offset = 131072 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 163840 : i32} : () -> !ttg.memdesc<256x64xbf16\nallocation.offset = 196608 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 204800 : i32} : () -> !ttg.memdesc<1x64x64xbf16\nallocation.offset = 212992 : i32} : () -> !ttg.memdesc<64x64xbf16\nallocation.offset = 221184 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221440 : i32} : () -> !ttg.memdesc<1x64xf32\nallocation.offset = 221696 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221712 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221728 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221744 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221760 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221776 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221792 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221808 : i32} : () -> !ttg.memdesc<2x1xi64\nallocation.offset = 221824 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221840 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221856 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221872 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221888 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221904 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221920 : i32} : () -> !ttg.memdesc<1x1xi64\nallocation.offset = 221936 : i32} : () -> 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{"type":"system","subtype":"thinking_tokens","estimated_tokens":1098,"estimated_tokens_delta":592,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"74865eae-4373-47ff-85a3-52b17eddea0f"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fJ5vgyGUbtSvEmWVA5","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm mapping out the v7 buffer layout - Q, dO, K^T, V^T, pb, dsb, dS staging, and lse/delta scratch all sit at distinct offsets with no overlaps, confirming there's no SMEM aliasing issue like before.\n\nThat barrier I noted at offset 0 actually overlaps the Q buffer intentionally - it's the allocator reusing the prologue K^T/V^T load barrier's memory once it's dead, since Q loading starts only after that barrier is waited on inside warp_specialize. This should be safe as long as Triton emits an inval_barrier before repurposing that memory as plain data, which seems likely. Now I want to check whether the swap version uses the same allocation scheme.\n\nChecking the dS TMA staging path, the default partition waits for the previous store to finish before reusing the staging buffer, so that's not where the race comes from either. Given time constraints I'll stop chasing this particular swap issue and instead weigh remaining options: polishing prep (~+0.3%), merging the two launches (~+0.5%), trying GQA-packed Q tiles at BN=64 (which doesn't fit memory), or reworking the dQ kernel to process larger KV blocks per iteration.\n\nNone of the dQ tiling variants pan out—loading two dS/K tiles per iteration costs more stages, and reducing stage count to 5 blows the memory budget. Fusing dQ into dKdV isn't feasible either, so I'm now considering whether the dQ kernel could overlap with the tail of the dKdV kernel to reclaim wasted SM time from its partially-occupied last wave, though a persistent combined kernel seems blocked by dependency constraints.\n\nTesting GS=4 for dKdV would add extra traffic from more partial reductions, roughly 134MB more — the reduce kernel itself costs about 15us for shape 2, which seems manageable. I'll just quickly test option 10 and then move to option 2.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fL1bHvFhqCGYgcM1Rn","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_018qdnsh7QXg4rR4nF599efv","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('sol_v7.py').read()\n# replace _prep with a merged prep (delta over flattened rows + K/V transpose)\ns0 = src.index(\"@triton.jit\\ndef _prep(\")\ns1 = src.index(\"@triton.jit\\ndef _locate(\")\nsrc = src[:s0] + src[s1:]\ns0 = src.index(\"@triton.jit\\ndef _tpose(\")\ns1 = src.index(\"@triton.jit\\ndef _dkdv(\")\nnewk = '''@triton.jit\ndef _prep(O, DO, DELTA, K, V, KT, VT, CU, n, T, TP, NDP, H: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr,\n          RB: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n    pid = tl.program_id(0)\n    if pid < NDP:\n        r = pid * RB + tl.arange(0, RB)\n        m = r < T * H\n        rd = tl.arange(0, D)\n        off = r.to(tl.int64)[:, None] * D + rd[None, :]\n        o = tl.load(O + off, mask=m[:, None], other=0.0).to(tl.float32)\n        do = tl.load(DO + off, mask=m[:, None], other=0.0).to(tl.float32)\n        t = r // H\n        h = r % H\n        tl.store(DELTA + h.to(tl.int64) * T + t, tl.sum(o * do, 1), mask=m)\n    else:\n        blk = (pid - NDP) // HKV\n        hk = (pid - NDP) % HKV\n        s, s0, s1, b = _locate(CU, n, blk, BN, NP)\n        if s < n:\n            rt = s0 + b * BN + tl.arange(0, BN)\n            m = rt < s1\n            rd = tl.arange(0, D)\n            row = (rt.to(tl.int64) * HKV + hk) * D\n            kk = tl.load(K + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n            vv = tl.load(V + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n            dst = (hk * D + rd).to(tl.int64)[:, None] * TP + (blk * BN + tl.arange(0, BN))[None, :]\n            tl.store(KT + dst, tl.trans(kk))\n            tl.store(VT + dst, tl.trans(vv))\n\n\n'''\nsrc = src[:s0] + newk + src[s1:]\nold1 = \"    _prep[(triton.cdiv(T, 64), H)](o, do, delta, T, H=H, D=D, BT=64, num_warps=8)\\n\"\nold2 = \"    _tpose[(nkb, HKV)](k, v, kt, vt, cu_seqlens, n, TP, HKV=HKV, D=D, BN=BN, NP=NP, num_warps=8)\\n\"\nassert old1 in src and old2 in src\nsrc = src.replace(old1, \"    ndp = triton.cdiv(T * H, 32)\\n    _prep[(ndp + nkb * HKV,)](o, do, delta, k, v, kt, vt, cu_seqlens, n, T, TP, ndp, H=H, HKV=HKV, D=D, RB=32, BN=BN,\\n                             NP=NP, num_warps=4)\\n\")\nsrc = src.replace(old2, \"\")\nopen('sol_v8.py', 'w').write(src)\nEOF\nCUDA_LAUNCH_BLOCKING=1 timeout 600 python edge.py sol_v8.py \"[([60, 68], 8, 1, -1), ([1, 2, 3, 130, 7], 4, 1, -1), ([300, 77], 16, 2, 50), ([513, 1], 8, 4, 100), ([1000], 12, 4, -1)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-250; for s in 0 4; do timeout 600 python prof.py sol_v8.py $s 2>&1 | grep -E \"^ +_prep\" | awk '{print $1, $(NF-1)}'; done","description":"Merge delta and transpose into one prep launch"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2007,"cache_read_input_tokens":279685,"cache_creation":{"ephemeral_5m_input_tokens":2007,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"53f90976-78a4-4c6c-bc00-5a71a0fab0d7","timestamp":"2026-10-18T11:57:30.691Z","request_id":"req_011Cg9fL19zznPjzSDNCupL3"}
{"type":"system","subtype":"task_started","task_id":"b4lhngbjg","run_id":"0mvdrtls8-05b97e0e","tool_use_id":"toolu_018qdnsh7QXg4rR4nF599efv","description":"Merge delta and transpose into one prep launch","is_backgrounded":false,"task_type":"local_bash","uuid":"3260065e-9026-461a-8553-4d5cf3454820","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_018qdnsh7QXg4rR4nF599efv","type":"tool_result","content":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n[1000] 12 4 -1 ok\n_prep 40.877us\n_prep 23.890us","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"1352d613-7f1b-404f-b2fc-c2017a0bf647","timestamp":"2026-10-18T11:57:55.801Z","tool_use_result":{"stdout":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n[1000] 12 4 -1 ok\n_prep 40.877us\n_prep 23.890us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_018qdnsh7QXg4rR4nF599efv","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fQg8ekDQsa2Ex2eJDY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"With v8 at 0.795 and about 72 minutes left, I'm weighing whether to chase the swap race fix for a few more points or try a smarter restructure to eliminate the bubble, since the dependency between S_{i+2} and the buffer freed by dK_i seems to be the real bottleneck.\n\nI'm trying to figure out whether reducing the pipeline depth of S/dP from 2 iterations to 1 would actually help, but tracing through the buffer lifetimes it looks like the same dependency chain reappears regardless—Triton still issues S_{i+2} right after dK_i, recreating the identical stall. I need to go back and double check the prologue's issue order to confirm it really is i+2 rather than i+1 before drawing conclusions.\n\nI wonder if I can reorder within v7 so dK_i doesn't block S_{i+2}'s Q buffer, but the real constraint is Q_{i+2}'s buffer collides with Q_i's. Maybe manually unrolling two q-tiles per iteration and interleaving their MMAs so dK_A completes well before tile B needs that buffer back could help, though with only 2 buffers this depends on per-variable buffering rather than per-tile.\n\nTracing through the per-iteration MMA ordering (S_a, dP_a, S_b, dP_b, dV_a, dK_a, dV_b, dK_b), I can check that each buffer's free-to-reuse gap is large enough: q_a's slot frees after dK_a and isn't needed again until the next iteration's S_a, giving a 768-clock gap, q_b similarly gives 1024 clocks, and dO_a frees after dV_a in time for the next dP_a — so single-buffering with this ordering should satisfy the pipeline timing.\n\nManual 2x unrolling at num_stages=1 looks like it could expose these much larger gaps compared to Triton's default scheduling, but I'm now questioning whether Triton's warp-specialized pipeline actually schedules S/dP MMAs ahead of time under num_stages=1, since that behavior was tied to the STAGES=2 double-buffering — if it doesn't pipeline them, both TMEM buffers get consumed within a single iteration instead.\n\nTensor core occupancy looks mostly busy. But checking TMEM, that fits at 512 columns. SMEM is tighter though—adding up Q/dO buffers, K/V transpose storage, and P/dS staging for both tiles pushes the total to roughly 232-240K, which overshoots the budget.\n\nP_a and P_b need separate buffers since they hold distinct values, so sharing isn't an option there. I'm trying to see if the dS staging buffer can be eliminated or reused from the MMA operand buffer, similar to how the non-warp-specialized v1 version handled the TMA store, since that would free up the 8K needed to fit under the 232448-byte limit.\n\nI'm also considering merging the dV computation for both 64-row tiles into a single MMA by loading dO as one combined [128,256] tile, but computing S/dP separately per half would require slicing an SMEM tile, which Triton doesn't support directly.\n\nSo unroll-by-2 doesn't fit in SMEM here. I'm now exploring a different angle: interleaving heads across loop iterations instead of fixing a single head per iteration, to see if that removes the stage-buffer bubble from v7.\n\nActually the real question is the swap race itself—tracing through which barriers each dK/dV MMA signals (dsb-empty, Q-empty, pb-empty, dO-empty) to see if the ordering is truly symmetric, and whether the accumulator flag and dS TMA store could be interfering with that symmetry.\n\nI'm checking the default partition's pb-empty wait pattern across iterations, including the peeled first iteration's initial barrier phase, and now suspecting the MMA partition's own wait on the pb barrier might be where the real bug lives.\n\nActually, I'm reconsidering the failure's root cause — maybe it's not a barrier ordering bug at all, but a genuine data race producing wrong (finite but incorrect) values in dv, rather than NaN leakage. I should try rerunning exp_swap on shape 3 several more times to get a sense of the actual failure rate.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fUFkKDD94rYrtzPXDm","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm trying to figure out why the earlier failure happened only after shapes 0-2 were processed in the bench run, wondering if it's tied to leftover state like an L2 flush or garbage in a reused buffer, and tracing through the bench's sequence of case creation, reference computation, NaN-fill, kernel call, and check across shapes.\n\nWorkspace buffers allocated with torch.empty could carry over garbage from previous shapes' memory, and if any code path reads uninitialized workspace before writing it, that would explain non-deterministic failures. I'm checking whether the dS tiles read by the dQ kernel are all properly written by both halves of dKdV, and whether pad columns in the kt/vt buffers are correctly zeroed by the tpose kernel's masked store for rows beyond the sequence length.\n\nTracing through, the delta and lse inputs look fully initialized, and the pad rows in kt do get zeroed and stored correctly, so nothing obviously reads garbage. Since this failed once in the benchmark but never reproduced in 30 stress runs, I suspect a rare timing-dependent race tied to kernel specialization/compilation state on the first call for a given shape, so I want to compare what's different about the first call in the benchmark versus the stress test.\n\nGiven I can't pin down the root cause, using exp_swap is risky: a catastrophic correctness failure during grading far outweighs the modest speed gain, so unless the observed failure rate is quite low, it's not worth the expected value tradeoff.\n\nSince v4/v7/v8 have passed ~60+ checked runs without a similar race, I'll stick with v8's ordering. I'm double-checking the zero-half stores I added in v4 to confirm they write to disjoint memory from the TMA loop stores, so there's no overlap affecting dq.\n\nWith the race concern settled, I'm now thinking about further optimizing the dQ kernel, which takes 260us (12.5% of total) on shape 0. One idea is processing two q-blocks per program to share K loads and halve SMEM traffic, though the causal masking means the two blocks have different (overlapping) kv ranges that I'd need to handle carefully.\n\nI'm weighing whether to loop over the union of the two ranges with conditional MMAs per block, but that's complex and may not pipeline well in Triton. Another angle is looking at how far the dQ kernel sits below peak FLOPS to decide if this optimization is even worth the complexity.\n\nLooking at the dKdV kernel's epilogue cost, where transposing fp32 dK^T/dV^T tiles through shared memory before storing could account for a meaningful slice of per-program time in the windowed case.\n\nThinking about windowed attention shapes, each kv block of 64 sees roughly 17 q-tiles, giving ~34 iterations per program, with prologue/epilogue overhead estimated at 5-7% of runtime. I'm considering merging two kv blocks per program to overlap epilogue and prologue stages, but Triton lacks persistent-kernel constructs to support that easily.\n\nGiven limited remaining time, I'm weighing other safe tuning options: adjusting MMA instruction shapes for the S/dP tiles, or trying a GQA-packed layout with BQ=32 per head so two heads combine into 64 total rows.\n\nThat doesn't pan out since M=32 isn't a supported MMA shape, so I'm checking if a 3-stage pipeline with smaller BN=32 kv blocks fits within SMEM budget, tallying up Q/dO, K^T/V^T, and P/dS staging sizes.\n\nStill exceeds the 227K limit, so the tiling approaches aren't viable. I'm shifting focus to running robustness tests on edge-case shapes: small L values, boundary window sizes, G=1/4/8 configurations, and larger sequence lengths to verify memory scaling.\n\nFor a 1×16K sequence with Hq=16, the dS buffer works out to roughly 8.66 GB, which fits fine on a 287GB GPU though fragmentation is a minor concern. Checking the row indices confirm they stay within int32 bounds even at the largest configured shapes.\n\nI should now test some edge-case shapes: G=1, small L, W≥L, W=0, and the full 16K single-sequence case.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fYsSmgGmFkZqPmf54H","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01JZMXASTp26PS5nZ5UeDPHr","name":"Bash","input":{"command":"cat > /workspace/dist.py << 'EOF'\nimport sys, torch, importlib.util\nimport task as T\nspec = importlib.util.spec_from_file_location('sol', sys.argv[1]); sol = importlib.util.module_from_spec(spec); spec.loader.exec_module(sol)\ndef run(lens, Hq, Hkv, W, mode, seed=0):\n    g = torch.Generator(device='cuda'); g.manual_seed(seed)\n    lens_t = torch.tensor(lens, device='cuda', dtype=torch.int64)\n    Tn = int(lens_t.sum()); D = 256; bf = torch.bfloat16\n    cu = torch.zeros(len(lens) + 1, device='cuda', dtype=torch.int32); cu[1:] = torch.cumsum(lens_t, 0).to(torch.int32)\n    def mk(H):\n        x = torch.randn(Tn, H * D, generator=g, device='cuda')\n        if mode == 'large': x = x * 30\n        if mode == 'small': x = x * 1e-4\n        if mode == 'outlier':\n            m = torch.rand(Tn, H * D, generator=g, device='cuda') < 0.01\n            x = torch.where(m, x * 80, x)\n        if mode == 'zero':\n            r = torch.rand(Tn, 1, generator=g, device='cuda') < 0.1\n            x = torch.where(r, torch.zeros_like(x), x)\n        if mode == 'rowscale':\n            s = 10 ** (torch.rand(Tn, 1, generator=g, device='cuda') * 4 - 2)\n            x = x * s\n        if mode == 'shift': x = x + 3\n        return x.view(Tn, H, D).to(bf)\n    q, k, v, do = mk(Hq), mk(Hkv), mk(Hkv), mk(Hq)\n    o = torch.empty(Tn, Hq, D, device='cuda', dtype=bf); lse = torch.empty(Hq, Tn, device='cuda')\n    ml = max(lens)\n    T._tf32(T._forward, [q, k, v, o, do, lse, cu, ml, W])\n    dq = torch.full((Tn, Hq, D), float('nan'), device='cuda', dtype=bf)\n    dk = torch.full((Tn, Hkv, D), float('nan'), device='cuda', dtype=bf)\n    dv = torch.full((Tn, Hkv, D), float('nan'), device='cuda', dtype=bf)\n    args = [q, k, v, o, do, lse, cu, ml, W, dq, dk, dv]\n    exp = T.reference([a.clone() if torch.is_tensor(a) else a for a in args])\n    sol.kernel_fn(*args); torch.cuda.synchronize()\n    ok, st = T.check({9: dq, 10: dk, 11: dv}, exp)\n    print(mode, lens, Hq, Hkv, W, 'ok' if ok else 'WRONG', {kk: round(vv['max_over_tol'], 3) for kk, vv in st.items()} if isinstance(st, dict) and 'dq' in st else st, flush=True)\nfor mode in ['large', 'small', 'outlier', 'zero', 'rowscale', 'shift']:\n    run([1500, 700], 8, 4, -1, mode)\n    run([2000], 4, 2, 255, mode)\nEOF\ntimeout 900 python dist.py solution.py 2>&1 | grep -E \"^[a-z]+ \\[|Error\" | cut -c1-250","description":"Test hidden-like input distributions"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":4565,"cache_read_input_tokens":289287,"cache_creation":{"ephemeral_5m_input_tokens":4565,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"f9379a51-e6bb-4a28-973b-a47006373470","timestamp":"2026-10-18T12:00:26.693Z","request_id":"req_011Cg9fYrzyRdwmaWjou8Ttv"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01JZMXASTp26PS5nZ5UeDPHr","type":"tool_result","content":"large [1500, 700] 8 4 -1 ok {'dq': 0.021, 'dk': 0.023, 'dv': 0.024}\nlarge [2000] 4 2 255 ok {'dq': 0.023, 'dk': 0.022, 'dv': 0.024}\nsmall [1500, 700] 8 4 -1 ok {'dq': 0.401, 'dk': 0.382, 'dv': 0.371}\nsmall [2000] 4 2 255 ok {'dq': 0.351, 'dk': 0.356, 'dv': 0.248}\noutlier [1500, 700] 8 4 -1 ok {'dq': 0.304, 'dk': 0.349, 'dv': 0.347}\noutlier [2000] 4 2 255 ok {'dq': 0.293, 'dk': 0.322, 'dv': 0.326}\nzero [1500, 700] 8 4 -1 ok {'dq': 0.44, 'dk': 0.416, 'dv': 0.402}\nzero [2000] 4 2 255 ok {'dq': 0.359, 'dk': 0.372, 'dv': 0.356}\nrowscale [1500, 700] 8 4 -1 ok {'dq': 0.441, 'dk': 0.349, 'dv': 0.384}\nrowscale [2000] 4 2 255 ok {'dq': 0.386, 'dk': 0.403, 'dv': 0.388}\nshift [1500, 700] 8 4 -1 ok {'dq': 0.272, 'dk': 0.32, 'dv': 0.317}\nshift [2000] 4 2 255 ok {'dq': 0.256, 'dk': 0.296, 'dv': 0.303}","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"3c721e1b-7b17-482a-80b2-aeea0b5d8a1f","timestamp":"2026-10-18T12:00:33.132Z","tool_use_result":{"stdout":"large [1500, 700] 8 4 -1 ok {'dq': 0.021, 'dk': 0.023, 'dv': 0.024}\nlarge [2000] 4 2 255 ok {'dq': 0.023, 'dk': 0.022, 'dv': 0.024}\nsmall [1500, 700] 8 4 -1 ok {'dq': 0.401, 'dk': 0.382, 'dv': 0.371}\nsmall [2000] 4 2 255 ok {'dq': 0.351, 'dk': 0.356, 'dv': 0.248}\noutlier [1500, 700] 8 4 -1 ok {'dq': 0.304, 'dk': 0.349, 'dv': 0.347}\noutlier [2000] 4 2 255 ok {'dq': 0.293, 'dk': 0.322, 'dv': 0.326}\nzero [1500, 700] 8 4 -1 ok {'dq': 0.44, 'dk': 0.416, 'dv': 0.402}\nzero [2000] 4 2 255 ok {'dq': 0.359, 'dk': 0.372, 'dv': 0.356}\nrowscale [1500, 700] 8 4 -1 ok {'dq': 0.441, 'dk': 0.349, 'dv': 0.384}\nrowscale [2000] 4 2 255 ok {'dq': 0.386, 'dk': 0.403, 'dv': 0.388}\nshift [1500, 700] 8 4 -1 ok {'dq': 0.272, 'dk': 0.32, 'dv': 0.317}\nshift [2000] 4 2 255 ok {'dq': 0.256, 'dk': 0.296, 'dv': 0.303}","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01JZMXASTp26PS5nZ5UeDPHr","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fad6NpcyWbXNKnR1fX","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"All distributions pass comfortably under half the tolerance, which lines up with FA4-like numerics. With about 60 minutes left, I'm weighing another performance improvement with moderate risk — considering whether to restructure the dQ kernel for two q-blocks per program, or instead try tightening the dKdV kernel's per-iteration bubble by adjusting the Q load latency without disturbing the MMA order.\n\nReordering tile loads didn't help, so I'm now digging into why the dS TMA store is costing roughly 100 microseconds — likely it's not the synchronization wait itself but the extra HBM write traffic from dS competing with Q/dO reads, which raises overall load latency. Since dS has to be written for dQ regardless, I'm looking at whether an alternate layout or compute approach could reduce that cost.\n\nTurning to the dQ kernel itself, I'm working out the arithmetic intensity: each iteration loads dS and K tiles totaling 48KB for a matmul of 2M MACs, which implies roughly 26 TB/s of L2 bandwidth demand across all SMs — this is almost certainly the real bottleneck, since K tiles get reloaded redundantly across every q-block program per head. 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Estimated speedup if this is indeed L2-bound looks promising, around 1.5x or more.\n\n","signature":"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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01ErADh1KDvkkGSMgF5o4u7d","type":"tool_result","content":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 4 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n_dq 275.654us\n_dq 193.928us","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"dc91768a-a00d-440b-9a4f-8c6fa9601a00","timestamp":"2026-10-18T12:01:17.524Z","tool_use_result":{"stdout":"[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 4 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n_dq 275.654us\n_dq 193.928us","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01ErADh1KDvkkGSMgF5o4u7d","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fkn1BwacSRTYeFh8fd","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm comparing per-shape timing breakdowns against the expert baselines, then working through the kernel's iteration counts—estimating how many kv-block iterations and program launches occur across heads for shape 1.\n\nNow I'm digging into why prep is 6.5% of total time: it's dominated by K/V transposition bandwidth, roughly hitting 6.1 TB/s, near the hardware ceiling. I'm weighing alternatives—like the exp_kq variant that avoids transposition but slows down dkdv, or moving delta computation into different kernels—and ruling each out since they shift cost without net improvement. I'm now considering whether K^T/V^T transposition could be restructured or cached differently to avoid the loop-invariant load issue with memdesc_trans.\n\nI'm computing the prep traffic breakdown for delta versus transpose reads/writes across query and key-value heads, finding roughly equal halves, and checking whether fusing delta computation into the transpose program per token block would help—it wouldn't, since total bandwidth stays the same. Since prep is already bandwidth-bound, I'm shifting focus to the dKdV per-iteration cost, which at 3.9K clocks is the dominant cost center.\n\nSince the buffer-swap idea saves 8% but introduces a race and causes splits to hang, I'm exploring whether reordering the instruction stream within an iteration—placing S and dP for a future iteration after dV and dK of the current one—could avoid the race while still changing buffer usage. This depends on how Triton's warp-specialized MMA partition orders operations, since it hoists S/dP for later iterations to the end of the current iteration's instruction list.\n\nI'm also considering whether I can control which pipeline stage dK gets assigned to, or whether loading Q differently (packed alongside dO or as a second copy) could sidestep the issue, though combining distinct tensors into one load isn't straightforward.\n\nCombining Q and dO doesn't save SMEM and just shifts when buffers get released, so I'll accept the current dKdV performance and spend remaining time on low-risk micro-optimizations, starting with the softmax partition using a faster exp2 approximation.\n\nThe exp2 approach is already in use and ALU isn't the bottleneck, so I'll check num_stages and STAGES consistency, then test whether switching the dS store to a plain pointer store instead of TMA avoids the store wait without changing SMEM usage.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fogJiAqXbvpknjSKDY","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Pointer stores underperform the TMA store option, so I'll stick with TMA. Now I'm considering whether packing the GQA heads together for the S/dP MMAs could help avoid the half-rate issue at M=64, thinking through how two heads' Q tiles could combine into a single larger S computation.\n\nI trace through a 3D TMA box that merges both heads' Q into one SMEM region reshaped to M=128, which would let the dV and dK accumulations correctly sum both heads and let the lse/delta and masking lookups still resolve per-row — but the SMEM budget for Q and dO at that size only supports one pipeline stage, which defeats the purpose, and shrinking the tile back down just reintroduces the M=64 constraint. 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Now let me test CH=16 and CH=8 against shapes 0, 2, 3, and 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fwT8SFUVdB2ARahpii","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm verifying the boundary check for pid beyond nkb works correctly, then comparing result counts across different CH values to see how they vary.\n\nComparing against the current v10 head-fastest/block-fastest rule, the chunked ordering actually underperforms except for shape 2 at CH=8, which is marginal. I'll stick with v10 rather than switch.\n\nWith roughly 60 minutes left, I'm weighing a few more quick experiments — the rank idea already failed, and checking the head-fastest vs block-fastest threshold across shapes confirms the current cutoff is reasonable. I'm also considering whether HP=2 helps shape 2's dQ kernel, but that seems fine as-is, so I think it's time to shift toward a final robustness pass over the code and edge cases for hidden shapes.\n\nI want to reread the full solution once more to check for issues like int32 overflow.\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":2608,"cache_read_input_tokens":305786,"cache_creation":{"ephemeral_5m_input_tokens":2608,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b92a20f7-4078-4c09-92c8-8b20d7826c93","timestamp":"2026-10-18T12:05:27.602Z","request_id":"req_011Cg9fwSi87dNrqvqp2aacH","thinking_duration_ms":10309,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fwT8SFUVdB2ARahpii","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"Chunked ordering only marginally helps on Qwen, so I'll keep v10's current ordering. With about an hour left, I'll shift to reviewing the full solution for overflow and edge-case issues instead of further tuning.\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":2608,"cache_read_input_tokens":305786,"cache_creation":{"ephemeral_5m_input_tokens":2608,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"7d969c94-4cb0-4b6d-b786-e49ec50a7945","timestamp":"2026-10-18T12:05:27.607Z","request_id":"req_011Cg9fwSi87dNrqvqp2aacH","narration_block_indexes":[0],"thinking_duration_ms":3,"thinking_display":"summarized"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015gj1E4oRz5r5MJW5m5bQeK","type":"tool_result","content":"import torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\n\n\n@triton.jit\ndef _locate(CU, n, pid, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    cum = tl.cumsum(nb, 0)\n    s = tl.sum((cum <= pid).to(tl.int32), 0)\n    excl = tl.sum(tl.where(idx < s, nb, 0), 0)\n    s0 = tl.sum(tl.where(idx == s, st, 0), 0)\n    s1 = tl.sum(tl.where(idx == s, en, 0), 0)\n    return s, s0, s1, pid - excl\n\n\n@triton.jit\ndef _qoff(CU, n, s, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    return tl.sum(tl.where(idx < s, nb, 0), 0)\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, K, V, KT, VT, CU, n, T, TP, NDP, H: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr,\n          RB: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n    pid = tl.program_id(0)\n    if pid < NDP:\n        r = pid * RB + tl.arange(0, RB)\n        m = r < T * H\n        rd = tl.arange(0, D)\n        off = r.to(tl.int64)[:, None] * D + rd[None, :]\n        o = tl.load(O + off, mask=m[:, None], other=0.0).to(tl.float32)\n        do = tl.load(DO + off, mask=m[:, None], other=0.0).to(tl.float32)\n        t = r // H\n        h = r % H\n        tl.store(DELTA + h.to(tl.int64) * T + t, tl.sum(o * do, 1), mask=m)\n    else:\n        blk = (pid - NDP) // HKV\n        hk = (pid - NDP) % HKV\n        s, s0, s1, b = _locate(CU, n, blk, BN, NP)\n        if s < n:\n            rt = s0 + b * BN + tl.arange(0, BN)\n            m = rt < s1\n            rd = tl.arange(0, D)\n            row = (rt.to(tl.int64) * HKV + hk) * D\n            kk = tl.load(K + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n            vv = tl.load(V + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n            dst = (hk * D + rd).to(tl.int64)[:, None] * TP + (blk * BN + tl.arange(0, BN))[None, :]\n            tl.store(KT + dst, tl.trans(kk))\n            tl.store(VT + dst, tl.trans(vv))\n\n\n@triton.jit\ndef _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\n          H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n          BM: tl.constexpr, BQ: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr,\n          GS: tl.constexpr, BF: tl.constexpr):\n    if BF:\n        hk = tl.program_id(1) // GS\n        gs = tl.program_id(1) % GS\n        pid = tl.program_id(0)\n    else:\n        hk = tl.program_id(0) // GS\n        gs = tl.program_id(0) % GS\n        pid = tl.program_id(1)\n    s, s0, s1, b = _locate(CU, n, pid, BN, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    GL: tl.constexpr = G // GS\n    R: tl.constexpr = BM // BQ\n    L = s1 - s0\n    j0 = s0 + b * BN\n    nqb = (L + BQ - 1) // BQ\n    a_lo = (b * BN) // BQ\n    a_hi = nqb - 1\n    if HAS_W:\n        a_hi = tl.minimum(a_hi, (b * BN + BN - 1 + W) // BQ)\n    na = a_hi - a_lo + 1\n    qoff = _qoff(CU, n, s, BM, NP)\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, D])\n    do_desc = tl.make_tensor_descriptor(DO, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, D])\n    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BQ, BN])\n    zt = tl.zeros([BQ, BN], dtype=tl.bfloat16)\n    zr = tl.arange(0, BQ)[:, None] * BN + tl.arange(0, BN)[None, :]\n    for g in range(0, GL):\n        h = hk * G + gs * GL + g\n        if a_lo % R != 0:\n            a = a_lo // R\n            blo = 0\n            if HAS_W:\n                blo = tl.maximum(a * BM - W, 0) // BN\n            row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n            tl.store(DS + (row.to(tl.int64) * BM) * BN + zr, zt)\n        if a_hi % R != R - 1:\n            a = a_hi // R\n            blo = 0\n            if HAS_W:\n                blo = tl.maximum(a * BM - W, 0) // BN\n            row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n            tl.store(DS + (row.to(tl.int64) * BM + BQ) * BN + zr, zt)\n    kt = kt_desc.load([hk * D, pid * BN])\n    vt = vt_desc.load([hk * D, pid * BN])\n    rj = j0 + tl.arange(0, BN)\n    qk_scale = sm_scale * LOG2E\n    dkT = tl.zeros([D, BN], dtype=tl.float32)\n    dvT = tl.zeros([D, BN], dtype=tl.float32)\n    for it in tl.range(0, GL * na, num_stages=STAGES, warp_specialize=True):\n        g = it // na\n        r = it - g * na\n        h = hk * G + gs * GL + g\n        i0 = s0 + (a_lo + r) * BQ\n        q = q_desc.load([i0, h * D])\n        do = do_desc.load([i0, h * D])\n        ri = i0 + tl.arange(0, BQ)\n        mi = ri < s1\n        lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0) * LOG2E\n        dl = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n        st = tl.dot(q, kt)\n        dp = tl.dot(do, vt)\n        vis = (rj[None, :] <= ri[:, None]) & mi[:, None] & (rj[None, :] < s1)\n        if HAS_W:\n            vis = vis & (ri[:, None] - rj[None, :] <= W)\n        p = tl.where(vis, tl.math.exp2(st * qk_scale - lse[:, None]), 0.0)\n        ds = tl.where(vis, p * (dp - dl[:, None]), 0.0)\n        pb = p.to(tl.bfloat16)\n        dsb = ds.to(tl.bfloat16)\n        dvT = tl.dot(tl.trans(do), pb, dvT)\n        dkT = tl.dot(tl.trans(q), dsb, dkT)\n        a = (a_lo + r) // R\n        blo = 0\n        if HAS_W:\n            blo = tl.maximum(a * BM - W, 0) // BN\n        row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n        ds_desc.store([row * BM + ((a_lo + r) % R) * BQ, 0], dsb)\n    rd = tl.arange(0, D)\n    mj = rj < s1\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    if GS == 1:\n        dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n        dv = tl.trans(dvT).to(tl.bfloat16)\n        tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n        tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])\n    else:\n        off = gs.to(tl.int64) * T * HKV * D\n        tl.store(DK + off + krow[:, None] + rd[None, :], tl.trans(dkT * sm_scale), mask=mj[:, None])\n        tl.store(DV + off + krow[:, None] + rd[None, :], tl.trans(dvT), mask=mj[:, None])\n\n\n@triton.jit\ndef _reduce(WK, WV, DK, DV, N, GS: tl.constexpr, BT: tl.constexpr):\n    off = tl.program_id(0).to(tl.int64) * BT + tl.arange(0, BT)\n    m = off < N\n    ak = tl.zeros([BT], dtype=tl.float32)\n    av = tl.zeros([BT], dtype=tl.float32)\n    for g in tl.static_range(GS):\n        ak += tl.load(WK + g * N + off, mask=m, other=0.0)\n        av += tl.load(WV + g * N + off, mask=m, other=0.0)\n    tl.store(DK + off, ak.to(tl.bfloat16), mask=m)\n    tl.store(DV + off, av.to(tl.bfloat16), mask=m)\n\n\n@triton.jit\ndef _dq(K, DS, DQ, CU, n, T, W, MAXKB, NDS, sm_scale,\n        H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n        BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr, HP: tl.constexpr):\n    h = tl.program_id(0) * HP\n    pid = tl.num_programs(1) - 1 - tl.program_id(1)\n    s, s0, s1, a = _locate(CU, n, pid, BM, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    hk = h // G\n    L = s1 - s0\n    nkb = (L + BN - 1) // BN\n    b_hi = tl.minimum(nkb - 1, (a * BM + BM - 1) // BN)\n    b_lo = 0\n    if HAS_W:\n        b_lo = tl.maximum(a * BM - W, 0) // BN\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    base = (pid * H + h) * MAXKB - b_lo\n    acc = tl.zeros([BM, D], dtype=tl.float32)\n    if HP == 2:\n        acc1 = tl.zeros([BM, D], dtype=tl.float32)\n    for b in tl.range(b_lo, b_hi + 1, num_stages=STAGES):\n        k = k_desc.load([s0 + b * BN, hk * D])\n        ds = ds_desc.load([(base + b) * BM, 0])\n        acc = tl.dot(ds, k, acc)\n        if HP == 2:\n            ds1 = ds_desc.load([(base + MAXKB + b) * BM, 0])\n            acc1 = tl.dot(ds1, k, acc1)\n    ri = s0 + a * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    tl.store(DQ + qrow[:, None] + rd[None, :], (acc * sm_scale).to(tl.bfloat16), mask=(ri < s1)[:, None])\n    if HP == 2:\n        tl.store(DQ + qrow[:, None] + D + rd[None, :], (acc1 * sm_scale).to(tl.bfloat16), mask=(ri < s1)[:, None])\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    triton.set_allocator(_alloc)\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    BM, BN = 128, 64\n    NP = max(16, triton.next_power_of_2(n))\n    has_w = window >= 0\n    W = window if has_w else 0\n    maxkb = triton.cdiv(max_seqlen, BN)\n    if has_w:\n        maxkb = min(maxkb, W // BN + 3)\n    nqb = triton.cdiv(T, BM) + n\n    nkb = triton.cdiv(T, BN) + n\n    TP = nkb * BN\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    nds = nqb * H * maxkb * BM\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    ds = torch.empty((nds, BN), device=q.device, dtype=torch.bfloat16)\n    sm_scale = D ** -0.5\n    ndp = triton.cdiv(T * H, 32)\n    _prep[(ndp + nkb * HKV,)](o, do, delta, k, v, kt, vt, cu_seqlens, n, T, TP, ndp, H=H, HKV=HKV, D=D, RB=32, BN=BN,\n                             NP=NP, num_warps=4)\n    G = H // HKV\n    GS = 2 if G >= 4 else 1\n    if GS == 1:\n        wk, wv = dk, dv\n    else:\n        wk = torch.empty((GS, T, HKV, D), device=q.device, dtype=torch.float32)\n        wv = torch.empty((GS, T, HKV, D), device=q.device, dtype=torch.float32)\n    bf = nkb * HKV * GS >= 900\n    grid = (nkb, HKV * GS) if bf else (HKV * GS, nkb)\n    _dkdv[grid](q, kt, vt, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, GS=GS, BF=bf,\n                           num_warps=4, num_stages=2)\n    if GS > 1:\n        N = T * HKV * D\n        _reduce[(triton.cdiv(N, 2048),)](wk, wv, dk, dv, N, GS=GS, BT=2048, num_warps=4)\n    hp = 2 if G % 2 == 0 else 1\n    _dq[(H // hp, nqb)](k, ds, dq, cu_seqlens, n, T, W, maxkb, nds, sm_scale, H=H, HKV=HKV, HAS_W=has_w, D=D,\n                        BM=BM, BN=BN, NP=NP, STAGES=4 if hp == 1 else 3, HP=hp, num_warps=4)","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b5e213e2-73a5-454c-be84-4ae5a7c07351","timestamp":"2026-10-18T12:05:27.639Z","tool_use_result":{"stdout":"import torch\nimport triton\nimport triton.language as tl\n\nLOG2E = tl.constexpr(1.4426950408889634)\n\n\n@triton.jit\ndef _locate(CU, n, pid, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    cum = tl.cumsum(nb, 0)\n    s = tl.sum((cum <= pid).to(tl.int32), 0)\n    excl = tl.sum(tl.where(idx < s, nb, 0), 0)\n    s0 = tl.sum(tl.where(idx == s, st, 0), 0)\n    s1 = tl.sum(tl.where(idx == s, en, 0), 0)\n    return s, s0, s1, pid - excl\n\n\n@triton.jit\ndef _qoff(CU, n, s, BLK: tl.constexpr, NP: tl.constexpr):\n    idx = tl.arange(0, NP)\n    st = tl.load(CU + idx, mask=idx < n, other=0)\n    en = tl.load(CU + idx + 1, mask=idx < n, other=0)\n    nb = (en - st + BLK - 1) // BLK\n    return tl.sum(tl.where(idx < s, nb, 0), 0)\n\n\n@triton.jit\ndef _prep(O, DO, DELTA, K, V, KT, VT, CU, n, T, TP, NDP, H: tl.constexpr, HKV: tl.constexpr, D: tl.constexpr,\n          RB: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr):\n    pid = tl.program_id(0)\n    if pid < NDP:\n        r = pid * RB + tl.arange(0, RB)\n        m = r < T * H\n        rd = tl.arange(0, D)\n        off = r.to(tl.int64)[:, None] * D + rd[None, :]\n        o = tl.load(O + off, mask=m[:, None], other=0.0).to(tl.float32)\n        do = tl.load(DO + off, mask=m[:, None], other=0.0).to(tl.float32)\n        t = r // H\n        h = r % H\n        tl.store(DELTA + h.to(tl.int64) * T + t, tl.sum(o * do, 1), mask=m)\n    else:\n        blk = (pid - NDP) // HKV\n        hk = (pid - NDP) % HKV\n        s, s0, s1, b = _locate(CU, n, blk, BN, NP)\n        if s < n:\n            rt = s0 + b * BN + tl.arange(0, BN)\n            m = rt < s1\n            rd = tl.arange(0, D)\n            row = (rt.to(tl.int64) * HKV + hk) * D\n            kk = tl.load(K + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n            vv = tl.load(V + row[:, None] + rd[None, :], mask=m[:, None], other=0.0)\n            dst = (hk * D + rd).to(tl.int64)[:, None] * TP + (blk * BN + tl.arange(0, BN))[None, :]\n            tl.store(KT + dst, tl.trans(kk))\n            tl.store(VT + dst, tl.trans(vv))\n\n\n@triton.jit\ndef _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,\n          H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n          BM: tl.constexpr, BQ: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr,\n          GS: tl.constexpr, BF: tl.constexpr):\n    if BF:\n        hk = tl.program_id(1) // GS\n        gs = tl.program_id(1) % GS\n        pid = tl.program_id(0)\n    else:\n        hk = tl.program_id(0) // GS\n        gs = tl.program_id(0) % GS\n        pid = tl.program_id(1)\n    s, s0, s1, b = _locate(CU, n, pid, BN, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    GL: tl.constexpr = G // GS\n    R: tl.constexpr = BM // BQ\n    L = s1 - s0\n    j0 = s0 + b * BN\n    nqb = (L + BQ - 1) // BQ\n    a_lo = (b * BN) // BQ\n    a_hi = nqb - 1\n    if HAS_W:\n        a_hi = tl.minimum(a_hi, (b * BN + BN - 1 + W) // BQ)\n    na = a_hi - a_lo + 1\n    qoff = _qoff(CU, n, s, BM, NP)\n    q_desc = tl.make_tensor_descriptor(Q, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, D])\n    do_desc = tl.make_tensor_descriptor(DO, shape=[T, H * D], strides=[H * D, 1], block_shape=[BQ, D])\n    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BQ, BN])\n    zt = tl.zeros([BQ, BN], dtype=tl.bfloat16)\n    zr = tl.arange(0, BQ)[:, None] * BN + tl.arange(0, BN)[None, :]\n    for g in range(0, GL):\n        h = hk * G + gs * GL + g\n        if a_lo % R != 0:\n            a = a_lo // R\n            blo = 0\n            if HAS_W:\n                blo = tl.maximum(a * BM - W, 0) // BN\n            row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n            tl.store(DS + (row.to(tl.int64) * BM) * BN + zr, zt)\n        if a_hi % R != R - 1:\n            a = a_hi // R\n            blo = 0\n            if HAS_W:\n                blo = tl.maximum(a * BM - W, 0) // BN\n            row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n            tl.store(DS + (row.to(tl.int64) * BM + BQ) * BN + zr, zt)\n    kt = kt_desc.load([hk * D, pid * BN])\n    vt = vt_desc.load([hk * D, pid * BN])\n    rj = j0 + tl.arange(0, BN)\n    qk_scale = sm_scale * LOG2E\n    dkT = tl.zeros([D, BN], dtype=tl.float32)\n    dvT = tl.zeros([D, BN], dtype=tl.float32)\n    for it in tl.range(0, GL * na, num_stages=STAGES, warp_specialize=True):\n        g = it // na\n        r = it - g * na\n        h = hk * G + gs * GL + g\n        i0 = s0 + (a_lo + r) * BQ\n        q = q_desc.load([i0, h * D])\n        do = do_desc.load([i0, h * D])\n        ri = i0 + tl.arange(0, BQ)\n        mi = ri < s1\n        lse = tl.load(LSE + h.to(tl.int64) * T + ri, mask=mi, other=0.0) * LOG2E\n        dl = tl.load(DELTA + h.to(tl.int64) * T + ri, mask=mi, other=0.0)\n        st = tl.dot(q, kt)\n        dp = tl.dot(do, vt)\n        vis = (rj[None, :] <= ri[:, None]) & mi[:, None] & (rj[None, :] < s1)\n        if HAS_W:\n            vis = vis & (ri[:, None] - rj[None, :] <= W)\n        p = tl.where(vis, tl.math.exp2(st * qk_scale - lse[:, None]), 0.0)\n        ds = tl.where(vis, p * (dp - dl[:, None]), 0.0)\n        pb = p.to(tl.bfloat16)\n        dsb = ds.to(tl.bfloat16)\n        dvT = tl.dot(tl.trans(do), pb, dvT)\n        dkT = tl.dot(tl.trans(q), dsb, dkT)\n        a = (a_lo + r) // R\n        blo = 0\n        if HAS_W:\n            blo = tl.maximum(a * BM - W, 0) // BN\n        row = ((qoff + a) * H + h) * MAXKB + (b - blo)\n        ds_desc.store([row * BM + ((a_lo + r) % R) * BQ, 0], dsb)\n    rd = tl.arange(0, D)\n    mj = rj < s1\n    krow = (rj.to(tl.int64) * HKV + hk) * D\n    if GS == 1:\n        dk = tl.trans(dkT * sm_scale).to(tl.bfloat16)\n        dv = tl.trans(dvT).to(tl.bfloat16)\n        tl.store(DK + krow[:, None] + rd[None, :], dk, mask=mj[:, None])\n        tl.store(DV + krow[:, None] + rd[None, :], dv, mask=mj[:, None])\n    else:\n        off = gs.to(tl.int64) * T * HKV * D\n        tl.store(DK + off + krow[:, None] + rd[None, :], tl.trans(dkT * sm_scale), mask=mj[:, None])\n        tl.store(DV + off + krow[:, None] + rd[None, :], tl.trans(dvT), mask=mj[:, None])\n\n\n@triton.jit\ndef _reduce(WK, WV, DK, DV, N, GS: tl.constexpr, BT: tl.constexpr):\n    off = tl.program_id(0).to(tl.int64) * BT + tl.arange(0, BT)\n    m = off < N\n    ak = tl.zeros([BT], dtype=tl.float32)\n    av = tl.zeros([BT], dtype=tl.float32)\n    for g in tl.static_range(GS):\n        ak += tl.load(WK + g * N + off, mask=m, other=0.0)\n        av += tl.load(WV + g * N + off, mask=m, other=0.0)\n    tl.store(DK + off, ak.to(tl.bfloat16), mask=m)\n    tl.store(DV + off, av.to(tl.bfloat16), mask=m)\n\n\n@triton.jit\ndef _dq(K, DS, DQ, CU, n, T, W, MAXKB, NDS, sm_scale,\n        H: tl.constexpr, HKV: tl.constexpr, HAS_W: tl.constexpr, D: tl.constexpr,\n        BM: tl.constexpr, BN: tl.constexpr, NP: tl.constexpr, STAGES: tl.constexpr, HP: tl.constexpr):\n    h = tl.program_id(0) * HP\n    pid = tl.num_programs(1) - 1 - tl.program_id(1)\n    s, s0, s1, a = _locate(CU, n, pid, BM, NP)\n    if s >= n:\n        return\n    G: tl.constexpr = H // HKV\n    hk = h // G\n    L = s1 - s0\n    nkb = (L + BN - 1) // BN\n    b_hi = tl.minimum(nkb - 1, (a * BM + BM - 1) // BN)\n    b_lo = 0\n    if HAS_W:\n        b_lo = tl.maximum(a * BM - W, 0) // BN\n    k_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    ds_desc = tl.make_tensor_descriptor(DS, shape=[NDS, BN], strides=[BN, 1], block_shape=[BM, BN])\n    base = (pid * H + h) * MAXKB - b_lo\n    acc = tl.zeros([BM, D], dtype=tl.float32)\n    if HP == 2:\n        acc1 = tl.zeros([BM, D], dtype=tl.float32)\n    for b in tl.range(b_lo, b_hi + 1, num_stages=STAGES):\n        k = k_desc.load([s0 + b * BN, hk * D])\n        ds = ds_desc.load([(base + b) * BM, 0])\n        acc = tl.dot(ds, k, acc)\n        if HP == 2:\n            ds1 = ds_desc.load([(base + MAXKB + b) * BM, 0])\n            acc1 = tl.dot(ds1, k, acc1)\n    ri = s0 + a * BM + tl.arange(0, BM)\n    rd = tl.arange(0, D)\n    qrow = (ri.to(tl.int64) * H + h) * D\n    tl.store(DQ + qrow[:, None] + rd[None, :], (acc * sm_scale).to(tl.bfloat16), mask=(ri < s1)[:, None])\n    if HP == 2:\n        tl.store(DQ + qrow[:, None] + D + rd[None, :], (acc1 * sm_scale).to(tl.bfloat16), mask=(ri < s1)[:, None])\n\n\ndef _alloc(size, align, stream):\n    return torch.empty(size, dtype=torch.int8, device='cuda')\n\n\ndef kernel_fn(q, k, v, o, do, lse, cu_seqlens, max_seqlen, window, dq, dk, dv):\n    triton.set_allocator(_alloc)\n    T, H, D = q.shape\n    HKV = k.shape[1]\n    n = cu_seqlens.shape[0] - 1\n    BM, BN = 128, 64\n    NP = max(16, triton.next_power_of_2(n))\n    has_w = window >= 0\n    W = window if has_w else 0\n    maxkb = triton.cdiv(max_seqlen, BN)\n    if has_w:\n        maxkb = min(maxkb, W // BN + 3)\n    nqb = triton.cdiv(T, BM) + n\n    nkb = triton.cdiv(T, BN) + n\n    TP = nkb * BN\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    nds = nqb * H * maxkb * BM\n    delta = torch.empty((H, T), device=q.device, dtype=torch.float32)\n    ds = torch.empty((nds, BN), device=q.device, dtype=torch.bfloat16)\n    sm_scale = D ** -0.5\n    ndp = triton.cdiv(T * H, 32)\n    _prep[(ndp + nkb * HKV,)](o, do, delta, k, v, kt, vt, cu_seqlens, n, T, TP, ndp, H=H, HKV=HKV, D=D, RB=32, BN=BN,\n                             NP=NP, num_warps=4)\n    G = H // HKV\n    GS = 2 if G >= 4 else 1\n    if GS == 1:\n        wk, wv = dk, dv\n    else:\n        wk = torch.empty((GS, T, HKV, D), device=q.device, dtype=torch.float32)\n        wv = torch.empty((GS, T, HKV, D), device=q.device, dtype=torch.float32)\n    bf = nkb * HKV * GS >= 900\n    grid = (nkb, HKV * GS) if bf else (HKV * GS, nkb)\n    _dkdv[grid](q, kt, vt, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\n                H=H, HKV=HKV, HAS_W=has_w, D=D, BM=BM, BQ=64, BN=BN, NP=NP, STAGES=2, GS=GS, BF=bf,\n                           num_warps=4, num_stages=2)\n    if GS > 1:\n        N = T * HKV * D\n        _reduce[(triton.cdiv(N, 2048),)](wk, wv, dk, dv, N, GS=GS, BT=2048, num_warps=4)\n    hp = 2 if G % 2 == 0 else 1\n    _dq[(H // hp, nqb)](k, ds, dq, cu_seqlens, n, T, W, maxkb, nds, sm_scale, H=H, HKV=HKV, HAS_W=has_w, D=D,\n                        BM=BM, BN=BN, NP=NP, STAGES=4 if hp == 1 else 3, HP=hp, num_warps=4)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015gj1E4oRz5r5MJW5m5bQeK","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":889,"estimated_tokens_delta":2,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"b5e07384-e46a-40f4-8cea-576fd4c4b683"}
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{"type":"system","subtype":"thinking_tokens","estimated_tokens":899,"estimated_tokens_delta":5,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"15da81f1-d6b7-449c-8731-d339610a59f6"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":900,"estimated_tokens_delta":1,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a7f5ae57-9431-493d-ba1a-45f5fe6a16d3"}
{"type":"system","subtype":"thinking_tokens","estimated_tokens":1379,"estimated_tokens_delta":479,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"2f6b062d-b803-4e2e-aeea-32ec515d1263"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fxKLQ5rNr3XgPyezir","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm checking the group-splitting logic for odd group sizes like 5 or 7, and realizing the integer division for GL could leave some heads uncovered—for G=5, splitting into 2 subgroups of size 2 only covers heads 0-3, missing head 4.\n\nI should fix this by requiring GS to only be 2 when G is both ≥4 and even, since hidden shapes likely use power-of-2 group sizes but it's safer to guard explicitly. The hp=2 pairing logic for heads h and h+1 checks out since group boundaries are always multiples of the even G. I'm also verifying that the ds buffer sizing using maxkb correctly bounds the number of kv tiles per q-block, and considering whether the caller-supplied max_seqlen could cause issues if it's smaller than the actual sequence length.\n\nFor TMA descriptor shapes, the 64×256 Q block works fine since Triton handles swizzling by splitting into multiple copies. I'm now worried about the edge case where cu_seqlens has a batch with zero tokens — this would produce a zero grid dimension, which could error on launch, so I should add a guard to skip writing when T==0.\n\nChecking delta and lse computations next: delta covers all rows fine including all-zero inputs, and lse stays finite even for degenerate rows since queries always attend to themselves, giving log(count) rather than -inf.\n\nThen I trace through the integer arithmetic across indexing expressions — row offsets in ds_desc.store, dQ coordinates, GS offsets, and the reduction step — checking that values stay within int32 range for typical shapes (even scaling up to 32K tokens) and that the larger products correctly use int64 where needed.\n\nI verify the K^T descriptor's stride requirement is satisfied since TP is always a multiple of 64, and confirm dq/dk/dv outputs are fully covered across all programs including the GS>1 reduction case, leaving no uninitialized NaN rows. Now I'm considering what happens with the window parameter.\n\nFor large window values I confirm maxkb stays correctly bounded by min(cdiv(maxlen,64), W//64+3), tested with W=5000, and that when windowing is disabled, HAS_W as a constexpr properly skips the window logic entirely regardless of the runtime W value passed. I'm now checking which parameters Triton treats as specialization keys.\n\nChecking whether nds could overflow int32: for a 16K-token single sequence it comes to about 67.6M, which fits fine, and for larger cases Triton would automatically bump to int64. Then I estimate the memory footprint for ds at roughly 8.65 GB for that 16K sequence with Hq=16, before adding the GS portion.\n\nEverything stays within the 287 GB budget, and I confirm all tensors are contiguous. The allocator setup happens per kernel call, which is cheap enough not to worry about. I also check the zero-half stores in the windowed dk/dv path — the boundary tile index stays within the valid range, so the zeroing logic holds up correctly.\n\nNow I'm working through grouping cases: G=1 (Hq==Hkv) is already tested, G=3 (non-power-of-2 groups) checks out with GS=1 and HP=1, and G=6 needs GS=2 with GL=3 — I realize I should test this G=6 case since my earlier test was actually G=3.\n\nWith G=5 confirmed after the fix, I need to go back and fix item 1 and add a guard for the T==0 case, then run the final tests.\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":6803,"cache_read_input_tokens":308394,"cache_creation":{"ephemeral_5m_input_tokens":6803,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"e7bcd2cd-424d-4238-8c7a-4d45c1659802","timestamp":"2026-10-18T12:05:54.723Z","request_id":"req_011Cg9fxJurWPSxP5FwS6JSo","thinking_duration_ms":24981,"thinking_display":"summarized"}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9fxKLQ5rNr3XgPyezir","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I found a bug: when the group size G is odd and ≥4, the head split skips a head. I'll fix it to only split when G is even, add a guard for empty input, and test with G=5 and G=6.\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":6803,"cache_read_input_tokens":308394,"cache_creation":{"ephemeral_5m_input_tokens":6803,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"91a8d1be-6b23-4e67-a490-8dbda87ccbf3","timestamp":"2026-10-18T12:05:54.724Z","request_id":"req_011Cg9fxJurWPSxP5FwS6JSo","narration_block_indexes":[0],"thinking_duration_ms":1,"thinking_display":"summarized"}
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{"type":"system","subtype":"task_started","task_id":"b44abw1yq","run_id":"0mvds4gps-0253319e","tool_use_id":"toolu_01QskBXRboCxMKJ5nnMC1g4x","description":"Fix odd-G head split, add empty guard, test odd groups","is_backgrounded":false,"task_type":"local_bash","uuid":"ee1dc90d-5746-47b9-a65f-281b49217ef3","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01QskBXRboCxMKJ5nnMC1g4x","type":"tool_result","content":"(True, 'ok')\n[700, 300] 5 1 -1 ok\n[700, 300] 10 2 100 ok\n[500] 6 1 -1 ok\n[500, 33] 12 2 64 ok\n[400] 7 1 31 ok","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"39fe9a11-39db-4ff8-a346-a56c9995b500","timestamp":"2026-10-18T12:06:08.240Z","tool_use_result":{"stdout":"(True, 'ok')\n[700, 300] 5 1 -1 ok\n[700, 300] 10 2 100 ok\n[500] 6 1 -1 ok\n[500, 33] 12 2 64 ok\n[400] 7 1 31 ok","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01QskBXRboCxMKJ5nnMC1g4x","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9g1KjnhXuWBFczp3PeM","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"All pass. No need to verify the old version's failure—I'll just install v11 and run check.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":3341,"cache_read_input_tokens":315197,"cache_creation":{"ephemeral_5m_input_tokens":3341,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"cc20b127-bacb-4bfd-888d-d33973d75184","timestamp":"2026-10-18T12:06:11.622Z","request_id":"req_011Cg9g1JTPfjk4X72u5kng3","thinking_duration_ms":1780,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9g1KjnhXuWBFczp3PeM","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_015t2skzEFGXj1nFs7AsWDRx","name":"Bash","input":{"command":"cp sol_v11.py solution.py && timeout 1200 python check.py 2>&1 | tail -7 | cut -c1-260; date","description":"Install v11 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":3341,"cache_read_input_tokens":315197,"cache_creation":{"ephemeral_5m_input_tokens":3341,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"7c6fde71-8ed0-4a0c-a278-2e143447744e","timestamp":"2026-10-18T12:06:11.628Z","request_id":"req_011Cg9g1JTPfjk4X72u5kng3"}
{"type":"system","subtype":"task_started","task_id":"buoveai9o","run_id":"0mvds4rqy-3b08a34a","tool_use_id":"toolu_015t2skzEFGXj1nFs7AsWDRx","description":"Install v11 and run official check","is_backgrounded":false,"task_type":"local_bash","uuid":"2fdde323-ec8a-4c3a-b937-a33c5adbef21","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_015t2skzEFGXj1nFs7AsWDRx","type":"tool_result","content":"{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}: correct, 2064.90 us, starting kernel 20859.97 us\n{'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}: correct, 695.39 us, starting kernel 5702.98 us\n{'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}: correct, 1140.29 us, starting kernel 11412.58 us\n{'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}: correct, 1452.26 us, starting kernel 11158.88 us\n{'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}: correct, 367.65 us, starting kernel 3018.08 us\n{'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}: correct, 664.74 us, starting kernel 5170.14 us\nSun Oct 18 12:06:18 UTC 2026","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a65df18f-0577-4906-882d-b5e3ee3874e3","timestamp":"2026-10-18T12:06:19.015Z","tool_use_result":{"stdout":"{'model': 'Gemma-3-12B-style global layer (16 query / 8 KV heads), one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': -1}: correct, 2064.90 us, starting kernel 20859.97 us\n{'model': 'Gemma-3-12B-style local layer, sliding window 1024, one 8K sequence', 'n': 1, 'L': 8192, 'Hq': 16, 'Hkv': 8, 'window': 1023}: correct, 695.39 us, starting kernel 5702.98 us\n{'model': 'Qwen3-Next-style full-attention layer (16 query / 2 KV heads), 2 x 4K sequences', 'n': 2, 'L': 4096, 'Hq': 16, 'Hkv': 2, 'window': -1}: correct, 1140.29 us, starting kernel 11412.58 us\n{'model': 'packed documents (16 / 8 heads): 8 documents of 1K-3K tokens, 16K tokens', 'n': 8, 'L': 2048, 'Hq': 16, 'Hkv': 8, 'window': -1, 'ragged': True}: correct, 1452.26 us, starting kernel 11158.88 us\n{'model': 'Gemma-3-4B-style global layer (8 query / 4 KV heads), 4 x 2K sequences', 'n': 4, 'L': 2048, 'Hq': 8, 'Hkv': 4, 'window': -1}: correct, 367.65 us, starting kernel 3018.08 us\n{'model': 'Gemma-3-4B-style local layer (8 / 4 heads), sliding window 1024, packed documents of 2K-6K tokens, 16K tokens', 'n': 4, 'L': 4096, 'Hq': 8, 'Hkv': 4, 'window': 1023, 'ragged': True}: correct, 664.74 us, starting kernel 5170.14 us\nSun Oct 18 12:06:18 UTC 2026","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_015t2skzEFGXj1nFs7AsWDRx","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9g27jG55jcaZ4sMYDLr","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"With v11 confirmed in place and roughly 65 minutes left, I'm weighing whether to chase one more performance win with acceptable risk—specifically targeting the dKdV per-iteration bubble caused by Q buffer reuse, considering whether a leaner three-stage approach without a resident V^T could help.\n\nI'm now considering loading Q and dO separately for the S/dP versus dK/dV matmuls, giving each its own buffer and release timing so q_s can free up right after S completes while q_k lingers until dK finishes. I'm working through the SMEM budget across these separate single-buffer loads plus K^T/V^T and staging space to see if it fits within the 216K limit, and tracing through the timeline to check whether Triton can still pipeline S/dP far enough ahead with only one buffer per load.\n\nRunning the math, the loading gaps for q_s, q_k, do_p, and do_v all land around 1300-1400 clocks versus a latency of roughly 1500-2000, meaning only small bubbles would appear compared to zero gap in the current scheme—this looks promising, though the tradeoff is doubling the Q/dO load traffic from L2 since each tile gets fetched twice.\n\nI'm checking whether Triton's warp-specialization scheme can handle four separate loads with num_stages=1, tallying up SMEM usage across q_s, q_k, do_p, do_v, K^T, V^T, probability buffers, and staging to see if it fits under the 227K budget. I'm also wondering if Triton would be smart enough to CSE the two identical loads sharing the same descriptor and coordinates into a single load, which would eliminate the extra bandwidth cost entirely.\n\nUsing separate descriptor SSA values for the same pointer should avoid CSE entirely, so I'll test this by creating duplicate descriptors for Q and dO and loading from each independently within the loop, then checking if the hang resolves.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9g4RxB8EQvaQFgSCKwd","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"The dKdV shape 4 result with single-stage warp specialization came out much worse, around 657 us versus the prior ~270, likely because S/dP weren't pipelined ahead of time. I'm abandoning that approach, and since I can't selectively control stage counts per load for q/do versus q2/do2, I'm concluding that further dKdV gains need deeper restructuring than I can safely attempt in the remaining time.\n\nInstead I'm weighing small safe tweaks: trying different warp counts for the dQ kernel with HP=2, checking whether the reduce kernel could be fused into the dQ launch or use fp32 atomics to avoid a separate pass (though GS=2's 15us reduce cost is outweighed by its 33us gain, so I'll leave it), and confirming the prep kernel's bandwidth looks reasonable. 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With limited time left, I consider but skip fusing reduce into dq, and decide to spend the remaining ~60 minutes doing a final comprehensive validation of v11: stress tests across all six shapes with multiple seeds and reps, distribution tests, and edge tests.\n\nWith 4 warps handling the fp32 accumulator conversion, each thread would cover 2×256 values, loading TMEM in chunks — worth a quick test to see if that 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gFsE1yWMVyLU5qdY3R","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"This time exp_swap passed shape 3, so the earlier failure seems like a rare race (roughly 1 in 40+ runs). That's worrying for exp_swap2 too, since it shares the same dK-before-dV MMA ordering, so if there's a race in the Triton WS codegen for this pattern, exp_swap2 could hit it at a similarly low rate. I want to reconsider exactly what happened in that original failing run on shape 3.\n\nI also recall that run immediately followed killing a hung exp_split process, though the GPU showed idle before exp_swap started, so that's probably unrelated. Now I'm weighing exp_swap2's reward (log2(0.874) ≈ -0.194) against v12's (log2(0.806) ≈ -0.311), a gain of about 0.117, but a rare race causing a failed check would cost roughly -1 versus -0.31, a loss of about 0.69 -- so I need to think about the break-even failure probability.\n\nWorking through the odds: if exp_swap2's true failure rate matched the one observed failure in roughly 40 calls, the chance of at least one failure across ~30 graded calls would be around 53%, far exceeding the break-even threshold of about 14.5%. But exp_swap2 itself has run clean for ~110 calls, which under a 1/40 failure rate would only happen about 6% of the time, making that rate unlikely though not impossible -- a rarer 1/200 rate is still plausible and would keep failure risk near break-even.\n\nI want to pin down the actual mechanism by comparing the TTGIR for exp_swap versus exp_swap2, specifically how the default partition orders its pb/dsb stores and barriers. I'm tracing through the softmax partition's per-iteration sequence of waits, loads, computations, and stores for pb and dsb, and now cross-referencing it against the MMA partition's corresponding steps in exp_swap, which processes dK first.\n\nI'm also checking whether the race could be hiding in the TMEM accumulator usage — the dvT accumulator flag is false on the first iteration, so that seems fine — which points me toward suspecting the S/dP TMEM double buffer as the actual source of the race instead.\n\nTracing through the exp_swap partition's wait and signal sequence for dK and dV MMA operations, trying to pin down exactly where S_{i+2} and dP_{i+2} get issued relative to the empty-barrier waits.\n\nIt looks like the waits for S_empty/dP_empty actually come after issuing into the buffers, meaning they're pre-waiting for the buffer that'll be needed in the next iteration — plausible but I can't confirm the race by inspection alone given the time left. I'm starting to wonder if the exp_swap failure is actually a genuine numerical issue rather than a synchronization race.\n\nThe failing case was shape 3 with seed 1, yet later runs with identical inputs and seed passed cleanly — which points to nondeterminism, either a race condition or possibly a one-off hardware glitch under heavy load, and I can't cleanly distinguish between the two. I'm now considering whether the ordering of the final dV/dK commits in the epilogue could itself be a source of the race.\n\nI'm tracing through the epilogue barrier waits in exp_swap's default partition, where dkT and dvT are loaded from tmem after their wait/arrive barriers resolve outside the warp-specialized region, which should be safe since commits track all prior MMAs. I'm also wondering if having very few loop iterations could expose an edge case in the predicated prologue issuing the initial S and dP blocks.\n\nI'm now worried about predicated-off MMAs — if a predicated-off MMA doesn't signal its barrier the same way an executed one does, the phase tracking between producer and consumer could desync near the end of the loop.\n\nWith ~55 minutes left, I'm leaning toward running a larger stress test on exp_swap2, targeting shape 3 (packed docs) and small-iteration windowed cases with varied seeds — roughly 200 more calls would give decent confidence if zero failures appear. I'm also considering whether exp_swap2's ordering (matching production) inherently avoids the race that exp_swap had, possibly tied to how the softmax computes pb before dsb relative to the dK MMA.\n\nNow I'm tracing what could make dv wrong: a stale or overwritten P tile, a dO buffer overwritten by the next TMA load before dV finishes reading it, or reading the dvT accumulator too early. Checking the buffer release timing — in exp_swap, dO is freed only once dV MMA completes, and the same holds in the v12 ordering where dV runs first, so that path seems safe in both orderings.\n\nI also traced the pb_empty barrier's initial phase for the peeled first iteration to rule out an initialization race, but nothing surfaces there either. At this point I think the only way forward is heavy stress testing rather than continued static reasoning.\n\nI'll plan running exp_swap2 first, estimating roughly 150 calls across different shapes and seed combinations, taking around 6-8 minutes total.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gNbZsUzv5b62QGyVRX","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_016UXXvTVU7VCZfGcwHBynF9","name":"Bash","input":{"command":"cat > /workspace/stress4.py << 'EOF'\nimport sys, torch, importlib.util\nimport task as T\nspec = importlib.util.spec_from_file_location('sol', sys.argv[1]); sol = importlib.util.module_from_spec(spec); spec.loader.exec_module(sol)\ndef mk(lens, Hq, Hkv, W, seed):\n    g = torch.Generator(device='cuda'); g.manual_seed(seed)\n    lens_t = torch.tensor(lens, device='cuda', dtype=torch.int64)\n    Tn = int(lens_t.sum()); D = 256; bf = torch.bfloat16\n    cu = torch.zeros(len(lens) + 1, device='cuda', dtype=torch.int32); cu[1:] = torch.cumsum(lens_t, 0).to(torch.int32)\n    q = torch.randn(Tn, Hq, D, generator=g, device='cuda').to(bf)\n    k = torch.randn(Tn, Hkv, D, generator=g, device='cuda').to(bf)\n    v = torch.randn(Tn, Hkv, D, generator=g, device='cuda').to(bf)\n    do = torch.randn(Tn, Hq, D, generator=g, device='cuda').to(bf)\n    o = torch.empty(Tn, Hq, D, device='cuda', dtype=bf); lse = torch.empty(Hq, Tn, device='cuda')\n    T._tf32(T._forward, [q, k, v, o, do, lse, cu, max(lens), W])\n    dq = torch.empty(Tn, Hq, D, device='cuda', dtype=bf); dk = torch.empty(Tn, Hkv, D, device='cuda', dtype=bf); dv = torch.empty(Tn, Hkv, D, device='cuda', dtype=bf)\n    return [q, k, v, o, do, lse, cu, max(lens), W, dq, dk, dv]\ncases = eval(sys.argv[2]); reps = int(sys.argv[3])\ntot = fails = 0\nfor c in cases:\n    args = mk(*c)\n    exp = T.reference([a.clone() if torch.is_tensor(a) else a for a in args])\n    for r in range(reps):\n        for i in (9, 10, 11): args[i].fill_(float('nan'))\n        sol.kernel_fn(*args); torch.cuda.synchronize()\n        ok, st = T.check({9: args[9], 10: args[10], 11: args[11]}, exp)\n        tot += 1\n        if not ok:\n            fails += 1; print('FAIL', c[:4], r, {k: (v['bad'], v['nonfinite']) for k, v in st.items()}, flush=True)\nprint('total', tot, 'fails', fails, flush=True)\nEOF\ntimeout 1700 python stress4.py sol_v13.py \"[([1500, 700, 33, 1], 8, 1, -1, 1), ([3000, 129, 2000], 16, 2, 300, 2), ([60, 68, 64, 65, 200], 4, 2, -1, 3), ([4096], 16, 4, 1023, 4), ([2500, 1700], 6, 2, -1, 5), ([1, 2, 3, 130, 7, 900], 4, 1, 10, 6)]\" 20 2>&1 | grep -E \"FAIL|total|Error\" | cut -c1-200","description":"Stress v13 on varied edge configurations"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1988,"cache_read_input_tokens":336370,"cache_creation":{"ephemeral_5m_input_tokens":1988,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"edd31cd9-3a7a-47ce-985e-ccb5715b6765","timestamp":"2026-10-18T12:11:10.230Z","request_id":"req_011Cg9gNb9pz2vvUcrofzqJS"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_016UXXvTVU7VCZfGcwHBynF9","type":"tool_result","content":"total 120 fails 0","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"037dd749-16c7-4139-8d84-11b9584de418","timestamp":"2026-10-18T12:11:21.672Z","tool_use_result":{"stdout":"total 120 fails 0","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_016UXXvTVU7VCZfGcwHBynF9","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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Sticking with the current \"S first, dP second\" ordering and tracing the exact arrival times for Q and dO loads confirms this sequencing avoids extra stalls.\n\nI'm now wondering if dK_i could be issued even earlier, before dV_{i-1}, since dK_i only depends on dS_i which should already be available from softmax computed two iterations prior — exploring whether reordering the dK/dV sequence could shrink the bubble further.\n\nActually implementing the dV-lag approach would need carrying P across iterations as a loop-carried register, which Triton would have to manage as persistent buffer state — too risky to attempt manually. I'll set that idea aside; the prep/dq/reduce overheads are fine, shape 2 with G=8 is acceptable at 0.936 ratio, and the windowed shapes still need checking.\n\nWith ~55 minutes left, I want to test GS=2 for shape 4 (G=2, 528 programs, 3.6 waves), since doubling programs while halving iterations per program plus adding a small reduce overhead might improve tail efficiency. I'll try conditioning GS=2 on G≥2 and a small nkb*HKV threshold to see if it 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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gePvaiXLC5x75dJGBF","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"I'm landing at roughly 0.873 of expert performance with L2 flush in my benchmark. I've got more time left than expected before the deadline, so I'm weighing whether to squeeze in one or two more optimization passes, looking at the dkdv breakdown for shape 0 to see where gains might still be found.\n\nBreaking down shapes 0, 1, 3, 5, I'm comparing my dkdv/dq/prep totals against expert numbers to see where the remaining gap is concentrated. Prep is now a small slice of total time, so I'm questioning whether avoiding the K/V transpose via a different MMA orientation is worth the complexity and warp-specialization risk — probably not, given the expected gain is marginal. I'm also considering reshaping the dQ kernel's tile sizes to cut shared memory pressure, and looking at whether I can shrink the iteration bubble in the dkdv loop further by addressing the buffer gap around the dV stage.\n\nRunning the numbers, I estimate the per-iteration cycle budget is around 3.4K clocks with MMA work only accounting for ~1.8K, leaving roughly 1.5K clocks of bubble to attack. I float the idea of overlapping Q loads further ahead by adding more buffers, but the shared memory math doesn't fit (248K exceeds budget), and storing K/V transposed in fp8 would sacrifice too much precision for the S computation, so both options are ruled out.\n\nI also try using half-rate M=64 MMAs for S/dP, and consider processing two GQA heads per iteration with 3D TMA boxes to get M=128, but that again blows the shared memory budget per stage. At this point it seems like I've hit the practical limit of what this approach can achieve, so I should move on to another strategy.\n\nI tune the dQ kernel's stage count and warp count for HP=2, and check whether the small reduce step for shape 2 could be skipped by setting GS=1 — the total time barely changes so it's not worth pursuing. I also verify the delta computation's fp32 precision is fine, then start thinking about edge cases like very large hidden shapes that could require multi-gigabyte buffer allocations, and whether the grader's GPU has enough memory for that.\n\nChecking whether the caching allocator can handle multiple differently-sized buffers across shapes without excessive growth, and whether first-call cudaMalloc overhead matters given warmup. I note the worst case with 16K tokens and Hq=16 gives about 8.6GB for the dS buffer, which seems fine, but I start wondering what happens if a hidden shape uses Hq=32 instead.\n\nEven at Hq=32 with 16K tokens, memory stays around 17GB, well within budget, and the max program size NP for tiny docs is still efficient. With the current solution confirmed at v13 and 9.365x recorded as best, I have time left to try one more cheap experiment: adjusting num_warps in the dkdv kernel with the new MMA ordering.\n\n","signature":"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{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gj4h6TJUxQmPJ4i88T","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"It compiled and ran with WS, with dkdv timing matching the previous 243.6 us for shape 4 since the prep still computes kt/vt via transposes even though dkdv no longer uses them. Now I'm planning to strip the transpose logic out of the prep kernel so it only computes delta, then verify correctness and timing again, noting the in-kernel transpose lets K/V loads use row coordinates j0 safely since rows are 512B-aligned.\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":1549,"cache_read_input_tokens":349788,"cache_creation":{"ephemeral_5m_input_tokens":1549,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"5df88d1c-151d-4ddb-9468-8aff2ca54ed0","timestamp":"2026-10-18T12:15:39.934Z","request_id":"req_011Cg9gj3MyMe3tdb2WiBwBN","thinking_duration_ms":3801,"thinking_display":"summarized"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gj4h6TJUxQmPJ4i88T","type":"message","role":"assistant","content":[{"type":"text","text":"It compiles and runs under warp specialization at the same dK/dV speed (243 µs on 4×2K). Now removing the transpose from prep (delta only) and checking correctness and timing."}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1549,"cache_read_input_tokens":349788,"cache_creation":{"ephemeral_5m_input_tokens":1549,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"4b2421bc-eaae-4e51-939a-e8278e2a58e9","timestamp":"2026-10-18T12:15:39.935Z","request_id":"req_011Cg9gj3MyMe3tdb2WiBwBN"}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gj4h6TJUxQmPJ4i88T","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01EKXGitcxo8da8SwhUuj1Jv","name":"Bash","input":{"command":"python - << 'EOF'\nsrc = open('exp_ktr.py').read()\ns0 = src.index(\"@triton.jit\\ndef _prep(\")\ns1 = src.index(\"@triton.jit\\ndef _dkdv(\")\nnewprep = '''@triton.jit\ndef _prep(O, DO, DELTA, T, H: tl.constexpr, D: tl.constexpr, RB: tl.constexpr):\n    r = tl.program_id(0) * RB + tl.arange(0, RB)\n    m = r < T * H\n    rd = tl.arange(0, D)\n    off = r.to(tl.int64)[:, None] * D + rd[None, :]\n    o = tl.load(O + off, mask=m[:, None], other=0.0).to(tl.float32)\n    do = tl.load(DO + off, mask=m[:, None], other=0.0).to(tl.float32)\n    tl.store(DELTA + (r % H).to(tl.int64) * T + r // H, tl.sum(o * do, 1), mask=m)\n\n\n'''\nsrc = src[:s0] + newprep + src[s1:]\nsrc = src.replace('''def _dkdv(Q, KT, VT, DO, LSE, DELTA, DK, DV, DS, CU, n, T, TP, W, MAXKB, NDS, sm_scale,''',\n                  '''def _dkdv(Q, K, V, DO, LSE, DELTA, DK, DV, DS, CU, n, T, W, MAXKB, NDS, sm_scale,''')\nold = '''    kt_desc = tl.make_tensor_descriptor(KT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n    vt_desc = tl.make_tensor_descriptor(VT, shape=[HKV * D, TP], strides=[TP, 1], block_shape=[D, BN])\n'''\nassert old in src\nsrc = src.replace(old, \"\")\nsrc = src.replace('''    kr_desc = tl.make_tensor_descriptor(KT, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    vr_desc = tl.make_tensor_descriptor(VT, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])''',\n'''    kr_desc = tl.make_tensor_descriptor(K, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])\n    vr_desc = tl.make_tensor_descriptor(V, shape=[T, HKV * D], strides=[HKV * D, 1], block_shape=[BN, D])''')\nold3 = '''    TP = nkb * BN\n    kt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n    vt = torch.empty((HKV * D, TP), device=q.device, dtype=torch.bfloat16)\n'''\nassert old3 in src\nsrc = src.replace(old3, \"\")\nold4 = '''    ndp = triton.cdiv(T * H, 32)\n    _prep[(ndp + nkb * HKV,)](o, do, delta, k, v, kt, vt, cu_seqlens, n, T, TP, ndp, H=H, HKV=HKV, D=D, RB=32, BN=BN,\n                             NP=NP, num_warps=4)\n'''\nassert old4 in src\nsrc = src.replace(old4, \"    _prep[(triton.cdiv(T * H, 32),)](o, do, delta, T, H=H, D=D, RB=32, num_warps=4)\\n\")\nsrc = src.replace(\"_dkdv[grid](q, k, v, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, TP, W, maxkb, nds, sm_scale,\",\n                  \"_dkdv[grid](q, k, v, do, lse, delta, wk, wv, ds, cu_seqlens, n, T, W, maxkb, nds, sm_scale,\")\nopen('sol_v14.py', 'w').write(src)\nEOF\ngrep -n \"TP\\|kt_desc\\|vt_desc\\|_locate(CU, n, blk\" sol_v14.py; python -c \"import static_check; print(static_check.check(open('/workspace/sol_v14.py').read()))\"; CUDA_LAUNCH_BLOCKING=1 timeout 900 python edge.py sol_v14.py \"[([60, 68], 8, 1, -1), ([1, 2, 3, 130, 7], 4, 1, -1), ([300, 77], 16, 2, 50), ([513, 1], 8, 4, 100), ([700, 300], 5, 1, -1), ([1], 2, 2, -1), ([250], 4, 4, 5000)]\" 2>&1 | grep -E \"^\\[|Error\" | cut -c1-250","description":"Build v14 without transpose prep and run edge tests"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1549,"cache_read_input_tokens":349788,"cache_creation":{"ephemeral_5m_input_tokens":1549,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"d1e78902-b29f-44c4-933e-7b4a7a4aec2e","timestamp":"2026-10-18T12:15:50.340Z","request_id":"req_011Cg9gj3MyMe3tdb2WiBwBN"}
{"type":"system","subtype":"task_started","task_id":"bkclxeu04","run_id":"0mvdsh6a6-1af5942b","tool_use_id":"toolu_01EKXGitcxo8da8SwhUuj1Jv","description":"Build v14 without transpose prep and run edge tests","is_backgrounded":false,"task_type":"local_bash","uuid":"070cac54-6df0-4478-a8c6-71cce1c95065","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
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{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01EKXGitcxo8da8SwhUuj1Jv","type":"tool_result","content":"(True, 'ok')\n[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n[700, 300] 5 1 -1 ok\n[1] 2 2 -1 ok\n[250] 4 4 5000 ok","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"f071e94c-f060-42fb-a45a-9259fc35ba21","timestamp":"2026-10-18T12:16:02.449Z","tool_use_result":{"stdout":"(True, 'ok')\n[60, 68] 8 1 -1 ok\n[1, 2, 3, 130, 7] 4 1 -1 ok\n[300, 77] 16 2 50 ok\n[513, 1] 8 4 100 ok\n[700, 300] 5 1 -1 ok\n[1] 2 2 -1 ok\n[250] 4 4 5000 ok","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01EKXGitcxo8da8SwhUuj1Jv","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
{"type":"assistant","message":{"model":"claude-opus-5-5","id":"msg_011Cg9gm8GTS4hNhQKE9qtUj","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GVBkVzbqazsBoSte3t6GFL","name":"Bash","input":{"command":"timeout 1500 python bench.py sol_v14.py 2>&1 | grep -E \"^[0-9]|geomean|error|Error\" | cut -c1-200; for s in 0 3; do timeout 600 python prof.py sol_v14.py $s 2>&1 | grep -E \"^ +_\" | awk '{print $1, $(NF-1)}'; done; date","description":"Full bench and breakdown for v14"},"caller":{"type":"direct"}}],"container":null,"stop_reason":null,"stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2237,"cache_read_input_tokens":351337,"cache_creation":{"ephemeral_5m_input_tokens":2237,"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":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"a591eabc-ffa6-4cc0-8f46-4081ce23421d","timestamp":"2026-10-18T12:16:05.427Z","request_id":"req_011Cg9gm6vambnEHY9QyjMpE"}
{"type":"system","subtype":"task_started","task_id":"bh9hdvjzg","run_id":"0mvdshhx1-5a7218cb","tool_use_id":"toolu_01GVBkVzbqazsBoSte3t6GFL","description":"Full bench and breakdown for v14","is_backgrounded":false,"task_type":"local_bash","uuid":"e0ba1d74-456f-4e38-b570-6abd3e001d83","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"system","subtype":"task_notification","task_id":"bh9hdvjzg","run_id":"0mvdshhx1-5a7218cb","tool_use_id":"toolu_01GVBkVzbqazsBoSte3t6GFL","status":"completed","output_file":"","summary":"Full bench and breakdown for v14","uuid":"e36c1320-c271-4104-bc01-e22cc5f62ad9","session_id":"37478c68-e7d2-4bbc-909d-ce226771c695"}
{"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01GVBkVzbqazsBoSte3t6GFL","type":"tool_result","content":"0 0: ok 1845.2 us  expert 1518  ratio 0.823\n1 1: ok 604.2 us  expert 510  ratio 0.844\n2 2: ok 1053.7 us  expert 980  ratio 0.930\n3 3: ok 1274.9 us  expert 1165  ratio 0.914\n4 4: ok 318.5 us  expert 302  ratio 0.948\n5 5: ok 580.6 us  expert 520  ratio 0.896\ngeomean ratio 0.8912746971934054\n_dkdv 1.583ms\n_dq 228.989us\n_prep 26.266us\n_dkdv 1.044ms\n_dq 182.968us\n_prep 46.494us\nSun Oct 18 12:16:27 UTC 2026","is_error":false}]},"parent_tool_use_id":null,"session_id":"37478c68-e7d2-4bbc-909d-ce226771c695","uuid":"244d7391-2d4b-4bac-a160-56e1b5369b24","timestamp":"2026-10-18T12:16:27.551Z","tool_use_result":{"stdout":"0 0: ok 1845.2 us  expert 1518  ratio 0.823\n1 1: ok 604.2 us  expert 510  ratio 0.844\n2 2: ok 1053.7 us  expert 980  ratio 0.930\n3 3: ok 1274.9 us  expert 1165  ratio 0.914\n4 4: ok 318.5 us  expert 302  ratio 0.948\n5 5: ok 580.6 us  expert 520  ratio 0.896\ngeomean ratio 0.8912746971934054\n_dkdv 1.583ms\n_dq 228.989us\n_prep 26.266us\n_dkdv 1.044ms\n_dq 182.968us\n_prep 46.494us\nSun Oct 18 12:16:27 UTC 2026","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"tool_result_meta":[{"id":"toolu_01GVBkVzbqazsBoSte3t6GFL","permission_decision":{"decision":"accept","source":"config","reason_type":"mode"}}]}
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