{
  "time": "2026-10-31 22:50:38 CDT",
  "machine": "lambda-2x-4090",
  "rows": [
    {
      "step": "0-baseline",
      "target": "Impl A config 1 (BLOCK=512)",
      "org": "acme",
      "lemma_hub": false,
      "note": "Lemma Hub disabled: no retrieval, no built-in identities, no deposit",
      "verdicts": [
        "silu_mul_tanh_kernel:UNKNOWN/unsupported"
      ],
      "configs": 1,
      "wall_s": 8.12,
      "engine_s": 7.66,
      "value_subgoal_ms": 880,
      "hits": 0,
      "hits_by_library": {
        "builtin": 0,
        "public": 0,
        "org": 0,
        "local": 0
      },
      "hit_ids": [],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.0,
      "open_goals": 1,
      "pack": [],
      "pack_compile_s": 0.0,
      "details": [
        "the generated proof was rejected by Lean: 1 value subgoal left open (no lemma, search exhausted): ∀ (a0 a1 : ℝ), a0 * a1 * (1/2) + a0 * a1 * tanh (a0 * (1/2)) * (1/2) = a0 * a1 * (1 + exp (-a0))⁻¹"
      ]
    },
    {
      "step": "1-cold",
      "target": "Impl A config 1 (BLOCK=512)",
      "org": "acme",
      "lemma_hub": true,
      "note": "built-in lemmas, empty library: solved by search, new lemma deposited",
      "verdicts": [
        "silu_mul_tanh_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 4.53,
      "engine_s": 4.06,
      "value_subgoal_ms": 762,
      "hits": 2,
      "hits_by_library": {
        "builtin": 2,
        "public": 0,
        "org": 0,
        "local": 0
      },
      "hit_ids": [],
      "new": 1,
      "new_ids": [
        "L-d07f2c"
      ],
      "new_by_destination": {
        "org": 1
      },
      "saved_estimate_s": 0.0,
      "open_goals": 0,
      "pack": [],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 3.6s"
      ],
      "admission": [
        "usage: folded 1 verification report(s) into the hit statistics",
        "D-8b5af75092 (acme): 1 admitted, 0 rejected, 0 duplicates",
        "  + L-d07f2c  general-level → org  (Lean re-check 2.44s)"
      ]
    },
    {
      "step": "2-config",
      "target": "Impl A config 2 (BLOCK=1024)",
      "org": "acme",
      "lemma_hub": true,
      "note": "",
      "verdicts": [
        "silu_mul_tanh_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 8.52,
      "engine_s": 3.11,
      "value_subgoal_ms": 213,
      "hits": 2,
      "hits_by_library": {
        "builtin": 1,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-d07f2c"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.6,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 4.83,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 2.8s"
      ]
    },
    {
      "step": "3-config",
      "target": "Impl A config 3 (BLOCK=2048)",
      "org": "acme",
      "lemma_hub": true,
      "note": "",
      "verdicts": [
        "silu_mul_tanh_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 3.97,
      "engine_s": 3.39,
      "value_subgoal_ms": 237,
      "hits": 2,
      "hits_by_library": {
        "builtin": 1,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-d07f2c"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.6,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 3.2s"
      ]
    },
    {
      "step": "4-config",
      "target": "Impl A config 4 (BLOCK=4096)",
      "org": "acme",
      "lemma_hub": true,
      "note": "",
      "verdicts": [
        "silu_mul_tanh_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 3.84,
      "engine_s": 3.27,
      "value_subgoal_ms": 217,
      "hits": 2,
      "hits_by_library": {
        "builtin": 1,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-d07f2c"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.6,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 3.1s"
      ]
    },
    {
      "step": "5-impl-b",
      "target": "Impl B (agent, BLOCK=2048)",
      "org": "acme",
      "lemma_hub": true,
      "note": "different code layout and operation order",
      "verdicts": [
        "swiglu_agent_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 3.49,
      "engine_s": 3.01,
      "value_subgoal_ms": 207,
      "hits": 2,
      "hits_by_library": {
        "builtin": 1,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-d07f2c"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.6,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 2.8s"
      ]
    },
    {
      "step": "6-impl-b",
      "target": "Impl B (agent, BLOCK=256)",
      "org": "acme",
      "lemma_hub": true,
      "note": "different code layout and operation order",
      "verdicts": [
        "swiglu_agent_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 12.73,
      "engine_s": 12.28,
      "value_subgoal_ms": 259,
      "hits": 2,
      "hits_by_library": {
        "builtin": 1,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-d07f2c"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.6,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 3.2s"
      ]
    },
    {
      "step": "7-cross-model",
      "target": "Impl A on Qwen/Qwen3-0.6B (I=3072)",
      "org": "acme",
      "lemma_hub": true,
      "note": "",
      "verdicts": [
        "silu_mul_tanh_kernel:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 3.4,
      "engine_s": 2.95,
      "value_subgoal_ms": 247,
      "hits": 2,
      "hits_by_library": {
        "builtin": 1,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-d07f2c"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.6,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 40960]); Lean kernel checked in 2.9s"
      ]
    },
    {
      "step": "8a-norm-cold",
      "target": "RMSNorm √(1/v), Qwen3.8-27B input_norm",
      "org": "acme",
      "lemma_hub": true,
      "note": "",
      "verdicts": [
        "rmsnorm_sqrt_recip:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 5.68,
      "engine_s": 5.2,
      "value_subgoal_ms": 1541,
      "hits": 2,
      "hits_by_library": {
        "builtin": 2,
        "public": 0,
        "org": 0,
        "local": 0
      },
      "hit_ids": [],
      "new": 1,
      "new_ids": [
        "L-953f36"
      ],
      "new_by_destination": {
        "org": 1
      },
      "saved_estimate_s": 0.0,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 262144]); Lean kernel checked in 4.2s"
      ],
      "admission": [
        "usage: folded 7 verification report(s) into the hit statistics",
        "D-d090e95c2f (acme): 1 admitted, 0 rejected, 0 duplicates",
        "  + L-953f36  operator-level → org  (Lean re-check 2.19s)"
      ]
    },
    {
      "step": "8b-norm-other-model",
      "target": "RMSNorm √(1/v), Muse-Glimmer-30B input_norm (H=6656, ε=1e-5)",
      "org": "acme",
      "lemma_hub": true,
      "note": "operator-level lemma deposited on Qwen3.8-27B (H, ε symbolic)",
      "verdicts": [
        "rmsnorm_sqrt_recip:PASS/proved"
      ],
      "configs": 1,
      "wall_s": 9.42,
      "engine_s": 4.32,
      "value_subgoal_ms": 985,
      "hits": 3,
      "hits_by_library": {
        "builtin": 2,
        "public": 0,
        "org": 1,
        "local": 0
      },
      "hit_ids": [
        "L-953f36"
      ],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.5,
      "open_goals": 0,
      "pack": [
        "L-953f36",
        "L-d07f2c"
      ],
      "pack_compile_s": 4.61,
      "details": [
        "proved for the whole shape domain (T ∈ [1, 131072]); Lean kernel checked in 3.6s"
      ]
    },
    {
      "step": "8c-negative-control",
      "target": "RMSNorm √(1/v) with (1 + w) on granite-4.2-3b (spec: w)",
      "org": "acme",
      "lemma_hub": true,
      "note": "must be FAILED: lemmas affect speed, never verdicts",
      "verdicts": [
        "rmsnorm_sqrt_recip:FAILED/counterexample"
      ],
      "configs": 1,
      "wall_s": 2.05,
      "engine_s": 1.54,
      "value_subgoal_ms": 0,
      "hits": 0,
      "hits_by_library": {
        "builtin": 0,
        "public": 0,
        "org": 0,
        "local": 0
      },
      "hit_ids": [],
      "new": 0,
      "new_ids": [],
      "new_by_destination": {},
      "saved_estimate_s": 0.0,
      "open_goals": 0,
      "pack": [
        "L-d07f2c"
      ],
      "pack_compile_s": 0.0,
      "details": [
        "y[0, 0]: kernel 0.173331, spec 0.0472402 (typical); minimal: y[0, 0]: kernel 0.181026, spec 0.0549353"
      ]
    }
  ]
}