{
  "decays": [
    0.9,
    0.99,
    0.999,
    0.9999
  ],
  "params": {
    "decode": 3,
    "eps": 6e-08,
    "f32_rounding_eps": 6e-08,
    "flip_rel_bar": 0.0875,
    "khd": 128,
    "layers": 48,
    "prefill": 22,
    "seed": 20260628,
    "vhd": 128
  },
  "rows": [
    {
      "decay": 0.9,
      "depth_position_amplification": 15.038601381747238,
      "random_flip_plausible": false,
      "random_integrates": false,
      "random_tok_growth": 0.7887955203770033,
      "steps": [
        {
          "decode_token": 1,
          "rel_div_random": 3.148131804249377e-07,
          "rel_div_systematic": 8.471066693206913e-07
        },
        {
          "decode_token": 2,
          "rel_div_random": 2.602181160750669e-07,
          "rel_div_systematic": 8.935227359956408e-07
        },
        {
          "decode_token": 3,
          "rel_div_random": 2.4832322647482813e-07,
          "rel_div_systematic": 9.023160829048342e-07
        }
      ],
      "systematic_eps_flip_threshold": 0.005818360217074517,
      "systematic_flip_plausible": false,
      "systematic_integrates": true,
      "systematic_over_random_t3": 3.633635466621563,
      "systematic_tok_growth": 1.0651740985918765
    },
    {
      "decay": 0.99,
      "depth_position_amplification": 15.141219658850545,
      "random_flip_plausible": false,
      "random_integrates": false,
      "random_tok_growth": 0.7780987550762264,
      "steps": [
        {
          "decode_token": 1,
          "rel_div_random": 3.1871648310817986e-07,
          "rel_div_systematic": 8.479080914163343e-07
        },
        {
          "decode_token": 2,
          "rel_div_random": 2.594203309538862e-07,
          "rel_div_systematic": 8.989010256696027e-07
        },
        {
          "decode_token": 3,
          "rel_div_random": 2.479928987287479e-07,
          "rel_div_systematic": 9.084731795310327e-07
        }
      ],
      "systematic_eps_flip_threshold": 0.0057789267952963975,
      "systematic_flip_plausible": false,
      "systematic_integrates": true,
      "systematic_over_random_t3": 3.663303200164257,
      "systematic_tok_growth": 1.0714288361295519
    },
    {
      "decay": 0.999,
      "depth_position_amplification": 15.149176466538606,
      "random_flip_plausible": false,
      "random_integrates": false,
      "random_tok_growth": 0.7773243039905378,
      "steps": [
        {
          "decode_token": 1,
          "rel_div_random": 3.190048579672784e-07,
          "rel_div_systematic": 8.479391488350972e-07
        },
        {
          "decode_token": 2,
          "rel_div_random": 2.593675092585487e-07,
          "rel_div_systematic": 8.993297548781816e-07
        },
        {
          "decode_token": 3,
          "rel_div_random": 2.4797022918901503e-07,
          "rel_div_systematic": 9.089505879923163e-07
        }
      ],
      "systematic_eps_flip_threshold": 0.005775891527388923,
      "systematic_flip_plausible": false,
      "systematic_integrates": true,
      "systematic_over_random_t3": 3.6655633660743594,
      "systematic_tok_growth": 1.0719526150444132
    },
    {
      "decay": 0.9999,
      "depth_position_amplification": 15.149955817825344,
      "random_flip_plausible": false,
      "random_integrates": false,
      "random_tok_growth": 0.7772492197902735,
      "steps": [
        {
          "decode_token": 1,
          "rel_div_random": 3.190328958705909e-07,
          "rel_div_systematic": 8.479419505618863e-07
        },
        {
          "decode_token": 2,
          "rel_div_random": 2.59362434667101e-07,
          "rel_div_systematic": 8.993718976290133e-07
        },
        {
          "decode_token": 3,
          "rel_div_random": 2.4796806940284834e-07,
          "rel_div_systematic": 9.089973490695206e-07
        }
      ],
      "systematic_eps_flip_threshold": 0.005775594401209279,
      "systematic_flip_plausible": false,
      "systematic_integrates": true,
      "systematic_over_random_t3": 3.6657838699093377,
      "systematic_tok_growth": 1.0720042197077007
    }
  ],
  "schema": "qwen36-h1-recurrence-sensitivity/v2",
  "verdict": {
    "f32_rounding_too_small_to_flip": true,
    "random_bounded_at_near1_decay": true,
    "reading": "H1 SHARPENED: pure reduction-ORDER rounding (random per-step) stays BOUNDED under the near-1 decay -- so rounding alone is an unlikely sole cause of a token-3 flip. A SYSTEMATIC per-step bias (correlated FMA/order/algorithmic difference) INTEGRATES and dominates by ~Nx at token 3. The systematic per-reduction relative bias that reaches the flip bar by token 3 is ~5.8e-03 -- roughly 96265x larger than f32 rounding, i.e. an ALGORITHMIC difference, not float noise. DIRECTIVE for the Mac probe: hunt for a SYSTEMATIC, consistently-signed kernel difference in the recurrent scan, and check the state-FEEDING ops (H2 q/k L2-norm, H3 gated RMSNorm) which inject a steady, correlated bias into st.",
    "systematic_dominates_random_at_t3": true,
    "systematic_eps_flip_threshold": 0.005775891527388923,
    "systematic_integrates_at_near1_decay": true
  }
}
