{
  "bench_version": 1,
  "track": "tabular",
  "model": "fourier_mlp_shared",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.003
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001
        },
        "mean": 33.56439447402954
      },
      {
        "cfg": {
          "lr": 0.003
        },
        "mean": 22.75266695022583
      },
      {
        "cfg": {
          "lr": 0.01
        },
        "mean": 22.805188179016113
      }
    ],
    "full": {
      "mean": 23.26982045173645,
      "std": 2.8220737062934167,
      "per_seed": [
        23.454627990722656,
        20.045284271240234,
        23.504892349243164,
        24.005863189697266,
        23.5848388671875,
        27.756813049316406,
        18.11393165588379,
        25.692312240600586
      ],
      "n": 8
    }
  },
  "idea": {
    "mean": 24.201251745224,
    "std": 1.9567082483775788,
    "per_seed": [
      25.041019439697266,
      21.52345848083496,
      25.802366256713867,
      22.822996139526367,
      21.128692626953125,
      26.736886978149414,
      25.048274993896484,
      25.506319046020508
    ],
    "n": 8
  },
  "comparison": {
    "delta_mean": 0.9314312934875488,
    "idea_wins": 4,
    "n_pairs": 8,
    "per_seed_diffs": [
      1.5863914489746094,
      1.4781742095947266,
      2.297473907470703,
      -1.1828670501708984,
      -2.456146240234375,
      -1.0199260711669922,
      6.934343338012695,
      -0.18599319458007812
    ],
    "p_value": 0.43755,
    "mde": 2.4404744399584257,
    "mde_rel_pct": 10.487723551714435,
    "verdict": "no significant win",
    "system_worked": false
  },
  "notes": "Tabular is the matched built-in track for an input embedding/kernel feature intervention.",
  "mechanism_signature": {
    "prediction": "deterministic quadrature has lower top-10 RBF Gram eigenvalue error",
    "predicted_baseline_top10_relative_error": 1.4234343767166138,
    "predicted_idea_top10_relative_error": 4.320810317993164,
    "observed_delta_idea_minus_baseline": 2.8973759412765503,
    "confirmed": false
  }
}