{
  "bench_version": 1,
  "track": "directional_polytope",
  "model": "mlp_tiny",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
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          "lr": 0.003,
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        "mean": 0.001629675563890487
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        "mean": 0.004855888721067458
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    ],
    "full": {
      "mean": 0.0010100424842676148,
      "std": 0.0001477102326352443,
      "per_seed": [
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        0.0007697537657804787,
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      "n": 8
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  },
  "idea": {
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    "std": 9.055997386539207e-05,
    "per_seed": [
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    "n": 8
  },
  "comparison": {
    "delta_mean": 0.00027566138305701315,
    "idea_wins": 0,
    "n_pairs": 8,
    "per_seed_diffs": [
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      0.00018216052558273077,
      0.0003167645772919059,
      0.000229805416893214,
      1.0582269169390202e-05
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    "p_value": 0.0081,
    "mde": 0.00012395723646933067,
    "mde_rel_pct": 12.272477484866636,
    "verdict": "idea worse (significant)",
    "system_worked": false
  },
  "mechanism_signature": {
    "quantity": "diagonal Jacobian of trained feasibility head",
    "predicted_mean_abs": 2.8536648750305176,
    "observed_mean_abs": 2.853664852678776,
    "max_relative_error": 1.4644062872233774e-07,
    "confirmed": true
  },
  "idea_sweep": [
    {
      "cfg": {
        "lr": 0.03,
        "eps": 0.05
      },
      "mean": 0.007740114291664213
    },
    {
      "cfg": {
        "lr": 0.03,
        "eps": 0.1
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      "mean": 0.0024592391564510763
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    {
      "cfg": {
        "lr": 0.03,
        "eps": 0.2
      },
      "mean": 0.001296577713219449
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  ],
  "idea_best_cfg": {
    "lr": 0.03,
    "eps": 0.2
  },
  "runtime_seconds": 35.400410652160645,
  "protocol_note": "Registered directional_polytope; same MLP, end-to-end trained systems; box log barrier feasibility."
}