{
  "bench_version": 1,
  "track": "tropical_bvp_local",
  "model": "mlp_tiny",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.01
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    "sweep": [
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        "cfg": {
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        "mean": 0.003336876048706472
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      {
        "cfg": {
          "lr": 0.003
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        "mean": 0.0011900161189259961
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      {
        "cfg": {
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        "mean": 0.000861294822243508
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    "full": {
      "mean": 0.0009052688219526317,
      "std": 0.0004350915393040872,
      "per_seed": [
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        0.0015744760166853666,
        0.0006345321307890117,
        0.0005724351503886282,
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      "n": 8
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  },
  "idea": {
    "mean": 4.334789571203146e-05,
    "std": 3.419351421414795e-05,
    "per_seed": [
      2.4084965843940154e-05,
      5.797945414087735e-05,
      2.5533416192047298e-05,
      0.00012380495900288224,
      5.688657984137535e-05,
      2.5164303224300966e-05,
      2.112643778673373e-05,
      1.2203049664094578e-05
    ],
    "n": 8
  },
  "comparison": {
    "delta_mean": -0.0008619209262406002,
    "idea_wins": 8,
    "n_pairs": 8,
    "per_seed_diffs": [
      -0.0005919120412727352,
      -0.0009712261708045844,
      -0.00025345936592202634,
      -0.0013971789157949388,
      -0.0015175894368439913,
      -0.0006093678275647108,
      -0.0005513087126018945,
      -0.0010033249391199206
    ],
    "p_value": 0.0081,
    "mde": 0.0003674374727478223,
    "mde_rel_pct": 40.58876919623423,
    "verdict": "idea better (significant)",
    "system_worked": true
  },
  "custom_track": {
    "name": "tropical_bvp_local",
    "file": "tropical_bvp_track.py",
    "domain": "pde"
  },
  "idea_config": {
    "lr": 0.01
  },
  "idea_sweep": [
    {
      "cfg": {
        "lr": 0.001
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      "result": {
        "mean": 0.0026805170200532302,
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        "per_seed": [
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        "n": 8
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    },
    {
      "cfg": {
        "lr": 0.003
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      "result": {
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        "n": 8
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    },
    {
      "cfg": {
        "lr": 0.01
      },
      "result": {
        "mean": 4.334789571203146e-05,
        "std": 3.419351421414795e-05,
        "per_seed": [
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        "n": 8
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    }
  ],
  "support_analysis": {
    "truncation_order": 15,
    "baseline_exponents": [
      0,
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10,
      11,
      12,
      13,
      14,
      15
    ],
    "tropical_exponents": [
      1,
      3,
      5,
      7,
      9,
      11,
      13,
      15
    ],
    "formal_reason": "sin(pi*x) has only odd Taylor powers at x=0"
  },
  "mechanism_signature": {
    "prediction": "trained tropical system has zero off-support basis contribution and baseline has measurable even-power contribution",
    "baseline_test_rmse": 0.7069432139396667,
    "baseline_off_support_rms": 0.21276862919330597,
    "idea_active_contribution_rms": 0.2844577431678772,
    "observed_baseline_off_support_fraction": 0.3009699011149493,
    "observed_idea_off_support_fraction": 0.0,
    "confirmed": true
  }
}