{
  "bench_version": 1,
  "track": "poisson_hodge_periodic",
  "model": "mlp_tiny",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
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      "lr": 0.003
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    "sweep": [
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        "cfg": {
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        "mean": 1.1046047359704971
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      {
        "cfg": {
          "lr": 0.01
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        "mean": 1.2606632113456726
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    "full": {
      "mean": 1.0800504088401794,
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      "per_seed": [
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        1.091360092163086,
        1.0986981391906738,
        1.034430980682373,
        0.9974951148033142
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      "n": 8
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  "idea": {
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    "per_seed": [
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      0.5025325417518616,
      0.3978813886642456,
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    "selected_cfg": {
      "lr": 0.01
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  "comparison": {
    "delta_mean": -0.6789125688374043,
    "idea_wins": 8,
    "n_pairs": 8,
    "per_seed_diffs": [
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      -0.5371090769767761,
      -0.6794269979000092,
      -0.7746430039405823,
      -0.6934787034988403,
      -0.6595643758773804,
      -0.5930801928043365,
      -0.6835551857948303
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    "p_value": 0.0081,
    "mde": 0.07381216084595137,
    "mde_rel_pct": 6.834140355098345,
    "verdict": "idea better (significant)",
    "system_worked": true
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  "mechanism_signature": {
    "mechanism_signature": {
      "prediction": "div(curl A)=0 for trained dual model",
      "baseline_observed_constraint_residual": 106.66156768798828,
      "idea_observed_div_curl_max": 2.384185791015625e-07,
      "confirmed": true
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    "custom_track": {
      "name": "poisson_hodge_periodic",
      "file": "bench_stage2.py",
      "domain": "pde"
    },
    "runtime_sec": 21.82808494567871
  }
}