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  "seed": 2096,
  "mechanism": {
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      "predicted_slope": 2.0,
      "absolute_error": 1.6373569167171809e-12
    },
    "scheduler_target": {
      "C": 2.6,
      "epsilon": 0.05,
      "claimed_sqrt_target": 0.1386750490563073,
      "observed_h": 0.37582223284762506,
      "observed_residual": 0.3739050961073697,
      "formula_fixed_point_fourth_root": 0.37239098949398236,
      "observed_vs_fourth_root_relative_error": 0.009214088016214329,
      "claimed_target_relative_error": 1.7100926619829577,
      "note": "The implemented formula lacks the multiplicative h_k present in the paper-style ratio controller."
    },
    "ratio_sweep": {
      "observed_min": 0.7407407407407406,
      "observed_max": 1.35,
      "predicted_bounds": [
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        1.35
      ]
    }
  },
  "benchmark": {
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      "final_accuracy": 0.9697083622217179,
      "best_loss": 0.013873971998691559,
      "mean_interval": 0.08,
      "interval_min": 0.08,
      "interval_max": 0.08
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    "cosine": {
      "final_loss": 0.07511417027562857,
      "final_accuracy": 0.9700000286102295,
      "best_loss": 0.018428776413202286,
      "mean_interval": 0.04015384615384616,
      "interval_min": 2.9199657755718536e-06,
      "interval_max": 0.08
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    "adaptive": {
      "final_loss": 0.06976893227547407,
      "final_accuracy": 0.969750028848648,
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      "interval_min": 0.08,
      "interval_max": 0.17927704260472446
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    "device": "cuda"
  }
}