{
  "seed": 1198,
  "stability_and_convergence": {
    "multiplier_max_abs_error": 2.220446049250313e-15,
    "predicted_absolute_stability_boundary_beta_lambda": 2.0,
    "observed_absolute_stability_boundary_beta_lambda": 2.0,
    "boundary_grid_resolution": 0.0049999999999999975,
    "multiplier_sweep": [
      {
        "beta": 0.25,
        "lambda": 0.5,
        "product": 0.125,
        "predicted_final_error": 0.34360891580581665,
        "observed_final_error": 0.34360891580581665,
        "max_curve_error": 0.0
      },
      {
        "beta": 0.5,
        "lambda": 1.0,
        "product": 0.5,
        "predicted_final_error": 0.00390625,
        "observed_final_error": 0.00390625,
        "max_curve_error": 0.0
      },
      {
        "beta": 0.8,
        "lambda": 1.5,
        "product": 1.2000000000000002,
        "predicted_final_error": 2.5600000000000183e-06,
        "observed_final_error": 2.5599999999999857e-06,
        "max_curve_error": 2.220446049250313e-16
      },
      {
        "beta": 1.0,
        "lambda": 1.9,
        "product": 1.9,
        "predicted_final_error": 0.43046720999999966,
        "observed_final_error": 0.430467209999999,
        "max_curve_error": 6.661338147750939e-16
      },
      {
        "beta": 1.0,
        "lambda": 2.1,
        "product": 2.1,
        "predicted_final_error": 2.1435888100000016,
        "observed_final_error": 2.143588810000004,
        "max_curve_error": 2.220446049250313e-15
      },
      {
        "beta": 1.5,
        "lambda": 1.0,
        "product": 1.5,
        "predicted_final_error": 0.00390625,
        "observed_final_error": 0.00390625,
        "max_curve_error": 0.0
      }
    ],
    "convergence_step_sweep": [
      {
        "beta": 0.1,
        "lambda": 1.0,
        "product": 0.1,
        "predicted_steps_to_1e-4": 88,
        "observed_steps_to_1e-4": 88
      },
      {
        "beta": 0.2,
        "lambda": 1.0,
        "product": 0.2,
        "predicted_steps_to_1e-4": 42,
        "observed_steps_to_1e-4": 42
      },
      {
        "beta": 0.4,
        "lambda": 1.0,
        "product": 0.4,
        "predicted_steps_to_1e-4": 19,
        "observed_steps_to_1e-4": 19
      },
      {
        "beta": 0.2,
        "lambda": 2.0,
        "product": 0.4,
        "predicted_steps_to_1e-4": 19,
        "observed_steps_to_1e-4": 19
      }
    ],
    "prediction": "absolute convergence iff 0 < beta*lambda < 2; monotone convergence iff beta*lambda < 1"
  },
  "orthogonal_prediction": {
    "predicted_cross_key_change": 0.0,
    "observed_cross_key_change_norm": 0.0,
    "predicted_written_key_error": 0.0,
    "observed_written_key_error": 0.0
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  "associative_recall": {
    "delta_mse": 1.1055059860464123,
    "attention_mse": 8.034560930101556e-06,
    "delta_cosine": 0.28748282373903933,
    "attention_cosine": 0.9999991160175697,
    "delta_state_floats": 1024,
    "attention_stored_write_floats": 12288,
    "settings": {
      "keys": 32,
      "dim": 32,
      "repeats": 4,
      "distractors": 64,
      "beta": 0.65
    }
  }
}