{
  "seed": 1268,
  "math": {
    "formula_check": [
      {
        "M": 1,
        "predicted": 0.17300000000000004,
        "observed": 0.17465833333333333,
        "abs_error": 0.0016583333333332895
      },
      {
        "M": 2,
        "predicted": 0.3160710000000001,
        "observed": 0.3166833333333333,
        "abs_error": 0.0006123333333332148
      },
      {
        "M": 4,
        "predicted": 0.5322411229590001,
        "observed": 0.5315916666666667,
        "abs_error": 0.0006494562923333724
      },
      {
        "M": 8,
        "predicted": 0.7812016329493428,
        "observed": 0.7828416666666667,
        "abs_error": 0.0016400337173239077
      },
      {
        "M": 16,
        "predicted": 0.9521272745759659,
        "observed": 0.9519,
        "abs_error": 0.00022727457596594114
      },
      {
        "M": 32,
        "predicted": 0.9977082021604751,
        "observed": 0.997875,
        "abs_error": 0.00016679783952489036
      }
    ],
    "monotone_fraction": 1.0,
    "stale_optima": [
      {
        "stale": 0.0,
        "predicted_opt_m": 16,
        "observed_opt_m": 15,
        "best_r": 0.9637778259814039,
        "observed_best_r": 0.9641244799426367
      },
      {
        "stale": 0.005,
        "predicted_opt_m": 8,
        "observed_opt_m": 8,
        "best_r": 0.9441527423909375,
        "observed_best_r": 0.9443725779675136
      },
      {
        "stale": 0.015,
        "predicted_opt_m": 5,
        "observed_opt_m": 5,
        "best_r": 0.9188216677466229,
        "observed_best_r": 0.9196011205832493
      },
      {
        "stale": 0.03,
        "predicted_opt_m": 3,
        "observed_opt_m": 4,
        "best_r": 0.8995038654021466,
        "observed_best_r": 0.8995020048983633
      },
      {
        "stale": 0.05,
        "predicted_opt_m": 3,
        "observed_opt_m": 3,
        "best_r": 0.8995038654021466,
        "observed_best_r": 0.8996358598731962
      },
      {
        "stale": 0.08,
        "predicted_opt_m": 3,
        "observed_opt_m": 3,
        "best_r": 0.8995038654021466,
        "observed_best_r": 0.8991693702792418
      }
    ],
    "low_rho_scaling": [
      {
        "M": 1,
        "r": 0.0020000000000000018,
        "r_over_Mrho": 1.0000000000000009
      },
      {
        "M": 2,
        "r": 0.0039959999999999996,
        "r_over_Mrho": 0.9989999999999999
      },
      {
        "M": 4,
        "r": 0.007976031983999987,
        "r_over_Mrho": 0.9970039979999984
      },
      {
        "M": 8,
        "r": 0.015888446881790252,
        "r_over_Mrho": 0.9930279301118907
      },
      {
        "M": 16,
        "r": 0.03152445101926493,
        "r_over_Mrho": 0.9851390943520291
      }
    ]
  },
  "comparison": {
    "fixed_escapes": {
      "1": 60,
      "2": 73,
      "4": 69,
      "8": 43,
      "16": 0
    },
    "adaptive": {
      "escapes": 65,
      "mean_m": 3.75,
      "final_m": 6
    },
    "adaptive_trajectory": [
      2,
      2,
      2,
      2,
      1,
      1,
      1,
      1,
      2,
      2,
      2,
      2,
      3,
      3,
      3,
      3,
      3,
      3,
      3,
      3,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      3,
      3,
      3,
      3,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      5,
      5,
      5,
      5,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      4,
      5,
      5,
      5,
      5,
      5,
      5,
      5,
      5,
      6,
      6,
      6,
      6
    ]
  }
}