{
  "math_check": {
    "cases": [
      {
        "a": -1.0,
        "b": -2.0,
        "predicted_tau_c": 1.2091995761561454,
        "observed_tau_c": 1.2092034890546866,
        "tau_error_pct": 0.00032359410459100526,
        "predicted_omega": 1.7320508075688772,
        "observed_omega": 1.732046538913512,
        "omega_error_pct": 0.00024645093241647064,
        "dr_dtau_observed": 0.32374113636865176,
        "stable_side_r": -0.11282600868637183,
        "unstable_side_r": 0.05771899072292341,
        "confirmed": true
      },
      {
        "a": -0.5,
        "b": -1.5,
        "predicted_tau_c": 1.3510217177120798,
        "observed_tau_c": 1.351023350500495,
        "tau_error_pct": 0.00012085582294748195,
        "predicted_omega": 1.4142135623730951,
        "observed_omega": 1.4142122966615855,
        "omega_error_pct": 8.94993191465104e-05,
        "dr_dtau_observed": 0.30971436648374245,
        "stable_side_r": -0.11863960177636285,
        "unstable_side_r": 0.06259952273049507,
        "confirmed": true
      },
      {
        "a": -1.5,
        "b": -2.5,
        "predicted_tau_c": 1.1071487177940904,
        "observed_tau_c": 1.1071520146391511,
        "tau_error_pct": 0.0002977779775871749,
        "predicted_omega": 2.0,
        "observed_omega": 1.9999953668815533,
        "omega_error_pct": 0.00023165592233365118,
        "dr_dtau_observed": 0.3338337412552496,
        "stable_side_r": -0.10793094812360371,
        "unstable_side_r": 0.053875490253725955,
        "confirmed": true
      },
      {
        "a": -0.8,
        "b": -1.8,
        "predicted_tau_c": 1.2597899880495094,
        "observed_tau_c": 1.2597934329632234,
        "tau_error_pct": 0.00027345142815443467,
        "predicted_omega": 1.61245154965971,
        "observed_omega": 1.612448225627184,
        "omega_error_pct": 0.00020614774607157532,
        "dr_dtau_observed": 0.3187279894382008,
        "stable_side_r": -0.1150245079918748,
        "unstable_side_r": 0.05952181501446241,
        "confirmed": true
      }
    ],
    "all_predictions_confirmed": true,
    "max_tau_error_pct": 0.00032359410459100526,
    "max_omega_error_pct": 0.00024645093241647064
  },
  "device": "cuda",
  "baseline": {
    "val_loss": 0.05138149484992027,
    "accuracy": 0.99609375,
    "final_tau": 0.25,
    "final_integer_delay": 1,
    "schedule": []
  },
  "idea": {
    "val_loss": 0.04204946383833885,
    "accuracy": 0.98046875,
    "final_tau": 1.034533559652716,
    "final_integer_delay": 4,
    "schedule": [
      [
        0,
        1.268917059837155,
        -3.4963901994571835
      ],
      [
        10,
        1.2335635312506863,
        0.01784509528822964
      ],
      [
        20,
        1.2012743298167823,
        0.007630671446346771
      ],
      [
        30,
        1.1720524420080924,
        -0.002593707304366921
      ],
      [
        40,
        1.145851146359559,
        -0.012662347838222399
      ],
      [
        50,
        1.1225753190655952,
        -0.022413909020120415
      ],
      [
        60,
        1.1020859341595288,
        -0.03170205031311213
      ],
      [
        70,
        1.0842073103569676,
        -0.04040458732479568
      ],
      [
        80,
        1.068736276699722,
        -0.04842988780918123
      ],
      [
        90,
        1.0554522170627259,
        -0.0557198012100133
      ],
      [
        100,
        1.044126947825556,
        -0.06224910254276672
      ],
      [
        110,
        1.034533559652716,
        -0.06802203942386709
      ]
    ]
  }
}