{
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    "predictions": {
      "boundary": "Euler energy descent is guaranteed for eta*L < 2; with eta=gamma*2/L, transition is gamma=1.",
      "contraction": "Quadratic mode factor is |1-eta*lambda|; instability begins when eta*lambda_max>2.",
      "scaling": "The sufficient descent coefficient 1-eta*L/2 depends only on eta*L, not absolute L when eta is scaled by 1/L."
    },
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        "monotone_energy": true,
        "max_energy_increase": -6.165691387405303e-05,
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        "gamma": 1.2,
        "eta": 0.34285714285714286,
        "eta_L": 2.4,
        "monotone_energy": false,
        "max_energy_increase": 428617588905.42065,
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        "eta_L": 3.0,
        "monotone_energy": false,
        "max_energy_increase": 7.933575691221004e+23,
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        "observed_contraction_factor": 2.0,
        "predicted_contraction_factor": 2.0,
        "diverged_by_40_steps": true
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    ],
    "scaling_sweep": [
      {
        "lambda_max": 1.0,
        "eta": 1.6,
        "descent_coefficient": 0.19999999999999996
      },
      {
        "lambda_max": 2.0,
        "eta": 0.8,
        "descent_coefficient": 0.19999999999999996
      },
      {
        "lambda_max": 5.0,
        "eta": 0.32,
        "descent_coefficient": 0.19999999999999996
      },
      {
        "lambda_max": 10.0,
        "eta": 0.16,
        "descent_coefficient": 0.19999999999999996
      }
    ],
    "observed_transition_gamma": 1.0
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  "mini_experiment": {
    "device": "cuda",
    "train_loss_4_steps": {
      "baseline": 0.23115138709545135,
      "energy_gradient": 0.22093874216079712
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    "12_step_mse": {
      "baseline": 0.408142626285553,
      "energy_gradient": 0.4640645682811737
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    "energy_mean_first_last": [
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    "energy_nonincreasing_fraction": 1.0,
    "gradient_norm_first_last": [
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    "mean_cumulative_path_length": 2.355754792690277
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}