{ "math_check": { "gamma": [ 0.0, 0.05, 0.1, 0.2, 0.4 ], "variance_slope_observed": [ 0.0, 0.4083374166666667, 0.8166748333333333, 1.6333496666666667, 3.2666993333333334 ], "variance_slope_predicted_2gamma": [ 0.0, 0.1, 0.2, 0.4, 0.8 ], "euler_excess_variance_observed": [ 2.4666993333333336, 2.4697839835544264, 2.472871185884375, 2.479053246870833, 2.4914479941499996 ], "euler_excess_variance_predicted": [ 0.0, 3.125e-07, 1.25e-06, 5e-06, 2e-05 ], "identity_abs_errors": [ 0.3083374166666667, 1.2333496666666668, 2.4666993333333336 ], "zero_gamma_correction": 2.4666993333333336 }, "controller_experiment": { "device": "cuda", "amortized_pretraining_seconds": 84.64497542381287, "amortized_mean_cost": 0.728020585840568, "amortized_mean_mean_error": 0.05318319221260026, "amortized_mean_variance_error": 0.08519219467416406, "independent_90step_mean_cost": 0.3131400402635336, "independent_mean_error": 0.01835873955860734, "independent_variance_error": 0.004139695316553116, "independent_seconds_per_task": 11.656281918287277, "note": "Costs are direct Monte Carlo rollout objectives; no target trajectories are used." } }