{ "math_check": { "gamma": [ 0.0, 0.05, 0.1, 0.2, 0.4 ], "variance_slope_observed": [ 0.0, 0.09999999999999999, 0.19999999999999998, 0.39999999999999997, 0.7999999999999999 ], "variance_slope_predicted_2gamma": [ 0.0, 0.1, 0.2, 0.4, 0.8 ], "euler_excess_variance_observed": [ -1.1102230246251565e-16, 3.124999997669922e-07, 1.2499999998433903e-06, 4.999999999925203e-06, 1.9999999999693874e-05 ], "euler_excess_variance_predicted": [ 0.0, 3.125e-07, 1.25e-06, 5e-06, 2e-05 ], "identity_abs_errors": [ 1.3877787807814457e-17, 5.551115123125783e-17, 1.1102230246251565e-16 ], "zero_gamma_correction": -1.1102230246251565e-16 }, "controller_experiment": { "device": "cuda", "amortized_pretraining_seconds": 97.4223108291626, "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": 11.918880552053452, "note": "Costs are direct Monte Carlo rollout objectives; no target trajectories are used." } }