{ "math_check": { "samples": 1997, "max_relative_error": 4.72663415475066e-12, "median_relative_error": 3.258585935062164e-16 }, "fixed_schedule": [ { "dtype": "", "steps": 8, "reconstruction_relative_error": 4.498539874963971e-16, "minimum_denominator": 0.288552825689198, "max_abs_state": 1.5802456447529372 }, { "dtype": "", "steps": 40, "reconstruction_relative_error": 7.007181803602299e-15, "minimum_denominator": 0.034689396174844185, "max_abs_state": 2.457633437730956 }, { "dtype": "", "steps": 160, "reconstruction_relative_error": 2.2693472494823164e-11, "minimum_denominator": 0.0008616152721343989, "max_abs_state": 1.064376148824987 } ], "float32_schedule": [ { "dtype": "", "steps": 8, "reconstruction_relative_error": 3.320976418308419e-07, "minimum_denominator": 0.2885529100894928, "max_abs_state": 1.5802457332611084 }, { "dtype": "", "steps": 40, "reconstruction_relative_error": 1.279732350667473e-05, "minimum_denominator": 0.03468940407037735, "max_abs_state": 2.457627058029175 }, { "dtype": "", "steps": 160, "reconstruction_relative_error": 0.031110454350709915, "minimum_denominator": 0.0008607401396147907, "max_abs_state": 1.0643761157989502 } ], "singularity_sweep": [ { "epsilon": 0.1, "denominator": 0.20880613017821106, "folded_abs": 2.0321385671167453, "involution_error": 2.7755575615628914e-17 }, { "epsilon": 0.001, "denominator": 0.0020880613017821167, "folded_abs": 215.36269013631863, "involution_error": 0.0 }, { "epsilon": 1e-05, "denominator": 2.0880613017818057e-05, "folded_abs": 21550.942956793566, "involution_error": 0.0 }, { "epsilon": 1e-07, "denominator": 2.0880613016666926e-07, "folded_abs": 2155108.993403664, "involution_error": 2.7755575615628914e-17 }, { "epsilon": 1e-09, "denominator": 2.0880613070634515e-09, "folded_abs": 215510913.48120335, "involution_error": 2.7755575615628914e-17 } ], "memory_note": { "reversible_saved_fold_states": 0, "ordinary_unroll_saved_fold_states_20_steps": 20, "state_size_points": 8 } }