Coxeter Folding Reversible Recurrence / results.json
Mechanism confirmed, baseline not beaten
1{
2 "math_check": {
3 "samples": 1997,
4 "max_relative_error": 4.72663415475066e-12,
5 "median_relative_error": 3.258585935062164e-16
6 },
7 "fixed_schedule": [
8 {
9 "dtype": "<class 'numpy.complex128'>",
10 "steps": 8,
11 "reconstruction_relative_error": 4.498539874963971e-16,
12 "minimum_denominator": 0.288552825689198,
13 "max_abs_state": 1.5802456447529372
14 },
15 {
16 "dtype": "<class 'numpy.complex128'>",
17 "steps": 40,
18 "reconstruction_relative_error": 7.007181803602299e-15,
19 "minimum_denominator": 0.034689396174844185,
20 "max_abs_state": 2.457633437730956
21 },
22 {
23 "dtype": "<class 'numpy.complex128'>",
24 "steps": 160,
25 "reconstruction_relative_error": 2.2693472494823164e-11,
26 "minimum_denominator": 0.0008616152721343989,
27 "max_abs_state": 1.064376148824987
28 }
29 ],
30 "float32_schedule": [
31 {
32 "dtype": "<class 'numpy.complex64'>",
33 "steps": 8,
34 "reconstruction_relative_error": 3.320976418308419e-07,
35 "minimum_denominator": 0.2885529100894928,
36 "max_abs_state": 1.5802457332611084
37 },
38 {
39 "dtype": "<class 'numpy.complex64'>",
40 "steps": 40,
41 "reconstruction_relative_error": 1.279732350667473e-05,
42 "minimum_denominator": 0.03468940407037735,
43 "max_abs_state": 2.457627058029175
44 },
45 {
46 "dtype": "<class 'numpy.complex64'>",
47 "steps": 160,
48 "reconstruction_relative_error": 0.031110454350709915,
49 "minimum_denominator": 0.0008607401396147907,
50 "max_abs_state": 1.0643761157989502
51 }
52 ],
53 "singularity_sweep": [
54 {
55 "epsilon": 0.1,
56 "denominator": 0.20880613017821106,
57 "folded_abs": 2.0321385671167453,
58 "involution_error": 2.7755575615628914e-17
59 },
60 {
61 "epsilon": 0.001,
62 "denominator": 0.0020880613017821167,
63 "folded_abs": 215.36269013631863,
64 "involution_error": 0.0
65 },
66 {
67 "epsilon": 1e-05,
68 "denominator": 2.0880613017818057e-05,
69 "folded_abs": 21550.942956793566,
70 "involution_error": 0.0
71 },
72 {
73 "epsilon": 1e-07,
74 "denominator": 2.0880613016666926e-07,
75 "folded_abs": 2155108.993403664,
76 "involution_error": 2.7755575615628914e-17
77 },
78 {
79 "epsilon": 1e-09,
80 "denominator": 2.0880613070634515e-09,
81 "folded_abs": 215510913.48120335,
82 "involution_error": 2.7755575615628914e-17
83 }
84 ],
85 "memory_note": {
86 "reversible_saved_fold_states": 0,
87 "ordinary_unroll_saved_fold_states_20_steps": 20,
88 "state_size_points": 8
89 }
90}