Coxeter Folding Reversible Recurrence / results.json

Mechanism confirmed, baseline not beaten

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 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    {
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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}