vvsandClaude Opus 5
f5d036c9d8
The flat regime is not detectable by the three-point order estimate: m >= 2 (the exact condition for a tangent step to lose to a halving) fires on 0.2% of APS states and on only 5.8% of states of pure powers of order 3-19. Paper corrected where it said the whole gap is model order (widelimit, decision, abstract, future work - the refuted log transform removed). WARNING recorded in FINDINGS_model_order.md: article/sim_numerics.tex has carried a STALE header since the first commit (current text = sim_numerics.md, unchanged since 08-24); every paper edit of 09-20/21 went into the .tex, the .md has none of them. Which file is canonical is Valeri's call. The new text numbers trace to results_diag_*.txt but are not yet machine-checked by verify_article.py. Trace hook in pure_root is behaviour-neutral and pinned; 762 pass on the server twice. Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
19 lines
1.2 KiB
Plaintext
19 lines
1.2 KiB
Plaintext
C1 Chandrupatla on the problems where we lose, by family
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family probs ours CH gap CH bisect share
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fun1 3 141 83 58 74%
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fun2 3 99 94 5 84%
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fun3 5 344 301 43 93%
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fun4 5 339 293 46 96%
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fun5 5 282 228 54 100%
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fun6 5 263 228 35 100%
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fun8 3 47 39 8 50%
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fun9 4 60 47 13 40%
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total gap on the losing problems: 262
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C2 the 5 states breaking 'exactly one negative weight'
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fun6.1 f = [1.000e-175, -1.460e-160, -1.153e-150] w = [1.000e+00, 0.000e+00, -0.000e+00] zero weights: 2 min|f| 1.0e-175
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fun6.1 f = [4.634e-163, 1.000e-175, -1.460e-160] w = [-0.000e+00, 1.000e+00, 0.000e+00] zero weights: 2 min|f| 1.0e-175
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fun6.3 f = [-2.588e-172, 2.588e-153, 2.588e-153] w = [1.000e+00, 0.000e+00, -0.000e+00] zero weights: 2 min|f| 2.6e-172
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fun6.3 f = [6.667e-160, -2.588e-172, 2.588e-153] w = [0.000e+00, 1.000e+00, -0.000e+00] zero weights: 2 min|f| 2.6e-172
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fun6.3 f = [5.745e-156, 6.667e-160, -2.588e-172] w = [-0.000e+00, 0.000e+00, 1.000e+00] zero weights: 2 min|f| 2.6e-172
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