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PREREG_applied outcome (server): variant A does NOT transfer - total 1580 vs Chandrupatla 1382 (+14%), per problem 40/46/46 p=0.59; guarantee held, 132/132 solved. Wins where roots are (near-)multiple: Kepler e->1 20/11/4, van der Waals near-critical 9/7/4. Losses traced to two gaps in the BASE step (the plain rule loses the same): (1) no bracket closing at the end - on sin[3,4] the root is reached in 7 evaluations (|f| 1e-16) but the far end stays 1.3e-7 away and 17 halvings follow, where Chandrupatla steps a tolerance past the root (Dekker/Brent's device); likely also the IRR losses (1/0/11); (2) roots of order < 1 (sqrt|x| sgn x): the step overshoots and oscillates (+0.15, -0.10, +0.066 ... ratio 0.8), 84 vs 4 - the unkept-promise flag only sees undershoots, the regime only m >= 2.

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Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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2026-09-21 19:49:36 +01:00
co-authored by Claude Opus 5
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== ALL 132
base total 1590 solved 132/132 violations 0
A total 1580 solved 132/132 violations 0
B total 1601 solved 132/132 violations 0
chandrupatla total 1382 solved 132/132 violations 0
brent total 1503 solved 132/132 violations 1
toms748 total 1756 solved 132/132 violations 1
A: T1 ✗ (1580 vs 1382, +14.3%) T2 ✗ (40/46/46 p=0.59) T3 ✓ (viol 0, solved 132 vs 132) -> does NOT transfer
vs brent total 1580 vs 1503 per problem 48/48/36 p=0.23
vs toms748 total 1580 vs 1756 per problem 97/17/18 p=2.8e-14
B: T1 ✗ (1601 vs 1382, +15.8%) T2 ✗ (39/53/40 p=1) T3 ✓ (viol 0, solved 132 vs 132) -> does NOT transfer
vs brent total 1601 vs 1503 per problem 55/41/36 p=0.059
vs toms748 total 1601 vs 1756 per problem 96/19/17 p=1.5e-14
== PER GROUP: A / B / Chandrupatla / Brent / TOMS748 totals; A vs Chandrupatla w/t/l
GSL n= 10 268 / 267 / 123 / 202 / 203 2/1/7
colebrook n= 36 426 / 402 / 400 / 431 / 530 3/17/16
irr n= 12 199 / 213 / 167 / 186 / 270 1/0/11
kepler n= 35 310 / 312 / 325 / 322 / 339 20/11/4
lambert n= 7 79 / 105 / 65 / 66 / 84 3/2/2
planck n= 7 66 / 67 / 68 / 66 / 74 2/5/0
vdw n= 20 183 / 186 / 190 / 192 / 207 9/7/4
well n= 5 49 / 49 / 44 / 38 / 49 0/3/2
applied done