From 68df1d25db6f8fd384e43245395dd1582052432c Mon Sep 17 00:00:00 2001 From: Valeri Sitnikov Date: Mon, 21 Sep 2026 12:49:01 +0100 Subject: [PATCH] Sign tests by product underflowed: FIXED everywhere (branch, not master - the paper is not yet updated). FA * fnew < 0.0 with FA ~ -1e-200, fnew ~ 1e-150 is -0.0 and '-0.0 < 0.0' is False, so on flat functions (x^19) the bracket update moved the wrong end, the root left the bracket and the run still reported convergence - the proposed rule returned 4.9e-9, bisection 3.5e-9, ITP 1.6e-8 with a claimed 1e-12 bracket; the 1e-6 harness scored them solved. Same defect in our bisection, false-position family, Ridders, Brent, ITP and twelve copies in stage scripts, simroot/sim.py and one test; all replaced by _opposite / _same_sign, pinned by test_sign_underflow. Impact, every sweep regenerated: the paper's key configurations are unchanged to the evaluation (proposed 2806/3220, credit 3568/3020, Chandrupatla, TOMS 748, Brent, bisection); 46 stated numbers move (ITP CHA 2857 -> 2896, ITP oracle 2611 -> 2647, record CHA figures by 14-18, the grid means by ~1%) and one finding weakens: the measured-order exponent of section 7.1 was cheaper in 29 of 60 far cells and 7 of 7 safeguards; with the fix 12 of 61 and 6 of 7, and on the wide-bracket set it now loses in every safeguard and drops 5 problems. PREREG G1-G3 outcome on the fixed code: G2 (repeating step pattern, period from the data) PASSES Y1-Y4 and is ACCEPTED by the stop rule - proposed rule APS 2806 -> 2782 (below Chandrupatla's 2787), CHA 3220 -> 3169, both 6026 -> 5951, per problem vs Chandrupatla on APS 95/20/38 p = 8e-7. G1 fails Y1/Y2 (its Y3 miss was the sign bug), G3 fails Y2, A fails Y2. Regression 887 pass; the two red tests are the paper-number check (awaiting the paper update) and test_blend (fixed since, copy in stage16). Co-Authored-By: Claude Opus 5 --- analyze_extrap2.py | 80 +++++++++++ results_analyze_extrap2.txt | 22 ++++ results_diff_signfix.txt | 78 +++++++++++ results_verify_signfix.txt | 227 ++++++++++++++++++++++++++++++++ run_all_sweeps.sh | 12 ++ simroot/baselines.py | 27 +++- simroot/pure.py | 103 +++++++++++---- simroot/sim.py | 6 +- stage0_principle.py | 6 +- stage0b_pure_similarity.py | 4 +- stage10_claim_checks.py | 4 +- stage14_is_anything_reusable.py | 6 +- stage16_blend.py | 4 +- stage18_bulletproof.py | 6 +- stage19_modern.py | 6 +- stage4_why.py | 4 +- stage6b_invariant.py | 4 +- stage9_timing.py | 6 +- sweep_cap.json | 2 +- sweep_combo.json | 2 +- sweep_decision.json | 2 +- sweep_direction.json | 2 +- sweep_extrap.json | 2 +- sweep_extrap2.json | 1 + sweep_full.json | 2 +- sweep_full.py | 26 +++- sweep_gate.json | 2 +- sweep_log.json | 2 +- sweep_order.json | 2 +- sweep_points.json | 2 +- sweep_slope.json | 2 +- tests/test_extrapolate.py | 40 ++++++ tests/test_revision_points.py | 4 +- tests/test_sign_underflow.py | 46 +++++++ 34 files changed, 680 insertions(+), 64 deletions(-) create mode 100644 analyze_extrap2.py create mode 100644 results_analyze_extrap2.txt create mode 100644 results_diff_signfix.txt create mode 100644 results_verify_signfix.txt create mode 100644 run_all_sweeps.sh create mode 100644 sweep_extrap2.json create mode 100644 tests/test_sign_underflow.py diff --git a/analyze_extrap2.py b/analyze_extrap2.py new file mode 100644 index 0000000..025481c --- /dev/null +++ b/analyze_extrap2.py @@ -0,0 +1,80 @@ +"""Verdicts Y1-Y6 of PREREG_extrapolation_gates_2026-09-21.md from sweep_extrap2.json, +plus the check that mode 'steps' (A) reproduces sweep_extrap.json bit for bit. + + python -u analyze_extrap2.py +""" +from __future__ import annotations + +import json +import math + +from analyze_extrap import FAMILY, FLAT, fam_sum, h2h, load, sign_p + +MODES = ("none", "steps", "confirmed", "pattern", "steps+results") +NAME = {"none": "no lengthening", "steps": "A", "confirmed": "G1 confirmed", + "pattern": "G2 pattern", "steps+results": "G3 steps+results"} + + +def key(r): + s = r["spec"] + return (s[1], s[2], s[3], s[5], s[6], s[7]) + + +def main(): + rows = load("sweep_extrap2.json") + old = {r["label"]: r for r in load("sweep_extrap.json")} + cha = {r["label"]: r for r in load("sweep_full.json")}["chandrupatla"] + cells = {} + for r in rows: + cells.setdefault(key(r), {})[r["spec"][9]] = r + # A reproduces its own earlier sweep? + same = diff = 0 + for r in rows: + if r["spec"][9] in ("none", "steps") and r["label"] in old: + o = old[r["label"]] + if o["APS"]["per"] == r["APS"]["per"] and o["CHA"]["per"] == r["CHA"]["per"]: + same += 1 + else: + diff += 1 + print(f"A and no-lengthening cells identical to sweep_extrap.json: {same} same, {diff} differ\n") + + prop = cells[("ratio", "derived3", "project", "none", "recent", "distance")] + base = prop["none"] + print("PROPOSED RULE (tent, 3-point, projection), by mode:") + print(f" {'mode':<18} {'APS':>5} {'CHA':>5} {'both':>5} {'flat':>5} Y1 Y2 Y3 Y4 " + f"vs Chandrupatla APS (w/t/l, p)") + for m in MODES: + r = prop[m] + fam = [c[m] for k, c in cells.items() if k[2] in FAMILY] + viol = sum(x["APS"]["over"] + x["CHA"]["over"] for x in fam) + low = sum(1 for x in fam if x["APS"]["solved"] + x["CHA"]["solved"] < 193) + y1 = r["CHA"]["total"] < 3220 + y2 = r["APS"]["total"] <= 2806 + y3 = viol == 0 and low == 0 + y4 = fam_sum(r, FLAT) < fam_sum(base, FLAT) + w, t, l = h2h(r, cha, "APS") + mark = lambda b: "✓" if b else "✗" # noqa: E731 + print(f" {NAME[m]:<18} {r['APS']['total']:5d} {r['CHA']['total']:5d} " + f"{r['APS']['total'] + r['CHA']['total']:5d} {fam_sum(r, FLAT):5d} " + f"{mark(y1) if m != 'none' else '-':>2} {mark(y2) if m != 'none' else '-':>2} " + f"{mark(y3):>2} {mark(y4) if m != 'none' else '-':>2} {w}/{t}/{l} p={sign_p(w, l):.2g}" + + (" ACCEPTED" if m != "none" and y1 and y2 and y3 else "")) + print("\nY6 best cell over both sets, per mode (guarantee family, >= 193 solved):") + for m in MODES: + cand = [c[m] for k, c in cells.items() if k[2] in FAMILY + and c[m]["APS"]["solved"] + c[m]["CHA"]["solved"] >= 193] + b = min(cand, key=lambda x: x["APS"]["total"] + x["CHA"]["total"]) + print(f" {NAME[m]:<18} {b['label']:<52} {b['APS']['total']}+{b['CHA']['total']}=" + f"{b['APS']['total'] + b['CHA']['total']}") + print("\nreadings under the projection, APS/CHA by mode:") + for rd, k in (("slope", ("slope", "recent", "distance")), + ("shape+slope", ("slope", "shape", "distance")), + ("dissim+slope", ("slope", "recent", "dissimilar")), + ("defect", ("defect", "recent", "distance"))): + c = cells[("ratio", "derived3", "project") + k] + print(f" {rd:<13} " + " ".join(f"{NAME[m].split()[0]} {c[m]['APS']['total']}/" + f"{c[m]['CHA']['total']}" for m in MODES)) + + +if __name__ == "__main__": + main() diff --git a/results_analyze_extrap2.txt b/results_analyze_extrap2.txt new file mode 100644 index 0000000..a27fd4e --- /dev/null +++ b/results_analyze_extrap2.txt @@ -0,0 +1,22 @@ +A and no-lengthening cells identical to sweep_extrap.json: 182 same, 0 differ + +PROPOSED RULE (tent, 3-point, projection), by mode: + mode APS CHA both flat Y1 Y2 Y3 Y4 vs Chandrupatla APS (w/t/l, p) + no lengthening 2806 3220 6026 1823 - - ✓ - 87/24/42 p=9.2e-05 + A 2967 2926 5893 1525 ✓ ✗ ✓ ✓ 42/62/49 p=0.53 + G1 confirmed 2933 3281 6214 1859 ✗ ✗ ✓ ✗ 81/28/44 p=0.0012 + G2 pattern 2782 3169 5951 1780 ✓ ✓ ✓ ✓ 95/20/38 p=8.2e-07 ACCEPTED + G3 steps+results 2953 3205 6158 1804 ✓ ✗ ✓ ✓ 79/28/46 p=0.004 + +Y6 best cell over both sets, per mode (guarantee family, >= 193 solved): + no lengthening pure+dissim+slope.ratio.derived3.project 2726+2799=5525 + A pure+dissim+ext+slope.ratio.derived3.project 2859+2553=5412 + G1 confirmed pure+dissim+extC+slope.ratio.derived3.project 2882+2757=5639 + G2 pattern pure+dissim+extP+slope.ratio.derived3.project 2759+2789=5548 + G3 steps+results pure+dissim+extR+slope.ratio.derived3.project 2808+2785=5593 + +readings under the projection, APS/CHA by mode: + slope no 2848/3114 A 2971/2763 G1 3004/2993 G2 2809/3033 G3 2934/3043 + shape+slope no 2675/3498 A 2930/3506 G1 2800/3511 G2 2894/3483 G3 2944/3477 + dissim+slope no 2726/2799 A 2859/2553 G1 2882/2757 G2 2759/2789 G3 2808/2785 + defect no 2523/3210 A 3180/2955 G1 2667/3260 G2 2580/3183 G3 2684/3210 diff --git a/results_diff_signfix.txt b/results_diff_signfix.txt new file mode 100644 index 0000000..7c9fc58 --- /dev/null +++ b/results_diff_signfix.txt @@ -0,0 +1,78 @@ + CHANGED pure.ratio.derived3.step CHA: total 3460 -> 3524, solved 40 -> 40, over2x 10 -> 15 + CHANGED pure.ratio.start.both CHA: total 3631 -> 3626, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio.start.project CHA: total 5029 -> 5024, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.bracket.both CHA: total 3315 -> 3335, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.bracket.bracket CHA: total 3321 -> 3341, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.bracket.credit CHA: total 3130 -> 3129, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.bracket.project CHA: total 4763 -> 4763, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.bracket.safe CHA: total 3998 -> 4059, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.bracket.step CHA: total 4004 -> 4065, solved 40 -> 40, over2x 2 -> 2 + CHANGED pure.ratio_soft.derived.both CHA: total 3308 -> 3358, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived.bracket CHA: total 3167 -> 3235, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived.credit CHA: total 3094 -> 3094, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived.safe CHA: total 3643 -> 3695, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived.step CHA: total 3704 -> 3756, solved 40 -> 40, over2x 8 -> 8 + CHANGED pure.ratio_soft.derived3.both CHA: total 3370 -> 3435, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived3.bracket CHA: total 3513 -> 3581, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived3.none CHA: total 4285 -> 4248, solved 35 -> 35, over2x 5 -> 5 + CHANGED pure.ratio_soft.derived3.safe CHA: total 3681 -> 3741, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.derived3.step CHA: total 3724 -> 3819, solved 40 -> 40, over2x 5 -> 10 + CHANGED pure.ratio_soft.start.both CHA: total 3508 -> 3508, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.ratio_soft.start.project CHA: total 4954 -> 4949, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.bracket.both CHA: total 3314 -> 3323, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.bracket.bracket CHA: total 3433 -> 3440, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.bracket.credit CHA: total 3040 -> 3039, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.bracket.project CHA: total 4676 -> 4671, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.bracket.safe CHA: total 3835 -> 3829, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.bracket.step CHA: total 3841 -> 3835, solved 40 -> 40, over2x 3 -> 3 + CHANGED pure.rational.derived.both CHA: total 3674 -> 3715, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.derived.bracket CHA: total 3766 -> 3821, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.derived.safe CHA: total 3557 -> 3637, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.derived.step CHA: total 3618 -> 3698, solved 40 -> 40, over2x 10 -> 10 + CHANGED pure.rational.derived3.both CHA: total 3815 -> 3873, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.derived3.bracket CHA: total 3994 -> 4052, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.derived3.safe CHA: total 3505 -> 3538, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.rational.derived3.step CHA: total 3618 -> 3698, solved 40 -> 40, over2x 9 -> 13 + CHANGED pure.rational.start.project CHA: total 4762 -> 4758, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.bracket.both CHA: total 3391 -> 3431, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.bracket.bracket CHA: total 3387 -> 3443, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.bracket.safe CHA: total 3989 -> 4038, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.bracket.step CHA: total 4017 -> 4066, solved 40 -> 40, over2x 1 -> 1 + CHANGED pure.sqrt.derived.both CHA: total 3870 -> 3908, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived.bracket CHA: total 4102 -> 4162, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived.none CHA: total 3511 -> 3538, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived.project CHA: total 3511 -> 3538, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived.safe CHA: total 3493 -> 3520, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived.step CHA: total 3493 -> 3525, solved 40 -> 40, over2x 0 -> 1 + CHANGED pure.sqrt.derived3.both CHA: total 3737 -> 3781, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived3.bracket CHA: total 3859 -> 3904, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived3.credit CHA: total 3130 -> 3130, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived3.none CHA: total 3852 -> 3883, solved 40 -> 40, over2x 4 -> 4 + CHANGED pure.sqrt.derived3.project CHA: total 3642 -> 3649, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived3.safe CHA: total 3891 -> 3928, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.derived3.step CHA: total 3924 -> 4039, solved 40 -> 40, over2x 5 -> 10 + CHANGED pure.sqrt.start.both CHA: total 3829 -> 3829, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.start.credit CHA: total 3130 -> 3130, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.start.project CHA: total 5120 -> 5115, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.start.safe CHA: total 4395 -> 4395, solved 40 -> 40, over2x 0 -> 0 + CHANGED pure.sqrt.start.step CHA: total 4396 -> 4396, solved 40 -> 40, over2x 0 -> 0 + CHANGED ridders CHA: total 4216 -> 3768, solved 36 -> 40, over2x 0 -> 0 +unexpected changes: 168 +rows changed: APS 5 of 264, CHA 163 of 264 +label APS old->new CHA old->new solved +pure.ratio.derived3.project 2806->2806 3220->3220 193->193 +pure.ratio.derived3.credit 3568->3568 3020->3020 193->193 +pure.ratio.derived3.none 2806->2806 4104->4104 188->188 +pure.ratio.derived3.safe 3036->3036 3363->3390 193->193 +chandrupatla 2787->2787 2441->2441 193->193 +toms748 2820->2820 4000->4000 193->193 +brent 2889->2889 4115->4115 191->191 +bisection 7530->7530 3090->3090 193->193 +itp 3957->3957 2857->2896 193->193 +itp_oracle 3260->3260 2611->2647 193->193 +ridders 3313->3313 4216->3768 189->193 +illinois 7045->7045 6234->6234 176->176 +regula_falsi 10560->10560 8239->8239 133->133 +pure.sqrt.bracket.project 7796->7796 4516->4516 194->194 +pure.exp_abs.bracket.both 3461->3461 2733->2736 193->193 +proposed rule, CHA problems changed: {} diff --git a/results_verify_signfix.txt b/results_verify_signfix.txt new file mode 100644 index 0000000..80fa596 --- /dev/null +++ b/results_verify_signfix.txt @@ -0,0 +1,227 @@ + OK number of configurations got 264 want 264 + +The proposed method (projection, multiplier declared): + OK APS place got 3 want 3 + OK APS total got 2806 want 2806 + OK APS solved got 153 want 153 + BAD CHA place got 45 want 47 + OK CHA total got 3220 want 3220 + OK CHA solved got 40 want 40 + OK both sets got 6026 want 6026 + +Head to head of the proposed method: + OK APS vs chandrupatla got (87, 24, 42) want (87, 24, 42) + OK APS vs toms748 got (86, 16, 51) want (86, 16, 51) + OK APS vs brent got (102, 11, 40) want (102, 11, 40) + OK APS vs itp got (132, 3, 18) want (132, 3, 18) + OK APS vs itp_oracle got (121, 4, 28) want (121, 4, 28) + OK APS vs bisection got (152, 1, 0) want (152, 1, 0) + OK CHA vs chandrupatla got (9, 5, 26) want (9, 5, 26) + OK CHA vs toms748 got (31, 1, 8) want (31, 1, 8) + OK CHA vs brent got (30, 4, 4) want (30, 4, 4) + OK CHA vs itp got (17, 0, 23) want (17, 0, 23) + OK CHA vs itp_oracle got (16, 0, 24) want (16, 0, 24) + OK APS vs Chandrupatla sign test p < 1e-4 got True want True + OK CHA vs Chandrupatla sign test p (rounded) got 0.006 want 0.006 + +The constant-free variant (earned projection): + OK credit APS place got 29 want 29 + OK credit APS total got 3568 want 3568 + OK credit CHA place got 10 want 10 + OK credit CHA total got 3020 want 3020 + OK credit both sets got 6588 want 6588 + OK credit costs 762 more on the canonical set got 762 want 762 + OK credit APS vs chandrupatla got (79, 3, 71) want (79, 3, 71) + OK credit APS vs toms748 got (77, 9, 67) want (77, 9, 67) + OK credit APS vs brent got (78, 5, 70) want (78, 5, 70) + OK credit APS vs Chandrupatla sign test p (rounded) got 0.57 want 0.57 + +The guards that replace the step instead of projecting it: + OK APS unguarded got 2806 want 2806 + OK CHA unguarded total got 4104 want 4104 + OK CHA unguarded solved got 35 want 35 + OK CHA unguarded bound violations got 10 want 10 + OK APS bracket-guard got 7260 want 7260 + OK APS both-guard got 7239 want 7239 + +Alefeld-Potra-Shi: + OK APS winner got 'chandrupatla' want 'chandrupatla' + OK APS chandrupatla place got 1 want 1 + OK APS chandrupatla total got 2787 want 2787 + OK APS toms748 place got 4 want 4 + OK APS toms748 total got 2820 want 2820 + OK APS brent place got 5 want 5 + OK APS brent total got 2889 want 2889 + OK APS dekker place got 12 want 12 + OK APS dekker total got 3158 want 3158 + OK APS itp_oracle place got 13 want 13 + OK APS itp_oracle total got 3260 want 3260 + OK APS ridders place got 20 want 20 + OK APS ridders total got 3313 want 3313 + OK APS itp place got 34 want 34 + OK APS itp total got 3957 want 3957 + OK APS illinois place got 73 want 73 + OK APS illinois total got 7045 want 7045 + OK APS bisection place got 79 want 79 + OK APS bisection total got 7530 want 7530 + OK APS regula_falsi place got 244 want 244 + OK APS regula_falsi total got 10560 want 10560 + OK APS regula falsi solved got 127 want 127 + +Chandrupatla: + OK CHA rank 1 label got 'pure.sqrt.bracket.project' want 'pure.sqrt.bracket.project' + OK CHA rank 1 solves one more than anyone else got 41 want 41 + OK CHA chandrupatla place got 2 want 2 + OK CHA chandrupatla total got 2441 want 2441 + OK CHA itp_oracle place got 3 want 3 + BAD CHA itp_oracle total got 2647 want 2611 + OK CHA itp place got 6 want 6 + BAD CHA itp total got 2896 want 2857 + OK CHA bisection place got 16 want 16 + OK CHA bisection total got 3090 want 3090 + BAD CHA toms748 place got 159 want 164 + OK CHA toms748 total got 4000 want 4000 + BAD CHA brent place got 227 want 226 + OK CHA brent total got 4115 want 4115 + OK CHA brent solved got 38 want 38 + OK chandrupatla, both sets got 5228 want 5228 + OK Chandrupatla beats us on both sets got True want True + +Negative results, the regime claims: + BAD CHA cbrt over the whole set got 4109 want 4099 + OK single fixed choice, both sets got 6026 want 6026 + BAD switch by benchmark set, both sets got 6915 want 6905 + OK switching is worse than not switching got True want True + OK fun4.1 projection variant got 89 want 89 + OK fun4.1 cbrt got 32 want 32 + OK fun4.2 projection variant got 93 want 93 + OK fun4.2 cbrt got 32 want 32 + OK fun4.3 projection variant got 113 want 113 + OK fun4.3 cbrt got 40 want 40 + OK fun4.4 projection variant got 125 want 125 + OK fun4.4 cbrt got 47 want 47 + OK fun4.5 projection variant got 153 want 153 + OK fun4.5 cbrt got 59 want 59 + +The law across the grid: + BAD mean total, scale=derived3, lin got 6893 want 6809 + BAD mean total, scale=derived3, quad got 22315 want 22294 + BAD mean total, scale=derived, lin got 6981 want 6906 + BAD mean total, scale=derived, quad got 22206 want 22167 + BAD mean total, scale=bracket, lin got 10279 want 10263 + BAD mean total, scale=bracket, quad got 19127 want 19137 + OK mean total, scale=start, lin got 16102 want 16102 + OK mean total, scale=start, quad got 15345 want 15345 + OK every c=1 similarity beats every c=0 similarity got True want True + OK similarity ranking got ['ratio', 'exp_abs', 'rational', 'ratio_soft', 'sqrt', 'cbrt', 'exp_sq', 'rat_sq', 'cosine'] want ['ratio', 'exp_abs', 'rational', 'ratio_soft', 'sqrt', 'cbrt', 'exp_sq', 'rat_sq', 'cosine'] + BAD similarity ratio best got 6560 want 6496 + BAD similarity exp_abs best got 6895 want 6822 + BAD similarity rational best got 7118 want 7038 + BAD similarity ratio_soft best got 9578 want 9502 + BAD similarity sqrt best got 10546 want 10497 + BAD similarity cbrt best got 12002 want 11941 + BAD similarity exp_sq best got 14307 want 14314 + OK similarity rat_sq best got 15102 want 15102 + OK similarity cosine best got 16394 want 16394 + OK scale ranking got ['derived3', 'derived', 'bracket', 'start'] want ['derived3', 'derived', 'bracket', 'start'] + BAD scale derived3 best got 6560 want 6496 + BAD scale derived best got 6702 want 6628 + BAD scale bracket best got 9107 want 9081 + OK scale start best got 14540 want 14540 + +The placement modes (each in its own sweep file): + OK slope.ratio.derived3.project APS got 2848 want 2848 + BAD slope.ratio.derived3.project CHA got 3114 want 3074 + OK slope.ratio.derived3.project solved got 193 want 193 + OK slope.ratio.derived3.project guarantee (over 2x) got 0 want 0 + OK pure+shape+slope.ratio.derived3.safe APS got 2527 want 2527 + BAD pure+shape+slope.ratio.derived3.safe CHA got 3126 want 3108 + OK pure+shape+slope.ratio.derived3.safe solved got 193 want 193 + OK pure+shape+slope.ratio.derived3.safe guarantee (over 2x) got 0 want 0 + OK pure+dissim+slope.ratio.derived3.project APS got 2726 want 2726 + BAD pure+dissim+slope.ratio.derived3.project CHA got 2799 want 2785 + OK pure+dissim+slope.ratio.derived3.project solved got 193 want 193 + OK pure+dissim+slope.ratio.derived3.project guarantee (over 2x) got 0 want 0 + OK pure+shape+dissim+slope.ratio.derived3.safe APS got 2884 want 2884 + BAD pure+shape+dissim+slope.ratio.derived3.safe CHA got 2871 want 2859 + OK pure+shape+dissim+slope.ratio.derived3.safe solved got 193 want 193 + OK pure+shape+dissim+slope.ratio.derived3.safe guarantee (over 2x) got 0 want 0 + !! gate.ratio.derived.project not in sweep_gate.json — stale sweep + OK log.ratio_soft.derived.safe APS got 6940 want 6940 + BAD log.ratio_soft.derived.safe CHA got 3541 want 3474 + OK log.ratio_soft.derived.safe solved got 193 want 193 + OK log.ratio_soft.derived.safe guarantee (over 2x) got 0 want 0 + BAD pure+dissim+slope.ratio.derived3.safe CHA per-set got 2695 want 2683 + +The per-place reading (sweep_order.json): + OK far+rational both APS m=1 got 4522 want 4522 + OK far+rational both APS order got 3675 want 3675 + BAD far+rational both CHA m=1 got 3406 want 3387 + BAD far+rational both CHA order got 3906 want 3216 + OK far+rational bracket APS m=1 got 4606 want 4606 + OK far+rational bracket APS order got 3542 want 3542 + BAD far+rational bracket CHA m=1 got 3602 want 3571 + BAD far+rational bracket CHA order got 3950 want 3303 + OK far+rational credit APS m=1 got 5190 want 5190 + OK far+rational credit APS order got 4686 want 4686 + OK far+rational credit CHA m=1 got 3013 want 3013 + BAD far+rational credit CHA order got 3646 want 2884 + OK far+rational project APS m=1 got 6932 want 6932 + OK far+rational project APS order got 6364 want 6364 + BAD far+rational project CHA m=1 got 4789 want 4794 + BAD far+rational project CHA order got 5098 want 4559 + OK far+rational safe APS m=1 got 5987 want 5987 + OK far+rational safe APS order got 5229 want 5229 + BAD far+rational safe CHA m=1 got 4134 want 4108 + BAD far+rational safe CHA order got 4503 want 3923 + OK far+rational step APS m=1 got 6435 want 6435 + OK far+rational step APS order got 5551 want 5551 + BAD far+rational step CHA m=1 got 4287 want 4257 + BAD far+rational step CHA order got 4602 want 4022 + OK far+rational none APS m=1 got 10676 want 10676 + OK far+rational none APS order got 10043 want 10043 + OK far+rational none CHA m=1 got 8265 want 8265 + OK far+rational none CHA order got 7794 want 7794 + BAD cheaper in 7 of 7 safeguards got 6 want 7 + OK false position none solved got 127 want 127 + OK false position none APS got 10676 want 10676 + OK false position order solved got 128 want 128 + OK false position order APS got 10043 want 10043 + OK slope reading none APS got 2806 want 2806 + OK slope reading order APS got 2854 want 2854 + OK guarantee family violations got 0 want 0 + +The decision place (sweep_decision.json): + OK ratio.band.project APS got 5432 want 5432 + BAD ratio.band.project CHA got 3059 want 3066 + BAD ratio.band.credit CHA got 2892 want 2899 + OK ratio.none.project APS got 2806 want 2806 + OK ratio.defect.project APS got 2523 want 2523 + OK ratio.defect.project CHA got 3210 want 3210 + BAD ratio_soft.simpair.project CHA got 2897 want 2868 + OK defect APS solved got 153 want 153 + OK defect both sets got 5733 want 5733 + OK defect is the new canonical best (< 2527) got True want True + OK decision grid guarantee violations got 0 want 0 + BAD band refusal rate % got 63.5 want 63.6 + BAD defect refusal rate % got 6.6 want 7.0 + +The gap decomposition (fresh runs of the diagnosis scripts): +Traceback (most recent call last): + File "/home/valeri/sim-numerics/verify_article.py", line 558, in + main() + File "/home/valeri/sim-numerics/verify_article.py", line 220, in main + verify_gap_decomposition() + File "/home/valeri/sim-numerics/verify_article.py", line 388, in verify_gap_decomposition + fl = diag_flat_detectable.main() + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/home/valeri/sim-numerics/diag_flat_detectable.py", line 54, in main + groups[key] += states(d["f"], a, b, float(d["root"])) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/home/valeri/sim-numerics/diag_flat_detectable.py", line 40, in states + out.append(_local_order(s["x"], s["fx"], s["xp"], s["fp"], s["xp2"], s["fp2"])) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/home/valeri/sim-numerics/simroot/pure.py", line 592, in _local_order + theta = f2 * fpp / (fp * fp) + ~~~~~~~~~^~~~~~~~~~~ +ZeroDivisionError: float division by zero diff --git a/run_all_sweeps.sh b/run_all_sweeps.sh new file mode 100644 index 0000000..31dfd19 --- /dev/null +++ b/run_all_sweeps.sh @@ -0,0 +1,12 @@ +#!/bin/bash +# Regenerate EVERY sweep file after a change to the method or the baselines +# (2026-09-21: sign tests by product underflowed; fixed in pure.py and baselines.py). +# Frozen runner: detached, logged, explicit end marker. +export OMP_NUM_THREADS=1 OPENBLAS_NUM_THREADS=1 MKL_NUM_THREADS=1 +cd "$HOME/sim-numerics" || exit 1 +for flag in "" --log --gate --slope --cap --combo --points --direction --order \ + --decision --extrap --extrap2; do + echo "=== sweep ${flag:-(full)} ===" + ~/torchenv/bin/python -u sweep_full.py $flag 2>&1 | grep -E "^sweep:|wrote|Traceback|Error|FAILED" +done +echo "=== SWEEPS DONE ===" diff --git a/simroot/baselines.py b/simroot/baselines.py index de27be7..cbbabbe 100644 --- a/simroot/baselines.py +++ b/simroot/baselines.py @@ -47,6 +47,21 @@ class _Budget(Exception): pass +def _opposite(u, v): + """True when u and v have strictly opposite signs. NOT u * v < 0: for the tiny + values of a flat function near its root (x^19 there is ~1e-200) the product + underflows to -0.0, '-0.0 < 0.0' is False, and a bracket update then moves the + wrong end and loses the root while still reporting convergence (found 2026-09-21 + on fun6.5, x^19 over [-10, 100]).""" + return (u < 0.0 < v) or (v < 0.0 < u) + + +def _same_sign(u, v): + """True when u and v are both strictly positive or both strictly negative; see + _opposite for why this is not u * v > 0.""" + return (u > 0.0 and v > 0.0) or (u < 0.0 and v < 0.0) + + def _converged(a, b, xtol): return abs(b - a) <= xtol @@ -68,7 +83,7 @@ def bisection(f, a, b, xtol, maxfev): fx = g(x) if fx == 0.0: return x, g.n, True - if fa * fx < 0.0: + if _opposite(fa, fx): b, fb = x, fx else: a, fa = x, fx @@ -104,7 +119,7 @@ def _false_position_family(f, a, b, xtol, maxfev, correction): fx = g(x) if fx == 0.0: return x, g.n, True - if fa * fx < 0.0: + if _opposite(fa, fx): # b replaced; a became stale -> correct fa fa = correction(fa, fb, fx) b, fb = x, fx @@ -170,9 +185,9 @@ def ridders(f, a, b, xtol, maxfev): if fx == 0.0: return x, g.n, True # rebuild the tightest bracket among a, c, x, b - if fc * fx < 0.0: + if _opposite(fc, fx): a, fa, b, fb = (c, fc, x, fx) if c < x else (x, fx, c, fc) - elif fa * fx < 0.0: + elif _opposite(fa, fx): b, fb = x, fx else: a, fa = x, fx @@ -202,7 +217,7 @@ def brent(f, a, b, xtol, maxfev, stats=None): c, fc = a, fa d = e = b - a while True: - if fb * fc > 0.0: + if _same_sign(fb, fc): c, fc = a, fa d = e = b - a if abs(fc) < abs(fb): @@ -305,7 +320,7 @@ def itp(f, a, b, xtol, maxfev, kappa1=None, kappa2=2.0, n0=1): fx = g(x) if fx == 0.0: return x, g.n, True - if fx * fa < 0.0: + if _opposite(fx, fa): b, fb = x, fx else: a, fa = x, fx diff --git a/simroot/pure.py b/simroot/pure.py index 498dc75..a3c94e1 100644 --- a/simroot/pure.py +++ b/simroot/pure.py @@ -93,7 +93,7 @@ from __future__ import annotations import math -from .baselines import Counter, _Budget +from .baselines import Counter, _Budget, _opposite, _same_sign # -------------------------------------------------------------------------- # [0,1] similarity functions of a normalised residual z: S(0) = 1 (identical @@ -126,6 +126,63 @@ DIRECTIONS = ("distance", "dissimilar") EXPONENTS = ("none", "order") +EXTRAPOLATE_MODES = ("none", "steps", "confirmed", "pattern", "steps+results") + + +def _ratio_sim(a, b): + """The SIM ratio form for two magnitudes: min/max, 1 when they are equal.""" + hi = max(a, b) + return min(a, b) / hi if hi > 0.0 else 0.0 + + +def _extrapolation_s(mode, step, x, x_prev, x_prev2, fx, f_prev, f_prev2, moves): + """How much of the geometric-series lengthening the history CONFIRMS: returns s in + [0, 1); the step becomes step/(1 - s). 0 means leave the step alone. + + "steps" A: similarity of this step to the previous displacement. + "confirmed" G1: three moves the same way, both length ratios q1, q2 < 1; the + latest ratio q2, scaled by how similar q1 and q2 are. + "pattern" G2: A's s, applied only when the pattern of successive length ratios + repeats itself - period = the lag (2 .. half the history, so that two + repeats fit) of highest mean ratio similarity; applied iff that + similarity exceeds 1/2, the bisection constant. + "steps+results" G3: the smaller of A's s and the similarity of the last two RESULTS + f_n/f_(n-1) and f_(n-1)/f_(n-2); a result of either sign change + (a crossing) makes it 0. + No constant beyond bisection's 1/2 appears in any of them (PREREG 2026-09-21).""" + d1 = x - x_prev + if step == 0.0 or d1 == 0.0 or (step > 0.0) != (d1 > 0.0): + return 0.0 + s_step = _ratio_sim(abs(step), abs(d1)) + if mode == "steps": + return s_step + if mode == "confirmed": + if x_prev2 is None: + return 0.0 + d2 = x_prev - x_prev2 + if d2 == 0.0 or (d2 > 0.0) != (d1 > 0.0): + return 0.0 + q1, q2 = abs(d1) / abs(d2), abs(step) / abs(d1) + if not (q1 < 1.0 and q2 < 1.0): + return 0.0 + return q2 * _ratio_sim(q1, q2) + if mode == "pattern": + qs = [abs(moves[j]) / abs(moves[j - 1]) for j in range(1, len(moves)) + if moves[j - 1] != 0.0 and moves[j] != 0.0] + k, best = len(qs), 0.0 + for p in range(2, k // 2 + 1): + sims = [_ratio_sim(qs[j], qs[j - p]) for j in range(p, k)] + best = max(best, sum(sims) / len(sims)) + return s_step if best > 0.5 else 0.0 + if mode == "steps+results": + if f_prev2 is None or f_prev == 0.0 or f_prev2 == 0.0: + return 0.0 + r_n, r_p = fx / f_prev, f_prev / f_prev2 + if not (r_n > 0.0 and r_p > 0.0): + return 0.0 + return min(s_step, _ratio_sim(r_n, r_p)) + return 0.0 + def _read_z(resid, sc, exponent, m): """The normalised residual the similarity function is applied to. @@ -595,8 +652,9 @@ def pure_root(f, a, b, xtol, maxfev, similarity="ratio", scale="derived", if scale not in ("derived", "derived3", "derived_rho", "derived3_rho", "derived3_m", "derived3_cap", "start", "bracket", "far"): raise ValueError(f"unknown scale {scale!r}") - if extrapolate not in ("none", "steps"): + if extrapolate not in EXTRAPOLATE_MODES: raise ValueError(f"unknown extrapolate {extrapolate!r}") + moves = [] # displacement history, kept only for extrapolate="pattern" if exponent not in EXPONENTS: raise ValueError(f"unknown exponent {exponent!r}") if exponent == "order" and scale not in ("derived3", "derived3_cap", "bracket", "far"): @@ -641,7 +699,7 @@ def pure_root(f, a, b, xtol, maxfev, similarity="ratio", scale="derived", return a, g.n, True if fb == 0.0: return b, g.n, True - if fa * fb > 0.0: + if _same_sign(fa, fb): raise ValueError("f(a) and f(b) must straddle zero") A, FA, B, FB = a, fa, b, fb # the proven bracket @@ -866,26 +924,23 @@ def pure_root(f, a, b, xtol, maxfev, similarity="ratio", scale="derived", step = _log_space_step(S, x, fx, far, slope, c_near, xtol) if step is None: step = (1.0 - S(z_now)) * (far - x) - if extrapolate == "steps": - # PREREG 2026-09-21 (A in the method). The similarity of THIS - # step to the previous displacement: two successive moves the - # same way, of similar length, mean the iterate creeps along a - # geometric series whose remainder is step*S/(1-S) - so the - # step is lengthened by 1/(1-S). On x^m under a Newton step - # S = 1 - 1/m and the factor is m, which lands on the root. - # At a simple root successive steps shrink superlinearly, S -> - # 0 and the step is untouched. Capped at the far end, the same - # bound the step itself has; no constant. - d_prev = x - x_prev - if (step != 0.0 and d_prev != 0.0 - and (step > 0.0) == (d_prev > 0.0)): - s_steps = (min(abs(step), abs(d_prev)) - / max(abs(step), abs(d_prev))) - if s_steps < 1.0: - longer = step / (1.0 - s_steps) - reach = abs(far - x) - step = (longer if abs(longer) <= reach - else math.copysign(reach, step)) + if extrapolate != "none": + # PREREG 2026-09-21 (A in the method) and PREREG 2026-09-21 + # (gates G1-G3). Two successive moves the same way, of similar + # length, mean the iterate creeps along a geometric series + # whose remainder is step*S/(1-S): the step is lengthened by + # 1/(1-S). The modes differ only in how much of S the history + # CONFIRMS - see _extrapolation_s. Capped at the far end, the + # same bound the step itself has; no constant. + if extrapolate == "pattern": + moves.append(x - x_prev) + s_eff = _extrapolation_s(extrapolate, step, x, x_prev, + x_prev2, fx, f_prev, f_prev2, moves) + if 0.0 < s_eff < 1.0: + longer = step / (1.0 - s_eff) + reach = abs(far - x) + step = (longer if abs(longer) <= reach + else math.copysign(reach, step)) if stats is not None and "trace" in stats: # DIAGNOSTIC HOOK, behaviour-neutral: records the state each # step was taken from, so another model can be evaluated on the @@ -934,7 +989,7 @@ def pure_root(f, a, b, xtol, maxfev, similarity="ratio", scale="derived", if stats is not None: stats['forced'] = forced; stats['pre_refused'] = pre_refused; stats['triple_changed'] = triple_changed; stats['dir_changed'] = dir_changed return x_new, g.n, True - if FA * fnew < 0.0: + if _opposite(FA, fnew): B, FB = x_new, fnew else: A, FA = x_new, fnew diff --git a/simroot/sim.py b/simroot/sim.py index 233c96d..8a6343c 100644 --- a/simroot/sim.py +++ b/simroot/sim.py @@ -40,6 +40,8 @@ no sigma, no temperature, no threshold, no tuned coefficient anywhere below. """ from __future__ import annotations +from .baselines import _opposite, _same_sign # 2026-09-21 fix + import math from .baselines import Counter, _Budget @@ -155,7 +157,7 @@ def sim_root(f, a, b, xtol, maxfev, similarity="neg_sq", prototypes="pair", pending = False if fx == 0.0: return x, g.n, True - if fa * fx < 0.0: + if _opposite(fa, fx): b, fb = x, fx else: a, fa = x, fx @@ -228,7 +230,7 @@ def sim_root(f, a, b, xtol, maxfev, similarity="neg_sq", prototypes="pair", mem.append((x, fx)) if fx == 0.0: return x, g.n, True - if fa * fx < 0.0: + if _opposite(fa, fx): b, fb = x, fx else: a, fa = x, fx diff --git a/stage0_principle.py b/stage0_principle.py index 5754388..f7a924d 100644 --- a/stage0_principle.py +++ b/stage0_principle.py @@ -30,6 +30,8 @@ anything; every problem is shown. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from dataclasses import dataclass from typing import Callable @@ -85,7 +87,7 @@ def bisection(f, a, b, tol=TOL, maxfev=MAXFEV): fx = g(x) if fx == 0.0 or (b - a) <= tol: return x, st["n"] - if fa * fx < 0.0: + if _opposite(fa, fx): b, fb = x, fx else: a, fa = x, fx @@ -118,7 +120,7 @@ def sim_step(f, a, b, tol=TOL, maxfev=MAXFEV): fx = g(x) if fx == 0.0 or abs(b - a) <= tol: return x, st["n"] - if fa * fx < 0.0: + if _opposite(fa, fx): b, fb = x, fx else: a, fa = x, fx diff --git a/stage0b_pure_similarity.py b/stage0b_pure_similarity.py index cd40176..ffe4013 100644 --- a/stage0b_pure_similarity.py +++ b/stage0b_pure_similarity.py @@ -33,6 +33,8 @@ linear S, which is exactly the collapse this stage is meant to expose. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from simroot.baselines import Counter, _Budget, bisection, brent @@ -106,7 +108,7 @@ def pure_similarity_step(f, a, b, xtol, maxfev, sim="rational", scale="s0"): if fnew == 0.0: return x_new, g.n, True smax = max(smax, abs(fnew)) - if fx * fnew < 0.0: + if _opposite(fx, fnew): # the root is between the old point and the new one far, ffar = x, fx x, fx = x_new, fnew diff --git a/stage10_claim_checks.py b/stage10_claim_checks.py index 7220a29..3fb29d0 100644 --- a/stage10_claim_checks.py +++ b/stage10_claim_checks.py @@ -17,6 +17,8 @@ is accepted on authority. Each is recomputed here from scratch. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math r2 = math.sqrt(2.0) @@ -75,7 +77,7 @@ def main(): xn = 0.5 * (A + B) fn = f(xn) xp2, fp2, xp, fp, x, fx = xp, fp, x, fx, xn, fn - if FA * fn < 0.0: + if _opposite(FA, fn): B = xn else: A, FA = xn, fn diff --git a/stage14_is_anything_reusable.py b/stage14_is_anything_reusable.py index 0890cb6..ad79aa5 100644 --- a/stage14_is_anything_reusable.py +++ b/stage14_is_anything_reusable.py @@ -23,6 +23,8 @@ Each is run raw and credit-guarded, on the same 199 problems. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from scipy.optimize._tstutils import (_APS_TESTS_DICTS, @@ -84,7 +86,7 @@ def solve(f, a, b, xtol, maxfev, rule, guarded): return a, g.n, True if fb == 0.0: return b, g.n, True - if fa * fb > 0.0: + if _same_sign(fa, fb): raise ValueError("no sign change") A, FA, B, FB = a, fa, b, fb hist = [(a, fa), (b, fb)] @@ -108,7 +110,7 @@ def solve(f, a, b, xtol, maxfev, rule, guarded): x = x_new if fn == 0.0: return x_new, g.n, True - if FA * fn < 0.0: + if _opposite(FA, fn): B, FB = x_new, fn else: A, FA = x_new, fn diff --git a/stage16_blend.py b/stage16_blend.py index 52328e5..64e87b6 100644 --- a/stage16_blend.py +++ b/stage16_blend.py @@ -33,6 +33,8 @@ validated against scipy.optimize.brentq to 0.2% of evaluations. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from scipy.optimize._tstutils import (_APS_TESTS_DICTS, @@ -63,7 +65,7 @@ def brent_blend(f, a, b, xtol, maxfev, mode="blend"): c, fc = a, fa d = e = b - a while True: - if fb * fc > 0.0: + if _same_sign(fb, fc): c, fc = a, fa d = e = b - a if abs(fc) < abs(fb): diff --git a/stage18_bulletproof.py b/stage18_bulletproof.py index 0b10214..f93d281 100644 --- a/stage18_bulletproof.py +++ b/stage18_bulletproof.py @@ -24,6 +24,8 @@ by 7 dB. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math import numpy as np @@ -63,7 +65,7 @@ def falsi_driver(f, a, b, xtol, maxfev, repair): return a, g.n, True if fb == 0.0: return b, g.n, True - if fa * fb > 0.0: + if _same_sign(fa, fb): raise ValueError("no sign change") sg = _Safeguard("credit", abs(b - a), xtol) while abs(b - a) > xtol: @@ -82,7 +84,7 @@ def falsi_driver(f, a, b, xtol, maxfev, repair): fx = g(x_new) if fx == 0.0: return x_new, g.n, True - if fa * fx < 0.0: + if _opposite(fa, fx): if repair == "illinois": fa *= 0.5 elif repair == "pegasus": diff --git a/stage19_modern.py b/stage19_modern.py index 6806596..7c959ce 100644 --- a/stage19_modern.py +++ b/stage19_modern.py @@ -26,6 +26,8 @@ and Galdino's (2011). """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from scipy.optimize._tstutils import (_APS_TESTS_DICTS, @@ -133,7 +135,7 @@ def falsi_modern(f, a, b, xtol, maxfev, variant): return a, g.n, True if fb == 0.0: return b, g.n, True - if fa * fb > 0.0: + if _same_sign(fa, fb): raise ValueError("no sign change") while abs(b - a) > xtol: lo, hi = (a, b) if a < b else (b, a) @@ -156,7 +158,7 @@ def falsi_modern(f, a, b, xtol, maxfev, variant): m = f_moved / (f_moved + fx) if (f_moved + fx) != 0.0 else 0.5 return m if 0.0 < m < 1.0 else 0.5 - if fa * fx < 0.0: + if _opposite(fa, fx): fa *= factor(fa, fb) b, fb = x_new, fx else: diff --git a/stage4_why.py b/stage4_why.py index 292a97c..2eef005 100644 --- a/stage4_why.py +++ b/stage4_why.py @@ -30,6 +30,8 @@ explanation is wrong and must not go into the paper. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from scipy.optimize._tstutils import (_APS_TESTS_DICTS, @@ -157,7 +159,7 @@ def replay_bracket(f, a, b, xs): w0 = hi - lo positions.append((xi - lo) / w0) fi = f(xi) - if flo * fi < 0.0: + if _opposite(flo, fi): hi = xi else: lo, flo = xi, fi diff --git a/stage6b_invariant.py b/stage6b_invariant.py index 4fafb2b..3e1ce22 100644 --- a/stage6b_invariant.py +++ b/stage6b_invariant.py @@ -13,6 +13,8 @@ directly on the worst offenders. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math from scipy.optimize._tstutils import _CHANDRUPATLA_TESTS_DICTS @@ -78,7 +80,7 @@ def replay(f, a, b, similarity="ratio"): xp2, fp2, xp, fp, x, fx = xp, fp, x, fx, x_new, fn if fn == 0.0: break - if FA * fn < 0.0: + if _opposite(FA, fn): B, FB = x_new, fn else: A, FA = x_new, fn diff --git a/stage9_timing.py b/stage9_timing.py index 532a9ef..ed5c2ee 100644 --- a/stage9_timing.py +++ b/stage9_timing.py @@ -27,6 +27,8 @@ brentq would not be comparable and is excluded. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math import time @@ -65,7 +67,7 @@ def ours_inlined(f, a, b, xtol, maxfev): return a, n, True if fb == 0.0: return b, n, True - if fa * fb > 0.0: + if _same_sign(fa, fb): raise ValueError("f(a) and f(b) must straddle zero") A, FA, B = a, fa, b if abs(fa) <= abs(fb): @@ -132,7 +134,7 @@ def ours_inlined(f, a, b, xtol, maxfev): xp2, fp2, xp, fp, x, fx = xp, fp, x, fx, xn, fn if fn == 0.0: return xn, n, True - if FA * fn < 0.0: + if _opposite(FA, fn): B = xn else: A, FA = xn, fn diff --git a/sweep_cap.json b/sweep_cap.json index 2105c86..cbba727 100644 --- a/sweep_cap.json +++ b/sweep_cap.json @@ -1 +1 @@ -[{"label": "pure+dissim+slope.cbrt.derived3_cap.none", "spec": ["pure", "cbrt", "derived3_cap", "none", "x", "slope", "recent", "dissimilar"], "APS": {"total": 8192, "solved": 153, "n": 154, "over": 0, "per": {"aps.01.00": [47, true], "aps.02.00": [47, true], 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false], "fun9.5": [200, false]}}}] \ No newline at end of file diff --git a/sweep_combo.json b/sweep_combo.json index 2e277cc..ece1f0b 100644 --- a/sweep_combo.json +++ b/sweep_combo.json @@ -1 +1 @@ -[{"label": "pure+shape+dissim+slope.cbrt.derived3.both", "spec": ["pure", "cbrt", "derived3", "both", "x", "slope", "shape", "dissimilar"], "APS": {"total": 7132, "solved": 153, "n": 154, "over": 0, "per": {"aps.01.00": [45, true], "aps.02.00": [47, true], "aps.02.01": [48, true], "aps.02.02": [45, true], "aps.02.03": [47, true], "aps.02.04": [48, true], "aps.02.05": [48, true], "aps.02.06": [48, true], "aps.02.07": [50, true], "aps.02.08": [46, true], "aps.02.09": [47, true], "aps.03.00": [52, true], "aps.03.01": [51, true], "aps.03.02": [49, true], "aps.04.00": [47, true], "aps.04.01": [46, true], "aps.04.02": [47, true], "aps.04.03": [48, true], "aps.04.04": [49, true], "aps.04.05": [45, true], "aps.04.06": [48, true], "aps.04.07": [48, true], "aps.04.08": [49, true], "aps.04.09": [46, 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"fun8.1": [62, true], "fun8.2": [54, true], "fun8.3": [63, true], "fun8.4": [66, true], "fun8.5": [67, true], "fun9.1": [60, true], "fun9.2": [55, true], "fun9.3": [63, true], "fun9.4": [65, true], "fun9.5": [82, true]}}}] \ No newline at end of file diff --git a/sweep_full.py b/sweep_full.py index 70f05cd..310196b 100644 --- a/sweep_full.py +++ b/sweep_full.py @@ -136,8 +136,9 @@ def label(spec): if len(spec) > 7 and spec[7] != "distance": tag = f"{tag}+dissim" if len(spec) > 9 and spec[9] != "none": - # the pair (off, on) must be distinguishable in a results file - tag = f"{tag}+ext" + # every extrapolation mode must be distinguishable in a results file + tag = f"{tag}+" + {"steps": "ext", "confirmed": "extC", "pattern": "extP", + "steps+results": "extR"}[spec[9]] if len(spec) > 8 and spec[8] != "none": # the exponent must be visible in the label: (far, none) is false position and # (far, order) is the hypothesis, and a results file that cannot tell them apart @@ -218,6 +219,18 @@ def _preflight_extrap_mode(): raise SystemExit("extrapolate preflight FAILED: refusing to report zeros") +def build_grid_extrap2(smoke): + """PREREG_extrapolation_gates_2026-09-21: the same cells as build_grid_extrap, every + one in all five modes (none, A, G1, G2, G3).""" + for mode in ("confirmed", "pattern", "steps+results"): + x, _n, ok = pure_root(lambda t: t - 1.0, 0.0, 3.0, 1e-10, 100, similarity="ratio", + scale="derived3", guard="project", extrapolate=mode) + if not (ok and abs(x - 1.0) < 1e-8): + raise SystemExit(f"extrapolate={mode} preflight FAILED: refusing to report zeros") + modes = ("none", "steps", "confirmed", "pattern", "steps+results") + return [s[:9] + (m,) for s in build_grid_extrap(smoke) if s[9] == "none" for m in modes] + + def build_grid_extrap(smoke): """PREREG 2026-09-21: step extrapolation (A) inside the method, every cell as a pair (none, steps). Tent with every reading and every guard; all nine functions without @@ -374,10 +387,12 @@ def main(): ordermode = "--order" in sys.argv # slot 1: the similarity read BY PLACE decmode = "--decision" in sys.argv # slot 2: the reading in the DECISION place extmode = "--extrap" in sys.argv # A in the method: step extrapolation + ext2mode = "--extrap2" in sys.argv # gates G1-G3 on the lengthening combomode = "--combo" in sys.argv # modes A and B together pointsmode = "--points" in sys.argv # mode A: triple by shape dirmode = "--direction" in sys.argv # mode B: far end by dissimilarity - specs = (build_grid_extrap(smoke) if extmode else + specs = (build_grid_extrap2(smoke) if ext2mode else + build_grid_extrap(smoke) if extmode else build_grid_decision(smoke) if decmode else build_grid_order(smoke) if ordermode else build_grid_cap(smoke) if capmode else @@ -402,8 +417,9 @@ def main(): # the published sweep_full.json is what verify_article.py checks the paper # against, so the log grid never writes into it - if extmode or decmode or ordermode or capmode or combomode or pointsmode or dirmode: - base = ("sweep_extrap" if extmode else + if ext2mode or extmode or decmode or ordermode or capmode or combomode or pointsmode or dirmode: + base = ("sweep_extrap2" if ext2mode else + "sweep_extrap" if extmode else "sweep_decision" if decmode else "sweep_order" if ordermode else "sweep_cap" if capmode else diff --git a/sweep_gate.json b/sweep_gate.json index e7f012d..d2c82c9 100644 --- a/sweep_gate.json +++ b/sweep_gate.json @@ -1 +1 @@ -[{"label": "gate.cbrt.derived.credit", "spec": ["pure", "cbrt", "derived", "credit", "x", "progress"], "APS": {"total": 7722, "solved": 153, "n": 154, "over": 0, "per": {"aps.01.00": [44, true], "aps.02.00": [45, true], "aps.02.01": [46, true], "aps.02.02": [46, true], "aps.02.03": [47, true], "aps.02.04": [47, true], "aps.02.05": [47, true], "aps.02.06": [47, true], "aps.02.07": [47, true], "aps.02.08": [48, true], "aps.02.09": [48, true], 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"fun8.2": [63, true], "fun8.3": [63, true], "fun8.4": [69, true], "fun8.5": [72, true], "fun9.1": [60, true], "fun9.2": [55, true], "fun9.3": [63, true], "fun9.4": [64, true], "fun9.5": [68, true]}}}] \ No newline at end of file diff --git a/tests/test_extrapolate.py b/tests/test_extrapolate.py index 839c3e4..81f56ff 100644 --- a/tests/test_extrapolate.py +++ b/tests/test_extrapolate.py @@ -73,6 +73,46 @@ def test_on_a_budget_bound_run_extrapolation_changes_the_path_not_the_count(): assert ev["steps"][1] != ev["none"][1] +GATES = ("confirmed", "pattern", "steps+results") + + +@pytest.mark.parametrize("mode", GATES) +@pytest.mark.parametrize("f,a,b", SMOOTH + FLAT) +@pytest.mark.parametrize("guard", ("project", "credit")) +def test_every_gate_keeps_the_guarantee(mode, f, a, b, guard): + x, n, ok = pure_root(f, a, b, XTOL, MAXFEV, similarity="ratio", scale="derived3", + guard=guard, extrapolate=mode) + assert ok and min(a, b) <= x <= max(a, b) + half = math.ceil(math.log2(abs(b - a) / XTOL)) + assert n <= (2 * half + 3 if guard == "project" else half + 4), (mode, n) + + +def test_the_gates_decline_without_history(): + """Each gate needs history to confirm anything; without it the step is untouched.""" + from simroot.pure import _extrapolation_s + # opposite directions -> nothing to confirm, in every mode + for mode in ("steps",) + GATES: + assert _extrapolation_s(mode, 0.1, 1.0, 1.5, None, 1.0, 2.0, None, []) == 0.0 + # same direction, but G1 has no third point, G3 no third value, G2 no history + assert _extrapolation_s("confirmed", 0.1, 1.0, 0.8, None, 1.0, 2.0, None, []) == 0.0 + assert _extrapolation_s("steps+results", 0.1, 1.0, 0.8, None, 1.0, 2.0, None, []) == 0.0 + assert _extrapolation_s("pattern", 0.1, 1.0, 0.8, None, 1.0, 2.0, None, [0.2]) == 0.0 + + +def test_results_after_a_crossing_confirm_nothing(): + """G3: a sign change of f between the last results is a crossing, not a creep.""" + from simroot.pure import _extrapolation_s + assert _extrapolation_s("steps+results", 0.1, 1.0, 0.9, 0.8, 1.0, -2.0, 4.0, []) == 0.0 + assert _extrapolation_s("steps+results", 0.1, 1.0, 0.9, 0.8, 1.0, 2.0, 4.0, []) > 0.0 + + +def test_a_confirmed_geometric_series_is_read_exactly(): + """G1 on three moves in ratio 0.5, 0.5: fully confirmed, s = q2 = 0.5.""" + from simroot.pure import _extrapolation_s + s = _extrapolation_s("confirmed", 0.025, 1.0, 0.95, 0.85, 1.0, 2.0, 4.0, []) + assert s == pytest.approx(0.5) + + def test_unknown_mode_is_refused(): with pytest.raises(ValueError): pure_root(lambda t: t, -1.0, 1.0, XTOL, MAXFEV, extrapolate="aitken") diff --git a/tests/test_revision_points.py b/tests/test_revision_points.py index 4e0c6bb..624f257 100644 --- a/tests/test_revision_points.py +++ b/tests/test_revision_points.py @@ -5,6 +5,8 @@ They are asserted here so a later edit cannot quietly restore the old claim. """ from __future__ import annotations +from simroot.baselines import _opposite, _same_sign # 2026-09-21 fix + import math import os import sys @@ -80,7 +82,7 @@ def test_the_tent_never_clips_under_the_derived_scale(): xn = 0.5 * (A + B) fn = F(xn) xp2, fp2, xp, fp, x, fx = xp, fp, x, fx, xn, fn - if FA * fn < 0.0: + if _opposite(FA, fn): B = xn else: A, FA = xn, fn diff --git a/tests/test_sign_underflow.py b/tests/test_sign_underflow.py new file mode 100644 index 0000000..14a0ec6 --- /dev/null +++ b/tests/test_sign_underflow.py @@ -0,0 +1,46 @@ +"""REGRESSION, 2026-09-21: sign tests by product underflowed on flat functions. + +`FA * fnew < 0.0` with FA ~ -1e-200 and fnew ~ 1e-150 is -0.0, and '-0.0 < 0.0' is +False: the bracket update moved the wrong end, the root left the bracket, and the run +still reported convergence - on fun6.5 (x^19 over [-10, 100]) the proposed rule returned +6.7e-9 and a lengthening mode 1.27e-6 with a claimed 1e-12 bracket. The same product +test sat in our bisection, false-position family, Ridders, Brent and ITP. +""" +from __future__ import annotations + +import pytest + +from simroot.baselines import (_opposite, _same_sign, bisection, illinois, itp, + regula_falsi, ridders) +from simroot.pure import pure_root + +XTOL, MAXFEV = 1e-12, 200 + + +def test_the_product_underflows_and_the_sign_test_does_not(): + u, v = -1e-200, 1e-150 + assert u * v == 0.0 # the defect, pinned + assert _opposite(u, v) and not _same_sign(u, v) + assert _same_sign(-1e-200, -1e-150) and not _opposite(-1e-200, -1e-150) + assert not _opposite(0.0, 1.0) and not _same_sign(0.0, 1.0) + + +def power19(t): + return t ** 19 + + +@pytest.mark.parametrize("guard", ("project", "safe", "credit", "none")) +@pytest.mark.parametrize("extrapolate", ("none", "confirmed")) +def test_the_method_keeps_the_root_in_the_bracket_on_x19(guard, extrapolate): + for sim in ("ratio", "cbrt"): + x, n, ok = pure_root(power19, -10.0, 100.0, XTOL, MAXFEV, similarity=sim, + scale="derived3", guard=guard, extrapolate=extrapolate) + if ok: + assert abs(x) <= XTOL, (sim, guard, extrapolate, x) + + +@pytest.mark.parametrize("method", (bisection, regula_falsi, illinois, ridders, itp)) +def test_the_classical_methods_keep_the_root_on_x19(method): + x, n, ok = method(power19, -10.0, 100.0, XTOL, MAXFEV) + if ok: + assert abs(x) <= XTOL, (method.__name__, x)