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chasing Chandrupatla found a property of the BENCHMARK: on all five fun7 problems f vanishes identically near the declared root (f(0+t)=0 up to 3.2e-2), every method stops at a point where f(x)=0 exactly and is scored a failure by the |x-root|<=1e-6 rule — so 1000 evaluations of EVERY wide-bracket total are an artefact and the universal '40 of 45' is a scoring statement. Re-scored: 45/45 for everyone but Brent, ranking unchanged, gap to Chandrupatla 253 (17%) and diffuse across 8 families. Written into the paper with its reproducing scripts; pdflatex clean, verifier green

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Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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vvs
2026-09-20 23:57:49 +01:00
co-authored by Claude Opus 5
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commit 6b5870f815
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results_fun7_root.txt
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fun7.1 declared root +0
ours returned x=+0.0248491106 after 11 evals f(x)=+0.000e+00 |x-root|=0.0248 f IS ZERO THERE
chandrupatla returned x=-0.008282706312 after 8 evals f(x)=-0.000e+00 |x-root|=0.00828 f IS ZERO THERE
f is identically zero at least up to root + 0.0316
fun7.2 declared root +0
ours returned x=-0.02750094689 after 11 evals f(x)=-0.000e+00 |x-root|=0.0275 f IS ZERO THERE
chandrupatla returned x=-0.00805799861 after 8 evals f(x)=-0.000e+00 |x-root|=0.00806 f IS ZERO THERE
f is identically zero at least up to root + 0.0316
fun7.3 declared root +0
ours returned x=+0.005929390833 after 11 evals f(x)=+0.000e+00 |x-root|=0.00593 f IS ZERO THERE
chandrupatla returned x=-0.02563062503 after 11 evals f(x)=-0.000e+00 |x-root|=0.0256 f IS ZERO THERE
f is identically zero at least up to root + 0.0316
fun7.4 declared root +0
ours returned x=+0.01889661575 after 11 evals f(x)=+0.000e+00 |x-root|=0.0189 f IS ZERO THERE
chandrupatla returned x=-0.001938145803 after 18 evals f(x)=-0.000e+00 |x-root|=0.00194 f IS ZERO THERE
f is identically zero at least up to root + 0.0316
fun7.5 declared root +0
ours returned x=+0.008107544271 after 13 evals f(x)=+0.000e+00 |x-root|=0.00811 f IS ZERO THERE
chandrupatla returned x=+0.02036778628 after 19 evals f(x)=+0.000e+00 |x-root|=0.0204 f IS ZERO THERE
f is identically zero at least up to root + 0.0316