Valeri's decisions (1) competitors from the library, (2) variant a. (1) Chandrupatla is scipy.optimize.elementwise.find_root, Brent is brentq, no more per-problem best_of. Our Chandrupatla stopped on a bracket twice as wide as every other method (the factor the protocol corrects for ITP); fixed (+0.5*xtol) in baselines.py and in the two copies found by grep (stage16_blend, stage19_modern) and the traced mirror, and pinned: ours == library on every problem. Regenerating sweep_full.json changed exactly three rows - chandrupatla APS 2785->2787, CHA 2423->2441, brent CHA 4099->4115 - and nothing else (diff_sweeps.py: 0 unexpected).

(2) The proposed method is again the scheduled projection (2806/3220/6026), its budget multiplier DECLARED as the one free constant: the canonical total is the same for every multiplier 1.25-4, the wide-bracket one is not. The earned projection is the constant-free variant (3568/3020/6588). What the old tables hid: problem by problem the proposed rule beats Chandrupatla on the canonical set 87/24/42, exact sign test p = 9e-5, while trailing him by 0.7% in total; on the wide-bracket set he is genuinely stronger (26 to 9, p = 0.006). Gap decomposition recomputed with the library: 244 (was 262), 160 of it on the flat families (two thirds), fun1 58 (a quarter, not a third as the abstract said).

Also corrected on the way: the 'subsumed by Chandrupatla' pin claimed he is better on the worst single problem - true only with the looser tolerance (84 against the credit rule's 83 once fixed); §8.3 still called zero slack degenerate, which Table 1a refutes; §5.2's Brent figure is our pure-Python implementation and now says so. verify_article.py 286/286, 802 tests pass twice.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

diag_who_caps_us.py

@@ -21,6 +21,7 @@ import math
 
 from scipy.optimize._tstutils import _CHANDRUPATLA_TESTS_DICTS
 
+from simroot.baselines import CHANDRUPATLA_BASELINE
 from simroot.baselines import bisection, chandrupatla, chandrupatla_scipy
 from simroot.pure import pure_root
 from sweep_full import ACC, MAXFEV, XTOL
@@ -42,7 +43,7 @@ def main():
                                and (abs(float(x) - root) <= ACC or f(float(x)) == 0.0))
         _xb, nb, cb = bisection(f, a, b, XTOL, MAXFEV)
         best = None
-        for impl in (chandrupatla, chandrupatla_scipy):
+        for impl in (CHANDRUPATLA_BASELINE,):   # the library alone (2026-09-21)
             try:
                 xc, nc, cc = impl(f, a, b, XTOL, MAXFEV)
             except Exception: