Article: the similarity in the step is earned, not scaffolding; literature in place.

S-ablation of A' (server): A' with each of the nine similarity functions in the step - tent 4443 on the paper protocol (13032 over 855 problems), the nearest other function e^-|z| 4988 (+12%; +9% over six corpora), quadratic ones 18410-18422 (+315%); ranking as the contraction law predicts; guarantee held with every S. The audit of section 7 rerun on the regenerated sweeps (APS unchanged: triple by shape -493 with the tent, +250 with 1/sqrt(1+z^2); defect -283 vs +215).

Text: abstract and section 3 no longer call the similarity scaffolding - the tent making the step Newton's is a property of the similarity chosen; a paragraph in section 7 on the audit; Table 9a; new 8.6 'What is known, and what is new' - Lagouanelle (the order estimate of 7.1 / 10.5), Rall and Hansen-Patrick (8.1), the log-log slope / COC / ACOC (8.2, formula 6), Schroeder and Traub (the split 7 = false position on sign(f)|f|^(1/m)), Brent's acceptance condition (half), Dekker/Brent (tolerance step); what we found no counterpart for is the decision layer by similarity and analogy and the step set by a similarity whose form is decisive. References 13-19. verify_article: Table 9a, the percentages and the audit numbers added; server 446 OK, 0 BAD; regression x2 1226 passed, 0 failed.

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

results_aprime_s.txt

@@ -0,0 +1,9 @@
+ratio       APS  2438 CHA  2005 both  4443 solved 193 over 0
+exp_abs     APS  2919 CHA  2069 both  4988 solved 193 over 0
+rational    APS  3058 CHA  2428 both  5486 solved 193 over 0
+ratio_soft  APS  5900 CHA  2460 both  8360 solved 193 over 0
+sqrt        APS  9612 CHA  3106 both 12718 solved 193 over 0
+cbrt        APS 13619 CHA  3588 both 17207 solved 193 over 0
+exp_sq      APS 14658 CHA  3752 both 18410 solved 193 over 0
+cosine      APS 14667 CHA  3745 both 18412 solved 193 over 0
+rat_sq      APS 14670 CHA  3752 both 18422 solved 193 over 0