similarity in two more places MEASURED: triple by shape gives APS 2527 — below the published 2806 and below EVERY baseline including chandrupatla 2785 — and far-end by dissimilarity gives CHA 2683 (the ITP target met) with 5511 over both sets (project target 6026 beaten, ITP-oracle 5871 passed). Guarantee intact everywhere, 193/199. Neither mode is inert (38.6% / 26.9% of steps changed). A+B do NOT compose: 2884/2859 is worse than either alone — select, never weight, and never assume composability
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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sweep: 63 configurations x 199 problems (FULL)
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10/63 done, 1s elapsed
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30/63 done, 2s elapsed
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40/63 done, 2s elapsed
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60/63 done, 3s elapsed
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63/63 done, 3s elapsed
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wrote sweep_points.json (3s total)
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====================================================================================
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APS: 154 problems (top 20 of 63)
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====================================================================================
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configuration solved total fev over 2x
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------------------------------------------------------------------------------------
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pure+shape+slope.ratio.derived3.step 153/154 2527 0
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pure+shape+slope.ratio.derived3.safe 153/154 2527 0
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pure+shape+slope.ratio.derived3.none 153/154 2675 0
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pure+shape+slope.ratio.derived3.project 153/154 2675 0
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pure+shape+slope.exp_abs.derived3.step 153/154 3095 0
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pure+shape+slope.exp_abs.derived3.safe 153/154 3095 0
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pure+shape+slope.exp_abs.derived3.none 153/154 3190 0
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pure+shape+slope.exp_abs.derived3.project 153/154 3190 0
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pure+shape+slope.rational.derived3.none 153/154 3539 0
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pure+shape+slope.rational.derived3.step 153/154 3562 0
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pure+shape+slope.rational.derived3.safe 153/154 3562 0
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pure+shape+slope.rational.derived3.project 153/154 3563 0
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pure+shape+slope.ratio.derived3.credit 153/154 3755 0
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pure+shape+slope.exp_abs.derived3.credit 153/154 4923 0
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pure+shape+slope.ratio_soft.derived3.step 153/154 5523 0
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pure+shape+slope.ratio_soft.derived3.safe 153/154 5523 0
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pure+shape+slope.ratio_soft.derived3.project 153/154 5613 0
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pure+shape+slope.ratio_soft.derived3.none 153/154 5613 0
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pure+shape+slope.ratio_soft.derived3.both 153/154 5707 0
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pure+shape+slope.ratio_soft.derived3.bracket 153/154 5718 0
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====================================================================================
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CHA: 45 problems (top 20 of 63)
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====================================================================================
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configuration solved total fev over 2x
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------------------------------------------------------------------------------------
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pure+shape+slope.ratio.derived3.credit 40/45 3021 0
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pure+shape+slope.cbrt.derived3.credit 40/45 3045 0
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pure+shape+slope.ratio_soft.derived3.credit 40/45 3047 0
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pure+shape+slope.exp_abs.derived3.credit 40/45 3087 0
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pure+shape+slope.ratio.derived3.safe 40/45 3108 0
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pure+shape+slope.ratio.derived3.step 40/45 3109 0
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pure+shape+slope.cosine.derived3.credit 40/45 3130 0
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pure+shape+slope.exp_sq.derived3.credit 40/45 3130 0
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pure+shape+slope.rat_sq.derived3.credit 40/45 3130 0
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pure+shape+slope.rational.derived3.credit 40/45 3130 0
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pure+shape+slope.sqrt.derived3.credit 40/45 3130 0
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pure+shape+slope.exp_abs.derived3.step 40/45 3244 0
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pure+shape+slope.exp_abs.derived3.safe 40/45 3244 0
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pure+shape+slope.ratio_soft.derived3.both 40/45 3272 0
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pure+shape+slope.ratio_soft.derived3.bracket 40/45 3310 0
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pure+shape+slope.rational.derived3.step 40/45 3323 0
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pure+shape+slope.rational.derived3.safe 40/45 3323 0
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pure+shape+slope.ratio_soft.derived3.step 40/45 3477 0
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pure+shape+slope.ratio_soft.derived3.safe 40/45 3477 0
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pure+shape+slope.ratio.derived3.project 40/45 3498 0
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====================================================================================
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THE STAGE-0C LAW ACROSS THE GRID
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====================================================================================
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scale=derived3 slope c=1 (linear) mean total 6287 mean solved 193.0/199
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scale=derived3 slope c=0 (quadratic) mean total 22016 mean solved 193.0/199
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