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Flat regime: exit by midpoint similarity (flatstickexit), one judgment at entry and exit (flatjudge), entry by analogy (flatanalog).

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PREREG_flat_exit: NOT accepted - APS 2806 -> 3125, CHA 3220 -> 2503 (the exit is earned: APS 6897 without it).
PREREG_flat_judge: NOT accepted (smoke) - APS 3009, CHA 2486: at the model's point f is small by construction, the judgment cannot tell flat from simple there.
PREREG_flat_analogy: ACCEPTED with G2. Entry = unkept promise AND the (xi, phi) configuration nearer to its own past than to the line AND the pair's similarity exponent m >= 2. Projection + G2: APS 2782 -> 2780 (below Chandrupatla 2787, per problem 95/20/38 p=8e-7), CHA 3169 -> 2625, guarantee holds. Without G2: APS 2806 -> 2807 (fails by one call), CHA 2635. Simple roots are spared exactly (cost unchanged); flat families 1823 -> 1238, entry comes late. Goal (below Chandrupatla on both) NOT met: CHA 2625 vs 2441, per problem 9/6/25.
Server regression x2: 1052 passed, 1 failed = the expected paper-number check.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
This commit is contained in:
vvs
2026-09-21 14:55:45 +01:00
co-authored by Claude Opus 5
parent 42bfab4330
commit 1842eb0765
7 changed files with 321 additions and 5 deletions
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results_analyze_flatanalog.txt
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tent, 3-point, pairs (no gate -> flat gate) APS CHA both flat fun3-6
none 2806->2807 4104->2635 6910->5442 2707->1238 solved 193 over 0
none +G2 2782->2780 3863->2625 6645->5405 2474->1234 solved 193 over 0
step 3036->3035 3524->2650 6560->5685 2111->1237 solved 193 over 0
step +G2 3089->3089 3529->2661 6618->5750 2106->1238 solved 193 over 0
bracket 7260->7260 3604->3604 10864->10864 1730->1730 solved 193 over 0
bracket +G2 6837->6837 3650->3650 10487->10487 1717->1717 solved 193 over 0
both 7239->7239 3515->3515 10754->10754 1529->1529 solved 193 over 0
both +G2 7130->7130 3463->3463 10593->10593 1504->1504 solved 193 over 0
project 2806->2807 3220->2635 6026->5442 1823->1238 solved 193 over 0
project +G2 2782->2780 3169->2625 5951->5405 1780->1234 solved 193 over 0
safe 3036->3035 3390->2650 6426->5685 1977->1237 solved 193 over 0
safe +G2 3089->3089 3392->2661 6481->5750 1969->1238 solved 193 over 0
credit 3568->3568 3020->2960 6588->6528 1044->1014 solved 193 over 0
credit +G2 3799->3799 3064->3034 6863->6833 1044->1014 solved 193 over 0
VERDICTS
proposed rule APS 2806->2807 (Z2 ✗) CHA 3220->2635 (Z1 ✓) Z3 ✓ (0 viol, 0 cells <193) Z4 ✓ both 5442 vs Chandrupatla APS 87/24/42 p=9.2e-05 not accepted
proposed rule + G2 APS 2782->2780 (Z2 ✓) CHA 3169->2625 (Z1 ✓) Z3 ✓ (0 viol, 0 cells <193) Z4 ✓ both 5405 vs Chandrupatla APS 95/20/38 p=8.2e-07 ACCEPTED
nine functions, projection, no gate -> flat gate, both sets:
cbrt 18003 -> 17853
cosine 19741 -> 18885
exp_abs 6652 -> 5969
exp_sq 19786 -> 18877
rat_sq 19793 -> 18873
ratio 6026 -> 5442
ratio_soft 9352 -> 9002
rational 6823 -> 6177
sqrt 13388 -> 13212
flatanalog.ratio.derived3.project APS vs Chandrupatla 87/24/42 p=9.2e-05
flatanalog.ratio.derived3.project CHA vs Chandrupatla 9/6/25 p=0.009
pure+extP+flatanalog.ratio.derived3.project APS vs Chandrupatla 95/20/38 p=8.2e-07
pure+extP+flatanalog.ratio.derived3.project CHA vs Chandrupatla 9/6/25 p=0.009