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sim-numerics/results_analyze_flatexit.txt
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vvsandClaude Opus 5 1842eb0765 Flat regime: exit by midpoint similarity (flatstickexit), one judgment at entry and exit (flatjudge), entry by analogy (flatanalog).
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>
2026-09-21 14:55:45 +01:00

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===== flatstickexit
tent, 3-point, pairs (no gate -> flat gate) APS CHA both flat fun3-6
none 2806->3125 4104->2503 6910->5628 2707->1057 solved 193 over 0
none +G2 2782->3175 3863->2508 6645->5683 2474->1057 solved 193 over 0
step 3036->3161 3524->2492 6560->5653 2111->1057 solved 193 over 0
step +G2 3089->3193 3529->2499 6618->5692 2106->1057 solved 193 over 0
bracket 7260->7226 3604->3604 10864->10830 1730->1730 solved 193 over 0
bracket +G2 6837->6874 3650->3650 10487->10524 1717->1717 solved 193 over 0
both 7239->7179 3515->3515 10754->10694 1529->1529 solved 193 over 0
both +G2 7130->7150 3463->3463 10593->10613 1504->1504 solved 193 over 0
project 2806->3125 3220->2503 6026->5628 1823->1057 solved 193 over 0
project +G2 2782->3175 3169->2508 5951->5683 1780->1057 solved 193 over 0
safe 3036->3161 3390->2492 6426->5653 1977->1057 solved 193 over 0
safe +G2 3089->3193 3392->2499 6481->5692 1969->1057 solved 193 over 0
credit 3568->4232 3020->2810 6588->7042 1044->951 solved 193 over 0
credit +G2 3799->4575 3064->2881 6863->7456 1044->951 solved 193 over 0
VERDICTS
proposed rule APS 2806->3125 (Z2 ✗) CHA 3220->2503 (Z1 ✓) Z3 ✓ (0 viol, 0 cells <193) Z4 ✓ both 5628 vs Chandrupatla APS 19/19/115 p=6.1e-18 not accepted
proposed rule + G2 APS 2782->3175 (Z2 ✗) CHA 3169->2508 (Z1 ✓) Z3 ✓ (0 viol, 0 cells <193) Z4 ✓ both 5683 vs Chandrupatla APS 19/20/114 p=1.1e-17 not accepted
nine functions, projection, no gate -> flat gate, both sets:
cbrt 18003 -> 17989
cosine 19741 -> 15076
exp_abs 6652 -> 6349
exp_sq 19786 -> 13379
rat_sq 19793 -> 13636
ratio 6026 -> 5628
ratio_soft 9352 -> 8903
rational 6823 -> 7148
sqrt 13388 -> 13233
===== flatstickmid
tent, 3-point, pairs (no gate -> flat gate) APS CHA both flat fun3-6
none 2806->6897 4104->3019 6910->9916 2707->1057 solved 193 over 0
none +G2 2782->6918 3863->3055 6645->9973 2474->1057 solved 193 over 0
step 3036->6663 3524->3019 6560->9682 2111->1057 solved 193 over 0
step +G2 3089->6709 3529->3055 6618->9764 2106->1057 solved 193 over 0
bracket 7260->7214 3604->3604 10864->10818 1730->1730 solved 193 over 0
bracket +G2 6837->6886 3650->3650 10487->10536 1717->1717 solved 193 over 0
both 7239->7241 3515->3515 10754->10756 1529->1529 solved 193 over 0
both +G2 7130->7196 3463->3463 10593->10659 1504->1504 solved 193 over 0
project 2806->6897 3220->3019 6026->9916 1823->1057 solved 193 over 0
project +G2 2782->6918 3169->3055 5951->9973 1780->1057 solved 193 over 0
safe 3036->6663 3390->3019 6426->9682 1977->1057 solved 193 over 0
safe +G2 3089->6709 3392->3055 6481->9764 1969->1057 solved 193 over 0
credit 3568->6837 3020->3002 6588->9839 1044->951 solved 193 over 0
credit +G2 3799->6953 3064->3002 6863->9955 1044->951 solved 193 over 0
VERDICTS
proposed rule APS 2806->6897 (Z2 ✗) CHA 3220->3019 (Z1 ✓) Z3 ✓ (0 viol, 0 cells <193) Z4 ✓ both 9916 vs Chandrupatla APS 9/4/140 p=2.3e-31 not accepted
proposed rule + G2 APS 2782->6918 (Z2 ✗) CHA 3169->3055 (Z1 ✓) Z3 ✓ (0 viol, 0 cells <193) Z4 ✓ both 9973 vs Chandrupatla APS 9/4/140 p=2.3e-31 not accepted
nine functions, projection, no gate -> flat gate, both sets:
cbrt 18003 -> 12694
cosine 19741 -> 10825
exp_abs 6652 -> 10621
exp_sq 19786 -> 10810
rat_sq 19793 -> 10793
ratio 6026 -> 9916
ratio_soft 9352 -> 10447
rational 6823 -> 10634
sqrt 13388 -> 11332