Outcome of PREREG A: PASSED on every declared criterion, both configurations. Paired, per one evaluation from the same state, bracket halvings: flat families 0.26 -> 2.87 (proposed) and 0.36 -> 1.16 (reading 3), i.e. above bisection's 1.00 (A1, A3); canonical set 8.21 -> 10.05 and 12.15 -> 12.96, no harm (A2); fun1 7.36 -> 9.01 and 7.28 -> 11.46. S > 0 on about half the canonical states (A4). Step A leaves the bracket on 6-28% of the states where it acts; excluded here, projected in a real method. One-step replay only - the whole-run effect needs the rule in the method, a separate pre-registration.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
2026-09-21 11:47:42 +01:00
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+== proposed (projection)
+   group            states    S>0 A lands out paired n   ours  step A  bisect   (bracket halvings per eval)
+   APS                1408  48.9%       23.1%      530   8.21   10.05    1.10
+   CHA fun1             51  64.7%       33.3%       22   7.36    9.01    1.00
+   CHA flat fun3-6    1640  87.1%        6.4%     1337   0.26    2.87    1.00
+   CHA other           177  62.1%        7.3%      102   4.20    5.66    1.00
+
+== reading (3), as for m>=2
+   group            states    S>0 A lands out paired n   ours  step A  bisect   (bracket halvings per eval)
+   APS                1103  51.3%       21.6%      444  12.15   12.96    1.12
+   CHA fun1             37  51.4%       15.8%       16   7.28   11.46    1.00
+   CHA flat fun3-6     620  68.2%       28.1%      304   0.36    1.16    1.00
+   CHA other           129  52.7%       14.7%       58   7.40    9.38    1.00