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Why the analogy entry is late on the flat families (diagnostics only, method unchanged). At flag moments before entry: unlike-past 118, no-memory 7, m<2 2 - the order is not the bottleneck. The period-4 cycle: the flag rises in the phases whose configuration does NOT recur (the undershoot whose relative step shrinks every cycle, and the crossing); the recurring phases have the flag down and read the true order (fun4 = 6(x-2)^5: m ~ 4.9). The entry demands both at the same state. Remembering the analogy until the next flag: flat entry state 12.9 -> 8.2; problems entered APS 3 -> 8, fun9 0 -> 1.

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Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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vvs
2026-09-21 14:58:20 +01:00
co-authored by Claude Opus 5
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results_diag_analogy_late.txt
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problem exit: n analog: n first flag @ entry @ reasons before entry
fun3.1 46 49 4 11 unlike-past unlike-past unlike-past unlike-past
fun3.2 48 53 4 16 unlike-past unlike-past unlike-past
fun3.3 58 71 4 17 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun3.4 64 82 4 22 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun3.5 77 76 6 12 unlike-past unlike-past unlike-past
fun4.1 46 60 4 18 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun4.2 48 62 4 18 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun4.3 58 68 4 14 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun4.4 65 68 6 13 m<2 unlike-past unlike-past
fun4.5 78 82 6 13 m<2 unlike-past unlike-past
fun5.1 46 49 3 9 no-memory unlike-past unlike-past unlike-past unlike-past
fun5.2 46 50 3 9 no-memory unlike-past unlike-past unlike-past unlike-past
fun5.3 47 50 3 9 no-memory unlike-past unlike-past unlike-past unlike-past
fun5.4 49 52 3 9 no-memory unlike-past unlike-past unlike-past unlike-past
fun5.5 50 53 3 9 no-memory unlike-past unlike-past unlike-past unlike-past
fun6.1 39 58 3 18 no-memory unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun6.2 46 59 3 16 no-memory unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun6.3 47 63 4 22 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun6.4 49 66 4 22 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
fun6.5 50 67 4 22 unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past unlike-past
reasons at flag moments before entry, all 20 problems: {'unlike-past': 118, 'm<2': 2, 'no-memory': 7}
m read at analogous-but-refused moments: 0.92 0.92
diag done
group problems enter: same state analogy remembered
APS 154 3 8
CHA-flat 20 20 20
CHA-fun1 5 1 1
CHA-fun2 5 0 0
CHA-fun7 5 3 3
CHA-fun8 5 0 0
CHA-fun9 5 0 1
flat: mean entry state 12.9 (same state) -> 8.2 (analogy remembered)
diag done