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Why the translation limit fired late on the fun9.5 flank (diagnostics only). The limit itself reads correctly: at x = 10.89 the pair has lx 1.09, lf 1.5e-3 -> m = inf, and the regime is entered at the next flag (10.39), after which the flank is halved (5.19, 2.60, 1.30). It fires late because the flank configurations do NOT recur from 20.25 to 10.89: (1) the near-zero step 20.2502 -> 20.2501 (overconfident S ~ 1 from a slope dominated by f(81) = 1.5e35) makes the next triples degenerate (xi ~ 0, then -1.7e7) and pollutes the memory; (2) our three-point step on exp is not a translation - it alternates long/short (xi -1.43, -0.46, -4.10, -0.03, -13.9) and first repeats at lag 5 (state 10 ~ state 5). 9 evaluations from 20.25 to 10.39 where one halving would do: ~8 of the +10 gap on fun9.5.

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Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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vvs
2026-09-21 18:49:19 +01:00
co-authored by Claude Opus 5
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results_diag_fun9_flank.txt
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== fun9.5 defect+flatanalogmempt+exp entries 1
0 x 0.0002 f -1.00e+00 . (no configuration)
1 x 40.5001 f +3.88e+17 . xi +0.500 phi +0.000 (no memory)
2 x 20.2502 f +6.23e+08 . xi +0.500 phi +1.000 ratio 2.828 lx 0.500 lf 1.000e+00 m none
3 x 20.2501 f +6.23e+08 F xi -0.000 phi -0.000 ratio 220240183.906 lx 0.000 lf 1.044e-16 m none
4 x 19.1406 f +2.05e+08 F xi -17066711.549 phi -10310042.635 ratio 4.173 lx 17066711.549 lf 1.031e+07 m none
5 x 17.5571 f +4.22e+07 . xi -1.427 phi -0.391 ratio 2.019 lx 24356112.465 lf 4.030e+06 m none
6 x 16.8250 f +2.03e+07 F xi -0.462 phi -0.134 ratio 2.074 lx 11259747.544 lf 5.403e+05 m none
7 x 13.8231 f +1.01e+06 . xi -4.101 phi -0.880 ratio 1.194 lx 1.896 lf 1.180e-01 m none
8 x 13.7422 f +9.29e+05 F xi -0.027 phi -0.004 ratio 1.684 lx 1244198.603 lf 1.933e+03 m none
9 x 12.6156 f +3.01e+05 F xi -13.927 phi -8.022 ratio 2.909 lx 0.375 lf 3.259e-02 m none
10 x 10.8903 f +5.36e+04 . xi -1.531 phi -0.394 ratio 0.130 lx 1.090 lf 1.516e-03 m inf
11 x 10.3887 f +3.25e+04 F xi -0.291 phi -0.085 ratio 1.229 lx 0.685 lf 9.668e-04 m none
12 x 5.1945 f +1.78e+02 . xi -10.357 phi -1.527 ratio 1.007 lx 1.730 lf 1.677e-03 m none
13 x 2.5973 f +1.14e+01 . xi -0.500 phi -0.005 ratio 0.384 lx 3.548 lf 7.623e-06 m inf
14 x 1.2988 f +1.66e+00 . xi -0.500 phi -0.059 ratio 0.171 lx 0.500 lf 5.854e-02 m 4.09
15 x 0.6094 f -1.88e-01 . xi -0.531 phi -0.189 ratio 0.364 lx 0.942 lf 8.437e-08 m 271.20
16 x 0.9527 f +5.82e-01 . xi +0.498 phi +0.417 ratio 7.241 lx 0.008 lf 1.982e-18 m none
17 x 0.7352 f +6.75e-02 . xi +0.633 phi +0.668 ratio 11.558 lx 0.633 lf 6.684e-01 m none
18 x 0.7039 f +1.36e-03 . xi -0.144 phi -0.129 ratio 13.745 lx 0.063 lf 3.125e-06 m none
19 x 0.7032 f -2.25e-06 . xi -0.021 phi -0.021 ratio 86.525 lx 0.008 lf 1.744e-08 m none
20 x 0.7032 f +1.38e-11 . xi +0.002 phi +0.002 ratio 7135.750 lx 16.646 lf 5.551e-08 m none
21 x 0.7032 f +1.74e-16 . xi +0.000 phi +0.000 ratio 165597.494 lx 0.000 lf 3.401e-13 m none