[S] alt 3/10,7/10 (liminf 3/10): NSIM=200000 phases_completed=6 phases_sim==fast=True g_sim==g_fast=True UI=True count==floor(g)=True band rho-1/m<delta<=rho: True transit(d)=True
[S] 1/2+(-1)^k/(k+2) (liminf 1/2): NSIM=200000 phases_completed=6 phases_sim==fast=True g_sim==g_fast=True UI=True count==floor(g)=True band rho-1/m<delta<=rho: True transit(d)=True
[S] const 0: NSIM=200000 phases_completed=7 phases_sim==fast=True g_sim==g_fast=True UI=True count==floor(g)=True band rho-1/m<delta<=rho: True transit(d)=True
[S] const 1: NSIM=200000 phases_completed=7 phases_sim==fast=True g_sim==g_fast=True UI=True count==floor(g)=True band rho-1/m<delta<=rho: True transit(d)=True
[S] sqrt2-1 approximants, oscillating (liminf sqrt2-1): NSIM=200000 phases_completed=6 phases_sim==fast=True g_sim==g_fast=True UI=True count==floor(g)=True band rho-1/m<delta<=rho: True transit(d)=True
[S] blocks: 1/5 once every 2^j stages else 4/5 (liminf 1/5): NSIM=200000 phases_completed=6 phases_sim==fast=True g_sim==g_fast=True UI=True count==floor(g)=True band rho-1/m<delta<=rho: True transit(d)=True
[F] alt 3/10,7/10 (liminf 3/10): K=40 phases, last phase end N_K ~ 10^63
    p=2 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.4545 0.2714 0.5455 0.2995 0.4404 0.3000 0.3338 0.3000 0.3625 0.3000 0.5526 0.3000 0.5670 0.3000 0.4475 0.3000 0.5506 0.3000 0.5460 0.3000 0.4424 0.3000 0.5909 0.3000 0.6465 0.3000 0.6448 0.3000 0.5892 0.3000 0.4583 0.3000 0.5961 0.3000 0.3235 0.3000 0.3679 0.3000 0.3446
    p=2 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.4000 0.2609 0.5437 0.2995 0.4404 0.3000 0.3338 0.3000 0.3625 0.3000 0.5526 0.3000 0.5670 0.3000 0.4475 0.3000 0.5506 0.3000 0.5460 0.3000 0.4424 0.3000 0.5909 0.3000 0.6465 0.3000 0.6448 0.3000 0.5892 0.3000 0.4583 0.3000 0.5961 0.3000 0.3235 0.3000 0.3679 0.3000 0.3446
    p=2 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.4000 0.2609 0.5437 0.2995 0.4404 0.3000 0.3338 0.3000 0.3625 0.3000 0.5526 0.3000 0.5670 0.3000 0.4475 0.3000 0.5506 0.3000 0.5460 0.3000 0.4424 0.3000 0.5909 0.3000 0.6465 0.3000 0.6448 0.3000 0.5892 0.3000 0.4583 0.3000 0.5961 0.3000 0.3235 0.3000 0.3679 0.3000 0.3446
[F] alt 3/10,7/10 (liminf 3/10): K=40 phases, last phase end N_K ~ 10^63
    p=3 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.2500 0.5455 0.2824 0.5282 0.2996 0.6895 0.3000 0.6105 0.3000 0.7000 0.3000 0.7000 0.3000 0.6492 0.3000 0.3713 0.3000 0.5211 0.3000 0.5469 0.3000 0.4789 0.3000 0.7000 0.3000 0.6138 0.3000 0.7000 0.3000 0.4752 0.3000 0.5680 0.3000 0.5978 0.3000 0.5795 0.3000 0.5093 0.3000 0.3648
    p=3 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.5000 0.2857 0.5263 0.2996 0.6895 0.3000 0.6105 0.3000 0.7000 0.3000 0.7000 0.3000 0.6492 0.3000 0.3713 0.3000 0.5211 0.3000 0.5469 0.3000 0.4789 0.3000 0.7000 0.3000 0.6138 0.3000 0.7000 0.3000 0.4752 0.3000 0.5680 0.3000 0.5978 0.3000 0.5795 0.3000 0.5093 0.3000 0.3648
    p=3 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.5000 0.2727 0.6811 0.2997 0.3791 0.3000 0.7000 0.3000 0.4765 0.3000 0.4839 0.3000 0.7000 0.3000 0.5809 0.3000 0.6807 0.3000 0.6979 0.3000 0.6526 0.3000 0.5226 0.3000 0.7000 0.3000 0.5154 0.3000 0.6501 0.3000 0.7000 0.3000 0.7000 0.3000 0.7000 0.3000 0.6729 0.3000 0.5765
[F] alt 3/10,7/10 (liminf 3/10): K=40 phases, last phase end N_K ~ 10^63
    p=5 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): nan 0.5000 0.2891 0.6948 0.2999 0.6999 0.3000 0.4278 0.3000 0.5514 0.3000 0.4841 0.3000 0.7000 0.3000 0.6580 0.3000 0.7000 0.3000 0.3965 0.3000 0.5142 0.3000 0.5328 0.3000 0.4710 0.3000 0.3032 0.3000 0.7000 0.3000 0.6349 0.3000 0.7000 0.3000 0.6867 0.3000 0.7000 0.3000 0.5828
    p=5 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.4000 nan 0.2913 0.6943 0.2999 0.6999 0.3000 0.4278 0.3000 0.5514 0.3000 0.4841 0.3000 0.7000 0.3000 0.6580 0.3000 0.7000 0.3000 0.3965 0.3000 0.5142 0.3000 0.5328 0.3000 0.4710 0.3000 0.3032 0.3000 0.7000 0.3000 0.6349 0.3000 0.7000 0.3000 0.6867 0.3000 0.7000 0.3000 0.5828
    p=5 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.5000 0.2875 0.6947 0.2999 0.6999 0.3000 0.5422 0.3000 0.6411 0.3000 0.5873 0.3000 0.3457 0.3000 0.7000 0.3000 0.7000 0.3000 0.5172 0.3000 0.6114 0.3000 0.6263 0.3000 0.5768 0.3000 0.4426 0.3000 0.7000 0.3000 0.7000 0.3000 0.4291 0.3000 0.7000 0.3000 0.3860 0.3000 0.6663
[L] alt 3/10,7/10 (liminf 3/10): per-phase min of delta_A over sampled critical points (k=0..39): 0.0000 0.5000 0.2927 0.3000 0.2999 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000 0.3000  -> L-dimension = half of the liminf
[F] 1/2+(-1)^k/(k+2) (liminf 1/2): K=40 phases, last phase end N_K ~ 10^54
    p=2 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.1818 0.5405 0.2937 0.5881 0.3570 0.5155 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.4472 0.4412 0.5217 0.4474 0.5067 0.4524 0.5455 0.4565 0.5417 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.4781 0.4714 0.5278 0.4730 0.5263 0.4744 0.5250 0.4756
    p=2 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2000 0.5278 0.2942 0.5880 0.3571 0.5155 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.4472 0.4412 0.5217 0.4474 0.5067 0.4524 0.5455 0.4565 0.5417 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.4781 0.4714 0.5278 0.4730 0.5263 0.4744 0.5250 0.4756
    p=2 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2000 0.5278 0.2942 0.5880 0.3571 0.5155 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.4472 0.4412 0.5217 0.4474 0.5067 0.4524 0.5455 0.4565 0.5417 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.4781 0.4714 0.5278 0.4730 0.5263 0.4744 0.5250 0.4756
[F] 1/2+(-1)^k/(k+2) (liminf 1/2): K=40 phases, last phase end N_K ~ 10^54
    p=3 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.2500 0.2727 0.5000 0.2966 0.6659 0.3571 0.5220 0.3889 0.6000 0.4091 0.5833 0.4231 0.5541 0.4333 0.5625 0.4412 0.5556 0.4474 0.5500 0.4524 0.5455 0.4565 0.5417 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.5294 0.4714 0.5278 0.4730 0.5263 0.4744 0.5250 0.4756
    p=3 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.2000 0.4828 0.2970 0.6658 0.3571 0.5220 0.3889 0.6000 0.4091 0.5833 0.4231 0.5541 0.4333 0.5625 0.4412 0.5556 0.4474 0.5500 0.4524 0.5455 0.4565 0.5417 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.5294 0.4714 0.5278 0.4730 0.5263 0.4744 0.5250 0.4756
    p=3 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2500 0.6364 0.2973 0.4866 0.3571 0.6250 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.5521 0.4412 0.5556 0.4474 0.5500 0.4524 0.4959 0.4565 0.5001 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.5294 0.4714 0.5278 0.4730 0.5263 0.4744 0.5113 0.4756
[F] 1/2+(-1)^k/(k+2) (liminf 1/2): K=40 phases, last phase end N_K ~ 10^54
    p=5 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): nan 0.3333 0.4815 0.2973 0.4617 0.3571 0.6250 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.4778 0.4412 0.5556 0.4474 0.5500 0.4524 0.5455 0.4565 0.5417 0.4600 0.5211 0.4630 0.5357 0.4655 0.5333 0.4677 0.5151 0.4697 0.5294 0.4714 0.4964 0.4730 0.5263 0.4744 0.5250 0.4756
    p=5 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.4000 nan 0.4615 0.2978 0.4615 0.3571 0.6250 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.4778 0.4412 0.5556 0.4474 0.5500 0.4524 0.5455 0.4565 0.5417 0.4600 0.5211 0.4630 0.5357 0.4655 0.5333 0.4677 0.5151 0.4697 0.5294 0.4714 0.4964 0.4730 0.5263 0.4744 0.5250 0.4756
    p=5 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2500 0.5588 0.2977 0.5690 0.3571 0.4798 0.3889 0.6000 0.4091 0.5833 0.4231 0.5714 0.4333 0.5625 0.4412 0.5556 0.4474 0.5500 0.4524 0.5455 0.4565 0.5417 0.4600 0.5385 0.4630 0.5357 0.4655 0.5333 0.4677 0.5312 0.4697 0.5294 0.4714 0.5278 0.4730 0.5263 0.4744 0.5250 0.4756
[L] 1/2+(-1)^k/(k+2) (liminf 1/2): per-phase min of delta_A over sampled critical points (k=0..39): 0.0000 0.2857 0.3333 0.2994 0.3000 0.3571 0.3571 0.3889 0.3889 0.4091 0.4091 0.4231 0.4231 0.4333 0.4333 0.4412 0.4412 0.4474 0.4474 0.4524 0.4524 0.4565 0.4565 0.4600 0.4600 0.4630 0.4630 0.4655 0.4655 0.4677 0.4677 0.4697 0.4697 0.4714 0.4714 0.4730 0.4730 0.4744 0.4744 0.4756  -> L-dimension = half of the liminf
[F] const 0: K=40 phases, last phase end N_K ~ 10^51
    p=2 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.1818 0.2162 0.1852 0.1644 0.1426 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
    p=2 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2000 0.1944 0.1866 0.1646 0.1426 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
    p=2 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2000 0.1944 0.1866 0.1646 0.1426 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
[F] const 0: K=40 phases, last phase end N_K ~ 10^51
    p=3 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.2500 0.2727 0.2000 0.1935 0.1646 0.1426 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
    p=3 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.2000 0.2069 0.1943 0.1649 0.1427 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
    p=3 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2500 0.2273 0.1905 0.1655 0.1426 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
[F] const 0: K=40 phases, last phase end N_K ~ 10^51
    p=5 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): nan 0.3333 0.2222 0.1953 0.1661 0.1428 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
    p=5 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.4000 nan 0.2308 0.1890 0.1662 0.1428 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
    p=5 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2500 0.2059 0.1938 0.1654 0.1428 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244
[L] const 0: per-phase min of delta_A over sampled critical points (k=0..39): 0.0000 0.2857 0.2400 0.1983 0.1664 0.1428 0.1250 0.1111 0.1000 0.0909 0.0833 0.0769 0.0714 0.0667 0.0625 0.0588 0.0556 0.0526 0.0500 0.0476 0.0455 0.0435 0.0417 0.0400 0.0385 0.0370 0.0357 0.0345 0.0333 0.0323 0.0312 0.0303 0.0294 0.0286 0.0278 0.0270 0.0263 0.0256 0.0250 0.0244  -> L-dimension = half of the liminf
[F] const 1: K=40 phases, last phase end N_K ~ 10^51
    p=2 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.4545 0.6486 0.7556 0.8250 0.8557 0.8748 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9572 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
    p=2 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.4000 0.6389 0.7537 0.8248 0.8557 0.8748 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9572 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
    p=2 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.4000 0.6389 0.7537 0.8248 0.8557 0.8748 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9572 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
[F] const 1: K=40 phases, last phase end N_K ~ 10^51
    p=3 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.2500 0.5455 0.6667 0.7823 0.8259 0.8560 0.8748 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
    p=3 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.5000 0.6552 0.7814 0.8256 0.8560 0.8749 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
    p=3 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.5000 0.6818 0.7619 0.8273 0.8563 0.8749 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9314 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
[F] const 1: K=40 phases, last phase end N_K ~ 10^51
    p=5 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): nan 0.5000 0.6667 0.7812 0.8029 0.8568 0.8749 0.8889 0.9000 0.9091 0.9167 0.9215 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
    p=5 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.4000 nan 0.6923 0.7795 0.8025 0.8568 0.8749 0.8889 0.9000 0.9091 0.9167 0.9215 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
    p=5 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.5000 0.6765 0.7750 0.8270 0.8568 0.8749 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750 0.9756
[L] const 1: per-phase min of delta_A over sampled critical points (k=0..39): 0.0000 0.5000 0.6667 0.7500 0.8000 0.8333 0.8571 0.8750 0.8889 0.9000 0.9091 0.9167 0.9231 0.9286 0.9333 0.9375 0.9412 0.9444 0.9474 0.9500 0.9524 0.9545 0.9565 0.9583 0.9600 0.9615 0.9630 0.9643 0.9655 0.9667 0.9677 0.9688 0.9697 0.9706 0.9714 0.9722 0.9730 0.9737 0.9744 0.9750  -> L-dimension = half of the liminf
[F] sqrt2-1 approximants, oscillating (liminf sqrt2-1): K=40 phases, last phase end N_K ~ 10^70
    p=2 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.4545 0.3243 0.4148 0.4087 0.6202 0.4100 0.6416 0.4140 0.6433 0.4140 0.4142 0.4142 0.6687 0.4142 0.5058 0.4142 0.5301 0.4142 0.4451 0.4142 0.6017 0.4142 0.6584 0.4142 0.6550 0.4142 0.5948 0.4142 0.4523 0.4142 0.5779 0.4142 0.6321 0.4142 0.6399 0.4142 0.6067 0.4142 0.5233
    p=2 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.4000 0.3333 0.4104 0.4086 0.6202 0.4100 0.6416 0.4140 0.6433 0.4140 0.4142 0.4142 0.6687 0.4142 0.5058 0.4142 0.5301 0.4142 0.4451 0.4142 0.6017 0.4142 0.6584 0.4142 0.6550 0.4142 0.5948 0.4142 0.4523 0.4142 0.5779 0.4142 0.6321 0.4142 0.6399 0.4142 0.6067 0.4142 0.5233
    p=2 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.4000 0.3333 0.4104 0.4086 0.6202 0.4100 0.6416 0.4140 0.6433 0.4140 0.4142 0.4142 0.6687 0.4142 0.5058 0.4142 0.5301 0.4142 0.4451 0.4142 0.6017 0.4142 0.6584 0.4142 0.6550 0.4142 0.5948 0.4142 0.4523 0.4142 0.5779 0.4142 0.6321 0.4142 0.6399 0.4142 0.6067 0.4142 0.5233
[F] sqrt2-1 approximants, oscillating (liminf sqrt2-1): K=40 phases, last phase end N_K ~ 10^70
    p=3 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.2500 0.5455 0.3765 0.6895 0.4095 0.7892 0.4100 0.5809 0.4140 0.4142 0.4140 0.5496 0.4142 0.5229 0.4142 0.7778 0.4142 0.6044 0.4142 0.7083 0.4142 0.7386 0.4142 0.7201 0.4142 0.6470 0.4142 0.4823 0.4142 0.7088 0.4142 0.4396 0.4142 0.5934 0.4142 0.6687 0.4142 0.6988 0.4142 0.6961
    p=3 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.5000 0.3810 0.6883 0.4094 0.7892 0.4100 0.5809 0.4140 0.4142 0.4140 0.5496 0.4142 0.5229 0.4142 0.7778 0.4142 0.6044 0.4142 0.7083 0.4142 0.7386 0.4142 0.7201 0.4142 0.6470 0.4142 0.4823 0.4142 0.7088 0.4142 0.4396 0.4142 0.5934 0.4142 0.6687 0.4142 0.6988 0.4142 0.6961
    p=3 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.5000 0.3636 0.3889 0.4095 0.5786 0.4100 0.7206 0.4140 0.6094 0.4140 0.6997 0.4142 0.6819 0.4142 0.5557 0.4142 0.7362 0.4142 0.4167 0.4142 0.4772 0.4142 0.4402 0.4142 0.7647 0.4142 0.6549 0.4142 0.4175 0.4142 0.6264 0.4142 0.7289 0.4142 0.7791 0.4142 0.7992 0.4142 0.7974
[F] sqrt2-1 approximants, oscillating (liminf sqrt2-1): K=40 phases, last phase end N_K ~ 10^70
    p=5 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): nan 0.5000 0.4444 0.4141 0.4098 0.8407 0.4100 0.8769 0.4140 0.7992 0.4140 0.4597 0.4142 0.5995 0.4142 0.6085 0.4142 0.5120 0.4142 0.8490 0.4142 0.7158 0.4142 0.8722 0.4142 0.6617 0.4142 0.7916 0.4142 0.8523 0.4142 0.8807 0.4142 0.4547 0.4142 0.4403 0.4142 0.8718 0.4142 0.8371
    p=5 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.4000 nan 0.4615 0.4094 0.4098 0.8407 0.4100 0.8769 0.4140 0.7992 0.4140 0.4597 0.4142 0.5995 0.4142 0.6085 0.4142 0.5120 0.4142 0.8490 0.4142 0.7158 0.4142 0.8722 0.4142 0.6617 0.4142 0.7916 0.4142 0.8523 0.4142 0.8807 0.4142 0.4547 0.4142 0.4403 0.4142 0.8718 0.4142 0.8371
    p=5 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.5000 0.3529 0.5250 0.4093 0.8571 0.4100 0.5074 0.4140 0.8394 0.4140 0.5678 0.4142 0.6796 0.4142 0.6868 0.4142 0.6096 0.4142 0.8792 0.4142 0.7726 0.4142 0.4888 0.4142 0.7293 0.4142 0.8333 0.4142 0.8819 0.4142 0.5227 0.4142 0.5638 0.4142 0.5523 0.4142 0.4872 0.4142 0.8697
[L] sqrt2-1 approximants, oscillating (liminf sqrt2-1): per-phase min of delta_A over sampled critical points (k=0..39): 0.0000 0.5000 0.3871 0.4000 0.4098 0.4100 0.4100 0.4100 0.4140 0.4140 0.4140 0.4140 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142 0.4142  -> L-dimension = half of the liminf
[F] blocks: 1/5 once every 2^j stages else 4/5 (liminf 1/5): K=40 phases, last phase end N_K ~ 10^55
    p=2 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.1818 0.2162 0.4148 0.1996 0.4725 0.8000 0.8000 0.2000 0.3511 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.4669 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.3493 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
    p=2 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2000 0.1944 0.4104 0.1997 0.4725 0.8000 0.8000 0.2000 0.3511 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.4669 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.3493 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
    p=2 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2000 0.1944 0.4104 0.1997 0.4725 0.8000 0.8000 0.2000 0.3511 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.4669 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.3493 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
[F] blocks: 1/5 once every 2^j stages else 4/5 (liminf 1/5): K=40 phases, last phase end N_K ~ 10^55
    p=3 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.2500 0.2727 0.2000 0.6895 0.1999 0.4147 0.8000 0.8000 0.2000 0.2007 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.2810 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.2611 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
    p=3 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.3333 0.2000 0.2069 0.6883 0.1999 0.4146 0.8000 0.8000 0.2000 0.2007 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.2810 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.2611 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
    p=3 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2500 0.2273 0.3889 0.1998 0.6097 0.8000 0.8000 0.2000 0.4671 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.5207 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.5074 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
[F] blocks: 1/5 once every 2^j stages else 4/5 (liminf 1/5): K=40 phases, last phase end N_K ~ 10^55
    p=5 K(wreath): hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): nan 0.3333 0.2222 0.4141 0.1999 0.5576 0.8000 0.8000 0.2000 0.5434 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.5776 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.4646 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
    p=5 P=P*: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.4000 nan 0.2308 0.4094 0.1999 0.5576 0.8000 0.8000 0.2000 0.5434 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.5776 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.4646 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
    p=5 F: hold-part hit for all phases k in [p+1,K-2]: True; per-phase min ratio (k=0..39): 0.0000 0.2500 0.2059 0.5250 0.1999 0.6461 0.8000 0.8000 0.2000 0.6347 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.6621 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.5717 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000
[L] blocks: 1/5 once every 2^j stages else 4/5 (liminf 1/5): per-phase min of delta_A over sampled critical points (k=0..39): 0.0000 0.2857 0.2400 0.2500 0.2000 0.2000 0.8000 0.8000 0.2000 0.2000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.2000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000 0.2000 0.2000 0.8000 0.8000 0.8000 0.8000 0.8000 0.8000  -> L-dimension = half of the liminf
[N1] corrupted A (one bit flipped at n=100000) detected by the counting identity: True
[N2] alternating 3/10,7/10: along the unbounded-ratio sequence m_k = M_k - 1 (increasing phases) delta_A = 0.7000 0.7000 0.7000 0.7000 0.7000 0.7000 -> liminf 7/10 != 3/10 (bounded ratio is needed for the upper bound)
[N3] claimed liminf 0.35 for the alternating sequence rejected (late per-phase minima ['0.3000', '0.5961', '0.3000', '0.3235', '0.3000', '0.3679', '0.3000', '0.3446']): True
[W] r=1/sqrt2: stages=3000 resets=414 clean stages=1483, in last third=501; q_k <= r at all clean stages: True; last third: min q_k=0.7000, max q_k=1.0000, max q_k at clean stages=0.7000
[W] r=3/10: stages=3000 resets=997 clean stages=1481, in last third=499; q_k <= r at all clean stages: True; last third: min q_k=0.2857, max q_k=1.0000, max q_k at clean stages=0.2857
[W] r=0: stages=3000 resets=1481 clean stages=1480, in last third=500; q_k <= r at all clean stages: True; last third: min q_k=0.0000, max q_k=1.0000, max q_k at clean stages=0.0000
[W] r=1: stages=3000 resets=53 clean stages=1486, in last third=495; q_k <= r at all clean stages: True; last third: min q_k=0.9091, max q_k=1.0000, max q_k at clean stages=0.9167
[W] r=1/sqrt2 twisted: stages=3000 resets=931 clean stages=1480, in last third=500; q_k <= r at all clean stages: True; last third: min q_k=0.6667, max q_k=1.0000, max q_k at clean stages=0.6667
ALL_OK=True
