classical(20) = 18.6164; EPS[3000] = 4.9679e-15; EPS[3158] = 3.35421e-15 [F] coarse: last failing interval ends at L = 3158.5 [F] fine: last failing interval ends at L = 3157.9319999999425 [F] verified contiguously for L in [3157.9319999999425, 10000] (13692 intervals, 1 of the 0.5-wide ones bisected) [tail] monotonicity holds for L > 336.781; for all L >= 10000: margin >= 0.9999999090 (main >= 1.0000000000, |corr| <= 4.8e-24, err <= 9.1e-08) [gap] L best eps needed eps shortfall 643 6.948e-05 1.992e-12 3.49e+07x 700 3.106e-05 1.416e-12 2.19e+07x 800 8.066e-06 8.28e-13 9.74e+06x 1000 1.381e-09 3.38e-13 4.09e+03x 1250 1.381e-09 1.381e-13 1e+04x 1500 1.381e-09 6.646e-14 2.08e+04x 1750 2.684e-10 3.583e-14 7.49e+03x 2000 2.475e-12 2.098e-14 118x 2250 7.098e-13 1.309e-14 54.2x 2500 1.097e-13 8.581e-15 12.8x 2750 3.173e-14 5.858e-15 5.42x 3000 4.968e-15 4.134e-15 1.2x 3100 4.968e-15 3.626e-15 1.37x 3150 3.549e-15 3.401e-15 1.04x