== fun5.1 = x^9 (flat): 88 evaluations k rho_n=|f_n/f_(n-1)| step as proposed? 0 2.621e+05 CHANGED 1 3.550e-01 yes 2 2.604e-01 yes 3 3.585e-05 yes 4 9.999e-01 yes 5 3.470e-01 yes 6 2.550e-01 yes 7 6.018e+02 yes 8 5.407e-07 yes 9 1.000e+00 yes 10 3.223e-01 yes 11 2.359e-01 yes 12 6.252e-06 yes 13 1.000e+00 yes 14 3.448e-01 yes 15 2.535e-01 yes 16 2.491e+05 yes 17 1.122e-04 yes 18 9.964e-01 yes 19 2.933e-01 yes 20 2.064e-01 yes 21 1.091e-01 yes 22 7.494e-01 yes 23 2.743e-01 yes 24 1.228e-01 yes 25 6.374e-01 yes 26 2.198e-01 yes 27 1.111e-03 yes 28 9.981e-01 yes 29 3.403e-01 yes 30 2.500e-01 yes 31 6.771e+03 CHANGED 32 1.632e-05 yes 33 9.993e-01 yes 34 3.077e-01 yes 35 2.223e-01 yes 36 1.674e-02 yes 37 9.719e-01 yes 38 3.284e-01 yes 39 2.372e-01 yes == fun4.3 = 6(x-2)^5 on a wide bracket (flat): 113 evaluations k rho_n=|f_n/f_(n-1)| step as proposed? 0 3.280e-16 yes 1 1.000e+00 yes 2 3.276e-01 yes 3 2.574e-01 yes 4 2.487e-02 yes 5 9.091e-01 yes 6 2.960e-01 yes 7 2.287e-01 yes 8 1.209e-07 yes 9 1.000e+00 yes 10 3.270e-01 yes 11 2.571e-01 yes 12 2.414e-02 yes 13 9.119e-01 yes 14 2.966e-01 yes 15 2.295e-01 yes 16 1.122e-06 yes 17 1.000e+00 yes 18 3.265e-01 yes 19 2.568e-01 yes 20 2.363e-02 yes 21 9.139e-01 yes 22 2.971e-01 yes 23 2.300e-01 yes 24 3.255e-06 yes 25 1.000e+00 yes 26 3.262e-01 yes 27 2.567e-01 yes 28 2.327e-02 yes 29 9.153e-01 yes 30 2.974e-01 yes 31 2.304e-01 yes 32 5.987e-06 yes 33 1.000e+00 yes 34 3.264e-01 yes 35 2.568e-01 yes 36 2.347e-02 yes 37 9.145e-01 yes 38 2.972e-01 yes 39 2.302e-01 yes == aps.02.09 (canonical): 12 evaluations k rho_n=|f_n/f_(n-1)| step as proposed? 0 1.284e+00 CHANGED 1 1.219e+01 CHANGED 2 2.208e-01 CHANGED 3 3.952e-01 yes 4 4.398e-01 yes 5 9.225e-02 yes 6 1.079e-02 yes 7 4.440e-04 yes 8 4.563e-07 yes 9 4.333e-02 yes