
== 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
