broyden: good step: x=         2          2 
broyden: good step: x=       1.5        1.5 
broyden: good step: x=      1.33       1.33 
broyden: good step: x=       1.2        1.2 
broyden: good step: x=      1.12       1.13 
broyden: good step: x=      1.08       1.08 
broyden: good step: x=      1.05       1.05 
broyden: good step: x=      1.03       1.03 
broyden: good step: x=      1.02       1.02 
broyden: good step: x=      1.01       1.01 
newton: good step: x=         2          2 
newton: good step: x=       1.5        1.5 
newton: good step: x=      1.25       1.25 
newton: good step: x=      1.12       1.13 
newton: good step: x=      1.06       1.06 
newton: good step: x=      1.03       1.03 
newton: good step: x=      1.02       1.02 
newton: good step: x=      1.01       1.01