##############ECHO OF PROBLEM#################
##############temp/expt_sin_lin_new_sm_hpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   (  expt  (  sin  (  x  )   ,   (  2.0  *  x  +  1.0  )   )   )   *   (   (  2.0  *  ln  (   sin  (  x  )   )   )   +   (   (   (  2.0  *  x  +  1.0  )   *  cos  (  x  )   )   /  sin  (  x  )   )   )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=0.1 
x_end=0.11 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_iter=1000000 
$glob_max_h=0.00001 
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=10 
$glob_display_interval=0.01 
$glob_look_poles=true 
$glob_max_iter=1000000000 
$glob_max_minutes=30.0 
$glob_subiter_method=3 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
return(expt(sin(x),2.0*x+1.0)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size                      0.0
min_size                      1.0
$glob_desired_digits_correct  10
estimated_h                   1.0e-06
estimated_answer              1.0
desired_abs_gbl_error         1.0e-10
range                         0.009999999999999995
estimated_steps               9999.999999999996
step_error                    1.0000000000000005e-14
est_needed_step_err           1.0000000000000005e-14
opt_iter                        1
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      3.7769694633364675e-133
estimated_step_error          3.7769694633364675e-133
best_h                        2.0e-06
opt_iter                        2
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      1.5397974895984017e-125
estimated_step_error          1.5397974895984017e-125
best_h                        4.0e-06
opt_iter                        3
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      1.0333306545976978e-117
estimated_step_error          1.0333306545976978e-117
best_h                        8.0e-06
opt_iter                        4
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      6.934431113027482e-110
estimated_step_error          6.934431113027482e-110
best_h                        1.6e-05
opt_iter                        5
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      4.653438742818478e-102
estimated_step_error          4.653438742818478e-102
best_h                        1.0e-05
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                             0.1 
y[1] (analytic)                  0.06296962708006738 
y[1] (numeric)                   0.06296962708006738 
absolute error                   0.0 
relative error                   0.0%
Correct digits                   16 
h                                1.0e-05 
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.10000068455822053 
Order of pole (three term test)                   0.004681940735909185 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff  (  y  ,  x  ,  1  )   =   (  expt  (  sin  (  x  )   ,   (  2.0  *  x  +  1.0  )   )   )   *   (   (  2.0  *  ln  (   sin  (  x  )   )   )   +   (   (   (  2.0  *  x  +  1.0  )   *  cos  (  x  )   )   /  sin  (  x  )   )   )   ; 
Iterations                      1001 
Total Elapsed Time              3 Seconds
Elapsed Time(since restart)     3 Seconds
Time to Timeout                 29 Minutes 57.0 Seconds
Percent Done                    100.19999999996122%