##############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=0.001 
$glob_look_poles=true 
$glob_max_iter=10000000 
$glob_max_minutes=3 
$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
opt_iter                        1
$glob_desired_digits_correct  10
desired_abs_gbl_error         1.0e-10
range                         0.009999999999999995
estimated_steps               999.9999999999994
step_error                    1.0000000000000007e-13
est_needed_step_err           1.0000000000000007e-13
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
value3                        3.746559098987943e-107
max_value3                    3.746559098987943e-107
value3                        3.746559098987943e-107
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 POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10100999999999961 
y[1] (analytic)                  0.06343632922612004 
y[1] (numeric)                   0.06343632922614797 
absolute error                   2.79359868571305e-14 
relative error                   4.4037836359591564e-11%
Correct digits                   12 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10200999999999923 
y[1] (analytic)                  0.06389676059307803 
y[1] (numeric)                   0.06389676059313391 
absolute error                   5.588585150206882e-14 
relative error                   8.74627304785823e-11%
Correct digits                   12 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10300999999999884 
y[1] (analytic)                  0.06435557604347533 
y[1] (numeric)                   0.06435557604355906 
absolute error                   8.372469384454462e-14 
relative error                   1.3009703120050467e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10400999999999845 
y[1] (analytic)                  0.06481280091834679 
y[1] (numeric)                   0.06481280091845838 
absolute error                   1.1159129176263605e-13 
relative error                   1.7217477131288043e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10500999999999806 
y[1] (analytic)                  0.0652684601556806 
y[1] (numeric)                   0.06526846015581995 
absolute error                   1.3936074516607277e-13 
relative error                   2.135192784289145e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10600999999999768 
y[1] (analytic)                  0.06572257829957534 
y[1] (numeric)                   0.06572257829974243 
absolute error                   1.6708856520608606e-13 
relative error                   2.5423312585891914e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10700999999999729 
y[1] (analytic)                  0.06617517950912487 
y[1] (numeric)                   0.06617517950931953 
absolute error                   1.9466372958021338e-13 
relative error                   2.9416426373784343e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.1080099999999969 
y[1] (analytic)                  0.06662628756704009 
y[1] (numeric)                   0.0666262875672624 
absolute error                   2.2230828289337978e-13 
relative error                   3.3366452043375644e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.10900999999999651 
y[1] (analytic)                  0.06707592588801875 
y[1] (numeric)                   0.06707592588826858 
absolute error                   2.4982793611627585e-13 
relative error                   3.7245544181284373e-10%
Correct digits                   11 
h                                1.0e-05 
NO POLE 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              6.0 Seconds
Elapsed Time(since restart)     6.0 Seconds
Time to Timeout                 2 Minutes 54.0 Seconds
Percent Done                    100.19999999996122%