##############ECHO OF PROBLEM#################
##############temp/expt_sin_sin_newpostode.ode#################
diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) );
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=1.8 
x_end=1.81 
$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=10000000 
$glob_max_minutes=3 
$glob_subiter_method=3 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
return(expt(sin(2.0*x+3.0),sin(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
desired_abs_gbl_error         1.0e-10
range                         0.010000000000000009
estimated_steps               10000.00000000001
step_error                    9.99999999999999e-15
est_needed_step_err           9.99999999999999e-15
opt_iter                        1
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      1.1465727285494697e-137
estimated_step_error          1.1465727285494697e-137
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      7.694495942714912e-130
estimated_step_error          7.694495942714912e-130
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      5.163657427235714e-122
estimated_step_error          5.163657427235714e-122
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      3.46522970949505e-114
estimated_step_error          3.46522970949505e-114
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      2.325419748129803e-106
estimated_step_error          2.325419748129803e-106
best_h                        1.0e-05
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                             1.8 
y[1] (analytic)                  0.6766027626496453 
y[1] (numeric)                   0.6766027626496453 
absolute error                   0.0 
relative error                   0.0%
Correct digits                   16 
h                                1.0e-05 
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq  1      0.1656035063514653 
Order of pole (ratio test)                        Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1    0.20359459246361047 
Order of pole (six term test)                     -0.0005816085461329834 
Finished!
diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) );
Iterations                       1000 
Total Elapsed Time              3.0 Seconds
Elapsed Time(since restart)     3.0 Seconds
Time to Timeout                 2 Minutes 57.0 Seconds
Percent Done                    100.10000000065568%