##############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;
max_terms=40;
!
/* 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;
/* END SECOND INPUT BLOCK */
/* BEGIN OVERRIDE  BLOCK */
glob_desired_digits_correct=10;
glob_display_interval=0.01;
glob_look_poles=true;
glob_max_iter=100000000;
glob_max_minutes=10.0;
glob_subiter_method=3;
/* END OVERRIDE BLOCK */
!
/* BEGIN USER DEF BLOCK */
double exact_soln_y (double x) { 
return(expt(sin(2.0*x+3.0),sin(x+1.0)));
}
/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size                       = 0                                           
min_size                       = 1                                           
glob_desired_digits_correct    = 10                                          
estimated_h                    = 1e-06                                       
estimated_answer               = 1                                           
desired_abs_gbl_error          = 1e-10                                       
range                          = 0.01000000000000001                         
estimated_steps                = 10000.00000000001                           
step_error                     = 2.499999999999999e-14                       
est_needed_step_err            = 2.499999999999999e-14                       
opt_iter                       = 1                                  
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
min_size                       = 0.6766027626496453                          
min_size                       = 1                                           
glob_desired_digits_correct    = 10                                          
estimated_h                    = 1e-06                                       
estimated_answer               = 1                                           
desired_abs_gbl_error          = 1e-10                                       
range                          = 0.01000000000000001                         
estimated_steps                = 10000.00000000001                           
step_error                     = 2.499999999999999e-14                       
est_needed_step_err            = 2.499999999999999e-14                       
hn_div_ho                      = 0.5                                         
hn_div_ho_2                    = 0.25                                        
hn_div_ho_3                    = 0.125                                       
max_estimated_step_error       = 8.329430301256176e-190                      
estimated_step_error           = 8.329430301256176e-190                      
Double H and LOOP
opt_iter                       = 2                                  
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
min_size                       = 0.6766027626496453                          
min_size                       = 1                                           
glob_desired_digits_correct    = 10                                          
estimated_h                    = 2e-06                                       
estimated_answer               = 1                                           
desired_abs_gbl_error          = 1e-10                                       
range                          = 0.01000000000000001                         
estimated_steps                = 5000.000000000005                           
step_error                     = 3.535533905932736e-14                       
est_needed_step_err            = 3.535533905932736e-14                       
hn_div_ho                      = 0.5                                         
hn_div_ho_2                    = 0.25                                        
hn_div_ho_3                    = 0.125                                       
max_estimated_step_error       = 5.723923339350064e-179                      
estimated_step_error           = 5.723923339350064e-179                      
Double H and LOOP
opt_iter                       = 3                                  
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1   = 0.1584                                       
Order of pole (three term test)                    = 5.783e-05                                    
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE ACCURACY
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                              = 1.8                                          
y[1] (analytic)                   = 0.6766027626496453                           
y[1] (numeric)                    = 0.6766027626496453                           
absolute error                    = 0                                            
relative error                    = 0                                          % 
Desired digits                    = 10                                  
Estimated correct digits          = 12                                  
Correct digits                    = 16                                  
h                                 = 2e-06                                        
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
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                       = 5000                                
Total Elapsed Time               = 0.0 Seconds
Elapsed Time(since restart)      = 0.0 Seconds
Time to Timeout                  = 10 Minutes 0.0 Seconds
Percent Done                     = 100                                        %