##############ECHO OF PROBLEM#################
##############add.ode#################
diff ( y , x , 1 ) = cos(x)+sin(x);
!
glob_max_terms := 30;
!
glob_x_start := 0.0;
glob_x_end := 10.0 ;
glob_y_init[1] := sin(0.0)-cos(0.0);
glob_hmax := 0.5 ;
glob_adjust_h := 1;
glob_look_poles := 0;
glob_max_iter := 200;
glob_log10relerr := -8.0;
glob_log10abserr := -8.0;
!
exact_soln_glob_y := proc(x)
return(sin(x)-cos(x));
end;

!
#######END OF ECHO OF PROBLEM#################
 glob_x[1] :=                   0
 glob_y(exact)       :=                   -1
 glob_y_higher[1,1]  :=                   -1
 add.ode glob_h = 0.01 glob_max_taylor = 30 Iterations = 0 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =   15 Seconds 
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 add.ode glob_h = 0.02 glob_max_taylor = 30 Iterations = 1 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =   7 Seconds 
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 add.ode glob_h = 0.04 glob_max_taylor = 30 Iterations = 2 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =   3 Seconds 
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 add.ode glob_h = 0.08 glob_max_taylor = 30 Iterations = 3 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 add.ode glob_h = 0.16 glob_max_taylor = 30 Iterations = 4 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =   1 Seconds 
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 add.ode glob_h = 0.32 glob_max_taylor = 30 Iterations = 5 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 6 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.5
 glob_y(exact)       :=  -0.3981570232861697
 glob_y_higher[1,1]  :=  -0.3981570232861697
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 7 Current Iterations = 2
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   1
 glob_y(exact)       :=   0.3011686789397568
 glob_y_higher[1,1]  :=   0.3011686789397568
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 8 Current Iterations = 3
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 1.5
 glob_y(exact)       :=   0.9267577849363515
 glob_y_higher[1,1]  :=   0.9267577849363515
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 9 Current Iterations = 4
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   2
 glob_y(exact)       :=    1.325444263372824
 glob_y_higher[1,1]  :=    1.325444263372824
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 10 Current Iterations = 5
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 2.5
 glob_y(exact)       :=     1.39961575965089
 glob_y_higher[1,1]  :=     1.39961575965089
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 11 Current Iterations = 6
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   3
 glob_y(exact)       :=    1.131112504660313
 glob_y_higher[1,1]  :=    1.131112504660313
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 12 Current Iterations = 7
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 3.5
 glob_y(exact)       :=   0.5856734596011765
 glob_y_higher[1,1]  :=   0.5856734596011765
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 13 Current Iterations = 8
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   4
 glob_y(exact)       :=  -0.1031588744443163
 glob_y_higher[1,1]  :=  -0.1031588744443163
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 14 Current Iterations = 9
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 4.5
 glob_y(exact)       :=  -0.7667343182343173
 glob_y_higher[1,1]  :=  -0.7667343182343173
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 15 Current Iterations = 10
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   5
 glob_y(exact)       :=   -1.242586460126365
 glob_y_higher[1,1]  :=   -1.242586460126365
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 16 Current Iterations = 11
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 5.5
 glob_y(exact)       :=   -1.414210099861652
 glob_y_higher[1,1]  :=   -1.414210099861652
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 17 Current Iterations = 12
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   6
 glob_y(exact)       :=   -1.239585784849292
 glob_y_higher[1,1]  :=   -1.239585784849292
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 18 Current Iterations = 13
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 6.5
 glob_y(exact)       :=   -0.761467637640208
 glob_y_higher[1,1]  :=   -0.761467637640208
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 19 Current Iterations = 14
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   7
 glob_y(exact)       := -0.09691565562451555
 glob_y_higher[1,1]  := -0.09691565562451555
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 20 Current Iterations = 15
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 7.5
 glob_y(exact)       :=    0.591364658939713
 glob_y_higher[1,1]  :=    0.591364658939713
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 21 Current Iterations = 16
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   8
 glob_y(exact)       :=    1.134858280431995
 glob_y_higher[1,1]  :=    1.134858280431995
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 22 Current Iterations = 17
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 8.5
 glob_y(exact)       :=    1.400499015308314
 glob_y_higher[1,1]  :=    1.400499015308314
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 23 Current Iterations = 18
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   9
 glob_y(exact)       :=    1.323248747126434
 glob_y_higher[1,1]  :=    1.323248747126434
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 24 Current Iterations = 19
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 9.5
 glob_y(exact)       :=   0.9220210357345692
 glob_y_higher[1,1]  :=   0.9220210357345692
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 25 Current Iterations = 20
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                  10
 glob_y(exact)       :=   0.2950504181870826
 glob_y_higher[1,1]  :=   0.2950504181870826
 add.ode glob_h = 0.5 glob_max_taylor = 30 Iterations = 26 Current Iterations = 21
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                10.5
 glob_y(exact)       :=  -0.4041588319756776
 glob_y_higher[1,1]  :=  -0.4041588319756776
Finished!