##############ECHO OF PROBLEM#################
##############sub.ode#################
diff ( y , x , 1 ) = sin(x)-cos(x);
!
glob_max_terms := 30;
!
glob_x_start := 0.0;
glob_x_end := 10.0 ;
glob_y_init[1] := -cos(0.0)-sin(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(-cos(x)-sin(x));
end;

!
#######END OF ECHO OF PROBLEM#################
 glob_x[1] :=                   0
 glob_y(exact)       :=                   -1
 glob_y_higher[1,1]  :=                   -1
 sub.ode glob_h = 0.01 glob_max_taylor = 30 Iterations = 0 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 sub.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 
 sub.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 
 sub.ode glob_h = 0.08 glob_max_taylor = 30 Iterations = 3 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 
 sub.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 
 sub.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 
 sub.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)       :=   -1.357008100494576
 glob_y_higher[1,1]  :=   -1.357008100494576
 sub.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)       :=   -1.381773290676036
 glob_y_higher[1,1]  :=   -1.381773290676036
 sub.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)       :=   -1.068232188271757
 glob_y_higher[1,1]  :=   -1.068232188271757
 sub.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)       :=  -0.4931505902785393
 glob_y_higher[1,1]  :=  -0.4931505902785393
 sub.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)       :=   0.2026714714429772
 glob_y_higher[1,1]  :=   0.2026714714429772
 sub.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)       :=   0.8488724885405782
 glob_y_higher[1,1]  :=   0.8488724885405782
 sub.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)       :=    1.287239914980416
 glob_y_higher[1,1]  :=    1.287239914980416
 sub.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)       :=     1.41044611617154
 glob_y_higher[1,1]  :=     1.41044611617154
 sub.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)       :=    1.188325917095877
 glob_y_higher[1,1]  :=    1.188325917095877
 sub.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)       :=   0.6752620891999122
 glob_y_higher[1,1]  :=   0.6752620891999122
 sub.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)       := -0.003129448720868094
 glob_y_higher[1,1]  := -0.003129448720868094
 sub.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)       :=  -0.6807547884514401
 glob_y_higher[1,1]  :=  -0.6807547884514401
 sub.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)       :=   -1.191707613815839
 glob_y_higher[1,1]  :=   -1.191707613815839
 sub.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)       :=   -1.410888853062094
 glob_y_higher[1,1]  :=   -1.410888853062094
 sub.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)       :=   -1.284635294609765
 glob_y_higher[1,1]  :=   -1.284635294609765
 sub.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)       :=  -0.8438582128147683
 glob_y_higher[1,1]  :=  -0.8438582128147683
 sub.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)       :=  -0.1964752099386667
 glob_y_higher[1,1]  :=  -0.1964752099386667
 sub.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)       :=   0.4990117766429204
 glob_y_higher[1,1]  :=   0.4990117766429204
 sub.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)       :=    1.072323276658188
 glob_y_higher[1,1]  :=    1.072323276658188
 sub.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)       :=    1.383092639965822
 glob_y_higher[1,1]  :=    1.383092639965822
 sub.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)       :=    1.355232687967663
 glob_y_higher[1,1]  :=    1.355232687967663
Finished!