##############ECHO OF PROBLEM#################
##############arccos.ode#################
diff(y,x,1) = arccos(x);
!
glob_max_terms := 30;
!
glob_x_start := 0.1;
glob_x_end := 0.8 ;
glob_y_init[1] := exact_soln_glob_y(glob_x_start);
glob_hmax := 0.1 ;
glob_adjust_h := 1;
glob_look_poles := 0;
glob_max_iter := 40;
glob_log10relerr := -8.0;
glob_log10abserr := -8.0;
!
exact_soln_glob_y := proc(x)
  return(x*arccos(x)-sqrt(1.0-x*x))
end;

!
#######END OF ECHO OF PROBLEM#################
 glob_x[1] :=                 0.1
 glob_y(exact)       :=  -0.8479245465432863
 glob_y_higher[1,1]  :=  -0.8479245465432863
 arccos.ode glob_h = 0.01 glob_max_taylor = 30 Iterations = 0 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 
 arccos.ode glob_h = 0.02 glob_max_taylor = 30 Iterations = 1 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 arccos.ode glob_h = 0.04 glob_max_taylor = 30 Iterations = 2 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 arccos.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 
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 4 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] :=                 0.2
 glob_y(exact)       :=  -0.7059082159123581
 glob_y_higher[1,1]  :=  -0.7059082159123581
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 5 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] :=                 0.3
 glob_y(exact)       :=  -0.5741080995830959
 glob_y_higher[1,1]  :=  -0.5741080995830959
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 6 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] :=                 0.4
 glob_y(exact)       :=  -0.4528033467002046
 glob_y_higher[1,1]  :=  -0.4528033467002046
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 7 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] :=                 0.5
 glob_y(exact)       :=  -0.3424266281861398
 glob_y_higher[1,1]  :=  -0.3424266281861398
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 8 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] :=                 0.6
 glob_y(exact)       :=  -0.2436228691990327
 glob_y_higher[1,1]  :=  -0.2436228691990327
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 9 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] :=                 0.7
 glob_y(exact)       :=  -0.1573636617253845
 glob_y_higher[1,1]  :=  -0.1573636617253845
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 10 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] :=                 0.8
 glob_y(exact)       := -0.08519911296537249
 glob_y_higher[1,1]  := -0.08519911296537249
 arccos.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 11 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] :=                 0.9
 glob_y(exact)       := -0.02996576373743117
 glob_y_higher[1,1]  := -0.02996576373741785
Finished!