##############ECHO OF PROBLEM################# ##############erf.ode################# diff(y,x,1) = erf(x); ! glob_max_terms := 30; ! glob_x_start := 0.1; glob_x_end := 1.0 ; glob_y_init[1] := exact_soln_glob_y(glob_x_start); glob_hmax := 0.0001; 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 evalf(x*erf(x)+ exp(-x*x)/sqrt(Pi)); end; ! #######END OF ECHO OF PROBLEM################# glob_x[1] := 0.1 glob_y(exact) := 0.569822094996297 glob_y_higher[1,1] := 0.569822094996297 erf.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 erf.ode glob_h = 0.0001 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 glob_x[1] := 0.1001 glob_y(exact) := 0.5698333468736196 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 2 Current Iterations = 2 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 2 Minutes 14 Seconds Optimized Time Remaining = 2 Minutes 14 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1002 glob_y(exact) := 0.5698446099222347 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 3 Current Iterations = 3 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 2 Minutes 19 Seconds Optimized Time Remaining = 2 Minutes 19 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1003 glob_y(exact) := 0.5698558841419186 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 4 Current Iterations = 4 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 32 Seconds Optimized Time Remaining = 1 Minutes 32 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1004 glob_y(exact) := 0.5698671695324472 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 5 Current Iterations = 5 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 9 Seconds Optimized Time Remaining = 1 Minutes 9 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1005 glob_y(exact) := 0.5698784660935965 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 6 Current Iterations = 6 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 24 Seconds Optimized Time Remaining = 1 Minutes 24 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1006 glob_y(exact) := 0.5698897738251418 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 7 Current Iterations = 7 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 10 Seconds Optimized Time Remaining = 1 Minutes 10 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1007 glob_y(exact) := 0.5699010927268588 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 8 Current Iterations = 8 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 19 Seconds Optimized Time Remaining = 1 Minutes 19 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1008 glob_y(exact) := 0.5699124227985223 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 9 Current Iterations = 9 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 27 Seconds Optimized Time Remaining = 1 Minutes 27 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1009 glob_y(exact) := 0.5699237640399075 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 10 Current Iterations = 10 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 32 Seconds Optimized Time Remaining = 1 Minutes 32 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.101 glob_y(exact) := 0.569935116450789 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 11 Current Iterations = 11 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 37 Seconds Optimized Time Remaining = 1 Minutes 37 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1011 glob_y(exact) := 0.5699464800309413 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 12 Current Iterations = 12 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 54 Seconds Optimized Time Remaining = 1 Minutes 54 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1012 glob_y(exact) := 0.5699578547801387 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 13 Current Iterations = 13 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 56 Seconds Optimized Time Remaining = 1 Minutes 56 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1013 glob_y(exact) := 0.5699692406981552 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 14 Current Iterations = 14 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 2 Minutes 9 Seconds Optimized Time Remaining = 2 Minutes 9 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1014 glob_y(exact) := 0.5699806377847647 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 15 Current Iterations = 15 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 2 Minutes Optimized Time Remaining = 2 Minutes Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1015 glob_y(exact) := 0.5699920460397407 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 16 Current Iterations = 16 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 52 Seconds Optimized Time Remaining = 1 Minutes 52 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1016 glob_y(exact) := 0.5700034654628567 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 17 Current Iterations = 17 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 53 Seconds Optimized Time Remaining = 1 Minutes 53 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1017 glob_y(exact) := 0.5700148960538858 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 18 Current Iterations = 18 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 55 Seconds Optimized Time Remaining = 1 Minutes 55 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1018 glob_y(exact) := 0.5700263378126011 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 19 Current Iterations = 19 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 48 Seconds Optimized Time Remaining = 1 Minutes 48 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1019 glob_y(exact) := 0.5700377907387752 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 20 Current Iterations = 20 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 43 Seconds Optimized Time Remaining = 1 Minutes 43 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.102 glob_y(exact) := 0.5700492548321806 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 21 Current Iterations = 21 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 45 Seconds Optimized Time Remaining = 1 Minutes 45 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1021 glob_y(exact) := 0.5700607300925898 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 22 Current Iterations = 22 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 40 Seconds Optimized Time Remaining = 1 Minutes 40 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1022 glob_y(exact) := 0.5700722165197746 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 23 Current Iterations = 23 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 35 Seconds Optimized Time Remaining = 1 Minutes 35 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1023 glob_y(exact) := 0.5700837141135071 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 24 Current Iterations = 24 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 37 Seconds Optimized Time Remaining = 1 Minutes 37 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1024 glob_y(exact) := 0.5700952228735589 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 25 Current Iterations = 25 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 39 Seconds Optimized Time Remaining = 1 Minutes 39 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1025 glob_y(exact) := 0.5701067427997014 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 26 Current Iterations = 26 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 40 Seconds Optimized Time Remaining = 1 Minutes 40 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1026 glob_y(exact) := 0.5701182738917057 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 27 Current Iterations = 27 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 47 Seconds Optimized Time Remaining = 1 Minutes 47 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1027 glob_y(exact) := 0.570129816149343 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 28 Current Iterations = 28 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 43 Seconds Optimized Time Remaining = 1 Minutes 43 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1028 glob_y(exact) := 0.5701413695723839 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 29 Current Iterations = 29 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 39 Seconds Optimized Time Remaining = 1 Minutes 39 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1029 glob_y(exact) := 0.570152934160599 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 30 Current Iterations = 30 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 36 Seconds Optimized Time Remaining = 1 Minutes 36 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.103 glob_y(exact) := 0.5701645099137587 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 31 Current Iterations = 31 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 37 Seconds Optimized Time Remaining = 1 Minutes 37 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1031 glob_y(exact) := 0.570176096831633 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 32 Current Iterations = 32 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 43 Seconds Optimized Time Remaining = 1 Minutes 43 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1032 glob_y(exact) := 0.5701876949139919 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 33 Current Iterations = 33 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 44 Seconds Optimized Time Remaining = 1 Minutes 44 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1033 glob_y(exact) := 0.5701993041606051 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 34 Current Iterations = 34 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 45 Seconds Optimized Time Remaining = 1 Minutes 45 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1034 glob_y(exact) := 0.5702109245712419 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 35 Current Iterations = 35 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 51 Seconds Optimized Time Remaining = 1 Minutes 51 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1035 glob_y(exact) := 0.5702225561456718 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 36 Current Iterations = 36 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 51 Seconds Optimized Time Remaining = 1 Minutes 51 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1036 glob_y(exact) := 0.5702341988836635 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 37 Current Iterations = 37 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 2 Minutes Optimized Time Remaining = 2 Minutes Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1037 glob_y(exact) := 0.5702458527849861 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 38 Current Iterations = 38 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 57 Seconds Optimized Time Remaining = 1 Minutes 57 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1038 glob_y(exact) := 0.570257517849408 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 39 Current Iterations = 39 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 53 Seconds Optimized Time Remaining = 1 Minutes 53 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.1039 glob_y(exact) := 0.5702691940766976 glob_y_higher[1,1] := 0.569822094996297 erf.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 40 Current Iterations = 40 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 1 Minutes 54 Seconds Optimized Time Remaining = 1 Minutes 54 Seconds Time to Timeout = 14 Minutes 59 Seconds glob_x[1] := 0.104 glob_y(exact) := 0.5702808814666232 glob_y_higher[1,1] := 0.569822094996297 Finished! Maximum Iterations Reached!