##############ECHO OF PROBLEM################# ##############complex_sing01.ode################# diff ( y , x , 1 ) = 2.0 * x / (x * x + 1.0) /( x * x + 1.0); ! glob_max_terms := 30; ! glob_x_start := -2.0; glob_x_end := 1.0 ; glob_y_init[1] := exact_soln_glob_y(glob_x_start); glob_hmax := 0.5 ; glob_adjust_h := 1; glob_look_poles := 1; glob_max_iter := 40; glob_log10relerr := -8.0; glob_log10abserr := -8.0; ! exact_soln_glob_y := proc(x) return -1.0/ (x * x + 1.0); end; ! #######END OF ECHO OF PROBLEM################# glob_x[1] := -2 glob_y(exact) := -0.2 glob_y_higher[1,1] := -0.2 complex_sing01.ode glob_h = 0.01 glob_max_taylor = 30 Iterations = 0 Current Iterations = 1 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 4 Seconds Optimized Time Remaining = Unknown Time to Timeout = 14 Minutes 59 Seconds complex_sing01.ode glob_h = 0.02 glob_max_taylor = 30 Iterations = 1 Current Iterations = 1 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 2 Seconds Optimized Time Remaining = Unknown Time to Timeout = 14 Minutes 59 Seconds complex_sing01.ode glob_h = 0.04 glob_max_taylor = 30 Iterations = 2 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 complex_sing01.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 complex_sing01.ode glob_h = 0.16 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 complex_sing01.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 glob_x[1] := -1.68 glob_y(exact) := -0.2616157388028464 glob_y_higher[1,1] := -0.2616157388028464 complex_sing01.ode glob_h = 0.32 glob_max_taylor = 30 Iterations = 6 Current Iterations = 2 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.95509590557599 r_order of singularity = 0.9999999999999996 glob_x[1] := -1.36 glob_y(exact) := -0.3509264458169568 glob_y_higher[1,1] := -0.3509264458169568 complex_sing01.ode glob_h = 0.32 glob_max_taylor = 30 Iterations = 7 Current Iterations = 3 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.688075827680735 r_order of singularity = 0.9999999999999999 glob_x[1] := -1.04 glob_y(exact) := -0.4803996925441968 glob_y_higher[1,1] := -0.4803996925441968 complex_sing01.ode glob_h = 0.32 glob_max_taylor = 30 Iterations = 8 Current Iterations = 4 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.442775103749715 r_order of singularity = 0.9999999999999999 glob_x[1] := -0.72 glob_y(exact) := -0.6585879873551106 glob_y_higher[1,1] := -0.6585879873551106 complex_sing01.ode glob_h = 0.144278 glob_max_taylor = 30 Iterations = 9 Current Iterations = 5 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 0.5555738024781226 r_order of singularity = 0.9999999999999999 glob_x[1] := -0.5757224896250285 glob_y(exact) := -0.7510572717369978 glob_y_higher[1,1] := -0.7503308902860361 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 10 Current Iterations = 6 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 0.4443309769723288 r_order of singularity = 0.9999999999999999 glob_x[1] := -0.5201651093772163 glob_y(exact) := -0.7870472541773968 glob_y_higher[1,1] := -0.7857615146494805 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 11 Current Iterations = 7 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.127196407470061 r_order of singularity = 1 glob_x[1] := -0.464607729129404 glob_y(exact) := -0.8224628812075531 glob_y_higher[1,1] := -0.8211771416796367 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 12 Current Iterations = 8 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.102660574232516 r_order of singularity = 1 glob_x[1] := -0.4090503488815917 glob_y(exact) := -0.8566615201427172 glob_y_higher[1,1] := -0.8553757806148009 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 13 Current Iterations = 9 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.080426854497866 r_order of singularity = 1 glob_x[1] := -0.3534929686337795 glob_y(exact) := -0.8889226451348905 glob_y_higher[1,1] := -0.8876369056069741 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 14 Current Iterations = 10 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.060640032656472 r_order of singularity = 1 glob_x[1] := -0.2979355883859672 glob_y(exact) := -0.9184713278798709 glob_y_higher[1,1] := -0.9171855883519545 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 15 Current Iterations = 11 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.04343932014607 r_order of singularity = 1 glob_x[1] := -0.242378208138155 glob_y(exact) := -0.9445125370679561 glob_y_higher[1,1] := -0.9432267975400397 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 16 Current Iterations = 12 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.028954418708751 r_order of singularity = 1 glob_x[1] := -0.1868208278903427 glob_y(exact) := -0.9662750472985198 glob_y_higher[1,1] := -0.9649893077706034 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 17 Current Iterations = 13 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.017301342638273 r_order of singularity = 1 glob_x[1] := -0.1312634476425304 glob_y(exact) := -0.9830617548469391 glob_y_higher[1,1] := -0.9817760153190227 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 18 Current Iterations = 14 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.008578253130119 r_order of singularity = 1 glob_x[1] :=-0.07570606739471818 glob_y(exact) := -0.9943012532062394 glob_y_higher[1,1] := -0.9930155136783231 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 19 Current Iterations = 15 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.002861609914535 r_order of singularity = 1 glob_x[1] :=-0.02014868714690592 glob_y(exact) := -0.9995941951506859 glob_y_higher[1,1] := -0.9983084556227696 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 20 Current Iterations = 16 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.000202964199639 r_order of singularity = 1 glob_x[1] := 0.03540869310090634 glob_y(exact) := -0.9987477944375999 glob_y_higher[1,1] := -0.9974620549096836 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 21 Current Iterations = 17 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.0006266914025 r_order of singularity = 1 glob_x[1] := 0.0909660733487186 glob_y(exact) := -0.9917930843030122 glob_y_higher[1,1] := -0.9905073447750959 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 22 Current Iterations = 18 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.004128889386459 r_order of singularity = 1 glob_x[1] := 0.1465234535965309 glob_y(exact) := -0.9789821131330139 glob_y_higher[1,1] := -0.9776963736050975 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 23 Current Iterations = 19 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.010677556124531 r_order of singularity = 1 glob_x[1] := 0.2020808338443431 glob_y(exact) := -0.9607655409893572 glob_y_higher[1,1] := -0.9594798014614408 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 24 Current Iterations = 20 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.020214028234872 r_order of singularity = 1 glob_x[1] := 0.2576382140921554 glob_y(exact) := -0.937754263839323 glob_y_higher[1,1] := -0.9364685243114067 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 25 Current Iterations = 21 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.03265553277005 r_order of singularity = 1 glob_x[1] := 0.3131955943399676 glob_y(exact) := -0.9106709394686139 glob_y_higher[1,1] := -0.9093851999406976 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 26 Current Iterations = 22 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.047898602114711 r_order of singularity = 1 glob_x[1] := 0.3687529745877799 glob_y(exact) := -0.8802981521290568 glob_y_higher[1,1] := -0.8790124126011405 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 27 Current Iterations = 23 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.065823041722844 r_order of singularity = 1 glob_x[1] := 0.4243103548355922 glob_y(exact) := -0.8474294197691923 glob_y_higher[1,1] := -0.8461436802412759 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 28 Current Iterations = 24 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.086296127775804 r_order of singularity = 1 glob_x[1] := 0.4798677350834044 glob_y(exact) := -0.8128276934525224 glob_y_higher[1,1] := -0.811541953924606 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 29 Current Iterations = 25 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 59 Seconds complex estimate of poles used 2 radius of convergence = 1.109176741179726 r_order of singularity = 1 glob_x[1] := 0.5354251153312167 glob_y(exact) := -0.7771939860202023 glob_y_higher[1,1] := -0.775908246492286 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 30 Current Iterations = 26 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.13431920292634 r_order of singularity = 1 glob_x[1] := 0.5909824955790289 glob_y(exact) := -0.7411468287687961 glob_y_higher[1,1] := -0.7398610892408797 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 31 Current Iterations = 27 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.161576648388223 r_order of singularity = 1 glob_x[1] := 0.6465398758268412 glob_y(exact) := -0.7052117491512152 glob_y_higher[1,1] := -0.7039260096232989 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 32 Current Iterations = 28 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.190803850780718 r_order of singularity = 1 glob_x[1] := 0.7020972560746535 glob_y(exact) := -0.6698190328607532 glob_y_higher[1,1] := -0.6685332933328368 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 33 Current Iterations = 29 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.221859466955 r_order of singularity = 1 glob_x[1] := 0.7576546363224657 glob_y(exact) := -0.6353076490361982 glob_y_higher[1,1] := -0.6340219095082818 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 34 Current Iterations = 30 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.254607726718167 r_order of singularity = 1 glob_x[1] := 0.813212016570278 glob_y(exact) := -0.6019332468643536 glob_y_higher[1,1] := -0.6006475073364373 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 35 Current Iterations = 31 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.28891961886469 r_order of singularity = 0.9999999999999999 glob_x[1] := 0.8687693968180903 glob_y(exact) := -0.5698784158910793 glob_y_higher[1,1] := -0.5685926763631629 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 36 Current Iterations = 32 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.32467364465655 r_order of singularity = 1 glob_x[1] := 0.9243267770659025 glob_y(exact) := -0.5392637997393559 glob_y_higher[1,1] := -0.5379780602114396 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 37 Current Iterations = 33 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.361756215627834 r_order of singularity = 1 glob_x[1] := 0.9798841573137148 glob_y(exact) := -0.5101590622416159 glob_y_higher[1,1] := -0.5088733227136995 complex_sing01.ode glob_h = 0.0555574 glob_max_taylor = 30 Iterations = 38 Current Iterations = 34 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = Optimized Time Remaining = Time to Timeout = 14 Minutes 58 Seconds complex estimate of poles used 2 radius of convergence = 1.400061770692425 r_order of singularity = 1 glob_x[1] := 1.035441537561527 glob_y(exact) := -0.4825930665073424 glob_y_higher[1,1] := -0.481307326979426 Finished!