##############ECHO OF PROBLEM################# ##############temp/sinpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # ELIMINATED in preodein.rb # Digits:=32; ELIMINATED in preodein.rb max_terms=40 # ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb x_start=0.1 x_end=1.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_max_h=0.5 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(2.0 - cos(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 0.9 estimated_steps 900000.0000000001 step_error 1.111111111111111e-16 est_needed_step_err 1.111111111111111e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.674790358513323e-258 estimated_step_error 2.674790358513323e-258 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.8381019356630983e-247 estimated_step_error 1.8381019356630983e-247 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2631340286366648e-236 estimated_step_error 1.2631340286366648e-236 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.68019090245767e-226 estimated_step_error 8.68019090245767e-226 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.964981703152477e-215 estimated_step_error 5.964981703152477e-215 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.099104124878063e-204 estimated_step_error 4.099104124878063e-204 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.8168827832596326e-193 estimated_step_error 2.8168827832596326e-193 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.9357469409419875e-182 estimated_step_error 1.9357469409419875e-182 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3302349378720002e-171 estimated_step_error 1.3302349378720002e-171 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.141301713349235e-161 estimated_step_error 9.141301713349235e-161 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.281850342480742e-150 estimated_step_error 6.281850342480742e-150 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.3168486886830224e-139 estimated_step_error 4.3168486886830224e-139 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.9665075861781404e-128 estimated_step_error 2.9665075861781404e-128 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0385571507328838e-117 estimated_step_error 2.0385571507328838e-117 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.400870196540969e-106 estimated_step_error 1.400870196540969e-106 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.626491451141893e-96 estimated_step_error 9.626491451141893e-96 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.614976839488256e-85 estimated_step_error 6.614976839488256e-85 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.545363089364321e-74 estimated_step_error 4.545363089364321e-74 best_h 0.262144 opt_iter 19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.122965903337428e-63 estimated_step_error 3.122965903337428e-63 best_h 0.524288 opt_iter 20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.1452441186565946e-52 estimated_step_error 2.1452441186565946e-52 best_h 0.5 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.0049958347219743 y[1] (numeric) 1.0049958347219743 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09933466539753058 Order of pole (three term test) 32.00996671107938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 1.0060439020433032 y[1] (numeric) 1.0060439020433032 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043474 Order of pole (three term test) 32.012051275334706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 1.0071913641461339 y[1] (numeric) 1.0071913641461339 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1188513132135674 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 1.008438106285212 y[1] (numeric) 1.0084381062852121 absolute error 2.220446049250313e-16 relative error 2.201866465984492e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1285402759460776 Order of pole (three term test) 32.01680501093274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 1.0097840037873629 y[1] (numeric) 1.009784003787363 absolute error 2.220446049250313e-16 relative error 2.1989316932355442e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1381778242820568 Order of pole (three term test) 32.01947228084461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 1.0112289220639576 y[1] (numeric) 1.011228922063958 absolute error 4.440892098500626e-16 relative error 4.391579395728311e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066977 Order of pole (three term test) 32.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 1.0127727166243732 y[1] (numeric) 1.0127727166243734 absolute error 2.220446049250313e-16 relative error 2.1924426011901082e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.157283280308059 Order of pole (three term test) 32.025382290958774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 1.0144152330904395 y[1] (numeric) 1.0144152330904397 absolute error 2.220446049250313e-16 relative error 2.188892651469431e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1667435460704072 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 1.0161563072118787 y[1] (numeric) 1.0161563072118789 absolute error 2.220446049250313e-16 relative error 2.1851422202384934e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754505 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 1.0179957648827296 y[1] (numeric) 1.01799576488273 absolute error 4.440892098500626e-16 relative error 4.362387596978073e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649137 Order of pole (three term test) 32.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 1.0199334221587584 y[1] (numeric) 1.0199334221587588 absolute error 4.440892098500626e-16 relative error 4.3540999853707865e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432537 Order of pole (three term test) 32.03946950299855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 1.0219690852758516 y[1] (numeric) 1.0219690852758523 absolute error 6.661338147750939e-16 relative error 6.51814056190643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2038802265297852 Order of pole (three term test) 32.04345552984384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 1.0241025506693946 y[1] (numeric) 1.024102550669395 absolute error 4.440892098500626e-16 relative error 4.336374414454764e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299986 Order of pole (three term test) 32.04762416839002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 1.0263336049946252 y[1] (numeric) 1.0263336049946257 absolute error 4.440892098500626e-16 relative error 4.3269479600873856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275995 Order of pole (three term test) 32.05197375123723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 1.0286620251479706 y[1] (numeric) 1.028662025147971 absolute error 4.440892098500626e-16 relative error 4.31715372973141e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2308895877707416 Order of pole (three term test) 32.05650253861035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 1.0310875782893554 y[1] (numeric) 1.0310875782893558 absolute error 4.440892098500626e-16 relative error 4.3069979621598864e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23971276930210172 Order of pole (three term test) 32.06120871905481 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 1.0336100218654867 y[1] (numeric) 1.0336100218654873 absolute error 6.661338147750939e-16 relative error 6.44473061099812e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2484400689218686 Order of pole (three term test) 32.06609041016117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 1.0362291036341094 y[1] (numeric) 1.03622910363411 absolute error 6.661338147750939e-16 relative error 6.428441475335214e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2570679958265568 Order of pole (three term test) 32.07114565931809 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 1.0389445616892292 y[1] (numeric) 1.0389445616892297 absolute error 4.440892098500626e-16 relative error 4.274426434534813e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.265593098960442 Order of pole (three term test) 32.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 1.041756124487303 y[1] (numeric) 1.0417561244873035 absolute error 4.440892098500626e-16 relative error 4.262890319638099e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2740119683959369 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 1.044663510874394 y[1] (numeric) 1.0446635108743947 absolute error 6.661338147750939e-16 relative error 6.376539506175851e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2823212366975179 Order of pole (three term test) 32.087332192545155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 1.0476664301142866 y[1] (numeric) 1.0476664301142873 absolute error 6.661338147750939e-16 relative error 6.358262473890926e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2905175802686528 Order of pole (three term test) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 1.050764581917559 y[1] (numeric) 1.0507645819175597 absolute error 6.661338147750939e-16 relative error 6.339515303793875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2985977206811961 Order of pole (three term test) 32.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 1.053957656471613 y[1] (numeric) 1.0539576564716135 absolute error 4.440892098500626e-16 relative error 4.2135393876900364e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.306558425986717 Order of pole (three term test) 32.10500388425131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 1.057245334471654 y[1] (numeric) 1.0572453344716544 absolute error 4.440892098500626e-16 relative error 4.200436694970057e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3143965120092343 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 1.060627287152621 y[1] (numeric) 1.0606272871526217 absolute error 6.661338147750939e-16 relative error 6.280564556880378e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32210884361884573 Order of pole (three term test) 32.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 1.0641031763220652 y[1] (numeric) 1.0641031763220656 absolute error 4.440892098500626e-16 relative error 4.173366077009557e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3296923359857367 Order of pole (three term test) 32.124097135429565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 1.0676726543939656 y[1] (numeric) 1.067672654393966 absolute error 4.440892098500626e-16 relative error 4.159413543303096e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33714395581407264 Order of pole (three term test) 32.13076572063521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 1.07133536442349 y[1] (numeric) 1.0713353644234902 absolute error 2.220446049250313e-16 relative error 2.0725966144552558e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34446072255527593 Order of pole (three term test) 32.13758199462955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 1.0750909401426871 y[1] (numeric) 1.0750909401426874 absolute error 2.220446049250313e-16 relative error 2.0653564887781615e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35163970960020524 Order of pole (three term test) 32.14454323099386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 1.078939005997115 y[1] (numeric) 1.0789390059971153 absolute error 4.440892098500626e-16 relative error 4.1159806752899073e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35867804544976145 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 1.082879177183395 y[1] (numeric) 1.0828791771833952 absolute error 2.220446049250313e-16 relative error 2.050502120675889e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36557291486344795 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 1.0869110596876919 y[1] (numeric) 1.086911059687692 absolute error 2.220446049250313e-16 relative error 2.0428958096059175e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37232155998542993 Order of pole (three term test) 32.16626858707935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 1.091034250325115 y[1] (numeric) 1.0910342503251151 absolute error 2.220446049250313e-16 relative error 2.0351753838971117e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37892128144763876 Order of pole (three term test) 32.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 1.0952483367800367 y[1] (numeric) 1.0952483367800367 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3853694394494848 Order of pole (three term test) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 1.0995528976473232 y[1] (numeric) 1.0995528976473232 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39166345481374193 Order of pole (three term test) 32.18919501586467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 1.103947502474475 y[1] (numeric) 1.103947502474475 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3978008100181834 Order of pole (three term test) 32.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 1.1084317118046711 y[1] (numeric) 1.1084317118046711 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40377905020255733 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 1.1130050772207158 y[1] (numeric) 1.1130050772207158 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40959578415049946 Order of pole (three term test) 32.21324000696378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 1.1176671413898787 y[1] (numeric) 1.1176671413898784 absolute error 2.220446049250313e-16 relative error 1.9866791883038362e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41524868524598507 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 1.1224174381096275 y[1] (numeric) 1.1224174381096272 absolute error 2.220446049250313e-16 relative error 1.9782711617435154e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42073549240394853 Order of pole (three term test) 32.22984884706594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 1.1272554923542488 y[1] (numeric) 1.1272554923542486 absolute error 2.220446049250313e-16 relative error 1.9697806436169668e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42605401097468143 Order of pole (three term test) 32.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 1.1321808203223502 y[1] (numeric) 1.13218082032235 absolute error 2.220446049250313e-16 relative error 1.9612115038462815e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4312021136216693 Order of pole (three term test) 32.246889871383615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 1.1371929294852392 y[1] (numeric) 1.137192929485239 absolute error 2.220446049250313e-16 relative error 1.952567582578462e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4361777411724934 Order of pole (three term test) 32.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 1.142291318636176 y[1] (numeric) 1.1422913186361758 absolute error 2.220446049250313e-16 relative error 1.9438526871598622e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4409789034424739 Order of pole (three term test) 32.264335817913135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 1.1474754779404943 y[1] (numeric) 1.1474754779404943 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4456036800307176 Order of pole (three term test) 32.27320193928721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 1.1527448889865841 y[1] (numeric) 1.152744888986584 absolute error 2.220446049250313e-16 relative error 1.9262250220882612e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4500502210882528 Order of pole (three term test) 32.28215877686164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 1.1580990248377314 y[1] (numeric) 1.1580990248377312 absolute error 2.220446049250313e-16 relative error 1.9173196778759346e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.454316748057942 Order of pole (three term test) 32.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 1.1635373500848134 y[1] (numeric) 1.163537350084813 absolute error 4.440892098500626e-16 relative error 3.816716410673811e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45840155438588365 Order of pole (three term test) 32.30033023529687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 1.1690593208998368 y[1] (numeric) 1.1690593208998363 absolute error 4.440892098500626e-16 relative error 3.7986884147867076e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4623030062040103 Order of pole (three term test) 32.309537587816564 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 1.1746643850903218 y[1] (numeric) 1.1746643850903216 absolute error 2.220446049250313e-16 relative error 1.890281238993706e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46601954298361337 Order of pole (three term test) 32.31882112276166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 1.1803519821545208 y[1] (numeric) 1.1803519821545203 absolute error 4.440892098500626e-16 relative error 3.76234561015823e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.469549678159534 Order of pole (three term test) 32.32817712684198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 1.1861215433374663 y[1] (numeric) 1.1861215433374659 absolute error 4.440892098500626e-16 relative error 3.744044717377785e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47289199972476986 Order of pole (three term test) 32.33760185778061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 1.1919724916878485 y[1] (numeric) 1.191972491687848 absolute error 4.440892098500626e-16 relative error 3.725666598406366e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.476045170795258 Order of pole (three term test) 32.347091545810855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 1.1979042421157078 y[1] (numeric) 1.1979042421157073 absolute error 4.440892098500626e-16 relative error 3.707217941441827e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461274 Order of pole (three term test) 32.35664239518403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 1.2039162014509444 y[1] (numeric) 1.2039162014509441 absolute error 2.220446049250313e-16 relative error 1.8443526605707772e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48177909270859665 Order of pole (three term test) 32.36625058568771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 1.2100077685026354 y[1] (numeric) 1.210007768502635 absolute error 4.440892098500626e-16 relative error 3.670135195905525e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4843575500591328 Order of pole (three term test) 32.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 1.216178334119151 y[1] (numeric) 1.2161783341191508 absolute error 2.220446049250313e-16 relative error 1.8257569527075396e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4867422708476598 Order of pole (three term test) 32.385623596095776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 1.2224272812490724 y[1] (numeric) 1.2224272812490722 absolute error 2.220446049250313e-16 relative error 1.816423834210791e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4889323012176582 Order of pole (three term test) 32.39538066705428 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 1.2287539850028937 y[1] (numeric) 1.2287539850028935 absolute error 2.220446049250313e-16 relative error 1.8070712903894136e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49092676518618006 Order of pole (three term test) 32.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 1.2351578127155118 y[1] (numeric) 1.2351578127155116 absolute error 2.220446049250313e-16 relative error 1.797702306856345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49272486499423024 Order of pole (three term test) 32.41501642854988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 1.241638124009492 y[1] (numeric) 1.2416381240094918 absolute error 2.220446049250313e-16 relative error 1.788319806160638e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4943258814258601 Order of pole (three term test) 32.42488726504416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 1.2481942708591054 y[1] (numeric) 1.248194270859105 absolute error 4.440892098500626e-16 relative error 3.5578532942985353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4957291740958434 Order of pole (three term test) 32.43478814563093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 1.2548255976551301 y[1] (numeric) 1.2548255976551295 absolute error 6.661338147750939e-16 relative error 5.308576873311208e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49693418170582243 Order of pole (three term test) 32.444715110089966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 1.2615314412704124 y[1] (numeric) 1.261531441270412 absolute error 4.440892098500626e-16 relative error 3.520238935962207e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49794042226882007 Order of pole (three term test) 32.45466418776785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 1.2683111311261794 y[1] (numeric) 1.268311131126179 absolute error 4.440892098500626e-16 relative error 3.501421685511344e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4987474933020272 Order of pole (three term test) 32.464631399166144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 1.2751639892590951 y[1] (numeric) 1.2751639892590947 absolute error 4.440892098500626e-16 relative error 3.482604697048342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993550719877915 Order of pole (three term test) 32.47461275753321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 1.282089330389057 y[1] (numeric) 1.2820893303890566 absolute error 4.440892098500626e-16 relative error 3.4637930394078026e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997629153027395 Order of pole (three term test) 32.48460427045877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 1.289086461987723 y[1] (numeric) 1.2890864619877227 absolute error 2.220446049250313e-16 relative error 1.722495825319947e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999708601149832 Order of pole (three term test) 32.49460194147087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 1.2961546843477643 y[1] (numeric) 1.296154684347764 absolute error 2.220446049250313e-16 relative error 1.713102669044212e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49997882324937004 Order of pole (three term test) 32.5046017716344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 1.3032932906528352 y[1] (numeric) 1.3032932906528347 absolute error 4.440892098500626e-16 relative error 3.407438778631424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997868015207527 Order of pole (three term test) 32.51459976115065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 1.3105015670482534 y[1] (numeric) 1.3105015670482532 absolute error 2.220446049250313e-16 relative error 1.6943482595382162e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49939487173526204 Order of pole (three term test) 32.52459191095709 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 1.317778792712387 y[1] (numeric) 1.3177787927123867 absolute error 2.220446049250313e-16 relative error 1.6849914883513676e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49880319065958667 Order of pole (three term test) 32.534574224327024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 1.3251242399287335 y[1] (numeric) 1.3251242399287333 absolute error 2.220446049250313e-16 relative error 1.675651219971443e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49801199495826837 Order of pole (three term test) 32.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 1.3325371741586922 y[1] (numeric) 1.3325371741586922 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.497021601099038 Order of pole (three term test) 32.55449337611994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 1.3400168541150184 y[1] (numeric) 1.3400168541150181 absolute error 2.220446049250313e-16 relative error 1.657028448882274e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4958324052262341 Order of pole (three term test) 32.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 1.3475625318359485 y[1] (numeric) 1.3475625318359485 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49444488300235057 Order of pole (three term test) 32.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 1.3551734527599995 y[1] (numeric) 1.3551734527599992 absolute error 2.220446049250313e-16 relative error 1.638495828506724e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4928595894177766 Order of pole (three term test) 32.58419872397454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 1.3628488558014205 y[1] (numeric) 1.3628488558014202 absolute error 2.220446049250313e-16 relative error 1.6292680144230553e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4910771585688092 Order of pole (three term test) 32.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 1.3705879734263036 y[1] (numeric) 1.3705879734263036 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48909830340402227 Order of pole (three term test) 32.60384050080439 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 1.378390031729336 y[1] (numeric) 1.378390031729336 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4869238154390974 Order of pole (three term test) 32.61360104734654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 1.386254250511189 y[1] (numeric) 1.386254250511189 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4845545644402278 Order of pole (three term test) 32.623316154984416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 1.3941798433565378 y[1] (numeric) 1.3941798433565378 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4819914980762238 Order of pole (three term test) 32.632981937804495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 1.4021660177127022 y[1] (numeric) 1.4021660177127024 absolute error 2.220446049250313e-16 relative error 1.5835828434014103e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47923564153945686 Order of pole (three term test) 32.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 1.4102119749689024 y[1] (numeric) 1.4102119749689024 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4762880971357975 Order of pole (three term test) 32.65215008552992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 1.418316910536117 y[1] (numeric) 1.418316910536117 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4731500438437069 Order of pole (three term test) 32.661644783431754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 1.426480013927544 y[1] (numeric) 1.426480013927544 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4698227368426621 Order of pole (three term test) 32.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 1.4347004688396463 y[1] (numeric) 1.4347004688396463 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4663075070111003 Order of pole (three term test) 32.68043644006989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 1.4429774532337833 y[1] (numeric) 1.4429774532337833 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626057603940837 Order of pole (three term test) 32.68972588239407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 1.4513101394184131 y[1] (numeric) 1.4513101394184131 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4587189776409046 Order of pole (three term test) 32.69893943689496 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) ; Iterations 90 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 10 Minutes 0.0 Seconds Percent Done 101.11111111111119%