##############ECHO OF PROBLEM################# ##############temp/tanh_sqrt_newpostode.ode################# diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK 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 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(tanh(sqrt(2.0*x + 1.0))) 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 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 1.422395301078657e-153 estimated_step_error 1.422395301078657e-153 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 9.545525776602572e-146 estimated_step_error 9.545525776602572e-146 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 6.405883838716532e-138 estimated_step_error 6.405883838716532e-138 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 4.298902353918125e-130 estimated_step_error 4.298902353918125e-130 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 2.884926388918217e-122 estimated_step_error 2.884926388918217e-122 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 1.9360169731367037e-114 estimated_step_error 1.9360169731367037e-114 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 1.2992063117692956e-106 estimated_step_error 1.2992063117692956e-106 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 8.71838730092381e-99 estimated_step_error 8.71838730092381e-99 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 5.850221996271752e-91 estimated_step_error 5.850221996271752e-91 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 3.925227648719573e-83 estimated_step_error 3.925227648719573e-83 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 2.6331161748396884e-75 estimated_step_error 2.6331161748396884e-75 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 1.7656340261219366e-67 estimated_step_error 1.7656340261219366e-67 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 1.182995232736144e-59 estimated_step_error 1.182995232736144e-59 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 7.913546536993006e-52 estimated_step_error 7.913546536993006e-52 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 5.276933074348219e-44 estimated_step_error 5.276933074348219e-44 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 3.4968751791093025e-36 estimated_step_error 3.4968751791093025e-36 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 2.2895025657619285e-28 estimated_step_error 2.2895025657619285e-28 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 1.466119370814806e-20 estimated_step_error 1.466119370814806e-20 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.798856925051763 y[1] (numeric) 0.798856925051763 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6428309335557573 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0150512526571713 Order of pole (six term test) 0.12432394083157128 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.8021224892873338 y[1] (numeric) 0.8021224892873338 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6535631878734961 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.02671988271181 Order of pole (six term test) 0.12470600936330101 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.805314691088346 y[1] (numeric) 0.805314691088346 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6642961238229507 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0383644593037014 Order of pole (six term test) 0.12509273285072275 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.8084357793551158 y[1] (numeric) 0.8084357793551159 absolute error 1.1102230246251565e-16 relative error 1.3732977349305032e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6750297460170681 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.04998577631319 Order of pole (six term test) 0.12548401131698128 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.8114879110711591 y[1] (numeric) 0.8114879110711591 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6857640591401075 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0615846089625622 Order of pole (six term test) 0.12587977788605542 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.8144731561650902 y[1] (numeric) 0.8144731561650902 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6964990679496653 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0731617054338585 Order of pole (six term test) 0.1262799834692423 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.8173935020507396 y[1] (numeric) 0.8173935020507397 absolute error 1.1102230246251565e-16 relative error 1.3582479207869205e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7072347772787516 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.084717666067633 Order of pole (six term test) 0.12668442262876844 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.8202508578712564 y[1] (numeric) 0.8202508578712565 absolute error 1.1102230246251565e-16 relative error 1.3535164443551404e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7179711920379231 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0962530779931845 Order of pole (six term test) 0.12709292098512037 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.8230470584705385 y[1] (numeric) 0.8230470584705386 absolute error 1.1102230246251565e-16 relative error 1.3489180396176554e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7287083172174534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1077684998362467 Order of pole (six term test) 0.12750531092577333 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.8257838681131744 y[1] (numeric) 0.8257838681131745 absolute error 1.1102230246251565e-16 relative error 1.3444474607646362e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.739446157889561 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1192644081443224 Order of pole (six term test) 0.12792135296708906 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.8284629839721465 y[1] (numeric) 0.8284629839721467 absolute error 2.220446049250313e-16 relative error 2.6801994684230406e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7501847192106672 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1307412255206055 Order of pole (six term test) 0.12834077342790629 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.8310860394018158 y[1] (numeric) 0.8310860394018159 absolute error 1.1102230246251565e-16 relative error 1.3358701409835412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7609240064236995 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1421992915803192 Order of pole (six term test) 0.12876322014937713 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.8336546070121553 y[1] (numeric) 0.8336546070121554 absolute error 1.1102230246251565e-16 relative error 1.331754200464664e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.77166402486042 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1536389721551292 Order of pole (six term test) 0.12918841544367687 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.8361702015588065 y[1] (numeric) 0.8361702015588066 absolute error 1.1102230246251565e-16 relative error 1.3277476553881672e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.782404779943783 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1650605207162397 Order of pole (six term test) 0.12961595737113107 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.838634282662277 y[1] (numeric) 0.8386342826622771 absolute error 1.1102230246251565e-16 relative error 1.3238464579586594e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7931462771903187 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1764641799500277 Order of pole (six term test) 0.13004546142139795 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.8410482573684664 y[1] (numeric) 0.8410482573684667 absolute error 2.220446049250313e-16 relative error 2.6400935140128675e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8038885222125245 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1878501603309128 Order of pole (six term test) 0.13047652789308017 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.8434134825616889 y[1] (numeric) 0.8434134825616891 absolute error 2.220446049250313e-16 relative error 2.6326897721698506e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8146315207212683 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1992186403415421 Order of pole (six term test) 0.1309087409761105 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.8457312672404343 y[1] (numeric) 0.8457312672404345 absolute error 1.1102230246251565e-16 relative error 1.312737352430804e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8253752785281954 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2105696958565009 Order of pole (six term test) 0.13134156577186928 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.848002874665279 y[1] (numeric) 0.8480028746652791 absolute error 1.1102230246251565e-16 relative error 1.309220826714037e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8361198015481268 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2219034382039762 Order of pole (six term test) 0.13177454281626844 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.8502295243875967 y[1] (numeric) 0.8502295243875968 absolute error 1.1102230246251565e-16 relative error 1.305792133512216e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8468650958014473 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2332199310749647 Order of pole (six term test) 0.13220716819573752 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.8524123941670346 y[1] (numeric) 0.8524123941670346 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8576111674164693 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.244519224310709 Order of pole (six term test) 0.13263894048765046 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.8545526217850941 y[1] (numeric) 0.8545526217850941 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.868358022631769 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.255801317260024 Order of pole (six term test) 0.13306930592993638 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.8566513067615884 y[1] (numeric) 0.8566513067615885 absolute error 1.1102230246251565e-16 relative error 1.2960034215346604e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8791056677984843 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.267066205473682 Order of pole (six term test) 0.13349772418320605 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.8587095119802312 y[1] (numeric) 0.8587095119802313 absolute error 1.1102230246251565e-16 relative error 1.2928970846787541e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.889854109382569 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2783138639911118 Order of pole (six term test) 0.13392364280846003 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.8607282652291354 y[1] (numeric) 0.8607282652291355 absolute error 1.1102230246251565e-16 relative error 1.28986472209043e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9006033539669834 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2895442560849675 Order of pole (six term test) 0.13434650840566142 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.8627085606615759 y[1] (numeric) 0.8627085606615759 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9113534082538265 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3007573375387689 Order of pole (six term test) 0.13476577139298307 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.8646513601819672 y[1] (numeric) 0.8646513601819673 absolute error 1.1102230246251565e-16 relative error 1.2840123496613807e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.922104279066392 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3119530406735573 Order of pole (six term test) 0.13518086163671406 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.8665575947616552 y[1] (numeric) 0.8665575947616553 absolute error 1.1102230246251565e-16 relative error 1.2811878071768802e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9328559733511389 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3231313067843393 Order of pole (six term test) 0.1355912343610033 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.8684281656887811 y[1] (numeric) 0.8684281656887812 absolute error 1.1102230246251565e-16 relative error 1.2784281630762164e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9436084981795708 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.33429206224268 Order of pole (six term test) 0.1359963345109545 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.8702639457561832 y[1] (numeric) 0.8702639457561832 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9543618607500076 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3454352511117582 Order of pole (six term test) 0.13639564256784809 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.8720657803910122 y[1] (numeric) 0.8720657803910122 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9651160683892516 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3565607782004936 Order of pole (six term test) 0.13678859113900188 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.8738344887294903 y[1] (numeric) 0.8738344887294903 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9758711285541214 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3676685775872301 Order of pole (six term test) 0.13717466396108513 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.8755708646399988 y[1] (numeric) 0.8755708646399989 absolute error 1.1102230246251565e-16 relative error 1.2679990500616278e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9866270488328651 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3787586000248115 Order of pole (six term test) 0.13755337649189237 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.8772756776974695 y[1] (numeric) 0.8772756776974695 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9973838369464216 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3898307615809808 Order of pole (six term test) 0.1379242003242247 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.8789496741118499 y[1] (numeric) 0.8789496741118499 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0081415007495407 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.400884995833955 Order of pole (six term test) 0.13828663828062915 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.8805935776132313 y[1] (numeric) 0.8805935776132314 absolute error 1.1102230246251565e-16 relative error 1.2607666610904828e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.018900048231734 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4119212704697188 Order of pole (six term test) 0.13864024953119802 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.8822080902960553 y[1] (numeric) 0.8822080902960554 absolute error 1.1102230246251565e-16 relative error 1.2584593553801836e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0296594875180685 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.422939500792433 Order of pole (six term test) 0.13898451985415328 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.8837938934246573 y[1] (numeric) 0.8837938934246574 absolute error 1.1102230246251565e-16 relative error 1.2562012850338869e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0404198268697724 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4339396705974097 Order of pole (six term test) 0.1393190414459191 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.8853516482022625 y[1] (numeric) 0.8853516482022626 absolute error 1.1102230246251565e-16 relative error 1.2539910293040096e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0511810746846644 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4449217198064053 Order of pole (six term test) 0.1396433445725016 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.8868819965054102 y[1] (numeric) 0.8868819965054103 absolute error 1.1102230246251565e-16 relative error 1.2518272205319075e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0619432394973845 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.455885640036986 Order of pole (six term test) 0.13995704017155752 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.8883855615856606 y[1] (numeric) 0.8883855615856607 absolute error 1.1102230246251565e-16 relative error 1.2497085416871734e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.072706329979426 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4668313735820335 Order of pole (six term test) 0.14025966802544332 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.8898629487403211 y[1] (numeric) 0.8898629487403212 absolute error 1.1102230246251565e-16 relative error 1.2476337240434321e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0834703549389595 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4777589202546633 Order of pole (six term test) 0.14055085699508219 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.8913147459538211 y[1] (numeric) 0.8913147459538212 absolute error 1.1102230246251565e-16 relative error 1.2456015449818184e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0942353233204443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4886682595098444 Order of pole (six term test) 0.14083020763907506 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.8927415245112643 y[1] (numeric) 0.8927415245112644 absolute error 1.1102230246251565e-16 relative error 1.2436108259139773e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1050012442040125 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4995593628473243 Order of pole (six term test) 0.14109730976414347 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.8941438395855952 y[1] (numeric) 0.8941438395855953 absolute error 1.1102230246251565e-16 relative error 1.2416604303170132e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.115768126804635 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5104322411542348 Order of pole (six term test) 0.14135181533030128 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.8955222307997287 y[1] (numeric) 0.8955222307997288 absolute error 1.1102230246251565e-16 relative error 1.239749261873369e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1265359804710469 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5212868602262606 Order of pole (six term test) 0.1415933079225855 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.8968772227649131 y[1] (numeric) 0.8968772227649131 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1373048146844396 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5321232379120553 Order of pole (six term test) 0.14182145259376178 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.8982093255965184 y[1] (numeric) 0.8982093255965186 absolute error 1.1102230246251565e-16 relative error 1.2360404117245561e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1480746390569105 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.542941369636649 Order of pole (six term test) 0.14203588093610087 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.8995190354083774 y[1] (numeric) 0.8995190354083775 absolute error 1.1102230246251565e-16 relative error 1.2342407230116264e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1588454633296696 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5537412191962232 Order of pole (six term test) 0.14223617563954427 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.900806834786734 y[1] (numeric) 0.9008068347867341 absolute error 1.1102230246251565e-16 relative error 1.2324762443526551e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1696172973709875 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5645228013101755 Order of pole (six term test) 0.14242199917978127 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.9020731932448007 y[1] (numeric) 0.9020731932448008 absolute error 1.1102230246251565e-16 relative error 1.2307460557957951e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1803901511739034 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.575286107102387 Order of pole (six term test) 0.1425929775441972 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.9033185676588645 y[1] (numeric) 0.9033185676588645 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.191164034853672 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.586031113432906 Order of pole (six term test) 0.1427487145474 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.9045434026868278 y[1] (numeric) 0.9045434026868278 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.201938958644954 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5967577910770459 Order of pole (six term test) 0.1428888040573888 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.9057481311700254 y[1] (numeric) 0.9057481311700253 absolute error 1.1102230246251565e-16 relative error 1.2257524872736917e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2127149328987517 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6074661259102403 Order of pole (six term test) 0.14301286344071862 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.9069331745191064 y[1] (numeric) 0.9069331745191063 absolute error 1.1102230246251565e-16 relative error 1.224150858980148e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2234919680790843 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.618156075622728 Order of pole (six term test) 0.1431204650405462 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.9080989430847305 y[1] (numeric) 0.9080989430847304 absolute error 1.1102230246251565e-16 relative error 1.2225793599691117e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2342700747594089 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6288275879584666 Order of pole (six term test) 0.14321116461149508 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.9092458365137851 y[1] (numeric) 0.909245836513785 absolute error 1.1102230246251565e-16 relative error 1.221037237719949e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.245049263618776 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6394806005642308 Order of pole (six term test) 0.1432845006976038 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.9103742440917924 y[1] (numeric) 0.9103742440917922 absolute error 1.1102230246251565e-16 relative error 1.2195237638041236e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2558295454377406 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6501150579811728 Order of pole (six term test) 0.1433400216133549 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.9114845450721389 y[1] (numeric) 0.9114845450721388 absolute error 1.1102230246251565e-16 relative error 1.2180382329327247e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2666109310940057 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6607308556937534 Order of pole (six term test) 0.14337719555352457 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.9125771089927275 y[1] (numeric) 0.9125771089927274 absolute error 1.1102230246251565e-16 relative error 1.2165799620489978e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2773934315578201 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.671327885973974 Order of pole (six term test) 0.14339548330235985 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.9136522959806184 y[1] (numeric) 0.9136522959806181 absolute error 2.220446049250313e-16 relative error 2.4302965789268002e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2881770578871259 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.681906043869969 Order of pole (six term test) 0.14339434840959875 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.9147104570451972 y[1] (numeric) 0.914710457045197 absolute error 1.1102230246251565e-16 relative error 1.2137425740288643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.298961821222455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6924651695305477 Order of pole (six term test) 0.14337316264851552 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.9157519343603815 y[1] (numeric) 0.9157519343603814 absolute error 1.1102230246251565e-16 relative error 1.212362194354092e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3097477327815819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.703005101065023 Order of pole (six term test) 0.14333129166206326 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.916777061536346 y[1] (numeric) 0.9167770615363459 absolute error 1.1102230246251565e-16 relative error 1.2110065480528402e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3205348038539446 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7135256315963159 Order of pole (six term test) 0.14326802375918923 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.9177861638812285 y[1] (numeric) 0.9177861638812282 absolute error 2.220446049250313e-16 relative error 2.4193501020545598e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3313230457948249 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7240265514522204 Order of pole (six term test) 0.14318263947909493 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.9187795586532502 y[1] (numeric) 0.9187795586532501 absolute error 1.1102230246251565e-16 relative error 1.2083671367836315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3421124700192906 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.734507599652595 Order of pole (six term test) 0.14307433023622984 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.9197575553036655 y[1] (numeric) 0.9197575553036654 absolute error 1.1102230246251565e-16 relative error 1.2070822557783799e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3529030879959385 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7449684932287557 Order of pole (six term test) 0.14294224654289245 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.920720455710931 y[1] (numeric) 0.920720455710931 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3636949112403887 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7554089011829155 Order of pole (six term test) 0.1427854534100259 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.9216685544064713 y[1] (numeric) 0.9216685544064712 absolute error 1.1102230246251565e-16 relative error 1.2045794763390936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3744879513085897 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7658284528896075 Order of pole (six term test) 0.1426029439801706 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.9226021387923933 y[1] (numeric) 0.9226021387923932 absolute error 1.1102230246251565e-16 relative error 1.2033605580823201e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.385282219789909 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7762267441718314 Order of pole (six term test) 0.14239364858859638 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.9235214893514879 y[1] (numeric) 0.9235214893514878 absolute error 1.1102230246251565e-16 relative error 1.202162632300818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3960777283000276 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7866033121341673 Order of pole (six term test) 0.14215639170127936 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.9244268798498404 y[1] (numeric) 0.9244268798498403 absolute error 1.1102230246251565e-16 relative error 1.2009852253598424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4068744884736455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.796957645808948 Order of pole (six term test) 0.14188990833997295 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.9253185775323547 y[1] (numeric) 0.9253185775323545 absolute error 2.220446049250313e-16 relative error 2.399655754423317e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4176725119569988 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8072891589590723 Order of pole (six term test) 0.1415927967792161 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.9261968433114826 y[1] (numeric) 0.9261968433114823 absolute error 2.220446049250313e-16 relative error 2.397380281832348e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4284718104002148 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8175972144118138 Order of pole (six term test) 0.1412635588980855 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.9270619319494363 y[1] (numeric) 0.9270619319494361 absolute error 2.220446049250313e-16 relative error 2.3951431643635004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4392723954494877 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8278810932895797 Order of pole (six term test) 0.14090054573765975 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.9279140922341471 y[1] (numeric) 0.9279140922341469 absolute error 2.220446049250313e-16 relative error 2.3929435578504095e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4500742787391065 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8381400077546024 Order of pole (six term test) 0.1405019784378858 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.928753567149222 y[1] (numeric) 0.9287535671492217 absolute error 2.220446049250313e-16 relative error 2.3907806417001423e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.460877471883329 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8483730740618105 Order of pole (six term test) 0.14006589960788673 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.9295805940381399 y[1] (numeric) 0.9295805940381396 absolute error 2.220446049250313e-16 relative error 2.3886536180844695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.47168198646812 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8585792986065486 Order of pole (six term test) 0.13959014705989325 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.9303954047629146 y[1] (numeric) 0.9303954047629143 absolute error 3.3306690738754696e-16 relative error 3.5798425667463374e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4824878340427645 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.868757611143641 Order of pole (six term test) 0.13907241077440347 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.9311982258574437 y[1] (numeric) 0.9311982258574435 absolute error 2.220446049250313e-16 relative error 2.3845041663451784e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4932950261113438 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8789067686697172 Order of pole (six term test) 0.13851006075840644 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.931989278675753 y[1] (numeric) 0.9319892786757527 absolute error 3.3306690738754696e-16 relative error 3.573720374345892e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5041035741241284 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8890254381923308 Order of pole (six term test) 0.13790029176742102 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.9327687795353322 y[1] (numeric) 0.932768779535332 absolute error 2.220446049250313e-16 relative error 2.3804892466024108e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5149134894688407 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8991121009632608 Order of pole (six term test) 0.13723995084445306 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.9335369398557575 y[1] (numeric) 0.9335369398557571 absolute error 3.3306690738754696e-16 relative error 3.567795693644536e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5257247834618533 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9091650885330342 Order of pole (six term test) 0.1365255991012404 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.9342939662927758 y[1] (numeric) 0.9342939662927755 absolute error 3.3306690738754696e-16 relative error 3.5649048308546515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5365374673392895 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9191825071834492 Order of pole (six term test) 0.13575337323159253 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.9350400608680312 y[1] (numeric) 0.9350400608680308 absolute error 3.3306690738754696e-16 relative error 3.562060293741308e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5473515522480623 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9291622730359146 Order of pole (six term test) 0.1349190460783607 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.9357754210945929 y[1] (numeric) 0.9357754210945926 absolute error 3.3306690738754696e-16 relative error 3.5592611205576735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.558167049236849 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9391020299817436 Order of pole (six term test) 0.1340178751224972 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.9365002400984491 y[1] (numeric) 0.9365002400984488 absolute error 3.3306690738754696e-16 relative error 3.556506374761137e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5689839692470218 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9489991437679886 Order of pole (six term test) 0.13304458841574984 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.9372147067361143 y[1] (numeric) 0.937214706736114 absolute error 3.3306690738754696e-16 relative error 3.553795144204097e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.579802323103534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.958850641102308 Order of pole (six term test) 0.13199326966860347 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.937919005708497 y[1] (numeric) 0.9379190057084965 absolute error 4.440892098500626e-16 relative error 4.734835387140929e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5906221215057772 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.968653174559426 Order of pole (six term test) 0.13085729075792685 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.9386133176711662 y[1] (numeric) 0.9386133176711658 absolute error 3.3306690738754696e-16 relative error 3.5484996975531264e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6014433750184205 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9784029709768094 Order of pole (six term test) 0.1296292126693963 Finished! diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; Iterations 90 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 101.11111111111119%