##############ECHO OF PROBLEM################# ##############temp/arctan_sqrtpostode.ode################# diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2)); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-1.0 x_end=0.5 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 #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(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x + 0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2))) 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 1.5 estimated_steps 1500000.0 step_error 6.666666666666667e-17 est_needed_step_err 6.666666666666667e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.7928227631898613e-161 estimated_step_error 2.7928227631898613e-161 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 1.8742307796397588e-153 estimated_step_error 1.8742307796397588e-153 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 1.2577738437425752e-145 estimated_step_error 1.2577738437425752e-145 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 8.440762065201303e-138 estimated_step_error 8.440762065201303e-138 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 5.664478976820091e-130 estimated_step_error 5.664478976820091e-130 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 3.8013399005771644e-122 estimated_step_error 3.8013399005771644e-122 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 2.550998991126603e-114 estimated_step_error 2.550998991126603e-114 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 1.711896741012717e-106 estimated_step_error 1.711896741012717e-106 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 1.1487677519002827e-98 estimated_step_error 1.1487677519002827e-98 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 7.708354755676755e-91 estimated_step_error 7.708354755676755e-91 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 5.171788310353771e-83 estimated_step_error 5.171788310353771e-83 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 3.469117557772959e-75 estimated_step_error 3.469117557772959e-75 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 2.3259263984078665e-67 estimated_step_error 2.3259263984078665e-67 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 1.5580131713819743e-59 estimated_step_error 1.5580131713819743e-59 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 1.0417083901088461e-51 estimated_step_error 1.0417083901088461e-51 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 6.939610693763538e-44 estimated_step_error 6.939610693763538e-44 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 4.589979076596559e-36 estimated_step_error 4.589979076596559e-36 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 2.9944237108852455e-28 estimated_step_error 2.9944237108852455e-28 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] -1.0 y[1] (analytic) 0.20677340069798467 y[1] (numeric) 0.20677340069798467 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 1.1220935271665429 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 4.008392784860103 Order of pole (six term test) -0.5993553322075051 TOP MAIN SOLVE Loop x[1] -0.99 y[1] (analytic) 0.20984334727926424 y[1] (numeric) 0.20984334727926413 absolute error 1.1102230246251565e-16 relative error 5.290723003706412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1333159203563383 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 4.029443407755447 Order of pole (six term test) -0.5993714582790624 TOP MAIN SOLVE Loop x[1] -0.98 y[1] (analytic) 0.2129275836241571 y[1] (numeric) 0.21292758362415648 absolute error 6.106226635438361e-16 relative error 2.8677480538249983e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1445383428374158 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 4.050403672253074 Order of pole (six term test) -0.5993877390910036 TOP MAIN SOLVE Loop x[1] -0.97 y[1] (analytic) 0.2160260266070555 y[1] (numeric) 0.21602602660705547 absolute error 2.7755575615628914e-17 relative error 1.284825539383522e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1557607946224664 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 4.071283491152709 Order of pole (six term test) -0.5994034722295734 TOP MAIN SOLVE Loop x[1] -0.96 y[1] (analytic) 0.21913859427641658 y[1] (numeric) 0.21913859427641674 absolute error 1.6653345369377348e-16 relative error 7.599457970589692e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1669832757241914 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 4.092069152277105 Order of pole (six term test) -0.5994198928605599 TOP MAIN SOLVE Loop x[1] -0.95 y[1] (analytic) 0.22226520582692944 y[1] (numeric) 0.2222652058269293 absolute error 1.3877787807814457e-16 relative error 6.243796799495748e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1782057861553032 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 4.112790223991839 Order of pole (six term test) -0.59943469447723 TOP MAIN SOLVE Loop x[1] -0.94 y[1] (analytic) 0.22540578157261004 y[1] (numeric) 0.22540578157261035 absolute error 3.0531133177191805e-16 relative error 1.3544964536482752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1894283259285268 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 4.13340743607817 Order of pole (six term test) -0.5994511796478488 TOP MAIN SOLVE Loop x[1] -0.9299999999999999 y[1] (analytic) 0.22856024292078425 y[1] (numeric) 0.22856024292078428 absolute error 2.7755575615628914e-17 relative error 1.2143658608749643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2006508950565988 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 4.153949378199457 Order of pole (six term test) -0.5994671225517134 TOP MAIN SOLVE Loop x[1] -0.9199999999999999 y[1] (analytic) 0.23172851234690883 y[1] (numeric) 0.23172851234690872 absolute error 1.1102230246251565e-16 relative error 4.791050584932331e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.211873493552267 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 4.174402989006157 Order of pole (six term test) -0.5994836758164439 TOP MAIN SOLVE Loop x[1] -0.9099999999999999 y[1] (analytic) 0.23491051337021185 y[1] (numeric) 0.23491051337021215 absolute error 3.0531133177191805e-16 relative error 1.2996920716390273e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2230961214282923 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 4.19479225740248 Order of pole (six term test) -0.5994990075867204 TOP MAIN SOLVE Loop x[1] -0.8999999999999999 y[1] (analytic) 0.23810617053010974 y[1] (numeric) 0.23810617053011007 absolute error 3.3306690738754696e-16 relative error 1.3988167826395283e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2343187786974448 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 4.215087803830429 Order of pole (six term test) -0.5995155660251452 TOP MAIN SOLVE Loop x[1] -0.8899999999999999 y[1] (analytic) 0.24131540936336782 y[1] (numeric) 0.24131540936336748 absolute error 3.3306690738754696e-16 relative error 1.3802140040134014e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.245541465372508 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 4.2353106834325835 Order of pole (six term test) -0.5995317550251933 TOP MAIN SOLVE Loop x[1] -0.8799999999999999 y[1] (analytic) 0.24453815638197796 y[1] (numeric) 0.24453815638197776 absolute error 1.942890293094024e-16 relative error 7.945141657399081e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2567641814662776 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 4.255461321141578 Order of pole (six term test) -0.599547632440526 TOP MAIN SOLVE Loop x[1] -0.8699999999999999 y[1] (analytic) 0.24777433905172952 y[1] (numeric) 0.24777433905172908 absolute error 4.440892098500626e-16 relative error 1.7923131650745604e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2679869269915598 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 4.2755384652680055 Order of pole (six term test) -0.5995633854579889 TOP MAIN SOLVE Loop x[1] -0.8599999999999999 y[1] (analytic) 0.25102388577143087 y[1] (numeric) 0.251023885771431 absolute error 1.1102230246251565e-16 relative error 4.422778418927301e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2792097019611735 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 4.295533191269597 Order of pole (six term test) -0.5995797985668094 TOP MAIN SOLVE Loop x[1] -0.8499999999999999 y[1] (analytic) 0.25428672585277523 y[1] (numeric) 0.2542867258527753 absolute error 5.551115123125783e-17 relative error 2.1830141170403523e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2904325063879496 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 4.315459589710331 Order of pole (six term test) -0.5995958432184771 TOP MAIN SOLVE Loop x[1] -0.8399999999999999 y[1] (analytic) 0.2575627895008057 y[1] (numeric) 0.25756278950080624 absolute error 5.551115123125783e-16 relative error 2.1552473219771594e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3016553402847288 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 4.335321149791833 Order of pole (six term test) -0.5996113304478516 TOP MAIN SOLVE Loop x[1] -0.8299999999999998 y[1] (analytic) 0.26085200779497697 y[1] (numeric) 0.2608520077949768 absolute error 1.6653345369377348e-16 relative error 6.384212071109091e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3128782036643665 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 4.355095565594318 Order of pole (six term test) -0.5996280739389395 TOP MAIN SOLVE Loop x[1] -0.8199999999999998 y[1] (analytic) 0.26415431267076794 y[1] (numeric) 0.26415431267076783 absolute error 1.1102230246251565e-16 relative error 4.2029335557693394e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3241010965397277 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 4.374804286193469 Order of pole (six term test) -0.5996444764813589 TOP MAIN SOLVE Loop x[1] -0.8099999999999998 y[1] (analytic) 0.2674696369018501 y[1] (numeric) 0.26746963690184977 absolute error 3.3306690738754696e-16 relative error 1.2452512787826015e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3353240189236915 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 4.394452844866299 Order of pole (six term test) -0.5996601876940897 TOP MAIN SOLVE Loop x[1] -0.7999999999999998 y[1] (analytic) 0.27079791408276455 y[1] (numeric) 0.2707979140827651 absolute error 5.551115123125783e-16 relative error 2.0499105917888213e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.346546970829146 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 4.414020170176033 Order of pole (six term test) -0.5996769036226155 TOP MAIN SOLVE Loop x[1] -0.7899999999999998 y[1] (analytic) 0.2741390786121132 y[1] (numeric) 0.27413907861211345 absolute error 2.7755575615628914e-16 relative error 1.0124632998749161e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.357769952268995 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 4.43353156326847 Order of pole (six term test) -0.5996927482339647 TOP MAIN SOLVE Loop x[1] -0.7799999999999998 y[1] (analytic) 0.2774930656762198 y[1] (numeric) 0.2774930656762194 absolute error 3.885780586188048e-16 relative error 1.4003162841993302e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3689929632561502 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 4.4529730214229515 Order of pole (six term test) -0.5997088644664164 TOP MAIN SOLVE Loop x[1] -0.7699999999999998 y[1] (analytic) 0.28085981123326675 y[1] (numeric) 0.28085981123326625 absolute error 4.996003610813204e-16 relative error 1.7788246701710547e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3802160038035374 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 4.472350856056086 Order of pole (six term test) -0.5997248368430679 TOP MAIN SOLVE Loop x[1] -0.7599999999999998 y[1] (analytic) 0.2842392519978785 y[1] (numeric) 0.2842392519978781 absolute error 3.885780586188048e-16 relative error 1.3670809217500511e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3914390739240952 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 4.491653190744696 Order of pole (six term test) -0.5997416296824127 TOP MAIN SOLVE Loop x[1] -0.7499999999999998 y[1] (analytic) 0.2876313254261347 y[1] (numeric) 0.2876313254261342 absolute error 4.996003610813204e-16 relative error 1.7369469766241458e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4026621736307725 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 4.510902105725293 Order of pole (six term test) -0.5997576318015696 TOP MAIN SOLVE Loop x[1] -0.7399999999999998 y[1] (analytic) 0.2910359697010003 y[1] (numeric) 0.2910359697010004 absolute error 5.551115123125783e-17 relative error 1.9073639347152844e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4138853029365308 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 4.530083487110026 Order of pole (six term test) -0.5997739738392784 TOP MAIN SOLVE Loop x[1] -0.7299999999999998 y[1] (analytic) 0.29445312371816224 y[1] (numeric) 0.29445312371816207 absolute error 1.6653345369377348e-16 relative error 5.6556864328996584e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.425108461854345 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 4.549201858940332 Order of pole (six term test) -0.5997903731487995 TOP MAIN SOLVE Loop x[1] -0.7199999999999998 y[1] (analytic) 0.2978827270722455 y[1] (numeric) 0.29788272707224506 absolute error 4.440892098500626e-16 relative error 1.4908189347358757e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4363316503971981 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 4.568260230701081 Order of pole (six term test) -0.5998066630546592 TOP MAIN SOLVE Loop x[1] -0.7099999999999997 y[1] (analytic) 0.3013247200434108 y[1] (numeric) 0.3013247200434107 absolute error 1.1102230246251565e-16 relative error 3.684473761280556e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.44755486857809 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 4.587259578152007 Order of pole (six term test) -0.599822829009236 TOP MAIN SOLVE Loop x[1] -0.6999999999999997 y[1] (analytic) 0.30477904358431207 y[1] (numeric) 0.30477904358431185 absolute error 2.220446049250313e-16 relative error 7.285428890179135e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4587781164100304 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 4.606197674296903 Order of pole (six term test) -0.5998390931403499 TOP MAIN SOLVE Loop x[1] -0.6899999999999997 y[1] (analytic) 0.308245639307398 y[1] (numeric) 0.30824563930739757 absolute error 4.440892098500626e-16 relative error 1.4406990828739498e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.470001393906041 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 4.625075798202462 Order of pole (six term test) -0.5998554147826418 TOP MAIN SOLVE Loop x[1] -0.6799999999999997 y[1] (analytic) 0.3117244494725542 y[1] (numeric) 0.31172444947255473 absolute error 5.551115123125783e-16 relative error 1.7807763018006488e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4812247010791557 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 4.643893255821962 Order of pole (six term test) -0.5998718981218563 TOP MAIN SOLVE Loop x[1] -0.6699999999999997 y[1] (analytic) 0.3152154169750747 y[1] (numeric) 0.3152154169750746 absolute error 1.1102230246251565e-16 relative error 3.5221088970814715e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4924480379424214 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 4.66265631909063 Order of pole (six term test) -0.5998881322615333 TOP MAIN SOLVE Loop x[1] -0.6599999999999997 y[1] (analytic) 0.318718485333934 y[1] (numeric) 0.3187184853339338 absolute error 1.6653345369377348e-16 relative error 5.225095542208347e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5036714045088952 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 4.681363302959421 Order of pole (six term test) -0.5999042941181951 TOP MAIN SOLVE Loop x[1] -0.6499999999999997 y[1] (analytic) 0.32223359868037926 y[1] (numeric) 0.32223359868037915 absolute error 1.1102230246251565e-16 relative error 3.445398087510971e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5148948007916498 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 4.700004551962499 Order of pole (six term test) -0.5999211401544908 TOP MAIN SOLVE Loop x[1] -0.6399999999999997 y[1] (analytic) 0.3257607017468058 y[1] (numeric) 0.3257607017468059 absolute error 5.551115123125783e-17 relative error 1.7040468949628953e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5261182268037674 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 4.718601705626183 Order of pole (six term test) -0.5999371363832573 TOP MAIN SOLVE Loop x[1] -0.6299999999999997 y[1] (analytic) 0.32929973985592076 y[1] (numeric) 0.32929973985592026 absolute error 4.996003610813204e-16 relative error 1.517159902099867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5373416825583417 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 4.737137201897045 Order of pole (six term test) -0.5999536138706087 TOP MAIN SOLVE Loop x[1] -0.6199999999999997 y[1] (analytic) 0.3328506589101763 y[1] (numeric) 0.33285065891017634 absolute error 5.551115123125783e-17 relative error 1.667749476988062e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5485651680684818 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 4.755612768285107 Order of pole (six term test) -0.5999704895858144 TOP MAIN SOLVE Loop x[1] -0.6099999999999997 y[1] (analytic) 0.33641340538147935 y[1] (numeric) 0.3364134053814791 absolute error 2.220446049250313e-16 relative error 6.600349491817712e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5597886833473065 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 4.774047156831653 Order of pole (six term test) -0.5999864523118088 TOP MAIN SOLVE Loop x[1] -0.5999999999999996 y[1] (analytic) 0.3399879263011445 y[1] (numeric) 0.3399879263011442 absolute error 2.7755575615628914e-16 relative error 8.163694492799252e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5710122284079495 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 4.792421115035278 Order of pole (six term test) -0.6000029406434564 TOP MAIN SOLVE Loop x[1] -0.5899999999999996 y[1] (analytic) 0.34357416925010664 y[1] (numeric) 0.3435741692501069 absolute error 2.7755575615628914e-16 relative error 8.078481474963299e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.582235803263553 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 4.810739014404346 Order of pole (six term test) -0.6000196799097619 TOP MAIN SOLVE Loop x[1] -0.5799999999999996 y[1] (analytic) 0.3471720823493718 y[1] (numeric) 0.34717208234937214 absolute error 3.3306690738754696e-16 relative error 9.593712292003068e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.593459407927275 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 4.829011466741628 Order of pole (six term test) -0.6000359518452072 TOP MAIN SOLVE Loop x[1] -0.5699999999999996 y[1] (analytic) 0.3507816142506983 y[1] (numeric) 0.3507816142506977 absolute error 6.106226635438361e-16 relative error 1.7407487699952066e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.604683042412283 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 4.847225126956316 Order of pole (six term test) -0.600052754269166 TOP MAIN SOLVE Loop x[1] -0.5599999999999996 y[1] (analytic) 0.3544027141275037 y[1] (numeric) 0.3544027141275039 absolute error 2.220446049250313e-16 relative error 6.265318973972254e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.615906706731761 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 4.865394635386805 Order of pole (six term test) -0.6000690825925261 TOP MAIN SOLVE Loop x[1] -0.5499999999999996 y[1] (analytic) 0.3580353316660023 y[1] (numeric) 0.35803533166600177 absolute error 5.551115123125783e-16 relative error 1.5504378010112726e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6271304008989003 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 4.8835096282436785 Order of pole (six term test) -0.6000857162619226 TOP MAIN SOLVE Loop x[1] -0.5399999999999996 y[1] (analytic) 0.36167941705653384 y[1] (numeric) 0.36167941705653406 absolute error 2.220446049250313e-16 relative error 6.13926572687225e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.638354124926908 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 4.901577888615632 Order of pole (six term test) -0.6001021416983043 TOP MAIN SOLVE Loop x[1] -0.5299999999999996 y[1] (analytic) 0.3653349209851209 y[1] (numeric) 0.36533492098512155 absolute error 6.661338147750939e-16 relative error 1.8233510581985228e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6495778788290028 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 4.919595677925291 Order of pole (six term test) -0.6001186630359232 TOP MAIN SOLVE Loop x[1] -0.5199999999999996 y[1] (analytic) 0.36900179462520954 y[1] (numeric) 0.3690017946252092 absolute error 3.3306690738754696e-16 relative error 9.026159553663927e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6608016626184163 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 4.937562595064803 Order of pole (six term test) -0.6001353456519585 TOP MAIN SOLVE Loop x[1] -0.5099999999999996 y[1] (analytic) 0.372679989629606 y[1] (numeric) 0.3726799896296056 absolute error 4.440892098500626e-16 relative error 1.1916100198763766e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6720254763083922 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 4.955483919237889 Order of pole (six term test) -0.600151855187562 TOP MAIN SOLVE Loop x[1] -0.49999999999999956 y[1] (analytic) 0.37636945812261 y[1] (numeric) 0.37636945812260975 absolute error 2.7755575615628914e-16 relative error 7.374555776677014e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6832493199121852 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 4.9733546660105725 Order of pole (six term test) -0.6001685780377315 TOP MAIN SOLVE Loop x[1] -0.48999999999999955 y[1] (analytic) 0.3800701526923205 y[1] (numeric) 0.3800701526923204 absolute error 5.551115123125783e-17 relative error 1.460550133653772e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6944731934430655 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 4.991177473501627 Order of pole (six term test) -0.6001853642456645 TOP MAIN SOLVE Loop x[1] -0.47999999999999954 y[1] (analytic) 0.383782026383122 y[1] (numeric) 0.3837820263831217 absolute error 2.7755575615628914e-16 relative error 7.232119720979605e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7056970969143128 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 5.0089602749535445 Order of pole (six term test) -0.6002016963668186 TOP MAIN SOLVE Loop x[1] -0.46999999999999953 y[1] (analytic) 0.38750503268834 y[1] (numeric) 0.38750503268834013 absolute error 1.1102230246251565e-16 relative error 2.865054466319872e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7169210303392246 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 5.026689862169755 Order of pole (six term test) -0.6002185291205127 TOP MAIN SOLVE Loop x[1] -0.4599999999999995 y[1] (analytic) 0.39123912554306806 y[1] (numeric) 0.391239125543068 absolute error 5.551115123125783e-17 relative error 1.4188548027808915e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7281449937311026 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 5.044376452849217 Order of pole (six term test) -0.6002351846769525 TOP MAIN SOLVE Loop x[1] -0.4499999999999995 y[1] (analytic) 0.3949842593171482 y[1] (numeric) 0.3949842593171486 absolute error 3.885780586188048e-16 relative error 9.837811240644919e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7393689871032683 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 5.062018923293182 Order of pole (six term test) -0.600251775358279 TOP MAIN SOLVE Loop x[1] -0.4399999999999995 y[1] (analytic) 0.3987403888083181 y[1] (numeric) 0.3987403888083178 absolute error 2.7755575615628914e-16 relative error 6.96081370100974e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7505930104690528 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 5.079618301769165 Order of pole (six term test) -0.6002682632968313 TOP MAIN SOLVE Loop x[1] -0.4299999999999995 y[1] (analytic) 0.40250746923549885 y[1] (numeric) 0.4025074692354985 absolute error 3.3306690738754696e-16 relative error 8.274800664448697e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7618170638418003 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 5.09716936527948 Order of pole (six term test) -0.6002850398148123 TOP MAIN SOLVE Loop x[1] -0.4199999999999995 y[1] (analytic) 0.4062854562322431 y[1] (numeric) 0.4062854562322428 absolute error 2.7755575615628914e-16 relative error 6.831545454032478e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7730411472348686 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 5.114676230379019 Order of pole (six term test) -0.6003018519080907 TOP MAIN SOLVE Loop x[1] -0.4099999999999995 y[1] (analytic) 0.41007430584031823 y[1] (numeric) 0.4100743058403181 absolute error 1.1102230246251565e-16 relative error 2.707370368767933e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7842652606616256 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 5.132138111119808 Order of pole (six term test) -0.6003187837088877 TOP MAIN SOLVE Loop x[1] -0.39999999999999947 y[1] (analytic) 0.4138739745034328 y[1] (numeric) 0.4138739745034328 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 1.7954894041354557 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 5.149565277365709 Order of pole (six term test) -0.6003351642653012 TOP MAIN SOLVE Loop x[1] -0.38999999999999946 y[1] (analytic) 0.41768441906109866 y[1] (numeric) 0.417684419061098 absolute error 6.661338147750939e-16 relative error 1.5948256252231717e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8067135776697523 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 5.166945386644643 Order of pole (six term test) -0.600351866536263 TOP MAIN SOLVE Loop x[1] -0.37999999999999945 y[1] (analytic) 0.42150559674262134 y[1] (numeric) 0.42150559674262156 absolute error 2.220446049250313e-16 relative error 5.2678922092846045e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8179377812779245 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 5.1842791476865555 Order of pole (six term test) -0.6003688691221161 TOP MAIN SOLVE Loop x[1] -0.36999999999999944 y[1] (analytic) 0.4253374651612303 y[1] (numeric) 0.42533746516122983 absolute error 4.440892098500626e-16 relative error 1.044086745760156e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8291620149733925 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 5.2015738384205354 Order of pole (six term test) -0.6003857058591304 TOP MAIN SOLVE Loop x[1] -0.35999999999999943 y[1] (analytic) 0.4291799823083151 y[1] (numeric) 0.4291799823083151 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 1.840386278769588 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 5.218829030481607 Order of pole (six term test) -0.6004024346534358 TOP MAIN SOLVE Loop x[1] -0.3499999999999994 y[1] (analytic) 0.4330331065478039 y[1] (numeric) 0.43303310654780386 absolute error 5.551115123125783e-17 relative error 1.2819147171864047e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8516105726799619 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 5.236042798482636 Order of pole (six term test) -0.6004192136589932 TOP MAIN SOLVE Loop x[1] -0.3399999999999994 y[1] (analytic) 0.4368967966106436 y[1] (numeric) 0.43689679661064373 absolute error 1.1102230246251565e-16 relative error 2.5411562484276395e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8628348967179686 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 5.253212344744449 Order of pole (six term test) -0.6004362572176216 TOP MAIN SOLVE Loop x[1] -0.3299999999999994 y[1] (analytic) 0.4407710115894057 y[1] (numeric) 0.44077101158940507 absolute error 6.106226635438361e-16 relative error 1.385351231111935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8740592508970828 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 5.270344748849087 Order of pole (six term test) -0.600453115517448 TOP MAIN SOLVE Loop x[1] -0.3199999999999994 y[1] (analytic) 0.4446557109329943 y[1] (numeric) 0.4446557109329947 absolute error 4.440892098500626e-16 relative error 9.987259781691705e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.885283635230788 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 5.287439541531316 Order of pole (six term test) -0.6004698473132759 TOP MAIN SOLVE Loop x[1] -0.3099999999999994 y[1] (analytic) 0.4485508544414789 y[1] (numeric) 0.4485508544414786 absolute error 3.3306690738754696e-16 relative error 7.425399017515442e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8965080497325824 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 5.304491359193644 Order of pole (six term test) -0.6004868370265921 TOP MAIN SOLVE Loop x[1] -0.2999999999999994 y[1] (analytic) 0.4524564022610096 y[1] (numeric) 0.45245640226101 absolute error 4.440892098500626e-16 relative error 9.815071852909263e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.907732494415977 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 5.321505290335783 Order of pole (six term test) -0.6005037691628843 TOP MAIN SOLVE Loop x[1] -0.28999999999999937 y[1] (analytic) 0.45637231487886254 y[1] (numeric) 0.4563723148788621 absolute error 4.440892098500626e-16 relative error 9.730853414452621e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.918956969294496 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 5.338480064635544 Order of pole (six term test) -0.6005207532441865 TOP MAIN SOLVE Loop x[1] -0.27999999999999936 y[1] (analytic) 0.4602985531185597 y[1] (numeric) 0.46029855311855966 absolute error 5.551115123125783e-17 relative error 1.2059814408532313e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9301814743816756 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 5.355419619709663 Order of pole (six term test) -0.6005375523112892 TOP MAIN SOLVE Loop x[1] -0.26999999999999935 y[1] (analytic) 0.46423507813511034 y[1] (numeric) 0.4642350781351099 absolute error 4.440892098500626e-16 relative error 9.566041662211822e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9414060096910657 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 5.372315634265125 Order of pole (six term test) -0.6005547414412042 TOP MAIN SOLVE Loop x[1] -0.25999999999999934 y[1] (analytic) 0.4681818514103284 y[1] (numeric) 0.4681818514103279 absolute error 4.996003610813204e-16 relative error 1.0671074916217885e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9526305752362265 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 5.389178768102839 Order of pole (six term test) -0.6005716385667466 TOP MAIN SOLVE Loop x[1] -0.24999999999999933 y[1] (analytic) 0.4721388347482556 y[1] (numeric) 0.4721388347482556 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 1.963855171030738 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 5.406001234377059 Order of pole (six term test) -0.6005887810050208 TOP MAIN SOLVE Loop x[1] -0.23999999999999932 y[1] (analytic) 0.47610599027067124 y[1] (numeric) 0.47610599027067074 absolute error 4.996003610813204e-16 relative error 1.0493469338566658e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9750797970881864 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 5.422795572046594 Order of pole (six term test) -0.6006053669024034 TOP MAIN SOLVE Loop x[1] -0.22999999999999932 y[1] (analytic) 0.48008328041268467 y[1] (numeric) 0.48008328041268467 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 1.9863044534221745 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 5.439544272590666 Order of pole (six term test) -0.6006225686834448 TOP MAIN SOLVE Loop x[1] -0.2199999999999993 y[1] (analytic) 0.4840706679184259 y[1] (numeric) 0.4840706679184256 absolute error 2.7755575615628914e-16 relative error 5.733785881921315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9975291400463162 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 5.456262485212342 Order of pole (six term test) -0.6006394143059399 TOP MAIN SOLVE Loop x[1] -0.2099999999999993 y[1] (analytic) 0.4880681158368061 y[1] (numeric) 0.48806811583680637 absolute error 2.7755575615628914e-16 relative error 5.686824177818135e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.008753856974241 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 5.472942597272846 Order of pole (six term test) -0.6006564242878714 TOP MAIN SOLVE Loop x[1] -0.1999999999999993 y[1] (analytic) 0.4920755875173737 y[1] (numeric) 0.49207558751737324 absolute error 4.440892098500626e-16 relative error 9.024816941043295e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0199786042195904 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 5.489584770174129 Order of pole (six term test) -0.6006736079742332 TOP MAIN SOLVE Loop x[1] -0.18999999999999928 y[1] (analytic) 0.49609304660623543 y[1] (numeric) 0.4960930466062351 absolute error 3.3306690738754696e-16 relative error 6.713799148487412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0312033817960162 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 5.506193205261078 Order of pole (six term test) -0.6006907124391141 TOP MAIN SOLVE Loop x[1] -0.17999999999999927 y[1] (analytic) 0.5001204570420699 y[1] (numeric) 0.5001204570420701 absolute error 2.220446049250313e-16 relative error 4.439822482733456e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0424281897171883 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 5.5227680944521955 Order of pole (six term test) -0.6007077463410528 TOP MAIN SOLVE Loop x[1] -0.16999999999999926 y[1] (analytic) 0.5041577830522073 y[1] (numeric) 0.504157783052208 absolute error 7.771561172376096e-16 relative error 1.5414938405446224e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0536530279967886 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 5.539308884708809 Order of pole (six term test) -0.6007247659512291 TOP MAIN SOLVE Loop x[1] -0.15999999999999925 y[1] (analytic) 0.5082049891487879 y[1] (numeric) 0.5082049891487872 absolute error 6.661338147750939e-16 relative error 1.310758117292054e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.06487789664851 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 5.5558115892560265 Order of pole (six term test) -0.6007420487793027 TOP MAIN SOLVE Loop x[1] -0.14999999999999925 y[1] (analytic) 0.5122620401249831 y[1] (numeric) 0.5122620401249829 absolute error 2.220446049250313e-16 relative error 4.334590259134881e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.076102795686059 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 5.572283900125211 Order of pole (six term test) -0.6007591171074473 TOP MAIN SOLVE Loop x[1] -0.13999999999999924 y[1] (analytic) 0.5163289010513075 y[1] (numeric) 0.5163289010513067 absolute error 7.771561172376096e-16 relative error 1.5051571113978448e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.087327725123157 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 5.588720414400537 Order of pole (six term test) -0.6007763387325351 TOP MAIN SOLVE Loop x[1] -0.12999999999999923 y[1] (analytic) 0.5204055372719747 y[1] (numeric) 0.5204055372719744 absolute error 3.3306690738754696e-16 relative error 6.400141496063277e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0985526849735385 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 5.605122891144308 Order of pole (six term test) -0.60079361912506 TOP MAIN SOLVE Loop x[1] -0.11999999999999923 y[1] (analytic) 0.5244919144013411 y[1] (numeric) 0.5244919144013411 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 2.109777675250952 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 5.621495688077722 Order of pole (six term test) -0.6008106974825385 TOP MAIN SOLVE Loop x[1] -0.10999999999999924 y[1] (analytic) 0.5285879983204023 y[1] (numeric) 0.5285879983204023 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 2.1210026959691555 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 5.637832197457474 Order of pole (six term test) -0.6008280154379726 TOP MAIN SOLVE Loop x[1] -0.09999999999999924 y[1] (analytic) 0.5326937551733568 y[1] (numeric) 0.5326937551733573 absolute error 4.440892098500626e-16 relative error 8.33667009491299e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.132227747141926 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 5.654140884258797 Order of pole (six term test) -0.6008450503165133 TOP MAIN SOLVE Loop x[1] -0.08999999999999925 y[1] (analytic) 0.536809151364237 y[1] (numeric) 0.5368091513642375 absolute error 4.440892098500626e-16 relative error 8.2727578082725e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1434528287830483 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 5.670410355647889 Order of pole (six term test) -0.6008625460458266 TOP MAIN SOLVE Loop x[1] -0.07999999999999925 y[1] (analytic) 0.540934153553593 y[1] (numeric) 0.5409341535535936 absolute error 6.661338147750939e-16 relative error 1.2314508344481836e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1546779409063253 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 5.686654934926294 Order of pole (six term test) -0.6008796080615948 TOP MAIN SOLVE Loop x[1] -0.06999999999999926 y[1] (analytic) 0.5450687286552434 y[1] (numeric) 0.5450687286552439 absolute error 5.551115123125783e-16 relative error 1.0184248024686938e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1659030835255706 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 5.702865141735118 Order of pole (six term test) -0.6008968571684292 TOP MAIN SOLVE Loop x[1] -0.059999999999999255 y[1] (analytic) 0.5492128438330797 y[1] (numeric) 0.5492128438330793 absolute error 3.3306690738754696e-16 relative error 6.064441338680251e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1771282566546124 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 5.719044986274079 Order of pole (six term test) -0.6009140553395937 TOP MAIN SOLVE Loop x[1] -0.04999999999999925 y[1] (analytic) 0.553366466497927 y[1] (numeric) 0.5533664664979269 absolute error 1.1102230246251565e-16 relative error 2.0063070168515815e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1883534603072934 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 5.735191163596791 Order of pole (six term test) -0.6009314285651861 TOP MAIN SOLVE Loop x[1] -0.03999999999999925 y[1] (analytic) 0.5575295643044678 y[1] (numeric) 0.5575295643044673 absolute error 4.440892098500626e-16 relative error 7.965303336049545e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1995786944974656 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 5.75130639065759 Order of pole (six term test) -0.6009488207201539 TOP MAIN SOLVE Loop x[1] -0.02999999999999925 y[1] (analytic) 0.5617021051482078 y[1] (numeric) 0.5617021051482081 absolute error 2.220446049250313e-16 relative error 3.953066988532004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.210803959238999 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 5.76739338963158 Order of pole (six term test) -0.6009660772285432 TOP MAIN SOLVE Loop x[1] -0.019999999999999248 y[1] (analytic) 0.5658840571625086 y[1] (numeric) 0.5658840571625086 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 2.2220292545457765 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 5.783448770110509 Order of pole (six term test) -0.6009834274330785 TOP MAIN SOLVE Loop x[1] -0.009999999999999247 y[1] (analytic) 0.5700753887156575 y[1] (numeric) 0.5700753887156578 absolute error 2.220446049250313e-16 relative error 3.895004227866831e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.233254580431694 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 5.799470097637627 Order of pole (six term test) -0.6010010390944078 TOP MAIN SOLVE Loop x[1] 7.528699885739343e-16 y[1] (analytic) 0.5742760684080022 y[1] (numeric) 0.5742760684080025 absolute error 3.3306690738754696e-16 relative error 5.799769931400226e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.244479936910658 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 5.815470966322473 Order of pole (six term test) -0.6010180763711404 TOP MAIN SOLVE Loop x[1] 0.010000000000000753 y[1] (analytic) 0.5784860650691246 y[1] (numeric) 0.5784860650691247 absolute error 1.1102230246251565e-16 relative error 1.91918715361362e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2557053239965947 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 5.831433178696594 Order of pole (six term test) -0.6010356931790994 TOP MAIN SOLVE Loop x[1] 0.020000000000000753 y[1] (analytic) 0.5827053477550685 y[1] (numeric) 0.582705347755068 absolute error 5.551115123125783e-16 relative error 9.526453025550592e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.26693074170344 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 5.84736935176778 Order of pole (six term test) -0.6010531159808004 TOP MAIN SOLVE Loop x[1] 0.030000000000000755 y[1] (analytic) 0.5869338857456112 y[1] (numeric) 0.5869338857456111 absolute error 1.1102230246251565e-16 relative error 1.8915640272068892e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2781561900451424 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 5.863278051543278 Order of pole (six term test) -0.6010704493921484 TOP MAIN SOLVE Loop x[1] 0.04000000000000076 y[1] (analytic) 0.5911716485415881 y[1] (numeric) 0.5911716485415878 absolute error 3.3306690738754696e-16 relative error 5.634013542584767e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.289381669035666 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 5.8791549103010405 Order of pole (six term test) -0.6010879798413331 TOP MAIN SOLVE Loop x[1] 0.05000000000000076 y[1] (analytic) 0.5954186058622524 y[1] (numeric) 0.5954186058622518 absolute error 5.551115123125783e-16 relative error 9.323046119942732e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.300607178688991 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 5.895004112373632 Order of pole (six term test) -0.6011054614853943 TOP MAIN SOLVE Loop x[1] 0.06000000000000076 y[1] (analytic) 0.5996747276426873 y[1] (numeric) 0.5996747276426868 absolute error 4.440892098500626e-16 relative error 7.405501505720791e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3118327190191086 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 5.910825265248536 Order of pole (six term test) -0.60112293305116 TOP MAIN SOLVE Loop x[1] 0.07000000000000076 y[1] (analytic) 0.6039399840312596 y[1] (numeric) 0.6039399840312591 absolute error 4.440892098500626e-16 relative error 7.353201006593344e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.323058290040022 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 5.926618489447107 Order of pole (six term test) -0.6011404011095145 TOP MAIN SOLVE Loop x[1] 0.08000000000000075 y[1] (analytic) 0.6082143453871134 y[1] (numeric) 0.6082143453871133 absolute error 1.1102230246251565e-16 relative error 1.8253811884665875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3342838917657502 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 5.942381865356975 Order of pole (six term test) -0.601157998072571 TOP MAIN SOLVE Loop x[1] 0.09000000000000075 y[1] (analytic) 0.6124977822777087 y[1] (numeric) 0.6124977822777086 absolute error 1.1102230246251565e-16 relative error 1.8126155828622696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3455095242103288 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 5.958118742256529 Order of pole (six term test) -0.601175530710492 TOP MAIN SOLVE Loop x[1] 0.10000000000000074 y[1] (analytic) 0.6167902654763973 y[1] (numeric) 0.6167902654763969 absolute error 3.3306690738754696e-16 relative error 5.4000026594176596e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.356735187387804 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 5.973827110401729 Order of pole (six term test) -0.6011931360791607 TOP MAIN SOLVE Loop x[1] 0.11000000000000074 y[1] (analytic) 0.6210917659600401 y[1] (numeric) 0.6210917659600403 absolute error 2.220446049250313e-16 relative error 3.575069210293109e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3679608813122344 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 5.989507831471509 Order of pole (six term test) -0.6012107745333441 TOP MAIN SOLVE Loop x[1] 0.12000000000000073 y[1] (analytic) 0.6254022549066667 y[1] (numeric) 0.6254022549066668 absolute error 1.1102230246251565e-16 relative error 1.7752142975417367e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.379186605997697 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 6.005166203331768 Order of pole (six term test) -0.6012281347201878 TOP MAIN SOLVE Loop x[1] 0.13000000000000073 y[1] (analytic) 0.6297217036931646 y[1] (numeric) 0.6297217036931648 absolute error 2.220446049250313e-16 relative error 3.526075147526181e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3904123614582784 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 6.020791250586655 Order of pole (six term test) -0.6012459012941882 TOP MAIN SOLVE Loop x[1] 0.14000000000000073 y[1] (analytic) 0.6340500838930154 y[1] (numeric) 0.6340500838930153 absolute error 1.1102230246251565e-16 relative error 1.751002094043547e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.401638147708082 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 6.0363915518071805 Order of pole (six term test) -0.6012635618796551 TOP MAIN SOLVE Loop x[1] 0.15000000000000074 y[1] (analytic) 0.6383873672740599 y[1] (numeric) 0.6383873672740596 absolute error 2.220446049250313e-16 relative error 3.4782111349284817e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.412863964761227 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 6.051967119900159 Order of pole (six term test) -0.6012811287126745 TOP MAIN SOLVE Loop x[1] 0.16000000000000075 y[1] (analytic) 0.6427335257963045 y[1] (numeric) 0.6427335257963038 absolute error 6.661338147750939e-16 relative error 1.0364074504279173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.424089812631839 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 6.0675151310651785 Order of pole (six term test) -0.6012987863622641 TOP MAIN SOLVE Loop x[1] 0.17000000000000076 y[1] (analytic) 0.6470885316097581 y[1] (numeric) 0.6470885316097573 absolute error 7.771561172376096e-16 relative error 1.2010043128167998e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4353156913340657 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 6.08303616606996 Order of pole (six term test) -0.6013165113072958 TOP MAIN SOLVE Loop x[1] 0.18000000000000077 y[1] (analytic) 0.6514523570523063 y[1] (numeric) 0.6514523570523068 absolute error 4.440892098500626e-16 relative error 6.816910017172689e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.446541600882067 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 6.098533243900671 Order of pole (six term test) -0.6013341325638422 TOP MAIN SOLVE Loop x[1] 0.19000000000000078 y[1] (analytic) 0.655824974647623 y[1] (numeric) 0.6558249746476226 absolute error 4.440892098500626e-16 relative error 6.771459261499964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4577675412900115 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 6.114003587061041 Order of pole (six term test) -0.6013518301367391 TOP MAIN SOLVE Loop x[1] 0.2000000000000008 y[1] (analytic) 0.6602063571030992 y[1] (numeric) 0.6602063571030993 absolute error 1.1102230246251565e-16 relative error 1.6816303155526598e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4689935125720894 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 6.129448621319319 Order of pole (six term test) -0.6013695295373402 TOP MAIN SOLVE Loop x[1] 0.2100000000000008 y[1] (analytic) 0.664596477307827 y[1] (numeric) 0.6645964773078274 absolute error 4.440892098500626e-16 relative error 6.682087928738296e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4802195147425015 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 6.144868470523875 Order of pole (six term test) -0.6013872348522007 TOP MAIN SOLVE Loop x[1] 0.2200000000000008 y[1] (analytic) 0.6689953083305977 y[1] (numeric) 0.6689953083305977 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 2.4914455478154602 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 6.160262689073307 Order of pole (six term test) -0.6014049841734597 TOP MAIN SOLVE Loop x[1] 0.23000000000000081 y[1] (analytic) 0.6734028234179354 y[1] (numeric) 0.6734028234179354 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 2.502671611805198 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 6.175629455017144 Order of pole (six term test) -0.6014228981601519 TOP MAIN SOLVE Loop x[1] 0.24000000000000082 y[1] (analytic) 0.6778189959921654 y[1] (numeric) 0.6778189959921657 absolute error 2.220446049250313e-16 relative error 3.275868723626002e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5138977067259574 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 6.190973651672663 Order of pole (six term test) -0.6014406942902095 TOP MAIN SOLVE Loop x[1] 0.25000000000000083 y[1] (analytic) 0.6822437996495085 y[1] (numeric) 0.6822437996495083 absolute error 2.220446049250313e-16 relative error 3.2546225416647693e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5251238325919965 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 6.206295302699113 Order of pole (six term test) -0.6014583823832442 TOP MAIN SOLVE Loop x[1] 0.26000000000000084 y[1] (analytic) 0.6866772081582018 y[1] (numeric) 0.6866772081582021 absolute error 3.3306690738754696e-16 relative error 4.850414480493614e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.536349989417585 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 6.221589286186115 Order of pole (six term test) -0.6014762805111502 TOP MAIN SOLVE Loop x[1] 0.27000000000000085 y[1] (analytic) 0.6911191954566576 y[1] (numeric) 0.6911191954566572 absolute error 3.3306690738754696e-16 relative error 4.819239714033304e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5475761772170133 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 6.2368599761807335 Order of pole (six term test) -0.6014941369968732 TOP MAIN SOLVE Loop x[1] 0.28000000000000086 y[1] (analytic) 0.6955697356516364 y[1] (numeric) 0.6955697356516359 absolute error 4.440892098500626e-16 relative error 6.384538991392759e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5588023960045807 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 6.2521063846009906 Order of pole (six term test) -0.6015120213438578 TOP MAIN SOLVE Loop x[1] 0.29000000000000087 y[1] (analytic) 0.700028803016461 y[1] (numeric) 0.7000288030164608 absolute error 2.220446049250313e-16 relative error 3.171935268495088e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5700286457946 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 6.267330126686484 Order of pole (six term test) -0.6015298480887168 TOP MAIN SOLVE Loop x[1] 0.3000000000000009 y[1] (analytic) 0.704496371989249 y[1] (numeric) 0.7044963719892494 absolute error 4.440892098500626e-16 relative error 6.303640834886225e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.581254926601403 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 6.282527296381066 Order of pole (six term test) -0.6015478594076455 TOP MAIN SOLVE Loop x[1] 0.3100000000000009 y[1] (analytic) 0.7089724171711769 y[1] (numeric) 0.7089724171711765 absolute error 3.3306690738754696e-16 relative error 4.69788244677409e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.592481238439332 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 6.2977035197797235 Order of pole (six term test) -0.6015657311177947 TOP MAIN SOLVE Loop x[1] 0.3200000000000009 y[1] (analytic) 0.7134569133247606 y[1] (numeric) 0.7134569133247609 absolute error 3.3306690738754696e-16 relative error 4.6683534936318885e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6037075813227477 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 6.312855484291612 Order of pole (six term test) -0.6015836702837696 TOP MAIN SOLVE Loop x[1] 0.3300000000000009 y[1] (analytic) 0.7179498353721794 y[1] (numeric) 0.7179498353721782 absolute error 1.2212453270876722e-15 relative error 1.7010176295319972e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6149339552660207 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 6.327984927637926 Order of pole (six term test) -0.6016015836280424 TOP MAIN SOLVE Loop x[1] 0.3400000000000009 y[1] (analytic) 0.7224511583935982 y[1] (numeric) 0.7224511583935987 absolute error 5.551115123125783e-16 relative error 7.683723748839895e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6261603602835377 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 6.343090684437463 Order of pole (six term test) -0.6016195495904899 TOP MAIN SOLVE Loop x[1] 0.3500000000000009 y[1] (analytic) 0.7269608576255493 y[1] (numeric) 0.7269608576255501 absolute error 7.771561172376096e-16 relative error 1.0690480912218735e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.637386796389703 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 6.3581723671016395 Order of pole (six term test) -0.6016376007532322 TOP MAIN SOLVE Loop x[1] 0.36000000000000093 y[1] (analytic) 0.731478908459303 y[1] (numeric) 0.7314789084593024 absolute error 5.551115123125783e-16 relative error 7.588892938578321e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6486132635989317 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 6.3732315427785275 Order of pole (six term test) -0.6016556539089866 TOP MAIN SOLVE Loop x[1] 0.37000000000000094 y[1] (analytic) 0.7360052864392781 y[1] (numeric) 0.7360052864392788 absolute error 6.661338147750939e-16 relative error 9.050666171132879e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.659839761925653 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 6.388269862944708 Order of pole (six term test) -0.6016736214667873 TOP MAIN SOLVE Loop x[1] 0.38000000000000095 y[1] (analytic) 0.7405399672614879 y[1] (numeric) 0.7405399672614876 absolute error 2.220446049250313e-16 relative error 2.998414869438457e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6710662913843124 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 6.403283047310239 Order of pole (six term test) -0.6016917641711164 TOP MAIN SOLVE Loop x[1] 0.39000000000000096 y[1] (analytic) 0.7450829267719783 y[1] (numeric) 0.7450829267719784 absolute error 1.1102230246251565e-16 relative error 1.490066386885448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.682292851989371 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 6.4182762609860236 Order of pole (six term test) -0.6017097879268913 TOP MAIN SOLVE Loop x[1] 0.40000000000000097 y[1] (analytic) 0.7496341409653189 y[1] (numeric) 0.749634140965319 absolute error 1.1102230246251565e-16 relative error 1.4810198254784662e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6935194437553047 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 6.433246848648292 Order of pole (six term test) -0.601727857674117 TOP MAIN SOLVE Loop x[1] 0.410000000000001 y[1] (analytic) 0.7541935859830953 y[1] (numeric) 0.7541935859830953 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 2.7047460666966012 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 6.448195495663482 Order of pole (six term test) -0.6017459421750093 TOP MAIN SOLVE Loop x[1] 0.420000000000001 y[1] (analytic) 0.7587612381124331 y[1] (numeric) 0.7587612381124321 absolute error 9.992007221626409e-16 relative error 1.3168842476038285e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.715972720827762 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 6.463121174032731 Order of pole (six term test) -0.601764110065913 TOP MAIN SOLVE Loop x[1] 0.430000000000001 y[1] (analytic) 0.7633370737845357 y[1] (numeric) 0.7633370737845352 absolute error 5.551115123125783e-16 relative error 7.272167583324631e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7271994061633125 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 6.478025789695095 Order of pole (six term test) -0.601782258743798 TOP MAIN SOLVE Loop x[1] 0.440000000000001 y[1] (analytic) 0.7679210695732541 y[1] (numeric) 0.7679210695732533 absolute error 7.771561172376096e-16 relative error 1.0120260376102033e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7384261227177804 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 6.4929106719249505 Order of pole (six term test) -0.6018003196911046 TOP MAIN SOLVE Loop x[1] 0.450000000000001 y[1] (analytic) 0.7725132021936627 y[1] (numeric) 0.7725132021936616 absolute error 1.1102230246251565e-15 relative error 1.4371573475670294e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.749652870505716 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 6.507769862483094 Order of pole (six term test) -0.6018186479225527 TOP MAIN SOLVE Loop x[1] 0.460000000000001 y[1] (analytic) 0.7771134485006641 y[1] (numeric) 0.7771134485006639 absolute error 2.220446049250313e-16 relative error 2.8572997334357876e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.76087964954168 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 6.5226098306411044 Order of pole (six term test) -0.6018368755591492 TOP MAIN SOLVE Loop x[1] 0.47000000000000103 y[1] (analytic) 0.7817217854876155 y[1] (numeric) 0.7817217854876151 absolute error 4.440892098500626e-16 relative error 5.680911266571042e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.772106459840254 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 6.5374291728311595 Order of pole (six term test) -0.6018550924921922 TOP MAIN SOLVE Loop x[1] 0.48000000000000104 y[1] (analytic) 0.7863381902849627 y[1] (numeric) 0.7863381902849624 absolute error 2.220446049250313e-16 relative error 2.8237799927352392e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7833333014160293 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 6.552227286213597 Order of pole (six term test) -0.6018733420156899 TOP MAIN SOLVE Loop x[1] 0.49000000000000105 y[1] (analytic) 0.7909626401589054 y[1] (numeric) 0.7909626401589058 absolute error 4.440892098500626e-16 relative error 5.614540906266376e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7945601742836126 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 6.567007348123312 Order of pole (six term test) -0.6018914485997229 Finished! diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2)); Iterations 150 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.66666666666674%