##############ECHO OF PROBLEM################# ##############temp/h3sinpostode.ode################# diff ( y , x , 3 ) = sin ( x ) ; ! #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=1.5 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $array_y_init[2 + 1] = exact_soln_ypp(x_start) $glob_look_poles=true $glob_max_iter=20 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(1.0 + cos(x)) end def exact_soln_yp (x) return(-sin(x)) end def exact_soln_ypp (x) return(-cos(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 1.4 estimated_steps 1400000.0 step_error 7.142857142857143e-17 est_needed_step_err 7.142857142857143e-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 2.467208605532302e-183 estimated_step_error 2.467208605532302e-183 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 1.655715664606566e-175 estimated_step_error 1.655715664606566e-175 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 1.1111319694584357e-167 estimated_step_error 1.1111319694584357e-167 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 7.456680367024187e-160 estimated_step_error 7.456680367024187e-160 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 5.004093412037817e-152 estimated_step_error 5.004093412037817e-152 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 3.3581901424816246e-144 estimated_step_error 3.3581901424816246e-144 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 2.2536431215809203e-136 estimated_step_error 2.2536431215809203e-136 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 1.512394117654307e-128 estimated_step_error 1.512394117654307e-128 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 1.0149502701580557e-120 estimated_step_error 1.0149502701580557e-120 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 6.811212724408108e-113 estimated_step_error 6.811212724408108e-113 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 4.570923134360029e-105 estimated_step_error 4.570923134360029e-105 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 3.0674887502340373e-97 estimated_step_error 3.0674887502340373e-97 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 2.0585490116181717e-89 estimated_step_error 2.0585490116181717e-89 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 1.381458319740679e-81 estimated_step_error 1.381458319740679e-81 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 9.270668118451431e-74 estimated_step_error 9.270668118451431e-74 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 6.221249002141342e-66 estimated_step_error 6.221249002141342e-66 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 4.174750875751545e-58 estimated_step_error 4.174750875751545e-58 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 2.8012747580090028e-50 estimated_step_error 2.8012747580090028e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.9950041652780257 y[1] (numeric) 1.9950041652780257 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09933466539753057 Order of pole (three term test) 22.00996671107938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 1.9939560979566968 y[1] (numeric) 1.9939560979566968 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043473 Order of pole (three term test) 22.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 1.9928086358538661 y[1] (numeric) 1.9928086358538661 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11885131321356737 Order of pole (three term test) 22.014331012573987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 1.991561893714788 y[1] (numeric) 1.9915618937147879 absolute error 2.220446049250313e-16 relative error 1.1149269607225692e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1285402759460776 Order of pole (three term test) 22.016805010932746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 1.9902159962126371 y[1] (numeric) 1.990215996212637 absolute error 2.220446049250313e-16 relative error 1.1156809378860393e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13817782428205685 Order of pole (three term test) 22.01947228084461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 1.9887710779360424 y[1] (numeric) 1.988771077936042 absolute error 4.440892098500626e-16 relative error 2.2329830455445925e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066977 Order of pole (three term test) 22.022331755437193 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 1.9872272833756268 y[1] (numeric) 1.9872272833756266 absolute error 2.220446049250313e-16 relative error 1.1173588787884023e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1572832803080589 Order of pole (three term test) 22.02538229095878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 1.9855847669095605 y[1] (numeric) 1.9855847669095603 absolute error 2.220446049250313e-16 relative error 1.118283180982648e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16674354607040717 Order of pole (three term test) 22.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 1.9838436927881213 y[1] (numeric) 1.9838436927881211 absolute error 2.220446049250313e-16 relative error 1.1192646161198656e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754505 Order of pole (three term test) 22.032051588161032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 1.9820042351172704 y[1] (numeric) 1.98200423511727 absolute error 4.440892098500626e-16 relative error 2.240606765523823e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1854602347064914 Order of pole (three term test) 22.03566768221174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 1.9800665778412416 y[1] (numeric) 1.9800665778412412 absolute error 4.440892098500626e-16 relative error 2.2427993827067613e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432543 Order of pole (three term test) 22.039469502998557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 1.9780309147241484 y[1] (numeric) 1.9780309147241477 absolute error 6.661338147750939e-16 relative error 3.3676612929378375e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20388022652978519 Order of pole (three term test) 22.043455529843847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 1.9758974493306054 y[1] (numeric) 1.975897449330605 absolute error 4.440892098500626e-16 relative error 2.2475316722561242e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2129697325329998 Order of pole (three term test) 22.04762416839002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 1.9736663950053748 y[1] (numeric) 1.9736663950053743 absolute error 4.440892098500626e-16 relative error 2.2500723069202038e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2219740534827599 Order of pole (three term test) 22.051973751237238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 1.9713379748520294 y[1] (numeric) 1.971337974852029 absolute error 4.440892098500626e-16 relative error 2.252729950496674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23088958777074153 Order of pole (three term test) 22.05650253861036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 1.9689124217106446 y[1] (numeric) 1.9689124217106442 absolute error 4.440892098500626e-16 relative error 2.255505145649017e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2397127693021017 Order of pole (three term test) 22.061208719054815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 1.9663899781345133 y[1] (numeric) 1.9663899781345127 absolute error 6.661338147750939e-16 relative error 3.3875976900932224e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24844006892186854 Order of pole (three term test) 22.066090410161173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 1.9637708963658906 y[1] (numeric) 1.96377089636589 absolute error 6.661338147750939e-16 relative error 3.392115730036665e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25706799582655665 Order of pole (three term test) 22.07114565931809 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 1.9610554383107708 y[1] (numeric) 1.9610554383107703 absolute error 4.440892098500626e-16 relative error 2.2645418440214808e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.265593098960442 Order of pole (three term test) 22.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 1.958243875512697 y[1] (numeric) 1.9582438755126965 absolute error 4.440892098500626e-16 relative error 2.2677931763417034e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27401196839593694 Order of pole (three term test) 22.0817686750424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 1.955336489125606 y[1] (numeric) 1.9553364891256053 absolute error 6.661338147750939e-16 relative error 3.40674773104131e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28232123669751796 Order of pole (three term test) 22.087332192545162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 1.9523335698857134 y[1] (numeric) 1.9523335698857127 absolute error 6.661338147750939e-16 relative error 3.411987710758302e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29051758026865276 Order of pole (three term test) 22.093060771668732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 1.949235418082441 y[1] (numeric) 1.9492354180824403 absolute error 6.661338147750939e-16 relative error 3.4174107888435693e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2985977206811963 Order of pole (three term test) 22.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 1.946042343528387 y[1] (numeric) 1.9460423435283865 absolute error 4.440892098500626e-16 relative error 2.2820120606670893e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.306558425986717 Order of pole (three term test) 22.105003884251317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 1.942754665528346 y[1] (numeric) 1.9427546655283456 absolute error 4.440892098500626e-16 relative error 2.285873855972902e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31439651200923435 Order of pole (three term test) 22.111213640624538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 1.939372712847379 y[1] (numeric) 1.9393727128473783 absolute error 6.661338147750939e-16 relative error 3.434790075998744e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3221088436188458 Order of pole (three term test) 22.117578906357757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 1.9358968236779348 y[1] (numeric) 1.9358968236779344 absolute error 4.440892098500626e-16 relative error 2.2939714783267988e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32969233598573666 Order of pole (three term test) 22.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 1.9323273456060344 y[1] (numeric) 1.932327345606034 absolute error 4.440892098500626e-16 relative error 2.2982090009743315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33714395581407275 Order of pole (three term test) 22.13076572063521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 1.92866463557651 y[1] (numeric) 1.9286646355765098 absolute error 2.220446049250313e-16 relative error 1.1512867547273633e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3444607225552758 Order of pole (three term test) 22.137581994629546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 1.9249090598573129 y[1] (numeric) 1.9249090598573126 absolute error 2.220446049250313e-16 relative error 1.1535329619233583e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35163970960020513 Order of pole (three term test) 22.144543230993865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 1.921060994002885 y[1] (numeric) 1.9210609940028847 absolute error 4.440892098500626e-16 relative error 2.311687193880923e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35867804544976156 Order of pole (three term test) 22.15164664532642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 1.917120822816605 y[1] (numeric) 1.9171208228166048 absolute error 2.220446049250313e-16 relative error 1.1582191496872207e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36557291486344806 Order of pole (three term test) 22.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 1.9130889403123081 y[1] (numeric) 1.913088940312308 absolute error 2.220446049250313e-16 relative error 1.1606601253404505e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3723215599854298 Order of pole (three term test) 22.166268587079347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 1.908965749674885 y[1] (numeric) 1.9089657496748849 absolute error 2.220446049250313e-16 relative error 1.1631670445781838e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37892128144763876 Order of pole (three term test) 22.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 1.9047516632199633 y[1] (numeric) 1.9047516632199633 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3853694394494849 Order of pole (three term test) 22.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 1.9004471023526768 y[1] (numeric) 1.9004471023526768 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3916634548137419 Order of pole (three term test) 22.18919501586467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 1.896052497525525 y[1] (numeric) 1.896052497525525 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39780081001818335 Order of pole (three term test) 22.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 1.8915682881953289 y[1] (numeric) 1.8915682881953289 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40377905020255733 Order of pole (three term test) 22.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 1.8869949227792842 y[1] (numeric) 1.8869949227792842 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4095957841504993 Order of pole (three term test) 22.21324000696377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 1.8823328586101213 y[1] (numeric) 1.8823328586101216 absolute error 2.220446049250313e-16 relative error 1.1796245489173727e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4152486852459852 Order of pole (three term test) 22.221488726616894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 1.8775825618903725 y[1] (numeric) 1.8775825618903728 absolute error 2.220446049250313e-16 relative error 1.1826090070919393e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42073549240394836 Order of pole (three term test) 22.22984884706593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 1.8727445076457512 y[1] (numeric) 1.8727445076457514 absolute error 2.220446049250313e-16 relative error 1.18566416304254e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4260540109746814 Order of pole (three term test) 22.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 1.8678191796776498 y[1] (numeric) 1.86781917967765 absolute error 2.220446049250313e-16 relative error 1.1887906888468294e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4312021136216693 Order of pole (three term test) 22.246889871383612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 1.8628070705147608 y[1] (numeric) 1.862807070514761 absolute error 2.220446049250313e-16 relative error 1.1919892748940038e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43617774117249336 Order of pole (three term test) 22.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 1.857708681363824 y[1] (numeric) 1.8577086813638242 absolute error 2.220446049250313e-16 relative error 1.1952606302190438e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4409789034424738 Order of pole (three term test) 22.26433581791313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 1.8525245220595057 y[1] (numeric) 1.8525245220595057 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44560368003071776 Order of pole (three term test) 22.273201939287215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 1.8472551110134159 y[1] (numeric) 1.847255111013416 absolute error 2.220446049250313e-16 relative error 1.20202458015242e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4500502210882527 Order of pole (three term test) 22.282158776861642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 1.8419009751622686 y[1] (numeric) 1.8419009751622688 absolute error 2.220446049250313e-16 relative error 1.2055186892198128e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4543167480579419 Order of pole (three term test) 22.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 1.8364626499151866 y[1] (numeric) 1.836462649915187 absolute error 4.440892098500626e-16 relative error 2.418177194458989e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584015543858835 Order of pole (three term test) 22.30033023529686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 1.8309406791001632 y[1] (numeric) 1.8309406791001637 absolute error 4.440892098500626e-16 relative error 2.4254702236902364e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46230300620401027 Order of pole (three term test) 22.30953758781656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 1.8253356149096782 y[1] (numeric) 1.8253356149096784 absolute error 2.220446049250313e-16 relative error 1.2164590616176554e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46601954298361337 Order of pole (three term test) 22.318821122761666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 1.8196480178454792 y[1] (numeric) 1.8196480178454797 absolute error 4.440892098500626e-16 relative error 2.440522592802746e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46954967815953397 Order of pole (three term test) 22.328177126841975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 1.8138784566625337 y[1] (numeric) 1.8138784566625341 absolute error 4.440892098500626e-16 relative error 2.4482853755657347e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4728919997247698 Order of pole (three term test) 22.337601857780612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 1.8080275083121515 y[1] (numeric) 1.808027508312152 absolute error 4.440892098500626e-16 relative error 2.4562082590470837e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47604517079525804 Order of pole (three term test) 22.347091545810862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 1.8020957578842922 y[1] (numeric) 1.8020957578842927 absolute error 4.440892098500626e-16 relative error 2.4642930760318475e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461274 Order of pole (three term test) 22.356642395184025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 1.7960837985490556 y[1] (numeric) 1.7960837985490559 absolute error 2.220446049250313e-16 relative error 1.2362708527542386e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48177909270859653 Order of pole (three term test) 22.366250585687705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 1.7899922314973646 y[1] (numeric) 1.789992231497365 absolute error 4.440892098500626e-16 relative error 2.480956073639342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4843575500591327 Order of pole (three term test) 22.375912274173817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 1.783821665880849 y[1] (numeric) 1.7838216658808492 absolute error 2.220446049250313e-16 relative error 1.2447690773807591e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48674227084765975 Order of pole (three term test) 22.385623596095776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 1.7775727187509276 y[1] (numeric) 1.7775727187509278 absolute error 2.220446049250313e-16 relative error 1.2491449862093888e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4889323012176581 Order of pole (three term test) 22.395380667054287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 1.7712460149971063 y[1] (numeric) 1.7712460149971065 absolute error 2.220446049250313e-16 relative error 1.2536068002128663e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4909267651861799 Order of pole (three term test) 22.405179584351078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 1.7648421872844882 y[1] (numeric) 1.7648421872844884 absolute error 2.220446049250313e-16 relative error 1.2581555819825735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927248649942301 Order of pole (three term test) 22.41501642854988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 1.758361875990508 y[1] (numeric) 1.7583618759905082 absolute error 2.220446049250313e-16 relative error 1.262792420359721e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49432588142586004 Order of pole (three term test) 22.42488726504416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 1.7518057291408946 y[1] (numeric) 1.751805729140895 absolute error 4.440892098500626e-16 relative error 2.5350368620374873e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49572917409584333 Order of pole (three term test) 22.43478814563093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 1.7451744023448699 y[1] (numeric) 1.7451744023448705 absolute error 6.661338147750939e-16 relative error 3.817004271206683e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49693418170582254 Order of pole (three term test) 22.444715110089966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 1.7384685587295876 y[1] (numeric) 1.738468558729588 absolute error 4.440892098500626e-16 relative error 2.5544851393492416e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4979404222688201 Order of pole (three term test) 22.454664187767847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 1.7316888688738206 y[1] (numeric) 1.731688868873821 absolute error 4.440892098500626e-16 relative error 2.5644861373906605e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4987474933020273 Order of pole (three term test) 22.464631399166148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 1.7248360107409049 y[1] (numeric) 1.7248360107409053 absolute error 4.440892098500626e-16 relative error 2.574674966690333e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49935507198779155 Order of pole (three term test) 22.47461275753321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 1.717910669610943 y[1] (numeric) 1.7179106696109434 absolute error 4.440892098500626e-16 relative error 2.5850541457469147e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997629153027394 Order of pole (three term test) 22.484604270458764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 1.710913538012277 y[1] (numeric) 1.7109135380122773 absolute error 2.220446049250313e-16 relative error 1.2978131272665046e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999708601149832 Order of pole (three term test) 22.494601941470865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 1.7038453156522357 y[1] (numeric) 1.703845315652236 absolute error 2.220446049250313e-16 relative error 1.3031969679714272e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49997882324937 Order of pole (three term test) 22.504601771634402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 1.6967067093471648 y[1] (numeric) 1.6967067093471653 absolute error 4.440892098500626e-16 relative error 2.6173598972855662e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997868015207526 Order of pole (three term test) 22.514599761150652 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 1.6894984329517466 y[1] (numeric) 1.6894984329517468 absolute error 2.220446049250313e-16 relative error 1.3142634559127353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49939487173526204 Order of pole (three term test) 22.52459191095709 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 1.682221207287613 y[1] (numeric) 1.6822212072876135 absolute error 4.440892098500626e-16 relative error 2.6398978203711096e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4988031906595866 Order of pole (three term test) 22.534574224327027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 1.6748757600712665 y[1] (numeric) 1.674875760071267 absolute error 4.440892098500626e-16 relative error 2.6514755329145518e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49801199495826837 Order of pole (three term test) 22.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 1.6674628258413078 y[1] (numeric) 1.667462825841308 absolute error 2.220446049250313e-16 relative error 1.3316315151613657e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.497021601099038 Order of pole (three term test) 22.55449337611994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 1.6599831458849816 y[1] (numeric) 1.659983145884982 absolute error 4.440892098500626e-16 relative error 2.675263366082592e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4958324052262342 Order of pole (three term test) 22.564422247147768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 1.6524374681640515 y[1] (numeric) 1.6524374681640517 absolute error 2.220446049250313e-16 relative error 1.3437398340509371e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49444488300235057 Order of pole (three term test) 22.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 1.6448265472400005 y[1] (numeric) 1.644826547240001 absolute error 4.440892098500626e-16 relative error 2.6999151405674904e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49285958941777663 Order of pole (three term test) 22.584198723974538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 1.6371511441985795 y[1] (numeric) 1.63715114419858 absolute error 4.440892098500626e-16 relative error 2.7125730658634683e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4910771585688092 Order of pole (three term test) 22.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 1.6294120265736964 y[1] (numeric) 1.6294120265736967 absolute error 2.220446049250313e-16 relative error 1.362728403275281e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4890983034040222 Order of pole (three term test) 22.6038405008044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 1.621609968270664 y[1] (numeric) 1.6216099682706642 absolute error 2.220446049250313e-16 relative error 1.3692849037048451e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48692381543909746 Order of pole (three term test) 22.613601047346545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 1.613745749488811 y[1] (numeric) 1.6137457494888112 absolute error 2.220446049250313e-16 relative error 1.3759577987757289e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48455456444022804 Order of pole (three term test) 22.623316154984423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 1.6058201566434622 y[1] (numeric) 1.6058201566434624 absolute error 2.220446049250313e-16 relative error 1.382748896297056e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48199149807622405 Order of pole (three term test) 22.632981937804495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 1.5978339822872978 y[1] (numeric) 1.5978339822872978 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792356415394569 Order of pole (three term test) 22.64259452962251 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 1.5897880250310976 y[1] (numeric) 1.5897880250310978 absolute error 2.220446049250313e-16 relative error 1.396693152979863e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47628809713579745 Order of pole (three term test) 22.652150085529914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 1.581683089463883 y[1] (numeric) 1.5816830894638831 absolute error 2.220446049250313e-16 relative error 1.4038501543333445e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.473150043843707 Order of pole (three term test) 22.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 1.573519986072456 y[1] (numeric) 1.5735199860724562 absolute error 2.220446049250313e-16 relative error 1.4111330449590286e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4698227368426621 Order of pole (three term test) 22.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 1.5652995311603537 y[1] (numeric) 1.565299531160354 absolute error 2.220446049250313e-16 relative error 1.4185438665558792e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4663075070111002 Order of pole (three term test) 22.680436440069887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 1.5570225467662167 y[1] (numeric) 1.5570225467662169 absolute error 2.220446049250313e-16 relative error 1.426084711401233e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46260576039408374 Order of pole (three term test) 22.689725882394082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 1.5486898605815869 y[1] (numeric) 1.548689860581587 absolute error 2.220446049250313e-16 relative error 1.4337577237165215e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45871897764090463 Order of pole (three term test) 22.698939436894957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 1.5403023058681393 y[1] (numeric) 1.5403023058681393 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4546487134128406 Order of pole (three term test) 22.708073418273578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 1.531860721374355 y[1] (numeric) 1.5318607213743551 absolute error 2.220446049250313e-16 relative error 1.449509095877968e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4503965957613132 Order of pole (three term test) 22.717124173059148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 1.523365951251649 y[1] (numeric) 1.5233659512516493 absolute error 2.220446049250313e-16 relative error 1.4575920168268952e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44596432547668957 Order of pole (three term test) 22.72608808107046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 1.514818844969955 y[1] (numeric) 1.5148188449699551 absolute error 2.220446049250313e-16 relative error 1.465816230517223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44135367540798676 Order of pole (three term test) 22.734961556863805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 1.5062202572327776 y[1] (numeric) 1.506220257232778 absolute error 4.440892098500626e-16 relative error 2.948368326063691e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4365664897537579 Order of pole (three term test) 22.74374105116718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 1.4975710478917263 y[1] (numeric) 1.4975710478917266 absolute error 2.220446049250313e-16 relative error 1.4826983016106292e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4316046833244364 Order of pole (three term test) 22.752423052299932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 1.488872081860527 y[1] (numeric) 1.4888720818605272 absolute error 2.220446049250313e-16 relative error 1.4913611963732943e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42647024077643764 Order of pole (three term test) 22.761004087577355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 1.4801242290285335 y[1] (numeric) 1.4801242290285337 absolute error 2.220446049250313e-16 relative error 1.500175462101369e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42116521581832267 Order of pole (three term test) 22.769480724699754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 1.4713283641737394 y[1] (numeric) 1.4713283641737396 absolute error 2.220446049250313e-16 relative error 1.509143780081518e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4156917303893413 Order of pole (three term test) 22.77784957312531 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 1.4624853668753002 y[1] (numeric) 1.4624853668753004 absolute error 2.220446049250313e-16 relative error 1.5182689000126186e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4100519738106867 Order of pole (three term test) 22.78610728542622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 1.4535961214255768 y[1] (numeric) 1.4535961214255768 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40424820190979466 Order of pole (three term test) 22.79425055862767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 1.4446615167417063 y[1] (numeric) 1.4446615167417063 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3982827361180429 Order of pole (three term test) 22.802276135528967 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 1.4356824462767115 y[1] (numeric) 1.4356824462767115 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3921579625422095 Order of pole (three term test) 22.81018080600634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 1.4266598079301567 y[1] (numeric) 1.4266598079301567 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3858763310100625 Order of pole (three term test) 22.817961408297002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 1.4175945039583575 y[1] (numeric) 1.4175945039583575 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3794403540904605 Order of pole (three term test) 22.82561483026377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 1.4084874408841566 y[1] (numeric) 1.4084874408841568 absolute error 2.220446049250313e-16 relative error 1.576475575711532e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3728526060883596 Order of pole (three term test) 22.833138010639914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 1.3993395294062725 y[1] (numeric) 1.3993395294062727 absolute error 2.220446049250313e-16 relative error 1.5867814798260068e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36611572201512504 Order of pole (three term test) 22.840527940253576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 1.3901516843082296 y[1] (numeric) 1.3901516843082298 absolute error 2.220446049250313e-16 relative error 1.5972688982895103e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35923239653456235 Order of pole (three term test) 22.847781663231448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 1.380924824366881 y[1] (numeric) 1.3809248243668812 absolute error 2.220446049250313e-16 relative error 1.6079412941745987e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35220538288508746 Order of pole (three term test) 22.854896278181062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 1.3716598722605322 y[1] (numeric) 1.3716598722605324 absolute error 2.220446049250313e-16 relative error 1.6188022221507132e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34503749177846765 Order of pole (three term test) 22.861868939351286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 1.3623577544766727 y[1] (numeric) 1.362357754476673 absolute error 2.220446049250313e-16 relative error 1.6298553312843005e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3377315902755749 Order of pole (three term test) 22.868696857770626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 1.3530194012193295 y[1] (numeric) 1.3530194012193297 absolute error 2.220446049250313e-16 relative error 1.6411043679412625e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33029060063959964 Order of pole (three term test) 22.875377302362747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 1.3436457463160463 y[1] (numeric) 1.3436457463160465 absolute error 2.220446049250313e-16 relative error 1.652553178796005e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3227174991671847 Order of pole (three term test) 22.881907601038886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 1.3342377271245018 y[1] (numeric) 1.334237727124502 absolute error 2.220446049250313e-16 relative error 1.664205713951541e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31501531499794533 Order of pole (three term test) 22.888285141766648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 1.3247962844387753 y[1] (numeric) 1.3247962844387757 absolute error 4.440892098500626e-16 relative error 3.352132060350641e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30718712890285504 Order of pole (three term test) 22.89450737361477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 1.315322362395268 y[1] (numeric) 1.3153223623952681 absolute error 2.220446049250313e-16 relative error 1.6881382942556907e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992360720519776 Order of pole (three term test) 22.900571807773474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 1.3058169083782885 y[1] (numeric) 1.3058169083782887 absolute error 2.220446049250313e-16 relative error 1.7004267864841134e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29116532476204027 Order of pole (three term test) 22.906476018549945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 1.296280872925318 y[1] (numeric) 1.2962808729253181 absolute error 2.220446049250313e-16 relative error 1.712935904268518e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2829781152243507 Order of pole (three term test) 22.912217644338615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 1.2867152096319545 y[1] (numeric) 1.286715209631955 absolute error 4.440892098500626e-16 relative error 3.451340331766869e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27467771821356246 Order of pole (three term test) 22.917794388565703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 1.2771208750565568 y[1] (numeric) 1.277120875056557 absolute error 2.220446049250313e-16 relative error 1.7386342143628193e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2662674537778099 Order of pole (three term test) 22.92320402060789 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 1.2674988286245865 y[1] (numeric) 1.2674988286245867 absolute error 2.220446049250313e-16 relative error 1.751832821541782e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25775068591073125 Order of pole (three term test) 22.928444376684475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 1.2578500325326687 y[1] (numeric) 1.257850032532669 absolute error 2.220446049250313e-16 relative error 1.7652708922537186e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24913082120591842 Order of pole (three term test) 22.933513360722902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 1.248175451652372 y[1] (numeric) 1.2481754516523722 absolute error 2.220446049250313e-16 relative error 1.7789534686896946e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2404113074943233 Order of pole (three term test) 22.93840894519714 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 1.2384760534337222 y[1] (numeric) 1.2384760534337225 absolute error 2.220446049250313e-16 relative error 1.792885734927245e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23159563246517184 Order of pole (three term test) 22.943129171938683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 1.2287528078084584 y[1] (numeric) 1.2287528078084586 absolute error 2.220446049250313e-16 relative error 1.8070730216361325e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22268732227093468 Order of pole (three term test) 22.94767215291975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 1.2190066870930407 y[1] (numeric) 1.2190066870930407 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2136899401169141 Order of pole (three term test) 22.95203607100853 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 1.2092386658914185 y[1] (numeric) 1.2092386658914185 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20460708483600787 Order of pole (three term test) 22.956219180695985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 1.199449720997572 y[1] (numeric) 1.199449720997572 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19544238944922535 Order of pole (three term test) 22.960219808793994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 1.1896408312978335 y[1] (numeric) 1.1896408312978335 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18619951971252688 Order of pole (three term test) 22.96403635510467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 1.1798129776729984 y[1] (numeric) 1.1798129776729986 absolute error 2.220446049250313e-16 relative error 1.8820322299130875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1768821726505706 Order of pole (three term test) 22.96766729306037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 1.1699671429002398 y[1] (numeric) 1.16996714290024 absolute error 2.220446049250313e-16 relative error 1.8978704339901662e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1674940750779515 Order of pole (three term test) 22.971111170334336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 1.1601043115548302 y[1] (numeric) 1.1601043115548304 absolute error 2.220446049250313e-16 relative error 1.9140055141027445e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15803898210852585 Order of pole (three term test) 22.97436660942156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 1.1502254699116847 y[1] (numeric) 1.150225469911685 absolute error 2.220446049250313e-16 relative error 1.9304441671082113e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14852067565341512 Order of pole (three term test) 22.977432308189815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 1.1403316058467357 y[1] (numeric) 1.1403316058467359 absolute error 2.220446049250313e-16 relative error 1.947193288220364e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1389429629082923 Order of pole (three term test) 22.98030704040048 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 1.1304237087381444 y[1] (numeric) 1.1304237087381448 absolute error 4.440892098500626e-16 relative error 3.9285199559887605e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12930967483055425 Order of pole (three term test) 22.982989656198985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 1.1205027693673655 y[1] (numeric) 1.120502769367366 absolute error 4.440892098500626e-16 relative error 3.9633030992042515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460699014 Order of pole (three term test) 22.9854790825748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 1.1105697798200684 y[1] (numeric) 1.1105697798200689 absolute error 4.440892098500626e-16 relative error 3.998751072823292e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10989180611255736 Order of pole (three term test) 22.987774323790546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 1.1006257333869307 y[1] (numeric) 1.100625733386931 absolute error 2.220446049250313e-16 relative error 2.017439699885432e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10011499236088418 Order of pole (three term test) 22.989874461780342 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 1.0906716244643087 y[1] (numeric) 1.0906716244643089 absolute error 2.220446049250313e-16 relative error 2.035852037812849e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09029813394711528 Order of pole (three term test) 22.991778656516995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 1.0807084484547995 y[1] (numeric) 1.0807084484547997 absolute error 2.220446049250313e-16 relative error 2.054620792892953e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0804451574837268 Order of pole (three term test) 22.993486146348012 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 3 ) = sin ( x ) ; Iterations 140 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 9 Minutes 59.0 Seconds Percent Done 100.71428571428581%