##############ECHO OF PROBLEM################# ##############temp/lin_arccospostode.ode################# diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; ! #BEGIN FIRST INPUT BLOCK max_terms=30 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-0.8 x_end=0.8 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 $glob_max_h=0.001 #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) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 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 1.6 estimated_steps 1600000.0000000002 step_error 6.249999999999999e-17 est_needed_step_err 6.249999999999999e-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 2.9393916270719723e-185 estimated_step_error 2.9393916270719723e-185 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 1.972592334120113e-177 estimated_step_error 1.972592334120113e-177 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 1.3237843130618016e-169 estimated_step_error 1.3237843130618016e-169 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 8.883766227384433e-162 estimated_step_error 8.883766227384433e-162 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 5.961794708790758e-154 estimated_step_error 5.961794708790758e-154 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.0008928549824703e-146 estimated_step_error 4.0008928549824703e-146 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 2.6849539487050623e-138 estimated_step_error 2.6849539487050623e-138 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 1.8018423675041572e-130 estimated_step_error 1.8018423675041572e-130 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 1.2091963110661245e-122 estimated_step_error 1.2091963110661245e-122 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 8.114784005153489e-115 estimated_step_error 8.114784005153489e-115 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 5.4457459693195244e-107 estimated_step_error 5.4457459693195244e-107 best_h 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] -0.8 y[1] (analytic) -8.187131183512555 y[1] (numeric) -8.187131183512555 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11755164949561875 Order of pole (three term test) -24.659872112717082 Radius of convergence (six term test) for eq 1 9.961974436446708 Order of pole (six term test) -1.3468976839919797 TOP MAIN SOLVE Loop x[1] -0.79 y[1] (analytic) -8.172631155666924 y[1] (numeric) -8.172631155662819 absolute error 4.105160655853979e-12 relative error 5.02305876487213e-11% Correct digits 13 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10859317386955872 Order of pole (three term test) -24.868073614852804 Radius of convergence (six term test) for eq 1 9.960802394171978 Order of pole (six term test) -1.3468007733451746 TOP MAIN SOLVE Loop x[1] -0.78 y[1] (analytic) -8.158141201840962 y[1] (numeric) -8.158141201832716 absolute error 8.245848448495963e-12 relative error 1.0107508860762557e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09941269262807856 Order of pole (three term test) -25.045548925844987 Radius of convergence (six term test) for eq 1 9.959618026050807 Order of pole (six term test) -1.3467081088271335 TOP MAIN SOLVE Loop x[1] -0.77 y[1] (analytic) -8.143661323277081 y[1] (numeric) -8.143661323264663 absolute error 1.2418510664247151e-11 relative error 1.5249296564864798e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09003397870200915 Order of pole (three term test) -25.191739409389065 Radius of convergence (six term test) for eq 1 9.958421231213505 Order of pole (six term test) -1.346619895672248 TOP MAIN SOLVE Loop x[1] -0.76 y[1] (analytic) -8.129191521228385 y[1] (numeric) -8.129191521211752 absolute error 1.6633805444143945e-11 relative error 2.0461820097000796e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08048145273509541 Order of pole (three term test) -25.30617289883964 Radius of convergence (six term test) for eq 1 9.95721191306813 Order of pole (six term test) -1.3465363303640192 TOP MAIN SOLVE Loop x[1] -0.75 y[1] (analytic) -8.114731796958676 y[1] (numeric) -8.114731796937795 absolute error 2.0881074647149944e-11 relative error 2.5732304122455373e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07078011281586598 Order of pole (three term test) -25.388465745249352 Radius of convergence (six term test) for eq 1 9.95598997949792 Order of pole (six term test) -1.3464576002176507 TOP MAIN SOLVE Loop x[1] -0.74 y[1] (analytic) -8.100282151742475 y[1] (numeric) -8.100282151717309 absolute error 2.5165647343783348e-11 relative error 3.1067618229038965e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06095546149703062 Order of pole (three term test) -25.438324554656425 Radius of convergence (six term test) for eq 1 9.954755343048152 Order of pole (six term test) -1.34638388298392 TOP MAIN SOLVE Loop x[1] -0.73 y[1] (analytic) -8.085842586865027 y[1] (numeric) -8.085842586835541 absolute error 2.948574717720476e-11 relative error 3.6465893146501033e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.051033430417972536 Order of pole (three term test) -25.45554760311574 Radius of convergence (six term test) for eq 1 9.953507921106882 Order of pole (six term test) -1.346315346465076 TOP MAIN SOLVE Loop x[1] -0.72 y[1] (analytic) -8.07141310362232 y[1] (numeric) -8.071413103588476 absolute error 3.384315050425357e-11 relative error 4.192964734894478e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04104030286469598 Order of pole (three term test) -25.44002591989354 Radius of convergence (six term test) for eq 1 9.952247636074299 Order of pole (six term test) -1.346252148153832 TOP MAIN SOLVE Loop x[1] -0.71 y[1] (analytic) -8.05699370332108 y[1] (numeric) -8.056993703282853 absolute error 3.822719918389339e-11 relative error 4.744598369009051e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.031002634617748073 Order of pole (three term test) -25.39174403127388 Radius of convergence (six term test) for eq 1 9.950974415525106 Order of pole (six term test) -1.3461944348862165 TOP MAIN SOLVE Loop x[1] -0.7 y[1] (analytic) -8.042584387278817 y[1] (numeric) -8.042584387236165 absolute error 4.2652104070839414e-11 relative error 5.303283374720128e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02094717345190706 Order of pole (three term test) -25.31078035953361 Radius of convergence (six term test) for eq 1 9.949688192360624 Order of pole (six term test) -1.3461423425152006 TOP MAIN SOLVE Loop x[1] -0.69 y[1] (analytic) -8.028185156823803 y[1] (numeric) -8.028185156776688 absolute error 4.711431245141284e-11 relative error 5.868613083913067e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010900777661679907 Order of pole (three term test) -25.19730727381098 Radius of convergence (six term test) for eq 1 9.948388904950479 Order of pole (six term test) -1.3460959956053191 TOP MAIN SOLVE Loop x[1] -0.6799999999999999 y[1] (analytic) -8.013796013295094 y[1] (numeric) -8.013796013243482 absolute error 5.161204796877428e-11 relative error 6.440399516427491e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0008903339937522495 Order of pole (three term test) -25.051590791796116 Radius of convergence (six term test) for eq 1 9.94707649726751 Order of pole (six term test) -1.34605550714085 TOP MAIN SOLVE Loop x[1] -0.6699999999999999 y[1] (analytic) -7.999416958042559 y[1] (numeric) -7.999416957986412 absolute error 5.6147086979763117e-11 relative error 7.018897411431119e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.945750919003027 Order of pole (six term test) -1.3460209782747548 TOP MAIN SOLVE Loop x[1] -0.6599999999999999 y[1] (analytic) -7.985047992426874 y[1] (numeric) -7.985047992366155 absolute error 6.071854130595966e-11 relative error 7.604029601768948e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.944412125692416 Order of pole (six term test) -1.3459924980542688 TOP MAIN SOLVE Loop x[1] -0.6499999999999999 y[1] (analytic) -7.970689117819537 y[1] (numeric) -7.970689117754213 absolute error 6.532463459052451e-11 relative error 8.195606882281055e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.943060078802764 Order of pole (six term test) -1.3459701432267348 TOP MAIN SOLVE Loop x[1] -0.6399999999999999 y[1] (analytic) -7.956340335602894 y[1] (numeric) -7.956340335532928 absolute error 6.996625501187737e-11 relative error 8.793773526604132e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.941694745831613 Order of pole (six term test) -1.345953978020452 TOP MAIN SOLVE Loop x[1] -0.6299999999999999 y[1] (analytic) -7.942001647170137 y[1] (numeric) -7.942001647095491 absolute error 7.464606710527733e-11 relative error 9.39889846684619e-10% Correct digits 12 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.940316100384255 Order of pole (six term test) -1.3459440539703031 TOP MAIN SOLVE Loop x[1] -0.6199999999999999 y[1] (analytic) -7.927673053925329 y[1] (numeric) -7.927673053845966 absolute error 7.936229451388499e-11 relative error 1.001079307560361e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.938924122243202 Order of pole (six term test) -1.345940409759006 TOP MAIN SOLVE Loop x[1] -0.6099999999999999 y[1] (analytic) -7.913354557283403 y[1] (numeric) -7.913354557199289 absolute error 8.411404905928066e-11 relative error 1.0629379544464186e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.93751879742504 Order of pole (six term test) -1.3459430710843634 TOP MAIN SOLVE Loop x[1] -0.5999999999999999 y[1] (analytic) -7.899046158670194 y[1] (numeric) -7.8990461585812906 absolute error 8.890310709830374e-11 relative error 1.1254916772542394e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.93610011822697 Order of pole (six term test) -1.345952050547405 TOP MAIN SOLVE Loop x[1] -0.5899999999999999 y[1] (analytic) -7.884747859522434 y[1] (numeric) -7.884747859428705 absolute error 9.372858045253452e-11 relative error 1.1887327549648685e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.934668083260414 Order of pole (six term test) -1.345967347567207 TOP MAIN SOLVE Loop x[1] -0.5799999999999998 y[1] (analytic) -7.87045966128778 y[1] (numeric) -7.870459661189191 absolute error 9.85895809435533e-11 relative error 1.2526534050925036e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.933222697474417 Order of pole (six term test) -1.3459889483165846 TOP MAIN SOLVE Loop x[1] -0.5699999999999998 y[1] (analytic) -7.856181565424819 y[1] (numeric) -7.856181565321334 absolute error 1.0348522039294039e-10 relative error 1.3172457832235e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.931763972165498 Order of pole (six term test) -1.3460168256856306 TOP MAIN SOLVE Loop x[1] -0.5599999999999998 y[1] (analytic) -7.841913573403087 y[1] (numeric) -7.8419135732946685 absolute error 1.0841816333595489e-10 relative error 1.3825472867192746e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.930291924977052 Order of pole (six term test) -1.3460509392668172 TOP MAIN SOLVE Loop x[1] -0.5499999999999998 y[1] (analytic) -7.827655686703078 y[1] (numeric) -7.827655686589689 absolute error 1.1338929795101649e-10 relative error 1.4485728868175958e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.928806579885263 Order of pole (six term test) -1.3460912353678331 TOP MAIN SOLVE Loop x[1] -0.5399999999999998 y[1] (analytic) -7.8134079068162645 y[1] (numeric) -7.813407906697868 absolute error 1.183968478812858e-10 relative error 1.5153035563137398e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.927307967173741 Order of pole (six term test) -1.3461376470477528 TOP MAIN SOLVE Loop x[1] -0.5299999999999998 y[1] (analytic) -7.7991702352451036 y[1] (numeric) -7.799170235121663 absolute error 1.234408131267628e-10 relative error 1.5827428996090306e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.925796123395463 Order of pole (six term test) -1.3461900941794696 TOP MAIN SOLVE Loop x[1] -0.5199999999999998 y[1] (analytic) -7.7849426735030605 y[1] (numeric) -7.784942673374539 absolute error 1.2852119368744752e-10 relative error 1.6508945419069566e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.92427109132245 Order of pole (six term test) -1.3462484835374333 TOP MAIN SOLVE Loop x[1] -0.5099999999999998 y[1] (analytic) -7.7707252231146136 y[1] (numeric) -7.7707252229809765 absolute error 1.3363710138492024e-10 relative error 1.7197506995538399e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.922732919882971 Order of pole (six term test) -1.3463127089113875 TOP MAIN SOLVE Loop x[1] -0.4999999999999998 y[1] (analytic) -7.7565178856152786 y[1] (numeric) -7.756517885476487 absolute error 1.3879120075444007e-10 relative error 1.7893493291858836e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.921181664085863 Order of pole (six term test) -1.3463826512466976 TOP MAIN SOLVE Loop x[1] -0.48999999999999977 y[1] (analytic) -7.742320662551613 y[1] (numeric) -7.742320662407631 absolute error 1.439817154391676e-10 relative error 1.8596713015980404e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.919617384933272 Order of pole (six term test) -1.3464581788089127 TOP MAIN SOLVE Loop x[1] -0.47999999999999976 y[1] (analytic) -7.7281335554812385 y[1] (numeric) -7.728133555332031 absolute error 1.4920775726068314e-10 relative error 1.9307088340218495e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.918040149319955 Order of pole (six term test) -1.3465391473762605 TOP MAIN SOLVE Loop x[1] -0.46999999999999975 y[1] (analytic) -7.713956565972856 y[1] (numeric) -7.713956565818383 absolute error 1.5447287893266548e-10 relative error 2.002511650299705e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.916450029920291 Order of pole (six term test) -1.3466254004577483 TOP MAIN SOLVE Loop x[1] -0.45999999999999974 y[1] (analytic) -7.6997896956062535 y[1] (numeric) -7.699789695446479 absolute error 1.5977441591985553e-10 relative error 2.0750490888215808e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.914847105063243 Order of pole (six term test) -1.3467167695365365 TOP MAIN SOLVE Loop x[1] -0.44999999999999973 y[1] (analytic) -7.68563294597233 y[1] (numeric) -7.685632945807216 absolute error 1.6511414457909268e-10 relative error 2.1483480376931226e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.91323145859396 Order of pole (six term test) -1.3468130743411741 TOP MAIN SOLVE Loop x[1] -0.4399999999999997 y[1] (analytic) -7.6714863186731 y[1] (numeric) -7.671486318502612 absolute error 1.7048851219669814e-10 relative error 2.222366111528003e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.911603179723981 Order of pole (six term test) -1.346914123140838 TOP MAIN SOLVE Loop x[1] -0.4299999999999997 y[1] (analytic) -7.657349815321725 y[1] (numeric) -7.657349815145823 absolute error 1.759019596647704e-10 relative error 2.297164997122178e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.90996236286832 Order of pole (six term test) -1.3470197130680468 TOP MAIN SOLVE Loop x[1] -0.4199999999999997 y[1] (analytic) -7.643223437542514 y[1] (numeric) -7.6432234373611605 absolute error 1.8135359880488977e-10 relative error 2.372737108719138e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.908309107470496 Order of pole (six term test) -1.3471296304668208 TOP MAIN SOLVE Loop x[1] -0.4099999999999997 y[1] (analytic) -7.629107186970943 y[1] (numeric) -7.629107186784101 absolute error 1.8684165326021684e-10 relative error 2.4490631561620563e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.90664351781598 Order of pole (six term test) -1.3472436512651988 TOP MAIN SOLVE Loop x[1] -0.3999999999999997 y[1] (analytic) -7.615001065253674 y[1] (numeric) -7.615001065061309 absolute error 1.9236523485233192e-10 relative error 2.526135363658334e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.90496570283272 Order of pole (six term test) -1.347361541375136 TOP MAIN SOLVE Loop x[1] -0.3899999999999997 y[1] (analytic) -7.600905074048573 y[1] (numeric) -7.600905073850644 absolute error 1.979287844733335e-10 relative error 2.6040160026351706e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.903275775880989 Order of pole (six term test) -1.3474830571149479 TOP MAIN SOLVE Loop x[1] -0.37999999999999967 y[1] (analytic) -7.586819215024715 y[1] (numeric) -7.586819214821185 absolute error 2.035296375879625e-10 relative error 2.6826741460360404e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.901573854530708 Order of pole (six term test) -1.3476079456583498 TOP MAIN SOLVE Loop x[1] -0.36999999999999966 y[1] (analytic) -7.572743489862411 y[1] (numeric) -7.572743489653243 absolute error 2.091677941962189e-10 relative error 2.7621138161649162e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.89986006032813 Order of pole (six term test) -1.3477359455062086 TOP MAIN SOLVE Loop x[1] -0.35999999999999965 y[1] (analytic) -7.5586779002532225 y[1] (numeric) -7.558677900038379 absolute error 2.148432542981027e-10 relative error 2.8423390589365537e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.898134518551013 Order of pole (six term test) -1.34786678698274 TOP MAIN SOLVE Loop x[1] -0.34999999999999964 y[1] (analytic) -7.544622447899971 y[1] (numeric) -7.544622447679416 absolute error 2.205551297151942e-10 relative error 2.9233421717025117e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.896397357953498 Order of pole (six term test) -1.3480001927538048 TOP MAIN SOLVE Loop x[1] -0.33999999999999964 y[1] (analytic) -7.530577134516765 y[1] (numeric) -7.530577134290458 absolute error 2.263069731611722e-10 relative error 3.0051743593978107e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.894648710499887 Order of pole (six term test) -1.3481358783690212 TOP MAIN SOLVE Loop x[1] -0.3299999999999996 y[1] (analytic) -7.516541961829004 y[1] (numeric) -7.51654196159691 absolute error 2.3209434374393823e-10 relative error 3.087780856177946e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.892888711089018 Order of pole (six term test) -1.348273552824093 TOP MAIN SOLVE Loop x[1] -0.3199999999999996 y[1] (analytic) -7.50251693157341 y[1] (numeric) -7.502516931335489 absolute error 2.3792168235559075e-10 relative error 3.1712248639430176e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.891117497268615 Order of pole (six term test) -1.3484129191448382 TOP MAIN SOLVE Loop x[1] -0.3099999999999996 y[1] (analytic) -7.488502045498028 y[1] (numeric) -7.4885020452542435 absolute error 2.4378454810403127e-10 relative error 3.2554514457346084e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.889335208940436 Order of pole (six term test) -1.3485536749911766 TOP MAIN SOLVE Loop x[1] -0.2999999999999996 y[1] (analytic) -7.474497305362258 y[1] (numeric) -7.474497305112573 absolute error 2.496847173460992e-10 relative error 3.3404884254486733e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.887541988056663 Order of pole (six term test) -1.3486955132802123 TOP MAIN SOLVE Loop x[1] -0.2899999999999996 y[1] (analytic) -7.460502712936863 y[1] (numeric) -7.4605027126812375 absolute error 2.5562574279547334e-10 relative error 3.426387639430869e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.88573797830815 Order of pole (six term test) -1.3488381228271695 TOP MAIN SOLVE Loop x[1] -0.2799999999999996 y[1] (analytic) -7.446518270003987 y[1] (numeric) -7.446518269742383 absolute error 2.616040717384749e-10 relative error 3.5131058872475554e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.883923324804648 Order of pole (six term test) -1.3489811890040482 TOP MAIN SOLVE Loop x[1] -0.2699999999999996 y[1] (analytic) -7.432543978357177 y[1] (numeric) -7.4325439780895595 absolute error 2.6761792781826443e-10 relative error 3.600623536134344e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.882098173748101 Order of pole (six term test) -1.3491243944136713 TOP MAIN SOLVE Loop x[1] -0.25999999999999956 y[1] (analytic) -7.418579839801397 y[1] (numeric) -7.418579839527724 absolute error 2.736726401053602e-10 relative error 3.689016577500185e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.880262672099532 Order of pole (six term test) -1.349267419578096 TOP MAIN SOLVE Loop x[1] -0.24999999999999956 y[1] (analytic) -7.404625856153042 y[1] (numeric) -7.404625855873279 absolute error 2.7976287952924395e-10 relative error 3.7782176299531545e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.878416967239465 Order of pole (six term test) -1.3494099436416995 TOP MAIN SOLVE Loop x[1] -0.23999999999999955 y[1] (analytic) -7.390682029239967 y[1] (numeric) -7.390682028954075 absolute error 2.858921988035945e-10 relative error 3.8682789717175086e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.876561206623945 Order of pole (six term test) -1.3495516450844214 TOP MAIN SOLVE Loop x[1] -0.22999999999999954 y[1] (analytic) -7.376748360901489 y[1] (numeric) -7.37674836060943 absolute error 2.920588215715725e-10 relative error 3.9591810277757786e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.874695537435207 Order of pole (six term test) -1.34969220244745 TOP MAIN SOLVE Loop x[1] -0.21999999999999953 y[1] (analytic) -7.362824852988426 y[1] (numeric) -7.362824852690158 absolute error 2.9826807690369606e-10 relative error 4.051000571915477e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.87282010622919 Order of pole (six term test) -1.3498312950666023 TOP MAIN SOLVE Loop x[1] -0.20999999999999952 y[1] (analytic) -7.348911507363089 y[1] (numeric) -7.348911507058576 absolute error 3.0451285937260764e-10 relative error 4.143645750360544e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.870935058579914 Order of pole (six term test) -1.349968603813581 TOP MAIN SOLVE Loop x[1] -0.1999999999999995 y[1] (analytic) -7.33500832589932 y[1] (numeric) -7.3350083255885234 absolute error 3.10796721691986e-10 relative error 4.237169310286779e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.869040538721661 Order of pole (six term test) -1.3501038118429634 TOP MAIN SOLVE Loop x[1] -0.1899999999999995 y[1] (analytic) -7.32111531048251 y[1] (numeric) -7.321115310165388 absolute error 3.171214402186706e-10 relative error 4.331600128802919e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.8671366891898 Order of pole (six term test) -1.350236605343488 TOP MAIN SOLVE Loop x[1] -0.1799999999999995 y[1] (analytic) -7.307232463009601 y[1] (numeric) -7.307232462686119 absolute error 3.234825740605629e-10 relative error 4.426882211536095e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.865223650461436 Order of pole (six term test) -1.3503666742908695 TOP MAIN SOLVE Loop x[1] -0.16999999999999948 y[1] (analytic) -7.293359785389122 y[1] (numeric) -7.293359785059242 absolute error 3.298801232176629e-10 relative error 4.523020019916141e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.863301560595922 Order of pole (six term test) -1.350493713202443 TOP MAIN SOLVE Loop x[1] -0.15999999999999948 y[1] (analytic) -7.279497279541203 y[1] (numeric) -7.279497279204885 absolute error 3.363176404036494e-10 relative error 4.620066846495836e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.861370554877716 Order of pole (six term test) -1.3506174218881242 TOP MAIN SOLVE Loop x[1] -0.14999999999999947 y[1] (analytic) -7.265644947397586 y[1] (numeric) -7.265644947054794 absolute error 3.4279246108326333e-10 relative error 4.717990812447352e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.859430765460418 Order of pole (six term test) -1.3507375062004972 TOP MAIN SOLVE Loop x[1] -0.13999999999999946 y[1] (analytic) -7.2518027909016585 y[1] (numeric) -7.251802790552349 absolute error 3.4930902614860315e-10 relative error 4.816857769310237e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.857482321015235 Order of pole (six term test) -1.3508536787769234 TOP MAIN SOLVE Loop x[1] -0.12999999999999945 y[1] (analytic) -7.237970812008458 y[1] (numeric) -7.237970811652593 absolute error 3.558646710644098e-10 relative error 4.916635895712616e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.855525346382557 Order of pole (six term test) -1.3509656597767297 TOP MAIN SOLVE Loop x[1] -0.11999999999999944 y[1] (analytic) -7.224149012684695 y[1] (numeric) -7.224149012322239 absolute error 3.624558431170044e-10 relative error 5.017280824088452e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.002896410438160947 Order of pole (three term test) -0.8941559561456788 Radius of convergence (six term test) for eq 1 9.853559962229808 Order of pole (six term test) -1.3510731776066294 TOP MAIN SOLVE Loop x[1] -0.10999999999999943 y[1] (analytic) -7.210337394908786 y[1] (numeric) -7.210337394539697 absolute error 3.6908875955532494e-10 relative error 5.118883338468159e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013351303981334807 Order of pole (three term test) -0.9202106557835114 Radius of convergence (six term test) for eq 1 9.851586284714774 Order of pole (six term test) -1.3511759696362464 TOP MAIN SOLVE Loop x[1] -0.09999999999999942 y[1] (analytic) -7.19653596067085 y[1] (numeric) -7.196535960295091 absolute error 3.757589794872729e-10 relative error 5.2213868108323215e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02388900693063442 Order of pole (three term test) -0.979761929075836 Radius of convergence (six term test) for eq 1 9.849604425156638 Order of pole (six term test) -1.3512737828989376 TOP MAIN SOLVE Loop x[1] -0.08999999999999941 y[1] (analytic) -7.182744711972754 y[1] (numeric) -7.1827447115902805 absolute error 3.8247360834020583e-10 relative error 5.324894920776862e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03448405325271332 Order of pole (three term test) -1.0727879439050267 Radius of convergence (six term test) for eq 1 9.84761448971486 Order of pole (six term test) -1.3513663747777294 TOP MAIN SOLVE Loop x[1] -0.0799999999999994 y[1] (analytic) -7.168963650828103 y[1] (numeric) -7.16896365043888 absolute error 3.892228761515071e-10 relative error 5.4292767422045315e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04511070982005685 Order of pole (three term test) -1.199185483679881 Radius of convergence (six term test) for eq 1 9.8456165790776 Order of pole (six term test) -1.351453513672718 TOP MAIN SOLVE Loop x[1] -0.0699999999999994 y[1] (analytic) -7.155192779262291 y[1] (numeric) -7.155192778866278 absolute error 3.9601300017011454e-10 relative error 5.534623767480713e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.055743024372210015 Order of pole (three term test) -1.3587694385111135 Radius of convergence (six term test) for eq 1 9.843610788159921 Order of pole (six term test) -1.3515349796494416 TOP MAIN SOLVE Loop x[1] -0.05999999999999939 y[1] (analytic) -7.141432099312498 y[1] (numeric) -7.141432098909655 absolute error 4.028430922176085e-10 relative error 5.640928690708829e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06635487449399448 Order of pole (three term test) -1.5512723998039335 Radius of convergence (six term test) for eq 1 9.841597205813988 Order of pole (six term test) -1.3516105650636803 TOP MAIN SOLVE Loop x[1] -0.04999999999999938 y[1] (analytic) -7.12768161302772 y[1] (numeric) -7.127681612618009 absolute error 4.0971137593714957e-10 relative error 5.748171680231814e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0769200176713182 Order of pole (three term test) -1.7763443629604818 Radius of convergence (six term test) for eq 1 9.839575914550466 Order of pole (six term test) -1.3516800751641327 TOP MAIN SOLVE Loop x[1] -0.03999999999999937 y[1] (analytic) -7.113941322468791 y[1] (numeric) -7.113941322052173 absolute error 4.1661785132873774e-10 relative error 5.856357712888143e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08741214248325607 Order of pole (three term test) -2.033552543738596 Radius of convergence (six term test) for eq 1 9.837546990273482 Order of pole (six term test) -1.351743328668121 TOP MAIN SOLVE Loop x[1] -0.02999999999999936 y[1] (analytic) -7.100211229708398 y[1] (numeric) -7.100211229284833 absolute error 4.235651829276321e-10 relative error 5.965529323344197e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09780492098556637 Order of pole (three term test) -2.3223813146550025 Radius of convergence (six term test) for eq 1 9.835510502029537 Order of pole (six term test) -1.351800158309528 TOP MAIN SOLVE Loop x[1] -0.01999999999999935 y[1] (analytic) -7.086491336831104 y[1] (numeric) -7.086491336400552 absolute error 4.305515943769933e-10 relative error 6.075666700377635e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10807206233564179 Order of pole (three term test) -2.6422322686406226 Radius of convergence (six term test) for eq 1 9.833466511771299 Order of pole (six term test) -1.3518504113567946 TOP MAIN SOLVE Loop x[1] -0.009999999999999343 y[1] (analytic) -7.0727816459333726 y[1] (numeric) -7.072781645495793 absolute error 4.375797502120804e-10 relative error 6.186812658972372e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11818736770201778 Order of pole (three term test) -2.9924244179422157 Radius of convergence (six term test) for eq 1 9.831415074137094 Order of pole (six term test) -1.3518939500993241 TOP MAIN SOLVE Loop x[1] 6.591949208711867e-16 y[1] (analytic) -7.059082159123578 y[1] (numeric) -7.059082158678933 absolute error 4.446452095407949e-10 relative error 6.298909681425211e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12812478649296946 Order of pole (three term test) -3.372194537007769 Radius of convergence (six term test) for eq 1 9.82935623624706 Order of pole (six term test) -1.3519306523003003 TOP MAIN SOLVE Loop x[1] 0.010000000000000661 y[1] (analytic) -7.045392878522046 y[1] (numeric) -7.0453928780702935 absolute error 4.517524132552353e-10 relative error 6.4120258592307506e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1378584739283652 Order of pole (three term test) -3.7806976587806616 Radius of convergence (six term test) for eq 1 9.827290037516434 Order of pole (six term test) -1.3519604116147619 TOP MAIN SOLVE Loop x[1] 0.02000000000000067 y[1] (analytic) -7.031713806261049 y[1] (numeric) -7.031713805802151 absolute error 4.588978086417228e-10 relative error 6.526116125959499e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14736284996681334 Order of pole (three term test) -4.217007734447811 Radius of convergence (six term test) for eq 1 9.82521650948678 Order of pole (six term test) -1.3519831379710627 TOP MAIN SOLVE Loop x[1] 0.03000000000000068 y[1] (analytic) -7.018044944484847 y[1] (numeric) -7.018044944018767 absolute error 4.660805075218377e-10 relative error 6.641173021955474e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1566126595862683 Order of pole (three term test) -4.680118467229018 Radius of convergence (six term test) for eq 1 9.823135675676651 Order of pole (six term test) -1.3519987579129626 TOP MAIN SOLVE Loop x[1] 0.04000000000000069 y[1] (analytic) -7.004386295349711 y[1] (numeric) -7.004386294876403 absolute error 4.733085035013573e-10 relative error 6.757315823880131e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1655830344005984 Order of pole (three term test) -5.1689443312430186 Radius of convergence (six term test) for eq 1 9.821047551452207 Order of pole (six term test) -1.352007214900544 TOP MAIN SOLVE Loop x[1] 0.0500000000000007 y[1] (analytic) -6.9907378610239235 y[1] (numeric) -6.99073786054335 absolute error 4.805738029745044e-10 relative error 6.874436039919188e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.174249555577289 Order of pole (three term test) -5.6823217868311335 Radius of convergence (six term test) for eq 1 9.818952143912288 Order of pole (six term test) -1.3520084695818984 TOP MAIN SOLVE Loop x[1] 0.060000000000000706 y[1] (analytic) -6.977099643687822 y[1] (numeric) -6.97709964319994 absolute error 4.87881735011797e-10 relative error 6.992615268913112e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18258831800241962 Order of pole (three term test) -6.2190107039453535 Radius of convergence (six term test) for eq 1 9.8168494518051 Order of pole (six term test) -1.352002499999461 TOP MAIN SOLVE Loop x[1] 0.07000000000000071 y[1] (analytic) -6.96347164553381 y[1] (numeric) -6.963471645038582 absolute error 4.952278587211367e-10 relative error 7.111795436673646e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19057599561848446 Order of pole (three term test) -6.7776960053052475 Radius of convergence (six term test) for eq 1 9.814739465454478 Order of pole (six term test) -1.3519893017767615 TOP MAIN SOLVE Loop x[1] 0.08000000000000072 y[1] (analytic) -6.949853868766386 y[1] (numeric) -6.949853868263769 absolute error 5.026166149946221e-10 relative error 7.232045802480126e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19818990783853316 Order of pole (three term test) -7.356989540980666 Radius of convergence (six term test) for eq 1 9.812622166713215 Order of pole (six term test) -1.3519688882492638 TOP MAIN SOLVE Loop x[1] 0.09000000000000073 y[1] (analytic) -6.936246315602156 y[1] (numeric) -6.936246315092111 absolute error 5.100444511185742e-10 relative error 7.3533209161170884e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2054080869166834 Order of pole (three term test) -7.955432205855913 Radius of convergence (six term test) for eq 1 9.810497528937573 Order of pole (six term test) -1.3519412905512347 TOP MAIN SOLVE Loop x[1] 0.10000000000000074 y[1] (analytic) -6.922648988269866 y[1] (numeric) -6.922648987752352 absolute error 5.175140316282523e-10 relative error 7.47566477088695e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2122093461304245 Order of pole (three term test) -8.57149631106225 Radius of convergence (six term test) for eq 1 9.80836551698278 Order of pole (six term test) -1.3519065576590936 TOP MAIN SOLVE Loop x[1] 0.11000000000000075 y[1] (analytic) -6.909061889010415 y[1] (numeric) -6.909061888485393 absolute error 5.250218038099774e-10 relative error 7.599031710007975e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21857334860446379 Order of pole (three term test) -9.203588219919288 Radius of convergence (six term test) for eq 1 9.806226087220985 Order of pole (six term test) -1.351864756387986 TOP MAIN SOLVE Loop x[1] 0.12000000000000076 y[1] (analytic) -6.895485020076892 y[1] (numeric) -6.89548501954432 absolute error 5.325722085558482e-10 relative error 7.723491632643841e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22448067657939821 Order of pole (three term test) -9.850051258191247 Radius of convergence (six term test) for eq 1 9.804079187581545 Order of pole (six term test) -1.3518159713417113 TOP MAIN SOLVE Loop x[1] 0.13000000000000075 y[1] (analytic) -6.88191838373458 y[1] (numeric) -6.881918383194417 absolute error 5.401625813306055e-10 relative error 7.849011732067038e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2299129009014581 Order of pole (three term test) -10.509168907536006 Radius of convergence (six term test) for eq 1 9.801924757613172 Order of pole (six term test) -1.351760304816997 TOP MAIN SOLVE Loop x[1] 0.14000000000000076 y[1] (analytic) -6.868361982260994 y[1] (numeric) -6.8683619817132 absolute error 5.477938103126689e-10 relative error 7.97561065837041e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23485265048221293 Order of pole (three term test) -11.17916828989051 Radius of convergence (six term test) for eq 1 9.799762728568998 Order of pole (six term test) -1.3516978766595908 TOP MAIN SOLVE Loop x[1] 0.15000000000000077 y[1] (analytic) -6.854815817945896 y[1] (numeric) -6.854815817390433 absolute error 5.554632309667795e-10 relative error 8.103255371392733e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2392836814498014 Order of pole (three term test) -11.85822394919844 Radius of convergence (six term test) for eq 1 9.797593023513405 Order of pole (six term test) -1.3516288240746839 TOP MAIN SOLVE Loop x[1] 0.16000000000000078 y[1] (analytic) -6.841279893091326 y[1] (numeric) -6.84127989252815 absolute error 5.631761723634554e-10 relative error 8.232029403331084e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2431909456862359 Order of pole (three term test) -12.54446193533554 Radius of convergence (six term test) for eq 1 9.795415557450532 Order of pole (six term test) -1.3515533013915526 TOP MAIN SOLVE Loop x[1] 0.1700000000000008 y[1] (analytic) -6.8277542100116175 y[1] (numeric) -6.827754209440687 absolute error 5.709308581458572e-10 relative error 8.361912871859014e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24656065841902208 Order of pole (three term test) -13.235964193329261 Radius of convergence (six term test) for eq 1 9.793230237474978 Order of pole (six term test) -1.351471479781285 TOP MAIN SOLVE Loop x[1] 0.1800000000000008 y[1] (analytic) -6.814238771033423 y[1] (numeric) -6.814238770454695 absolute error 5.787281764924046e-10 relative error 8.49292482899945e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24938036451010012 Order of pole (three term test) -13.930773259003356 Radius of convergence (six term test) for eq 1 9.79103696294427 Order of pole (six term test) -1.3513835469283961 TOP MAIN SOLVE Loop x[1] 0.1900000000000008 y[1] (analytic) -6.800733578495738 y[1] (numeric) -6.800733577909174 absolute error 5.865636865109991e-10 relative error 8.625006107660842e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25163900306136355 Order of pole (three term test) -14.626897260010608 Radius of convergence (six term test) for eq 1 9.788835625671364 Order of pole (six term test) -1.351289706659788 TOP MAIN SOLVE Loop x[1] 0.20000000000000082 y[1] (analytic) -6.787238634749932 y[1] (numeric) -6.787238634155489 absolute error 5.944427172721589e-10 relative error 8.758241005829324e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2533269699341729 Order of pole (three term test) -15.32231521885885 Radius of convergence (six term test) for eq 1 9.786626110138835 Order of pole (six term test) -1.3511901785274425 TOP MAIN SOLVE Loop x[1] 0.21000000000000082 y[1] (analytic) -6.773753942159763 y[1] (numeric) -6.773753941557401 absolute error 6.023617160622052e-10 relative error 8.892583362278827e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25443617776078525 Order of pole (three term test) -16.014982651997748 Radius of convergence (six term test) for eq 1 9.784408293732435 Order of pole (six term test) -1.351085197349727 TOP MAIN SOLVE Loop x[1] 0.22000000000000083 y[1] (analytic) -6.760279503101406 y[1] (numeric) -6.7602795024910804 absolute error 6.103251237732366e-10 relative error 9.02810488077066e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2549601130089122 Order of pole (three term test) -16.702837456335587 Radius of convergence (six term test) for eq 1 9.782182046994865 Order of pole (six term test) -1.3509750127092275 TOP MAIN SOLVE Loop x[1] 0.23000000000000084 y[1] (analytic) -6.74681531996347 y[1] (numeric) -6.746815319345144 absolute error 6.183258349778953e-10 relative error 9.164706689811144e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2548938896471455 Order of pole (three term test) -17.383806071713916 Radius of convergence (six term test) for eq 1 9.779947233897884 Order of pole (six term test) -1.3508598884110494 TOP MAIN SOLVE Loop x[1] 0.24000000000000085 y[1] (analytic) -6.733361395147043 y[1] (numeric) -6.733361394520671 absolute error 6.263718432819587e-10 relative error 9.30251335883153e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2542342989491762 Order of pole (three term test) -18.055809904912483 Radius of convergence (six term test) for eq 1 9.777703712133016 Order of pole (six term test) -1.350740101900902 TOP MAIN SOLVE Loop x[1] 0.25000000000000083 y[1] (analytic) -6.71991773106569 y[1] (numeric) -6.7199177304312325 absolute error 6.344578196149087e-10 relative error 9.441452187455455e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25297985496901054 Order of pole (three term test) -18.71677199770998 Radius of convergence (six term test) for eq 1 9.775451333419868 Order of pole (six term test) -1.3506159436449217 TOP MAIN SOLVE Loop x[1] 0.26000000000000084 y[1] (analytic) -6.706484330145499 y[1] (numeric) -6.706484329502912 absolute error 6.425873166904239e-10 relative error 9.581582317310548e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2511308352181341 Order of pole (three term test) -19.364623918425025 Radius of convergence (six term test) for eq 1 9.773189943830712 Order of pole (six term test) -1.3504877164739213 TOP MAIN SOLVE Loop x[1] 0.27000000000000085 y[1] (analytic) -6.693061194825092 y[1] (numeric) -6.693061194174337 absolute error 6.507550054379863e-10 relative error 9.722830652454422e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24868931607916755 Order of pole (three term test) -19.997312853239713 Radius of convergence (six term test) for eq 1 9.770919384131451 Order of pole (six term test) -1.3503557348917656 TOP MAIN SOLVE Loop x[1] 0.28000000000000086 y[1] (analytic) -6.679648327555661 y[1] (numeric) -6.679648326896695 absolute error 6.589662149281139e-10 relative error 9.865283060032815e-09% Correct digits 11 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24565920249928605 Order of pole (three term test) -20.612808870502946 Radius of convergence (six term test) for eq 1 9.768639490137682 Order of pole (six term test) -1.350220324350346 TOP MAIN SOLVE Loop x[1] 0.29000000000000087 y[1] (analytic) -6.666245730800988 y[1] (numeric) -6.666245730133768 absolute error 6.672200569823872e-10 relative error 1.0008932822556136e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24204625152083312 Order of pole (three term test) -21.209112328165784 Radius of convergence (six term test) for eq 1 9.766350093084052 Order of pole (six term test) -1.3500818204950722 TOP MAIN SOLVE Loop x[1] 0.3000000000000009 y[1] (analytic) -6.652853407037465 y[1] (numeric) -6.652853406361951 absolute error 6.755147552439666e-10 relative error 1.0153759806722921e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2378580892262911 Order of pole (three term test) -21.7842613915616 Radius of convergence (six term test) for eq 1 9.764051020008143 Order of pole (six term test) -1.3499405683779067 TOP MAIN SOLVE Loop x[1] 0.3100000000000009 y[1] (analytic) -6.6394713587541325 y[1] (numeric) -6.6394713580702795 absolute error 6.838529742481114e-10 relative error 1.0299810591794365e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23310422070026807 Order of pole (three term test) -22.336339625949076 Radius of convergence (six term test) for eq 1 9.761742094144992 Order of pole (six term test) -1.3497969216462717 TOP MAIN SOLVE Loop x[1] 0.3200000000000009 y[1] (analytic) -6.6260995884526945 y[1] (numeric) -6.626099587760461 absolute error 6.922338258164018e-10 relative error 1.0447078504868202e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22779603264239762 Order of pole (three term test) -22.86348362564133 Radius of convergence (six term test) for eq 1 9.759423135334426 Order of pole (six term test) -1.3496512417030413 TOP MAIN SOLVE Loop x[1] 0.3300000000000009 y[1] (analytic) -6.612738098647552 y[1] (numeric) -6.612738097946895 absolute error 7.006564217704181e-10 relative error 1.0595556807454956e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22194678830202286 Order of pole (three term test) -23.36389063918941 Radius of convergence (six term test) for eq 1 9.757093960437027 Order of pole (six term test) -1.349503896846306 TOP MAIN SOLVE Loop x[1] 0.3400000000000009 y[1] (analytic) -6.599386891865819 y[1] (numeric) -6.599386891156698 absolute error 7.0912165028858e-10 relative error 1.0745265611910393e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21557161444810258 Order of pole (three term test) -23.83582614802108 Radius of convergence (six term test) for eq 1 9.754754383760337 Order of pole (six term test) -1.3493552613855968 TOP MAIN SOLVE Loop x[1] 0.3500000000000009 y[1] (analytic) -6.586045970647364 y[1] (numeric) -6.586045969929733 absolute error 7.176303995493072e-10 relative error 1.0896225181962539e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20868748013567381 Order of pole (three term test) -24.277631354202153 Radius of convergence (six term test) for eq 1 9.752404217492495 Order of pole (six term test) -1.349205714740238 TOP MAIN SOLVE Loop x[1] 0.36000000000000093 y[1] (analytic) -6.572715337544821 y[1] (numeric) -6.57271533681864 absolute error 7.261808931957603e-10 relative error 1.1048415394588177e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20131316708313512 Order of pole (three term test) -24.6877305316261 Radius of convergence (six term test) for eq 1 9.75004327214332 Order of pole (six term test) -1.3490556405198522 TOP MAIN SOLVE Loop x[1] 0.37000000000000094 y[1] (analytic) -6.559394995123624 y[1] (numeric) -6.559394994388851 absolute error 7.347722430495196e-10 relative error 1.1201829491832143e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19346923153209222 Order of pole (three term test) -25.06463819398934 Radius of convergence (six term test) for eq 1 9.747671356990638 Order of pole (six term test) -1.3489054255915072 TOP MAIN SOLVE Loop x[1] 0.38000000000000095 y[1] (analytic) -6.54608494596204 y[1] (numeric) -6.546084945218631 absolute error 7.434088900026836e-10 relative error 1.1356542057420997e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18517795752304822 Order of pole (three term test) -25.406966032404863 Radius of convergence (six term test) for eq 1 9.745288280532495 Order of pole (six term test) -1.3487554591322333 TOP MAIN SOLVE Loop x[1] 0.39000000000000096 y[1] (analytic) -6.532785192651178 y[1] (numeric) -6.532785191899092 absolute error 7.520863931631538e-10 relative error 1.151249231352634e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.176463301585136 Order of pole (three term test) -25.713429575477463 Radius of convergence (six term test) for eq 1 9.7428938509414 Order of pole (six term test) -1.3486061316747957 TOP MAIN SOLVE Loop x[1] 0.40000000000000097 y[1] (analytic) -6.519495737795036 y[1] (numeric) -6.5194957370342275 absolute error 7.608083052446091e-10 relative error 1.1669741584982195e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16735082890573005 Order of pole (three term test) -25.98285452512682 Radius of convergence (six term test) for eq 1 9.740487876523506 Order of pole (six term test) -1.3484578341407154 TOP MAIN SOLVE Loop x[1] 0.410000000000001 y[1] (analytic) -6.506216584010515 y[1] (numeric) -6.50621658324094 absolute error 7.695746262470493e-10 relative error 1.1828297080339027e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15786764111526624 Order of pole (three term test) -26.214182722419956 Radius of convergence (six term test) for eq 1 9.73807016617673 Order of pole (six term test) -1.3483109568731262 TOP MAIN SOLVE Loop x[1] 0.420000000000001 y[1] (analytic) -6.492947733927451 y[1] (numeric) -6.492947733149067 absolute error 7.783844679920549e-10 relative error 1.1988152375303752e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14804229589315696 Order of pole (three term test) -26.406477699164224 Radius of convergence (six term test) for eq 1 9.735640529851768 Order of pole (six term test) -1.3481658886609953 TOP MAIN SOLVE Loop x[1] 0.430000000000001 y[1] (analytic) -6.479689190188645 y[1] (numeric) -6.479689189401411 absolute error 7.872342777659469e-10 relative error 1.2149259858913509e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13790471867134665 Order of pole (three term test) -26.558929773017727 Radius of convergence (six term test) for eq 1 9.73319877901093 Order of pole (six term test) -1.3480230157654916 TOP MAIN SOLVE Loop x[1] 0.440000000000001 y[1] (analytic) -6.466440955449886 y[1] (numeric) -6.4664409546537565 absolute error 7.961293846392437e-10 relative error 1.2311708869285655e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12748610678188335 Order of pole (three term test) -26.67086064638524 Radius of convergence (six term test) for eq 1 9.73074472708612 Order of pole (six term test) -1.3478827209457194 TOP MAIN SOLVE Loop x[1] 0.450000000000001 y[1] (analytic) -6.453203032379985 y[1] (numeric) -6.453203031574916 absolute error 8.050689004335254e-10 relative error 1.2475493121694182e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11681882646290309 Order of pole (three term test) -26.741727472365277 Radius of convergence (six term test) for eq 1 9.72827818993344 Order of pole (six term test) -1.3477453824889807 TOP MAIN SOLVE Loop x[1] 0.460000000000001 y[1] (analytic) -6.439975423660794 y[1] (numeric) -6.439975422846744 absolute error 8.140501606135331e-10 relative error 1.2640578683307886e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10593630320268838 Order of pole (three term test) -26.771126354471107 Radius of convergence (six term test) for eq 1 9.72579898628515 Order of pole (six term test) -1.3476113732441597 TOP MAIN SOLVE Loop x[1] 0.47000000000000103 y[1] (analytic) -6.4267581319872455 y[1] (numeric) -6.426758131164172 absolute error 8.230731651792667e-10 relative error 1.2806972789012687e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09487290596299769 Order of pole (three term test) -26.7587952507301 Radius of convergence (six term test) for eq 1 9.723306938195899 Order of pole (six term test) -1.347481059664693 TOP MAIN SOLVE Loop x[1] 0.48000000000000104 y[1] (analytic) -6.413551160067376 y[1] (numeric) -6.413551159235232 absolute error 8.32144131379664e-10 relative error 1.2974779659681114e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08366382587972648 Order of pole (three term test) -26.70461625702682 Radius of convergence (six term test) for eq 1 9.720801871483983 Order of pole (six term test) -1.3473548008595948 TOP MAIN SOLVE Loop x[1] 0.49000000000000105 y[1] (analytic) -6.40035451062235 y[1] (numeric) -6.400354509781094 absolute error 8.412559537873676e-10 relative error 1.3143896207486273e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07234495009040554 Order of pole (three term test) -26.60861724914723 Radius of convergence (six term test) for eq 1 9.718283616165285 Order of pole (six term test) -1.3472329476573446 TOP MAIN SOLVE Loop x[1] 0.500000000000001 y[1] (analytic) -6.387168186386496 y[1] (numeric) -6.387168185536084 absolute error 8.504121851160562e-10 relative error 1.3314385347306346e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06095273138311142 Order of pole (three term test) -26.470972867844065 Radius of convergence (six term test) for eq 1 9.715752006880582 Order of pole (six term test) -1.3471158416814237 TOP MAIN SOLVE Loop x[1] 0.510000000000001 y[1] (analytic) -6.373992190107333 y[1] (numeric) -6.373992189247723 absolute error 8.596101608304707e-10 relative error 1.3486212960295384e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04952405439954005 Order of pole (three term test) -26.29200483631689 Radius of convergence (six term test) for eq 1 9.713206883312443 Order of pole (six term test) -1.3470038144453955 TOP MAIN SOLVE Loop x[1] 0.520000000000001 y[1] (analytic) -6.360826524545601 y[1] (numeric) -6.360826523676746 absolute error 8.688552100011293e-10 relative error 1.3659470300727904e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.038096099155582 Order of pole (three term test) -26.07218160471543 Radius of convergence (six term test) for eq 1 9.710648090595567 Order of pole (six term test) -1.3468971864594312 TOP MAIN SOLVE Loop x[1] 0.530000000000001 y[1] (analytic) -6.347671192475289 y[1] (numeric) -6.347671191597143 absolute error 8.781464444496123e-10 relative error 1.3834151420612211e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026706202665320027 Order of pole (three term test) -25.81211732156288 Radius of convergence (six term test) for eq 1 9.708075479714061 Order of pole (six term test) -1.3467962663620554 TOP MAIN SOLVE Loop x[1] 0.540000000000001 y[1] (analytic) -6.334526196683662 y[1] (numeric) -6.3345261957961805 absolute error 8.874811996406606e-10 relative error 1.4010222265799247e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01539171946860395 Order of pole (three term test) -25.512570137284523 Radius of convergence (six term test) for eq 1 9.705488907888574 Order of pole (six term test) -1.346701350071104 TOP MAIN SOLVE Loop x[1] 0.550000000000001 y[1] (analytic) -6.3213915399712945 y[1] (numeric) -6.321391539074434 absolute error 8.96860363752694e-10 relative error 1.4187704686249614e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004189881868035437 Order of pole (three term test) -25.17443985024406 Radius of convergence (six term test) for eq 1 9.702888238953284 Order of pole (six term test) -1.3466127199536277 TOP MAIN SOLVE Loop x[1] 0.560000000000001 y[1] (analytic) -6.308267225152101 y[1] (numeric) -6.30826722424582 absolute error 9.062812722504532e-10 relative error 1.4366564381371804e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.700273343713333 Order of pole (six term test) -1.3465306440354805 TOP MAIN SOLVE Loop x[1] 0.5700000000000011 y[1] (analytic) -6.2951532550533695 y[1] (numeric) -6.295153254137621 absolute error 9.157483660260368e-10 relative error 1.4546879621888939e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.697644100298804 Order of pole (six term test) -1.346455375215287 TOP MAIN SOLVE Loop x[1] 0.5800000000000011 y[1] (analytic) -6.282049632515781 y[1] (numeric) -6.282049631590518 absolute error 9.252625332578646e-10 relative error 1.4728672764199786e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.695000394496144 Order of pole (six term test) -1.346387150524608 TOP MAIN SOLVE Loop x[1] 0.5900000000000011 y[1] (analytic) -6.268956360393442 y[1] (numeric) -6.268956359458626 absolute error 9.348166685185788e-10 relative error 1.491183882575168e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.692342120067279 Order of pole (six term test) -1.3463261904119133 TOP MAIN SOLVE Loop x[1] 0.6000000000000011 y[1] (analytic) -6.255873441553934 y[1] (numeric) -6.255873440609516 absolute error 9.444178772355372e-10 relative error 1.5096499090955836e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.689669179051549 Order of pole (six term test) -1.346272698061071 TOP MAIN SOLVE Loop x[1] 0.6100000000000011 y[1] (analytic) -6.242800878878322 y[1] (numeric) -6.242800877924256 absolute error 9.540661594087396e-10 relative error 1.5282662028140195e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.686981482052815 Order of pole (six term test) -1.3462268587391577 TOP MAIN SOLVE Loop x[1] 0.6200000000000011 y[1] (analytic) -6.2297386752611885 y[1] (numeric) -6.22973867429743 absolute error 9.63758850502927e-10 relative error 1.5470293390156057e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.68427894850781 Order of pole (six term test) -1.3461888391823909 TOP MAIN SOLVE Loop x[1] 0.6300000000000011 y[1] (analytic) -6.216686833610681 y[1] (numeric) -6.216686832637183 absolute error 9.73497726874939e-10 relative error 1.5659430061873116e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.681561506935916 Order of pole (six term test) -1.346158787019558 TOP MAIN SOLVE Loop x[1] 0.6400000000000011 y[1] (analytic) -6.203645356848524 y[1] (numeric) -6.203645355865243 absolute error 9.832810121679358e-10 relative error 1.585005195505641e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.678829095171062 Order of pole (six term test) -1.3461368302317354 TOP MAIN SOLVE Loop x[1] 0.6500000000000011 y[1] (analytic) -6.190614247910064 y[1] (numeric) -6.190614246916955 absolute error 9.931087063819177e-10 relative error 1.6042167491169213e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.676081660573544 Order of pole (six term test) -1.3461230766530932 TOP MAIN SOLVE Loop x[1] 0.6600000000000011 y[1] (analytic) -6.177593509744298 y[1] (numeric) -6.177593508741314 absolute error 1.0029843622305634e-09 relative error 1.6235842656990858e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.673319160221688 Order of pole (six term test) -1.3461176135128952 TOP MAIN SOLVE Loop x[1] 0.6700000000000012 y[1] (analytic) -6.1645831453139 y[1] (numeric) -6.1645831443009955 absolute error 1.0129044270001941e-09 relative error 1.6431028718789663e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.670541561082652 Order of pole (six term test) -1.3461205070204887 TOP MAIN SOLVE Loop x[1] 0.6800000000000012 y[1] (analytic) -6.151583157595259 y[1] (numeric) -6.15158315657239 absolute error 1.0228689006908098e-09 relative error 1.6627734267525757e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.66774884016169 Order of pole (six term test) -1.34613180199473 TOP MAIN SOLVE Loop x[1] 0.6900000000000012 y[1] (analytic) -6.1385935495785136 y[1] (numeric) -6.138593548545632 absolute error 1.0328813360160893e-09 relative error 1.6826025826176563e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.664940984629572 Order of pole (six term test) -1.3461515215385873 TOP MAIN SOLVE Loop x[1] 0.7000000000000012 y[1] (analytic) -6.125614324267577 y[1] (numeric) -6.12561432322464 absolute error 1.0429372920839342e-09 relative error 1.702583997089362e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.662117991926856 Order of pole (six term test) -1.3461796667620014 TOP MAIN SOLVE Loop x[1] 0.7100000000000012 y[1] (analytic) -6.112645484680179 y[1] (numeric) -6.112645483627138 absolute error 1.0530412097864428e-09 relative error 1.7227258024788577e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.659279869845108 Order of pole (six term test) -1.3462162165527047 TOP MAIN SOLVE Loop x[1] 0.7200000000000012 y[1] (analytic) -6.099687033847889 y[1] (numeric) -6.0996870327847 absolute error 1.0631895364099364e-09 relative error 1.74302309366066e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.656426636584218 Order of pole (six term test) -1.3462611273970921 TOP MAIN SOLVE Loop x[1] 0.7300000000000012 y[1] (analytic) -6.086738974816161 y[1] (numeric) -6.086738973742774 absolute error 1.0733867128465135e-09 relative error 1.763484054906319e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.653558320785457 Order of pole (six term test) -1.346314333251991 TOP MAIN SOLVE Loop x[1] 0.7400000000000012 y[1] (analytic) -6.073801310644354 y[1] (numeric) -6.073801309560724 absolute error 1.083630074560915e-09 relative error 1.7841052400937948e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.650674961539028 Order of pole (six term test) -1.3463757454701781 TOP MAIN SOLVE Loop x[1] 0.7500000000000012 y[1] (analytic) -6.060874044405777 y[1] (numeric) -6.060874043311858 absolute error 1.0939187333747213e-09 relative error 1.804886102829368e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.647776608366689 Order of pole (six term test) -1.3464452527785227 TOP MAIN SOLVE Loop x[1] 0.7600000000000012 y[1] (analytic) -6.047957179187718 y[1] (numeric) -6.047957178083462 absolute error 1.104256242001611e-09 relative error 1.825833433149274e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.644863321178335 Order of pole (six term test) -1.346522721311251 TOP MAIN SOLVE Loop x[1] 0.7700000000000012 y[1] (analytic) -6.035050718091478 y[1] (numeric) -6.035050716976838 absolute error 1.1146399359063253e-09 relative error 1.8469437755757893e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.641935170201963 Order of pole (six term test) -1.3466079946998768 TOP MAIN SOLVE Loop x[1] 0.7800000000000012 y[1] (analytic) -6.0221546642324055 y[1] (numeric) -6.022154663107335 absolute error 1.1250707032672835e-09 relative error 1.868219542665444e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.638992235886828 Order of pole (six term test) -1.3467008942201684 TOP MAIN SOLVE Loop x[1] 0.7900000000000013 y[1] (analytic) -6.009269020739932 y[1] (numeric) -6.009269019604384 absolute error 1.135548544084486e-09 relative error 1.889661687911359e-08% Correct digits 10 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 9.636034608779797 Order of pole (six term test) -1.3468012189964327 Finished! diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; Iterations 1600 Total Elapsed Time 4.0 Seconds Elapsed Time(since restart) 4.0 Seconds Time to Timeout 2 Minutes 56.0 Seconds Percent Done 100.06250000000009%