##############ECHO OF PROBLEM################# ##############temp/exp_sqrtpostode.ode################# diff ( y , x , 1 ) = exp ( sqrt ( 0.1 * x + 0.2 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=2.0 x_end=3.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.01 $glob_max_minutes=10 $glob_max_h=0.00001 #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=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(20.0 * exp(sqrt(0.1 * x + 0.2)) * sqrt( 0.1 * x + 0.2) - 20.0 * exp(sqrt(0.1 * x + 0.2))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 1.0 estimated_steps 1000000.0 step_error 1.0e-16 est_needed_step_err 1.0e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.901394628596011e-176 estimated_step_error 6.901394628596011e-176 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 4.631447010427056e-168 estimated_step_error 4.631447010427056e-168 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 3.108110770842568e-160 estimated_step_error 3.108110770842568e-160 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 2.085816884453821e-152 estimated_step_error 2.085816884453821e-152 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 1.3997667469546243e-144 estimated_step_error 1.3997667469546243e-144 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop x[1] 2.0 y[1] (analytic) -13.836040790419254 y[1] (numeric) -13.836040790419254 absolute error 0.0 relative error 0.0% Correct digits 16 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9961505302306795 Order of pole (three term test) 1.5391708581845167 Radius of convergence (six term test) for eq 1 27.584054418628043 Order of pole (six term test) 2.7382045061552507 TOP MAIN SOLVE Loop x[1] 2.0100000000000655 y[1] (analytic) -13.817211083627669 y[1] (numeric) -13.817211091066271 absolute error 7.438602622755752e-09 relative error 5.383577465621788e-08% Correct digits 10 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.0061373029900516 Order of pole (three term test) 1.5392072372638184 Radius of convergence (six term test) for eq 1 27.652939817234156 Order of pole (six term test) 2.7413845381522943 TOP MAIN SOLVE Loop x[1] 2.020000000000131 y[1] (analytic) -13.798366503343011 y[1] (numeric) -13.798366518216797 absolute error 1.4873785758595659e-08 relative error 1.0779381570269277e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.016124065557915 Order of pole (three term test) 1.539243537945111 Radius of convergence (six term test) for eq 1 27.721891154218092 Order of pole (six term test) 2.7445747729993517 TOP MAIN SOLVE Loop x[1] 2.0300000000001965 y[1] (analytic) -13.779507056349612 y[1] (numeric) -13.779507078655206 absolute error 2.2305593816440705e-08 relative error 1.6187512169502656e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.026110817964215 Order of pole (three term test) 1.539279760513331 Radius of convergence (six term test) for eq 1 27.790904475847857 Order of pole (six term test) 2.7477741209993365 TOP MAIN SOLVE Loop x[1] 2.040000000000262 y[1] (analytic) -13.760632749397313 y[1] (numeric) -13.760632779131337 absolute error 2.9734023243577212e-08 relative error 2.1608034881157263e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.036097560238741 Order of pole (three term test) 1.5393159052524374 Radius of convergence (six term test) for eq 1 27.85997501307907 Order of pole (six term test) 2.750981286345283 TOP MAIN SOLVE Loop x[1] 2.0500000000003276 y[1] (analytic) -13.741743589201697 y[1] (numeric) -13.741743626360838 absolute error 3.715914154156508e-08 relative error 2.704106746014737e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.046084292411376 Order of pole (three term test) 1.539351972443367 Radius of convergence (six term test) for eq 1 27.92910797566705 Order of pole (six term test) 2.7541975819145676 TOP MAIN SOLVE Loop x[1] 2.060000000000393 y[1] (analytic) -13.722839582444248 y[1] (numeric) -13.722839627025145 absolute error 4.458089719605596e-08 relative error 3.2486641651840554e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.056071014511508 Order of pole (three term test) 1.5393879623673579 Radius of convergence (six term test) for eq 1 27.998308183133652 Order of pole (six term test) 2.757424212397254 TOP MAIN SOLVE Loop x[1] 2.0700000000004586 y[1] (analytic) -13.703920735772634 y[1] (numeric) -13.703920787771972 absolute error 5.199933816868452e-08 relative error 3.7944862037143686e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.066057726568716 Order of pole (three term test) 1.539423875302421 Radius of convergence (six term test) for eq 1 28.06757208491366 Order of pole (six term test) 2.760660198092731 TOP MAIN SOLVE Loop x[1] 2.080000000000524 y[1] (analytic) -13.684987055800871 y[1] (numeric) -13.684987115215332 absolute error 5.9414460906737077e-08 relative error 4.341579620387886e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.076044428612309 Order of pole (three term test) 1.5394597115255848 Radius of convergence (six term test) for eq 1 28.13689638174873 Order of pole (six term test) 2.76390463295934 TOP MAIN SOLVE Loop x[1] 2.0900000000005896 y[1] (analytic) -13.666038549109551 y[1] (numeric) -13.666038615935843 absolute error 6.682629205556623e-08 relative error 4.889953428378152e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.086031120671574 Order of pole (three term test) 1.539495471312373 Radius of convergence (six term test) for eq 1 28.20628657900705 Order of pole (six term test) 2.767158896534502 TOP MAIN SOLVE Loop x[1] 2.100000000000655 y[1] (analytic) -13.647075222246052 y[1] (numeric) -13.647075296480963 absolute error 7.423491155122974e-08 relative error 5.439620603117924e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.096017802775762 Order of pole (three term test) 1.5395311549355295 Radius of convergence (six term test) for eq 1 28.27573924794501 Order of pole (six term test) 2.7704220494885856 TOP MAIN SOLVE Loop x[1] 2.1100000000007206 y[1] (analytic) -13.628097081724746 y[1] (numeric) -13.628097163365027 absolute error 8.164028031387716e-08 relative error 5.990585466503363e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.106004474953997 Order of pole (three term test) 1.5395667626666336 Radius of convergence (six term test) for eq 1 28.34526291030325 Order of pole (six term test) 2.773696243835925 TOP MAIN SOLVE Loop x[1] 2.120000000000786 y[1] (analytic) -13.609104134027184 y[1] (numeric) -13.609104223069586 absolute error 8.904240189622215e-08 relative error 6.542855504616736e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.115991137235242 Order of pole (three term test) 1.539602294775762 Radius of convergence (six term test) for eq 1 28.41483774895692 Order of pole (six term test) 2.7769763131182383 TOP MAIN SOLVE Loop x[1] 2.1300000000008517 y[1] (analytic) -13.59009638560233 y[1] (numeric) -13.590096482043611 absolute error 9.644128162733523e-08 relative error 7.096438383579635e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.125977789648465 Order of pole (three term test) 1.539637751531424 Radius of convergence (six term test) for eq 1 28.48448791095785 Order of pole (six term test) 2.780268439616325 TOP MAIN SOLVE Loop x[1] 2.140000000000917 y[1] (analytic) -13.571073842866731 y[1] (numeric) -13.57107394670372 absolute error 1.0383698878513314e-07 relative error 7.651346532147289e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.1359644322221865 Order of pole (three term test) 1.539673133201333 Radius of convergence (six term test) for eq 1 28.554203816455168 Order of pole (six term test) 2.78357009905271 TOP MAIN SOLVE Loop x[1] 2.1500000000009827 y[1] (analytic) -13.552036512204754 y[1] (numeric) -13.55203662343422 absolute error 1.1122946652619703e-07 relative error 8.207583150032505e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.145951064985177 Order of pole (three term test) 1.5397084400505792 Radius of convergence (six term test) for eq 1 28.623984324674144 Order of pole (six term test) 2.786880949071211 TOP MAIN SOLVE Loop x[1] 2.160000000001048 y[1] (analytic) -13.532984399968736 y[1] (numeric) -13.532984518587535 absolute error 1.1861879833929834e-07 relative error 8.765161832269043e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.15593768796616 Order of pole (three term test) 1.5397436723421174 Radius of convergence (six term test) for eq 1 28.693827601345287 Order of pole (six term test) 2.7902004717008726 TOP MAIN SOLVE Loop x[1] 2.1700000000011137 y[1] (analytic) -13.513917512479232 y[1] (numeric) -13.513917638484198 absolute error 1.2600496646086867e-07 relative error 9.324088765860174e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.16592430119358 Order of pole (three term test) 1.5397788303382016 Radius of convergence (six term test) for eq 1 28.763743283736442 Order of pole (six term test) 2.7935310867299687 TOP MAIN SOLVE Loop x[1] 2.180000000001179 y[1] (analytic) -13.494835856025162 y[1] (numeric) -13.494835989413183 absolute error 1.3338802062889954e-07 relative error 9.884375182625477e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.175910904695861 Order of pole (three term test) 1.5398139142992815 Radius of convergence (six term test) for eq 1 28.833729952140438 Order of pole (six term test) 2.7968723758981326 TOP MAIN SOLVE Loop x[1] 2.1900000000012447 y[1] (analytic) -13.475739436864039 y[1] (numeric) -13.475739577631973 absolute error 1.4076793419803835e-07 relative error 1.0446026717684643e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.185897498501234 Order of pole (three term test) 1.539848924484463 Radius of convergence (six term test) for eq 1 28.903778505716744 Order of pole (six term test) 2.800221962907086 TOP MAIN SOLVE Loop x[1] 2.2000000000013102 y[1] (analytic) -13.45662826122215 y[1] (numeric) -13.45662840936689 absolute error 1.4814474091906504e-07 relative error 1.1009053534307139e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.195884082637921 Order of pole (three term test) 1.5398838611514265 Radius of convergence (six term test) for eq 1 28.9738898030327 Order of pole (six term test) 2.803580023816087 TOP MAIN SOLVE Loop x[1] 2.2100000000013758 y[1] (analytic) -13.437502335294727 y[1] (numeric) -13.437502490813198 absolute error 1.555184709900459e-07 relative error 1.1573465597216201e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.205870657134077 Order of pole (three term test) 1.5399187245556116 Radius of convergence (six term test) for eq 1 29.044076372679346 Order of pole (six term test) 2.806949701960921 TOP MAIN SOLVE Loop x[1] 2.2200000000014413 y[1] (analytic) -13.41836166524617 y[1] (numeric) -13.418361828135318 absolute error 1.6288914750361982e-07 relative error 1.2139272406519346e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.215857222017624 Order of pole (three term test) 1.5399535149517765 Radius of convergence (six term test) for eq 1 29.11432730321733 Order of pole (six term test) 2.8103281677608205 TOP MAIN SOLVE Loop x[1] 2.2300000000015068 y[1] (analytic) -13.399206257210206 y[1] (numeric) -13.399206427466932 absolute error 1.7025672605086584e-07 relative error 1.2706478487055866e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.225843777316482 Order of pole (three term test) 1.5399882325928052 Radius of convergence (six term test) for eq 1 29.184649775473677 Order of pole (six term test) 2.8137171986562386 TOP MAIN SOLVE Loop x[1] 2.2400000000015723 y[1] (analytic) -13.380036117290079 y[1] (numeric) -13.38003629491136 absolute error 1.776212812387712e-07 relative error 1.327509729284241e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.2358303230587 Order of pole (three term test) 1.5400228777294493 Radius of convergence (six term test) for eq 1 29.255037345840066 Order of pole (six term test) 2.8171151102936847 TOP MAIN SOLVE Loop x[1] 2.250000000001638 y[1] (analytic) -13.360851251558742 y[1] (numeric) -13.36085143654151 absolute error 1.849827686584149e-07 relative error 1.384513345561226e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.245816859271821 Order of pole (three term test) 1.5400574506122664 Radius of convergence (six term test) for eq 1 29.325497390818594 Order of pole (six term test) 2.8205237232520464 TOP MAIN SOLVE Loop x[1] 2.2600000000017033 y[1] (analytic) -13.34165166605904 y[1] (numeric) -13.341651858400317 absolute error 1.9234127712763893e-07 relative error 1.4416601627889314e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.255803385983331 Order of pole (three term test) 1.5400919514902223 Radius of convergence (six term test) for eq 1 29.396026679741365 Order of pole (six term test) 2.823942170000487 TOP MAIN SOLVE Loop x[1] 2.270000000001769 y[1] (analytic) -13.322437366803868 y[1] (numeric) -13.322437566500644 absolute error 1.9969677644837702e-07 relative error 1.4989507621628659e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.265789903220873 Order of pole (three term test) 1.5401263806101366 Radius of convergence (six term test) for eq 1 29.466630617761993 Order of pole (six term test) 2.8273717654880706 TOP MAIN SOLVE Loop x[1] 2.2800000000018343 y[1] (analytic) -13.30320835977638 y[1] (numeric) -13.303208566825681 absolute error 2.0704930037140912e-07 relative error 1.5563862097916468e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.275776411012111 Order of pole (three term test) 1.5401607382166194 Radius of convergence (six term test) for eq 1 29.53730031180212 Order of pole (six term test) 2.8308102159021686 TOP MAIN SOLVE Loop x[1] 2.2900000000019 y[1] (analytic) -13.283964650930155 y[1] (numeric) -13.28396486532901 absolute error 2.1439885422580574e-07 relative error 1.6139673648619152e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.285762909384336 Order of pole (three term test) 1.5401950245542007 Radius of convergence (six term test) for eq 1 29.60804003059343 Order of pole (six term test) 2.834258552214516 TOP MAIN SOLVE Loop x[1] 2.3000000000019654 y[1] (analytic) -13.264706246189352 y[1] (numeric) -13.264706467934802 absolute error 2.2174545044606475e-07 relative error 1.6716951459800867e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.295749398364736 Order of pole (three term test) 1.540229239865871 Radius of convergence (six term test) for eq 1 29.678858528234343 Order of pole (six term test) 2.837718923444653 TOP MAIN SOLVE Loop x[1] 2.310000000002031 y[1] (analytic) -13.245433151448925 y[1] (numeric) -13.245433380538023 absolute error 2.2908909791397036e-07 relative error 1.7295704511476107e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.3057358779806245 Order of pole (three term test) 1.540263384392332 Radius of convergence (six term test) for eq 1 29.74974143431654 Order of pole (six term test) 2.8411876714505198 TOP MAIN SOLVE Loop x[1] 2.3200000000020964 y[1] (analytic) -13.226145372574756 y[1] (numeric) -13.226145609004575 absolute error 2.3642981972216148e-07 relative error 1.7875942919273636e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.3157223482588725 Order of pole (three term test) 1.5402974583749116 Radius of convergence (six term test) for eq 1 29.820697071174408 Order of pole (six term test) 2.8446668378807143 TOP MAIN SOLVE Loop x[1] 2.330000000002162 y[1] (analytic) -13.206842915403861 y[1] (numeric) -13.206843159171534 absolute error 2.4376767271405697e-07 relative error 1.845767942236501e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.325708809226744 Order of pole (three term test) 1.540331462050764 Radius of convergence (six term test) for eq 1 29.891725049758257 Order of pole (six term test) 2.8481562769402835 TOP MAIN SOLVE Loop x[1] 2.3400000000022274 y[1] (analytic) -13.187525785744537 y[1] (numeric) -13.187526036847121 absolute error 2.511025840590264e-07 relative error 1.9040917010411726e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.335695260910827 Order of pole (three term test) 1.5403653956586465 Radius of convergence (six term test) for eq 1 29.96282622508164 Order of pole (six term test) 2.851656153400466 TOP MAIN SOLVE Loop x[1] 2.350000000002293 y[1] (analytic) -13.168193989376526 y[1] (numeric) -13.168194247811154 absolute error 2.5843462836405706e-07 relative error 1.962566989615659e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.345681703338235 Order of pole (three term test) 1.540399259433029 Radius of convergence (six term test) for eq 1 30.03400329202102 Order of pole (six term test) 2.8551670907998243 TOP MAIN SOLVE Loop x[1] 2.3600000000023584 y[1] (analytic) -13.148847532051214 y[1] (numeric) -13.148847797815035 absolute error 2.657638216163605e-07 relative error 2.0211947926884315e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.355668136535663 Order of pole (three term test) 1.5404330536084738 Radius of convergence (six term test) for eq 1 30.105257666233726 Order of pole (six term test) 2.8586893896964813 TOP MAIN SOLVE Loop x[1] 2.370000000002424 y[1] (analytic) -13.129486419491766 y[1] (numeric) -13.129486692581942 absolute error 2.730901762504345e-07 relative error 2.0799760746544547e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.365654560529844 Order of pole (three term test) 1.540466778418002 Radius of convergence (six term test) for eq 1 30.176578912602903 Order of pole (six term test) 2.8622204041536037 TOP MAIN SOLVE Loop x[1] 2.3800000000024895 y[1] (analytic) -13.110110657393307 y[1] (numeric) -13.110110937806956 absolute error 2.8041364963371507e-07 relative error 2.1389113864998447e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.37564097534706 Order of pole (three term test) 1.5405004340948445 Radius of convergence (six term test) for eq 1 30.247977842893185 Order of pole (six term test) 2.8657627774261325 TOP MAIN SOLVE Loop x[1] 2.390000000002555 y[1] (analytic) -13.090720251423082 y[1] (numeric) -13.090720539157363 absolute error 2.8773428084605257e-07 relative error 2.1980019076091185e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.385627381014112 Order of pole (three term test) 1.5405340208678502 Radius of convergence (six term test) for eq 1 30.319447742910945 Order of pole (six term test) 2.869314793005179 TOP MAIN SOLVE Loop x[1] 2.4000000000026205 y[1] (analytic) -13.0713152072206 y[1] (numeric) -13.071315502272734 absolute error 2.9505213383629325e-07 relative error 2.257249015564297e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.395613777557111 Order of pole (three term test) 1.5405675389674758 Radius of convergence (six term test) for eq 1 30.39100004600213 Order of pole (six term test) 2.8728792375648986 TOP MAIN SOLVE Loop x[1] 2.410000000002686 y[1] (analytic) -13.051895530397836 y[1] (numeric) -13.05189583276499 absolute error 3.023671535373751e-07 relative error 2.316653185226335e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.405600165002758 Order of pole (three term test) 1.5406009886202094 Radius of convergence (six term test) for eq 1 30.46262606468905 Order of pole (six term test) 2.8764539076560567 TOP MAIN SOLVE Loop x[1] 2.4200000000027515 y[1] (analytic) -13.03246122653935 y[1] (numeric) -13.032461536218777 absolute error 3.096794269907832e-07 relative error 2.376215985666245e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.415586543376953 Order of pole (three term test) 1.5406343700536027 Radius of convergence (six term test) for eq 1 30.534327426287952 Order of pole (six term test) 2.8800391588748333 TOP MAIN SOLVE Loop x[1] 2.430000000002817 y[1] (analytic) -13.013012301202469 y[1] (numeric) -13.01301261819138 absolute error 3.169889115639535e-07 relative error 2.435937999802414e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4255729127059675 Order of pole (three term test) 1.54066768349314 Radius of convergence (six term test) for eq 1 30.60610122020949 Order of pole (six term test) 2.883634225614216 TOP MAIN SOLVE Loop x[1] 2.4400000000028825 y[1] (analytic) -12.993548759917427 y[1] (numeric) -12.993549084213058 absolute error 3.242956303495248e-07 relative error 2.495820320849634e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4355592730158975 Order of pole (three term test) 1.5407009291622362 Radius of convergence (six term test) for eq 1 30.67795447781706 Order of pole (six term test) 2.8872407957021426 TOP MAIN SOLVE Loop x[1] 2.450000000002948 y[1] (analytic) -12.974070608187539 y[1] (numeric) -12.974070939787138 absolute error 3.3159959933470873e-07 relative error 2.555863994800879e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.445545624332518 Order of pole (three term test) 1.5407341072847947 Radius of convergence (six term test) for eq 1 30.749884976356753 Order of pole (six term test) 2.8908582717261204 TOP MAIN SOLVE Loop x[1] 2.4600000000030136 y[1] (analytic) -12.954577851489343 y[1] (numeric) -12.954578190390194 absolute error 3.389008504939284e-07 relative error 2.6160701983427895e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4555319666821545 Order of pole (three term test) 1.540767218080418 Radius of convergence (six term test) for eq 1 30.82188775055618 Order of pole (six term test) 2.8944853863588538 TOP MAIN SOLVE Loop x[1] 2.470000000003079 y[1] (analytic) -12.935070495272754 y[1] (numeric) -12.93507084147217 absolute error 3.4619941580160685e-07 relative error 2.6764401162570298e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.465518300090157 Order of pole (three term test) 1.540800261771617 Radius of convergence (six term test) for eq 1 30.893980495037656 Order of pole (six term test) 2.898126435831994 TOP MAIN SOLVE Loop x[1] 2.4800000000031446 y[1] (analytic) -12.915548544961222 y[1] (numeric) -12.915548898456485 absolute error 3.5349526328332104e-07 relative error 2.7369744463639612e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4755046245825305 Order of pole (three term test) 1.540833238576263 Radius of convergence (six term test) for eq 1 30.966143395149928 Order of pole (six term test) 2.9017765083885507 TOP MAIN SOLVE Loop x[1] 2.49000000000321 y[1] (analytic) -12.896012005951881 y[1] (numeric) -12.896012366740305 absolute error 3.607884231371372e-07 relative error 2.7976743738345075e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.485490940184687 Order of pole (three term test) 1.5408661487133 Radius of convergence (six term test) for eq 1 31.03838239181548 Order of pole (six term test) 2.905437016704239 TOP MAIN SOLVE Loop x[1] 2.5000000000032756 y[1] (analytic) -12.876460883615692 y[1] (numeric) -12.876461251694545 absolute error 3.6807885273049123e-07 relative error 2.8585405264488733e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.495477246922586 Order of pole (three term test) 1.5408989923977012 Radius of convergence (six term test) for eq 1 31.110701806945055 Order of pole (six term test) 2.909108971179803 TOP MAIN SOLVE Loop x[1] 2.510000000003341 y[1] (analytic) -12.856895183297596 y[1] (numeric) -12.856895558664254 absolute error 3.7536665864479346e-07 relative error 2.9195746974155366e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.505463544821447 Order of pole (three term test) 1.5409317698461718 Radius of convergence (six term test) for eq 1 31.183103964642854 Order of pole (six term test) 2.912792890065262 TOP MAIN SOLVE Loop x[1] 2.5200000000034066 y[1] (analytic) -12.837314910316664 y[1] (numeric) -12.837315292968475 absolute error 3.826518106819776e-07 relative error 2.9807776264369803e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.515449833906643 Order of pole (three term test) 1.5409644812732382 Radius of convergence (six term test) for eq 1 31.25558751982914 Order of pole (six term test) 2.9164883949266844 TOP MAIN SOLVE Loop x[1] 2.530000000003472 y[1] (analytic) -12.817720069966246 y[1] (numeric) -12.81772045990053 absolute error 3.8993428397304797e-07 relative error 3.0421501003655075e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.525436114203672 Order of pole (three term test) 1.5409971268912164 Radius of convergence (six term test) for eq 1 31.328150649398587 Order of pole (six term test) 2.9201949926395514 TOP MAIN SOLVE Loop x[1] 2.5400000000035377 y[1] (analytic) -12.798110667514102 y[1] (numeric) -12.798111064728262 absolute error 3.972141602304191e-07 relative error 3.103693744723445e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.53542238573778 Order of pole (three term test) 1.5410297069121388 Radius of convergence (six term test) for eq 1 31.400789709462494 Order of pole (six term test) 2.923911751341258 TOP MAIN SOLVE Loop x[1] 2.550000000003603 y[1] (analytic) -12.778486708202564 y[1] (numeric) -12.778487112693984 absolute error 4.044914199141658e-07 relative error 3.16540940371696e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.5454086485340195 Order of pole (three term test) 1.5410622215475993 Radius of convergence (six term test) for eq 1 31.47351171220235 Order of pole (six term test) 2.9276403293287707 TOP MAIN SOLVE Loop x[1] 2.5600000000036687 y[1] (analytic) -12.758848197248653 y[1] (numeric) -12.758848609014754 absolute error 4.117661003277817e-07 relative error 3.2272983733482766e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.555394902617568 Order of pole (three term test) 1.5410946710062552 Radius of convergence (six term test) for eq 1 31.546314579869303 Order of pole (six term test) 2.9313801742701724 TOP MAIN SOLVE Loop x[1] 2.570000000003734 y[1] (analytic) -12.73919513984426 y[1] (numeric) -12.739195558882432 absolute error 4.1903817304955737e-07 relative error 3.2893614427722805e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.565381148013522 Order of pole (three term test) 1.5411270554967174 Radius of convergence (six term test) for eq 1 31.61920188195525 Order of pole (six term test) 2.9351321026691544 TOP MAIN SOLVE Loop x[1] 2.5800000000037997 y[1] (analytic) -12.71952754115624 y[1] (numeric) -12.719527967463902 absolute error 4.2630766294848854e-07 relative error 3.3515998260870625e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.575367384746624 Order of pole (three term test) 1.5411593752274497 Radius of convergence (six term test) for eq 1 31.692175873689738 Order of pole (six term test) 2.9388966099028284 TOP MAIN SOLVE Loop x[1] 2.590000000003865 y[1] (analytic) -12.699845406326595 y[1] (numeric) -12.699845839901187 absolute error 4.335745913408573e-07 relative error 3.414014718044256e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.585353612841913 Order of pole (three term test) 1.54119163040348 Radius of convergence (six term test) for eq 1 31.76522511927242 Order of pole (six term test) 2.9426708839804565 TOP MAIN SOLVE Loop x[1] 2.6000000000039307 y[1] (analytic) -12.680148740472585 y[1] (numeric) -12.680149181311547 absolute error 4.408389617793773e-07 relative error 3.476607181840892e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.595339832324093 Order of pole (three term test) 1.5412238212305354 Radius of convergence (six term test) for eq 1 31.83836156937754 Order of pole (six term test) 2.9464577659613482 TOP MAIN SOLVE Loop x[1] 2.6100000000039962 y[1] (analytic) -12.660437548686861 y[1] (numeric) -12.660437996787673 absolute error 4.481008115675422e-07 relative error 3.5393785550011987e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.6053260432179774 Order of pole (three term test) 1.5412559479120491 Radius of convergence (six term test) for eq 1 31.911578143385782 Order of pole (six term test) 2.9502554995899484 TOP MAIN SOLVE Loop x[1] 2.6200000000040617 y[1] (analytic) -12.640711836037628 y[1] (numeric) -12.64071229139774 absolute error 4.553601122836426e-07 relative error 3.602329664579873e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.615312245548091 Order of pole (three term test) 1.5412880106515539 Radius of convergence (six term test) for eq 1 31.984881926534424 Order of pole (six term test) 2.9540657442594274 TOP MAIN SOLVE Loop x[1] 2.6300000000041273 y[1] (analytic) -12.620971607568762 y[1] (numeric) -12.620972070185662 absolute error 4.626168994548152e-07 relative error 3.6654618506342657e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.62529843933906 Order of pole (three term test) 1.5413200096505053 Radius of convergence (six term test) for eq 1 32.05826420585621 Order of pole (six term test) 2.9578863578844103 TOP MAIN SOLVE Loop x[1] 2.6400000000041928 y[1] (analytic) -12.601216868299943 y[1] (numeric) -12.601217338171123 absolute error 4.6987118018648744e-07 relative error 3.7287762372260382e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.635284624615236 Order of pole (three term test) 1.541351945110332 Radius of convergence (six term test) for eq 1 32.13173696292131 Order of pole (six term test) 2.961720172084604 TOP MAIN SOLVE Loop x[1] 2.6500000000042583 y[1] (analytic) -12.581447623226797 y[1] (numeric) -12.58144810034974 absolute error 4.771229420441614e-07 relative error 3.79227380133378e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.6452708014014155 Order of pole (three term test) 1.5413838172289316 Radius of convergence (six term test) for eq 1 32.205292457135506 Order of pole (six term test) 2.9655652801167545 TOP MAIN SOLVE Loop x[1] 2.660000000004324 y[1] (analytic) -12.561663877321013 y[1] (numeric) -12.561664361693284 absolute error 4.843722702929654e-07 relative error 3.8559563050198886e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.655256969721548 Order of pole (three term test) 1.5414156262067076 Radius of convergence (six term test) for eq 1 32.278937419195955 Order of pole (six term test) 2.969423247548715 TOP MAIN SOLVE Loop x[1] 2.6700000000043893 y[1] (analytic) -12.541865635530499 y[1] (numeric) -12.541866127149634 absolute error 4.916191347348331e-07 relative error 3.919824602028106e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.6652431295998875 Order of pole (three term test) 1.5414473722411275 Radius of convergence (six term test) for eq 1 32.35266825360889 Order of pole (six term test) 2.9732931645580205 TOP MAIN SOLVE Loop x[1] 2.680000000004455 y[1] (analytic) -12.522052902779492 y[1] (numeric) -12.522053401643008 absolute error 4.988635158298393e-07 relative error 3.983879637811686e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.675229281060977 Order of pole (three term test) 1.541479055527312 Radius of convergence (six term test) for eq 1 32.42647947536737 Order of pole (six term test) 2.977173674963753 TOP MAIN SOLVE Loop x[1] 2.6900000000045203 y[1] (analytic) -12.502225683968685 y[1] (numeric) -12.502226190074119 absolute error 5.061054331179093e-07 relative error 4.04812267760353e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.68521542412851 Order of pole (three term test) 1.5415106762623991 Radius of convergence (six term test) for eq 1 32.50038095265648 Order of pole (six term test) 2.9810670903200727 TOP MAIN SOLVE Loop x[1] 2.700000000004586 y[1] (analytic) -12.482383983975371 y[1] (numeric) -12.482384497320318 absolute error 5.133449469951756e-07 relative error 4.112555323199458e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.695201558826901 Order of pole (three term test) 1.5415422346393242 Radius of convergence (six term test) for eq 1 32.57437410617678 Order of pole (six term test) 2.984973697898406 TOP MAIN SOLVE Loop x[1] 2.7100000000046514 y[1] (analytic) -12.462527807653558 y[1] (numeric) -12.462528328235589 absolute error 5.205820308162856e-07 relative error 4.17717848939589e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.705187685179925 Order of pole (three term test) 1.5415737308521749 Radius of convergence (six term test) for eq 1 32.64845235808254 Order of pole (six term test) 2.988891883342154 TOP MAIN SOLVE Loop x[1] 2.720000000004717 y[1] (analytic) -12.44265715983411 y[1] (numeric) -12.442657687650806 absolute error 5.278166970157372e-07 relative error 4.241993412143281e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.715173803211696 Order of pole (three term test) 1.5416051650925928 Radius of convergence (six term test) for eq 1 32.722613476842746 Order of pole (six term test) 2.992821071434017 TOP MAIN SOLVE Loop x[1] 2.7300000000047824 y[1] (analytic) -12.422772045324844 y[1] (numeric) -12.422772580373808 absolute error 5.350489633570987e-07 relative error 4.307001379442181e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.725159912945704 Order of pole (three term test) 1.5416365375531087 Radius of convergence (six term test) for eq 1 32.79686721861605 Order of pole (six term test) 2.996763534386755 TOP MAIN SOLVE Loop x[1] 2.740000000004848 y[1] (analytic) -12.402872468910683 y[1] (numeric) -12.402873011189534 absolute error 5.422788511566523e-07 relative error 4.372203717452877e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.735146014406225 Order of pole (three term test) 1.5416678484220327 Radius of convergence (six term test) for eq 1 32.87121213107828 Order of pole (six term test) 3.000718877792652 TOP MAIN SOLVE Loop x[1] 2.7500000000049134 y[1] (analytic) -12.382958435353768 y[1] (numeric) -12.382958984860139 absolute error 5.49506371072539e-07 relative error 4.437601676055696e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.74513210761648 Order of pole (three term test) 1.5416990978908098 Radius of convergence (six term test) for eq 1 32.945645643929794 Order of pole (six term test) 3.004686444928071 TOP MAIN SOLVE Loop x[1] 2.760000000004979 y[1] (analytic) -12.363029949393574 y[1] (numeric) -12.363030506125078 absolute error 5.567315035648335e-07 relative error 4.503196270200268e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.755118192599858 Order of pole (three term test) 1.5417302861486264 Radius of convergence (six term test) for eq 1 33.020166618793176 Order of pole (six term test) 3.0086659199814516 TOP MAIN SOLVE Loop x[1] 2.7700000000050444 y[1] (analytic) -12.343087015747045 y[1] (numeric) -12.343087579701374 absolute error 5.639543285695936e-07 relative error 4.568989328602422e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.765104269380832 Order of pole (three term test) 1.5417614133791118 Radius of convergence (six term test) for eq 1 33.094781076695185 Order of pole (six term test) 3.012658680074395 TOP MAIN SOLVE Loop x[1] 2.78000000000511 y[1] (analytic) -12.323129639108704 y[1] (numeric) -12.3231302102835 absolute error 5.711747963488278e-07 relative error 4.634981640833726e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.775090337982151 Order of pole (three term test) 1.5417924797714975 Radius of convergence (six term test) for eq 1 33.1694823710046 Order of pole (six term test) 3.016663109056285 TOP MAIN SOLVE Loop x[1] 2.7900000000051755 y[1] (analytic) -12.30315782415078 y[1] (numeric) -12.303158402543703 absolute error 5.783929228897478e-07 relative error 4.7011745371125565e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.785076398427319 Order of pole (three term test) 1.541823485510862 Radius of convergence (six term test) for eq 1 33.244277670727485 Order of pole (six term test) 3.020680850616934 TOP MAIN SOLVE Loop x[1] 2.800000000005241 y[1] (analytic) -12.283171575523316 y[1] (numeric) -12.283172161132049 absolute error 5.856087330613491e-07 relative error 4.767569429936906e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.7950624507401285 Order of pole (three term test) 1.5418544307800242 Radius of convergence (six term test) for eq 1 33.319164594461576 Order of pole (six term test) 3.0247112963622733 TOP MAIN SOLVE Loop x[1] 2.8100000000053065 y[1] (analytic) -12.263170897854309 y[1] (numeric) -12.263171490676541 absolute error 5.928222321927024e-07 relative error 4.834167583006028e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.805048494943054 Order of pole (three term test) 1.541885315765663 Radius of convergence (six term test) for eq 1 33.394147978375294 Order of pole (six term test) 3.028755535532582 TOP MAIN SOLVE Loop x[1] 2.820000000005372 y[1] (analytic) -12.2431557957498 y[1] (numeric) -12.243156395783256 absolute error 6.000334558109444e-07 relative error 4.9009705162720004e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.815034531060025 Order of pole (three term test) 1.5419161406471422 Radius of convergence (six term test) for eq 1 33.46921958758224 Order of pole (six term test) 3.032811585543529 TOP MAIN SOLVE Loop x[1] 2.8300000000054375 y[1] (analytic) -12.223126273794005 y[1] (numeric) -12.223126881036388 absolute error 6.07242382599793e-07 relative error 4.967979295949036e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.825020559113904 Order of pole (three term test) 1.541946905607646 Radius of convergence (six term test) for eq 1 33.544382544317024 Order of pole (six term test) 3.036880134980425 TOP MAIN SOLVE Loop x[1] 2.840000000005503 y[1] (analytic) -12.203082336549432 y[1] (numeric) -12.203082950998468 absolute error 6.144490356518872e-07 relative error 5.035195360532412e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.835006579127766 Order of pole (three term test) 1.5419776108272683 Radius of convergence (six term test) for eq 1 33.61964194752169 Order of pole (six term test) 3.040962332593395 TOP MAIN SOLVE Loop x[1] 2.8500000000055685 y[1] (analytic) -12.183023988556986 y[1] (numeric) -12.183024610210373 absolute error 6.216533865455176e-07 relative error 5.102619736523634e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.844992591124835 Order of pole (three term test) 1.5420082564855897 Radius of convergence (six term test) for eq 1 33.694995600132586 Order of pole (six term test) 3.0450576149322135 TOP MAIN SOLVE Loop x[1] 2.860000000005634 y[1] (analytic) -12.162951234336099 y[1] (numeric) -12.162951863191589 absolute error 6.288554903477461e-07 relative error 5.170254145001277e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.8549785951275615 Order of pole (three term test) 1.5420388427626945 Radius of convergence (six term test) for eq 1 33.770439299242526 Order of pole (six term test) 3.049164954272328 TOP MAIN SOLVE Loop x[1] 2.8700000000056995 y[1] (analytic) -12.142864078384818 y[1] (numeric) -12.142864714440181 absolute error 6.360553630457844e-07 relative error 5.238099997989842e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.864964591159363 Order of pole (three term test) 1.5420693698347654 Radius of convergence (six term test) for eq 1 33.84598653804501 Order of pole (six term test) 3.0532874545063144 TOP MAIN SOLVE Loop x[1] 2.880000000005765 y[1] (analytic) -12.122762525179944 y[1] (numeric) -12.122763168432957 absolute error 6.432530135214165e-07 relative error 5.306158659672898e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.874950579242614 Order of pole (three term test) 1.5420998378802961 Radius of convergence (six term test) for eq 1 33.92161922149133 Order of pole (six term test) 3.057420846457397 TOP MAIN SOLVE Loop x[1] 2.8900000000058306 y[1] (analytic) -12.10264657917713 y[1] (numeric) -12.102647229625566 absolute error 6.50448436445572e-07 relative error 5.374431387302369e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.884936559400279 Order of pole (three term test) 1.5421302470746734 Radius of convergence (six term test) for eq 1 33.997353489409285 Order of pole (six term test) 3.061568847534673 TOP MAIN SOLVE Loop x[1] 2.900000000005896 y[1] (analytic) -12.082516244810986 y[1] (numeric) -12.08251690245266 absolute error 6.576416744508151e-07 relative error 5.442919844889503e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.894922531655047 Order of pole (three term test) 1.5421605975928665 Radius of convergence (six term test) for eq 1 34.07318656800451 Order of pole (six term test) 3.0657307617347964 TOP MAIN SOLVE Loop x[1] 2.9100000000059616 y[1] (analytic) -12.062371526495195 y[1] (numeric) -12.062372191327889 absolute error 6.648326937863658e-07 relative error 5.511625075765988e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.904908496029533 Order of pole (three term test) 1.5421908896092706 Radius of convergence (six term test) for eq 1 34.14910973018209 Order of pole (six term test) 3.0699045135353344 TOP MAIN SOLVE Loop x[1] 2.920000000006027 y[1] (analytic) -12.042212428622626 y[1] (numeric) -12.042213100644137 absolute error 6.720215104394356e-07 relative error 5.580548544735318e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.914894452546032 Order of pole (three term test) 1.5422211232984078 Radius of convergence (six term test) for eq 1 34.22513412042807 Order of pole (six term test) 3.0740926479110477 TOP MAIN SOLVE Loop x[1] 2.9300000000060926 y[1] (analytic) -12.022038955565431 y[1] (numeric) -12.02203963477358 absolute error 6.792081492790203e-07 relative error 5.649691801777024e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.924880401227359 Order of pole (three term test) 1.5422512988313135 Radius of convergence (six term test) for eq 1 34.30125489786915 Order of pole (six term test) 3.0782939923430277 TOP MAIN SOLVE Loop x[1] 2.940000000006158 y[1] (analytic) -12.001851111675172 y[1] (numeric) -12.001851798067795 absolute error 6.863926227396178e-07 relative error 5.719056305172025e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.934866342095817 Order of pole (three term test) 1.5422814163803784 Radius of convergence (six term test) for eq 1 34.377475964733286 Order of pole (six term test) 3.0825094047094144 TOP MAIN SOLVE Loop x[1] 2.9500000000062236 y[1] (analytic) -11.98164890128291 y[1] (numeric) -11.98164959485784 absolute error 6.93574930821228e-07 relative error 5.788643420747915e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.944852275173817 Order of pole (three term test) 1.542311476115874 Radius of convergence (six term test) for eq 1 34.45379390917644 Order of pole (six term test) 3.0867380485829763 TOP MAIN SOLVE Loop x[1] 2.960000000006289 y[1] (analytic) -11.961432328699303 y[1] (numeric) -11.961433029454366 absolute error 7.0075506286571e-07 relative error 5.858454435965619e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.954838200483502 Order of pole (three term test) 1.5423414782087086 Radius of convergence (six term test) for eq 1 34.53021586599649 Order of pole (six term test) 3.090981525746221 TOP MAIN SOLVE Loop x[1] 2.9700000000063547 y[1] (analytic) -11.941201398214737 y[1] (numeric) -11.941202106147799 absolute error 7.079330615056278e-07 relative error 5.928491094802798e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.964824118047273 Order of pole (three term test) 1.5423714228271572 Radius of convergence (six term test) for eq 1 34.60672764752223 Order of pole (six term test) 3.0952365144716474 TOP MAIN SOLVE Loop x[1] 2.98000000000642 y[1] (analytic) -11.920956114099408 y[1] (numeric) -11.920956829208349 absolute error 7.151089409518363e-07 relative error 5.998754916193739e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.974810027887165 Order of pole (three term test) 1.5424013101397902 Radius of convergence (six term test) for eq 1 34.6833505280377 Order of pole (six term test) 3.0995078758726766 TOP MAIN SOLVE Loop x[1] 2.9900000000064857 y[1] (analytic) -11.900696480603447 y[1] (numeric) -11.900697202886148 absolute error 7.222827012043354e-07 relative error 6.069247311546515e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.984795930025154 Order of pole (three term test) 1.5424311403149153 Radius of convergence (six term test) for eq 1 34.76006879526738 Order of pole (six term test) 3.1037919404881684 Finished! diff ( y , x , 1 ) = exp ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 100000 Total Elapsed Time 1 Minutes 41 Seconds Elapsed Time(since restart) 1 Minutes 41 Seconds Time to Timeout 28 Minutes 19.0 Seconds Percent Done 100.00100000065513%