##############ECHO OF PROBLEM################# ##############temp/sinh_sqrtpostode.ode################# diff ( y , x , 1 ) = sinh ( 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_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=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( 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 5.211685631110643e-176 estimated_step_error 5.211685631110643e-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 3.4975026256234254e-168 estimated_step_error 3.4975026256234254e-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 2.3471337480299303e-160 estimated_step_error 2.3471337480299303e-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 1.5751340802940161e-152 estimated_step_error 1.5751340802940161e-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 1.0570536286845343e-144 estimated_step_error 1.0570536286845343e-144 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop x[1] 2.0 y[1] (analytic) 1.7549809219803194 y[1] (numeric) 1.7549809219803194 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 3.9991932055796546 Order of pole (three term test) 1.5073666228167544 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0100000000000655 y[1] (analytic) 1.7617403966623044 y[1] (numeric) 1.7617403918940564 absolute error 4.768248018649501e-09 relative error 2.706555419676565e-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 4.009189404156694 Order of pole (three term test) 1.5073829333615414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000131 y[1] (analytic) 1.7685094039063234 y[1] (numeric) 1.768509394373666 absolute error 9.532657330169059e-09 relative error 5.390221453792166e-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 4.019185594966649 Order of pole (three term test) 1.5073992338763271 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000001965 y[1] (analytic) 1.7752879360607636 y[1] (numeric) 1.7752879217675142 absolute error 1.429324947288535e-08 relative error 8.05122886409122e-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 4.0291817780174295 Order of pole (three term test) 1.5074155243652372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.040000000000262 y[1] (analytic) 1.7820759855084312 y[1] (numeric) 1.7820759664583803 absolute error 1.905005087010636e-08 relative error 1.0689808417272023e-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 4.03917795331717 Order of pole (three term test) 1.5074318048313469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000003276 y[1] (analytic) 1.7888735446662896 y[1] (numeric) 1.7888735208632314 absolute error 2.3803058191163018e-08 relative error 1.3306171507837591e-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 4.0491741208739045 Order of pole (three term test) 1.5074480752781645 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060000000000393 y[1] (analytic) 1.795680605985325 y[1] (numeric) 1.7956805774330171 absolute error 2.855230785137053e-08 relative error 1.5900549215824115e-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 4.059170280695813 Order of pole (three term test) 1.5074643357082091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700000000004586 y[1] (analytic) 1.8024971619502441 y[1] (numeric) 1.8024971286524405 absolute error 3.329780362548718e-08 relative error 1.8473151763223872e-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 4.069166432790777 Order of pole (three term test) 1.5074805861259402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080000000000524 y[1] (analytic) 1.8093232050793375 y[1] (numeric) 1.8093231670397685 absolute error 3.8039569050241084e-08 relative error 2.10241978566638e-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 4.079162577166773 Order of pole (three term test) 1.5074968265349693 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900000000005896 y[1] (analytic) 1.8161587279242148 y[1] (numeric) 1.8161586851465974 absolute error 4.277761744830855e-08 relative error 2.3553898010446133e-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 4.089158713831969 Order of pole (three term test) 1.5075130569379716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100000000000655 y[1] (analytic) 1.8230037230696254 y[1] (numeric) 1.823003675557661 absolute error 4.751196436281191e-08 relative error 2.6062461508751015e-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 4.099154842794498 Order of pole (three term test) 1.5075292773376523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100000000007206 y[1] (analytic) 1.8298581831332452 y[1] (numeric) 1.8298581308906121 absolute error 5.224263310843469e-08 relative error 2.8550099450319274e-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 4.109150964062146 Order of pole (three term test) 1.5075454877388899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.120000000000786 y[1] (analytic) 1.8367221007654653 y[1] (numeric) 1.836722043795833 absolute error 5.6969632344916477e-08 relative error 3.1017012492621517e-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 4.119147077643084 Order of pole (three term test) 1.5075616881440101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1300000000008517 y[1] (analytic) 1.8435954686491929 y[1] (numeric) 1.8435954069562104 absolute error 6.169298250036093e-08 relative error 3.3463405367102326e-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 4.129143183545493 Order of pole (three term test) 1.5075778785560165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.140000000000917 y[1] (analytic) 1.8504782794996562 y[1] (numeric) 1.850478213086959 absolute error 6.641269711948894e-08 relative error 3.58894767127156e-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 4.139139281777159 Order of pole (three term test) 1.507594058978928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500000000009827 y[1] (analytic) 1.8573705260641962 y[1] (numeric) 1.8573704549354002 absolute error 7.112879596427035e-08 relative error 3.829542623086285e-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 4.14913537234601 Order of pole (three term test) 1.507610229416794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.160000000001048 y[1] (analytic) 1.8642722011220787 y[1] (numeric) 1.8642721252807826 absolute error 7.584129613213975e-08 relative error 4.068144989046769e-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 4.159131455260262 Order of pole (three term test) 1.5076263898721518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1700000000011137 y[1] (analytic) 1.8711832974842686 y[1] (numeric) 1.8711832169340672 absolute error 8.05502013978554e-08 relative error 4.30477342899287e-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 4.169127530527932 Order of pole (three term test) 1.5076425403479237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.180000000001179 y[1] (analytic) 1.8781038079932895 y[1] (numeric) 1.8781037227377486 absolute error 8.525554084926057e-08 relative error 4.539447739065826e-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 4.179123598156973 Order of pole (three term test) 1.5076586808480088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1900000000012447 y[1] (analytic) 1.8850337255229785 y[1] (numeric) 1.8850336355656518 absolute error 8.995732669880852e-08 relative error 4.77218659172005e-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 4.189119658155443 Order of pole (three term test) 1.5076748113752985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2000000000013102 y[1] (analytic) 1.8919730429783197 y[1] (numeric) 1.8919729483227492 absolute error 9.46555704928187e-08 relative error 5.0030084119915955e-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 4.199115710531158 Order of pole (three term test) 1.5076909319341067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2100000000013758 y[1] (analytic) 1.898921753295248 y[1] (numeric) 1.8989216539449645 absolute error 9.935028355556597e-08 relative error 5.23193140439625e-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 4.209111755292301 Order of pole (three term test) 1.5077070425266845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2200000000014413 y[1] (analytic) 1.9058798494404723 y[1] (numeric) 1.905879745398979 absolute error 1.0404149319853673e-07 relative error 5.458974406444415e-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 4.219107792446978 Order of pole (three term test) 1.5077231431562104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2300000000015068 y[1] (analytic) 1.912847324411274 y[1] (numeric) 1.9128472156820617 absolute error 1.0872921230031807e-07 relative error 5.684155285826702e-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 4.2291038220025605 Order of pole (three term test) 1.5077392338286146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400000000015723 y[1] (analytic) 1.9198241712353195 y[1] (numeric) 1.9198240578218722 absolute error 1.1341344730020353e-07 relative error 5.90749137340151e-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 4.23909984396788 Order of pole (three term test) 1.5077553145432288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.250000000001638 y[1] (analytic) 1.926810382970503 y[1] (numeric) 1.9268102648762806 absolute error 1.1809422240105505e-07 relative error 6.129000728083731e-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 4.249095858350472 Order of pole (three term test) 1.507771385305757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2600000000017033 y[1] (analytic) 1.9338059527047307 y[1] (numeric) 1.9338058299331846 absolute error 1.2277154604056761e-07 relative error 6.3487003889326316e-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 4.259091865158122 Order of pole (three term test) 1.507787446120272 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.270000000001769 y[1] (analytic) 1.9408108735557672 y[1] (numeric) 1.9408107461103343 absolute error 1.2744543287368515e-07 relative error 6.566607525244944e-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 4.269087864399074 Order of pole (three term test) 1.5078034969885437 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800000000018343 y[1] (analytic) 1.9478251386710408 y[1] (numeric) 1.9478250065551361 absolute error 1.3211590466077894e-07 relative error 6.782739478910247e-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 4.279083856081289 Order of pole (three term test) 1.5078195379145032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2900000000019 y[1] (analytic) 1.9548487412274724 y[1] (numeric) 1.9548486044445 absolute error 1.3678297250407923e-07 relative error 6.997112851718215e-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 4.28907984021279 Order of pole (three term test) 1.5078355689006517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3000000000019654 y[1] (analytic) 1.961881674431302 y[1] (numeric) 1.9618815329846475 absolute error 1.41446654389199e-07 relative error 7.209744411838736e-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 4.299075816801426 Order of pole (three term test) 1.5078515899513547 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310000000002031 y[1] (analytic) 1.9689239315178977 y[1] (numeric) 1.968923785410939 absolute error 1.4610695875383328e-07 relative error 7.420650255451738e-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 4.309071785855119 Order of pole (three term test) 1.5078676010697618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200000000020964 y[1] (analytic) 1.975975505751613 y[1] (numeric) 1.9759753549877102 absolute error 1.5076390291746122e-07 relative error 7.629846750560518e-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 4.319067747382006 Order of pole (three term test) 1.5078836022584254 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330000000002162 y[1] (analytic) 1.9830363904255854 y[1] (numeric) 1.9830362350080901 absolute error 1.5541749531777782e-07 relative error 7.837349635546689e-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 4.329063701389739 Order of pole (three term test) 1.5078995935222546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400000000022274 y[1] (analytic) 1.9901065788615835 y[1] (numeric) 1.9901064187938218 absolute error 1.6006776171195725e-07 relative error 8.043175346092373e-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 4.339059647886523 Order of pole (three term test) 1.5079155748630404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.350000000002293 y[1] (analytic) 1.9971860644098314 y[1] (numeric) 1.9971858996951237 absolute error 1.6471470765111462e-07 relative error 8.247339123097067e-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 4.349055586880204 Order of pole (three term test) 1.5079315462846752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600000000023584 y[1] (analytic) 2.004274840448847 y[1] (numeric) 2.0042746710905024 absolute error 1.693583446815694e-07 relative error 8.44985634024336e-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 4.359051518378957 Order of pole (three term test) 1.5079475077896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370000000002424 y[1] (analytic) 2.01137290038527 y[1] (numeric) 2.0113727263865666 absolute error 1.7399870344547708e-07 relative error 8.650743152209536e-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 4.369047442390197 Order of pole (three term test) 1.507963459383107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800000000024895 y[1] (analytic) 2.0184802376536854 y[1] (numeric) 2.0184800590179095 absolute error 1.7863577594923186e-07 relative error 8.850013619993674e-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 4.379043358922288 Order of pole (three term test) 1.5079794010668706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390000000002555 y[1] (analytic) 2.025596845716505 y[1] (numeric) 2.0255966624469037 absolute error 1.832696012726842e-07 relative error 9.047683978193455e-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 4.3890392679828825 Order of pole (three term test) 1.507995332845634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4000000000026205 y[1] (analytic) 2.032722718063738 y[1] (numeric) 2.032722530163574 absolute error 1.879001638727118e-07 relative error 9.243767593235509e-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 4.3990351695802445 Order of pole (three term test) 1.5080112547206894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.410000000002686 y[1] (analytic) 2.0398578482128897 y[1] (numeric) 2.0398576556853953 absolute error 1.925274943914701e-07 relative error 9.438279954661673e-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 4.409031063722082 Order of pole (three term test) 1.5080271666964478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4200000000027515 y[1] (analytic) 2.0470022297087738 y[1] (numeric) 2.0470020325571636 absolute error 1.971516101484383e-07 relative error 9.631235730333668e-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 4.419026950416425 Order of pole (three term test) 1.508043068776062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.430000000002817 y[1] (analytic) 2.0541558561233533 y[1] (numeric) 2.054155654350835 absolute error 2.0177251824904374e-07 relative error 9.822648931314936e-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 4.429022829670942 Order of pole (three term test) 1.5080589609635102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400000000028825 y[1] (analytic) 2.061318721055592 y[1] (numeric) 2.061318514665363 absolute error 2.0639022890733827e-07 relative error 1.0012533568881903e-05% Correct digits 7 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 4.43901870149373 Order of pole (three term test) 1.508074843261559 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.450000000002948 y[1] (analytic) 2.068490818131302 y[1] (numeric) 2.068490607126545 absolute error 2.110047567782658e-07 relative error 1.0200903718242747e-05% Correct digits 7 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 4.449014565892709 Order of pole (three term test) 1.508090715673236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600000000030136 y[1] (analytic) 2.075672141002979 y[1] (numeric) 2.0756719253868594 absolute error 2.1561611962539473e-07 relative error 1.0387773452564986e-05% Correct digits 7 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 4.459010422875858 Order of pole (three term test) 1.508106578201653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.470000000003079 y[1] (analytic) 2.0828626833496386 y[1] (numeric) 2.0828624631253083 absolute error 2.2022433032731215e-07 relative error 1.0573156458550095e-05% Correct digits 7 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 4.469006272450856 Order of pole (three term test) 1.508122430851252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4800000000031446 y[1] (analytic) 2.0900624388767035 y[1] (numeric) 2.0900622140473035 absolute error 2.248293999862483e-07 relative error 1.0757066191146042e-05% Correct digits 7 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 4.479002114625733 Order of pole (three term test) 1.5081382736241884 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.49000000000321 y[1] (analytic) 2.097271401315812 y[1] (numeric) 2.0972711718844748 absolute error 2.2943133703989815e-07 relative error 1.093951583452455e-05% Correct digits 7 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 4.488997949408427 Order of pole (three term test) 1.5081541065240096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000000000032756 y[1] (analytic) 2.1044895644246946 y[1] (numeric) 2.104489330394523 absolute error 2.34030171686328e-07 relative error 1.1120519466690963e-05% Correct digits 7 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 4.498993776806573 Order of pole (three term test) 1.5081699295551583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510000000003341 y[1] (analytic) 2.1117169219870053 y[1] (numeric) 2.111716683361099 absolute error 2.386259061459839e-07 relative error 1.1300089688226323e-05% Correct digits 7 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 4.508989596828521 Order of pole (three term test) 1.508185742718732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200000000034066 y[1] (analytic) 2.118953467812185 y[1] (numeric) 2.118953224593637 absolute error 2.432185479683824e-07 relative error 1.1478239218698137e-05% Correct digits 7 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 4.518985409481614 Order of pole (three term test) 1.5082015460204814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530000000003472 y[1] (analytic) 2.1261991957353246 y[1] (numeric) 2.1261989479272114 absolute error 2.4780811314073503e-07 relative error 1.1654981040242238e-05% Correct digits 7 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 4.52898121477425 Order of pole (three term test) 1.508217339461271 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400000000035377 y[1] (analytic) 2.1334540996170084 y[1] (numeric) 2.133453847222391 absolute error 2.523946172061642e-07 relative error 1.1830327976190037e-05% Correct digits 7 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 4.538977012713926 Order of pole (three term test) 1.508233123046264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550000000003603 y[1] (analytic) 2.140718173343153 y[1] (numeric) 2.140717916365093 absolute error 2.5697805972058063e-07 relative error 1.2004291967085924e-05% Correct digits 7 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 4.548972803308719 Order of pole (three term test) 1.508248896777547 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600000000036687 y[1] (analytic) 2.147991410824913 y[1] (numeric) 2.1479911492664354 absolute error 2.615584775433888e-07 relative error 1.2176886565991439e-05% Correct digits 7 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 4.558968586566199 Order of pole (three term test) 1.5082646606601915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570000000003734 y[1] (analytic) 2.1552738059984833 y[1] (numeric) 2.155273539862617 absolute error 2.6613586623369656e-07 relative error 1.2348123263642719e-05% Correct digits 7 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 4.568964362494824 Order of pole (three term test) 1.5082804146942084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5800000000037997 y[1] (analytic) 2.1625653528250055 y[1] (numeric) 2.162565082114773 absolute error 2.707102324528421e-07 relative error 1.251801394576157e-05% Correct digits 7 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 4.578960131101839 Order of pole (three term test) 1.5082961588861672 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590000000003865 y[1] (analytic) 2.1698660452903997 y[1] (numeric) 2.169865770008793 absolute error 2.7528160684298086e-07 relative error 1.2686571479399278e-05% Correct digits 7 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 4.588955892395489 Order of pole (three term test) 1.5083118932373416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6000000000039307 y[1] (analytic) 2.1771758774052294 y[1] (numeric) 2.177175597555246 absolute error 2.7984998363095315e-07 relative error 1.2853806921858786e-05% Correct digits 7 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 4.598951646383339 Order of pole (three term test) 1.5083276177524612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6100000000039962 y[1] (analytic) 2.184494843204572 y[1] (numeric) 2.184494558789194 absolute error 2.844153779157921e-07 relative error 1.3019732172888328e-05% Correct digits 7 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 4.6089473930735 Order of pole (three term test) 1.5083433324334026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6200000000040617 y[1] (analytic) 2.191822936747897 y[1] (numeric) 2.191822647770079 absolute error 2.889778181192071e-07 relative error 1.3184359615652897e-05% Correct digits 7 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 4.618943132473596 Order of pole (three term test) 1.5083590372847213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300000000041273 y[1] (analytic) 2.1991601521188837 y[1] (numeric) 2.1991598585815852 absolute error 2.9353729846803844e-07 relative error 1.33476999474193e-05% Correct digits 7 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 4.628938864591717 Order of pole (three term test) 1.5083747323083783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6400000000041928 y[1] (analytic) 2.2065064834253434 y[1] (numeric) 2.2065061853314902 absolute error 2.980938531571553e-07 relative error 1.3509765568166355e-05% Correct digits 7 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 4.638934589435561 Order of pole (three term test) 1.5083904175084093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500000000042583 y[1] (analytic) 2.213861924799044 y[1] (numeric) 2.2138616221515766 absolute error 3.0264746753161376e-07 relative error 1.3670566539920306e-05% Correct digits 7 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 4.648930307012932 Order of pole (three term test) 1.508406092888278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660000000004324 y[1] (analytic) 2.2212264703956013 y[1] (numeric) 2.2212261631974295 absolute error 3.0719817178948006e-07 relative error 1.38301148434796e-05% Correct digits 7 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 4.658926017331747 Order of pole (three term test) 1.508421758450775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700000000043893 y[1] (analytic) 2.2286001143943395 y[1] (numeric) 2.2285998026483673 absolute error 3.1174597214800315e-07 relative error 1.3988421257562642e-05% Correct digits 7 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 4.668921720399783 Order of pole (three term test) 1.5084374141993104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.680000000004455 y[1] (analytic) 2.235982850998166 y[1] (numeric) 2.23598253470728 absolute error 3.162908859266622e-07 relative error 1.4145496947146381e-05% Correct digits 7 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 4.678917416224883 Order of pole (three term test) 1.508453060137103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900000000045203 y[1] (analytic) 2.2433746744334293 y[1] (numeric) 2.24337435360051 absolute error 3.208329193427062e-07 relative error 1.4301352466847003e-05% Correct digits 7 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 4.688913104814663 Order of pole (three term test) 1.5084686962684495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700000000004586 y[1] (analytic) 2.2507755789497974 y[1] (numeric) 2.250775253577723 absolute error 3.2537207461658113e-07 relative error 1.445599808615297e-05% Correct digits 7 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 4.698908786177366 Order of pole (three term test) 1.5084843225945908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100000000046514 y[1] (analytic) 2.2581855588201485 y[1] (numeric) 2.2581852289117763 absolute error 3.299083721763907e-07 relative error 1.4609444776927918e-05% Correct digits 7 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 4.708904460320562 Order of pole (three term test) 1.5084999391202858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.720000000004717 y[1] (analytic) 2.2656046083404267 y[1] (numeric) 2.2656042738985933 absolute error 3.3444183333841693e-07 relative error 1.4761703437008729e-05% Correct digits 7 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 4.718900127252062 Order of pole (three term test) 1.5085155458481458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300000000047824 y[1] (analytic) 2.273032721829498 y[1] (numeric) 2.2730323828570542 absolute error 3.3897244389180514e-07 relative error 1.4912783288881827e-05% Correct digits 7 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 4.728895786979712 Order of pole (three term test) 1.508531142781725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.740000000004848 y[1] (analytic) 2.280469893629073 y[1] (numeric) 2.2804695501288386 absolute error 3.435002344787108e-07 relative error 1.5062695431250556e-05% Correct digits 7 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 4.738891439511211 Order of pole (three term test) 1.5085467299245319 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500000000049134 y[1] (analytic) 2.2879161181035528 y[1] (numeric) 2.287915770078329 absolute error 3.4802522375088074e-07 relative error 1.521145032359656e-05% Correct digits 7 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 4.748887084854461 Order of pole (three term test) 1.5085623072795116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.760000000004979 y[1] (analytic) 2.2953713896398966 y[1] (numeric) 2.2953710370924956 absolute error 3.525474010501739e-07 relative error 1.53590570415484e-05% Correct digits 7 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 4.75888272301728 Order of pole (three term test) 1.5085778748496432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7700000000050444 y[1] (analytic) 2.3028357026475295 y[1] (numeric) 2.302835345580736 absolute error 3.570667934660321e-07 relative error 1.550552621081559e-05% Correct digits 7 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 4.768878354007618 Order of pole (three term test) 1.5085934326377337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.78000000000511 y[1] (analytic) 2.3103090515582103 y[1] (numeric) 2.3103086899747987 absolute error 3.6158341165659635e-07 relative error 1.5650867636636014e-05% Correct digits 7 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 4.778873977832844 Order of pole (three term test) 1.5086089806486553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7900000000051755 y[1] (analytic) 2.3177914308258956 y[1] (numeric) 2.3177910647286315 absolute error 3.6609726405956167e-07 relative error 1.5795090929692094e-05% Correct digits 7 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 4.788869594501091 Order of pole (three term test) 1.5086245188843983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.800000000005241 y[1] (analytic) 2.325282834926636 y[1] (numeric) 2.3252824643182866 absolute error 3.706083493426604e-07 relative error 1.593820518416003e-05% Correct digits 7 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 4.798865204019925 Order of pole (three term test) 1.5086400473486674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100000000053065 y[1] (analytic) 2.332783258358477 y[1] (numeric) 2.332782883241778 absolute error 3.7511669903622646e-07 relative error 1.608022081314948e-05% Correct digits 7 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 4.808860806397263 Order of pole (three term test) 1.508655566044822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820000000005372 y[1] (analytic) 2.3402926956412884 y[1] (numeric) 2.3402923160189797 absolute error 3.7962230869936775e-07 relative error 1.6221146585912126e-05% Correct digits 7 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 4.818856401640845 Order of pole (three term test) 1.5086710749755972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300000000054375 y[1] (analytic) 2.347811141316706 y[1] (numeric) 2.347810757191513 absolute error 3.841251929870282e-07 relative error 1.6360991999194705e-05% Correct digits 7 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 4.82885198975843 Order of pole (three term test) 1.5086865741447375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840000000005503 y[1] (analytic) 2.3553385899479906 y[1] (numeric) 2.3553382013226205 absolute error 3.886253701068654e-07 relative error 1.6499766605337487e-05% Correct digits 7 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 4.838847570758041 Order of pole (three term test) 1.5087020635542783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500000000055685 y[1] (analytic) 2.3628750361198954 y[1] (numeric) 2.36287464299705 absolute error 3.9312284538794984e-07 relative error 1.663747931560111e-05% Correct digits 7 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 4.848843144647089 Order of pole (three term test) 1.5087175432088027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860000000005634 y[1] (analytic) 2.37042047443858 y[1] (numeric) 2.3704200768209565 absolute error 3.976176237152629e-07 relative error 1.6774138934546463e-05% Correct digits 7 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 4.858838711433252 Order of pole (three term test) 1.508733013112067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700000000056995 y[1] (analytic) 2.3779748995315018 y[1] (numeric) 2.377974497421777 absolute error 4.0210972462872974e-07 relative error 1.6909754796316463e-05% Correct digits 7 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 4.868834271124715 Order of pole (three term test) 1.5087484732653098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880000000005765 y[1] (analytic) 2.385538306047266 y[1] (numeric) 2.3855378994481056 absolute error 4.065991605628483e-07 relative error 1.704433584370169e-05% Correct digits 7 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 4.8788298237289025 Order of pole (three term test) 1.50876392367358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8900000000058306 y[1] (analytic) 2.3931106886555575 y[1] (numeric) 2.393110277569631 absolute error 4.110859266326372e-07 relative error 1.717789020714224e-05% Correct digits 7 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 4.88882536925372 Order of pole (three term test) 1.5087793643391294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.900000000005896 y[1] (analytic) 2.4006920420470053 y[1] (numeric) 2.4006916264769576 absolute error 4.1557004770709227e-07 relative error 1.7310427178021006e-05% Correct digits 7 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 4.898820907706894 Order of pole (three term test) 1.508794795265266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9100000000059616 y[1] (analytic) 2.408282360933079 y[1] (numeric) 2.408281940881558 absolute error 4.20051520677589e-07 relative error 1.7441954792827607e-05% Correct digits 7 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 4.908816439096097 Order of pole (three term test) 1.508810216455825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920000000006027 y[1] (analytic) 2.415881640045976 y[1] (numeric) 2.415881215515612 absolute error 4.24530363751785e-07 relative error 1.757248189293354e-05% Correct digits 7 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 4.918811963429213 Order of pole (three term test) 1.508825627912949 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300000000060926 y[1] (analytic) 2.4234898741385287 y[1] (numeric) 2.4234894451319295 absolute error 4.2900659913414074e-07 relative error 1.77020173969837e-05% Correct digits 7 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 4.9288074807138615 Order of pole (three term test) 1.5088410296407757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.940000000006158 y[1] (analytic) 2.431107057984068 y[1] (numeric) 2.431106624503847 absolute error 4.3348022105149653e-07 relative error 1.7830568984113298e-05% Correct digits 7 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 4.938802990957673 Order of pole (three term test) 1.508856421642742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9500000000062236 y[1] (analytic) 2.4387331863763677 y[1] (numeric) 2.438732748425112 absolute error 4.3795125570511573e-07 relative error 1.7958145571301832e-05% Correct digits 7 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 4.948798494168665 Order of pole (three term test) 1.5088718039209894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.960000000006289 y[1] (analytic) 2.446368254129464 y[1] (numeric) 2.4463678117097705 absolute error 4.424196933250357e-07 relative error 1.8084754516342022e-05% Correct digits 7 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 4.9587939903542635 Order of pole (three term test) 1.5088871764799914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9700000000063547 y[1] (analytic) 2.4540122560776165 y[1] (numeric) 2.4540118091920653 absolute error 4.468855512307357e-07 relative error 1.821040421146949e-05% Correct digits 7 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 4.968789479522593 Order of pole (three term test) 1.508902539321216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.98000000000642 y[1] (analytic) 2.461665187075182 y[1] (numeric) 2.461664735726342 absolute error 4.513488400803567e-07 relative error 1.833510269593669e-05% Correct digits 7 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 4.978784961680922 Order of pole (three term test) 1.5089178924496436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9900000000064857 y[1] (analytic) 2.4693270419964986 y[1] (numeric) 2.4693265861869316 absolute error 4.5580956697932606e-07 relative error 1.845885778705097e-05% Correct digits 7 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 4.98878043683708 Order of pole (three term test) 1.5089332358684076 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sinh ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 100000 Total Elapsed Time 2 Minutes 20 Seconds Elapsed Time(since restart) 2 Minutes 20 Seconds Time to Timeout 7 Minutes 40.0 Seconds Percent Done 100.00100000065513%