##############ECHO OF PROBLEM################# ##############temp/ln_sqrtpostode.ode################# diff ( y , x , 1 ) = ln ( 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=10.0 x_end=11.0 $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=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(5.0 * ln(0.1 * x + 0.2) * ( 0.1 * x + 0.2) - 0.5 * x - 1.0) 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 7.139724067009261e-187 estimated_step_error 7.139724067009261e-187 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 4.791387528773244e-179 estimated_step_error 4.791387528773244e-179 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 3.215445491650006e-171 estimated_step_error 3.215445491650006e-171 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 2.157848608122515e-163 estimated_step_error 2.157848608122515e-163 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 1.448107239647681e-155 estimated_step_error 1.448107239647681e-155 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop x[1] 10.0 y[1] (analytic) -4.906070659236272 y[1] (numeric) -4.906070659236272 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 12.023378438759403 Order of pole (three term test) 0.8872773472342181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.010009999999621 y[1] (analytic) -4.9051560529226705 y[1] (numeric) -4.905156052922634 absolute error 3.6415315207705135e-14 relative error 7.423885155704183e-13% Correct digits 15 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 12.03340794027322 Order of pole (three term test) 0.8872773472343761 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.020009999999242 y[1] (analytic) -4.904238195024584 y[1] (numeric) -4.904238195024518 absolute error 6.661338147750939e-14 relative error 1.358281935512218e-12% Correct digits 14 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 12.043427422305378 Order of pole (three term test) 0.8872773472339593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.030009999998864 y[1] (analytic) -4.903316177395704 y[1] (numeric) -4.903316177395598 absolute error 1.056932319443149e-13 relative error 2.155545922809565e-12% Correct digits 14 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 12.053446904337127 Order of pole (three term test) 0.8872773472343374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.040009999998485 y[1] (analytic) -4.902390003493822 y[1] (numeric) -4.902390003493698 absolute error 1.234568003383174e-13 relative error 2.5182982229143857e-12% Correct digits 14 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 12.063466386368972 Order of pole (three term test) 0.8872773472344434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.050009999998107 y[1] (analytic) -4.901459676770992 y[1] (numeric) -4.901459676770845 absolute error 1.474376176702208e-13 relative error 3.0080348996638174e-12% Correct digits 14 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 12.073485868400823 Order of pole (three term test) 0.8872773472345404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.060009999997728 y[1] (analytic) -4.9005252006735365 y[1] (numeric) -4.900525200673344 absolute error 1.9273471707492718e-13 relative error 3.932940025457626e-12% Correct digits 14 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 12.08350535043275 Order of pole (three term test) 0.8872773472345907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.07000999999735 y[1] (analytic) -4.8995865786420625 y[1] (numeric) -4.899586578641838 absolute error 2.2470914018413168e-13 relative error 4.586287773006566e-12% Correct digits 14 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 12.093524832464544 Order of pole (three term test) 0.8872773472348334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.080009999996971 y[1] (analytic) -4.898643814111475 y[1] (numeric) -4.8986438141112085 absolute error 2.6645352591003757e-13 relative error 5.4393325177565985e-12% Correct digits 14 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 12.103544314496682 Order of pole (three term test) 0.887277347234269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.090009999996592 y[1] (analytic) -4.897696910510994 y[1] (numeric) -4.897696910510705 absolute error 2.8954616482224083e-13 relative error 5.911884098030709e-12% Correct digits 14 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 12.113563796528636 Order of pole (three term test) 0.8872773472343782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.100009999996214 y[1] (analytic) -4.896745871264167 y[1] (numeric) -4.896745871263854 absolute error 3.126388037344441e-13 relative error 6.3846238288394534e-12% Correct digits 14 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 12.123583278560721 Order of pole (three term test) 0.8872773472340829 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.110009999995835 y[1] (analytic) -4.895790699788878 y[1] (numeric) -4.895790699788522 absolute error 3.561595462997502e-13 relative error 7.2748115297312225e-12% Correct digits 14 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 12.13360276059229 Order of pole (three term test) 0.8872773472346546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.120009999995457 y[1] (analytic) -4.894831399497373 y[1] (numeric) -4.894831399496978 absolute error 3.9523939676655573e-13 relative error 8.074627387720463e-12% Correct digits 14 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 12.1436222426244 Order of pole (three term test) 0.8872773472343786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.130009999995078 y[1] (analytic) -4.893867973796262 y[1] (numeric) -4.893867973795825 absolute error 4.369837824924616e-13 relative error 8.929210694531373e-12% Correct digits 14 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 12.153641724656339 Order of pole (three term test) 0.8872773472342472 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.1400099999947 y[1] (analytic) -4.892900426086541 y[1] (numeric) -4.892900426086074 absolute error 4.671818487622659e-13 relative error 9.548157699500317e-12% Correct digits 14 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 12.163661206688225 Order of pole (three term test) 0.8872773472344385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.150009999994321 y[1] (analytic) -4.891928759763603 y[1] (numeric) -4.891928759763108 absolute error 4.956035581926699e-13 relative error 1.0131046107397103e-11% Correct digits 13 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 12.173680688720328 Order of pole (three term test) 0.8872773472339913 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.160009999993942 y[1] (analytic) -4.89095297821725 y[1] (numeric) -4.890952978216711 absolute error 5.39124300757976e-13 relative error 1.1022888650924765e-11% Correct digits 13 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 12.183700170752104 Order of pole (three term test) 0.8872773472343872 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.170009999993564 y[1] (analytic) -4.889973084831709 y[1] (numeric) -4.889973084831159 absolute error 5.497824417943775e-13 relative error 1.1243056602903543e-11% Correct digits 13 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 12.193719652783969 Order of pole (three term test) 0.8872773472343245 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.180009999993185 y[1] (analytic) -4.888989082985648 y[1] (numeric) -4.888989082985062 absolute error 5.861977570020827e-13 relative error 1.1990162936590125e-11% Correct digits 13 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 12.203739134815992 Order of pole (three term test) 0.8872773472342247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.190009999992807 y[1] (analytic) -4.888000976052185 y[1] (numeric) -4.888000976051572 absolute error 6.128431095930864e-13 relative error 1.2537704321165087e-11% Correct digits 13 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 12.213758616847931 Order of pole (three term test) 0.8872773472342012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.200009999992428 y[1] (analytic) -4.887008767398903 y[1] (numeric) -4.887008767398251 absolute error 6.519229600598919e-13 relative error 1.3339917955720715e-11% Correct digits 13 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 12.223778098879805 Order of pole (three term test) 0.8872773472342751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.21000999999205 y[1] (analytic) -4.886012460387866 y[1] (numeric) -4.886012460387175 absolute error 6.910028105266974e-13 relative error 1.4142469265660522e-11% Correct digits 13 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 12.233797580911695 Order of pole (three term test) 0.8872773472343706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.220009999991671 y[1] (analytic) -4.88501205837563 y[1] (numeric) -4.885012058374904 absolute error 7.265299473147024e-13 relative error 1.4872633652337166e-11% Correct digits 13 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 12.24381706294372 Order of pole (three term test) 0.8872773472341292 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.230009999991292 y[1] (analytic) -4.884007564713258 y[1] (numeric) -4.884007564712494 absolute error 7.638334409421077e-13 relative error 1.5639481119168836e-11% Correct digits 13 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 12.253836544975385 Order of pole (three term test) 0.8872773472346596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.240009999990914 y[1] (analytic) -4.882998982746334 y[1] (numeric) -4.882998982745539 absolute error 7.949196856316121e-13 relative error 1.6279333426863163e-11% Correct digits 13 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 12.263856027007314 Order of pole (three term test) 0.8872773472346469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.250009999990535 y[1] (analytic) -4.881986315814972 y[1] (numeric) -4.881986315814128 absolute error 8.43769498715119e-13 relative error 1.72833237156312e-11% Correct digits 13 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 12.273875509039371 Order of pole (three term test) 0.8872773472344043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.260009999990157 y[1] (analytic) -4.880969567253836 y[1] (numeric) -4.880969567252962 absolute error 8.739675649849232e-13 relative error 1.7905613893770714e-11% Correct digits 13 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 12.283894991071307 Order of pole (three term test) 0.8872773472343539 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.270009999989778 y[1] (analytic) -4.879948740392149 y[1] (numeric) -4.879948740391221 absolute error 9.281464485866309e-13 relative error 1.9019594220410718e-11% Correct digits 13 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 12.293914473103255 Order of pole (three term test) 0.8872773472342078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.2800099999894 y[1] (analytic) -4.878923838553707 y[1] (numeric) -4.878923838552734 absolute error 9.725553695716371e-13 relative error 1.9933809211908878e-11% Correct digits 13 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 12.303933955135019 Order of pole (three term test) 0.887277347234521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.29000999998902 y[1] (analytic) -4.877894865056893 y[1] (numeric) -4.877894865055877 absolute error 1.0160761121369433e-12 relative error 2.083021754764885e-11% Correct digits 13 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 12.313953437167081 Order of pole (three term test) 0.8872773472342812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.300009999988642 y[1] (analytic) -4.876861823214691 y[1] (numeric) -4.876861823213631 absolute error 1.0595968547022494e-12 relative error 2.1727022276054416e-11% Correct digits 13 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 12.323972919199086 Order of pole (three term test) 0.8872773472342902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.310009999988264 y[1] (analytic) -4.875824716334695 y[1] (numeric) -4.875824716333601 absolute error 1.0942358130705543e-12 relative error 2.2442066249935342e-11% Correct digits 13 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 12.333992401230951 Order of pole (three term test) 0.8872773472341882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.320009999987885 y[1] (analytic) -4.8747835477191295 y[1] (numeric) -4.874783547717986 absolute error 1.1430856261540612e-12 relative error 2.3448951424497635e-11% Correct digits 13 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 12.344011883262814 Order of pole (three term test) 0.8872773472343519 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.330009999987507 y[1] (analytic) -4.873738320664852 y[1] (numeric) -4.873738320663664 absolute error 1.1883827255587676e-12 relative error 2.438339211852995e-11% Correct digits 13 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 12.354031365294656 Order of pole (three term test) 0.8872773472344947 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.340009999987128 y[1] (analytic) -4.872689038463381 y[1] (numeric) -4.872689038462141 absolute error 1.2398970739013748e-12 relative error 2.5445848567680823e-11% Correct digits 13 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 12.364050847326483 Order of pole (three term test) 0.8872773472345812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.35000999998675 y[1] (analytic) -4.871635704400892 y[1] (numeric) -4.871635704399613 absolute error 1.2789769243681803e-12 relative error 2.6253541971802003e-11% Correct digits 13 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 12.374070329358544 Order of pole (three term test) 0.8872773472344506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.36000999998637 y[1] (analytic) -4.870578321758243 y[1] (numeric) -4.870578321756925 absolute error 1.3180567748349858e-12 relative error 2.706160722119703e-11% Correct digits 13 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 12.384089811390425 Order of pole (three term test) 0.8872773472344572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.370009999985992 y[1] (analytic) -4.8695168938109825 y[1] (numeric) -4.869516893809637 absolute error 1.3455903058456897e-12 relative error 2.7632932284430447e-11% Correct digits 13 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 12.394109293422295 Order of pole (three term test) 0.8872773472345745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.380009999985614 y[1] (analytic) -4.868451423829363 y[1] (numeric) -4.8684514238279615 absolute error 1.4015455462867976e-12 relative error 2.8788323519604684e-11% Correct digits 13 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 12.404128775454446 Order of pole (three term test) 0.8872773472341525 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.390009999985235 y[1] (analytic) -4.8673819150783535 y[1] (numeric) -4.867381915076913 absolute error 1.4406253967536031e-12 relative error 2.959754179738354e-11% Correct digits 13 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 12.414148257486113 Order of pole (three term test) 0.8872773472344487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.400009999984857 y[1] (analytic) -4.866308370817653 y[1] (numeric) -4.8663083708161805 absolute error 1.4725998198628076e-12 relative error 3.026112830608342e-11% Correct digits 13 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 12.42416773951818 Order of pole (three term test) 0.8872773472342762 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.410009999984478 y[1] (analytic) -4.865230794301703 y[1] (numeric) -4.865230794300188 absolute error 1.5152323840084136e-12 relative error 3.114410082627728e-11% Correct digits 13 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 12.434187221550124 Order of pole (three term test) 0.8872773472342129 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.4200099999841 y[1] (analytic) -4.864149188779701 y[1] (numeric) -4.864149188778136 absolute error 1.5649703755116207e-12 relative error 3.217356858875939e-11% Correct digits 13 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 12.444206703582058 Order of pole (three term test) 0.8872773472342556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.43000999998372 y[1] (analytic) -4.863063557495609 y[1] (numeric) -4.863063557494 absolute error 1.609379296496627e-12 relative error 3.309393919016408e-11% Correct digits 13 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 12.45422618561406 Order of pole (three term test) 0.8872773472341069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.440009999983342 y[1] (analytic) -4.861973903688174 y[1] (numeric) -4.861973903686525 absolute error 1.6493473253831326e-12 relative error 3.3923409669722377e-11% Correct digits 13 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 12.464245667646043 Order of pole (three term test) 0.887277347234134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.450009999982964 y[1] (analytic) -4.860880230590933 y[1] (numeric) -4.860880230589243 absolute error 1.6902035326893383e-12 relative error 3.477155273344107e-11% Correct digits 13 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 12.474265149677706 Order of pole (three term test) 0.887277347234453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.460009999982585 y[1] (analytic) -4.859782541432229 y[1] (numeric) -4.859782541430489 absolute error 1.7399415241925453e-12 relative error 3.580286791350475e-11% Correct digits 13 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 12.484284631709643 Order of pole (three term test) 0.8872773472343517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.470009999982206 y[1] (analytic) -4.858680839435223 y[1] (numeric) -4.858680839433435 absolute error 1.787903158856352e-12 relative error 3.679811903562242e-11% Correct digits 13 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 12.494304113741594 Order of pole (three term test) 0.8872773472343355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.480009999981828 y[1] (analytic) -4.857575127817908 y[1] (numeric) -4.857575127816082 absolute error 1.8260948309034575e-12 relative error 3.759272441193854e-11% Correct digits 13 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 12.504323595773583 Order of pole (three term test) 0.887277347234107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.49000999998145 y[1] (analytic) -4.856465409793119 y[1] (numeric) -4.856465409791235 absolute error 1.8838264281839656e-12 relative error 3.879007198085274e-11% Correct digits 13 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 12.5143430778055 Order of pole (three term test) 0.8872773472342228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.50000999998107 y[1] (analytic) -4.855351688568545 y[1] (numeric) -4.8553516885666435 absolute error 1.901589996577968e-12 relative error 3.916482509506114e-11% Correct digits 13 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 12.524362559837378 Order of pole (three term test) 0.8872773472342631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.510009999980692 y[1] (analytic) -4.854233967346745 y[1] (numeric) -4.854233967344802 absolute error 1.942446203884174e-12 relative error 4.0015504340139735e-11% Correct digits 13 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 12.534382041869138 Order of pole (three term test) 0.8872773472345856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.520009999980314 y[1] (analytic) -4.8531122493251555 y[1] (numeric) -4.853112249323167 absolute error 1.9886314817085804e-12 relative error 4.0976416360143074e-11% Correct digits 13 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 12.544401523901103 Order of pole (three term test) 0.8872773472344575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.530009999979935 y[1] (analytic) -4.851986537696109 y[1] (numeric) -4.851986537694075 absolute error 2.0339285811132868e-12 relative error 4.191950174039572e-11% Correct digits 13 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 12.554421005933017 Order of pole (three term test) 0.8872773472344723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.540009999979556 y[1] (analytic) -4.850856835646839 y[1] (numeric) -4.850856835644746 absolute error 2.093436535233195e-12 relative error 4.315601565169765e-11% Correct digits 13 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 12.564440487965133 Order of pole (three term test) 0.8872773472341937 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.550009999979178 y[1] (analytic) -4.849723146359496 y[1] (numeric) -4.849723146357349 absolute error 2.1467272404152027e-12 relative error 4.4264944113906165e-11% Correct digits 13 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 12.574459969997104 Order of pole (three term test) 0.8872773472342537 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.5600099999788 y[1] (analytic) -4.848585473011163 y[1] (numeric) -4.848585473008965 absolute error 2.19735341033811e-12 relative error 4.531947353654605e-11% Correct digits 13 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 12.584479452028967 Order of pole (three term test) 0.8872773472341332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.57000999997842 y[1] (analytic) -4.847443818773858 y[1] (numeric) -4.847443818771617 absolute error 2.240874152903416e-12 relative error 4.6227955117801376e-11% Correct digits 13 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 12.594498934060818 Order of pole (three term test) 0.8872773472343207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.580009999978042 y[1] (analytic) -4.846298186814557 y[1] (numeric) -4.846298186812275 absolute error 2.2817303602096217e-12 relative error 4.7081922577888046e-11% Correct digits 13 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 12.604518416092642 Order of pole (three term test) 0.8872773472344901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.590009999977664 y[1] (analytic) -4.8451485802951995 y[1] (numeric) -4.845148580292867 absolute error 2.332356530132529e-12 relative error 4.813797743206516e-11% Correct digits 13 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 12.614537898124718 Order of pole (three term test) 0.8872773472342027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.600009999977285 y[1] (analytic) -4.843995002372701 y[1] (numeric) -4.843995002370338 absolute error 2.362554596402333e-12 relative error 4.8772853713620666e-11% Correct digits 13 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 12.624557380156688 Order of pole (three term test) 0.8872773472340325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.610009999976906 y[1] (analytic) -4.842837456198967 y[1] (numeric) -4.842837456196566 absolute error 2.4007462684494385e-12 relative error 4.9573133316221806e-11% Correct digits 13 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 12.634576862188482 Order of pole (three term test) 0.8872773472343922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.620009999976528 y[1] (analytic) -4.841675944920905 y[1] (numeric) -4.841675944918467 absolute error 2.4371615836571436e-12 relative error 5.0337147950056747e-11% Correct digits 13 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 12.644596344220338 Order of pole (three term test) 0.8872773472344923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.63000999997615 y[1] (analytic) -4.840510471680433 y[1] (numeric) -4.840510471677947 absolute error 2.4860113967406505e-12 relative error 5.135845509032865e-11% Correct digits 13 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 12.654615826252382 Order of pole (three term test) 0.8872773472343406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.64000999997577 y[1] (analytic) -4.839341039614495 y[1] (numeric) -4.839341039611971 absolute error 2.524203068787756e-12 relative error 5.216005749801084e-11% Correct digits 13 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 12.664635308284344 Order of pole (three term test) 0.8872773472341813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.650009999975392 y[1] (analytic) -4.8381676518550725 y[1] (numeric) -4.838167651852499 absolute error 2.573052881871263e-12 relative error 5.3182383642383517e-11% Correct digits 13 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 12.674654790316346 Order of pole (three term test) 0.8872773472340284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.660009999975014 y[1] (analytic) -4.836990311529193 y[1] (numeric) -4.836990311526577 absolute error 2.615685446016869e-12 relative error 5.407671460044607e-11% Correct digits 13 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 12.684674272347884 Order of pole (three term test) 0.8872773472346286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.670009999974635 y[1] (analytic) -4.835809021758944 y[1] (numeric) -4.8358090217562735 absolute error 2.6707525080382766e-12 relative error 5.522865969315792e-11% Correct digits 13 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 12.694693754379955 Order of pole (three term test) 0.8872773472344062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.680009999974256 y[1] (analytic) -4.834623785661488 y[1] (numeric) -4.834623785658771 absolute error 2.7178259642823832e-12 relative error 5.6215872936026636e-11% Correct digits 13 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 12.704713236411912 Order of pole (three term test) 0.8872773472344233 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.690009999973878 y[1] (analytic) -4.833434606349068 y[1] (numeric) -4.8334346063462945 absolute error 2.773781204723491e-12 relative error 5.738737420963403e-11% Correct digits 13 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 12.714732718443724 Order of pole (three term test) 0.887277347234532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.7000099999735 y[1] (analytic) -4.832241486929022 y[1] (numeric) -4.832241486926204 absolute error 2.8181901257084974e-12 relative error 5.832055648153273e-11% Correct digits 13 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 12.724752200475782 Order of pole (three term test) 0.8872773472342914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.71000999997312 y[1] (analytic) -4.8310444305037965 y[1] (numeric) -4.831044430500934 absolute error 2.8625990466935036e-12 relative error 5.925424797624937e-11% Correct digits 13 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 12.734771682507828 Order of pole (three term test) 0.8872773472341636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.720009999972742 y[1] (analytic) -4.8298434401709525 y[1] (numeric) -4.829843440168045 absolute error 2.90789614609821e-12 relative error 6.020684070031233e-11% Correct digits 13 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 12.744791164539727 Order of pole (three term test) 0.8872773472341702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.730009999972363 y[1] (analytic) -4.828638519023184 y[1] (numeric) -4.828638519020227 absolute error 2.957634137601417e-12 relative error 6.1251926934463e-11% Correct digits 13 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 12.754810646571592 Order of pole (three term test) 0.8872773472343412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.740009999971985 y[1] (analytic) -4.827429670148326 y[1] (numeric) -4.827429670145324 absolute error 3.0020430585864233e-12 relative error 6.218719409109866e-11% Correct digits 13 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 12.76483012860329 Order of pole (three term test) 0.8872773472345563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.750009999971606 y[1] (analytic) -4.826216896629363 y[1] (numeric) -4.826216896626315 absolute error 3.0482283364108298e-12 relative error 6.315978750436427e-11% Correct digits 13 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 12.774849610635439 Order of pole (three term test) 0.8872773472342286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.760009999971228 y[1] (analytic) -4.825000201544447 y[1] (numeric) -4.825000201541364 absolute error 3.0828672947791347e-12 relative error 6.389362002083091e-11% Correct digits 13 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 12.784869092667513 Order of pole (three term test) 0.8872773472340391 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.77000999997085 y[1] (analytic) -4.823779587966904 y[1] (numeric) -4.823779587963788 absolute error 3.1157298963080393e-12 relative error 6.459105022294847e-11% Correct digits 13 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 12.79488857469917 Order of pole (three term test) 0.8872773472344505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.78000999997047 y[1] (analytic) -4.822555058965245 y[1] (numeric) -4.822555058962063 absolute error 3.1814550993658486e-12 relative error 6.597032196556155e-11% Correct digits 13 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 12.804908056731048 Order of pole (three term test) 0.8872773472344562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.790009999970092 y[1] (analytic) -4.82132661760318 y[1] (numeric) -4.821326617599941 absolute error 3.2391866966463567e-12 relative error 6.71845521691009e-11% Correct digits 13 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 12.814927538763081 Order of pole (three term test) 0.8872773472343467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.800009999969713 y[1] (analytic) -4.8200942669396305 y[1] (numeric) -4.820094266936344 absolute error 3.2862601528904634e-12 relative error 6.817833782692745e-11% Correct digits 13 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 12.824947020794902 Order of pole (three term test) 0.8872773472344117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.810009999969335 y[1] (analytic) -4.818858010028737 y[1] (numeric) -4.818858010025417 absolute error 3.320010932839068e-12 relative error 6.889621827266227e-11% Correct digits 13 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 12.834966502826891 Order of pole (three term test) 0.8872773472341793 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.820009999968956 y[1] (analytic) -4.817617849919868 y[1] (numeric) -4.817617849916492 absolute error 3.375966173280176e-12 relative error 7.00754247939431e-11% Correct digits 13 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 12.844985984858546 Order of pole (three term test) 0.887277347234702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.830009999968578 y[1] (analytic) -4.816373789657641 y[1] (numeric) -4.816373789654214 absolute error 3.4274805216227833e-12 relative error 7.116309222059811e-11% Correct digits 13 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 12.855005466890795 Order of pole (three term test) 0.8872773472342368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.8400099999682 y[1] (analytic) -4.815125832281922 y[1] (numeric) -4.815125832278447 absolute error 3.47455397786689e-12 relative error 7.215915219852675e-11% Correct digits 13 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 12.865024948922532 Order of pole (three term test) 0.8872773472345452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.85000999996782 y[1] (analytic) -4.813873980827847 y[1] (numeric) -4.813873980824317 absolute error 3.5296210398882977e-12 relative error 7.332184128512034e-11% Correct digits 13 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 12.87504443095466 Order of pole (three term test) 0.8872773472342279 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.860009999967442 y[1] (analytic) -4.812618238325823 y[1] (numeric) -4.8126182383222345 absolute error 3.588240815588506e-12 relative error 7.455901627544752e-11% Correct digits 13 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 12.885063912986633 Order of pole (three term test) 0.8872773472340603 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.870009999967063 y[1] (analytic) -4.811358607801547 y[1] (numeric) -4.81135860779792 absolute error 3.6273206660553114e-12 relative error 7.53907775690148e-11% Correct digits 13 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 12.895083395018597 Order of pole (three term test) 0.8872773472339665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.880009999966685 y[1] (analytic) -4.810095092276015 y[1] (numeric) -4.810095092272349 absolute error 3.665512338102417e-12 relative error 7.620457117341498e-11% Correct digits 13 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 12.90510287705015 Order of pole (three term test) 0.8872773472345854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.890009999966306 y[1] (analytic) -4.808827694765529 y[1] (numeric) -4.8088276947618045 absolute error 3.724132113802625e-12 relative error 7.744365883303307e-11% Correct digits 13 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 12.915122359082204 Order of pole (three term test) 0.8872773472344722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.900009999965928 y[1] (analytic) -4.807556418281713 y[1] (numeric) -4.807556418277929 absolute error 3.784528246342234e-12 relative error 7.872041255617498e-11% Correct digits 13 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 12.925141841114097 Order of pole (three term test) 0.8872773472345127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.910009999965549 y[1] (analytic) -4.8062812658315215 y[1] (numeric) -4.806281265827692 absolute error 3.82982534574694e-12 relative error 7.968375411097279e-11% Correct digits 13 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 12.935161323146007 Order of pole (three term test) 0.8872773472345166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.92000999996517 y[1] (analytic) -4.8050022404172505 y[1] (numeric) -4.805002240413367 absolute error 3.8831160509289475e-12 relative error 8.081403205738673e-11% Correct digits 13 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 12.945180805178142 Order of pole (three term test) 0.8872773472342553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.930009999964792 y[1] (analytic) -4.803719345036549 y[1] (numeric) -4.803719345032612 absolute error 3.936406756110955e-12 relative error 8.19449779092164e-11% Correct digits 13 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 12.95520028720998 Order of pole (three term test) 0.8872773472342673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.940009999964413 y[1] (analytic) -4.802432582682428 y[1] (numeric) -4.802432582678423 absolute error 4.004796494427865e-12 relative error 8.339099873820532e-11% Correct digits 13 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 12.965219769241871 Order of pole (three term test) 0.8872773472342551 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.950009999964035 y[1] (analytic) -4.801141956343273 y[1] (numeric) -4.801141956339217 absolute error 4.056310842770472e-12 relative error 8.448637594252488e-11% Correct digits 13 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 12.975239251273681 Order of pole (three term test) 0.8872773472344504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.960009999963656 y[1] (analytic) -4.799847469002856 y[1] (numeric) -4.799847468998761 absolute error 4.094502514817577e-12 relative error 8.530484648230269e-11% Correct digits 13 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 12.985258733305605 Order of pole (three term test) 0.8872773472344924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.970009999963278 y[1] (analytic) -4.798549123640342 y[1] (numeric) -4.798549123636191 absolute error 4.151345933678385e-12 relative error 8.651252340476268e-11% Correct digits 13 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 12.995278215337734 Order of pole (three term test) 0.8872773472341147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.980009999962899 y[1] (analytic) -4.797246923230302 y[1] (numeric) -4.797246923226101 absolute error 4.201083925181592e-12 relative error 8.757280983053351e-11% Correct digits 13 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 13.005297697369326 Order of pole (three term test) 0.8872773472347174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 10.99000999996252 y[1] (analytic) -4.795940870742726 y[1] (numeric) -4.795940870738471 absolute error 4.2543746303636e-12 relative error 8.870782073893134e-11% Correct digits 13 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 13.015317179401517 Order of pole (three term test) 0.8872773472343766 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 100001 Total Elapsed Time 1 Minutes 42 Seconds Elapsed Time(since restart) 1 Minutes 42 Seconds Time to Timeout 28 Minutes 18.0 Seconds Percent Done 100.00199999621415%