##############ECHO OF PROBLEM################# ##############temp/sing7postode.ode################# diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; 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=100000 $glob_max_h=0.0001 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=4 $array_given_rad_poles[1][1]=6.0 $array_given_rad_poles[1][2]=0.0 $array_given_ord_poles[1][1]=6.0 $array_given_ord_poles[1][2]=0.0 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=6.0 # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=0.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=6.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=0.0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(1.0/ ( x - 6.0 ) / ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )) 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 5.254211160650322e-174 estimated_step_error 5.254211160650322e-174 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 3.5260418465046603e-166 estimated_step_error 3.5260418465046603e-166 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 2.3662871970157716e-158 estimated_step_error 2.3662871970157716e-158 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 1.587989221482499e-150 estimated_step_error 1.587989221482499e-150 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 1.06568255319317e-142 estimated_step_error 1.06568255319317e-142 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.15168832658992e-135 estimated_step_error 7.15168832658992e-135 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.799435279580277e-127 estimated_step_error 4.799435279580277e-127 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.220871307371706e-119 estimated_step_error 3.220871307371706e-119 best_h 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] 2.0 y[1] (analytic) -0.0009765625 y[1] (numeric) -0.0009765625 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.0001 Radius of convergence (given) for eq 1 4.0 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.999999999999948 Order of pole (three term test) 2.619651196613368e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000021 y[1] (analytic) -0.000988861620724373 y[1] (numeric) -0.000988861620724347 absolute error 2.5804011705155006e-17 relative error 2.609466396951753e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 3.989999999999979 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.989999999999957 Order of pole (three term test) 1.518010775637372e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000042 y[1] (analytic) -0.0010013470890108509 y[1] (numeric) -0.0010013470890107995 absolute error 5.139118297581291e-17 relative error 5.132204760946384e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 3.979999999999958 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9799999999999214 Order of pole (three term test) 1.3189998072733614e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000633 y[1] (analytic) -0.0010140222071653494 y[1] (numeric) -0.0010140222071652709 absolute error 7.849623728795052e-17 relative error 7.741076746966223e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 3.9699999999999367 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.969999999999917 Order of pole (three term test) 1.145674045899317e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000844 y[1] (analytic) -0.0010268903445443968 y[1] (numeric) -0.0010268903445442915 absolute error 1.0538445116559103e-16 relative error 1.0262483401998217e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.9599999999999156 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.959999999999911 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000001055 y[1] (analytic) -0.0010399549390906137 y[1] (numeric) -0.001039954939090481 absolute error 1.3270634591222574e-16 relative error 1.2760778464908346e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.9499999999998945 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.949999999999886 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0600000000001266 y[1] (analytic) -0.0010532194989073581 y[1] (numeric) -0.0010532194989071972 absolute error 1.6089560239684886e-16 relative error 1.5276549908520193e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.9399999999998734 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.939999999999846 Order of pole (three term test) 2.247513830434972e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700000000001477 y[1] (analytic) -0.0010666876038736464 y[1] (numeric) -0.001066687603873457 absolute error 1.8930169931596907e-16 relative error 1.7746685967712123e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.9299999999998523 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.929999999999851 Order of pole (three term test) 1.2995874616693942e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080000000000169 y[1] (analytic) -0.0010803629073004755 y[1] (numeric) -0.001080362907300257 absolute error 2.185751579730777e-16 relative error 2.0231642209860373e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.919999999999831 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.919999999999827 Order of pole (three term test) 1.1267886007797035e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.09000000000019 y[1] (analytic) -0.0010942491376297284 y[1] (numeric) -0.0010942491376294806 absolute error 2.478486166301863e-16 relative error 2.265010847228588e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.90999999999981 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.909999999999799 Order of pole (three term test) 9.766098625220766e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100000000000211 y[1] (analytic) -0.0011083501001768609 y[1] (numeric) -0.0011083501001765848 absolute error 2.7603787311480943e-16 relative error 2.4905295995440584e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.899999999999789 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.899999999999762 Order of pole (three term test) 2.538410992708329e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.110000000000232 y[1] (analytic) -0.0011226696789186242 y[1] (numeric) -0.0011226696789183171 absolute error 3.0704605524789486e-16 relative error 2.7349634626602475e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.889999999999768 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8899999999997217 Order of pole (three term test) 2.9313006019857267e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200000000002532 y[1] (analytic) -0.0011372118383270891 y[1] (numeric) -0.0011372118383267522 absolute error 3.369700352084948e-16 relative error 2.963124581117614e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.8799999999997468 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8799999999997596 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1300000000002743 y[1] (analytic) -0.001151980625251319 y[1] (numeric) -0.0011519806252509501 absolute error 3.688455790795686e-16 relative error 3.201838390286298e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.8699999999997257 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8699999999997226 Order of pole (three term test) 1.0981628008759927e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400000000002954 y[1] (analytic) -0.001166980170848035 y[1] (numeric) -0.0011669801708476342 absolute error 4.0072112295064244e-16 relative error 3.43382975101832e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.8599999999997046 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.859999999999686 Order of pole (three term test) 9.50039689193e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500000000003165 y[1] (analytic) -0.0011822146925626904 y[1] (numeric) -0.0011822146925622573 absolute error 4.3303034769071047e-16 relative error 3.662874014465421e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.8499999999996835 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.849999999999663 Order of pole (three term test) 1.6431739280298244e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600000000003376 y[1] (analytic) -0.001197688496162407 y[1] (numeric) -0.0011976884961619422 absolute error 4.649058915617843e-16 relative error 3.8816928863508335e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.8399999999996624 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8399999999996477 Order of pole (three term test) 1.4204673231470357e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1700000000003588 y[1] (analytic) -0.0012134059778222675 y[1] (numeric) -0.0012134059778217694 absolute error 4.980824780398407e-16 relative error 4.104829604793631e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.8299999999996412 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8299999999996297 Order of pole (three term test) 2.4549577419472917e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18000000000038 y[1] (analytic) -0.0012293716262665037 y[1] (numeric) -0.0012293716262659724 absolute error 5.312590645178972e-16 relative error 4.3213870661004716e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.81999999999962 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8199999999996153 Order of pole (three term test) 1.0603054800521375e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190000000000401 y[1] (analytic) -0.0012455900249661875 y[1] (numeric) -0.001245590024965622 absolute error 5.655198531684391e-16 relative error 4.5401764772786343e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.809999999999599 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.809999999999596 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.200000000000422 y[1] (analytic) -0.0012620658543950527 y[1] (numeric) -0.0012620658543944531 absolute error 5.99563801384484e-16 relative error 4.7506538529391835e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.799999999999578 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.799999999999558 Order of pole (three term test) 1.5804985042087406e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.210000000000443 y[1] (analytic) -0.0012788038943451574 y[1] (numeric) -0.0012788038943445227 absolute error 6.346919517730143e-16 relative error 4.963168743695637e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.789999999999557 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7899999999995218 Order of pole (three term test) 2.045500998739109e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2200000000004643 y[1] (analytic) -0.001295809026304128 y[1] (numeric) -0.0012958090263034566 absolute error 6.713379852030243e-16 relative error 5.180840475527453e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.7799999999995357 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.779999999999535 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2300000000004854 y[1] (analytic) -0.0013130862358957938 y[1] (numeric) -0.0013130862358950867 absolute error 7.07116656895046e-16 relative error 5.385150171897489e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.7699999999995146 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7699999999994893 Order of pole (three term test) 2.0279548690732231e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400000000005065 y[1] (analytic) -0.001330640615386083 y[1] (numeric) -0.0013306406153853394 absolute error 7.435458498905589e-16 relative error 5.587878810348957e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.7599999999994935 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7599999999994766 Order of pole (three term test) 8.738401487316965e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2500000000005276 y[1] (analytic) -0.0013484773662560926 y[1] (numeric) -0.0013484773662553104 absolute error 7.821434472310429e-16 relative error 5.800197072662651e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.7499999999994724 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.749999999999445 Order of pole (three term test) 1.5055447439543632e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2600000000005487 y[1] (analytic) -0.0013666018018443286 y[1] (numeric) -0.0013666018018435087 absolute error 8.198736828335385e-16 relative error 5.999360470087624e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.7399999999994513 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.73999999999946 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27000000000057 y[1] (analytic) -0.001385019350060165 y[1] (numeric) -0.0013850193500593061 absolute error 8.589049610430166e-16 relative error 6.201393222453577e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.72999999999943 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.729999999999415 Order of pole (three term test) 1.1159307773111606e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.280000000000591 y[1] (analytic) -0.0014037355561706318 y[1] (numeric) -0.0014037355561697332 absolute error 8.98586760555986e-16 relative error 6.401396307202736e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.719999999999409 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.719999999999397 Order of pole (three term test) 1.920336352592042e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.290000000000612 y[1] (analytic) -0.0014227560856627328 y[1] (numeric) -0.0014227560856617948 absolute error 9.380517196344584e-16 relative error 6.593201245718133e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.709999999999388 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.70999999999939 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.300000000000633 y[1] (analytic) -0.0014420867271835317 y[1] (numeric) -0.0014420867271825542 absolute error 9.775166787129308e-16 relative error 6.77848745353943e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.699999999999367 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.699999999999357 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310000000000654 y[1] (analytic) -0.001461733395560355 y[1] (numeric) -0.0014617333955593364 absolute error 1.01871636126738e-15 relative error 6.969235049027907e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.689999999999346 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6899999999993103 Order of pole (three term test) 2.4405020146962335e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200000000006753 y[1] (analytic) -0.001481702134903508 y[1] (numeric) -0.0014817021349024485 absolute error 1.059482362952835e-15 relative error 7.150440955677175e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.6799999999993247 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.679999999999313 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3300000000006964 y[1] (analytic) -0.0015019991217939967 y[1] (numeric) -0.0015019991217928939 absolute error 1.1028504498522551e-15 relative error 7.342550563777986e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.6699999999993036 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6699999999992925 Order of pole (three term test) 9.000616716918084e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400000000007175 y[1] (analytic) -0.0015226306685588188 y[1] (numeric) -0.0015226306685576718 absolute error 1.1470858984896637e-15 relative error 7.533579364819895e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.6599999999992825 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.659999999999266 Order of pole (three term test) 7.725266175076455e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500000000007386 y[1] (analytic) -0.0015436032266364851 y[1] (numeric) -0.001543603226635294 absolute error 1.1911045066925752e-15 relative error 7.716390365987991e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.6499999999992614 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6499999999992387 Order of pole (three term test) 2.6511424936807657e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600000000007597 y[1] (analytic) -0.0015649233900355039 y[1] (numeric) -0.0015649233900342661 absolute error 1.2377252001094519e-15 relative error 7.909174391478495e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.6399999999992403 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.639999999999223 Order of pole (three term test) 1.13678975231278e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370000000000781 y[1] (analytic) -0.0015865978988886683 y[1] (numeric) -0.0015865978988873842 absolute error 1.2841290530918315e-15 relative error 8.093601119674361e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.629999999999219 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6299999999991917 Order of pole (three term test) 1.9489633093781612e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.380000000000802 y[1] (analytic) -0.0016086336431060738 y[1] (numeric) -0.0016086336431047437 absolute error 1.3300992252052168e-15 relative error 8.268503092083532e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.619999999999198 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.619999999999176 Order of pole (three term test) 8.349925785306049e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390000000000823 y[1] (analytic) -0.0016310376661298797 y[1] (numeric) -0.0016310376661285023 absolute error 1.3773704399255848e-15 relative error 8.444749428710647e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.609999999999177 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6099999999991645 Order of pole (three term test) 7.151645393768154e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400000000000844 y[1] (analytic) -0.0016538171687939592 y[1] (numeric) -0.0016538171687925343 absolute error 1.42485849508045e-15 relative error 8.615574453852861e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.599999999999156 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5999999999991577 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100000000008652 y[1] (analytic) -0.001676979513291652 y[1] (numeric) -0.0016769795132901778 absolute error 1.4740812737112918e-15 relative error 8.790097088412832e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.5899999999991348 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5899999999991157 Order of pole (three term test) 1.0479046841260413e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4200000000008863 y[1] (analytic) -0.0017005322272549725 y[1] (numeric) -0.0017005322272534483 absolute error 1.5241714140801221e-15 relative error 8.962908139297455e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.5799999999991137 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5799999999990852 Order of pole (three term test) 1.7927187013247545e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300000000009074 y[1] (analytic) -0.0017244830079487206 y[1] (numeric) -0.0017244830079471453 absolute error 1.575345756621438e-15 relative error 9.135177031957641e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.5699999999990926 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.569999999999071 Order of pole (three term test) 1.5327903558706002e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400000000009285 y[1] (analytic) -0.001748839726583064 y[1] (numeric) -0.0017488397265814364 absolute error 1.6276043013352393e-15 relative error 9.306766518366448e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.5599999999990715 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.559999999999057 Order of pole (three term test) 1.309973600120392e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500000000009496 y[1] (analytic) -0.0017736104327482915 y[1] (numeric) -0.0017736104327466125 absolute error 1.6789954843110522e-15 relative error 9.46654041558253e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.5499999999990504 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.549999999999035 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600000000009707 y[1] (analytic) -0.0017988033589755468 y[1] (numeric) -0.0017988033589738139 absolute error 1.7329887525008303e-15 relative error 9.63412006017045e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.5399999999990293 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5399999999990124 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.470000000000992 y[1] (analytic) -0.0018244269254274912 y[1] (numeric) -0.0018244269254257038 absolute error 1.7874157015596026e-15 relative error 9.797135071007482e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.529999999999008 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.529999999998995 Order of pole (three term test) 8.155416746650777e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.480000000001013 y[1] (analytic) -0.0018504897447229876 y[1] (numeric) -0.001850489744721145 absolute error 1.8424931719218662e-15 relative error 9.956786721872278e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 3.519999999998987 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.519999999998995 Order of pole (three term test) 6.957477518854513e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490000000001034 y[1] (analytic) -0.0018770006269000219 y[1] (numeric) -0.0018770006268981235 absolute error 1.8984380040221183e-15 relative error 1.0114210814929249e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.509999999998966 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5099999999989677 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.500000000001055 y[1] (analytic) -0.0019039685845212253 y[1] (numeric) -0.0019039685845192707 absolute error 1.9545996765568674e-15 relative error 1.0265923988700549e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.499999999998945 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.499999999998946 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5100000000010763 y[1] (analytic) -0.0019314028379265374 y[1] (numeric) -0.0019314028379245239 absolute error 2.013580274740079e-15 relative error 1.0425480563659952e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.4899999999989237 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4899999999989033 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200000000010974 y[1] (analytic) -0.0019593128206376667 y[1] (numeric) -0.0019593128206355937 absolute error 2.0729945537922845e-15 relative error 1.0580212266041415e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.4799999999989026 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.479999999998892 Order of pole (three term test) 7.337199260262632e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5300000000011185 y[1] (analytic) -0.0019877081849191992 y[1] (numeric) -0.001987708184917067 absolute error 2.13240883284449e-15 relative error 1.0727977320932414e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.4699999999988815 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.469999999998845 Order of pole (three term test) 1.2490310551642936e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400000000011396 y[1] (analytic) -0.002016598807501369 y[1] (numeric) -0.002016598807499177 absolute error 2.1918231118966958e-15 relative error 1.0868910086347e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.4599999999988604 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4599999999988307 Order of pole (three term test) 1.0626351577974459e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5500000000011607 y[1] (analytic) -0.0020459947954696543 y[1] (numeric) -0.002045994795467402 absolute error 2.25210475268689e-15 relative error 1.1007382607588321e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.4499999999988393 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4499999999988344 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600000000011818 y[1] (analytic) -0.0020759064923265955 y[1] (numeric) -0.0020759064923242796 absolute error 2.3158558404290375e-15 relative error 1.1155877439515669e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.4399999999988182 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.439999999998842 Order of pole (three term test) 7.680605027938035e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570000000001203 y[1] (analytic) -0.0021063444842313577 y[1] (numeric) -0.002106344484228979 absolute error 2.3787395664331967e-15 relative error 1.1293212407756943e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.429999999998797 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.429999999998789 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.580000000001224 y[1] (analytic) -0.002137319606422818 y[1] (numeric) -0.0021373196064203752 absolute error 2.4429243350443386e-15 relative error 1.1429850396277438e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.419999999998776 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4199999999987423 Order of pole (three term test) 2.216381817716615e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590000000001245 y[1] (analytic) -0.0021688429498321095 y[1] (numeric) -0.002168842949829597 absolute error 2.512313274083411e-15 relative error 1.1583656964548261e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.409999999998755 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.40999999999872 Order of pole (three term test) 9.405846079016229e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600000000001266 y[1] (analytic) -0.002200925867890794 y[1] (numeric) -0.0022009258678882147 absolute error 2.579100127908518e-15 relative error 1.1718250784975955e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.399999999998734 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.399999999998711 Order of pole (three term test) 7.979432371618709e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6100000000012873 y[1] (analytic) -0.002233579983541065 y[1] (numeric) -0.002233579983538418 absolute error 2.6467543434716134e-15 relative error 1.184983015148404e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.3899999999987127 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3899999999986865 Order of pole (three term test) 1.3532116840262725e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6200000000013084 y[1] (analytic) -0.002266817196454566 y[1] (numeric) -0.0022668171964518495 absolute error 2.71657696337968e-15 relative error 1.1984102501201086e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.3799999999986916 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3799999999986814 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300000000013295 y[1] (analytic) -0.0023006496904666974 y[1] (numeric) -0.0023006496904639075 absolute error 2.7898690302397e-15 relative error 1.2126439943465543e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.3699999999986705 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.369999999998656 Order of pole (three term test) 9.715319520389555e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6400000000013506 y[1] (analytic) -0.0023350899412334972 y[1] (numeric) -0.0023350899412306323 absolute error 2.864895820575697e-15 relative error 1.2268888533956567e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.3599999999986494 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3599999999986387 Order of pole (three term test) 1.6451752564990943e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500000000013717 y[1] (analytic) -0.002370150724118451 y[1] (numeric) -0.0023701507241155133 absolute error 2.937754206566723e-15 relative error 1.239479910147649e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.3499999999986283 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.349999999998644 Order of pole (three term test) 6.961323777277246e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660000000001393 y[1] (analytic) -0.0024058451223168513 y[1] (numeric) -0.0024058451223138376 absolute error 3.013648358640708e-15 relative error 1.2526360615177657e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.339999999998607 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3399999999986028 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.670000000001414 y[1] (analytic) -0.002442186535225592 y[1] (numeric) -0.0024421865352225024 absolute error 3.0895425107146934e-15 relative error 1.2650722891768393e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.329999999998586 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3299999999985403 Order of pole (three term test) 2.986833174274741e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.680000000001435 y[1] (analytic) -0.0024791886870665896 y[1] (numeric) -0.002479188687063423 absolute error 3.1667377053956614e-15 relative error 1.2773282331901044e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.319999999998565 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3199999999985588 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.690000000001456 y[1] (analytic) -0.0025168656357723073 y[1] (numeric) -0.0025168656357690603 absolute error 3.2469686661595887e-15 relative error 1.2900842301671965e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.309999999998544 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3099999999985403 Order of pole (three term test) 1.4210530214358547e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700000000001477 y[1] (analytic) -0.0025552317821421603 y[1] (numeric) -0.0025552317821388323 absolute error 3.3280669886615044e-15 relative error 1.30245209531303e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.299999999998523 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2999999999985126 Order of pole (three term test) 1.1995635590595743e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100000000014983 y[1] (analytic) -0.002594301879278937 y[1] (numeric) -0.0025943018792755276 absolute error 3.40916531116342e-15 relative error 1.31409738334344e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.2899999999985017 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.289999999998484 Order of pole (three term test) 1.0120755102224405e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7200000000015194 y[1] (analytic) -0.0026340910423146608 y[1] (numeric) -0.0026340910423111683 absolute error 3.492432038010307e-15 relative error 1.325858515103333e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.2799999999984806 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2799999999984495 Order of pole (three term test) 1.7068991983522288e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300000000015405 y[1] (analytic) -0.0026746147584357054 y[1] (numeric) -0.0026746147584321292 absolute error 3.576132445726188e-15 relative error 1.3370645003909837e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.2699999999984595 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2699999999984457 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400000000015616 y[1] (analytic) -0.0027158888972173135 y[1] (numeric) -0.00271588889721365 absolute error 3.6637359812630166e-15 relative error 1.3490006844598328e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.2599999999984384 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.259999999998428 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500000000015827 y[1] (analytic) -0.0027579297212780565 y[1] (numeric) -0.002757929721274304 absolute error 3.752640559406828e-15 relative error 1.3606730187699675e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.2499999999984173 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.249999999998381 Order of pole (three term test) 2.0406608707601894e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.760000000001604 y[1] (analytic) -0.0028007538972651754 y[1] (numeric) -0.0028007538972613308 absolute error 3.844580903633599e-15 relative error 1.3726950116494273e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.239999999998396 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2399999999983566 Order of pole (three term test) 1.7172091495837442e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.770000000001625 y[1] (analytic) -0.00284437850718212 y[1] (numeric) -0.002844378507178181 absolute error 3.939123333074335e-15 relative error 1.3848801497859583e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.229999999998375 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2299999999983373 Order of pole (three term test) 1.444254976853565e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.780000000001646 y[1] (analytic) -0.0028888210600700724 y[1] (numeric) -0.002888821060066038 absolute error 4.034533124253059e-15 relative error 1.396601949500879e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.219999999998354 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.219999999998335 Order of pole (three term test) 1.2140356423874908e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790000000001667 y[1] (analytic) -0.0029340995040556374 y[1] (numeric) -0.0029340995040515066 absolute error 4.130810277169772e-15 relative error 1.407863050131732e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.209999999998333 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2099999999983324 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000000000016882 y[1] (analytic) -0.002980232238777393 y[1] (numeric) -0.0029802322387731625 absolute error 4.230556877038438e-15 relative error 1.4195393305234417e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.1999999999983118 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1999999999982953 Order of pole (three term test) 1.7128976116545683e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100000000017094 y[1] (analytic) -0.0030272381282044165 y[1] (numeric) -0.003027238128200085 absolute error 4.331604519514087e-15 relative error 1.4308767054553935e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.1899999999982906 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1899999999982898 Order of pole (three term test) 1.4375099820382099e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8200000000017305 y[1] (analytic) -0.003075136513860454 y[1] (numeric) -0.003075136513856022 absolute error 4.432218481120742e-15 relative error 1.441307877274248e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.1799999999982695 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.179999999998263 Order of pole (three term test) 1.2057335265085885e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300000000017516 y[1] (analytic) -0.0031239472284678906 y[1] (numeric) -0.003123947228463356 absolute error 4.534567166203374e-15 relative error 1.4515505015196137e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.1699999999982484 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1699999999982134 Order of pole (three term test) 2.021535152833346e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8400000000017727 y[1] (analytic) -0.003173690610026219 y[1] (numeric) -0.0031736906100215774 absolute error 4.6416863408449416e-15 relative error 1.4625516192980748e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.1599999999982273 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1599999999982313 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500000000017938 y[1] (analytic) -0.003224387516340288 y[1] (numeric) -0.0032243875163355386 absolute error 4.749239196355504e-15 relative error 1.4729120405930418e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.1499999999982062 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.149999999998186 Order of pole (three term test) 1.4182527220633292e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860000000001815 y[1] (analytic) -0.0032760593400141813 y[1] (numeric) -0.003276059340009323 absolute error 4.858093094473048e-15 relative error 1.4829075392914032e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.139999999998185 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.139999999998154 Order of pole (three term test) 2.3738479680511105e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.870000000001836 y[1] (analytic) -0.0033287280239272005 y[1] (numeric) -0.003328728023922233 absolute error 4.967380673459587e-15 relative error 1.492275919736789e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.129999999998164 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.129999999998161 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880000000001857 y[1] (analytic) -0.0033824160772090448 y[1] (numeric) -0.0033824160772039664 absolute error 5.078402975922103e-15 relative error 1.5014128540071506e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.119999999998143 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1199999999980963 Order of pole (three term test) 2.4896662573392405e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890000000001878 y[1] (analytic) -0.0034371465917319793 y[1] (numeric) -0.003437146591726786 absolute error 5.193328406205566e-15 relative error 1.5109417848799537e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.109999999998122 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1099999999981174 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9000000000018993 y[1] (analytic) -0.0034929432591384326 y[1] (numeric) -0.0034929432591331196 absolute error 5.313024326047966e-15 relative error 1.5210737569663452e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.0999999999981007 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.099999999998086 Order of pole (three term test) 1.157837106959362e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9100000000019204 y[1] (analytic) -0.003549830388423228 y[1] (numeric) -0.003549830388417795 absolute error 5.43315392675936e-15 relative error 1.5305390208157722e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.0899999999980796 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.089999999998076 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9200000000019415 y[1] (analytic) -0.003607832924090363 y[1] (numeric) -0.0036078329240848057 absolute error 5.5571866552917015e-15 relative error 1.5403115311091703e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.0799999999980585 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0799999999980727 Order of pole (three term test) 8.058101495985668e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300000000019626 y[1] (analytic) -0.0036669764649050825 y[1] (numeric) -0.0036669764648994013 absolute error 5.681219383824043e-15 relative error 1.5492925679224664e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.0699999999980374 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0699999999980307 Order of pole (three term test) 6.716478609397373e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9400000000019837 y[1] (analytic) -0.0037272872832627645 y[1] (numeric) -0.0037272872832569545 absolute error 5.810022601915321e-15 relative error 1.5587804642816229e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.0599999999980163 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0599999999980025 Order of pole (three term test) 1.1189804214955909e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.950000000002005 y[1] (analytic) -0.0037887923451970186 y[1] (numeric) -0.0037887923451910784 absolute error 5.940126862613582e-15 relative error 1.5678153673805243e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.049999999997995 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.04999999999799 Order of pole (three term test) 9.315659547416837e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.960000000002026 y[1] (analytic) -0.0038515193310502843 y[1] (numeric) -0.0038515193310442106 absolute error 6.073700570263796e-15 relative error 1.5769622448208086e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.039999999997974 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0399999999979777 Order of pole (three term test) 7.750742111903321e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.970000000002047 y[1] (analytic) -0.0039154966568311226 y[1] (numeric) -0.003915496656824913 absolute error 6.209442682258981e-15 relative error 1.5858633594861468e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.029999999997953 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.029999999997957 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.980000000002068 y[1] (analytic) -0.003980753496283398 y[1] (numeric) -0.003980753496277052 absolute error 6.346485836861149e-15 relative error 1.594292598822434e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.019999999997932 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0199999999979155 Order of pole (three term test) 2.1422561674556516e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.990000000002089 y[1] (analytic) -0.004047319803693526 y[1] (numeric) -0.004047319803687034 absolute error 6.4922026088432006e-15 relative error 1.604074529252299e-10% Correct digits 12 h 0.0001 Radius of convergence (given) for eq 1 3.009999999997911 Order of pole (given) 6.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.009999999997926 Order of pole (three term test) 8.895622687669772e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations 10000 Total Elapsed Time 20 Seconds Elapsed Time(since restart) 20 Seconds Time to Timeout 9 Minutes 40.0 Seconds Percent Done 100.01000000021105%