##############ECHO OF PROBLEM################# ##############temp/diff_Bpostode.ode################# diff ( y , x , 2 ) = diff ( y , x , 1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(1.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0) + exp(c(x))) end def exact_soln_yp (x) x = c(x) return(exp(c(x))) end def exact_soln_ypp (x) x = c(x) return(exp(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 1.0 y[1] (closed_form) 3.718281828459045 y[1] (numeric) 3.718281828459045 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.009999999999999 y[1] (closed_form) 3.7456010150169137 y[1] (numeric) 3.7456010150169163 absolute error 2.6645352591003757e-15 relative error 7.113772258224208e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999978 y[1] (closed_form) 3.773194763964292 y[1] (numeric) 3.773194763964298 absolute error 6.217248937900877e-15 relative error 1.6477413244814189e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999967 y[1] (closed_form) 3.80106583469907 y[1] (numeric) 3.801065834699079 absolute error 9.325873406851315e-15 relative error 2.4534890508124134e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999956 y[1] (closed_form) 3.829217014351547 y[1] (numeric) 3.8292170143515594 absolute error 1.2434497875801753e-14 relative error 3.2472690446110576e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999945 y[1] (closed_form) 3.857651118063148 y[1] (numeric) 3.857651118063164 absolute error 1.5987211554602254e-14 relative error 4.144286527038019e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999934 y[1] (closed_form) 3.886370989267939 y[1] (numeric) 3.8863709892679577 absolute error 1.865174681370263e-14 relative error 4.799270801786216e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999923 y[1] (closed_form) 3.915379499976974 y[1] (numeric) 3.9153794999769955 absolute error 2.1316282072803006e-14 relative error 5.444244184485403e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999912 y[1] (closed_form) 3.944679551065498 y[1] (numeric) 3.944679551065523 absolute error 2.4868995751603507e-14 relative error 6.304440051381648e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.08999999999999 y[1] (closed_form) 3.974274072563036 y[1] (numeric) 3.974274072563064 absolute error 2.7977620220553945e-14 relative error 7.039680633427223e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.099999999999989 y[1] (closed_form) 4.0041660239464 y[1] (numeric) 4.004166023946432 absolute error 3.197442310920451e-14 relative error 7.985289050949831e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999879 y[1] (closed_form) 4.034358394435639 y[1] (numeric) 4.034358394435674 absolute error 3.4638958368304884e-14 relative error 8.585989389559547e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999868 y[1] (closed_form) 4.0648542032929615 y[1] (numeric) 4.064854203293001 absolute error 3.907985046680551e-14 relative error 9.614084174322095e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999857 y[1] (closed_form) 4.095656500124667 y[1] (numeric) 4.09565650012471 absolute error 4.263256414560601e-14 relative error 1.040921379620296e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999846 y[1] (closed_form) 4.126768365186107 y[1] (numeric) 4.1267683651861535 absolute error 4.618527782440651e-14 relative error 1.1191633195124502e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999835 y[1] (closed_form) 4.158192909689715 y[1] (numeric) 4.158192909689767 absolute error 5.1514348342607263e-14 relative error 1.2388638396877857e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999824 y[1] (closed_form) 4.189933276116129 y[1] (numeric) 4.189933276116183 absolute error 5.417888360170764e-14 relative error 1.2930727062061693e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999813 y[1] (closed_form) 4.221992638528439 y[1] (numeric) 4.221992638528499 absolute error 5.950795411990839e-14 relative error 1.4094755537198112e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999802 y[1] (closed_form) 4.254374202889606 y[1] (numeric) 4.25437420288967 absolute error 6.394884621840902e-14 relative error 1.503131675041054e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999979 y[1] (closed_form) 4.28708120738305 y[1] (numeric) 4.287081207383117 absolute error 6.661338147750939e-14 relative error 1.5538166471582188e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.199999999999978 y[1] (closed_form) 4.320116922736474 y[1] (numeric) 4.320116922736547 absolute error 7.283063041541027e-14 relative error 1.6858485943310408e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999769 y[1] (closed_form) 4.353484652548946 y[1] (numeric) 4.353484652549023 absolute error 7.638334409421077e-14 relative error 1.7545334413775561e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999758 y[1] (closed_form) 4.387187733621253 y[1] (numeric) 4.387187733621334 absolute error 8.171241461241152e-14 relative error 1.8625237754520443e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999747 y[1] (closed_form) 4.421229536289587 y[1] (numeric) 4.4212295362896725 absolute error 8.526512829121202e-14 relative error 1.9285388282004643e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999736 y[1] (closed_form) 4.4556134647625845 y[1] (numeric) 4.455613464762674 absolute error 8.970602038971265e-14 relative error 2.0133259112164164e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999725 y[1] (closed_form) 4.4903429574617455 y[1] (numeric) 4.49034295746184 absolute error 9.414691248821327e-14 relative error 2.0966530481099748e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999714 y[1] (closed_form) 4.525421487365281 y[1] (numeric) 4.52542148736538 absolute error 9.85878045867139e-14 relative error 2.1785330904969943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999703 y[1] (closed_form) 4.560852562355414 y[1] (numeric) 4.5608525623555165 absolute error 1.021405182655144e-13 relative error 2.239504936172828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999692 y[1] (closed_form) 4.596639725569171 y[1] (numeric) 4.596639725569277 absolute error 1.0658141036401503e-13 relative error 2.3186809653832024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999968 y[1] (closed_form) 4.632786555752693 y[1] (numeric) 4.632786555752806 absolute error 1.127986593019159e-13 relative error 2.4347907667330338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.299999999999967 y[1] (closed_form) 4.669296667619123 y[1] (numeric) 4.669296667619241 absolute error 1.1812772982011666e-13 relative error 2.5298827260069996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999659 y[1] (closed_form) 4.706173712210072 y[1] (numeric) 4.706173712210194 absolute error 1.2168044349891716e-13 relative error 2.5855493430516542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999648 y[1] (closed_form) 4.743421377260731 y[1] (numeric) 4.743421377260857 absolute error 1.2612133559741778e-13 relative error 2.6588684741782598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999637 y[1] (closed_form) 4.781043387568643 y[1] (numeric) 4.781043387568775 absolute error 1.3145040611561853e-13 relative error 2.749408350014294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999626 y[1] (closed_form) 4.819043505366192 y[1] (numeric) 4.819043505366329 absolute error 1.3677947663381929e-13 relative error 2.8383117206040997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999615 y[1] (closed_form) 4.857425530696826 y[1] (numeric) 4.8574255306969665 absolute error 1.4033219031261979e-13 relative error 2.8890240195301216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999604 y[1] (closed_form) 4.89619330179506 y[1] (numeric) 4.896193301795207 absolute error 1.4654943925052066e-13 relative error 2.993130177209143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999593 y[1] (closed_form) 4.935350695470312 y[1] (numeric) 4.935350695470464 absolute error 1.5187850976872141e-13 relative error 3.077360032552828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999581 y[1] (closed_form) 4.974901627494582 y[1] (numeric) 4.974901627494737 absolute error 1.5543122344752192e-13 relative error 3.124307475518845e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999957 y[1] (closed_form) 5.01485005299403 y[1] (numeric) 5.014850052994191 absolute error 1.616484723854228e-13 relative error 3.2233959276392194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.399999999999956 y[1] (closed_form) 5.055199966844496 y[1] (numeric) 5.055199966844664 absolute error 1.6786572132332367e-13 relative error 3.3206544236489827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999548 y[1] (closed_form) 5.095955404070992 y[1] (numeric) 5.095955404071165 absolute error 1.7319479184152442e-13 relative error 3.398671654449032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999537 y[1] (closed_form) 5.137120440251201 y[1] (numeric) 5.137120440251379 absolute error 1.7763568394002505e-13 relative error 3.457884353813959e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999526 y[1] (closed_form) 5.178699191923048 y[1] (numeric) 5.178699191923232 absolute error 1.8385293287792592e-13 relative error 3.550175943114671e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999515 y[1] (closed_form) 5.220695816996348 y[1] (numeric) 5.220695816996537 absolute error 1.8918200339612667e-13 relative error 3.6236932782069232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999504 y[1] (closed_form) 5.263114515168606 y[1] (numeric) 5.263114515168803 absolute error 1.9628743075372768e-13 relative error 3.729491923233206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999493 y[1] (closed_form) 5.305959528344988 y[1] (numeric) 5.30595952834519 absolute error 2.0250467969162855e-13 relative error 3.8165515324764065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999482 y[1] (closed_form) 5.349235141062516 y[1] (numeric) 5.349235141062724 absolute error 2.0872192862952943e-13 relative error 3.901902293045789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999471 y[1] (closed_form) 5.392945680918524 y[1] (numeric) 5.39294568091874 absolute error 2.1582735598713043e-13 relative error 4.00203096335231e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999946 y[1] (closed_form) 5.437095519003425 y[1] (numeric) 5.437095519003647 absolute error 2.220446049250313e-13 relative error 4.083882730199492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.499999999999945 y[1] (closed_form) 5.481689070337818 y[1] (numeric) 5.4816890703380485 absolute error 2.3092638912203256e-13 relative error 4.212686749629916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999438 y[1] (closed_form) 5.526730794313998 y[1] (numeric) 5.526730794314236 absolute error 2.3803181647963356e-13 relative error 4.306918960563903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999427 y[1] (closed_form) 5.572225195141898 y[1] (numeric) 5.572225195142144 absolute error 2.460254222569347e-13 relative error 4.415209609106073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999416 y[1] (closed_form) 5.618176822299511 y[1] (numeric) 5.618176822299764 absolute error 2.531308496145357e-13 relative error 4.5055692909097445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999405 y[1] (closed_form) 5.664590270987849 y[1] (numeric) 5.664590270988111 absolute error 2.6201263381153694e-13 relative error 4.6254472305522025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999394 y[1] (closed_form) 5.711470182590456 y[1] (numeric) 5.711470182590726 absolute error 2.7000623958883807e-13 relative error 4.727438487061765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999383 y[1] (closed_form) 5.75882124513756 y[1] (numeric) 5.758821245137839 absolute error 2.788880237858393e-13 relative error 4.8427970224169995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5699999999999372 y[1] (closed_form) 5.806648193774876 y[1] (numeric) 5.806648193775164 absolute error 2.877698079828406e-13 relative error 4.955867798075824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999361 y[1] (closed_form) 5.854955811237123 y[1] (numeric) 5.85495581123742 absolute error 2.9665159217984183e-13 relative error 5.0666751679063624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.589999999999935 y[1] (closed_form) 5.903748928326303 y[1] (numeric) 5.903748928326608 absolute error 3.0464519795714295e-13 relative error 5.160199081221922e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.599999999999934 y[1] (closed_form) 5.953032424394787 y[1] (numeric) 5.953032424395099 absolute error 3.1175062531474396e-13 relative error 5.236837347588241e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999328 y[1] (closed_form) 6.002811227833251 y[1] (numeric) 6.002811227833572 absolute error 3.206324095117452e-13 relative error 5.3413708567923645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999317 y[1] (closed_form) 6.053090316563522 y[1] (numeric) 6.0530903165638525 absolute error 3.304023721284466e-13 relative error 5.458408099815427e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999306 y[1] (closed_form) 6.103874718536372 y[1] (numeric) 6.10387471853671 absolute error 3.383959779057477e-13 relative error 5.5439535296833646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999295 y[1] (closed_form) 6.155169512234318 y[1] (numeric) 6.155169512234666 absolute error 3.481659405224491e-13 relative error 5.656480131544993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999284 y[1] (closed_form) 6.206979827179476 y[1] (numeric) 6.2069798271798335 absolute error 3.5793590313915047e-13 relative error 5.766667737049836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999273 y[1] (closed_form) 6.259310844446516 y[1] (numeric) 6.259310844446883 absolute error 3.668176873361517e-13 relative error 5.86035262430856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999262 y[1] (closed_form) 6.312167797180775 y[1] (numeric) 6.312167797181153 absolute error 3.774758283725532e-13 relative error 5.980129814374493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.679999999999925 y[1] (closed_form) 6.365555971121573 y[1] (numeric) 6.365555971121959 absolute error 3.863576125695545e-13 relative error 6.0695030304082075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999924 y[1] (closed_form) 6.419480705130795 y[1] (numeric) 6.41948070513119 absolute error 3.9523939676655573e-13 relative error 6.156874908131729e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.699999999999923 y[1] (closed_form) 6.473947391726778 y[1] (numeric) 6.473947391727185 absolute error 4.0678571622265736e-13 relative error 6.283426348853239e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999218 y[1] (closed_form) 6.528961477623572 y[1] (numeric) 6.528961477623987 absolute error 4.156675004196586e-13 relative error 6.3665178887064645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999207 y[1] (closed_form) 6.5845284642756114 y[1] (numeric) 6.584528464276036 absolute error 4.2454928461665986e-13 relative error 6.44767938843387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999196 y[1] (closed_form) 6.6406539084278675 y[1] (numeric) 6.6406539084283045 absolute error 4.369837824924616e-13 relative error 6.580433019372858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999185 y[1] (closed_form) 6.697343422671526 y[1] (numeric) 6.697343422671975 absolute error 4.4853010194856324e-13 relative error 6.697134574736315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999174 y[1] (closed_form) 6.7546026760052555 y[1] (numeric) 6.754602676005716 absolute error 4.600764214046649e-13 relative error 6.811302506941222e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999163 y[1] (closed_form) 6.812437394402102 y[1] (numeric) 6.812437394402575 absolute error 4.725109192804666e-13 relative error 6.936003840104821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999152 y[1] (closed_form) 6.870853361382103 y[1] (numeric) 6.870853361382587 absolute error 4.840572387365683e-13 relative error 7.045081786452184e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999914 y[1] (closed_form) 6.929856418590637 y[1] (numeric) 6.929856418591132 absolute error 4.956035581926699e-13 relative error 7.151714671362029e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.789999999999913 y[1] (closed_form) 6.989452466382592 y[1] (numeric) 6.9894524663831 absolute error 5.080380560684716e-13 relative error 7.268638831324766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.799999999999912 y[1] (closed_form) 7.049647464412413 y[1] (numeric) 7.049647464412932 absolute error 5.195843755245733e-13 relative error 7.370359697382124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999108 y[1] (closed_form) 7.110447432230065 y[1] (numeric) 7.110447432230597 absolute error 5.32018873400375e-13 relative error 7.482213721022008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999097 y[1] (closed_form) 7.171858449882996 y[1] (numeric) 7.1718584498835405 absolute error 5.444533712761768e-13 relative error 7.591524220407042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999086 y[1] (closed_form) 7.233886658524147 y[1] (numeric) 7.233886658524704 absolute error 5.568878691519785e-13 relative error 7.698321738228539e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999075 y[1] (closed_form) 7.2965382610260745 y[1] (numeric) 7.296538261026643 absolute error 5.684341886080801e-13 relative error 7.790464029282623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999064 y[1] (closed_form) 7.359819522601236 y[1] (numeric) 7.359819522601817 absolute error 5.808686864838819e-13 relative error 7.892431121443875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999053 y[1] (closed_form) 7.423736771428525 y[1] (numeric) 7.42373677142912 absolute error 5.941913627793838e-13 relative error 8.003939000992427e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999042 y[1] (closed_form) 7.48829639928609 y[1] (numeric) 7.488296399286696 absolute error 6.066258606551855e-13 relative error 8.100986236509273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999903 y[1] (closed_form) 7.553504862190513 y[1] (numeric) 7.553504862191133 absolute error 6.199485369506874e-13 relative error 8.20742884609599e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.889999999999902 y[1] (closed_form) 7.619368681042428 y[1] (numeric) 7.6193686810430625 absolute error 6.341593916658894e-13 relative error 8.322991289865346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999009 y[1] (closed_form) 7.685894442278607 y[1] (numeric) 7.685894442279253 absolute error 6.45705711121991e-13 relative error 8.401178496156411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999998998 y[1] (closed_form) 7.75308879853061 y[1] (numeric) 7.75308879853127 absolute error 6.608047442568932e-13 relative error 8.523115901653687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998987 y[1] (closed_form) 7.8209584692900584 y[1] (numeric) 7.820958469290734 absolute error 6.759037773917953e-13 relative error 8.642211565830625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998976 y[1] (closed_form) 7.889510241580587 y[1] (numeric) 7.889510241581277 absolute error 6.901146321069973e-13 relative error 8.74724299703475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998965 y[1] (closed_form) 7.958750970636552 y[1] (numeric) 7.958750970637257 absolute error 7.052136652418994e-13 relative error 8.86085854229832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998954 y[1] (closed_form) 8.028687580588558 y[1] (numeric) 8.028687580589276 absolute error 7.176481631177012e-13 relative error 8.938548871334866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998943 y[1] (closed_form) 8.099327065155883 y[1] (numeric) 8.099327065156615 absolute error 7.318590178329032e-13 relative error 9.036047216582153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998932 y[1] (closed_form) 8.170676488345848 y[1] (numeric) 8.170676488346595 absolute error 7.478462293875054e-13 relative error 9.152806752955982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999892 y[1] (closed_form) 8.24274298516023 y[1] (numeric) 8.242742985160993 absolute error 7.620570841027074e-13 relative error 9.245187985051481e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.989999999999891 y[1] (closed_form) 8.31553376230877 y[1] (numeric) 8.315533762309549 absolute error 7.7982065249671e-13 relative error 9.377878495681754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998899 y[1] (closed_form) 8.389056098929837 y[1] (numeric) 8.389056098930634 absolute error 7.975842208907125e-13 relative error 9.50743696889162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998888 y[1] (closed_form) 8.463317347318364 y[1] (numeric) 8.463317347319178 absolute error 8.135714324453147e-13 relative error 9.612914168970612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998877 y[1] (closed_form) 8.538324933661075 y[1] (numeric) 8.538324933661904 absolute error 8.29558643999917e-13 relative error 9.715707125756078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998866 y[1] (closed_form) 8.614086358779112 y[1] (numeric) 8.614086358779955 absolute error 8.43769498715119e-13 relative error 9.79522915805441e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998855 y[1] (closed_form) 8.690609198878118 y[1] (numeric) 8.69060919887898 absolute error 8.615330671091215e-13 relative error 9.9133794581436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998844 y[1] (closed_form) 8.767901106305874 y[1] (numeric) 8.767901106306752 absolute error 8.775202786637237e-13 relative error 1.0008327740291359e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0599999999998833 y[1] (closed_form) 8.845969810317532 y[1] (numeric) 8.84596981031843 absolute error 8.970602038971265e-13 relative error 1.0140891537418959e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999882 y[1] (closed_form) 8.924823117848554 y[1] (numeric) 8.92482311784947 absolute error 9.166001291305292e-13 relative error 1.0270233001004145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999881 y[1] (closed_form) 9.004468914295401 y[1] (numeric) 9.004468914296337 absolute error 9.36140054363932e-13 relative error 1.0396393871466709e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.08999999999988 y[1] (closed_form) 9.084915164304089 y[1] (numeric) 9.084915164305045 absolute error 9.556799795973347e-13 relative error 1.0519415562099423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.099999999999879 y[1] (closed_form) 9.16616991256666 y[1] (numeric) 9.166169912567634 absolute error 9.734435479913373e-13 relative error 1.0619959669924546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998778 y[1] (closed_form) 9.248241284625653 y[1] (numeric) 9.248241284626648 absolute error 9.947598300641403e-13 relative error 1.0756205417324444e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998766 y[1] (closed_form) 9.331137487686664 y[1] (numeric) 9.331137487687677 absolute error 1.0125233984581428e-12 relative error 1.0851017893523324e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998755 y[1] (closed_form) 9.414866811439081 y[1] (numeric) 9.414866811440117 absolute error 1.035616037370346e-12 relative error 1.0999794878798185e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998744 y[1] (closed_form) 9.499437628885056 y[1] (numeric) 9.49943762888611 absolute error 1.0533796057643485e-12 relative error 1.1088862803428744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998733 y[1] (closed_form) 9.584858397176806 y[1] (numeric) 9.58485839717788 absolute error 1.0746958878371515e-12 relative error 1.1212433645902378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1599999999998722 y[1] (closed_form) 9.671137658462348 y[1] (numeric) 9.671137658463444 absolute error 1.0960121699099545e-12 relative error 1.1332815317243802e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999871 y[1] (closed_form) 9.758284040739706 y[1] (numeric) 9.758284040740822 absolute error 1.1155520951433573e-12 relative error 1.1431846936265192e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.17999999999987 y[1] (closed_form) 9.846306258719732 y[1] (numeric) 9.846306258720869 absolute error 1.1368683772161603e-12 relative error 1.1546140728756713e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999869 y[1] (closed_form) 9.935213114697579 y[1] (numeric) 9.935213114698739 absolute error 1.1599610161283636e-12 relative error 1.1675250472608226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.199999999999868 y[1] (closed_form) 10.025013499432928 y[1] (numeric) 10.025013499434108 absolute error 1.1795009413617663e-12 relative error 1.1765579581797926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998667 y[1] (closed_form) 10.115716393039092 y[1] (numeric) 10.115716393040293 absolute error 1.2008172234345693e-12 relative error 1.187080753134682e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998656 y[1] (closed_form) 10.207330865881014 y[1] (numeric) 10.207330865882238 absolute error 1.2239098623467726e-12 relative error 1.1990498578211167e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998645 y[1] (closed_form) 10.299866079482326 y[1] (numeric) 10.299866079483573 absolute error 1.2470025012589758e-12 relative error 1.2106977815401367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998634 y[1] (closed_form) 10.3933312874415 y[1] (numeric) 10.39333128744277 absolute error 1.270095140171179e-12 relative error 1.2220289193570344e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2499999999998623 y[1] (closed_form) 10.487735836357219 y[1] (numeric) 10.487735836358512 absolute error 1.2931877790833823e-12 relative error 1.2330476274968369e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2599999999998612 y[1] (closed_form) 10.583089166763049 y[1] (numeric) 10.583089166764367 absolute error 1.3180567748349858e-12 relative error 1.245436709514305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.26999999999986 y[1] (closed_form) 10.679400814071487 y[1] (numeric) 10.67940081407283 absolute error 1.3429257705865894e-12 relative error 1.2574916832572774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999859 y[1] (closed_form) 10.776680409527527 y[1] (numeric) 10.776680409528895 absolute error 1.3677947663381929e-12 relative error 1.2692171562672887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999858 y[1] (closed_form) 10.87493768117178 y[1] (numeric) 10.874937681173172 absolute error 1.3926637620897964e-12 relative error 1.2806176944820305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.299999999999857 y[1] (closed_form) 10.974182454813294 y[1] (numeric) 10.97418245481471 absolute error 1.4157564010019996e-12 relative error 1.2900791533505502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998557 y[1] (closed_form) 11.074424655012132 y[1] (numeric) 11.074424655013576 absolute error 1.4441781104324036e-12 relative error 1.3040660399263166e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998546 y[1] (closed_form) 11.175674306071855 y[1] (numeric) 11.175674306073327 absolute error 1.4725998198628076e-12 relative error 1.3176831925593335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998535 y[1] (closed_form) 11.277941533041941 y[1] (numeric) 11.27794153304344 absolute error 1.4992451724538114e-12 relative error 1.329360653326093e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998524 y[1] (closed_form) 11.381236562730313 y[1] (numeric) 11.381236562731836 absolute error 1.5223378113660146e-12 relative error 1.3375855979930636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3499999999998513 y[1] (closed_form) 11.485569724726016 y[1] (numeric) 11.485569724727567 absolute error 1.5507595207964187e-12 relative error 1.350180755472634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.35999999999985 y[1] (closed_form) 11.590951452432193 y[1] (numeric) 11.590951452433771 absolute error 1.5774048733874224e-12 relative error 1.3608933484545195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999849 y[1] (closed_form) 11.697392284109439 y[1] (numeric) 11.697392284111046 absolute error 1.6076029396572267e-12 relative error 1.374325918641805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999848 y[1] (closed_form) 11.804902863929616 y[1] (numeric) 11.804902863931254 absolute error 1.637801005927031e-12 relative error 1.3873904976646625e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999847 y[1] (closed_form) 11.913493943040303 y[1] (numeric) 11.913493943041969 absolute error 1.666222715357435e-12 relative error 1.3986012191921405e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.399999999999846 y[1] (closed_form) 12.023176380639901 y[1] (numeric) 12.023176380641598 absolute error 1.6964207816272392e-12 relative error 1.4109589079628487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998447 y[1] (closed_form) 12.133961145063576 y[1] (numeric) 12.133961145065298 absolute error 1.7212897773788427e-12 relative error 1.4185720201346696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998436 y[1] (closed_form) 12.245859314880088 y[1] (numeric) 12.245859314881837 absolute error 1.7497114868092467e-12 relative error 1.428818869969502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998425 y[1] (closed_form) 12.358882079999667 y[1] (numeric) 12.35888208000145 absolute error 1.7834622667578515e-12 relative error 1.4430611565135182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998414 y[1] (closed_form) 12.473040742793014 y[1] (numeric) 12.473040742794824 absolute error 1.8101076193488552e-12 relative error 1.4512159918941534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4499999999998403 y[1] (closed_form) 12.588346719221539 y[1] (numeric) 12.58834671922338 absolute error 1.8420820424580597e-12 relative error 1.463323249307494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999839 y[1] (closed_form) 12.704811539978973 y[1] (numeric) 12.704811539980845 absolute error 1.872280108727864e-12 relative error 1.4736779863567836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999838 y[1] (closed_form) 12.822446851644447 y[1] (numeric) 12.822446851646353 absolute error 1.9060308886764687e-12 relative error 1.4864798510995778e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999837 y[1] (closed_form) 12.941264417847156 y[1] (numeric) 12.941264417849096 absolute error 1.9397816686250735e-12 relative error 1.4989120119900664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999836 y[1] (closed_form) 13.061276120442738 y[1] (numeric) 13.061276120444711 absolute error 1.9735324485736783e-12 relative error 1.5109798080792595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.499999999999835 y[1] (closed_form) 13.18249396070146 y[1] (numeric) 13.182493960703468 absolute error 2.007283228522283e-12 relative error 1.5226885250288956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998337 y[1] (closed_form) 13.304930060508365 y[1] (numeric) 13.304930060510408 absolute error 2.042810365310288e-12 relative error 1.5353785070796794e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998326 y[1] (closed_form) 13.428596663575464 y[1] (numeric) 13.42859666357754 absolute error 2.0765611452588928e-12 relative error 1.546372414990676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998315 y[1] (closed_form) 13.553506136666115 y[1] (numeric) 13.55350613666823 absolute error 2.113864638886298e-12 relative error 1.559644137517811e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998304 y[1] (closed_form) 13.679670970831726 y[1] (numeric) 13.679670970833874 absolute error 2.147615418834903e-12 relative error 1.569932071768483e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5499999999998293 y[1] (closed_form) 13.807103782660846 y[1] (numeric) 13.807103782663027 absolute error 2.1813661987835076e-12 relative error 1.5798868706432828e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999828 y[1] (closed_form) 13.935817315540854 y[1] (numeric) 13.935817315543074 absolute error 2.220446049250313e-12 relative error 1.5933375122348443e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999827 y[1] (closed_form) 14.0658244409323 y[1] (numeric) 14.065824440934554 absolute error 2.254196829198918e-12 relative error 1.6026055484092954e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999826 y[1] (closed_form) 14.197138159656062 y[1] (numeric) 14.197138159658355 absolute error 2.2932766796657233e-12 relative error 1.6153091234841375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.589999999999825 y[1] (closed_form) 14.32977160319344 y[1] (numeric) 14.32977160319577 absolute error 2.3305801732931286e-12 relative error 1.6263903136974988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.599999999999824 y[1] (closed_form) 14.463738034999318 y[1] (numeric) 14.463738035001686 absolute error 2.367883666920534e-12 relative error 1.6371173628772414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998227 y[1] (closed_form) 14.599050851828515 y[1] (numeric) 14.599050851830922 absolute error 2.4069635173873394e-12 relative error 1.6487123319293525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998216 y[1] (closed_form) 14.735723585075474 y[1] (numeric) 14.73572358507792 absolute error 2.446043367854145e-12 relative error 1.6599411313140593e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998205 y[1] (closed_form) 14.873769902127416 y[1] (numeric) 14.8737699021299 absolute error 2.4851232183209504e-12 relative error 1.6708092398051014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998194 y[1] (closed_form) 15.013203607731082 y[1] (numeric) 15.013203607733608 absolute error 2.525979425627156e-12 relative error 1.6825052744414906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998183 y[1] (closed_form) 15.15403864537323 y[1] (numeric) 15.1540386453758 absolute error 2.5703883466121624e-12 relative error 1.696173810007369e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999817 y[1] (closed_form) 15.296289098674988 y[1] (numeric) 15.2962890986776 absolute error 2.611244553918368e-12 relative error 1.7071098336815314e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999816 y[1] (closed_form) 15.439969192800225 y[1] (numeric) 15.43996919280288 absolute error 2.6556534749033744e-12 relative error 1.7199862523959736e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999815 y[1] (closed_form) 15.58509329587809 y[1] (numeric) 15.58509329588079 absolute error 2.7000623958883807e-12 relative error 1.732464698560699e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.689999999999814 y[1] (closed_form) 15.731675920439828 y[1] (numeric) 15.731675920442573 absolute error 2.744471316873387e-12 relative error 1.7445511404843742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998128 y[1] (closed_form) 15.879731724870048 y[1] (numeric) 15.879731724872839 absolute error 2.7906565946977935e-12 relative error 1.7573701137074033e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998117 y[1] (closed_form) 16.029275514872573 y[1] (numeric) 16.029275514875405 absolute error 2.8315128020039992e-12 relative error 1.7664633684640416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998106 y[1] (closed_form) 16.18032224495102 y[1] (numeric) 16.1803222449539 absolute error 2.8776980798284058e-12 relative error 1.7785171619350012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998095 y[1] (closed_form) 16.332887019904277 y[1] (numeric) 16.3328870199072 absolute error 2.9238833576528123e-12 relative error 1.790181585221024e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998084 y[1] (closed_form) 16.486985096336966 y[1] (numeric) 16.486985096339936 absolute error 2.9700686354772188e-12 relative error 1.8014625585711853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998073 y[1] (closed_form) 16.642631884185157 y[1] (numeric) 16.642631884188173 absolute error 3.0162539133016253e-12 relative error 1.8123659372456912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999806 y[1] (closed_form) 16.799842948257336 y[1] (numeric) 16.799842948260398 absolute error 3.062439191126032e-12 relative error 1.822897511934004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999805 y[1] (closed_form) 16.95863400979092 y[1] (numeric) 16.95863400979403 absolute error 3.1086244689504383e-12 relative error 1.8330630091761525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999804 y[1] (closed_form) 17.119020948024385 y[1] (numeric) 17.119020948027543 absolute error 3.1583624604536453e-12 relative error 1.844943393692228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.789999999999803 y[1] (closed_form) 17.281019801785217 y[1] (numeric) 17.281019801788425 absolute error 3.2081004519568523e-12 relative error 1.856430053754952e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998018 y[1] (closed_form) 17.44464677109379 y[1] (numeric) 17.444646771097045 absolute error 3.254285729781259e-12 relative error 1.865492475991942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998007 y[1] (closed_form) 17.60991821878339 y[1] (numeric) 17.60991821878669 absolute error 3.3004710076056654e-12 relative error 1.8742114339209486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999997996 y[1] (closed_form) 17.77685067213651 y[1] (numeric) 17.77685067213986 absolute error 3.3502089991088724e-12 relative error 1.8845908428313457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997985 y[1] (closed_form) 17.9454608245376 y[1] (numeric) 17.94546082454101 absolute error 3.4070524179696804e-12 relative error 1.898559447028003e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997974 y[1] (closed_form) 18.11576553714241 y[1] (numeric) 18.115765537145865 absolute error 3.4567904094728874e-12 relative error 1.9081668960582958e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997963 y[1] (closed_form) 18.28778184056412 y[1] (numeric) 18.28778184056762 absolute error 3.502975687297294e-12 relative error 1.915473247568683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999795 y[1] (closed_form) 18.461526936576412 y[1] (numeric) 18.46152693657998 absolute error 3.566924533515703e-12 relative error 1.9320853284615522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999794 y[1] (closed_form) 18.637018199833687 y[1] (numeric) 18.637018199837307 absolute error 3.6202152386977104e-12 relative error 1.942486292539016e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999793 y[1] (closed_form) 18.81427317960851 y[1] (numeric) 18.81427317961219 absolute error 3.680611371237319e-12 relative error 1.9562867702093745e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.889999999999792 y[1] (closed_form) 18.99330960154657 y[1] (numeric) 18.993309601550312 absolute error 3.7410075037769275e-12 relative error 1.9696448814125097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997907 y[1] (closed_form) 19.17414536943926 y[1] (numeric) 19.174145369443064 absolute error 3.8049563499953365e-12 relative error 1.9844203101014724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997896 y[1] (closed_form) 19.35679856701406 y[1] (numeric) 19.356798567017925 absolute error 3.865352482534945e-12 relative error 1.9968965783018975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997885 y[1] (closed_form) 19.54128745974295 y[1] (numeric) 19.541287459746872 absolute error 3.922195901395753e-12 relative error 2.007132799963092e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997874 y[1] (closed_form) 19.727630496668937 y[1] (numeric) 19.727630496672916 absolute error 3.979039320256561e-12 relative error 2.0169879605806855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997863 y[1] (closed_form) 19.915846312251 y[1] (numeric) 19.915846312255038 absolute error 4.0394354527961696e-12 relative error 2.028251970548376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997852 y[1] (closed_form) 20.105953728227544 y[1] (numeric) 20.105953728231643 absolute error 4.099831585335778e-12 relative error 2.039113210322305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999784 y[1] (closed_form) 20.297971755498594 y[1] (numeric) 20.297971755502754 absolute error 4.1602277178753866e-12 relative error 2.0495780405982714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999783 y[1] (closed_form) 20.49191959602689 y[1] (numeric) 20.491919596031114 absolute error 4.224176564093796e-12 relative error 2.0613864622584246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999782 y[1] (closed_form) 20.687816644758108 y[1] (numeric) 20.687816644762393 absolute error 4.284572696633404e-12 relative error 2.071060842333515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.989999999999781 y[1] (closed_form) 20.88568249156037 y[1] (numeric) 20.885682491564722 absolute error 4.352074256530614e-12 relative error 2.083759656065455e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997797 y[1] (closed_form) 21.085536923183245 y[1] (numeric) 21.085536923187664 absolute error 4.419575816427823e-12 relative error 2.096022421685911e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997786 y[1] (closed_form) 21.28739992523644 y[1] (numeric) 21.287399925240926 absolute error 4.487077376325033e-12 relative error 2.107856005000195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997775 y[1] (closed_form) 21.491291684188383 y[1] (numeric) 21.491291684192937 absolute error 4.554578936222242e-12 relative error 2.1192671911726676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997764 y[1] (closed_form) 21.697232589384875 y[1] (numeric) 21.6972325893895 absolute error 4.625633209798252e-12 relative error 2.131900089443338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997753 y[1] (closed_form) 21.905243235088058 y[1] (numeric) 21.905243235092758 absolute error 4.700240197053063e-12 relative error 2.1457146796362283e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997742 y[1] (closed_form) 22.115344422535845 y[1] (numeric) 22.11534442254062 absolute error 4.774847184307873e-12 relative error 2.1590652594323772e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999773 y[1] (closed_form) 22.327557162022064 y[1] (numeric) 22.32755716202691 absolute error 4.845901457883883e-12 relative error 2.1703679550427904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999772 y[1] (closed_form) 22.541902674997505 y[1] (numeric) 22.541902675002426 absolute error 4.920508445138694e-12 relative error 2.182827472942782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999771 y[1] (closed_form) 22.758402396192093 y[1] (numeric) 22.75840239619709 absolute error 4.998668146072305e-12 relative error 2.1964055556503718e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.08999999999977 y[1] (closed_form) 22.977077975758363 y[1] (numeric) 22.977077975763432 absolute error 5.069722419648315e-12 relative error 2.2064260847254176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997687 y[1] (closed_form) 23.1979512814365 y[1] (numeric) 23.19795128144164 absolute error 5.140776693224325e-12 relative error 2.2160477151006372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997676 y[1] (closed_form) 23.421044400741135 y[1] (numeric) 23.42104440074635 absolute error 5.215383680479135e-12 relative error 2.2267938146746778e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997665 y[1] (closed_form) 23.646379643170107 y[1] (numeric) 23.646379643175404 absolute error 5.297096095091547e-12 relative error 2.240129852867998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997654 y[1] (closed_form) 23.873979542435446 y[1] (numeric) 23.873979542440818 absolute error 5.3717030823463574e-12 relative error 2.2500241624142633e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997643 y[1] (closed_form) 24.10386685871674 y[1] (numeric) 24.103866858722196 absolute error 5.4569682106375694e-12 relative error 2.263938911803337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999763 y[1] (closed_form) 24.336064580937187 y[1] (numeric) 24.336064580942725 absolute error 5.538680625249981e-12 relative error 2.2759146643572413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999762 y[1] (closed_form) 24.570595929062517 y[1] (numeric) 24.570595929068137 absolute error 5.6203930398623925e-12 relative error 2.2874467742210912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999761 y[1] (closed_form) 24.80748435642298 y[1] (numeric) 24.807484356428688 absolute error 5.709210881832405e-12 relative error 2.3014066238256908e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.17999999999976 y[1] (closed_form) 25.04675355205872 y[1] (numeric) 25.046753552064516 absolute error 5.794476010123617e-12 relative error 2.3134638978580676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.189999999999759 y[1] (closed_form) 25.288427443088697 y[1] (numeric) 25.288427443094577 absolute error 5.879741138414829e-12 relative error 2.32507187394199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997577 y[1] (closed_form) 25.532530197103405 y[1] (numeric) 25.53253019710937 absolute error 5.965006266706041e-12 relative error 2.3362378192282544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997566 y[1] (closed_form) 25.779086224581665 y[1] (numeric) 25.77908622458772 absolute error 6.0538241086760536e-12 relative error 2.3483470499832634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997555 y[1] (closed_form) 26.02812018133169 y[1] (numeric) 26.028120181337837 absolute error 6.146194664324867e-12 relative error 2.361367098932154e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997544 y[1] (closed_form) 26.279656970956683 y[1] (numeric) 26.279656970962925 absolute error 6.24211793365248e-12 relative error 2.37526613857671e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997533 y[1] (closed_form) 26.533721747345226 y[1] (numeric) 26.533721747351553 absolute error 6.327383061943692e-12 relative error 2.3846572004459814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999752 y[1] (closed_form) 26.79033991718667 y[1] (numeric) 26.790339917193094 absolute error 6.423306331271306e-12 relative error 2.3976203180425472e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999751 y[1] (closed_form) 27.04953714251186 y[1] (numeric) 27.04953714251837 absolute error 6.512124173241318e-12 relative error 2.4074808152656593e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.26999999999975 y[1] (closed_form) 27.311339343259313 y[1] (numeric) 27.31133934326592 absolute error 6.608047442568932e-12 relative error 2.4195252233940177e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999749 y[1] (closed_form) 27.575772699867287 y[1] (numeric) 27.575772699873994 absolute error 6.707523425575346e-12 relative error 2.4323972708143285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.289999999999748 y[1] (closed_form) 27.842863655891794 y[1] (numeric) 27.8428636558986 absolute error 6.80699940858176e-12 relative error 2.44479141682732e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997467 y[1] (closed_form) 28.11263892065102 y[1] (numeric) 28.112638920657925 absolute error 6.906475391588174e-12 relative error 2.45671543361047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997456 y[1] (closed_form) 28.38512547189625 y[1] (numeric) 28.385125471903255 absolute error 7.005951374594588e-12 relative error 2.468176996973676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997445 y[1] (closed_form) 28.660350558509684 y[1] (numeric) 28.66035055851679 absolute error 7.105427357601002e-12 relative error 2.4791836872669707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997434 y[1] (closed_form) 28.938341703229337 y[1] (numeric) 28.938341703236542 absolute error 7.204903340607416e-12 relative error 2.489742990284545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997423 y[1] (closed_form) 29.21912670540134 y[1] (numeric) 29.21912670540865 absolute error 7.311484750971431e-12 relative error 2.5022940708285635e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999741 y[1] (closed_form) 29.5027336437599 y[1] (numeric) 29.502733643767314 absolute error 7.414513447656645e-12 relative error 2.513161504688188e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.35999999999974 y[1] (closed_form) 29.789190879235196 y[1] (numeric) 29.789190879242717 absolute error 7.52109485802066e-12 relative error 2.5247731261016903e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999739 y[1] (closed_form) 30.078527057789483 y[1] (numeric) 30.078527057797114 absolute error 7.631228982063476e-12 relative error 2.53710195562492e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.379999999999738 y[1] (closed_form) 30.370771113281737 y[1] (numeric) 30.370771113289475 absolute error 7.737810392427491e-12 relative error 2.5477819985425375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.389999999999737 y[1] (closed_form) 30.665952270361043 y[1] (numeric) 30.66595227036889 absolute error 7.847944516470307e-12 relative error 2.5591719595987977e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997357 y[1] (closed_form) 30.964100047389092 y[1] (numeric) 30.964100047397054 absolute error 7.961631354191923e-12 relative error 2.5712458434144773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997346 y[1] (closed_form) 31.26524425939205 y[1] (numeric) 31.265244259400117 absolute error 8.068212764555938e-12 relative error 2.580569240917494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997335 y[1] (closed_form) 31.56941502104206 y[1] (numeric) 31.56941502105025 absolute error 8.189005029635155e-12 relative error 2.593967935160316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997324 y[1] (closed_form) 31.87664274966878 y[1] (numeric) 31.87664274967708 absolute error 8.30269186735677e-12 relative error 2.6046318404854733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997313 y[1] (closed_form) 32.18695816830108 y[1] (numeric) 32.18695816830951 absolute error 8.427036846114788e-12 relative error 2.6181526076651906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.44999999999973 y[1] (closed_form) 32.500392308739436 y[1] (numeric) 32.50039230874799 absolute error 8.554934538551606e-12 relative error 2.632255776263711e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999729 y[1] (closed_form) 32.816976514659075 y[1] (numeric) 32.81697651466774 absolute error 8.668621376273222e-12 relative error 2.641505189364724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999728 y[1] (closed_form) 33.136742444744414 y[1] (numeric) 33.13674244475319 absolute error 8.775202786637237e-12 relative error 2.6481790723001532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.479999999999727 y[1] (closed_form) 33.459722075854934 y[1] (numeric) 33.45972207586384 absolute error 8.903100479074055e-12 relative error 2.6608411327775713e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997258 y[1] (closed_form) 33.7859477062229 y[1] (numeric) 33.78594770623193 absolute error 9.030998171510873e-12 relative error 2.6730042472206544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997247 y[1] (closed_form) 34.115451958683195 y[1] (numeric) 34.11545195869236 absolute error 9.166001291305292e-12 relative error 2.6867594491804253e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997236 y[1] (closed_form) 34.44826778393566 y[1] (numeric) 34.448267783944964 absolute error 9.301004411099711e-12 relative error 2.6999919036384957e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997225 y[1] (closed_form) 34.78442846384018 y[1] (numeric) 34.784428463849615 absolute error 9.43600753089413e-12 relative error 2.7127102406478355e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997214 y[1] (closed_form) 35.123967614744856 y[1] (numeric) 35.12396761475442 absolute error 9.563905223330949e-12 relative error 2.7229000232069657e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997203 y[1] (closed_form) 35.46691919084775 y[1] (numeric) 35.466919190857446 absolute error 9.698908343125368e-12 relative error 2.7346351373051243e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999719 y[1] (closed_form) 35.81331748759224 y[1] (numeric) 35.813317487602085 absolute error 9.841016890277388e-12 relative error 2.747865202291542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999718 y[1] (closed_form) 36.163197145096696 y[1] (numeric) 36.16319714510667 absolute error 9.976020010071807e-12 relative error 2.7586111841951557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999717 y[1] (closed_form) 36.51659315161842 y[1] (numeric) 36.516593151628534 absolute error 1.0111023129866226e-11 relative error 2.768884569238109e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.579999999999716 y[1] (closed_form) 36.87354084705257 y[1] (numeric) 36.87354084706283 absolute error 1.0260237104375847e-11 relative error 2.7825472869378598e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997148 y[1] (closed_form) 37.23407592646613 y[1] (numeric) 37.23407592647653 absolute error 1.0395240224170266e-11 relative error 2.7918620149724965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997137 y[1] (closed_form) 37.59823444366751 y[1] (numeric) 37.59823444367805 absolute error 1.0544454198679887e-11 relative error 2.8045078059392332e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997125 y[1] (closed_form) 37.96605281481188 y[1] (numeric) 37.96605281482257 absolute error 1.0686562745831907e-11 relative error 2.8147679185819144e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997114 y[1] (closed_form) 38.33756782204288 y[1] (numeric) 38.33756782205372 absolute error 1.0842882147699129e-11 relative error 2.828265527440376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997103 y[1] (closed_form) 38.71281661717082 y[1] (numeric) 38.712816617181815 absolute error 1.099209612220875e-11 relative error 2.8393945681888917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997092 y[1] (closed_form) 39.09183672538794 y[1] (numeric) 39.09183672539908 absolute error 1.113420466936077e-11 relative error 2.848217326695661e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999708 y[1] (closed_form) 39.4746660490209 y[1] (numeric) 39.47466604903219 absolute error 1.1290524071227992e-11 relative error 2.8601949557235164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999707 y[1] (closed_form) 39.86134287132108 y[1] (numeric) 39.861342871332525 absolute error 1.1446843473095214e-11 relative error 2.8716652898642912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999706 y[1] (closed_form) 40.25190586029296 y[1] (numeric) 40.25190586030457 absolute error 1.1610268302320037e-11 relative error 2.8844021305766653e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.679999999999705 y[1] (closed_form) 40.646394072560895 y[1] (numeric) 40.64639407257267 absolute error 1.177369313154486e-11 relative error 2.8966144230474088e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997037 y[1] (closed_form) 41.044846957274856 y[1] (numeric) 41.0448469572868 absolute error 1.1944223388127284e-11 relative error 2.9100421303947072e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997026 y[1] (closed_form) 41.44730436005536 y[1] (numeric) 41.44730436006747 absolute error 1.2107648217352107e-11 relative error 2.9212148785774337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997015 y[1] (closed_form) 41.853806526978076 y[1] (numeric) 41.85380652699035 absolute error 1.227107304657693e-11 relative error 2.931889370365216e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997004 y[1] (closed_form) 42.26439410859843 y[1] (numeric) 42.26439410861088 absolute error 1.2448708730516955e-11 relative error 2.945436458530549e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999996993 y[1] (closed_form) 42.67910816401676 y[1] (numeric) 42.67910816402939 absolute error 1.262634441445698e-11 relative error 2.9584367990853176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996982 y[1] (closed_form) 43.097990164984196 y[1] (numeric) 43.09799016499699 absolute error 1.2796874671039404e-11 relative error 2.969250914497743e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999697 y[1] (closed_form) 43.5210820000499 y[1] (numeric) 43.521082000062876 absolute error 1.297451035497943e-11 relative error 2.9812012382790834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999696 y[1] (closed_form) 43.94842597874997 y[1] (numeric) 43.94842597876312 absolute error 1.3152146038919454e-11 relative error 2.9926318738420366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999695 y[1] (closed_form) 44.38006483583838 y[1] (numeric) 44.380064835851705 absolute error 1.3322676295501878e-11 relative error 3.001950615615904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.779999999999694 y[1] (closed_form) 44.81604173556055 y[1] (numeric) 44.81604173557407 absolute error 1.3514522834157106e-11 relative error 3.015554768067262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996927 y[1] (closed_form) 45.25640027596977 y[1] (numeric) 45.256400275983474 absolute error 1.3706369372812333e-11 relative error 3.028603532148388e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996916 y[1] (closed_form) 45.70118449328704 y[1] (numeric) 45.70118449330092 absolute error 1.3884005056752358e-11 relative error 3.0379967632549554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996905 y[1] (closed_form) 46.15043886630475 y[1] (numeric) 46.15043886631882 absolute error 1.4075851595407585e-11 relative error 3.0499930100739764e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996894 y[1] (closed_form) 46.60420832083457 y[1] (numeric) 46.60420832084884 absolute error 1.4267698134062812e-11 relative error 3.061461324659899e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996883 y[1] (closed_form) 47.06253823420012 y[1] (numeric) 47.06253823421458 absolute error 1.4459544672718039e-11 relative error 3.072410714603225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999687 y[1] (closed_form) 47.525474439774655 y[1] (numeric) 47.52547443978931 absolute error 1.4658496638730867e-11 relative error 3.084345145739985e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999686 y[1] (closed_form) 47.993063231564534 y[1] (numeric) 47.993063231579384 absolute error 1.4850343177386094e-11 relative error 3.094268666647471e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999685 y[1] (closed_form) 48.465351368838576 y[1] (numeric) 48.46535136885363 absolute error 1.5056400570756523e-11 relative error 3.106631881438753e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999684 y[1] (closed_form) 48.9423860808041 y[1] (numeric) 48.94238608081935 absolute error 1.524824710941175e-11 relative error 3.1155504115056475e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.879999999999683 y[1] (closed_form) 49.42421507132982 y[1] (numeric) 49.42421507134527 absolute error 1.545430450278218e-11 relative error 3.126868981222722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996817 y[1] (closed_form) 49.910886523716314 y[1] (numeric) 49.910886523731975 absolute error 1.5660361896152608e-11 relative error 3.137664543127525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996806 y[1] (closed_form) 50.40244910551439 y[1] (numeric) 50.40244910553027 absolute error 1.588063014423824e-11 relative error 3.150765573115927e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996795 y[1] (closed_form) 50.89895197339187 y[1] (numeric) 50.89895197340797 absolute error 1.610089839232387e-11 relative error 3.163306466651973e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996784 y[1] (closed_form) 51.40044477804928 y[1] (numeric) 51.400444778065584 absolute error 1.63069557856943e-11 relative error 3.172532038605673e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996773 y[1] (closed_form) 51.906977669185004 y[1] (numeric) 51.90697766920153 absolute error 1.652722403377993e-11 relative error 3.1840081576530416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999676 y[1] (closed_form) 52.41860130051027 y[1] (numeric) 52.418601300527015 absolute error 1.674749228186556e-11 relative error 3.194952147970139e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999675 y[1] (closed_form) 52.93536683481456 y[1] (numeric) 52.935366834831534 absolute error 1.6974865957308793e-11 relative error 3.2067154668596264e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999674 y[1] (closed_form) 53.45732594908195 y[1] (numeric) 53.45732594909916 absolute error 1.7209345060109627e-11 relative error 3.219267846749669e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999673 y[1] (closed_form) 53.98453083965883 y[1] (numeric) 53.98453083967627 absolute error 1.743671873555286e-11 relative error 3.229947257917682e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.979999999999672 y[1] (closed_form) 54.517034227473594 y[1] (numeric) 54.51703422749127 absolute error 1.7678303265711293e-11 relative error 3.2427118452460494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996707 y[1] (closed_form) 55.05488936330879 y[1] (numeric) 55.054889363326716 absolute error 1.7926993223227328e-11 relative error 3.2562036597561e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996696 y[1] (closed_form) 55.5981500331262 y[1] (numeric) 55.598150033144364 absolute error 1.816147232602816e-11 relative error 3.266560544767638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y[1] (closed_form) 56.14687056344578 y[1] (numeric) 56.146870563463935 absolute error 1.815436689867056e-11 relative error 3.2333711062589296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y[1] (closed_form) 56.701105826777585 y[1] (numeric) 56.70110582679573 absolute error 1.814726147131296e-11 relative error 3.200512795421136e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y[1] (closed_form) 57.26091124710981 y[1] (numeric) 57.26091124712794 absolute error 1.8133050616597757e-11 relative error 3.166741538279834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y[1] (closed_form) 57.826342805451006 y[1] (numeric) 57.82634280546912 absolute error 1.8111734334524954e-11 relative error 3.132090575995695e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y[1] (closed_form) 58.39745704542819 y[1] (numeric) 58.39745704544629 absolute error 1.8097523479809752e-11 relative error 3.0990259500052266e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y[1] (closed_form) 58.9743110789413 y[1] (numeric) 58.974311078959374 absolute error 1.807620719773695e-11 relative error 3.065098492382669e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y[1] (closed_form) 59.55696259187439 y[1] (numeric) 59.55696259189244 absolute error 1.8054890915664146e-11 relative error 3.0315331961082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y[1] (closed_form) 60.145469849864305 y[1] (numeric) 60.14546984988234 absolute error 1.8033574633591343e-11 relative error 2.998326337562401e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y[1] (closed_form) 60.73989170412726 y[1] (numeric) 60.739891704145286 absolute error 1.8026469206233742e-11 relative error 2.967813853545091e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y[1] (closed_form) 61.34028759734405 y[1] (numeric) 61.34028759736204 absolute error 1.7990942069445737e-11 relative error 2.932973217788552e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y[1] (closed_form) 61.94671756960431 y[1] (numeric) 61.94671756962228 absolute error 1.7969625787372934e-11 relative error 2.9008196870450767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y[1] (closed_form) 62.55924226441064 y[1] (numeric) 62.559242264428576 absolute error 1.793409865058493e-11 relative error 2.86673847083782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y[1] (closed_form) 63.17792293474296 y[1] (numeric) 63.17792293476085 absolute error 1.7891466086439323e-11 relative error 2.8319174254778172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y[1] (closed_form) 63.80282144918386 y[1] (numeric) 63.80282144920173 absolute error 1.787014980436652e-11 relative error 2.8008400566735607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y[1] (closed_form) 64.43400029810554 y[1] (numeric) 64.4340002981234 absolute error 1.7848833522293717e-11 relative error 2.770095514746195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y[1] (closed_form) 65.07152259991888 y[1] (numeric) 65.07152259993671 absolute error 1.7834622667578515e-11 relative error 2.7407723002321062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y[1] (closed_form) 65.71545210738533 y[1] (numeric) 65.71545210740312 absolute error 1.779199010343291e-11 relative error 2.7074286994722484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y[1] (closed_form) 66.36585321399225 y[1] (numeric) 66.36585321401002 absolute error 1.7763568394002505e-11 relative error 2.676612675606696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y[1] (closed_form) 67.0227909603923 y[1] (numeric) 67.02279096041 absolute error 1.7706724975141697e-11 relative error 2.6418960955543674e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y[1] (closed_form) 67.68633104090756 y[1] (numeric) 67.68633104092523 absolute error 1.766409241099609e-11 relative error 2.6096986111302813e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y[1] (closed_form) 68.35653981009905 y[1] (numeric) 68.35653981011669 absolute error 1.7635670701565687e-11 relative error 2.5799536884926082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y[1] (closed_form) 69.0334842894022 y[1] (numeric) 69.03348428941976 absolute error 1.7564616427989677e-11 relative error 2.544361856972956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y[1] (closed_form) 69.71723217382903 y[1] (numeric) 69.71723217384655 absolute error 1.752198386384407e-11 relative error 2.5132931009303036e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y[1] (closed_form) 70.40785183873781 y[1] (numeric) 70.40785183875528 absolute error 1.7465140444983263e-11 relative error 2.4805671510878406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y[1] (closed_form) 71.10541234667055 y[1] (numeric) 71.10541234668796 absolute error 1.7408297026122455e-11 relative error 2.448237968334851e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y[1] (closed_form) 71.80998345425932 y[1] (numeric) 71.80998345427666 absolute error 1.7337242752546445e-11 relative error 2.4143220647850054e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y[1] (closed_form) 72.52163561920204 y[1] (numeric) 72.52163561921931 absolute error 1.7266188478970435e-11 relative error 2.380832744814535e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y[1] (closed_form) 73.24044000730825 y[1] (numeric) 73.24044000732543 absolute error 1.7180923350679222e-11 relative error 2.345824704079445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y[1] (closed_form) 73.96646849961576 y[1] (numeric) 73.96646849963287 absolute error 1.7109869077103212e-11 relative error 2.3131926431220784e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y[1] (closed_form) 74.69979369957883 y[1] (numeric) 74.69979369959587 absolute error 1.7038814803527202e-11 relative error 2.2809721365566863e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y[1] (closed_form) 75.44048894032856 y[1] (numeric) 75.44048894034555 absolute error 1.6981971384666394e-11 relative error 2.2510420628501874e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y[1] (closed_form) 76.18862829200629 y[1] (numeric) 76.18862829202315 absolute error 1.686828454694478e-11 relative error 2.2140160447953097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y[1] (closed_form) 76.9442865691706 y[1] (numeric) 76.9442865691874 absolute error 1.679723027336877e-11 relative error 2.18303801650933e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y[1] (closed_form) 77.70753933827896 y[1] (numeric) 77.70753933829567 absolute error 1.6711965145077556e-11 relative error 2.150623387046975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y[1] (closed_form) 78.47846292524432 y[1] (numeric) 78.47846292526094 absolute error 1.6626700016786344e-11 relative error 2.118632220488865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y[1] (closed_form) 79.25713442306781 y[1] (numeric) 79.25713442308435 absolute error 1.6541434888495132e-11 relative error 2.0870594185500534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y[1] (closed_form) 80.0436316995481 y[1] (numeric) 80.04363169956454 absolute error 1.6441958905488718e-11 relative error 2.0541245513703426e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y[1] (closed_form) 80.83803340506827 y[1] (numeric) 80.83803340508457 absolute error 1.6299850358336698e-11 relative error 2.016359091352506e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y[1] (closed_form) 81.64041898046086 y[1] (numeric) 81.64041898047705 absolute error 1.6186163520615082e-11 relative error 1.982616419997666e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y[1] (closed_form) 82.45086866495208 y[1] (numeric) 82.45086866496816 absolute error 1.6072476682893466e-11 relative error 1.94933988484775e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y[1] (closed_form) 83.26946350418575 y[1] (numeric) 83.26946350420171 absolute error 1.595878984517185e-11 relative error 1.9165236778989984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y[1] (closed_form) 84.09628535832798 y[1] (numeric) 84.09628535834378 absolute error 1.5802470443304628e-11 relative error 1.8790925634790507e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y[1] (closed_form) 84.93141691025315 y[1] (numeric) 84.93141691026884 absolute error 1.5688783605583012e-11 relative error 1.847229703251191e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y[1] (closed_form) 85.77494167381245 y[1] (numeric) 85.77494167382801 absolute error 1.5560885913146194e-11 relative error 1.8141528993772566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y[1] (closed_form) 86.62694400218516 y[1] (numeric) 86.62694400220059 absolute error 1.5432988220709376e-11 relative error 1.7815459610718903e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y[1] (closed_form) 87.4875090963141 y[1] (numeric) 87.4875090963294 absolute error 1.5305090528272558e-11 relative error 1.74940293607209e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y[1] (closed_form) 88.35672301342585 y[1] (numeric) 88.35672301344101 absolute error 1.5162981981120538e-11 relative error 1.716109591209773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y[1] (closed_form) 89.23467267563647 y[1] (numeric) 89.2346726756515 absolute error 1.5020873433968518e-11 relative error 1.6833001101005472e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y[1] (closed_form) 90.1214458786438 y[1] (numeric) 90.12144587865868 absolute error 1.4878764886816498e-11 relative error 1.650968284158692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y[1] (closed_form) 91.0171313005071 y[1] (numeric) 91.01713130052183 absolute error 1.4722445484949276e-11 relative error 1.6175466392519944e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y[1] (closed_form) 91.921818510515 y[1] (numeric) 91.92181851052955 absolute error 1.4551915228366852e-11 relative error 1.5830752115399295e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y[1] (closed_form) 92.83559797814239 y[1] (numeric) 92.83559797815678 absolute error 1.439559582649963e-11 relative error 1.550654720820454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y[1] (closed_form) 93.75856108209751 y[1] (numeric) 93.75856108211174 absolute error 1.4225065569917206e-11 relative error 1.5172017793085962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y[1] (closed_form) 94.69080011945991 y[1] (numeric) 94.69080011947398 absolute error 1.4068746168049984e-11 relative error 1.485756393472349e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y[1] (closed_form) 95.6324083149102 y[1] (numeric) 95.63240831492409 absolute error 1.389821591146756e-11 relative error 1.453295609340068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y[1] (closed_form) 96.58347983005257 y[1] (numeric) 96.58347983006631 absolute error 1.3741896509600338e-11 relative error 1.422799896398479e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y[1] (closed_form) 97.54410977283113 y[1] (numeric) 97.54410977284469 absolute error 1.3557155398302712e-11 relative error 1.3898486981813404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y[1] (closed_form) 98.51439420704067 y[1] (numeric) 98.51439420705405 absolute error 1.3386625141720288e-11 relative error 1.3588496634904513e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y[1] (closed_form) 99.4944301619332 y[1] (numeric) 99.49443016194637 absolute error 1.3173462320992257e-11 relative error 1.3240401798926485e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y[1] (closed_form) 100.48431564192087 y[1] (numeric) 100.48431564193385 absolute error 1.297451035497943e-11 relative error 1.2911975637287036e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y[1] (closed_form) 101.48414963637663 y[1] (numeric) 101.48414963638939 absolute error 1.27613475342514e-11 relative error 1.257471987495192e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y[1] (closed_form) 102.4940321295331 y[1] (numeric) 102.49403212954562 absolute error 1.2519763004092965e-11 relative error 1.2215114132957858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y[1] (closed_form) 103.51406411048117 y[1] (numeric) 103.51406411049348 absolute error 1.2306600183364935e-11 relative error 1.188881944605134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y[1] (closed_form) 104.54434758326896 y[1] (numeric) 104.54434758328105 absolute error 1.2093437362636905e-11 relative error 1.1567758221461523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y[1] (closed_form) 105.58498557710234 y[1] (numeric) 105.58498557711418 absolute error 1.1837641977763269e-11 relative error 1.1211482307888326e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y[1] (closed_form) 106.63608215664787 y[1] (numeric) 106.63608215665947 absolute error 1.1596057447604835e-11 relative error 1.0874421877737673e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y[1] (closed_form) 107.69774243243945 y[1] (numeric) 107.69774243245081 absolute error 1.1354472917446401e-11 relative error 1.0542907085140848e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y[1] (closed_form) 108.77007257138935 y[1] (numeric) 108.77007257140046 absolute error 1.1112888387287967e-11 relative error 1.0216862161229336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y[1] (closed_form) 109.8531798074051 y[1] (numeric) 109.85317980741596 absolute error 1.0857093002414331e-11 relative error 9.883276043032178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y[1] (closed_form) 110.94717245211288 y[1] (numeric) 110.9471724521235 absolute error 1.0615508472255897e-11 relative error 9.56807482122879e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y[1] (closed_form) 112.05215990568882 y[1] (numeric) 112.05215990569916 absolute error 1.0331291377951857e-11 relative error 9.220073389613744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y[1] (closed_form) 113.16825266779911 y[1] (numeric) 113.1682526678092 absolute error 1.0089706847793423e-11 relative error 8.915669023724662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y[1] (closed_form) 114.29556234865005 y[1] (numeric) 114.29556234865986 absolute error 9.805489753489383e-12 relative error 8.579064271610538e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y[1] (closed_form) 115.43420168014914 y[1] (numeric) 115.43420168015868 absolute error 9.535483513900544e-12 relative error 8.260535764193994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y[1] (closed_form) 116.58428452717843 y[1] (numeric) 116.58428452718769 absolute error 9.265477274311706e-12 relative error 7.947449617149483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y[1] (closed_form) 117.74592589898097 y[1] (numeric) 117.74592589898994 absolute error 8.967049325292464e-12 relative error 7.61559201036447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y[1] (closed_form) 118.91924196066203 y[1] (numeric) 118.91924196067069 absolute error 8.65441052155802e-12 relative error 7.27755271465728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y[1] (closed_form) 120.10435004480551 y[1] (numeric) 120.10435004481386 absolute error 8.341771717823576e-12 relative error 6.9454367928485835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y[1] (closed_form) 121.30136866320746 y[1] (numeric) 121.30136866321547 absolute error 8.01492205937393e-12 relative error 6.6074456930715384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y[1] (closed_form) 122.5104175187272 y[1] (numeric) 122.5104175187349 absolute error 7.702283255639486e-12 relative error 6.287043511595329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y[1] (closed_form) 123.73161751725783 y[1] (numeric) 123.73161751726519 absolute error 7.361222742474638e-12 relative error 5.949346569762502e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y[1] (closed_form) 124.9650907798169 y[1] (numeric) 124.96509077982391 absolute error 7.005951374594588e-12 relative error 5.606326799649009e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y[1] (closed_form) 126.21096065475854 y[1] (numeric) 126.2109606547652 absolute error 6.66489086142974e-12 relative error 5.28075440267117e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y[1] (closed_form) 127.46935173010847 y[1] (numeric) 127.46935173011477 absolute error 6.295408638834488e-12 relative error 4.938762575778834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y[1] (closed_form) 128.7403898460229 y[1] (numeric) 128.74038984602885 absolute error 5.9401372709544376e-12 relative error 4.614043252516951e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y[1] (closed_form) 130.02420210737264 y[1] (numeric) 130.02420210737822 absolute error 5.5706550483591855e-12 relative error 4.284321655563013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y[1] (closed_form) 131.32091689645364 y[1] (numeric) 131.32091689645884 absolute error 5.201172825763933e-12 relative error 3.960658323658409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y[1] (closed_form) 132.6306638858254 y[1] (numeric) 132.63066388583022 absolute error 4.803268893738277e-12 relative error 3.6215372471279735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y[1] (closed_form) 133.95357405127837 y[1] (numeric) 133.9535740512828 absolute error 4.433786671143025e-12 relative error 3.3099427936471038e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y[1] (closed_form) 135.2897796849315 y[1] (numeric) 135.2897796849355 absolute error 4.007461029686965e-12 relative error 2.9621313886530886e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y[1] (closed_form) 136.63941440846162 y[1] (numeric) 136.63941440846526 absolute error 3.637978807091713e-12 relative error 2.6624666263692837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y[1] (closed_form) 138.00261318646582 y[1] (numeric) 138.00261318646903 absolute error 3.211653165635653e-12 relative error 2.3272408336906953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y[1] (closed_form) 139.3795123399579 y[1] (numeric) 139.37951233996068 absolute error 2.7853275241795927e-12 relative error 1.9983765744465756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9399999999999835 y[1] (closed_form) 140.77024956000065 y[1] (numeric) 140.77024956000295 absolute error 2.3021584638627246e-12 relative error 1.6354012804967525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y[1] (closed_form) 142.17496392147498 y[1] (numeric) 142.17496392147683 absolute error 1.8474111129762605e-12 relative error 1.299392707422531e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y[1] (closed_form) 143.5937958969877 y[1] (numeric) 143.5937958969891 absolute error 1.3926637620897964e-12 relative error 9.698634633831082e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y[1] (closed_form) 145.02688737091864 y[1] (numeric) 145.02688737091955 absolute error 9.094947017729282e-13 relative error 6.271214381418929e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y[1] (closed_form) 146.47438165360953 y[1] (numeric) 146.47438165360995 absolute error 4.263256414560601e-13 relative error 2.910581609173527e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.99 y[1] (closed_form) 147.9364234956948 y[1] (numeric) 147.93642349569478 absolute error 2.842170943040401e-14 relative error 1.9212110688366835e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 Finished! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; Iterations 4000 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.02500000000009%