##############ECHO OF PROBLEM################# ##############temp/div_lin_exppostode.ode################# diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) / exp ( x ) ; ! #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) # ELIMINATED in preodein.rb x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(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(neg (c(0.1) * (c(5.0) + c(2.0)*c(x)))/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) -0.2575156088200097 y[1] (numeric) -0.2575156088200097 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) -0.2556817236592096 y[1] (numeric) -0.25568172365920944 absolute error 1.6653345369377348e-16 relative error 6.513310819029868e-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) -0.25385883788184754 y[1] (numeric) -0.2538588378818472 absolute error 3.3306690738754696e-16 relative error 1.3120161983194963e-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) -0.2520469141618187 y[1] (numeric) -0.2520469141618181 absolute error 5.551115123125783e-16 relative error 2.202413444174074e-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) -0.2502459148268172 y[1] (numeric) -0.2502459148268164 absolute error 7.771561172376096e-16 relative error 3.1055696464633235e-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) -0.24845580186892133 y[1] (numeric) -0.24845580186892038 absolute error 9.43689570931383e-16 relative error 3.798219095037469e-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) -0.2466765369550021 y[1] (numeric) -0.24667653695500094 absolute error 1.1657341758564144e-15 relative error 4.725760261783891e-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) -0.24490808143695794 y[1] (numeric) -0.24490808143695658 absolute error 1.3600232051658168e-15 relative error 5.553198559990769e-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) -0.243150396361778 y[1] (numeric) -0.24315039636177643 absolute error 1.5543122344752192e-15 relative error 6.392390297248757e-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) -0.24140344248143628 y[1] (numeric) -0.24140344248143455 absolute error 1.7208456881689926e-15 relative error 7.128505171591844e-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) -0.2396671802626192 y[1] (numeric) -0.2396671802626173 absolute error 1.915134717478395e-15 relative error 7.990809235456665e-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) -0.2379415698962886 y[1] (numeric) -0.2379415698962865 absolute error 2.0816681711721685e-15 relative error 8.74865275571437e-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) -0.23622657130708286 y[1] (numeric) -0.23622657130708058 absolute error 2.275957200481571e-15 relative error 9.63463672984924e-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) -0.2345221441625581 y[1] (numeric) -0.23452214416255562 absolute error 2.4702462297909733e-15 relative error 1.0533104405180314e-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) -0.23282824788227188 y[1] (numeric) -0.2328282478822692 absolute error 2.6922908347160046e-15 relative error 1.1563420071250737e-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) -0.23114484164671162 y[1] (numeric) -0.23114484164670882 absolute error 2.8033131371785203e-15 relative error 1.2127950237640104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999824 y[1] (closed_form) -0.22947188440607003 y[1] (numeric) -0.22947188440606706 absolute error 2.9698465908722937e-15 relative error 1.2942093531671607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999813 y[1] (closed_form) -0.22780933488886912 y[1] (numeric) -0.22780933488886593 absolute error 3.191891195797325e-15 relative error 1.401123969460868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999802 y[1] (closed_form) -0.22615715161043587 y[1] (numeric) -0.22615715161043254 absolute error 3.3306690738754696e-15 relative error 1.4727233033128536e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999979 y[1] (closed_form) -0.22451529288123104 y[1] (numeric) -0.2245152928812275 absolute error 3.524958103184872e-15 relative error 1.5700302896736664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.199999999999978 y[1] (closed_form) -0.22288371681503316 y[1] (numeric) -0.22288371681502947 absolute error 3.6914915568786455e-15 relative error 1.6562410254231996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999769 y[1] (closed_form) -0.2212623813369802 y[1] (numeric) -0.22126238133697634 absolute error 3.858025010572419e-15 relative error 1.7436425420626241e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999758 y[1] (closed_form) -0.21965124419147047 y[1] (numeric) -0.21965124419146648 absolute error 3.9968028886505635e-15 relative error 1.8196131341585033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999747 y[1] (closed_form) -0.2180502629499252 y[1] (numeric) -0.218050262949921 absolute error 4.191091917959966e-15 relative error 1.922076066894009e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999736 y[1] (closed_form) -0.21645939501841407 y[1] (numeric) -0.21645939501840972 absolute error 4.3576253716537394e-15 relative error 2.0131375546360733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999725 y[1] (closed_form) -0.21487859764514694 y[1] (numeric) -0.21487859764514242 absolute error 4.524158825347513e-15 relative error 2.1054487859320276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999714 y[1] (closed_form) -0.21330782792783182 y[1] (numeric) -0.21330782792782713 absolute error 4.690692279041286e-15 relative error 2.199024913716848e-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) -0.21174704282090298 y[1] (numeric) -0.21174704282089812 absolute error 4.85722573273506e-15 relative error 2.2938812594626564e-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) -0.21019619914261956 y[1] (numeric) -0.21019619914261453 absolute error 5.023759186428833e-15 relative error 2.3900333150268707e-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) -0.2086552535820372 y[1] (numeric) -0.208655253582032 absolute error 5.218048215738236e-15 relative error 2.500798866148199e-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) -0.20712416270585465 y[1] (numeric) -0.20712416270584927 absolute error 5.384581669432009e-15 relative error 2.599687838969744e-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) -0.2056028829651366 y[1] (numeric) -0.20560288296513107 absolute error 5.523359547510154e-15 relative error 2.6864212543394793e-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) -0.204091370701915 y[1] (numeric) -0.20409137070190936 absolute error 5.6343818499726694e-15 relative error 2.760715374978763e-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) -0.2025895821556706 y[1] (numeric) -0.20258958215566478 absolute error 5.828670879282072e-15 relative error 2.8770832227707046e-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) -0.20109747346969595 y[1] (numeric) -0.20109747346968992 absolute error 6.022959908591474e-15 relative error 2.9950450419254492e-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) -0.19961500069734217 y[1] (numeric) -0.19961500069733595 absolute error 6.217248937900877e-15 relative error 3.114620101786598e-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) -0.19814211980815097 y[1] (numeric) -0.19814211980814458 absolute error 6.38378239159465e-15 relative error 3.2218199733482618e-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) -0.1966787866938734 y[1] (numeric) -0.19667878669386685 absolute error 6.5503158452884236e-15 relative error 3.3304638265253583e-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) -0.19522495717437713 y[1] (numeric) -0.1952249571743704 absolute error 6.716849298982197e-15 relative error 3.440568970381503e-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) -0.19378058700344403 y[1] (numeric) -0.19378058700343714 absolute error 6.8833827526759706e-15 relative error 3.5521529060873542e-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) -0.19234563187445936 y[1] (numeric) -0.1923456318744523 absolute error 7.049916206369744e-15 relative error 3.665233329016331e-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) -0.19092004742599422 y[1] (numeric) -0.190920047425987 absolute error 7.216449660063518e-15 relative error 3.779828130862375e-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) -0.18950378924728312 y[1] (numeric) -0.18950378924727573 absolute error 7.382983113757291e-15 relative error 3.895955401779988e-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) -0.18809681288359772 y[1] (numeric) -0.18809681288359018 absolute error 7.549516567451064e-15 relative error 4.013633432546794e-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) -0.18669907384151874 y[1] (numeric) -0.18669907384151102 absolute error 7.716050021144838e-15 relative error 4.132880716748857e-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) -0.18531052759410702 y[1] (numeric) -0.1853105275940992 absolute error 7.827072323607354e-15 relative error 4.2237602068411895e-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) -0.18393112958597596 y[1] (numeric) -0.183931129585968 absolute error 7.965850201685498e-15 relative error 4.3308874466309286e-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) -0.18256083523826583 y[1] (numeric) -0.18256083523825772 absolute error 8.104628079763643e-15 relative error 4.439412248079409e-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) -0.18119959995352214 y[1] (numeric) -0.18119959995351387 absolute error 8.271161533457416e-15 relative error 4.564668760625838e-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) -0.17984737912047938 y[1] (numeric) -0.179847379120471 absolute error 8.382183835919932e-15 relative error 4.660720593712253e-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) -0.17850412811875127 y[1] (numeric) -0.17850412811874275 absolute error 8.520961713998076e-15 relative error 4.773537622799087e-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) -0.17716980232342877 y[1] (numeric) -0.17716980232342014 absolute error 8.631984016460592e-15 relative error 4.8721531001669505e-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) -0.17584435710958823 y[1] (numeric) -0.1758443571095794 absolute error 8.826273045769994e-15 relative error 5.019366666551238e-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) -0.17452774785670935 y[1] (numeric) -0.1745277478567004 absolute error 8.965050923848139e-15 relative error 5.136748187003833e-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) -0.17321992995300595 y[1] (numeric) -0.1732199299529968 absolute error 9.159339953157541e-15 relative error 5.2876940636348506e-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) -0.17192085879966973 y[1] (numeric) -0.1719208587996604 absolute error 9.325873406851315e-15 relative error 5.4245153682708515e-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) -0.17063048981502893 y[1] (numeric) -0.17063048981501944 absolute error 9.492406860545088e-15 relative error 5.563136383676377e-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) -0.1693487784386227 y[1] (numeric) -0.16934877843861312 absolute error 9.575673587391975e-15 relative error 5.654409601107633e-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) -0.16807568013519303 y[1] (numeric) -0.16807568013518334 absolute error 9.686695889854491e-15 relative error 5.7632941791834e-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) -0.16681115039859482 y[1] (numeric) -0.1668111503985849 absolute error 9.908740494779522e-15 relative error 5.940094814466906e-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) -0.16555514475562574 y[1] (numeric) -0.1655551447556157 absolute error 1.0047518372857667e-14 relative error 6.0689858884716064e-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) -0.16430761876977715 y[1] (numeric) -0.16430761876976702 absolute error 1.0130785099704553e-14 relative error 6.16574275469204e-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) -0.16306852804490693 y[1] (numeric) -0.16306852804489663 absolute error 1.0297318553398327e-14 relative error 6.314718527760661e-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) -0.16183782822883563 y[1] (numeric) -0.16183782822882517 absolute error 1.04638520070921e-14 relative error 6.465640401634908e-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) -0.16061547501686707 y[1] (numeric) -0.1606154750168565 absolute error 1.0574874309554616e-14 relative error 6.583969762841403e-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) -0.1594014241552346 y[1] (numeric) -0.1594014241552239 absolute error 1.0685896612017132e-14 relative error 6.703764830614418e-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) -0.15819563144447382 y[1] (numeric) -0.158195631444463 absolute error 1.0824674490095276e-14 relative error 6.8425874919907025e-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) -0.15699805274272363 y[1] (numeric) -0.1569980527427127 absolute error 1.0935696792557792e-14 relative error 6.965498362249355e-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) -0.1558086439689556 y[1] (numeric) -0.1558086439689446 absolute error 1.1018963519404679e-14 relative error 7.072113098937035e-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) -0.15462736110613395 y[1] (numeric) -0.1546273611061228 absolute error 1.1157741397482823e-14 relative error 7.2158907179592316e-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) -0.15345416020430613 y[1] (numeric) -0.15345416020429484 absolute error 1.1296519275560968e-14 relative error 7.361494312386829e-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) -0.1522889973836259 y[1] (numeric) -0.15228899738361443 absolute error 1.1463052729254741e-14 relative error 7.527170659859665e-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) -0.15113182883730944 y[1] (numeric) -0.15113182883729787 absolute error 1.1574075031717257e-14 relative error 7.658264391266337e-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) -0.14998261083452583 y[1] (numeric) -0.14998261083451414 absolute error 1.1685097334179773e-14 relative error 7.79096807900738e-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) -0.14884129972322263 y[1] (numeric) -0.14884129972321078 absolute error 1.1851630787873546e-14 relative error 7.962595603446227e-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) -0.14770785193288768 y[1] (numeric) -0.14770785193287572 absolute error 1.1962653090336062e-14 relative error 8.098860645384915e-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) -0.14658222397724846 y[1] (numeric) -0.14658222397723636 absolute error 1.2101430968414206e-14 relative error 8.255728859928139e-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) -0.1454643724569091 y[1] (numeric) -0.1454643724568969 absolute error 1.2212453270876722e-14 relative error 8.395494418741205e-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) -0.14435425406192726 y[1] (numeric) -0.144354254061915 absolute error 1.226796442210798e-14 relative error 8.498512566761686e-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) -0.1432518255743305 y[1] (numeric) -0.14325182557431812 absolute error 1.2378986724570495e-14 relative error 8.641416383309745e-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) -0.14215704387057404 y[1] (numeric) -0.1421570438705616 absolute error 1.2434497875801753e-14 relative error 8.747014947161297e-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) -0.14106986592394058 y[1] (numeric) -0.141069865923928 absolute error 1.2573275753879898e-14 relative error 8.912800527264215e-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) -0.1399902488068827 y[1] (numeric) -0.13999024880686997 absolute error 1.2739809207573671e-14 relative error 9.10049758190537e-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) -0.1389181496933094 y[1] (numeric) -0.13891814969329655 absolute error 1.2850831510036187e-14 relative error 9.250649780757274e-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) -0.13785352586081698 y[1] (numeric) -0.13785352586080402 absolute error 1.2961853812498703e-14 relative error 9.402627703251902e-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) -0.1367963346928659 y[1] (numeric) -0.1367963346928528 absolute error 1.3100631690576847e-14 relative error 9.576741745303547e-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) -0.13574653368090359 y[1] (numeric) -0.13574653368089035 absolute error 1.3239409568654992e-14 relative error 9.753036935570365e-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) -0.13470408042643484 y[1] (numeric) -0.1347040804264215 absolute error 1.3322676295501878e-14 relative error 9.89032867699781e-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) -0.13366893264304028 y[1] (numeric) -0.13366893264302684 absolute error 1.3433698597964394e-14 relative error 1.0049978205361128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.889999999999902 y[1] (closed_form) -0.13264104815834366 y[1] (numeric) -0.13264104815833008 absolute error 1.3572476476042539e-14 relative error 1.0232485843929737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999009 y[1] (closed_form) -0.13162038491592892 y[1] (numeric) -0.13162038491591527 absolute error 1.3655743202889425e-14 relative error 1.0375097452884583e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999998998 y[1] (closed_form) -0.13060690097720803 y[1] (numeric) -0.13060690097719424 absolute error 1.379452108096757e-14 relative error 1.0561862334804824e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998987 y[1] (closed_form) -0.1296005545232397 y[1] (numeric) -0.12960055452322583 absolute error 1.3877787807814457e-14 relative error 1.0708123787638516e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998976 y[1] (closed_form) -0.12860130385650084 y[1] (numeric) -0.12860130385648683 absolute error 1.4016565685892601e-14 relative error 1.0899240727398006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998965 y[1] (closed_form) -0.12760910740261044 y[1] (numeric) -0.1276091074025963 absolute error 1.4155343563970746e-14 relative error 1.1092737698815042e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998954 y[1] (closed_form) -0.12662392371200734 y[1] (numeric) -0.1266239237119931 absolute error 1.4238610290817633e-14 relative error 1.1244802619765471e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998943 y[1] (closed_form) -0.12564571146158246 y[1] (numeric) -0.1256457114615681 absolute error 1.4349632593280148e-14 relative error 1.1420710206784657e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998932 y[1] (closed_form) -0.12467442945626588 y[1] (numeric) -0.12467442945625141 absolute error 1.4460654895742664e-14 relative error 1.1598733564540008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999892 y[1] (closed_form) -0.12371003663057034 y[1] (numeric) -0.12371003663055578 absolute error 1.4557799410397365e-14 relative error 1.1767678522212923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.989999999999891 y[1] (closed_form) -0.12275249205009083 y[1] (numeric) -0.12275249205007618 absolute error 1.4641066137244252e-14 relative error 1.192730664178269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998899 y[1] (closed_form) -0.12180175491296186 y[1] (numeric) -0.12180175491294712 absolute error 1.4738210651898953e-14 relative error 1.2100162811636589e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998888 y[1] (closed_form) -0.12085778455127255 y[1] (numeric) -0.12085778455125772 absolute error 1.4835355166553654e-14 relative error 1.2275051393367154e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998877 y[1] (closed_form) -0.11992054043244055 y[1] (numeric) -0.11992054043242562 absolute error 1.4932499681208355e-14 relative error 1.2451994985480286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998866 y[1] (closed_form) -0.11898998216054525 y[1] (numeric) -0.11898998216053024 absolute error 1.5015766408055242e-14 relative error 1.261935344085981e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998855 y[1] (closed_form) -0.11806606947762129 y[1] (numeric) -0.11806606947760616 absolute error 1.5126788710517758e-14 relative error 1.2812138811299169e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998844 y[1] (closed_form) -0.11714876226491241 y[1] (numeric) -0.11714876226489719 absolute error 1.522393322517246e-14 relative error 1.2995385466169987e-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) -0.11623802054408713 y[1] (numeric) -0.11623802054407181 absolute error 1.532107773982716e-14 relative error 1.3180779978970936e-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) -0.11533380447841604 y[1] (numeric) -0.11533380447840065 absolute error 1.5390466678866233e-14 relative error 1.3344280758332615e-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) -0.11443607437391214 y[1] (numeric) -0.11443607437389666 absolute error 1.547373340571312e-14 relative error 1.352172685962098e-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) -0.1135447906804342 y[1] (numeric) -0.11354479068041859 absolute error 1.5612511283791264e-14 relative error 1.375009033019564e-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) -0.11265991399275405 y[1] (numeric) -0.11265991399273836 absolute error 1.5681900222830336e-14 relative error 1.3919680627342703e-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) -0.1117814050515886 y[1] (numeric) -0.11178140505157283 absolute error 1.5765166949677223e-14 relative error 1.4103568426610302e-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) -0.11090922474459675 y[1] (numeric) -0.11090922474458088 absolute error 1.5862311464331924e-14 relative error 1.4302066848686273e-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) -0.11004333410734209 y[1] (numeric) -0.11004333410732611 absolute error 1.597333376679444e-14 relative error 1.4515494188147013e-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) -0.10918369432422186 y[1] (numeric) -0.10918369432420577 absolute error 1.6084356069256955e-14 relative error 1.4731463492611205e-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) -0.10833026672936295 y[1] (numeric) -0.10833026672934679 absolute error 1.6167622796103842e-14 relative error 1.492438197027129e-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) -0.10748301280748505 y[1] (numeric) -0.10748301280746882 absolute error 1.6237011735142914e-14 relative error 1.5106584111319384e-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) -0.10664189419473208 y[1] (numeric) -0.10664189419471574 absolute error 1.6334156249797616e-14 relative error 1.531682869395665e-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) -0.10580687267947189 y[1] (numeric) -0.10580687267945549 absolute error 1.6403545188836688e-14 relative error 1.5503288939017305e-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) -0.10497791020306531 y[1] (numeric) -0.10497791020304884 absolute error 1.647293412787576e-14 relative error 1.5691809920783466e-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) -0.1041549688606047 y[1] (numeric) -0.10415496886058814 absolute error 1.6556200854722647e-14 relative error 1.5895737895021177e-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) -0.10333801090162259 y[1] (numeric) -0.10333801090160595 absolute error 1.6639467581569534e-14 relative error 1.6101981677787707e-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) -0.1025269987307712 y[1] (numeric) -0.10252699873075444 absolute error 1.6764367671839864e-14 relative error 1.6351173719482352e-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) -0.10172189490847289 y[1] (numeric) -0.10172189490845605 absolute error 1.6833756610878936e-14 relative error 1.6548803604204954e-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) -0.10092266215154255 y[1] (numeric) -0.10092266215152564 absolute error 1.6917023337725823e-14 relative error 1.6762363355342043e-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) -0.10012926333378201 y[1] (numeric) -0.10012926333376498 absolute error 1.702804564018834e-14 relative error 1.7006063036162724e-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) -0.09934166148654719 y[1] (numeric) -0.09934166148653009 absolute error 1.709743457922741e-14 relative error 1.7210739505844424e-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) -0.09855981979928849 y[1] (numeric) -0.09855981979927131 absolute error 1.7180701306074297e-14 relative error 1.7431749917016718e-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) -0.09778370162006472 y[1] (numeric) -0.09778370162004746 absolute error 1.7263968032921184e-14 relative error 1.7655261303156377e-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) -0.09701327045603123 y[1] (numeric) -0.09701327045601388 absolute error 1.734723475976807e-14 relative error 1.7881300855258003e-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) -0.09624848997390249 y[1] (numeric) -0.09624848997388509 absolute error 1.740274591099933e-14 relative error 1.8081058638652965e-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) -0.09548932400039005 y[1] (numeric) -0.09548932400037255 absolute error 1.749989042565403e-14 relative error 1.8326541326842515e-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) -0.09473573652261544 y[1] (numeric) -0.09473573652259785 absolute error 1.7583157152500917e-14 relative error 1.8560215814972254e-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) -0.09398769168849959 y[1] (numeric) -0.09398769168848192 absolute error 1.7666423879347803e-14 relative error 1.8796529164583666e-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) -0.09324515380712817 y[1] (numeric) -0.09324515380711045 absolute error 1.772193503057906e-14 relative error 1.9005743791506622e-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) -0.09250808734909405 y[1] (numeric) -0.09250808734907624 absolute error 1.7805201757425948e-14 relative error 1.9247183968073162e-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) -0.0917764569468168 y[1] (numeric) -0.0917764569467989 absolute error 1.790234627208065e-14 relative error 1.950646916175334e-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) -0.09105022739483987 y[1] (numeric) -0.09105022739482188 absolute error 1.7985612998927536e-14 relative error 1.9753506952742485e-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) -0.09032936365010596 y[1] (numeric) -0.09032936365008788 absolute error 1.8082757513582237e-14 relative error 2.0018692463755692e-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) -0.08961383083221067 y[1] (numeric) -0.08961383083219253 absolute error 1.8138268664813495e-14 relative error 2.024047906039734e-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) -0.08890359422363518 y[1] (numeric) -0.08890359422361696 absolute error 1.8221535391660382e-14 relative error 2.0495836586566433e-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) -0.08819861926995809 y[1] (numeric) -0.08819861926993983 absolute error 1.8263168755083825e-14 relative error 2.0706864694994793e-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) -0.08749887158004706 y[1] (numeric) -0.08749887158002873 absolute error 1.8332557694122897e-14 relative error 2.0951764706304386e-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) -0.08680431692623025 y[1] (numeric) -0.08680431692621184 absolute error 1.8415824420969784e-14 relative error 2.1215332454744483e-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) -0.08611492124444842 y[1] (numeric) -0.08611492124442995 absolute error 1.8471335572201042e-14 relative error 2.1449634169399923e-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) -0.08543065063438769 y[1] (numeric) -0.08543065063436914 absolute error 1.855460229904793e-14 relative error 2.171890552309489e-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) -0.08475147135959354 y[1] (numeric) -0.08475147135957492 absolute error 1.8623991238087e-14 relative error 2.1974829391535792e-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) -0.0840773498475662 y[1] (numeric) -0.0840773498475475 absolute error 1.8693380177126073e-14 relative error 2.2233550666163384e-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) -0.08340825268983805 y[1] (numeric) -0.08340825268981927 absolute error 1.877664690397296e-14 relative error 2.251173750611442e-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) -0.08274414664203321 y[1] (numeric) -0.08274414664201436 absolute error 1.8846035843012032e-14 relative error 2.2776276761356352e-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) -0.08208499862390965 y[1] (numeric) -0.08208499862389074 absolute error 1.8915424782051105e-14 relative error 2.3043704817144793e-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) -0.08143077571938431 y[1] (numeric) -0.08143077571936534 absolute error 1.8970935933282362e-14 relative error 2.3297009964214793e-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) -0.08078144517654139 y[1] (numeric) -0.08078144517652235 absolute error 1.9040324872321435e-14 relative error 2.3570171133619022e-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) -0.08013697440762424 y[1] (numeric) -0.08013697440760512 absolute error 1.912359159916832e-14 relative error 2.3863630665533214e-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) -0.07949733098901114 y[1] (numeric) -0.07949733098899198 absolute error 1.9165224962591765e-14 relative error 2.4108010576155016e-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) -0.07886248266117547 y[1] (numeric) -0.07886248266115622 absolute error 1.924849168943865e-14 relative error 2.4407666408547916e-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) -0.07823239732863012 y[1] (numeric) -0.07823239732861081 absolute error 1.930400284066991e-14 relative error 2.46752029847427e-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) -0.07760704305985702 y[1] (numeric) -0.07760704305983766 absolute error 1.9359513991901167e-14 relative error 2.4945563222875912e-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) -0.07698638808722176 y[1] (numeric) -0.0769863880872023 absolute error 1.9456658506555868e-14 relative error 2.5272855357900983e-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) -0.07637040080687359 y[1] (numeric) -0.07637040080685406 absolute error 1.952604744559494e-14 relative error 2.556755921050179e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.599999999999824 y[1] (closed_form) -0.07575904977863128 y[1] (numeric) -0.07575904977861168 absolute error 1.9595436384634013e-14 relative error 2.586547276119761e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998227 y[1] (closed_form) -0.07515230372585506 y[1] (numeric) -0.07515230372583538 absolute error 1.96787031114809e-14 relative error 2.6185096312238168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998216 y[1] (closed_form) -0.07455013153530475 y[1] (numeric) -0.07455013153528502 absolute error 1.9734214262712158e-14 relative error 2.647106565246852e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998205 y[1] (closed_form) -0.0739525022569847 y[1] (numeric) -0.07395250225696492 absolute error 1.97758476261356e-14 relative error 2.674128261057969e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998194 y[1] (closed_form) -0.07335938510397554 y[1] (numeric) -0.0733593851039557 absolute error 1.983135877736686e-14 relative error 2.7033158401285652e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998183 y[1] (closed_form) -0.07277074945225313 y[1] (numeric) -0.07277074945223322 absolute error 1.9914625504213745e-14 relative error 2.7366250387843365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999817 y[1] (closed_form) -0.07218656484049497 y[1] (numeric) -0.072186564840475 absolute error 1.9970136655445003e-14 relative error 2.7664616954098673e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999816 y[1] (closed_form) -0.07160680096987437 y[1] (numeric) -0.07160680096985433 absolute error 2.0039525594484076e-14 relative error 2.7985506017668467e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999815 y[1] (closed_form) -0.07103142770384253 y[1] (numeric) -0.07103142770382244 absolute error 2.0095036745715333e-14 relative error 2.8290346112004542e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.689999999999814 y[1] (closed_form) -0.07046041506789896 y[1] (numeric) -0.0704604150678788 absolute error 2.0164425684754406e-14 relative error 2.8618090973950435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998128 y[1] (closed_form) -0.06989373324935032 y[1] (numeric) -0.06989373324933011 absolute error 2.020605904817785e-14 relative error 2.890968633209426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998117 y[1] (closed_form) -0.06933135259705811 y[1] (numeric) -0.06933135259703781 absolute error 2.030320356283255e-14 relative error 2.928430328026524e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998106 y[1] (closed_form) -0.06877324362117522 y[1] (numeric) -0.06877324362115485 absolute error 2.0372592501871623e-14 relative error 2.9622846661254345e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998095 y[1] (closed_form) -0.0682193769928719 y[1] (numeric) -0.06821937699285145 absolute error 2.0441981440910695e-14 relative error 2.996506614689055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998084 y[1] (closed_form) -0.06766972354405107 y[1] (numeric) -0.06766972354403054 absolute error 2.052524816775758e-14 relative error 3.033150882373005e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998073 y[1] (closed_form) -0.06712425426705342 y[1] (numeric) -0.06712425426703283 absolute error 2.058075931898884e-14 relative error 3.0660689707044523e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999806 y[1] (closed_form) -0.0665829403143525 y[1] (numeric) -0.06658294031433186 absolute error 2.0636270470220097e-14 relative error 3.099333008243822e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999805 y[1] (closed_form) -0.06604575299823985 y[1] (numeric) -0.06604575299821916 absolute error 2.0691781621451355e-14 relative error 3.13294658356046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999804 y[1] (closed_form) -0.06551266379050079 y[1] (numeric) -0.06551266379048 absolute error 2.0788926136106056e-14 relative error 3.173268332148083e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.789999999999803 y[1] (closed_form) -0.06498364432208052 y[1] (numeric) -0.06498364432205969 absolute error 2.08305594995295e-14 relative error 3.2055080500389186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998018 y[1] (closed_form) -0.0644586663827414 y[1] (numeric) -0.06445866638272053 absolute error 2.0872192862952943e-14 relative error 3.238073952541687e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998007 y[1] (closed_form) -0.06393770192071105 y[1] (numeric) -0.06393770192069012 absolute error 2.09277040141842e-14 relative error 3.273139851059487e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999997996 y[1] (closed_form) -0.0634207230423218 y[1] (numeric) -0.0634207230423008 absolute error 2.0997092953223273e-14 relative error 3.3107621524925746e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997985 y[1] (closed_form) -0.0629077020116417 y[1] (numeric) -0.06290770201162064 absolute error 2.105260410445453e-14 relative error 3.346586098560481e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997974 y[1] (closed_form) -0.06239861125009715 y[1] (numeric) -0.062398611250076 absolute error 2.1149748619109232e-14 relative error 3.389458225975551e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997963 y[1] (closed_form) -0.0618934233360874 y[1] (numeric) -0.0618934233360662 absolute error 2.1198320876436583e-14 relative error 3.4249714644684634e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999795 y[1] (closed_form) -0.06139211100459123 y[1] (numeric) -0.06139211100456996 absolute error 2.1267709815475655e-14 relative error 3.464241490879039e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999794 y[1] (closed_form) -0.06089464714676579 y[1] (numeric) -0.06089464714674446 absolute error 2.133015986061082e-14 relative error 3.5027971849810936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999793 y[1] (closed_form) -0.06040100480953806 y[1] (numeric) -0.060401004809516684 absolute error 2.137873211793817e-14 relative error 3.539466302812599e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.889999999999792 y[1] (closed_form) -0.0599111571951889 y[1] (numeric) -0.059911157195167465 absolute error 2.143424326916943e-14 relative error 3.577671384202654e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997907 y[1] (closed_form) -0.059425077660929936 y[1] (numeric) -0.05942507766090843 absolute error 2.15036322082085e-14 relative error 3.618612386323635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997896 y[1] (closed_form) -0.058942739718473545 y[1] (numeric) -0.05894273971845198 absolute error 2.1566082253343666e-14 relative error 3.6588191109454874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997885 y[1] (closed_form) -0.058464117033596 y[1] (numeric) -0.05846411703357438 absolute error 2.1614654510671016e-14 relative error 3.697080467023953e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997874 y[1] (closed_form) -0.05798918342569409 y[1] (numeric) -0.05798918342567242 absolute error 2.1670165661902274e-14 relative error 3.736932369408148e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997863 y[1] (closed_form) -0.05751791286733522 y[1] (numeric) -0.0575179128673135 absolute error 2.1718737919229625e-14 relative error 3.775995483237332e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997852 y[1] (closed_form) -0.057050279483801314 y[1] (numeric) -0.05705027948377954 absolute error 2.1774249070460883e-14 relative error 3.816677020249024e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999784 y[1] (closed_form) -0.056586257552626584 y[1] (numeric) -0.05658625755260477 absolute error 2.1815882433884326e-14 relative error 3.855332262183098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999783 y[1] (closed_form) -0.05612582150312946 y[1] (numeric) -0.0561258215031076 absolute error 2.1864454691211677e-14 relative error 3.895614194260401e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999782 y[1] (closed_form) -0.055668945915938677 y[1] (numeric) -0.05566894591591675 absolute error 2.1926904736346842e-14 relative error 3.938803649966167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.989999999999781 y[1] (closed_form) -0.05521560552251377 y[1] (numeric) -0.05521560552249179 absolute error 2.19824158875781e-14 relative error 3.9811961997980675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997797 y[1] (closed_form) -0.0547657752046602 y[1] (numeric) -0.05476577520463817 absolute error 2.203098814490545e-14 relative error 4.0227656894429864e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997786 y[1] (closed_form) -0.054319429994039145 y[1] (numeric) -0.054319429994017045 absolute error 2.2100377083944522e-14 relative error 4.068595176048378e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997775 y[1] (closed_form) -0.05387654507167212 y[1] (numeric) -0.053876545071649976 absolute error 2.2142010447367966e-14 relative error 4.109768066588603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997764 y[1] (closed_form) -0.05343709576744075 y[1] (numeric) -0.053437095767418556 absolute error 2.2190582704695316e-14 relative error 4.152655077152612e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997753 y[1] (closed_form) -0.05300105755958155 y[1] (numeric) -0.05300105755955932 absolute error 2.223221606811876e-14 relative error 4.194674048367099e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997742 y[1] (closed_form) -0.05256840607417615 y[1] (numeric) -0.05256840607415387 absolute error 2.228078832544611e-14 relative error 4.2384371125894546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999773 y[1] (closed_form) -0.05213911708463689 y[1] (numeric) -0.052139117084614585 absolute error 2.230854390106174e-14 relative error 4.278657781037701e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999772 y[1] (closed_form) -0.051713166511188104 y[1] (numeric) -0.05171316651116574 absolute error 2.2364055052292997e-14 relative error 4.3246346261651855e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999771 y[1] (closed_form) -0.051290530420342983 y[1] (numeric) -0.05129053042032057 absolute error 2.2412627309620348e-14 relative error 4.3697398186256606e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.08999999999977 y[1] (closed_form) -0.05087118502437652 y[1] (numeric) -0.05087118502435407 absolute error 2.245426067304379e-14 relative error 4.413944881033168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997687 y[1] (closed_form) -0.05045510668079433 y[1] (numeric) -0.05045510668077182 absolute error 2.250977182427505e-14 relative error 4.461346592067234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997676 y[1] (closed_form) -0.05004227189179757 y[1] (numeric) -0.05004227189177503 absolute error 2.2544466293794585e-14 relative error 4.505084489877017e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997665 y[1] (closed_form) -0.04963265730374431 y[1] (numeric) -0.049632657303721725 absolute error 2.2586099657218028e-14 relative error 4.55065291366419e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997654 y[1] (closed_form) -0.04922623970660705 y[1] (numeric) -0.04922623970658442 absolute error 2.2627733020641472e-14 relative error 4.5966811918815776e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997643 y[1] (closed_form) -0.048822996033427 y[1] (numeric) -0.04882299603340433 absolute error 2.2669366384064915e-14 relative error 4.6431739601855196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999763 y[1] (closed_form) -0.04842290335976484 y[1] (numeric) -0.04842290335974213 absolute error 2.271099974748836e-14 relative error 4.690135900929723e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999762 y[1] (closed_form) -0.048025938903148296 y[1] (numeric) -0.04802593890312554 absolute error 2.275957200481571e-14 relative error 4.73901656575916e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999761 y[1] (closed_form) -0.04763208002251663 y[1] (numeric) -0.047632080022493826 absolute error 2.2801205368239152e-14 relative error 4.786943034497039e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.17999999999976 y[1] (closed_form) -0.04724130421766207 y[1] (numeric) -0.04724130421763921 absolute error 2.285671651947041e-14 relative error 4.838290749586246e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.189999999999759 y[1] (closed_form) -0.046853589128668396 y[1] (numeric) -0.0468535891286455 absolute error 2.2898349882893854e-14 relative error 4.887213617725391e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997577 y[1] (closed_form) -0.04646891253534677 y[1] (numeric) -0.04646891253532383 absolute error 2.2939983246317297e-14 relative error 4.9366301027311336e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997566 y[1] (closed_form) -0.04608725235666882 y[1] (numeric) -0.04608725235664584 absolute error 2.298161660974074e-14 relative error 4.986545179974328e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997555 y[1] (closed_form) -0.04570858665019729 y[1] (numeric) -0.04570858665017428 absolute error 2.300937218535637e-14 relative error 5.0339277303506506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997544 y[1] (closed_form) -0.04533289361151413 y[1] (numeric) -0.04533289361149107 absolute error 2.305794444268372e-14 relative error 5.086360610527455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997533 y[1] (closed_form) -0.044960151573646315 y[1] (numeric) -0.04496015157362322 absolute error 2.3092638912203256e-14 relative error 5.136245787422824e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999752 y[1] (closed_form) -0.04459033900648944 y[1] (numeric) -0.0445903390064663 absolute error 2.3141211169530607e-14 relative error 5.189736540501017e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999751 y[1] (closed_form) -0.04422343451622907 y[1] (numeric) -0.04422343451620589 absolute error 2.318284453295405e-14 relative error 5.242208070575439e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.26999999999975 y[1] (closed_form) -0.043859416844760225 y[1] (numeric) -0.043859416844737 absolute error 2.3224477896377493e-14 relative error 5.2952090034804154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999749 y[1] (closed_form) -0.04349826486910473 y[1] (numeric) -0.043498264869081475 absolute error 2.3252233471993122e-14 relative error 5.345554251868184e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.289999999999748 y[1] (closed_form) -0.04313995760082691 y[1] (numeric) -0.04313995760080361 absolute error 2.3300805729320473e-14 relative error 5.4012120143747756e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997467 y[1] (closed_form) -0.042784474185447376 y[1] (numeric) -0.04278447418542404 absolute error 2.333550019884001e-14 relative error 5.454198197620318e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997456 y[1] (closed_form) -0.04243179390185529 y[1] (numeric) -0.04243179390183191 absolute error 2.3377133562263452e-14 relative error 5.509343681375986e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997445 y[1] (closed_form) -0.04208189616171894 y[1] (numeric) -0.04208189616169552 absolute error 2.3418766925686896e-14 relative error 5.565045556808935e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997434 y[1] (closed_form) -0.04173476050889495 y[1] (numeric) -0.0417347605088715 absolute error 2.3446522501302525e-14 relative error 5.617984197203038e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997423 y[1] (closed_form) -0.04139036661883604 y[1] (numeric) -0.04139036661881255 absolute error 2.3495094758629875e-14 relative error 5.676464520113156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999741 y[1] (closed_form) -0.04104869429799749 y[1] (numeric) -0.04104869429797395 absolute error 2.3543667015957226e-14 relative error 5.735545897036188e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.35999999999974 y[1] (closed_form) -0.040709723483242366 y[1] (numeric) -0.04070972348321879 absolute error 2.3578361485476762e-14 relative error 5.791825507039489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999739 y[1] (closed_form) -0.04037343424124571 y[1] (numeric) -0.040373434241222084 absolute error 2.3626933742804113e-14 relative error 5.852099081198972e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.379999999999738 y[1] (closed_form) -0.040039806767897534 y[1] (numeric) -0.040039806767873866 absolute error 2.3668567106227556e-14 relative error 5.911259073608755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.389999999999737 y[1] (closed_form) -0.03970882138770497 y[1] (numeric) -0.03970882138768126 absolute error 2.3710200469651e-14 relative error 5.97101592065696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997357 y[1] (closed_form) -0.03938045855319342 y[1] (numeric) -0.03938045855316966 absolute error 2.375877272697835e-14 relative error 6.033137652494835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997346 y[1] (closed_form) -0.03905469884430697 y[1] (numeric) -0.03905469884428319 absolute error 2.3779589408690072e-14 relative error 6.088790878528676e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997335 y[1] (closed_form) -0.03873152296780804 y[1] (numeric) -0.038731522967784225 absolute error 2.3814283878209608e-14 relative error 6.148553440050112e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997324 y[1] (closed_form) -0.0384109117566763 y[1] (numeric) -0.03841091175665245 absolute error 2.3848978347729144e-14 relative error 6.208907119624385e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997313 y[1] (closed_form) -0.0380928461695071 y[1] (numeric) -0.03809284616948322 absolute error 2.388367281724868e-14 relative error 6.269857786674731e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.44999999999973 y[1] (closed_form) -0.03777730728990933 y[1] (numeric) -0.03777730728988541 absolute error 2.3918367286768216e-14 relative error 6.331411369056745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999729 y[1] (closed_form) -0.037464276325902754 y[1] (numeric) -0.0374642763258788 absolute error 2.3953061756287752e-14 relative error 6.393573853641111e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999728 y[1] (closed_form) -0.037153734609315085 y[1] (numeric) -0.03715373460929109 absolute error 2.3994695119711196e-14 relative error 6.458218903704854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.479999999999727 y[1] (closed_form) -0.036845663595178664 y[1] (numeric) -0.036845663595154635 absolute error 2.4029389589230732e-14 relative error 6.52163300768317e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997258 y[1] (closed_form) -0.03654004486112689 y[1] (numeric) -0.03654004486110282 absolute error 2.4071022952654175e-14 relative error 6.587573453765e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997247 y[1] (closed_form) -0.03623686010679052 y[1] (numeric) -0.036236860106766404 absolute error 2.411265631607762e-14 relative error 6.654179265261199e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997236 y[1] (closed_form) -0.03593609115319372 y[1] (numeric) -0.03593609115316956 absolute error 2.416122857340497e-14 relative error 6.723388047522166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997225 y[1] (closed_form) -0.03563771994215022 y[1] (numeric) -0.035637719942126035 absolute error 2.418204525511669e-14 relative error 6.785519751086987e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997214 y[1] (closed_form) -0.03534172853565937 y[1] (numeric) -0.03534172853563514 absolute error 2.4223678618540134e-14 relative error 6.854129557952645e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997203 y[1] (closed_form) -0.035048099115302225 y[1] (numeric) -0.03504809911527797 absolute error 2.425837308805967e-14 relative error 6.921451861983667e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999719 y[1] (closed_form) -0.034756813981637866 y[1] (numeric) -0.03475681398161357 absolute error 2.4293067557579207e-14 relative error 6.98944027793034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999718 y[1] (closed_form) -0.03446785555359974 y[1] (numeric) -0.03446785555357542 absolute error 2.4320823133194835e-14 relative error 7.056088271976881e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999717 y[1] (closed_form) -0.03418120636789241 y[1] (numeric) -0.034181206367868054 absolute error 2.4355517602714372e-14 relative error 7.125411941455744e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.579999999999716 y[1] (closed_form) -0.03389684907838843 y[1] (numeric) -0.033896849078364044 absolute error 2.438327317833e-14 relative error 7.193374558780455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997148 y[1] (closed_form) -0.03361476645552565 y[1] (numeric) -0.03361476645550123 absolute error 2.4417967647849537e-14 relative error 7.264059882776806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997137 y[1] (closed_form) -0.03333494138570491 y[1] (numeric) -0.03333494138568047 absolute error 2.4445723223465166e-14 relative error 7.333363194077273e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997125 y[1] (closed_form) -0.03305735687068815 y[1] (numeric) -0.03305735687066369 absolute error 2.445960101127298e-14 relative error 7.39913995754489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997114 y[1] (closed_form) -0.03278199602699705 y[1] (numeric) -0.032781996026972564 absolute error 2.448735658688861e-14 relative error 7.469757658051836e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997103 y[1] (closed_form) -0.03250884208531215 y[1] (numeric) -0.03250884208528762 absolute error 2.4528989950312052e-14 relative error 7.545328709629593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997092 y[1] (closed_form) -0.032237878389872666 y[1] (numeric) -0.03223787838984811 absolute error 2.455674552592768e-14 relative error 7.617357826389107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999708 y[1] (closed_form) -0.03196908839787689 y[1] (numeric) -0.031969088397852306 absolute error 2.458450110154331e-14 relative error 7.69008512084317e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999707 y[1] (closed_form) -0.03170245567888324 y[1] (numeric) -0.03170245567885861 absolute error 2.4626134464966754e-14 relative error 7.767894927259541e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999706 y[1] (closed_form) -0.03143796391421212 y[1] (numeric) -0.031437963914187475 absolute error 2.4646951146678475e-14 relative error 7.8398687694709e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.679999999999705 y[1] (closed_form) -0.031175596896348554 y[1] (numeric) -0.03117559689632387 absolute error 2.4685115063149965e-14 relative error 7.918088992881869e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997037 y[1] (closed_form) -0.030915338528345562 y[1] (numeric) -0.03091533852832085 absolute error 2.4712870638765594e-14 relative error 7.993724738322672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997026 y[1] (closed_form) -0.030657172823228496 y[1] (numeric) -0.03065717282320375 absolute error 2.4744095661333176e-14 relative error 8.071225551034808e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997015 y[1] (closed_form) -0.030401083903400232 y[1] (numeric) -0.030401083903375467 absolute error 2.4764912343044898e-14 relative error 8.146062298875814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997004 y[1] (closed_form) -0.030147056000047336 y[1] (numeric) -0.030147056000022546 absolute error 2.4789198471708573e-14 relative error 8.222759287563485e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999996993 y[1] (closed_form) -0.029895073452547185 y[1] (numeric) -0.029895073452522368 absolute error 2.4816954047324202e-14 relative error 8.301352424076314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996982 y[1] (closed_form) -0.029645120707876157 y[1] (numeric) -0.02964512070785131 absolute error 2.4848179069891785e-14 relative error 8.381878189920841e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999697 y[1] (closed_form) -0.02939718232001887 y[1] (numeric) -0.029397182319993994 absolute error 2.4875934645507414e-14 relative error 8.462013255116434e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999696 y[1] (closed_form) -0.0291512429493785 y[1] (numeric) -0.029151242949353593 absolute error 2.4907159668074996e-14 relative error 8.544115841415954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999695 y[1] (closed_form) -0.028907287362188283 y[1] (numeric) -0.02890728736216335 absolute error 2.493144579673867e-14 relative error 8.624623087031629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.779999999999694 y[1] (closed_form) -0.028665300429924163 y[1] (numeric) -0.028665300429899208 absolute error 2.4955731925402347e-14 relative error 8.705902799243179e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996927 y[1] (closed_form) -0.028425267128718658 y[1] (numeric) -0.028425267128693674 absolute error 2.4983487501017976e-14 relative error 8.789183013790087e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996916 y[1] (closed_form) -0.028187172538775968 y[1] (numeric) -0.028187172538750957 absolute error 2.5011243076633605e-14 relative error 8.873271358532551e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996905 y[1] (closed_form) -0.027951001843788376 y[1] (numeric) -0.027951001843763344 absolute error 2.5032059758345326e-14 relative error 8.955693215664921e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996894 y[1] (closed_form) -0.027716740330353935 y[1] (numeric) -0.027716740330328875 absolute error 2.5059815333960955e-14 relative error 9.041400624775759e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996883 y[1] (closed_form) -0.027484373387395507 y[1] (numeric) -0.027484373387370423 absolute error 2.508410146262463e-14 relative error 9.126677588410418e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999687 y[1] (closed_form) -0.027253886505581203 y[1] (numeric) -0.02725388650555609 absolute error 2.511185703824026e-14 relative error 9.214046236340535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999686 y[1] (closed_form) -0.027025265276746153 y[1] (numeric) -0.027025265276721024 absolute error 2.5129204273000028e-14 relative error 9.298411695748426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999685 y[1] (closed_form) -0.026798495393315816 y[1] (numeric) -0.026798495393290656 absolute error 2.516042929556761e-14 relative error 9.388746989819145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999684 y[1] (closed_form) -0.026573562647730635 y[1] (numeric) -0.02657356264770545 absolute error 2.5184715424231285e-14 relative error 9.477357536921021e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.879999999999683 y[1] (closed_form) -0.02635045293187228 y[1] (numeric) -0.02635045293184707 absolute error 2.520900155289496e-14 relative error 9.566819066856845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996817 y[1] (closed_form) -0.026129152236491347 y[1] (numeric) -0.026129152236466103 absolute error 2.5243696022414497e-14 relative error 9.661123251890184e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996806 y[1] (closed_form) -0.025909646650636605 y[1] (numeric) -0.025909646650611337 absolute error 2.5267982151078172e-14 relative error 9.752345329826153e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996795 y[1] (closed_form) -0.025691922361085865 y[1] (numeric) -0.025691922361060573 absolute error 2.5292268279741847e-14 relative error 9.844443683221871e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996784 y[1] (closed_form) -0.02547596565177837 y[1] (numeric) -0.02547596565175306 absolute error 2.5309615514501616e-14 relative error 9.934703108195962e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996773 y[1] (closed_form) -0.025261762903248854 y[1] (numeric) -0.025261762903223524 absolute error 2.5330432196213337e-14 relative error 1.0027183096139205e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999676 y[1] (closed_form) -0.02504930059206324 y[1] (numeric) -0.025049300592037884 absolute error 2.5354718324877012e-14 relative error 1.0121926650882438e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999675 y[1] (closed_form) -0.024838565290255955 y[1] (numeric) -0.024838565290230576 absolute error 2.5379004453540688e-14 relative error 1.0217580668194529e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999674 y[1] (closed_form) -0.024629543664769025 y[1] (numeric) -0.02462954366474362 absolute error 2.5403290582204363e-14 relative error 1.0314153980263197e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999673 y[1] (closed_form) -0.024422222476892783 y[1] (numeric) -0.024422222476867362 absolute error 2.542063781696413e-14 relative error 1.0408814284210212e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.979999999999672 y[1] (closed_form) -0.024216588581708397 y[1] (numeric) -0.024216588581682953 absolute error 2.5444923945627806e-14 relative error 1.0507228902111841e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996707 y[1] (closed_form) -0.024012628927532073 y[1] (numeric) -0.024012628927506604 absolute error 2.5469210074291482e-14 relative error 1.0606589620468146e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996696 y[1] (closed_form) -0.02381033055536109 y[1] (numeric) -0.023810330555335605 absolute error 2.548655730905125e-14 relative error 1.0703991382980923e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y[1] (closed_form) -0.023609680598321536 y[1] (numeric) -0.023609680598296115 absolute error 2.542063781696413e-14 relative error 1.0767040117760569e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y[1] (closed_form) -0.023410666281118146 y[1] (numeric) -0.023410666281092795 absolute error 2.535124887792506e-14 relative error 1.0828930955447469e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y[1] (closed_form) -0.02321327491948554 y[1] (numeric) -0.023213274919460257 absolute error 2.5281859938885987e-14 relative error 1.0891121578741158e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y[1] (closed_form) -0.023017493919641585 y[1] (numeric) -0.02301749391961637 absolute error 2.5215940446798868e-14 relative error 1.0955119847031338e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y[1] (closed_form) -0.02282331077774257 y[1] (numeric) -0.02282331077771742 absolute error 2.515002095471175e-14 relative error 1.1019444636944698e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y[1] (closed_form) -0.022630713079340267 y[1] (numeric) -0.02263071307931518 absolute error 2.5087570909576584e-14 relative error 1.1085629879015699e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y[1] (closed_form) -0.02243968849884087 y[1] (numeric) -0.02243968849881585 absolute error 2.5021651417489466e-14 relative error 1.1150623333644746e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y[1] (closed_form) -0.02225022479896588 y[1] (numeric) -0.02225022479894092 absolute error 2.49592013723543e-14 relative error 1.1217505260222956e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y[1] (closed_form) -0.022062309830214896 y[1] (numeric) -0.022062309830189995 absolute error 2.490022077417109e-14 relative error 1.1286316331243613e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y[1] (closed_form) -0.02187593153033036 y[1] (numeric) -0.021875931530305523 absolute error 2.4837770729035924e-14 relative error 1.1353925977780218e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y[1] (closed_form) -0.021691077923764294 y[1] (numeric) -0.021691077923739515 absolute error 2.4778790130852713e-14 relative error 1.1423494128756776e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y[1] (closed_form) -0.021507737121146935 y[1] (numeric) -0.02150773712112222 absolute error 2.4716340085717547e-14 relative error 1.1491836610470673e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y[1] (closed_form) -0.021325897318757458 y[1] (numeric) -0.021325897318732804 absolute error 2.4653890040582382e-14 relative error 1.156054053533201e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y[1] (closed_form) -0.021145546797996625 y[1] (numeric) -0.021145546797972026 absolute error 2.4598378889351125e-14 relative error 1.1632888534091551e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y[1] (closed_form) -0.020966673924861467 y[1] (numeric) -0.020966673924836938 absolute error 2.4528989950312052e-14 relative error 1.169903726180743e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y[1] (closed_form) -0.02078926714942203 y[1] (numeric) -0.020789267149397557 absolute error 2.4473478799080794e-14 relative error 1.1772170044849894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y[1] (closed_form) -0.02061331500530009 y[1] (numeric) -0.020613315005275676 absolute error 2.4414498200897583e-14 relative error 1.184404264652247e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y[1] (closed_form) -0.020438806109149985 y[1] (numeric) -0.020438806109125632 absolute error 2.4352048155762418e-14 relative error 1.191461381144986e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y[1] (closed_form) -0.02026572916014147 y[1] (numeric) -0.020265729160117173 absolute error 2.429653700453116e-14 relative error 1.198897745673887e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y[1] (closed_form) -0.020094072939444634 y[1] (numeric) -0.020094072939420397 absolute error 2.423755640634795e-14 relative error 1.2062042612958603e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y[1] (closed_form) -0.01992382630971694 y[1] (numeric) -0.01992382630969276 absolute error 2.418204525511669e-14 relative error 1.2137249582086045e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y[1] (closed_form) -0.019754978214592312 y[1] (numeric) -0.019754978214568186 absolute error 2.4126534103885433e-14 relative error 1.2212888235970824e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y[1] (closed_form) -0.019587517678172343 y[1] (numeric) -0.019587517678148272 absolute error 2.4071022952654175e-14 relative error 1.2288960422727835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y[1] (closed_form) -0.019421433804519595 y[1] (numeric) -0.01942143380449558 absolute error 2.4015511801422917e-14 relative error 1.2365467989203879e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y[1] (closed_form) -0.019256715777153047 y[1] (numeric) -0.019256715777129087 absolute error 2.396000065019166e-14 relative error 1.2442412780801792e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y[1] (closed_form) -0.019093352858545635 y[1] (numeric) -0.019093352858521737 absolute error 2.3897550605056495e-14 relative error 1.2516162447791688e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y[1] (closed_form) -0.01893133438962394 y[1] (numeric) -0.018931334389600096 absolute error 2.3842039453825237e-14 relative error 1.2593956116951167e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y[1] (closed_form) -0.01877064978927 y[1] (numeric) -0.01877064978924621 absolute error 2.3789997749545932e-14 relative error 1.2674040598821025e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y[1] (closed_form) -0.018611288553825305 y[1] (numeric) -0.01861128855380157 absolute error 2.3734486598314675e-14 relative error 1.275273688314094e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y[1] (closed_form) -0.018453240256596892 y[1] (numeric) -0.018453240256573213 absolute error 2.3678975447083417e-14 relative error 1.2831879451966905e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y[1] (closed_form) -0.018296494547365653 y[1] (numeric) -0.018296494547342022 absolute error 2.3630403189756066e-14 relative error 1.2915262608682818e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y[1] (closed_form) -0.018141041151896766 y[1] (numeric) -0.01814104115187318 absolute error 2.358530037938067e-14 relative error 1.3001073191940072e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y[1] (closed_form) -0.017986869871452326 y[1] (numeric) -0.01798686987142879 absolute error 2.353672812205332e-14 relative error 1.308550531040945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y[1] (closed_form) -0.017833970582306125 y[1] (numeric) -0.01783397058228264 absolute error 2.3484686417774014e-14 relative error 1.3168512479814349e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y[1] (closed_form) -0.01768233323526065 y[1] (numeric) -0.017682333235237217 absolute error 2.343264471349471e-14 relative error 1.3252009450182325e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y[1] (closed_form) -0.017531947855166218 y[1] (numeric) -0.01753194785514284 absolute error 2.3377133562263452e-14 relative error 1.3334019559825925e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y[1] (closed_form) -0.017382804540442366 y[1] (numeric) -0.017382804540419045 absolute error 2.3321622411032195e-14 relative error 1.3416490047260632e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y[1] (closed_form) -0.01723489346260135 y[1] (numeric) -0.017234893462578078 absolute error 2.3273050153704844e-14 relative error 1.3503448805300664e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y[1] (closed_form) -0.017088204865773934 y[1] (numeric) -0.017088204865750713 absolute error 2.322100844942554e-14 relative error 1.358891038106351e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y[1] (closed_form) -0.016942729066237304 y[1] (numeric) -0.016942729066214135 absolute error 2.3168966745146236e-14 relative error 1.3674872952620304e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y[1] (closed_form) -0.016798456451945228 y[1] (numeric) -0.016798456451922107 absolute error 2.3120394487818885e-14 relative error 1.3763404128205832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y[1] (closed_form) -0.01665537748206041 y[1] (numeric) -0.016655377482037347 absolute error 2.3064883336587627e-14 relative error 1.3848310169752036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y[1] (closed_form) -0.016513482686489087 y[1] (numeric) -0.016513482686466067 absolute error 2.301978052621223e-14 relative error 1.3939991316941538e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y[1] (closed_form) -0.016372762665417748 y[1] (numeric) -0.016372762665394773 absolute error 2.2974677715836833e-14 relative error 1.4032254779068855e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y[1] (closed_form) -0.016233208088852175 y[1] (numeric) -0.016233208088829245 absolute error 2.2929574905461436e-14 relative error 1.4125103787222352e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y[1] (closed_form) -0.01609480969615864 y[1] (numeric) -0.016094809696135755 absolute error 2.288447209508604e-14 relative error 1.4218541583966597e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y[1] (closed_form) -0.01595755829560733 y[1] (numeric) -0.015957558295584488 absolute error 2.2842838731662596e-14 relative error 1.431474559485118e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y[1] (closed_form) -0.01582144476391799 y[1] (numeric) -0.01582144476389519 absolute error 2.27977359212872e-14 relative error 1.4409389446707912e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y[1] (closed_form) -0.015686460045807784 y[1] (numeric) -0.015686460045785035 absolute error 2.2749163663959848e-14 relative error 1.450242030230369e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y[1] (closed_form) -0.01555259515354141 y[1] (numeric) -0.015552595153518704 absolute error 2.2705795577060428e-14 relative error 1.459936129816264e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y[1] (closed_form) -0.015419841166483364 y[1] (numeric) -0.0154198411664607 absolute error 2.2664162213636985e-14 relative error 1.469805166534394e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y[1] (closed_form) -0.015288189230652498 y[1] (numeric) -0.015288189230629882 absolute error 2.2615589956309634e-14 relative error 1.479285062155422e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y[1] (closed_form) -0.015157630558278774 y[1] (numeric) -0.015157630558256202 absolute error 2.2572221869410214e-14 relative error 1.4891655910614438e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y[1] (closed_form) -0.015028156427362216 y[1] (numeric) -0.015028156427339689 absolute error 2.2527119059034817e-14 relative error 1.498994182547835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y[1] (closed_form) -0.014899758181234119 y[1] (numeric) -0.014899758181211635 absolute error 2.2483750972135397e-14 relative error 1.509001065564482e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y[1] (closed_form) -0.014772427228120461 y[1] (numeric) -0.014772427228098019 absolute error 2.2442117608711953e-14 relative error 1.5191895862578114e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y[1] (closed_form) -0.014646155040707534 y[1] (numeric) -0.014646155040685133 absolute error 2.240048424528851e-14 relative error 1.5294447029291024e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y[1] (closed_form) -0.014520933155709804 y[1] (numeric) -0.014520933155687444 absolute error 2.2360585605341043e-14 relative error 1.5398862707765165e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y[1] (closed_form) -0.014396753173439972 y[1] (numeric) -0.014396753173417657 absolute error 2.2315482794965646e-14 relative error 1.550035798080823e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y[1] (closed_form) -0.014273606757381282 y[1] (numeric) -0.014273606757359007 absolute error 2.227558415501818e-14 relative error 1.5606135529479157e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y[1] (closed_form) -0.014151485633762 y[1] (numeric) -0.014151485633739766 absolute error 2.2233950791594737e-14 relative error 1.5711389861817717e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y[1] (closed_form) -0.014030381591132145 y[1] (numeric) -0.01403038159110995 absolute error 2.219405215164727e-14 relative error 1.5818566307330475e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y[1] (closed_form) -0.013910286479942415 y[1] (numeric) -0.01391028647992026 absolute error 2.2154153511699803e-14 relative error 1.592645381074245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y[1] (closed_form) -0.013791192212125327 y[1] (numeric) -0.01379119221210321 absolute error 2.2115989595228314e-14 relative error 1.6036314522383177e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y[1] (closed_form) -0.01367309076067855 y[1] (numeric) -0.013673090760656476 absolute error 2.207435623180487e-14 relative error 1.6144379217672502e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y[1] (closed_form) -0.013555974159250469 y[1] (numeric) -0.013555974159228433 absolute error 2.203619231533338e-14 relative error 1.6255705459792494e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y[1] (closed_form) -0.013439834501727919 y[1] (numeric) -0.013439834501705921 absolute error 2.199802839886189e-14 relative error 1.6367782204485978e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y[1] (closed_form) -0.013324663941826154 y[1] (numeric) -0.013324663941804194 absolute error 2.19598644823904e-14 relative error 1.6480614129005033e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y[1] (closed_form) -0.013210454692680972 y[1] (numeric) -0.01321045469265905 absolute error 2.192170056591891e-14 relative error 1.6594205934534757e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y[1] (closed_form) -0.013097199026443067 y[1] (numeric) -0.013097199026421182 absolute error 2.1885271372923398e-14 relative error 1.6709886845834237e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y[1] (closed_form) -0.012984889273874561 y[1] (numeric) -0.012984889273852714 absolute error 2.184710745645191e-14 relative error 1.682502406886751e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y[1] (closed_form) -0.012873517823947711 y[1] (numeric) -0.012873517823925899 absolute error 2.1812412986932372e-14 relative error 1.694363054856401e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y[1] (closed_form) -0.0127630771234458 y[1] (numeric) -0.012763077123424026 absolute error 2.1774249070460883e-14 relative error 1.706034435101982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y[1] (closed_form) -0.012653559676566237 y[1] (numeric) -0.012653559676544497 absolute error 2.1739554600941347e-14 relative error 1.7180584085916883e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y[1] (closed_form) -0.012544958044525784 y[1] (numeric) -0.012544958044504083 absolute error 2.1701390684469857e-14 relative error 1.729889458971897e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y[1] (closed_form) -0.012437264845168005 y[1] (numeric) -0.012437264845146337 absolute error 2.1668430938426297e-14 relative error 1.7422183420693728e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y[1] (closed_form) -0.012330472752572826 y[1] (numeric) -0.012330472752551192 absolute error 2.163373646890676e-14 relative error 1.754493676196864e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y[1] (closed_form) -0.012224574496668323 y[1] (numeric) -0.012224574496646722 absolute error 2.1600776722863202e-14 relative error 1.766996203323908e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y[1] (closed_form) -0.012119562862844605 y[1] (numeric) -0.01211956286282304 absolute error 2.156434752986769e-14 relative error 1.7793007696654069e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y[1] (closed_form) -0.012015430691569899 y[1] (numeric) -0.012015430691548368 absolute error 2.153138778382413e-14 relative error 1.791978026965832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y[1] (closed_form) -0.011912170878008757 y[1] (numeric) -0.01191217087798726 absolute error 2.1496693314304594e-14 relative error 1.8045991393550248e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y[1] (closed_form) -0.011809776371642416 y[1] (numeric) -0.011809776371620955 absolute error 2.146026412130908e-14 relative error 1.8171609221017407e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y[1] (closed_form) -0.011708240175891307 y[1] (numeric) -0.011708240175869878 absolute error 2.1429039098741498e-14 relative error 1.830252777259088e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y[1] (closed_form) -0.011607555347739672 y[1] (numeric) -0.011607555347718276 absolute error 2.139607935269794e-14 relative error 1.8432890226850717e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y[1] (closed_form) -0.011507714997362348 y[1] (numeric) -0.011507714997340986 absolute error 2.1361384883178403e-14 relative error 1.856266416753855e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y[1] (closed_form) -0.011408712287753642 y[1] (numeric) -0.011408712287732312 absolute error 2.133015986061082e-14 relative error 1.869637810351925e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y[1] (closed_form) -0.011310540434358342 y[1] (numeric) -0.011310540434337045 absolute error 2.129720011456726e-14 relative error 1.8829515917623322e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y[1] (closed_form) -0.011213192704704843 y[1] (numeric) -0.011213192704683577 absolute error 2.1265975091999678e-14 relative error 1.8965138343762592e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y[1] (closed_form) -0.011116662418040369 y[1] (numeric) -0.011116662418019136 absolute error 2.123301534595612e-14 relative error 1.910017102929986e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y[1] (closed_form) -0.011020942944968309 y[1] (numeric) -0.011020942944947109 absolute error 2.120005559991256e-14 relative error 1.923615402581464e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y[1] (closed_form) -0.010926027707087645 y[1] (numeric) -0.010926027707066478 absolute error 2.1167095853869e-14 relative error 1.937309370004438e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y[1] (closed_form) -0.010831910176634475 y[1] (numeric) -0.010831910176613339 absolute error 2.1135870831301418e-14 relative error 1.9512597950538426e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y[1] (closed_form) -0.010738583876125606 y[1] (numeric) -0.010738583876104503 absolute error 2.1102911085257858e-14 relative error 1.9651484151625045e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9399999999999835 y[1] (closed_form) -0.01064604237800425 y[1] (numeric) -0.010646042377983181 absolute error 2.10699513392143e-14 relative error 1.9791346484536685e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y[1] (closed_form) -0.01055427930428778 y[1] (numeric) -0.01055427930426674 absolute error 2.1040461040122693e-14 relative error 1.993547871295655e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y[1] (closed_form) -0.010463288326217542 y[1] (numeric) -0.010463288326196533 absolute error 2.100923601755511e-14 relative error 2.0078999414469836e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y[1] (closed_form) -0.010373063163910751 y[1] (numeric) -0.01037306316388977 absolute error 2.0981480441939482e-14 relative error 2.0226889695357112e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y[1] (closed_form) -0.010283597586014421 y[1] (numeric) -0.010283597585993468 absolute error 2.0953724866323853e-14 relative error 2.037587010874549e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.99 y[1] (closed_form) -0.010194885409361356 y[1] (numeric) -0.010194885409340434 absolute error 2.092249984375627e-14 relative error 2.0522545378042586e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 Finished! diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) / exp ( x ) ; 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%