##############ECHO OF PROBLEM################# ##############temp/lin_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=30 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(1.0) x_end=c(10.0) $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(c(10.0) * exp(c(0.1) * c(x) + c(0.2))) 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) 13.498588075760033 y[1] (numeric) 13.498588075760033 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) 13.512093415380155 y[1] (numeric) 13.512093415380159 absolute error 3.552713678800501e-15 relative error 2.629284426613437e-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) 13.52561226709482 y[1] (numeric) 13.525612267094827 absolute error 7.105427357601002e-15 relative error 5.2533129127818656e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999967 y[1] (closed_form) 13.53914464442288 y[1] (numeric) 13.539144644422887 absolute error 7.105427357601002e-15 relative error 5.248062225650207e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999956 y[1] (closed_form) 13.552690560896712 y[1] (numeric) 13.552690560896721 absolute error 8.881784197001252e-15 relative error 6.553520983226514e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999945 y[1] (closed_form) 13.566250030062236 y[1] (numeric) 13.566250030062244 absolute error 8.881784197001252e-15 relative error 6.546970737911799e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999934 y[1] (closed_form) 13.579823065478918 y[1] (numeric) 13.579823065478926 absolute error 8.881784197001252e-15 relative error 6.540427039568369e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999923 y[1] (closed_form) 13.593409680719796 y[1] (numeric) 13.593409680719809 absolute error 1.2434497875801753e-14 relative error 9.147445834313531e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999912 y[1] (closed_form) 13.60700988937149 y[1] (numeric) 13.607009889371504 absolute error 1.4210854715202004e-14 relative error 1.0443774812203364e-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) 13.620623705034207 y[1] (numeric) 13.620623705034223 absolute error 1.5987211554602254e-14 relative error 1.173750328973067e-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) 13.634251141321762 y[1] (numeric) 13.634251141321782 absolute error 1.9539925233402755e-14 relative error 1.4331498687289453e-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) 13.647892211861599 y[1] (numeric) 13.647892211861617 absolute error 1.7763568394002505e-14 relative error 1.3015613047239563e-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) 13.661546930294781 y[1] (numeric) 13.661546930294804 absolute error 2.3092638912203256e-14 relative error 1.690338512177916e-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) 13.675215310276034 y[1] (numeric) 13.675215310276059 absolute error 2.4868995751603507e-14 relative error 1.8185450969035986e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999846 y[1] (closed_form) 13.688897365473736 y[1] (numeric) 13.688897365473762 absolute error 2.6645352591003757e-14 relative error 1.9464937079745309e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999835 y[1] (closed_form) 13.702593109569944 y[1] (numeric) 13.702593109569971 absolute error 2.6645352591003757e-14 relative error 1.9445481871890757e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999824 y[1] (closed_form) 13.716302556260406 y[1] (numeric) 13.716302556260432 absolute error 2.6645352591003757e-14 relative error 1.94260461095197e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999813 y[1] (closed_form) 13.730025719254563 y[1] (numeric) 13.73002571925459 absolute error 2.6645352591003757e-14 relative error 1.9406629773196374e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999802 y[1] (closed_form) 13.743762612275585 y[1] (numeric) 13.743762612275614 absolute error 2.842170943040401e-14 relative error 2.06797150330714e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999979 y[1] (closed_form) 13.757513249060365 y[1] (numeric) 13.757513249060397 absolute error 3.197442310920451e-14 relative error 2.3241426361256353e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.199999999999978 y[1] (closed_form) 13.771277643359541 y[1] (numeric) 13.771277643359577 absolute error 3.552713678800501e-14 relative error 2.5797996168595195e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999769 y[1] (closed_form) 13.785055808937507 y[1] (numeric) 13.785055808937544 absolute error 3.730349362740526e-14 relative error 2.70608216204824e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999758 y[1] (closed_form) 13.798847759572432 y[1] (numeric) 13.798847759572471 absolute error 3.907985046680551e-14 relative error 2.832109691165723e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999747 y[1] (closed_form) 13.812653509056265 y[1] (numeric) 13.812653509056304 absolute error 3.907985046680551e-14 relative error 2.829278997057503e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999736 y[1] (closed_form) 13.82647307119476 y[1] (numeric) 13.8264730711948 absolute error 3.907985046680551e-14 relative error 2.8264511322285157e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999725 y[1] (closed_form) 13.840306459807476 y[1] (numeric) 13.84030645980752 absolute error 4.440892098500626e-14 relative error 3.208666015739655e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999714 y[1] (closed_form) 13.854153688727806 y[1] (numeric) 13.854153688727852 absolute error 4.618527782440651e-14 relative error 3.3336773116631705e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999703 y[1] (closed_form) 13.868014771802981 y[1] (numeric) 13.868014771803027 absolute error 4.618527782440651e-14 relative error 3.330345300634689e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999692 y[1] (closed_form) 13.88188972289408 y[1] (numeric) 13.881889722894131 absolute error 5.1514348342607263e-14 relative error 3.710903153023147e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999968 y[1] (closed_form) 13.895778555876062 y[1] (numeric) 13.895778555876117 absolute error 5.5067062021407764e-14 relative error 3.9628626636484317e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.299999999999967 y[1] (closed_form) 13.909681284637758 y[1] (numeric) 13.909681284637813 absolute error 5.5067062021407764e-14 relative error 3.958901781755803e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999659 y[1] (closed_form) 13.923597923081896 y[1] (numeric) 13.923597923081955 absolute error 5.861977570020827e-14 relative error 4.210102591588853e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999648 y[1] (closed_form) 13.937528485125117 y[1] (numeric) 13.93752848512518 absolute error 6.217248937900877e-14 relative error 4.4607972959741466e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999637 y[1] (closed_form) 13.951472984697986 y[1] (numeric) 13.95147298469805 absolute error 6.394884621840902e-14 relative error 4.583662692000213e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999626 y[1] (closed_form) 13.965431435745002 y[1] (numeric) 13.965431435745067 absolute error 6.572520305780927e-14 relative error 4.706278023719579e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999615 y[1] (closed_form) 13.979403852224618 y[1] (numeric) 13.979403852224683 absolute error 6.572520305780927e-14 relative error 4.701574098050688e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999604 y[1] (closed_form) 13.99339024810925 y[1] (numeric) 13.993390248109318 absolute error 6.750155989720952e-14 relative error 4.823817438117267e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999593 y[1] (closed_form) 14.007390637385296 y[1] (numeric) 14.007390637385368 absolute error 7.283063041541027e-14 relative error 5.199443086924952e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999581 y[1] (closed_form) 14.021405034053148 y[1] (numeric) 14.021405034053222 absolute error 7.460698725481052e-14 relative error 5.320935175441828e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999957 y[1] (closed_form) 14.0354334521272 y[1] (numeric) 14.035433452127277 absolute error 7.638334409421077e-14 relative error 5.442179206986597e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.399999999999956 y[1] (closed_form) 14.049475905635877 y[1] (numeric) 14.049475905635951 absolute error 7.460698725481052e-14 relative error 5.310303939870263e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999548 y[1] (closed_form) 14.06353240862163 y[1] (numeric) 14.063532408621702 absolute error 7.283063041541027e-14 relative error 5.178686854716639e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999537 y[1] (closed_form) 14.077602975140962 y[1] (numeric) 14.077602975141035 absolute error 7.283063041541027e-14 relative error 5.173510756342452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999526 y[1] (closed_form) 14.091687619264441 y[1] (numeric) 14.091687619264514 absolute error 7.283063041541027e-14 relative error 5.168339831479452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999515 y[1] (closed_form) 14.105786355076717 y[1] (numeric) 14.105786355076791 absolute error 7.460698725481052e-14 relative error 5.289105149955658e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999504 y[1] (closed_form) 14.119899196676522 y[1] (numeric) 14.119899196676599 absolute error 7.638334409421077e-14 relative error 5.409623895345481e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999493 y[1] (closed_form) 14.1340261581767 y[1] (numeric) 14.134026158176775 absolute error 7.460698725481052e-14 relative error 5.278537510817433e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999482 y[1] (closed_form) 14.148167253704214 y[1] (numeric) 14.148167253704292 absolute error 7.815970093361102e-14 relative error 5.524369307490875e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999471 y[1] (closed_form) 14.162322497400162 y[1] (numeric) 14.162322497400242 absolute error 7.993605777301127e-14 relative error 5.644276056253166e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999946 y[1] (closed_form) 14.176491903419786 y[1] (numeric) 14.176491903419869 absolute error 8.348877145181177e-14 relative error 5.889240583678662e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.499999999999945 y[1] (closed_form) 14.190675485932495 y[1] (numeric) 14.190675485932578 absolute error 8.348877145181177e-14 relative error 5.883354286733982e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999438 y[1] (closed_form) 14.204873259121873 y[1] (numeric) 14.204873259121957 absolute error 8.348877145181177e-14 relative error 5.877473873144077e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999427 y[1] (closed_form) 14.219085237185693 y[1] (numeric) 14.219085237185778 absolute error 8.526512829121202e-14 relative error 5.996526982497229e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999416 y[1] (closed_form) 14.233311434335935 y[1] (numeric) 14.23331143433602 absolute error 8.526512829121202e-14 relative error 5.990533452779053e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999405 y[1] (closed_form) 14.2475518647988 y[1] (numeric) 14.247551864798886 absolute error 8.704148513061227e-14 relative error 6.109223953461386e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999394 y[1] (closed_form) 14.261806542814714 y[1] (numeric) 14.261806542814803 absolute error 8.881784197001252e-14 relative error 6.227671207246892e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999383 y[1] (closed_form) 14.276075482638362 y[1] (numeric) 14.27607548263845 absolute error 8.881784197001252e-14 relative error 6.221446648837563e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5699999999999372 y[1] (closed_form) 14.29035869853868 y[1] (numeric) 14.290358698538771 absolute error 9.059419880941277e-14 relative error 6.339532878112909e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999361 y[1] (closed_form) 14.304656204798889 y[1] (numeric) 14.304656204798981 absolute error 9.237055564881302e-14 relative error 6.457376837747754e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.589999999999935 y[1] (closed_form) 14.318968015716493 y[1] (numeric) 14.318968015716587 absolute error 9.414691248821327e-14 relative error 6.574978894070974e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.599999999999934 y[1] (closed_form) 14.333294145603308 y[1] (numeric) 14.333294145603404 absolute error 9.592326932761353e-14 relative error 6.692339412921187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999328 y[1] (closed_form) 14.347634608785462 y[1] (numeric) 14.347634608785556 absolute error 9.414691248821327e-14 relative error 6.561842077478364e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999317 y[1] (closed_form) 14.36198941960342 y[1] (numeric) 14.361989419603514 absolute error 9.414691248821327e-14 relative error 6.555283515228559e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999306 y[1] (closed_form) 14.376358592411997 y[1] (numeric) 14.37635859241209 absolute error 9.414691248821327e-14 relative error 6.548731508262814e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999295 y[1] (closed_form) 14.390742141580361 y[1] (numeric) 14.390742141580457 absolute error 9.592326932761353e-14 relative error 6.665623522671183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999284 y[1] (closed_form) 14.40514008149207 y[1] (numeric) 14.405140081492162 absolute error 9.237055564881302e-14 relative error 6.412333037114442e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999273 y[1] (closed_form) 14.419552426545057 y[1] (numeric) 14.419552426545152 absolute error 9.592326932761353e-14 relative error 6.652305597989831e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999262 y[1] (closed_form) 14.433979191151673 y[1] (numeric) 14.43397919115177 absolute error 9.769962616701378e-14 relative error 6.768724332573908e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.679999999999925 y[1] (closed_form) 14.448420389738683 y[1] (numeric) 14.44842038973878 absolute error 9.769962616701378e-14 relative error 6.761958991475662e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999924 y[1] (closed_form) 14.462876036747288 y[1] (numeric) 14.462876036747383 absolute error 9.592326932761353e-14 relative error 6.632378586658118e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.699999999999923 y[1] (closed_form) 14.477346146633135 y[1] (numeric) 14.47734614663323 absolute error 9.592326932761353e-14 relative error 6.625749523155633e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999218 y[1] (closed_form) 14.491830733866333 y[1] (numeric) 14.491830733866427 absolute error 9.414691248821327e-14 relative error 6.496550657895757e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999207 y[1] (closed_form) 14.506329812931472 y[1] (numeric) 14.50632981293157 absolute error 9.769962616701378e-14 relative error 6.734965179126202e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999196 y[1] (closed_form) 14.520843398327637 y[1] (numeric) 14.520843398327735 absolute error 9.769962616701378e-14 relative error 6.728233580307451e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999185 y[1] (closed_form) 14.535371504568406 y[1] (numeric) 14.53537150456851 absolute error 1.0302869668521453e-13 relative error 7.088136457525908e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999174 y[1] (closed_form) 14.549914146181894 y[1] (numeric) 14.549914146181997 absolute error 1.0302869668521453e-13 relative error 7.08105186395555e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999163 y[1] (closed_form) 14.564471337710739 y[1] (numeric) 14.564471337710843 absolute error 1.0480505352461478e-13 relative error 7.195939426462434e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999152 y[1] (closed_form) 14.579043093712137 y[1] (numeric) 14.579043093712242 absolute error 1.0480505352461478e-13 relative error 7.188747083806661e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999914 y[1] (closed_form) 14.593629428757842 y[1] (numeric) 14.59362942875795 absolute error 1.0835776720341528e-13 relative error 7.42500470718327e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.789999999999913 y[1] (closed_form) 14.608230357434191 y[1] (numeric) 14.608230357434302 absolute error 1.1013412404281553e-13 relative error 7.539183141835369e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.799999999999912 y[1] (closed_form) 14.622845894342118 y[1] (numeric) 14.622845894342229 absolute error 1.1013412404281553e-13 relative error 7.531647727028889e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999108 y[1] (closed_form) 14.637476054097156 y[1] (numeric) 14.637476054097267 absolute error 1.1013412404281553e-13 relative error 7.524119843870763e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999097 y[1] (closed_form) 14.652120851329467 y[1] (numeric) 14.652120851329581 absolute error 1.1368683772161603e-13 relative error 7.759070435956758e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999086 y[1] (closed_form) 14.66678030068385 y[1] (numeric) 14.666780300683966 absolute error 1.1546319456101628e-13 relative error 7.872429544446965e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999075 y[1] (closed_form) 14.68145441681976 y[1] (numeric) 14.681454416819877 absolute error 1.1723955140041653e-13 relative error 7.985554296725631e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999064 y[1] (closed_form) 14.696143214411306 y[1] (numeric) 14.696143214411427 absolute error 1.2079226507921703e-13 relative error 8.219317362174719e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999053 y[1] (closed_form) 14.710846708147292 y[1] (numeric) 14.710846708147415 absolute error 1.2256862191861728e-13 relative error 8.331853655353178e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999042 y[1] (closed_form) 14.725564912731212 y[1] (numeric) 14.725564912731338 absolute error 1.2612133559741778e-13 relative error 8.564787588446108e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999903 y[1] (closed_form) 14.740297842881274 y[1] (numeric) 14.740297842881402 absolute error 1.2789769243681803e-13 relative error 8.676737322413424e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.889999999999902 y[1] (closed_form) 14.755045513330405 y[1] (numeric) 14.755045513330534 absolute error 1.2967404927621828e-13 relative error 8.788454712597439e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999009 y[1] (closed_form) 14.76980793882628 y[1] (numeric) 14.769807938826412 absolute error 1.3145040611561853e-13 relative error 8.899940111615599e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999998998 y[1] (closed_form) 14.784585134131325 y[1] (numeric) 14.784585134131458 absolute error 1.3322676295501878e-13 relative error 9.01119387161259e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998987 y[1] (closed_form) 14.799377114022734 y[1] (numeric) 14.799377114022871 absolute error 1.3677947663381929e-13 relative error 9.242245506685395e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998976 y[1] (closed_form) 14.814183893292492 y[1] (numeric) 14.81418389329263 absolute error 1.3855583347321954e-13 relative error 9.352917074018118e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998965 y[1] (closed_form) 14.829005486747377 y[1] (numeric) 14.829005486747517 absolute error 1.4033219031261979e-13 relative error 9.46335817584221e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998954 y[1] (closed_form) 14.843841909208987 y[1] (numeric) 14.843841909209127 absolute error 1.4033219031261979e-13 relative error 9.453899547768625e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998943 y[1] (closed_form) 14.85869317551374 y[1] (numeric) 14.858693175513887 absolute error 1.474376176702208e-13 relative error 9.922650392511597e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998932 y[1] (closed_form) 14.873559300512909 y[1] (numeric) 14.873559300513056 absolute error 1.474376176702208e-13 relative error 9.91273270179092e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999892 y[1] (closed_form) 14.888440299072617 y[1] (numeric) 14.888440299072766 absolute error 1.4921397450962104e-13 relative error 1.0022136067464058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.989999999999891 y[1] (closed_form) 14.903336186073863 y[1] (numeric) 14.903336186074014 absolute error 1.509903313490213e-13 relative error 1.013131083294701e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998899 y[1] (closed_form) 14.91824697641254 y[1] (numeric) 14.918246976412691 absolute error 1.509903313490213e-13 relative error 1.0121184586081349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998888 y[1] (closed_form) 14.933172684999434 y[1] (numeric) 14.93317268499959 absolute error 1.5631940186722204e-13 relative error 1.0467929700179983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998877 y[1] (closed_form) 14.948113326760259 y[1] (numeric) 14.948113326760419 absolute error 1.5987211554602254e-13 relative error 1.0695136707307264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998866 y[1] (closed_form) 14.963068916635658 y[1] (numeric) 14.963068916635818 absolute error 1.5987211554602254e-13 relative error 1.0684446916386232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998855 y[1] (closed_form) 14.978039469581217 y[1] (numeric) 14.97803946958138 absolute error 1.6342482922482304e-13 relative error 1.09109626501333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998844 y[1] (closed_form) 14.993025000567497 y[1] (numeric) 14.99302500056766 absolute error 1.6342482922482304e-13 relative error 1.0900057141146453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0599999999998833 y[1] (closed_form) 15.008025524580024 y[1] (numeric) 15.008025524580193 absolute error 1.687538997430238e-13 relative error 1.1244243919137799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999882 y[1] (closed_form) 15.023041056619329 y[1] (numeric) 15.023041056619496 absolute error 1.6697754290362354e-13 relative error 1.1114763134462132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999881 y[1] (closed_form) 15.038071611700941 y[1] (numeric) 15.03807161170111 absolute error 1.687538997430238e-13 relative error 1.122177790480253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.08999999999988 y[1] (closed_form) 15.053117204855418 y[1] (numeric) 15.053117204855587 absolute error 1.687538997430238e-13 relative error 1.1210561735916853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.099999999999879 y[1] (closed_form) 15.068177851128354 y[1] (numeric) 15.068177851128523 absolute error 1.687538997430238e-13 relative error 1.1199356777593846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998778 y[1] (closed_form) 15.083253565580396 y[1] (numeric) 15.083253565580568 absolute error 1.723066134218243e-13 relative error 1.142370329270494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998766 y[1] (closed_form) 15.098344363287264 y[1] (numeric) 15.098344363287435 absolute error 1.7053025658242404e-13 relative error 1.1294632873593803e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998755 y[1] (closed_form) 15.11345025933975 y[1] (numeric) 15.113450259339922 absolute error 1.723066134218243e-13 relative error 1.1400878718302126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998744 y[1] (closed_form) 15.128571268843755 y[1] (numeric) 15.128571268843931 absolute error 1.758593271006248e-13 relative error 1.1624318250249771e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998733 y[1] (closed_form) 15.143707406920292 y[1] (numeric) 15.14370740692047 absolute error 1.7763568394002505e-13 relative error 1.1729999739617923e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1599999999998722 y[1] (closed_form) 15.158858688705497 y[1] (numeric) 15.158858688705674 absolute error 1.7763568394002505e-13 relative error 1.1718275602923665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999871 y[1] (closed_form) 15.174025129350653 y[1] (numeric) 15.174025129350833 absolute error 1.794120407794253e-13 relative error 1.1823628816351045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.17999999999987 y[1] (closed_form) 15.189206744022204 y[1] (numeric) 15.189206744022384 absolute error 1.794120407794253e-13 relative error 1.1811811097378992e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999869 y[1] (closed_form) 15.204403547901764 y[1] (numeric) 15.204403547901943 absolute error 1.794120407794253e-13 relative error 1.180000519021902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.199999999999868 y[1] (closed_form) 15.219615556186136 y[1] (numeric) 15.21961555618632 absolute error 1.829647544582258e-13 relative error 1.2021641005502158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998667 y[1] (closed_form) 15.234842784087338 y[1] (numeric) 15.234842784087519 absolute error 1.8118839761882555e-13 relative error 1.189302706871877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998656 y[1] (closed_form) 15.25008524683259 y[1] (numeric) 15.250085246832771 absolute error 1.8118839761882555e-13 relative error 1.1881139986181913e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998645 y[1] (closed_form) 15.26534295966436 y[1] (numeric) 15.265342959664542 absolute error 1.8118839761882555e-13 relative error 1.186926478478603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998634 y[1] (closed_form) 15.280615937840363 y[1] (numeric) 15.280615937840546 absolute error 1.829647544582258e-13 relative error 1.1973650486505489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2499999999998623 y[1] (closed_form) 15.295904196633575 y[1] (numeric) 15.295904196633762 absolute error 1.865174681370263e-13 relative error 1.219394850669085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2599999999998612 y[1] (closed_form) 15.311207751332264 y[1] (numeric) 15.311207751332448 absolute error 1.8474111129762605e-13 relative error 1.206574388500158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.26999999999986 y[1] (closed_form) 15.326526617239974 y[1] (numeric) 15.32652661724016 absolute error 1.865174681370263e-13 relative error 1.2169584981324011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999859 y[1] (closed_form) 15.34186080967558 y[1] (numeric) 15.34186080967577 absolute error 1.900701818158268e-13 relative error 1.2388991412042802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999858 y[1] (closed_form) 15.357210343973275 y[1] (numeric) 15.357210343973465 absolute error 1.900701818158268e-13 relative error 1.237660861306215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.299999999999857 y[1] (closed_form) 15.372575235482595 y[1] (numeric) 15.372575235482786 absolute error 1.9184653865522705e-13 relative error 1.2479791818641528e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998557 y[1] (closed_form) 15.38795549956843 y[1] (numeric) 15.387955499568628 absolute error 1.9895196601282805e-13 relative error 1.292907079295933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998546 y[1] (closed_form) 15.403351151611046 y[1] (numeric) 15.403351151611247 absolute error 2.007283228522283e-13 relative error 1.3031470936195206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998535 y[1] (closed_form) 15.418762207006099 y[1] (numeric) 15.418762207006298 absolute error 1.9895196601282805e-13 relative error 1.2903238492284854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998524 y[1] (closed_form) 15.434188681164642 y[1] (numeric) 15.434188681164844 absolute error 2.0250467969162855e-13 relative error 1.3120526376534347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3499999999998513 y[1] (closed_form) 15.449630589513156 y[1] (numeric) 15.449630589513356 absolute error 2.007283228522283e-13 relative error 1.299243510640817e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.35999999999985 y[1] (closed_form) 15.465087947493544 y[1] (numeric) 15.465087947493746 absolute error 2.0250467969162855e-13 relative error 1.3094311547348742e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999849 y[1] (closed_form) 15.480560770563168 y[1] (numeric) 15.480560770563374 absolute error 2.0605739337042905e-13 relative error 1.3310718934824018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999848 y[1] (closed_form) 15.496049074194854 y[1] (numeric) 15.496049074195065 absolute error 2.113864638886298e-13 relative error 1.3641313529436732e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999847 y[1] (closed_form) 15.511552873876903 y[1] (numeric) 15.511552873877122 absolute error 2.184918912462308e-13 relative error 1.4085752279141198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.399999999999846 y[1] (closed_form) 15.527072185113122 y[1] (numeric) 15.527072185113342 absolute error 2.2026824808563106e-13 relative error 1.4186077417532551e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998447 y[1] (closed_form) 15.542607023422818 y[1] (numeric) 15.542607023423043 absolute error 2.255973186038318e-13 relative error 1.4514766941212311e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998436 y[1] (closed_form) 15.558157404340832 y[1] (numeric) 15.558157404341058 absolute error 2.255973186038318e-13 relative error 1.4500259429236049e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998425 y[1] (closed_form) 15.57372334341755 y[1] (numeric) 15.573723343417775 absolute error 2.255973186038318e-13 relative error 1.4485766417520421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998414 y[1] (closed_form) 15.589304856218906 y[1] (numeric) 15.589304856219133 absolute error 2.2737367544323206e-13 relative error 1.4585235040324961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4499999999998403 y[1] (closed_form) 15.604901958326419 y[1] (numeric) 15.604901958326646 absolute error 2.2737367544323206e-13 relative error 1.4570657095471893e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999839 y[1] (closed_form) 15.62051466533719 y[1] (numeric) 15.620514665337417 absolute error 2.2737367544323206e-13 relative error 1.4556093721277134e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999838 y[1] (closed_form) 15.636142992863928 y[1] (numeric) 15.636142992864158 absolute error 2.3092638912203256e-13 relative error 1.4768756542289455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999837 y[1] (closed_form) 15.651786956534963 y[1] (numeric) 15.651786956535194 absolute error 2.3092638912203256e-13 relative error 1.4753995167664593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999836 y[1] (closed_form) 15.667446571994256 y[1] (numeric) 15.667446571994489 absolute error 2.327027459614328e-13 relative error 1.4852627382013333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.499999999999835 y[1] (closed_form) 15.68312185490143 y[1] (numeric) 15.683121854901664 absolute error 2.3447910280083306e-13 relative error 1.495104769128294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998337 y[1] (closed_form) 15.698812820931764 y[1] (numeric) 15.698812820932002 absolute error 2.3803181647963356e-13 relative error 1.5162408724451928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998326 y[1] (closed_form) 15.71451948577623 y[1] (numeric) 15.714519485776469 absolute error 2.398081733190338e-13 relative error 1.5260293102572606e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998315 y[1] (closed_form) 15.730241865141485 y[1] (numeric) 15.73024186514173 absolute error 2.4513724383723456e-13 relative error 1.5583819113453261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998304 y[1] (closed_form) 15.745979974749922 y[1] (numeric) 15.745979974750165 absolute error 2.433608869978343e-13 relative error 1.5455429727974068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5499999999998293 y[1] (closed_form) 15.761733830339644 y[1] (numeric) 15.761733830339887 absolute error 2.433608869978343e-13 relative error 1.54399820233857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999828 y[1] (closed_form) 15.77750344766451 y[1] (numeric) 15.777503447664753 absolute error 2.433608869978343e-13 relative error 1.542454975878064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999827 y[1] (closed_form) 15.793288842494137 y[1] (numeric) 15.793288842494384 absolute error 2.469136006766348e-13 relative error 1.563408376425548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999826 y[1] (closed_form) 15.809090030613923 y[1] (numeric) 15.809090030614174 absolute error 2.504663143554353e-13 relative error 1.5843183502049347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.589999999999825 y[1] (closed_form) 15.824907027825057 y[1] (numeric) 15.82490702782531 absolute error 2.5224267119483557e-13 relative error 1.5939598934219033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.599999999999824 y[1] (closed_form) 15.840739849944539 y[1] (numeric) 15.840739849944791 absolute error 2.5224267119483557e-13 relative error 1.5923667302428346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998227 y[1] (closed_form) 15.856588512805189 y[1] (numeric) 15.856588512805445 absolute error 2.5579538487363607e-13 relative error 1.6131804433662719e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998216 y[1] (closed_form) 15.872453032255676 y[1] (numeric) 15.872453032255933 absolute error 2.575717417130363e-13 relative error 1.6227595141696388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998205 y[1] (closed_form) 15.888333424160518 y[1] (numeric) 15.888333424160773 absolute error 2.5579538487363607e-13 relative error 1.6099573066905938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998194 y[1] (closed_form) 15.904229704400105 y[1] (numeric) 15.904229704400365 absolute error 2.5934809855243657e-13 relative error 1.630686322901163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998183 y[1] (closed_form) 15.920141888870722 y[1] (numeric) 15.920141888870983 absolute error 2.611244553918368e-13 relative error 1.6402143725514208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999817 y[1] (closed_form) 15.936069993484557 y[1] (numeric) 15.936069993484818 absolute error 2.611244553918368e-13 relative error 1.638574978012755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999816 y[1] (closed_form) 15.952014034169713 y[1] (numeric) 15.952014034169975 absolute error 2.6290081223123707e-13 relative error 1.6480728494100828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999815 y[1] (closed_form) 15.96797402687023 y[1] (numeric) 15.967974026870495 absolute error 2.646771690706373e-13 relative error 1.6575500976219638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.689999999999814 y[1] (closed_form) 15.983949987546106 y[1] (numeric) 15.983949987546373 absolute error 2.6645352591003757e-13 relative error 1.6670067543857733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998128 y[1] (closed_form) 15.999941932173304 y[1] (numeric) 15.99994193217357 absolute error 2.6645352591003757e-13 relative error 1.6653405808569997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998117 y[1] (closed_form) 16.015949876743765 y[1] (numeric) 16.015949876744035 absolute error 2.7000623958883807e-13 relative error 1.685858420304532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998106 y[1] (closed_form) 16.03197383726544 y[1] (numeric) 16.031973837265706 absolute error 2.6645352591003757e-13 relative error 1.6620132281571034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998095 y[1] (closed_form) 16.048013829762283 y[1] (numeric) 16.048013829762553 absolute error 2.7000623958883807e-13 relative error 1.6824900729340761e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998084 y[1] (closed_form) 16.0640698702743 y[1] (numeric) 16.064069870274565 absolute error 2.6645352591003757e-13 relative error 1.6586925235123358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998073 y[1] (closed_form) 16.08014197485752 y[1] (numeric) 16.08014197485778 absolute error 2.6290081223123707e-13 relative error 1.6349408645912566e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999806 y[1] (closed_form) 16.096230159584056 y[1] (numeric) 16.096230159584316 absolute error 2.5934809855243657e-13 relative error 1.6112350282094774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999805 y[1] (closed_form) 16.112334440542092 y[1] (numeric) 16.112334440542355 absolute error 2.6290081223123707e-13 relative error 1.6316742505649721e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999804 y[1] (closed_form) 16.128454833835914 y[1] (numeric) 16.128454833836177 absolute error 2.6290081223123707e-13 relative error 1.6300433918796547e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.789999999999803 y[1] (closed_form) 16.144591355585913 y[1] (numeric) 16.144591355586183 absolute error 2.7000623958883807e-13 relative error 1.6724253568388887e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998018 y[1] (closed_form) 16.160744021928615 y[1] (numeric) 16.16074402192888 absolute error 2.6645352591003757e-13 relative error 1.6487701652132174e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998007 y[1] (closed_form) 16.17691284901668 y[1] (numeric) 16.17691284901695 absolute error 2.7000623958883807e-13 relative error 1.669083848747139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999997996 y[1] (closed_form) 16.193097853018948 y[1] (numeric) 16.193097853019218 absolute error 2.7000623958883807e-13 relative error 1.6674155991622052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997985 y[1] (closed_form) 16.209299050120414 y[1] (numeric) 16.209299050120684 absolute error 2.7000623958883807e-13 relative error 1.6657490169930097e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997974 y[1] (closed_form) 16.225516456522286 y[1] (numeric) 16.22551645652256 absolute error 2.7355895326763857e-13 relative error 1.6859799440015615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997963 y[1] (closed_form) 16.241750088441965 y[1] (numeric) 16.241750088442235 absolute error 2.7000623958883807e-13 relative error 1.662420848237169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999795 y[1] (closed_form) 16.257999962113082 y[1] (numeric) 16.25799996211336 absolute error 2.7711166694643907e-13 relative error 1.7044634493308385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999794 y[1] (closed_form) 16.27426609378552 y[1] (numeric) 16.274266093785794 absolute error 2.7355895326763857e-13 relative error 1.6809295834980822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999793 y[1] (closed_form) 16.290548499725407 y[1] (numeric) 16.290548499725684 absolute error 2.7711166694643907e-13 relative error 1.7010579290875936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.889999999999792 y[1] (closed_form) 16.306847196215152 y[1] (numeric) 16.306847196215433 absolute error 2.8066438062523957e-13 relative error 1.7211443588579298e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997907 y[1] (closed_form) 16.32316219955345 y[1] (numeric) 16.323162199553735 absolute error 2.8421709430404007e-13 relative error 1.7411889364905983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997896 y[1] (closed_form) 16.339493526055307 y[1] (numeric) 16.3394935260556 absolute error 2.913225216616411e-13 relative error 1.782934833304912e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997885 y[1] (closed_form) 16.355841192052054 y[1] (numeric) 16.35584119205234 absolute error 2.8421709430404007e-13 relative error 1.7377100386750657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997874 y[1] (closed_form) 16.372205213891355 y[1] (numeric) 16.372205213891636 absolute error 2.8066438062523957e-13 relative error 1.714273532236841e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997863 y[1] (closed_form) 16.388585607937237 y[1] (numeric) 16.38858560793752 absolute error 2.8421709430404007e-13 relative error 1.7342380917020044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997852 y[1] (closed_form) 16.40498239057009 y[1] (numeric) 16.404982390570378 absolute error 2.877698079828406e-13 relative error 1.7541610294458858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999784 y[1] (closed_form) 16.4213955781867 y[1] (numeric) 16.42139557818699 absolute error 2.877698079828406e-13 relative error 1.7524077452046677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999783 y[1] (closed_form) 16.437825187200257 y[1] (numeric) 16.43782518720055 absolute error 2.913225216616411e-13 relative error 1.772269253042592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999782 y[1] (closed_form) 16.454271234040373 y[1] (numeric) 16.454271234040664 absolute error 2.913225216616411e-13 relative error 1.7704978696288717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.989999999999781 y[1] (closed_form) 16.47073373515309 y[1] (numeric) 16.470733735153388 absolute error 2.984279490192421e-13 relative error 1.811867970291539e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997797 y[1] (closed_form) 16.48721270700092 y[1] (numeric) 16.48721270700122 absolute error 2.984279490192421e-13 relative error 1.8100570079533298e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997786 y[1] (closed_form) 16.50370816606283 y[1] (numeric) 16.503708166063127 absolute error 2.984279490192421e-13 relative error 1.80824785567228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997775 y[1] (closed_form) 16.52022012883428 y[1] (numeric) 16.52022012883458 absolute error 3.019806626980426e-13 relative error 1.827945755825418e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997764 y[1] (closed_form) 16.53674861182723 y[1] (numeric) 16.536748611827544 absolute error 3.126388037344441e-13 relative error 1.8905699728109914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997753 y[1] (closed_form) 16.553293631570178 y[1] (numeric) 16.553293631570494 absolute error 3.161915174132446e-13 relative error 1.9101426244877887e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997742 y[1] (closed_form) 16.569855204608135 y[1] (numeric) 16.569855204608444 absolute error 3.090860900556436e-13 relative error 1.8653517863552945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999773 y[1] (closed_form) 16.586433347502677 y[1] (numeric) 16.586433347502982 absolute error 3.055333763768431e-13 relative error 1.8420679719117883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999772 y[1] (closed_form) 16.603028076831947 y[1] (numeric) 16.603028076832253 absolute error 3.055333763768431e-13 relative error 1.840226824666928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999771 y[1] (closed_form) 16.61963940919068 y[1] (numeric) 16.619639409190988 absolute error 3.090860900556436e-13 relative error 1.8597641166914765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.08999999999977 y[1] (closed_form) 16.636267361190203 y[1] (numeric) 16.63626736119052 absolute error 3.161915174132446e-13 relative error 1.9006157484032126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997687 y[1] (closed_form) 16.652911949458478 y[1] (numeric) 16.652911949458794 absolute error 3.161915174132446e-13 relative error 1.8987160826459935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997676 y[1] (closed_form) 16.66957319064009 y[1] (numeric) 16.66957319064041 absolute error 3.197442310920451e-13 relative error 1.918130880948892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997665 y[1] (closed_form) 16.68625110139628 y[1] (numeric) 16.6862511013966 absolute error 3.197442310920451e-13 relative error 1.916213708813775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997654 y[1] (closed_form) 16.702945698404964 y[1] (numeric) 16.70294569840528 absolute error 3.161915174132446e-13 relative error 1.89302847008261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997643 y[1] (closed_form) 16.719656998360733 y[1] (numeric) 16.719656998361053 absolute error 3.197442310920451e-13 relative error 1.9123851112698912e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999763 y[1] (closed_form) 16.7363850179749 y[1] (numeric) 16.736385017975216 absolute error 3.161915174132446e-13 relative error 1.889246196676609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999762 y[1] (closed_form) 16.753129773975477 y[1] (numeric) 16.7531297739758 absolute error 3.232969447708456e-13 relative error 1.9297704317497684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999761 y[1] (closed_form) 16.769891283107224 y[1] (numeric) 16.76989128310755 absolute error 3.268496584496461e-13 relative error 1.9490266986935736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.17999999999976 y[1] (closed_form) 16.78666956213165 y[1] (numeric) 16.786669562131976 absolute error 3.268496584496461e-13 relative error 1.9470786461834733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.189999999999759 y[1] (closed_form) 16.80346462782704 y[1] (numeric) 16.803464627827367 absolute error 3.268496584496461e-13 relative error 1.9451325407521806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997577 y[1] (closed_form) 16.82027649698846 y[1] (numeric) 16.820276496988782 absolute error 3.232969447708456e-13 relative error 1.922066767622574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997566 y[1] (closed_form) 16.83710518642777 y[1] (numeric) 16.8371051864281 absolute error 3.304023721284466e-13 relative error 1.962346665119018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997555 y[1] (closed_form) 16.853950712973678 y[1] (numeric) 16.853950712974 absolute error 3.232969447708456e-13 relative error 1.9182264756593898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997544 y[1] (closed_form) 16.8708130934717 y[1] (numeric) 16.870813093472023 absolute error 3.232969447708456e-13 relative error 1.916309207977344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997533 y[1] (closed_form) 16.88769234478422 y[1] (numeric) 16.887692344784554 absolute error 3.339550858072471e-13 relative error 1.9775057419872376e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999752 y[1] (closed_form) 16.904588483790494 y[1] (numeric) 16.904588483790832 absolute error 3.375077994860476e-13 relative error 1.996545493016158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999751 y[1] (closed_form) 16.921501527386663 y[1] (numeric) 16.921501527387 absolute error 3.375077994860476e-13 relative error 1.994549945463214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.26999999999975 y[1] (closed_form) 16.938431492485766 y[1] (numeric) 16.93843149248611 absolute error 3.446132268436486e-13 relative error 2.0345049480911267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999749 y[1] (closed_form) 16.95537839601777 y[1] (numeric) 16.95537839601812 absolute error 3.481659405224491e-13 relative error 2.053424774077712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.289999999999748 y[1] (closed_form) 16.97234225492959 y[1] (numeric) 16.972342254929938 absolute error 3.481659405224491e-13 relative error 2.051372375673869e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997467 y[1] (closed_form) 16.989323086185077 y[1] (numeric) 16.989323086185426 absolute error 3.481659405224491e-13 relative error 2.0493220286425734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997456 y[1] (closed_form) 17.006320906765065 y[1] (numeric) 17.006320906765414 absolute error 3.481659405224491e-13 relative error 2.047273730933477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997445 y[1] (closed_form) 17.023335733667377 y[1] (numeric) 17.02333573366773 absolute error 3.517186542012496e-13 relative error 2.0660971486666323e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997434 y[1] (closed_form) 17.040367583906843 y[1] (numeric) 17.040367583907194 absolute error 3.517186542012496e-13 relative error 2.0640320842222767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997423 y[1] (closed_form) 17.05741647451531 y[1] (numeric) 17.05741647451566 absolute error 3.481659405224491e-13 relative error 2.0411411132666403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999741 y[1] (closed_form) 17.074482422541674 y[1] (numeric) 17.074482422542026 absolute error 3.517186542012496e-13 relative error 2.0599081453673338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.35999999999974 y[1] (closed_form) 17.091565445051884 y[1] (numeric) 17.091565445052236 absolute error 3.517186542012496e-13 relative error 2.057849266832807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999739 y[1] (closed_form) 17.108665559128966 y[1] (numeric) 17.108665559129317 absolute error 3.517186542012496e-13 relative error 2.0557924461477184e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.379999999999738 y[1] (closed_form) 17.125782781873028 y[1] (numeric) 17.125782781873387 absolute error 3.588240815588506e-13 relative error 2.0952273313816163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.389999999999737 y[1] (closed_form) 17.1429171304013 y[1] (numeric) 17.142917130401663 absolute error 3.623767952376511e-13 relative error 2.1138572419218604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997357 y[1] (closed_form) 17.160068621848133 y[1] (numeric) 17.160068621848495 absolute error 3.623767952376511e-13 relative error 2.1117444412563384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997346 y[1] (closed_form) 17.177237273365016 y[1] (numeric) 17.177237273365378 absolute error 3.623767952376511e-13 relative error 2.1096337523354337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997335 y[1] (closed_form) 17.194423102120602 y[1] (numeric) 17.194423102120975 absolute error 3.730349362740526e-13 relative error 2.1695112075498822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997324 y[1] (closed_form) 17.21162612530073 y[1] (numeric) 17.211626125301105 absolute error 3.765876499528531e-13 relative error 2.1879841405529787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997313 y[1] (closed_form) 17.22884636010841 y[1] (numeric) 17.228846360108786 absolute error 3.765876499528531e-13 relative error 2.1857972500399234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.44999999999973 y[1] (closed_form) 17.24608382376389 y[1] (numeric) 17.246083823764263 absolute error 3.730349362740526e-13 relative error 2.1630124269721842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999729 y[1] (closed_form) 17.26333853350463 y[1] (numeric) 17.263338533505003 absolute error 3.730349362740526e-13 relative error 2.1608504956910137e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999728 y[1] (closed_form) 17.28061050658534 y[1] (numeric) 17.28061050658572 absolute error 3.801403636316536e-13 relative error 2.1998086438369104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.479999999999727 y[1] (closed_form) 17.297899760278 y[1] (numeric) 17.297899760278383 absolute error 3.836930773104541e-13 relative error 2.2181483453358133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997258 y[1] (closed_form) 17.31520631187186 y[1] (numeric) 17.315206311872245 absolute error 3.836930773104541e-13 relative error 2.2159313056950515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997247 y[1] (closed_form) 17.332530178673476 y[1] (numeric) 17.332530178673853 absolute error 3.765876499528531e-13 relative error 2.1727217323193766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997236 y[1] (closed_form) 17.349871378006714 y[1] (numeric) 17.349871378007094 absolute error 3.801403636316536e-13 relative error 2.1910269842895344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997225 y[1] (closed_form) 17.367229927212776 y[1] (numeric) 17.367229927213163 absolute error 3.872457909892546e-13 relative error 2.2297498945555948e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997214 y[1] (closed_form) 17.384605843650213 y[1] (numeric) 17.384605843650597 absolute error 3.836930773104541e-13 relative error 2.207085284309735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997203 y[1] (closed_form) 17.40199914469494 y[1] (numeric) 17.401999144695335 absolute error 3.943512183468556e-13 relative error 2.266125949483654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999719 y[1] (closed_form) 17.419409847740265 y[1] (numeric) 17.41940984774066 absolute error 3.943512183468556e-13 relative error 2.263860956219552e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999718 y[1] (closed_form) 17.436837970196887 y[1] (numeric) 17.436837970197285 absolute error 3.979039320256561e-13 relative error 2.2819729856167447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999717 y[1] (closed_form) 17.454283529492937 y[1] (numeric) 17.454283529493335 absolute error 3.979039320256561e-13 relative error 2.279692153237387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.579999999999716 y[1] (closed_form) 17.471746543073966 y[1] (numeric) 17.471746543074367 absolute error 4.014566457044566e-13 relative error 2.297747650555287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997148 y[1] (closed_form) 17.489227028402997 y[1] (numeric) 17.4892270284034 absolute error 4.014566457044566e-13 relative error 2.2954510513956945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997137 y[1] (closed_form) 17.50672500296051 y[1] (numeric) 17.506725002960913 absolute error 4.014566457044566e-13 relative error 2.2931567476873456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997125 y[1] (closed_form) 17.524240484244487 y[1] (numeric) 17.52424048424489 absolute error 4.014566457044566e-13 relative error 2.2908647371359352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997114 y[1] (closed_form) 17.54177348977041 y[1] (numeric) 17.54177348977081 absolute error 4.014566457044566e-13 relative error 2.2885750174494524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997103 y[1] (closed_form) 17.55932403707128 y[1] (numeric) 17.559324037071693 absolute error 4.121147867408581e-13 relative error 2.346985486860431e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997092 y[1] (closed_form) 17.576892143697656 y[1] (numeric) 17.576892143698064 absolute error 4.085620730620576e-13 relative error 2.324427263488392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999708 y[1] (closed_form) 17.594477827217638 y[1] (numeric) 17.594477827218043 absolute error 4.050093593832571e-13 relative error 2.3019117893725217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999707 y[1] (closed_form) 17.612081105216916 y[1] (numeric) 17.61208110521732 absolute error 4.050093593832571e-13 relative error 2.2996110281554876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999706 y[1] (closed_form) 17.629701995298763 y[1] (numeric) 17.629701995299172 absolute error 4.085620730620576e-13 relative error 2.317464431168531e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.679999999999705 y[1] (closed_form) 17.647340515084075 y[1] (numeric) 17.647340515084483 absolute error 4.085620730620576e-13 relative error 2.3151481250834305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997037 y[1] (closed_form) 17.664996682211374 y[1] (numeric) 17.66499668221179 absolute error 4.156675004196586e-13 relative error 2.3530573364796337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997026 y[1] (closed_form) 17.682670514336827 y[1] (numeric) 17.682670514337243 absolute error 4.156675004196586e-13 relative error 2.3507054552797444e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997015 y[1] (closed_form) 17.70036202913427 y[1] (numeric) 17.70036202913468 absolute error 4.121147867408581e-13 relative error 2.328284506624946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997004 y[1] (closed_form) 17.718071244295214 y[1] (numeric) 17.718071244295626 absolute error 4.121147867408581e-13 relative error 2.3259573858726244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999996993 y[1] (closed_form) 17.735798177528878 y[1] (numeric) 17.735798177529297 absolute error 4.192202140984591e-13 relative error 2.3636952219585354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996982 y[1] (closed_form) 17.753542846562198 y[1] (numeric) 17.75354284656262 absolute error 4.227729277772596e-13 relative error 2.381344002327544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999697 y[1] (closed_form) 17.771305269139845 y[1] (numeric) 17.771305269140267 absolute error 4.227729277772596e-13 relative error 2.3789638486004266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999696 y[1] (closed_form) 17.789085463024243 y[1] (numeric) 17.789085463024662 absolute error 4.192202140984591e-13 relative error 2.3566147622925036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999695 y[1] (closed_form) 17.806883445995588 y[1] (numeric) 17.806883445996007 absolute error 4.192202140984591e-13 relative error 2.3542593254449215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.779999999999694 y[1] (closed_form) 17.82469923585186 y[1] (numeric) 17.824699235852286 absolute error 4.263256414560601e-13 relative error 2.3917690605324014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996927 y[1] (closed_form) 17.84253285040885 y[1] (numeric) 17.84253285040928 absolute error 4.298783551348606e-13 relative error 2.4092899743491867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996916 y[1] (closed_form) 17.860384307500183 y[1] (numeric) 17.860384307500613 absolute error 4.298783551348606e-13 relative error 2.4068818886183767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996905 y[1] (closed_form) 17.87825362497731 y[1] (numeric) 17.87825362497774 absolute error 4.298783551348606e-13 relative error 2.4044762097696562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996894 y[1] (closed_form) 17.89614082070955 y[1] (numeric) 17.896140820709984 absolute error 4.334310688136611e-13 relative error 2.4219247778386465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996883 y[1] (closed_form) 17.914045912584108 y[1] (numeric) 17.914045912584537 absolute error 4.298783551348606e-13 relative error 2.3996720630981707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999687 y[1] (closed_form) 17.931968918506065 y[1] (numeric) 17.931968918506506 absolute error 4.405364961712621e-13 relative error 2.4567101257721998e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999686 y[1] (closed_form) 17.94990985639844 y[1] (numeric) 17.949909856398875 absolute error 4.369837824924616e-13 relative error 2.4344622674341402e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999685 y[1] (closed_form) 17.967868744202164 y[1] (numeric) 17.9678687442026 absolute error 4.369837824924616e-13 relative error 2.4320290219921975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999684 y[1] (closed_form) 17.98584559987613 y[1] (numeric) 17.985845599876573 absolute error 4.440892098500626e-13 relative error 2.4691038705076013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.879999999999683 y[1] (closed_form) 18.00384044139719 y[1] (numeric) 18.003840441397635 absolute error 4.440892098500626e-13 relative error 2.466636000777615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996817 y[1] (closed_form) 18.021853286760198 y[1] (numeric) 18.021853286760646 absolute error 4.476419235288631e-13 relative error 2.4838839624653056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996806 y[1] (closed_form) 18.039884153977994 y[1] (numeric) 18.03988415397845 absolute error 4.547473508864641e-13 relative error 2.5207886425711182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996795 y[1] (closed_form) 18.057933061081446 y[1] (numeric) 18.057933061081904 absolute error 4.583000645652646e-13 relative error 2.5379430913552083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996784 y[1] (closed_form) 18.076000026119466 y[1] (numeric) 18.076000026119928 absolute error 4.618527782440651e-13 relative error 2.555060730121138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996773 y[1] (closed_form) 18.094085067159014 y[1] (numeric) 18.09408506715948 absolute error 4.654054919228656e-13 relative error 2.572141615314843e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999676 y[1] (closed_form) 18.11218820228514 y[1] (numeric) 18.112188202285616 absolute error 4.760636329592671e-13 relative error 2.6284158912350754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999675 y[1] (closed_form) 18.130309449600976 y[1] (numeric) 18.130309449601448 absolute error 4.725109192804666e-13 relative error 2.6061933503890965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999674 y[1] (closed_form) 18.148448827227774 y[1] (numeric) 18.148448827228247 absolute error 4.725109192804666e-13 relative error 2.603588459701126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999673 y[1] (closed_form) 18.166606353304914 y[1] (numeric) 18.166606353305387 absolute error 4.725109192804666e-13 relative error 2.6009861726018314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.979999999999672 y[1] (closed_form) 18.184782045989916 y[1] (numeric) 18.184782045990392 absolute error 4.760636329592671e-13 relative error 2.617923226988844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996707 y[1] (closed_form) 18.20297592345848 y[1] (numeric) 18.20297592345896 absolute error 4.796163466380676e-13 relative error 2.634823825811789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996696 y[1] (closed_form) 18.22118800390449 y[1] (numeric) 18.221188003904967 absolute error 4.760636329592671e-13 relative error 2.6126926128925006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y[1] (closed_form) 18.239418305540024 y[1] (numeric) 18.239418305540497 absolute error 4.725109192804666e-13 relative error 2.5906030080846743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y[1] (closed_form) 18.257666846595384 y[1] (numeric) 18.257666846595853 absolute error 4.689582056016661e-13 relative error 2.5685549503227766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y[1] (closed_form) 18.275933645319117 y[1] (numeric) 18.275933645319583 absolute error 4.654054919228656e-13 relative error 2.546548378621776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y[1] (closed_form) 18.294218719978016 y[1] (numeric) 18.29421871997848 absolute error 4.654054919228656e-13 relative error 2.544003103093024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y[1] (closed_form) 18.312522088857158 y[1] (numeric) 18.312522088857616 absolute error 4.583000645652646e-13 relative error 2.5026594498642655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y[1] (closed_form) 18.330843770259918 y[1] (numeric) 18.330843770260365 absolute error 4.476419235288631e-13 relative error 2.442014831063698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y[1] (closed_form) 18.34918378250797 y[1] (numeric) 18.349183782508412 absolute error 4.405364961712621e-13 relative error 2.4008506394230986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y[1] (closed_form) 18.36754214394134 y[1] (numeric) 18.367542143941773 absolute error 4.334310688136611e-13 relative error 2.359766295441066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y[1] (closed_form) 18.38591887291838 y[1] (numeric) 18.385918872918808 absolute error 4.263256414560601e-13 relative error 2.318761680625157e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y[1] (closed_form) 18.40431398781583 y[1] (numeric) 18.404313987816245 absolute error 4.156675004196586e-13 relative error 2.258532975990532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y[1] (closed_form) 18.422727507028796 y[1] (numeric) 18.422727507029208 absolute error 4.121147867408581e-13 relative error 2.236991165307225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y[1] (closed_form) 18.441159448970808 y[1] (numeric) 18.44115944897121 absolute error 4.014566457044566e-13 relative error 2.1769598967751548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y[1] (closed_form) 18.459609832073806 y[1] (numeric) 18.4596098320742 absolute error 3.943512183468556e-13 relative error 2.136292272340802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y[1] (closed_form) 18.478078674788172 y[1] (numeric) 18.478078674788556 absolute error 3.836930773104541e-13 relative error 2.0764771276462413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y[1] (closed_form) 18.496565995582753 y[1] (numeric) 18.496565995583133 absolute error 3.801403636316536e-13 relative error 2.055194265370321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y[1] (closed_form) 18.51507181294487 y[1] (numeric) 18.515071812945248 absolute error 3.765876499528531e-13 relative error 2.0339518731413216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y[1] (closed_form) 18.533596145380347 y[1] (numeric) 18.533596145380713 absolute error 3.659295089164516e-13 relative error 1.9744117981531748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y[1] (closed_form) 18.552139011413512 y[1] (numeric) 18.55213901141387 absolute error 3.588240815588506e-13 relative error 1.9341385989944203e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y[1] (closed_form) 18.570700429587234 y[1] (numeric) 18.570700429587585 absolute error 3.517186542012496e-13 relative error 1.8939439335356676e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y[1] (closed_form) 18.589280418462934 y[1] (numeric) 18.58928041846328 absolute error 3.446132268436486e-13 relative error 1.853827685020974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y[1] (closed_form) 18.6078789966206 y[1] (numeric) 18.607878996620936 absolute error 3.375077994860476e-13 relative error 1.8137897368493358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y[1] (closed_form) 18.626496182658812 y[1] (numeric) 18.62649618265914 absolute error 3.268496584496461e-13 relative error 1.75475653200918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y[1] (closed_form) 18.64513199519476 y[1] (numeric) 18.645131995195083 absolute error 3.232969447708456e-13 relative error 1.7339482759047562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y[1] (closed_form) 18.663786452864258 y[1] (numeric) 18.663786452864574 absolute error 3.161915174132446e-13 relative error 1.6941445307027712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y[1] (closed_form) 18.682459574321765 y[1] (numeric) 18.68245957432207 absolute error 3.055333763768431e-13 relative error 1.6354023149970335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y[1] (closed_form) 18.7011513782404 y[1] (numeric) 18.701151378240706 absolute error 3.055333763768431e-13 relative error 1.6337677301106947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y[1] (closed_form) 18.719861883311975 y[1] (numeric) 18.71986188331227 absolute error 2.948752353404416e-13 relative error 1.5751998448413304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y[1] (closed_form) 18.738591108246993 y[1] (numeric) 18.73859110824728 absolute error 2.877698079828406e-13 relative error 1.5357067472174626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y[1] (closed_form) 18.75733907177468 y[1] (numeric) 18.757339071774958 absolute error 2.7711166694643907e-13 relative error 1.4773506299911484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y[1] (closed_form) 18.776105792643 y[1] (numeric) 18.77610579264327 absolute error 2.7000623958883807e-13 relative error 1.4380310942572234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y[1] (closed_form) 18.79489128961868 y[1] (numeric) 18.794891289618942 absolute error 2.6290081223123707e-13 relative error 1.398788682414193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y[1] (closed_form) 18.813695581487213 y[1] (numeric) 18.813695581487472 absolute error 2.5934809855243657e-13 relative error 1.3785069362323298e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y[1] (closed_form) 18.832518687052897 y[1] (numeric) 18.832518687053145 absolute error 2.4868995751603507e-13 relative error 1.3205347709916574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y[1] (closed_form) 18.851360625138838 y[1] (numeric) 18.851360625139076 absolute error 2.3803181647963356e-13 relative error 1.2626771149993874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y[1] (closed_form) 18.870221414586975 y[1] (numeric) 18.870221414587206 absolute error 2.3092638912203256e-13 relative error 1.2237608878479976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y[1] (closed_form) 18.8891010742581 y[1] (numeric) 18.889101074258324 absolute error 2.2382096176443156e-13 relative error 1.1849211928324782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y[1] (closed_form) 18.907999623031873 y[1] (numeric) 18.907999623032087 absolute error 2.1316282072803006e-13 relative error 1.1273684418121945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y[1] (closed_form) 18.92691707980684 y[1] (numeric) 18.92691707980705 absolute error 2.0961010704922955e-13 relative error 1.107470942918976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y[1] (closed_form) 18.94585346350047 y[1] (numeric) 18.945853463500676 absolute error 2.0605739337042905e-13 relative error 1.0876120928909451e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y[1] (closed_form) 18.96480879304914 y[1] (numeric) 18.964808793049336 absolute error 1.9539925233402755e-13 relative error 1.0303254541941073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y[1] (closed_form) 18.983783087408185 y[1] (numeric) 18.983783087408376 absolute error 1.9184653865522705e-13 relative error 1.010581177481308e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y[1] (closed_form) 19.0027763655519 y[1] (numeric) 19.002776365552087 absolute error 1.8829382497642655e-13 relative error 9.90875340288508e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y[1] (closed_form) 19.02178864647356 y[1] (numeric) 19.021788646473745 absolute error 1.8474111129762605e-13 relative error 9.712078854996378e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y[1] (closed_form) 19.040819949185455 y[1] (numeric) 19.04081994918563 absolute error 1.7408297026122455e-13 relative error 9.142619421107e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y[1] (closed_form) 19.059870292718884 y[1] (numeric) 19.05987029271905 absolute error 1.6697754290362354e-13 relative error 8.760686213452938e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y[1] (closed_form) 19.078939696124195 y[1] (numeric) 19.07893969612436 absolute error 1.6342482922482304e-13 relative error 8.565718631524481e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y[1] (closed_form) 19.09802817847079 y[1] (numeric) 19.09802817847095 absolute error 1.5987211554602254e-13 relative error 8.371132037926638e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y[1] (closed_form) 19.11713575884716 y[1] (numeric) 19.11713575884731 absolute error 1.5276668818842154e-13 relative error 7.991086641612781e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y[1] (closed_form) 19.13626245636088 y[1] (numeric) 19.13626245636102 absolute error 1.4210854715202004e-13 relative error 7.426139115519042e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y[1] (closed_form) 19.15540829013865 y[1] (numeric) 19.15540829013878 absolute error 1.3145040611561853e-13 relative error 6.862312936618021e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y[1] (closed_form) 19.174573279326307 y[1] (numeric) 19.174573279326427 absolute error 1.2079226507921703e-13 relative error 6.299606427719211e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y[1] (closed_form) 19.19375744308884 y[1] (numeric) 19.193757443088955 absolute error 1.1723955140041653e-13 relative error 6.108212617984884e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y[1] (closed_form) 19.212960800610414 y[1] (numeric) 19.212960800610524 absolute error 1.1013412404281553e-13 relative error 5.732282764003581e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y[1] (closed_form) 19.232183371094393 y[1] (numeric) 19.232183371094493 absolute error 9.947598300641403e-14 relative error 5.172370764513641e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y[1] (closed_form) 19.251425173763344 y[1] (numeric) 19.251425173763437 absolute error 9.237055564881302e-14 relative error 4.798115194853186e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y[1] (closed_form) 19.270686227859073 y[1] (numeric) 19.27068622785916 absolute error 8.526512829121202e-14 relative error 4.4246025949997926e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y[1] (closed_form) 19.28996655264264 y[1] (numeric) 19.289966552642714 absolute error 7.460698725481052e-14 relative error 3.8676576784727343e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y[1] (closed_form) 19.309266167394362 y[1] (numeric) 19.30926616739443 absolute error 6.750155989720952e-14 relative error 3.495811767885446e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y[1] (closed_form) 19.32858509141386 y[1] (numeric) 19.328585091413924 absolute error 6.394884621840902e-14 relative error 3.3085115085230093e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y[1] (closed_form) 19.347923344020064 y[1] (numeric) 19.347923344020124 absolute error 6.039613253960852e-14 relative error 3.1215821701234606e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y[1] (closed_form) 19.367280944551226 y[1] (numeric) 19.36728094455128 absolute error 5.3290705182007514e-14 relative error 2.7515842484331946e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y[1] (closed_form) 19.38665791236494 y[1] (numeric) 19.386657912364996 absolute error 5.684341886080802e-14 relative error 2.9320896421529625e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y[1] (closed_form) 19.406054266838186 y[1] (numeric) 19.406054266838233 absolute error 4.618527782440651e-14 relative error 2.3799417021794944e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y[1] (closed_form) 19.425470027367314 y[1] (numeric) 19.425470027367357 absolute error 4.263256414560601e-14 relative error 2.19467349235533e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y[1] (closed_form) 19.44490521336809 y[1] (numeric) 19.44490521336813 absolute error 3.907985046680551e-14 relative error 2.0097732561811964e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y[1] (closed_form) 19.4643598442757 y[1] (numeric) 19.464359844275737 absolute error 3.552713678800501e-14 relative error 1.8252404431606945e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y[1] (closed_form) 19.483833939544773 y[1] (numeric) 19.4838339395448 absolute error 2.842170943040401e-14 relative error 1.4587328920268997e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y[1] (closed_form) 19.503327518649414 y[1] (numeric) 19.503327518649435 absolute error 2.1316282072803006e-14 relative error 1.0929561661936925e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y[1] (closed_form) 19.522840601083196 y[1] (numeric) 19.522840601083207 absolute error 1.0658141036401503e-14 relative error 5.459318781617339e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y[1] (closed_form) 19.54237320635921 y[1] (numeric) 19.54237320635921 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y[1] (closed_form) 19.561925354010054 y[1] (numeric) 19.56192535401005 absolute error 3.552713678800501e-15 relative error 1.81613701847207e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y[1] (closed_form) 19.581497063587882 y[1] (numeric) 19.58149706358787 absolute error 1.0658141036401503e-14 relative error 5.442965367658478e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y[1] (closed_form) 19.601088354664405 y[1] (numeric) 19.601088354664387 absolute error 1.7763568394002505e-14 relative error 9.06254187144428e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y[1] (closed_form) 19.62069924683092 y[1] (numeric) 19.62069924683089 absolute error 3.197442310920451e-14 relative error 1.62962709468007e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y[1] (closed_form) 19.640329759698318 y[1] (numeric) 19.64032975969828 absolute error 3.907985046680551e-14 relative error 1.989775678155711e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y[1] (closed_form) 19.659979912897107 y[1] (numeric) 19.659979912897064 absolute error 4.263256414560601e-14 relative error 2.168494796764197e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y[1] (closed_form) 19.67964972607745 y[1] (numeric) 19.6796497260774 absolute error 4.973799150320701e-14 relative error 2.5273819501624227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y[1] (closed_form) 19.69933921890916 y[1] (numeric) 19.699339218909106 absolute error 5.3290705182007514e-14 relative error 2.7052026765879746e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y[1] (closed_form) 19.71904841108173 y[1] (numeric) 19.719048411081666 absolute error 6.394884621840902e-14 relative error 3.242998591274363e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y[1] (closed_form) 19.73877732230435 y[1] (numeric) 19.73877732230428 absolute error 7.105427357601002e-14 relative error 3.599730237380021e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y[1] (closed_form) 19.758525972305943 y[1] (numeric) 19.758525972305865 absolute error 7.815970093361102e-14 relative error 3.9557455370487487e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y[1] (closed_form) 19.778294380835153 y[1] (numeric) 19.77829438083507 absolute error 8.171241461241152e-14 relative error 4.1314186673037655e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y[1] (closed_form) 19.79808256766039 y[1] (numeric) 19.7980825676603 absolute error 9.237055564881302e-14 relative error 4.665631398047492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y[1] (closed_form) 19.81789055256985 y[1] (numeric) 19.81789055256975 absolute error 9.947598300641403e-14 relative error 5.019504106279095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y[1] (closed_form) 19.837718355371507 y[1] (numeric) 19.837718355371404 absolute error 1.0302869668521453e-13 relative error 5.19357593648451e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y[1] (closed_form) 19.85756599589318 y[1] (numeric) 19.85756599589307 absolute error 1.1013412404281553e-13 relative error 5.546204608640999e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y[1] (closed_form) 19.877433493982497 y[1] (numeric) 19.877433493982384 absolute error 1.1368683772161603e-13 relative error 5.719392181894734e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y[1] (closed_form) 19.897320869506967 y[1] (numeric) 19.89732086950685 absolute error 1.1723955140041653e-13 relative error 5.892228012470183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y[1] (closed_form) 19.917228142353963 y[1] (numeric) 19.91722814235384 absolute error 1.2434497875801753e-13 relative error 6.243086531383254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y[1] (closed_form) 19.937155332430766 y[1] (numeric) 19.937155332430635 absolute error 1.3145040611561853e-13 relative error 6.593237797660872e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y[1] (closed_form) 19.957102459664558 y[1] (numeric) 19.957102459664423 absolute error 1.3500311979441904e-13 relative error 6.76466536498847e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y[1] (closed_form) 19.977069544002475 y[1] (numeric) 19.977069544002337 absolute error 1.3855583347321954e-13 relative error 6.935743661903447e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y[1] (closed_form) 19.9970566054116 y[1] (numeric) 19.997056605411462 absolute error 1.3855583347321954e-13 relative error 6.928811384957703e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9399999999999835 y[1] (closed_form) 20.017063663878996 y[1] (numeric) 20.017063663878854 absolute error 1.4210854715202004e-13 relative error 7.099370294178383e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y[1] (closed_form) 20.037090739411724 y[1] (numeric) 20.03709073941157 absolute error 1.5276668818842154e-13 relative error 7.624195057815398e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y[1] (closed_form) 20.057137852036867 y[1] (numeric) 20.0571378520367 absolute error 1.6697754290362354e-13 relative error 8.325093247871677e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y[1] (closed_form) 20.077205021801525 y[1] (numeric) 20.077205021801344 absolute error 1.8118839761882555e-13 relative error 9.024582725637153e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y[1] (closed_form) 20.097292268772883 y[1] (numeric) 20.09729226877269 absolute error 1.9184653865522705e-13 relative error 9.545889868622634e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.99 y[1] (closed_form) 20.11739961303818 y[1] (numeric) 20.117399613037986 absolute error 1.9539925233402755e-13 relative error 9.712947801036292e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0000000000000036 y[1] (closed_form) 20.137527074704774 y[1] (numeric) 20.13752707470457 absolute error 2.0605739337042905e-13 relative error 1.0232507328532044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.010000000000007 y[1] (closed_form) 20.157674673900114 y[1] (numeric) 20.1576746738999 absolute error 2.1316282072803006e-13 relative error 1.0574772347329844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.02000000000001 y[1] (closed_form) 20.17784243077181 y[1] (numeric) 20.17784243077159 absolute error 2.2026824808563106e-13 relative error 1.0916342955960217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.030000000000014 y[1] (closed_form) 20.19803036548762 y[1] (numeric) 20.198030365487394 absolute error 2.2737367544323206e-13 relative error 1.125722020062637e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.040000000000017 y[1] (closed_form) 20.21823849823548 y[1] (numeric) 20.21823849823525 absolute error 2.2737367544323206e-13 relative error 1.1245968607160104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.05000000000002 y[1] (closed_form) 20.23846684922352 y[1] (numeric) 20.238466849223286 absolute error 2.3447910280083306e-13 relative error 1.1585813517777865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.060000000000024 y[1] (closed_form) 20.258715438680092 y[1] (numeric) 20.258715438679854 absolute error 2.3803181647963356e-13 relative error 1.1749600669406607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.070000000000027 y[1] (closed_form) 20.278984286853795 y[1] (numeric) 20.278984286853547 absolute error 2.4868995751603507e-13 relative error 1.2263432625531085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.08000000000003 y[1] (closed_form) 20.299273414013477 y[1] (numeric) 20.299273414013218 absolute error 2.5934809855243657e-13 relative error 1.2776225693546115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.090000000000034 y[1] (closed_form) 20.319582840448263 y[1] (numeric) 20.319582840447996 absolute error 2.6645352591003757e-13 relative error 1.3113139575859493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.100000000000037 y[1] (closed_form) 20.33991258646758 y[1] (numeric) 20.339912586467303 absolute error 2.7711166694643907e-13 relative error 1.3624034310295179e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.11000000000004 y[1] (closed_form) 20.36026267240118 y[1] (numeric) 20.360262672400893 absolute error 2.877698079828406e-13 relative error 1.413389466595239e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.120000000000044 y[1] (closed_form) 20.380633118599153 y[1] (numeric) 20.38063311859886 absolute error 2.948752353404416e-13 relative error 1.4468404078739906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.130000000000047 y[1] (closed_form) 20.401023945431938 y[1] (numeric) 20.40102394543164 absolute error 2.984279490192421e-13 relative error 1.4628086796891588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.14000000000005 y[1] (closed_form) 20.421435173290373 y[1] (numeric) 20.421435173290064 absolute error 3.090860900556436e-13 relative error 1.5135375522475707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.150000000000054 y[1] (closed_form) 20.44186682258568 y[1] (numeric) 20.441866822585364 absolute error 3.161915174132446e-13 relative error 1.5467839613547081e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.160000000000057 y[1] (closed_form) 20.462318913749513 y[1] (numeric) 20.46231891374919 absolute error 3.232969447708456e-13 relative error 1.5799623988540637e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.17000000000006 y[1] (closed_form) 20.482791467233966 y[1] (numeric) 20.482791467233636 absolute error 3.304023721284466e-13 relative error 1.613072967407722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.180000000000064 y[1] (closed_form) 20.503284503511594 y[1] (numeric) 20.503284503511257 absolute error 3.375077994860476e-13 relative error 1.6461157695404495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.190000000000067 y[1] (closed_form) 20.52379804307543 y[1] (numeric) 20.52379804307509 absolute error 3.410605131648481e-13 relative error 1.6617806920971883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.20000000000007 y[1] (closed_form) 20.544332106439022 y[1] (numeric) 20.544332106438677 absolute error 3.446132268436486e-13 relative error 1.6774126559979023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.210000000000074 y[1] (closed_form) 20.56488671413643 y[1] (numeric) 20.564886714136076 absolute error 3.552713678800501e-13 relative error 1.7275629708956012e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.220000000000077 y[1] (closed_form) 20.585461886722275 y[1] (numeric) 20.58546188672191 absolute error 3.659295089164516e-13 relative error 1.7776113595608848e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.23000000000008 y[1] (closed_form) 20.60605764477171 y[1] (numeric) 20.606057644771347 absolute error 3.623767952376511e-13 relative error 1.7585935237330343e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.240000000000084 y[1] (closed_form) 20.626674008880514 y[1] (numeric) 20.626674008880137 absolute error 3.765876499528531e-13 relative error 1.8257313311429596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.250000000000087 y[1] (closed_form) 20.647310999665045 y[1] (numeric) 20.647310999664658 absolute error 3.872457909892546e-13 relative error 1.875526508006475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.26000000000009 y[1] (closed_form) 20.667968637762296 y[1] (numeric) 20.667968637761902 absolute error 3.943512183468556e-13 relative error 1.908030853241858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.270000000000094 y[1] (closed_form) 20.68864694382991 y[1] (numeric) 20.688646943829507 absolute error 4.014566457044566e-13 relative error 1.9404683486282086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.280000000000097 y[1] (closed_form) 20.709345938546186 y[1] (numeric) 20.70934593854578 absolute error 4.050093593832571e-13 relative error 1.9556839727584806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.2900000000001 y[1] (closed_form) 20.73006564261013 y[1] (numeric) 20.73006564260972 absolute error 4.085620730620576e-13 relative error 1.9708672423220337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.300000000000104 y[1] (closed_form) 20.75080607674144 y[1] (numeric) 20.750806076741025 absolute error 4.156675004196586e-13 relative error 2.003139053405544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.310000000000107 y[1] (closed_form) 20.771567261680563 y[1] (numeric) 20.771567261680136 absolute error 4.263256414560601e-13 relative error 2.052448118551683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.32000000000011 y[1] (closed_form) 20.792349218188676 y[1] (numeric) 20.79234921818824 absolute error 4.369837824924616e-13 relative error 2.101656613723081e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.330000000000114 y[1] (closed_form) 20.813151967047737 y[1] (numeric) 20.813151967047286 absolute error 4.511946372076636e-13 relative error 2.1678342517366618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.340000000000117 y[1] (closed_form) 20.8339755290605 y[1] (numeric) 20.833975529060044 absolute error 4.547473508864641e-13 relative error 2.182720001049031e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.35000000000012 y[1] (closed_form) 20.854819925050528 y[1] (numeric) 20.854819925050066 absolute error 4.618527782440651e-13 relative error 2.214609284107478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.360000000000124 y[1] (closed_form) 20.875685175862223 y[1] (numeric) 20.875685175861747 absolute error 4.760636329592671e-13 relative error 2.2804694981208173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.370000000000127 y[1] (closed_form) 20.896571302360833 y[1] (numeric) 20.896571302360346 absolute error 4.867217739956686e-13 relative error 2.3291944259806883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.3800000000001305 y[1] (closed_form) 20.917478325432484 y[1] (numeric) 20.91747832543199 absolute error 4.938272013532696e-13 relative error 2.3608352482567204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.390000000000134 y[1] (closed_form) 20.938406265984206 y[1] (numeric) 20.938406265983705 absolute error 5.009326287108706e-13 relative error 2.3924104936518882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.400000000000137 y[1] (closed_form) 20.95935514494393 y[1] (numeric) 20.959355144943434 absolute error 4.973799150320701e-13 relative error 2.3730687876246714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.4100000000001405 y[1] (closed_form) 20.98032498326056 y[1] (numeric) 20.98032498326005 absolute error 5.080380560684716e-13 relative error 2.4214975529397986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.420000000000144 y[1] (closed_form) 21.00131580190391 y[1] (numeric) 21.0013158019034 absolute error 5.115907697472721e-13 relative error 2.435993889968042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.430000000000147 y[1] (closed_form) 21.022327621864818 y[1] (numeric) 21.0223276218643 absolute error 5.186961971048731e-13 relative error 2.4673585458034135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.4400000000001505 y[1] (closed_form) 21.043360464155096 y[1] (numeric) 21.043360464154567 absolute error 5.293543381412746e-13 relative error 2.515540894920124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.450000000000154 y[1] (closed_form) 21.064414349807596 y[1] (numeric) 21.064414349807052 absolute error 5.435651928564766e-13 relative error 2.5804904130241892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.460000000000157 y[1] (closed_form) 21.085489299876198 y[1] (numeric) 21.085489299875647 absolute error 5.506706202140776e-13 relative error 2.611609398209748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.4700000000001605 y[1] (closed_form) 21.106585335435856 y[1] (numeric) 21.106585335435298 absolute error 5.577760475716786e-13 relative error 2.642663598622124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.480000000000164 y[1] (closed_form) 21.127702477582613 y[1] (numeric) 21.127702477582044 absolute error 5.684341886080801e-13 relative error 2.690468541059838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.490000000000167 y[1] (closed_form) 21.14884074743361 y[1] (numeric) 21.14884074743303 absolute error 5.790923296444817e-13 relative error 2.7381752813792117e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5000000000001705 y[1] (closed_form) 21.170000166127107 y[1] (numeric) 21.17000016612653 absolute error 5.755396159656812e-13 relative error 2.7186566435959165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.510000000000174 y[1] (closed_form) 21.19118075482254 y[1] (numeric) 21.191180754821954 absolute error 5.861977570020827e-13 relative error 2.7662345188985278e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.520000000000177 y[1] (closed_form) 21.212382534700495 y[1] (numeric) 21.212382534699902 absolute error 5.933031843596837e-13 relative error 2.796966269060642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5300000000001805 y[1] (closed_form) 21.233605526962755 y[1] (numeric) 21.233605526962158 absolute error 5.968558980384842e-13 relative error 2.8109022618913564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.540000000000184 y[1] (closed_form) 21.254849752832303 y[1] (numeric) 21.254849752831703 absolute error 6.004086117172847e-13 relative error 2.8248076024968255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.550000000000187 y[1] (closed_form) 21.27611523355338 y[1] (numeric) 21.276115233552773 absolute error 6.075140390748857e-13 relative error 2.855380469630137e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.560000000000191 y[1] (closed_form) 21.297401990391464 y[1] (numeric) 21.297401990390856 absolute error 6.075140390748857e-13 relative error 2.852526516374963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.570000000000194 y[1] (closed_form) 21.318710044633313 y[1] (numeric) 21.318710044632695 absolute error 6.181721801112872e-13 relative error 2.8996697211842014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.580000000000197 y[1] (closed_form) 21.34003941758698 y[1] (numeric) 21.340039417586357 absolute error 6.217248937900877e-13 relative error 2.913419612888368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.590000000000201 y[1] (closed_form) 21.361390130581846 y[1] (numeric) 21.36139013058122 absolute error 6.252776074688882e-13 relative error 2.927139121782692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.600000000000204 y[1] (closed_form) 21.382762204968625 y[1] (numeric) 21.38276220496799 absolute error 6.359357485052897e-13 relative error 2.9740579931133494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.610000000000207 y[1] (closed_form) 21.404155662119386 y[1] (numeric) 21.404155662118747 absolute error 6.394884621840902e-13 relative error 2.98768366423275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.620000000000211 y[1] (closed_form) 21.425570523427595 y[1] (numeric) 21.42557052342695 absolute error 6.465938895416912e-13 relative error 3.0178607791782204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.630000000000214 y[1] (closed_form) 21.44700681030811 y[1] (numeric) 21.44700681030746 absolute error 6.501466032204917e-13 relative error 3.0314095060948582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.640000000000217 y[1] (closed_form) 21.46846454419723 y[1] (numeric) 21.46846454419656 absolute error 6.679101716144942e-13 relative error 3.1111222241323516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.650000000000221 y[1] (closed_form) 21.489943746552676 y[1] (numeric) 21.489943746551997 absolute error 6.785683126508957e-13 relative error 3.1576086036044124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.660000000000224 y[1] (closed_form) 21.511444438853662 y[1] (numeric) 21.511444438852976 absolute error 6.856737400084967e-13 relative error 3.1874834902766576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.670000000000227 y[1] (closed_form) 21.53296664260088 y[1] (numeric) 21.532966642600183 absolute error 6.963318810448982e-13 relative error 3.2337944538829747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.680000000000231 y[1] (closed_form) 21.554510379316536 y[1] (numeric) 21.55451037931583 absolute error 7.069900220812997e-13 relative error 3.2800096575597434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.690000000000234 y[1] (closed_form) 21.576075670544363 y[1] (numeric) 21.576075670543652 absolute error 7.105427357601002e-13 relative error 3.293197273729126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.700000000000237 y[1] (closed_form) 21.59766253784966 y[1] (numeric) 21.597662537848947 absolute error 7.140954494389007e-13 relative error 3.30635525111783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.710000000000241 y[1] (closed_form) 21.619271002819296 y[1] (numeric) 21.619271002818575 absolute error 7.212008767965017e-13 relative error 3.3359167231052902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.720000000000244 y[1] (closed_form) 21.640901087061742 y[1] (numeric) 21.640901087061003 absolute error 7.389644451905042e-13 relative error 3.414665785946882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.730000000000247 y[1] (closed_form) 21.66255281220707 y[1] (numeric) 21.662552812206325 absolute error 7.460698725481052e-13 relative error 3.4440533348760595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.740000000000251 y[1] (closed_form) 21.68422619990702 y[1] (numeric) 21.684226199906266 absolute error 7.531752999057062e-13 relative error 3.473378726832022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.750000000000254 y[1] (closed_form) 21.705921271834974 y[1] (numeric) 21.705921271834214 absolute error 7.602807272633072e-13 relative error 3.5026420567084025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.760000000000257 y[1] (closed_form) 21.727638049686014 y[1] (numeric) 21.72763804968524 absolute error 7.744915819785092e-13 relative error 3.564545673153375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.770000000000261 y[1] (closed_form) 21.74937655517691 y[1] (numeric) 21.749376555176127 absolute error 7.815970093361102e-13 relative error 3.593652477133052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.780000000000264 y[1] (closed_form) 21.771136810046173 y[1] (numeric) 21.771136810045377 absolute error 7.958078640513122e-13 relative error 3.65533445035397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.790000000000267 y[1] (closed_form) 21.792918836054064 y[1] (numeric) 21.792918836053257 absolute error 8.064660050877137e-13 relative error 3.700587384162151e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.800000000000271 y[1] (closed_form) 21.814722654982603 y[1] (numeric) 21.81472265498179 absolute error 8.135714324453147e-13 relative error 3.729460352591238e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.810000000000274 y[1] (closed_form) 21.836548288635615 y[1] (numeric) 21.836548288634795 absolute error 8.206768598029157e-13 relative error 3.758271907057857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.820000000000277 y[1] (closed_form) 21.85839575883874 y[1] (numeric) 21.858395758837908 absolute error 8.313350008393172e-13 relative error 3.803275455396381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.830000000000281 y[1] (closed_form) 21.88026508743944 y[1] (numeric) 21.880265087438605 absolute error 8.348877145181177e-13 relative error 3.815711149666977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.840000000000284 y[1] (closed_form) 21.902156296307055 y[1] (numeric) 21.90215629630621 absolute error 8.455458555545192e-13 relative error 3.860559865044373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.850000000000287 y[1] (closed_form) 21.924069407332787 y[1] (numeric) 21.924069407331935 absolute error 8.526512829121202e-13 relative error 3.889110488890078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.860000000000291 y[1] (closed_form) 21.946004442429757 y[1] (numeric) 21.9460044424289 absolute error 8.562039965909207e-13 relative error 3.9014117528180265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.870000000000294 y[1] (closed_form) 21.967961423532998 y[1] (numeric) 21.967961423532135 absolute error 8.633094239485217e-13 relative error 3.9298567914622635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.880000000000297 y[1] (closed_form) 21.98994037259949 y[1] (numeric) 21.989940372598625 absolute error 8.668621376273222e-13 relative error 3.94208498494827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.890000000000301 y[1] (closed_form) 22.01194131160819 y[1] (numeric) 22.01194131160732 absolute error 8.704148513061227e-13 relative error 3.954284808342196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.900000000000304 y[1] (closed_form) 22.03396426256004 y[1] (numeric) 22.03396426255916 absolute error 8.810729923425242e-13 relative error 3.998703918384933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.9100000000003075 y[1] (closed_form) 22.056009247477984 y[1] (numeric) 22.0560092474771 absolute error 8.846257060213247e-13 relative error 4.010814903527836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.920000000000311 y[1] (closed_form) 22.07807628840701 y[1] (numeric) 22.078076288406127 absolute error 8.846257060213247e-13 relative error 4.006806093363457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.930000000000314 y[1] (closed_form) 22.10016540741417 y[1] (numeric) 22.100165407413275 absolute error 8.952838470577262e-13 relative error 4.051027811571836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.9400000000003175 y[1] (closed_form) 22.122276626588576 y[1] (numeric) 22.122276626587677 absolute error 8.988365607365267e-13 relative error 4.06303824831583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.950000000000321 y[1] (closed_form) 22.144409968041458 y[1] (numeric) 22.14440996804055 absolute error 9.094947017729282e-13 relative error 4.107107405821604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.960000000000324 y[1] (closed_form) 22.166565453906145 y[1] (numeric) 22.166565453905232 absolute error 9.130474154517287e-13 relative error 4.119029704219846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.9700000000003275 y[1] (closed_form) 22.188743106338137 y[1] (numeric) 22.188743106337213 absolute error 9.237055564881302e-13 relative error 4.16294673412248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.980000000000331 y[1] (closed_form) 22.210942947515086 y[1] (numeric) 22.21094294751416 absolute error 9.272582701669307e-13 relative error 4.174781198430256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.990000000000334 y[1] (closed_form) 22.23316499963683 y[1] (numeric) 22.2331649996359 absolute error 9.308109838457312e-13 relative error 4.1865878468537234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.0000000000003375 y[1] (closed_form) 22.255409284925427 y[1] (numeric) 22.25540928492449 absolute error 9.379164112033322e-13 relative error 4.214330094745211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.010000000000341 y[1] (closed_form) 22.277675825625167 y[1] (numeric) 22.27767582562422 absolute error 9.450218385609332e-13 relative error 4.242012703470217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.020000000000344 y[1] (closed_form) 22.299964644002586 y[1] (numeric) 22.299964644001633 absolute error 9.521272659185342e-13 relative error 4.2696357645329365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.0300000000003475 y[1] (closed_form) 22.322275762346507 y[1] (numeric) 22.322275762345544 absolute error 9.627854069549358e-13 relative error 4.313114922533903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.040000000000351 y[1] (closed_form) 22.34460920296805 y[1] (numeric) 22.344609202967074 absolute error 9.769962616701378e-13 relative error 4.372402545936505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.050000000000354 y[1] (closed_form) 22.366964988200664 y[1] (numeric) 22.366964988199676 absolute error 9.876544027065393e-13 relative error 4.415683590632706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.0600000000003575 y[1] (closed_form) 22.389343140400126 y[1] (numeric) 22.38934314039913 absolute error 9.947598300641403e-13 relative error 4.4430058703649965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.070000000000361 y[1] (closed_form) 22.411743681944593 y[1] (numeric) 22.41174368194359 absolute error 1.0018652574217413e-12 relative error 4.470269121580516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.080000000000364 y[1] (closed_form) 22.43416663523461 y[1] (numeric) 22.434166635233602 absolute error 1.0089706847793423e-12 relative error 4.497473434982314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.090000000000368 y[1] (closed_form) 22.456612022693136 y[1] (numeric) 22.45661202269212 absolute error 1.0160761121369433e-12 relative error 4.524618901151097e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.100000000000371 y[1] (closed_form) 22.47907986676555 y[1] (numeric) 22.479079866764533 absolute error 1.0160761121369433e-12 relative error 4.520096543805481e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.110000000000374 y[1] (closed_form) 22.501570189919704 y[1] (numeric) 22.50157018991868 absolute error 1.0231815394945443e-12 relative error 4.54715618002921e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.120000000000378 y[1] (closed_form) 22.524083014645928 y[1] (numeric) 22.524083014644894 absolute error 1.0338396805309458e-12 relative error 4.5899301643432404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.130000000000381 y[1] (closed_form) 22.54661836345704 y[1] (numeric) 22.546618363456 absolute error 1.0409451078885468e-12 relative error 4.616856910017526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.140000000000384 y[1] (closed_form) 22.569176258888394 y[1] (numeric) 22.569176258887346 absolute error 1.0480505352461478e-12 relative error 4.643725243775325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.150000000000388 y[1] (closed_form) 22.59175672349789 y[1] (numeric) 22.59175672349683 absolute error 1.0622613899613498e-12 relative error 4.701986671344075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.160000000000391 y[1] (closed_form) 22.614359779865993 y[1] (numeric) 22.61435977986492 absolute error 1.0729195309977513e-12 relative error 4.744417005132255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.170000000000394 y[1] (closed_form) 22.63698545059576 y[1] (numeric) 22.63698545059468 absolute error 1.0800249583553523e-12 relative error 4.771063535436112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.180000000000398 y[1] (closed_form) 22.659633758312864 y[1] (numeric) 22.659633758311774 absolute error 1.0906830993917538e-12 relative error 4.813330661143754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.190000000000401 y[1] (closed_form) 22.68230472566561 y[1] (numeric) 22.68230472566452 absolute error 1.0906830993917538e-12 relative error 4.808519736345919e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.200000000000404 y[1] (closed_form) 22.704998375324976 y[1] (numeric) 22.70499837532388 absolute error 1.0977885267493548e-12 relative error 4.835008171339022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.210000000000408 y[1] (closed_form) 22.72771472998461 y[1] (numeric) 22.727714729983504 absolute error 1.1048939541069558e-12 relative error 4.861438852227727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.220000000000411 y[1] (closed_form) 22.750453812360867 y[1] (numeric) 22.750453812359755 absolute error 1.1119993814645568e-12 relative error 4.8878118680005445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.230000000000414 y[1] (closed_form) 22.77321564519283 y[1] (numeric) 22.773215645191716 absolute error 1.1155520951433573e-12 relative error 4.89852690337492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.240000000000418 y[1] (closed_form) 22.79600025124234 y[1] (numeric) 22.796000251241217 absolute error 1.1226575225009583e-12 relative error 4.924800448007433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.250000000000421 y[1] (closed_form) 22.818807653294 y[1] (numeric) 22.81880765329287 absolute error 1.1333156635373598e-12 relative error 4.966585812706828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.260000000000424 y[1] (closed_form) 22.84163787415521 y[1] (numeric) 22.841637874154074 absolute error 1.1368683772161603e-12 relative error 4.977175382429562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.270000000000428 y[1] (closed_form) 22.864490936656203 y[1] (numeric) 22.864490936655063 absolute error 1.1404210908949608e-12 relative error 4.987738821976767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.280000000000431 y[1] (closed_form) 22.887366863650037 y[1] (numeric) 22.887366863648893 absolute error 1.1439738045737613e-12 relative error 4.998276173003688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.290000000000434 y[1] (closed_form) 22.910265678012642 y[1] (numeric) 22.91026567801149 absolute error 1.1510792319313623e-12 relative error 5.024294559080875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.300000000000438 y[1] (closed_form) 22.933187402642833 y[1] (numeric) 22.93318740264168 absolute error 1.1546319456101628e-12 relative error 5.034764358473355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.310000000000441 y[1] (closed_form) 22.956132060462338 y[1] (numeric) 22.95613206046118 absolute error 1.1581846592889633e-12 relative error 5.045208209460168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.320000000000444 y[1] (closed_form) 22.979099674415817 y[1] (numeric) 22.97909967441465 absolute error 1.1688428003253648e-12 relative error 5.086547414330233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.330000000000448 y[1] (closed_form) 23.002090267470887 y[1] (numeric) 23.00209026746971 absolute error 1.1759482276829658e-12 relative error 5.11235376441405e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.340000000000451 y[1] (closed_form) 23.02510386261814 y[1] (numeric) 23.02510386261695 absolute error 1.1866063687193673e-12 relative error 5.153533186210091e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.350000000000454 y[1] (closed_form) 23.048140482871172 y[1] (numeric) 23.048140482869975 absolute error 1.1972645097557688e-12 relative error 5.194625183083847e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.360000000000458 y[1] (closed_form) 23.07120015126661 y[1] (numeric) 23.0712001512654 absolute error 1.2079226507921703e-12 relative error 5.2356298886594995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.370000000000461 y[1] (closed_form) 23.094282890864122 y[1] (numeric) 23.094282890862903 absolute error 1.2185807918285718e-12 relative error 5.276547436381455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.380000000000464 y[1] (closed_form) 23.11738872474645 y[1] (numeric) 23.117388724745226 absolute error 1.2256862191861728e-12 relative error 5.302009815122906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.390000000000468 y[1] (closed_form) 23.140517676019424 y[1] (numeric) 23.140517676018195 absolute error 1.2292389328649733e-12 relative error 5.312063239358023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.400000000000471 y[1] (closed_form) 23.163669767812006 y[1] (numeric) 23.16366976781077 absolute error 1.2363443602225743e-12 relative error 5.337428708902531e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.410000000000474 y[1] (closed_form) 23.18684502327629 y[1] (numeric) 23.18684502327504 absolute error 1.2505552149377763e-12 relative error 5.393382384202754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.420000000000478 y[1] (closed_form) 23.210043465587525 y[1] (numeric) 23.210043465586274 absolute error 1.2505552149377763e-12 relative error 5.387991697611069e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.430000000000481 y[1] (closed_form) 23.233265117944164 y[1] (numeric) 23.233265117942903 absolute error 1.2612133559741778e-12 relative error 5.4284808853667424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.4400000000004844 y[1] (closed_form) 23.256510003567854 y[1] (numeric) 23.256510003566582 absolute error 1.2718714970105793e-12 relative error 5.468883752615751e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.450000000000488 y[1] (closed_form) 23.27977814570348 y[1] (numeric) 23.2797781457022 absolute error 1.2825296380469808e-12 relative error 5.509200431464098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.460000000000491 y[1] (closed_form) 23.3030695676192 y[1] (numeric) 23.303069567617904 absolute error 1.2967404927621828e-12 relative error 5.564676743548282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.4700000000004945 y[1] (closed_form) 23.326384292606427 y[1] (numeric) 23.32638429260512 absolute error 1.3073986337985843e-12 relative error 5.6048062031327326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.480000000000498 y[1] (closed_form) 23.34972234397989 y[1] (numeric) 23.349722343978573 absolute error 1.3180567748349858e-12 relative error 5.644849884798788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.490000000000501 y[1] (closed_form) 23.373083745077643 y[1] (numeric) 23.37308374507632 absolute error 1.3251622021925868e-12 relative error 5.669607898750909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.5000000000005045 y[1] (closed_form) 23.396468519261088 y[1] (numeric) 23.396468519259752 absolute error 1.3358203432289883e-12 relative error 5.70949561096914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.510000000000508 y[1] (closed_form) 23.419876689915004 y[1] (numeric) 23.41987668991366 absolute error 1.3429257705865894e-12 relative error 5.734128272182048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.520000000000511 y[1] (closed_form) 23.44330828044756 y[1] (numeric) 23.443308280446207 absolute error 1.3535839116229909e-12 relative error 5.773860478352031e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.5300000000005145 y[1] (closed_form) 23.466763314290354 y[1] (numeric) 23.46676331428899 absolute error 1.3642420526593924e-12 relative error 5.813507531431152e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.540000000000518 y[1] (closed_form) 23.490241814898415 y[1] (numeric) 23.490241814897043 absolute error 1.3713474800169934e-12 relative error 5.8379453511935836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.550000000000521 y[1] (closed_form) 23.513743805750245 y[1] (numeric) 23.51374380574887 absolute error 1.3749001936957939e-12 relative error 5.847219417945535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.5600000000005245 y[1] (closed_form) 23.537269310347845 y[1] (numeric) 23.537269310346463 absolute error 1.3820056210533949e-12 relative error 5.871563106285293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.570000000000528 y[1] (closed_form) 23.560818352216714 y[1] (numeric) 23.560818352215325 absolute error 1.3891110484109959e-12 relative error 5.8958522902083394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.580000000000531 y[1] (closed_form) 23.5843909549059 y[1] (numeric) 23.584390954904507 absolute error 1.3926637620897964e-12 relative error 5.90502321960577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.5900000000005345 y[1] (closed_form) 23.607987141988005 y[1] (numeric) 23.60798714198661 absolute error 1.3962164757685969e-12 relative error 5.9141699263524035e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.600000000000538 y[1] (closed_form) 23.63160693705922 y[1] (numeric) 23.63160693705781 absolute error 1.4104273304837989e-12 relative error 5.968393661253559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.610000000000541 y[1] (closed_form) 23.655250363739345 y[1] (numeric) 23.655250363737924 absolute error 1.4210854715202004e-12 relative error 6.007484383672191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.620000000000545 y[1] (closed_form) 23.6789174456718 y[1] (numeric) 23.678917445670375 absolute error 1.4246381851990009e-12 relative error 6.016483601784787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.630000000000548 y[1] (closed_form) 23.702608206523674 y[1] (numeric) 23.702608206522246 absolute error 1.4281908988778014e-12 relative error 6.0254588289769735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.640000000000551 y[1] (closed_form) 23.726322669985734 y[1] (numeric) 23.726322669984302 absolute error 1.4317436125566019e-12 relative error 6.034410104216385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.650000000000555 y[1] (closed_form) 23.75006085977244 y[1] (numeric) 23.750060859771 absolute error 1.4388490399142029e-12 relative error 6.058296222521718e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.660000000000558 y[1] (closed_form) 23.773822799621982 y[1] (numeric) 23.773822799620532 absolute error 1.4495071809506044e-12 relative error 6.09707236891516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.670000000000561 y[1] (closed_form) 23.797608513296304 y[1] (numeric) 23.797608513294843 absolute error 1.4601653219870059e-12 relative error 6.135764949537581e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.680000000000565 y[1] (closed_form) 23.821418024581128 y[1] (numeric) 23.821418024579653 absolute error 1.4743761767022079e-12 relative error 6.1892880397834045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.690000000000568 y[1] (closed_form) 23.845251357285953 y[1] (numeric) 23.845251357284475 absolute error 1.4779288903810084e-12 relative error 6.19800088594757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.700000000000571 y[1] (closed_form) 23.86910853524413 y[1] (numeric) 23.869108535242646 absolute error 1.4850343177386094e-12 relative error 6.221574281024654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.710000000000575 y[1] (closed_form) 23.89298958231283 y[1] (numeric) 23.892989582311333 absolute error 1.4956924587750109e-12 relative error 6.259963633358888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.720000000000578 y[1] (closed_form) 23.916894522373102 y[1] (numeric) 23.9168945223716 absolute error 1.5027978861326119e-12 relative error 6.283415619560545e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.730000000000581 y[1] (closed_form) 23.940823379329892 y[1] (numeric) 23.940823379328382 absolute error 1.5099033134902129e-12 relative error 6.3068144715266484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.740000000000585 y[1] (closed_form) 23.964776177112054 y[1] (numeric) 23.96477617711054 absolute error 1.5134560271690134e-12 relative error 6.315335540727745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.750000000000588 y[1] (closed_form) 23.988752939672388 y[1] (numeric) 23.988752939670867 absolute error 1.5205614545266144e-12 relative error 6.3386431897921764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.760000000000591 y[1] (closed_form) 24.012753690987665 y[1] (numeric) 24.012753690986134 absolute error 1.531219595563016e-12 relative error 6.376693049317808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.770000000000595 y[1] (closed_form) 24.03677845505863 y[1] (numeric) 24.036778455057092 absolute error 1.538325022920617e-12 relative error 6.399880191086383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.780000000000598 y[1] (closed_form) 24.06082725591006 y[1] (numeric) 24.060827255908514 absolute error 1.545430450278218e-12 relative error 6.42301461143076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.790000000000601 y[1] (closed_form) 24.084900117590745 y[1] (numeric) 24.084900117589193 absolute error 1.552535877635819e-12 relative error 6.4460963925771176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.800000000000605 y[1] (closed_form) 24.108997064173558 y[1] (numeric) 24.108997064171998 absolute error 1.55964130499342e-12 relative error 6.4691256166399285e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.810000000000608 y[1] (closed_form) 24.133118119755444 y[1] (numeric) 24.133118119753878 absolute error 1.566746732351021e-12 relative error 6.492102365622108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.820000000000611 y[1] (closed_form) 24.15726330845746 y[1] (numeric) 24.157263308455885 absolute error 1.573852159708622e-12 relative error 6.515026721415154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.830000000000615 y[1] (closed_form) 24.181432654424793 y[1] (numeric) 24.18143265442321 absolute error 1.580957587066223e-12 relative error 6.537898765799282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.840000000000618 y[1] (closed_form) 24.2056261818268 y[1] (numeric) 24.205626181825217 absolute error 1.5845103007450234e-12 relative error 6.546041357668527e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.850000000000621 y[1] (closed_form) 24.229843914857007 y[1] (numeric) 24.22984391485542 absolute error 1.588063014423824e-12 relative error 6.5541611411292326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.860000000000625 y[1] (closed_form) 24.254085877733147 y[1] (numeric) 24.25408587773155 absolute error 1.595168441781425e-12 relative error 6.5769060513053385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.870000000000628 y[1] (closed_form) 24.278352094697183 y[1] (numeric) 24.278352094695578 absolute error 1.6058265828178264e-12 relative error 6.6142322038758435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.880000000000631 y[1] (closed_form) 24.302642590015342 y[1] (numeric) 24.302642590013726 absolute error 1.616484723854228e-12 relative error 6.651477171121939e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.890000000000635 y[1] (closed_form) 24.326957387978112 y[1] (numeric) 24.326957387976492 absolute error 1.6200374375330284e-12 relative error 6.659433038402156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.900000000000638 y[1] (closed_form) 24.3512965129003 y[1] (numeric) 24.351296512898674 absolute error 1.6271428648906294e-12 relative error 6.681955780172267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.910000000000641 y[1] (closed_form) 24.37565998912103 y[1] (numeric) 24.375659989119395 absolute error 1.6342482922482304e-12 relative error 6.704426846196588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.920000000000645 y[1] (closed_form) 24.40004784100378 y[1] (numeric) 24.400047841002134 absolute error 1.644906433284632e-12 relative error 6.74140659068873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.930000000000648 y[1] (closed_form) 24.424460092936403 y[1] (numeric) 24.42446009293475 absolute error 1.652011860642233e-12 relative error 6.76375999451467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.940000000000651 y[1] (closed_form) 24.448896769331157 y[1] (numeric) 24.448896769329497 absolute error 1.659117287999834e-12 relative error 6.7860619792097966e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.950000000000655 y[1] (closed_form) 24.473357894624712 y[1] (numeric) 24.473357894623046 absolute error 1.666222715357435e-12 relative error 6.808312625229909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.960000000000658 y[1] (closed_form) 24.497843493278207 y[1] (numeric) 24.49784349327653 absolute error 1.6768808563938364e-12 relative error 6.845014161568728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.9700000000006614 y[1] (closed_form) 24.522353589777236 y[1] (numeric) 24.52235358977555 absolute error 1.687538997430238e-12 relative error 6.881635530015893e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.980000000000665 y[1] (closed_form) 24.5468882086319 y[1] (numeric) 24.546888208630197 absolute error 1.70174985214544e-12 relative error 6.9326500274972554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 6.990000000000668 y[1] (closed_form) 24.57144737437681 y[1] (numeric) 24.571447374375104 absolute error 1.7053025658242404e-12 relative error 6.940179550035525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.0000000000006715 y[1] (closed_form) 24.59603111157115 y[1] (numeric) 24.596031111569438 absolute error 1.7124079931818414e-12 relative error 6.962131351249766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.010000000000675 y[1] (closed_form) 24.62063944479865 y[1] (numeric) 24.62063944479693 absolute error 1.7195134205394424e-12 relative error 6.984032337562648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.020000000000678 y[1] (closed_form) 24.645272398667643 y[1] (numeric) 24.645272398665917 absolute error 1.7266188478970435e-12 relative error 7.005882588623312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.0300000000006815 y[1] (closed_form) 24.669929997811092 y[1] (numeric) 24.669929997809355 absolute error 1.737276988933445e-12 relative error 7.042083172054358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.040000000000685 y[1] (closed_form) 24.694612266886594 y[1] (numeric) 24.694612266884846 absolute error 1.7479351299698465e-12 relative error 7.07820439162627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.050000000000688 y[1] (closed_form) 24.71931923057642 y[1] (numeric) 24.719319230574666 absolute error 1.7550405573274475e-12 relative error 7.0998741549344935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.0600000000006915 y[1] (closed_form) 24.744050913587536 y[1] (numeric) 24.74405091358577 absolute error 1.765698698363849e-12 relative error 7.1358513791056844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.070000000000695 y[1] (closed_form) 24.768807340651627 y[1] (numeric) 24.768807340649854 absolute error 1.77280412572145e-12 relative error 7.1574060928313164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.080000000000698 y[1] (closed_form) 24.793588536525128 y[1] (numeric) 24.793588536523337 absolute error 1.7905676941154525e-12 relative error 7.221898078519956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.0900000000007015 y[1] (closed_form) 24.818394525989223 y[1] (numeric) 24.81839452598743 absolute error 1.794120407794253e-12 relative error 7.2289946310406715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.100000000000705 y[1] (closed_form) 24.84322533384992 y[1] (numeric) 24.843225333848114 absolute error 1.8047785488306545e-12 relative error 7.264670849205596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.110000000000708 y[1] (closed_form) 24.868080984938015 y[1] (numeric) 24.8680809849362 absolute error 1.815436689867056e-12 relative error 7.300268528828668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1200000000007115 y[1] (closed_form) 24.89296150410917 y[1] (numeric) 24.892961504107348 absolute error 1.822542117224657e-12 relative error 7.321515830584494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.130000000000715 y[1] (closed_form) 24.917866916243906 y[1] (numeric) 24.917866916242073 absolute error 1.8332002582610585e-12 relative error 7.356971061860833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.140000000000718 y[1] (closed_form) 24.94279724624763 y[1] (numeric) 24.94279724624579 absolute error 1.8403056856186595e-12 relative error 7.378104658632518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.150000000000722 y[1] (closed_form) 24.967752519050684 y[1] (numeric) 24.967752519048833 absolute error 1.850963826655061e-12 relative error 7.413417868679826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.160000000000725 y[1] (closed_form) 24.992732759608334 y[1] (numeric) 24.992732759606472 absolute error 1.8616219676914625e-12 relative error 7.448653116877629e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.170000000000728 y[1] (closed_form) 25.01773799290083 y[1] (numeric) 25.01773799289895 absolute error 1.879385536085465e-12 relative error 7.51221208175883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.180000000000732 y[1] (closed_form) 25.0427682439334 y[1] (numeric) 25.042768243931516 absolute error 1.8829382497642655e-12 relative error 7.518890209832959e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.190000000000735 y[1] (closed_form) 25.067823537736302 y[1] (numeric) 25.06782353773441 absolute error 1.893596390800667e-12 relative error 7.55389229523699e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.200000000000738 y[1] (closed_form) 25.09290389936483 y[1] (numeric) 25.092903899362927 absolute error 1.9042545318370685e-12 relative error 7.588816900084928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.210000000000742 y[1] (closed_form) 25.11800935389935 y[1] (numeric) 25.11800935389744 absolute error 1.9113599591946695e-12 relative error 7.609520054971823e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.220000000000745 y[1] (closed_form) 25.143139926445315 y[1] (numeric) 25.1431399264434 absolute error 1.91491267287347e-12 relative error 7.616044290710816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.230000000000748 y[1] (closed_form) 25.1682956421333 y[1] (numeric) 25.168295642131383 absolute error 1.9184653865522705e-12 relative error 7.622547882585419e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.240000000000752 y[1] (closed_form) 25.193476526119028 y[1] (numeric) 25.1934765261171 absolute error 1.929123527588672e-12 relative error 7.657234306621704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.250000000000755 y[1] (closed_form) 25.218682603583385 y[1] (numeric) 25.218682603581446 absolute error 1.9397816686250735e-12 relative error 7.691843777554998e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.260000000000758 y[1] (closed_form) 25.243913899732444 y[1] (numeric) 25.243913899730487 absolute error 1.957545237019076e-12 relative error 7.754523505326262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.270000000000762 y[1] (closed_form) 25.269170439797506 y[1] (numeric) 25.26917043979554 absolute error 1.964650664376677e-12 relative error 7.774891815532115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.280000000000765 y[1] (closed_form) 25.294452249035114 y[1] (numeric) 25.29445224903314 absolute error 1.9753088054130785e-12 relative error 7.809257089124865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.290000000000768 y[1] (closed_form) 25.31975935272708 y[1] (numeric) 25.31975935272509 absolute error 1.9895196601282805e-12 relative error 7.857577287416036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.300000000000772 y[1] (closed_form) 25.345091776180503 y[1] (numeric) 25.34509177617851 absolute error 1.993072373807081e-12 relative error 7.86374100124658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.310000000000775 y[1] (closed_form) 25.37044954472782 y[1] (numeric) 25.37044954472582 absolute error 2.000177801164682e-12 relative error 7.883887897368121e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.320000000000778 y[1] (closed_form) 25.39583268372679 y[1] (numeric) 25.395832683724784 absolute error 2.007283228522283e-12 relative error 7.903986663955757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.330000000000782 y[1] (closed_form) 25.421241218560567 y[1] (numeric) 25.421241218558542 absolute error 2.0250467969162855e-12 relative error 7.965963500782006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.340000000000785 y[1] (closed_form) 25.44667517463768 y[1] (numeric) 25.44667517463565 absolute error 2.028599510595086e-12 relative error 7.971962925109213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.350000000000788 y[1] (closed_form) 25.472134577392083 y[1] (numeric) 25.472134577390054 absolute error 2.028599510595086e-12 relative error 7.963994946837236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.360000000000792 y[1] (closed_form) 25.497619452283192 y[1] (numeric) 25.49761945228116 absolute error 2.0321522242738865e-12 relative error 7.9699684438263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.370000000000795 y[1] (closed_form) 25.523129824795877 y[1] (numeric) 25.52312982479383 absolute error 2.0463630789890885e-12 relative error 8.017680797913092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.380000000000798 y[1] (closed_form) 25.548665720440514 y[1] (numeric) 25.548665720438457 absolute error 2.05702122002549e-12 relative error 8.05138414089369e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.390000000000802 y[1] (closed_form) 25.574227164752994 y[1] (numeric) 25.57422716475094 absolute error 2.0534685063466895e-12 relative error 8.029445007733521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.400000000000805 y[1] (closed_form) 25.59981418329478 y[1] (numeric) 25.59981418329271 absolute error 2.0676793610618915e-12 relative error 8.076931130270316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.410000000000808 y[1] (closed_form) 25.62542680165287 y[1] (numeric) 25.625426801650804 absolute error 2.0676793610618915e-12 relative error 8.068858236259791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.420000000000812 y[1] (closed_form) 25.65106504543991 y[1] (numeric) 25.651065045437832 absolute error 2.078337502098293e-12 relative error 8.102343892608728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.430000000000815 y[1] (closed_form) 25.676728940294126 y[1] (numeric) 25.676728940292044 absolute error 2.0818902157770935e-12 relative error 8.108081915800469e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.440000000000818 y[1] (closed_form) 25.702418511879426 y[1] (numeric) 25.70241851187733 absolute error 2.0961010704922955e-12 relative error 8.15526783801881e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.450000000000822 y[1] (closed_form) 25.728133785885376 y[1] (numeric) 25.728133785883276 absolute error 2.099653784171096e-12 relative error 8.160925318737964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.460000000000825 y[1] (closed_form) 25.753874788027254 y[1] (numeric) 25.75387478802515 absolute error 2.1032064978498966e-12 relative error 8.166563343033951e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.470000000000828 y[1] (closed_form) 25.779641544046076 y[1] (numeric) 25.779641544043958 absolute error 2.1174173525650986e-12 relative error 8.213525191757857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.480000000000832 y[1] (closed_form) 25.80543407970858 y[1] (numeric) 25.80543407970646 absolute error 2.120970066243899e-12 relative error 8.21908308030233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.490000000000835 y[1] (closed_form) 25.831252420807317 y[1] (numeric) 25.831252420805185 absolute error 2.1316282072803006e-12 relative error 8.25212874913976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.500000000000838 y[1] (closed_form) 25.85709659316063 y[1] (numeric) 25.857096593158488 absolute error 2.142286348316702e-12 relative error 8.28510014880538e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.510000000000842 y[1] (closed_form) 25.88296662261269 y[1] (numeric) 25.88296662261054 absolute error 2.1529444893531036e-12 relative error 8.317997394750648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.520000000000845 y[1] (closed_form) 25.908862535033528 y[1] (numeric) 25.908862535031364 absolute error 2.163602630389505e-12 relative error 8.350820602270432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.5300000000008485 y[1] (closed_form) 25.934784356319064 y[1] (numeric) 25.934784356316893 absolute error 2.170708057747106e-12 relative error 8.369871242897797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.540000000000852 y[1] (closed_form) 25.960732112391113 y[1] (numeric) 25.960732112388936 absolute error 2.177813485104707e-12 relative error 8.388875458813551e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.550000000000855 y[1] (closed_form) 25.98670582919744 y[1] (numeric) 25.98670582919525 absolute error 2.1884716261411086e-12 relative error 8.421504597486322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.5600000000008585 y[1] (closed_form) 26.01270553271176 y[1] (numeric) 26.012705532709564 absolute error 2.1955770534987096e-12 relative error 8.44040252075166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.570000000000862 y[1] (closed_form) 26.038731248933786 y[1] (numeric) 26.038731248931573 absolute error 2.213340621892712e-12 relative error 8.50018612939654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.580000000000865 y[1] (closed_form) 26.06478300388922 y[1] (numeric) 26.06478300388701 absolute error 2.213340621892712e-12 relative error 8.491690191943863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.5900000000008685 y[1] (closed_form) 26.09086082362984 y[1] (numeric) 26.090860823627615 absolute error 2.2239987629291136e-12 relative error 8.524052839662897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.600000000000872 y[1] (closed_form) 26.116964734233456 y[1] (numeric) 26.11696473423122 absolute error 2.234656903965515e-12 relative error 8.556342311234902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.610000000000875 y[1] (closed_form) 26.143094761803983 y[1] (numeric) 26.14309476180174 absolute error 2.241762331323116e-12 relative error 8.574969228962183e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.6200000000008785 y[1] (closed_form) 26.169250932471442 y[1] (numeric) 26.169250932469197 absolute error 2.2453150450019166e-12 relative error 8.579974454736398e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.630000000000882 y[1] (closed_form) 26.195433272392027 y[1] (numeric) 26.195433272389767 absolute error 2.2595258997171186e-12 relative error 8.625648128135697e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.640000000000885 y[1] (closed_form) 26.22164180774806 y[1] (numeric) 26.22164180774579 absolute error 2.27018404075352e-12 relative error 8.65767314418397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.6500000000008885 y[1] (closed_form) 26.247876564748086 y[1] (numeric) 26.247876564745813 absolute error 2.2737367544323206e-12 relative error 8.662555040684842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.660000000000892 y[1] (closed_form) 26.274137569626866 y[1] (numeric) 26.274137569624582 absolute error 2.284394895468722e-12 relative error 8.69446195680083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.670000000000895 y[1] (closed_form) 26.300424848645406 y[1] (numeric) 26.30042484864311 absolute error 2.2950530365051236e-12 relative error 8.726296437083334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.6800000000008986 y[1] (closed_form) 26.32673842809098 y[1] (numeric) 26.326738428088678 absolute error 2.3021584638627246e-12 relative error 8.744563897084536e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.690000000000902 y[1] (closed_form) 26.353078334277185 y[1] (numeric) 26.353078334274873 absolute error 2.312816604899126e-12 relative error 8.776267332271648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.700000000000905 y[1] (closed_form) 26.379444593543916 y[1] (numeric) 26.379444593541596 absolute error 2.319922032256727e-12 relative error 8.794430921508116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.710000000000909 y[1] (closed_form) 26.405837232257436 y[1] (numeric) 26.405837232255113 absolute error 2.3234747459355276e-12 relative error 8.79909516028208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.720000000000912 y[1] (closed_form) 26.432256276810392 y[1] (numeric) 26.43225627680806 absolute error 2.3305801732931286e-12 relative error 8.817182115995896e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.730000000000915 y[1] (closed_form) 26.45870175362183 y[1] (numeric) 26.45870175361949 absolute error 2.34123831432953e-12 relative error 8.848651517866128e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.740000000000919 y[1] (closed_form) 26.485173689137223 y[1] (numeric) 26.485173689134882 absolute error 2.34123831432953e-12 relative error 8.839807289199612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.750000000000922 y[1] (closed_form) 26.511672109828513 y[1] (numeric) 26.511672109826165 absolute error 2.348343741687131e-12 relative error 8.857773029021974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.760000000000925 y[1] (closed_form) 26.53819704219412 y[1] (numeric) 26.538197042191765 absolute error 2.355449169044732e-12 relative error 8.87569402435181e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.770000000000929 y[1] (closed_form) 26.564748512758985 y[1] (numeric) 26.564748512756623 absolute error 2.362554596402333e-12 relative error 8.893570346685585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.780000000000932 y[1] (closed_form) 26.591326548074573 y[1] (numeric) 26.591326548072207 absolute error 2.3661073100811336e-12 relative error 8.898041644531866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.790000000000935 y[1] (closed_form) 26.617931174718926 y[1] (numeric) 26.617931174716553 absolute error 2.3732127374387346e-12 relative error 8.915842188715084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.800000000000939 y[1] (closed_form) 26.644562419296673 y[1] (numeric) 26.644562419294292 absolute error 2.3803181647963356e-12 relative error 8.933598260455756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.810000000000942 y[1] (closed_form) 26.67122030843906 y[1] (numeric) 26.671220308436673 absolute error 2.3874235921539366e-12 relative error 8.951309930871555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.820000000000945 y[1] (closed_form) 26.697904868803978 y[1] (numeric) 26.697904868801583 absolute error 2.3945290195115376e-12 relative error 8.96897727098242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.830000000000949 y[1] (closed_form) 26.724616127075986 y[1] (numeric) 26.72461612707359 absolute error 2.398081733190338e-12 relative error 8.973306564208145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.840000000000952 y[1] (closed_form) 26.751354109966353 y[1] (numeric) 26.751354109963945 absolute error 2.4087398742267396e-12 relative error 9.00417924388116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.850000000000955 y[1] (closed_form) 26.778118844213058 y[1] (numeric) 26.77811884421064 absolute error 2.419398015263141e-12 relative error 9.034981244718728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.860000000000959 y[1] (closed_form) 26.804910356580834 y[1] (numeric) 26.80491035657841 absolute error 2.4229507289419416e-12 relative error 9.039204745361465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.870000000000962 y[1] (closed_form) 26.831728673861207 y[1] (numeric) 26.831728673858777 absolute error 2.4300561562995426e-12 relative error 9.056651495834638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.880000000000965 y[1] (closed_form) 26.858573822872486 y[1] (numeric) 26.858573822870042 absolute error 2.4442670110147446e-12 relative error 9.100509308998498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.890000000000969 y[1] (closed_form) 26.88544583045983 y[1] (numeric) 26.885445830457375 absolute error 2.454925152051146e-12 relative error 9.131056139191272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.900000000000972 y[1] (closed_form) 26.91234472349524 y[1] (numeric) 26.912344723492776 absolute error 2.4655832930875476e-12 relative error 9.161532814846205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.910000000000975 y[1] (closed_form) 26.939270528877618 y[1] (numeric) 26.93927052887515 absolute error 2.469136006766348e-12 relative error 9.165563722742795e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.920000000000979 y[1] (closed_form) 26.96622327353277 y[1] (numeric) 26.96622327353029 absolute error 2.4797941478027496e-12 relative error 9.195926780880202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.930000000000982 y[1] (closed_form) 26.993202984413443 y[1] (numeric) 26.993202984410953 absolute error 2.490452288839151e-12 relative error 9.226219986850768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.940000000000985 y[1] (closed_form) 27.02020968849935 y[1] (numeric) 27.020209688496855 absolute error 2.4940050025179517e-12 relative error 9.230146735609822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.950000000000989 y[1] (closed_form) 27.047243412797197 y[1] (numeric) 27.04724341279469 absolute error 2.5082158572331537e-12 relative error 9.273462063961795e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.960000000000992 y[1] (closed_form) 27.07430418434071 y[1] (numeric) 27.074304184338196 absolute error 2.5153212845907547e-12 relative error 9.29043741055983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.970000000000995 y[1] (closed_form) 27.101392030190667 y[1] (numeric) 27.101392030188137 absolute error 2.5295321393059567e-12 relative error 9.333587501660743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.980000000000999 y[1] (closed_form) 27.12850697743491 y[1] (numeric) 27.12850697743237 absolute error 2.540190280342358e-12 relative error 9.363546185771488e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.990000000001002 y[1] (closed_form) 27.15564905318839 y[1] (numeric) 27.15564905318584 absolute error 2.5508484213787597e-12 relative error 9.393435658203354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.000000000001005 y[1] (closed_form) 27.182818284593186 y[1] (numeric) 27.182818284590624 absolute error 2.561506562415161e-12 relative error 9.42325602738177e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.010000000001 y[1] (closed_form) 27.21001469881851 y[1] (numeric) 27.210014698815964 absolute error 2.547295707699959e-12 relative error 9.361610921182507e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.020000000000994 y[1] (closed_form) 27.237238323060797 y[1] (numeric) 27.237238323058268 absolute error 2.5295321393059567e-12 relative error 9.287036039789292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.030000000000989 y[1] (closed_form) 27.26448918454368 y[1] (numeric) 27.264489184541166 absolute error 2.5153212845907547e-12 relative error 9.225631434227265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.040000000000983 y[1] (closed_form) 27.29176731051802 y[1] (numeric) 27.29176731051552 absolute error 2.497557716196752e-12 relative error 9.151322769904368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.050000000000978 y[1] (closed_form) 27.319072728261943 y[1] (numeric) 27.31907272825946 absolute error 2.48334686148155e-12 relative error 9.090157950026228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.060000000000972 y[1] (closed_form) 27.34640546508087 y[1] (numeric) 27.3464054650784 absolute error 2.469136006766348e-12 relative error 9.029106256466626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.070000000000967 y[1] (closed_form) 27.373765548307546 y[1] (numeric) 27.373765548305087 absolute error 2.4584778657299466e-12 relative error 8.98114605895698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.080000000000961 y[1] (closed_form) 27.401153005302046 y[1] (numeric) 27.401153005299605 absolute error 2.440714297335944e-12 relative error 8.907341588376492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.090000000000956 y[1] (closed_form) 27.428567863451832 y[1] (numeric) 27.42856786344941 absolute error 2.4229507289419416e-12 relative error 8.833675680787141e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.10000000000095 y[1] (closed_form) 27.456010150171775 y[1] (numeric) 27.456010150169366 absolute error 2.4087398742267396e-12 relative error 8.773087790440191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.110000000000944 y[1] (closed_form) 27.483479892904153 y[1] (numeric) 27.48347989290176 absolute error 2.3945290195115376e-12 relative error 8.712612190459081e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.120000000000939 y[1] (closed_form) 27.510977119118714 y[1] (numeric) 27.51097711911633 absolute error 2.383870878475136e-12 relative error 8.665162520957747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.130000000000933 y[1] (closed_form) 27.538501856312685 y[1] (numeric) 27.53850185631032 absolute error 2.3661073100811336e-12 relative error 8.591997206045353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.140000000000928 y[1] (closed_form) 27.56605413201081 y[1] (numeric) 27.56605413200846 absolute error 2.348343741687131e-12 relative error 8.51896949211944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.150000000000922 y[1] (closed_form) 27.59363397376536 y[1] (numeric) 27.593633973763033 absolute error 2.327027459614328e-12 relative error 8.43320405651082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.160000000000917 y[1] (closed_form) 27.621241409156188 y[1] (numeric) 27.62124140915388 absolute error 2.3092638912203256e-12 relative error 8.360463807592753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.170000000000911 y[1] (closed_form) 27.648876465790725 y[1] (numeric) 27.64887646578843 absolute error 2.2950530365051236e-12 relative error 8.300709937869397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.180000000000906 y[1] (closed_form) 27.67653917130403 y[1] (numeric) 27.67653917130175 absolute error 2.277289468111121e-12 relative error 8.228230610828292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.1900000000009 y[1] (closed_form) 27.704229553358815 y[1] (numeric) 27.70422955335655 absolute error 2.263078613395919e-12 relative error 8.16871160064997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.200000000000895 y[1] (closed_form) 27.731947639645462 y[1] (numeric) 27.731947639643213 absolute error 2.248867758680717e-12 relative error 8.109303348985652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.210000000000889 y[1] (closed_form) 27.759693457882058 y[1] (numeric) 27.75969345787983 absolute error 2.227551476607914e-12 relative error 8.02440949136427e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.220000000000883 y[1] (closed_form) 27.78746703581443 y[1] (numeric) 27.787467035812213 absolute error 2.2168933355715126e-12 relative error 7.978033164067187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.230000000000878 y[1] (closed_form) 27.815268401216144 y[1] (numeric) 27.81526840121394 absolute error 2.2026824808563106e-12 relative error 7.918968996035302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.240000000000872 y[1] (closed_form) 27.843097581888582 y[1] (numeric) 27.843097581886393 absolute error 2.1884716261411086e-12 relative error 7.86001492723521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.250000000000867 y[1] (closed_form) 27.870954605660927 y[1] (numeric) 27.87095460565875 absolute error 2.177813485104707e-12 relative error 7.81391780768918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.260000000000861 y[1] (closed_form) 27.898839500390196 y[1] (numeric) 27.898839500388036 absolute error 2.1600499167107046e-12 relative error 7.742436443209382e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.270000000000856 y[1] (closed_form) 27.926752293961286 y[1] (numeric) 27.926752293959147 absolute error 2.1387336346379016e-12 relative error 7.6583686213322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.28000000000085 y[1] (closed_form) 27.954693014287002 y[1] (numeric) 27.95469301428488 absolute error 2.120970066243899e-12 relative error 7.587169943736888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.290000000000845 y[1] (closed_form) 27.98266168930806 y[1] (numeric) 27.982661689305953 absolute error 2.106759211528697e-12 relative error 7.528802066508462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.30000000000084 y[1] (closed_form) 28.010658346993146 y[1] (numeric) 28.01065834699105 absolute error 2.0961010704922955e-12 relative error 7.483226722221276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.310000000000834 y[1] (closed_form) 28.038683015338904 y[1] (numeric) 28.038683015336826 absolute error 2.078337502098293e-12 relative error 7.412393445731075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.320000000000828 y[1] (closed_form) 28.06673572237002 y[1] (numeric) 28.06673572236796 absolute error 2.0605739337042905e-12 relative error 7.341694289236322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.330000000000823 y[1] (closed_form) 28.094816496139195 y[1] (numeric) 28.094816496137145 absolute error 2.049915792667889e-12 relative error 7.296419939064523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.340000000000817 y[1] (closed_form) 28.1229253647272 y[1] (numeric) 28.122925364725173 absolute error 2.028599510595086e-12 relative error 7.213330349834194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.350000000000811 y[1] (closed_form) 28.151062356242925 y[1] (numeric) 28.151062356240903 absolute error 2.021494083237485e-12 relative error 7.180880272495962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.360000000000806 y[1] (closed_form) 28.179227498823348 y[1] (numeric) 28.17922749882134 absolute error 2.007283228522283e-12 relative error 7.123272732036743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.3700000000008 y[1] (closed_form) 28.207420820633615 y[1] (numeric) 28.207420820631626 absolute error 1.9895196601282805e-12 relative error 7.053178214269611e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.380000000000795 y[1] (closed_form) 28.235642349867057 y[1] (numeric) 28.23564234986508 absolute error 1.9753088054130785e-12 relative error 6.995799071744436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.39000000000079 y[1] (closed_form) 28.2638921147452 y[1] (numeric) 28.26389211474324 absolute error 1.9610979506978765e-12 relative error 6.938527584015142e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.400000000000784 y[1] (closed_form) 28.292170143517815 y[1] (numeric) 28.292170143515868 absolute error 1.9468870959826745e-12 relative error 6.881363593201553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.410000000000778 y[1] (closed_form) 28.320476464462928 y[1] (numeric) 28.320476464461 absolute error 1.929123527588672e-12 relative error 6.811762259753549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.420000000000773 y[1] (closed_form) 28.348811105886867 y[1] (numeric) 28.348811105884952 absolute error 1.91491267287347e-12 relative error 6.754825328374432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.430000000000767 y[1] (closed_form) 28.377174096124275 y[1] (numeric) 28.377174096122378 absolute error 1.8971491044794675e-12 relative error 6.685475791398757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.440000000000762 y[1] (closed_form) 28.405565463538146 y[1] (numeric) 28.405565463536263 absolute error 1.8829382497642655e-12 relative error 6.62876524032319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.450000000000756 y[1] (closed_form) 28.433985236519842 y[1] (numeric) 28.433985236517973 absolute error 1.8687273950490635e-12 relative error 6.5721613748639095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.46000000000075 y[1] (closed_form) 28.462433443489147 y[1] (numeric) 28.462433443487296 absolute error 1.850963826655061e-12 relative error 6.503181923394093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.470000000000745 y[1] (closed_form) 28.49091011289427 y[1] (numeric) 28.490910112892436 absolute error 1.8332002582610585e-12 relative error 6.434333796277705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.48000000000074 y[1] (closed_form) 28.519415273211873 y[1] (numeric) 28.519415273210065 absolute error 1.808331262509455e-12 relative error 6.340702448440485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.490000000000734 y[1] (closed_form) 28.54794895294713 y[1] (numeric) 28.54794895294534 absolute error 1.7905676941154525e-12 relative error 6.272141291364486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.500000000000728 y[1] (closed_form) 28.576511180633723 y[1] (numeric) 28.576511180631943 absolute error 1.779909553079051e-12 relative error 6.2285754262588016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.510000000000723 y[1] (closed_form) 28.605101984833873 y[1] (numeric) 28.605101984832118 absolute error 1.7550405573274475e-12 relative error 6.1354109426281774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.520000000000717 y[1] (closed_form) 28.63372139413839 y[1] (numeric) 28.633721394136654 absolute error 1.737276988933445e-12 relative error 6.0672413655917005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.530000000000712 y[1] (closed_form) 28.66236943716669 y[1] (numeric) 28.662369437164973 absolute error 1.715960706860642e-12 relative error 5.986806884972825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.540000000000706 y[1] (closed_form) 28.691046142566815 y[1] (numeric) 28.69104614256511 absolute error 1.7053025658242404e-12 relative error 5.9436751011117966e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.5500000000007 y[1] (closed_form) 28.719751539015476 y[1] (numeric) 28.719751539013785 absolute error 1.6910917111090384e-12 relative error 5.888253276884058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.560000000000695 y[1] (closed_form) 28.74848565521807 y[1] (numeric) 28.74848565521639 absolute error 1.680433570072637e-12 relative error 5.8452942190630675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.57000000000069 y[1] (closed_form) 28.77724851990871 y[1] (numeric) 28.777248519907047 absolute error 1.6626700016786344e-12 relative error 5.777724025729437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.580000000000684 y[1] (closed_form) 28.80604016185027 y[1] (numeric) 28.806040161848625 absolute error 1.644906433284632e-12 relative error 5.7102830657824655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.590000000000678 y[1] (closed_form) 28.834860609834394 y[1] (numeric) 28.834860609832766 absolute error 1.6271428648906294e-12 relative error 5.642971148387232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.600000000000673 y[1] (closed_form) 28.863709892681527 y[1] (numeric) 28.863709892679914 absolute error 1.6129320101754274e-12 relative error 5.588096665925785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.610000000000667 y[1] (closed_form) 28.892588039240962 y[1] (numeric) 28.89258803923936 absolute error 1.602273869139026e-12 relative error 5.545622520775468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.620000000000662 y[1] (closed_form) 28.92149507839084 y[1] (numeric) 28.921495078389253 absolute error 1.588063014423824e-12 relative error 5.490943708544205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.630000000000656 y[1] (closed_form) 28.950431039038207 y[1] (numeric) 28.95043103903664 absolute error 1.566746732351021e-12 relative error 5.41182523409873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.64000000000065 y[1] (closed_form) 28.979395950119027 y[1] (numeric) 28.979395950117475 absolute error 1.552535877635819e-12 relative error 5.357378325994549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.650000000000645 y[1] (closed_form) 29.008389840598213 y[1] (numeric) 29.00838984059667 absolute error 1.5418777365994174e-12 relative error 5.315282044512198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.66000000000064 y[1] (closed_form) 29.03741273946966 y[1] (numeric) 29.037412739468127 absolute error 1.531219595563016e-12 relative error 5.273264561486487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.670000000000634 y[1] (closed_form) 29.066464675756258 y[1] (numeric) 29.066464675754744 absolute error 1.5134560271690134e-12 relative error 5.206880313970058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.680000000000629 y[1] (closed_form) 29.09554567850996 y[1] (numeric) 29.095545678508465 absolute error 1.4956924587750109e-12 relative error 5.140623500592164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.690000000000623 y[1] (closed_form) 29.124655776811764 y[1] (numeric) 29.124655776810283 absolute error 1.4814816040598089e-12 relative error 5.086692235653213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.700000000000617 y[1] (closed_form) 29.15379499977177 y[1] (numeric) 29.153794999770305 absolute error 1.4637180356658064e-12 relative error 5.020677533327189e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.710000000000612 y[1] (closed_form) 29.182963376529205 y[1] (numeric) 29.18296337652776 absolute error 1.4459544672718039e-12 relative error 4.954789712804603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.720000000000606 y[1] (closed_form) 29.212160936252445 y[1] (numeric) 29.21216093625102 absolute error 1.4246381851990009e-12 relative error 4.876866823744687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.7300000000006 y[1] (closed_form) 29.241387708139065 y[1] (numeric) 29.241387708137648 absolute error 1.4175327578413999e-12 relative error 4.847693180603884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.740000000000595 y[1] (closed_form) 29.270643721415826 y[1] (numeric) 29.27064372141442 absolute error 1.4068746168049984e-12 relative error 4.806435520157899e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.75000000000059 y[1] (closed_form) 29.299929005338747 y[1] (numeric) 29.299929005337354 absolute error 1.3926637620897964e-12 relative error 4.753130158902565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.760000000000584 y[1] (closed_form) 29.329243589193116 y[1] (numeric) 29.329243589191737 absolute error 1.3784529073745944e-12 relative error 4.699926553450257e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.770000000000579 y[1] (closed_form) 29.358587502293517 y[1] (numeric) 29.35858750229215 absolute error 1.3677947663381929e-12 relative error 4.658925659251623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.780000000000573 y[1] (closed_form) 29.387960773983863 y[1] (numeric) 29.38796077398252 absolute error 1.3429257705865894e-12 relative error 4.569645988419294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.790000000000568 y[1] (closed_form) 29.417363433637437 y[1] (numeric) 29.417363433636115 absolute error 1.3216094885137863e-12 relative error 4.492617060992574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.800000000000562 y[1] (closed_form) 29.446795510656894 y[1] (numeric) 29.446795510655587 absolute error 1.3073986337985843e-12 relative error 4.439867262722806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.810000000000556 y[1] (closed_form) 29.47625703447432 y[1] (numeric) 29.47625703447303 absolute error 1.2896350654045818e-12 relative error 4.375165625324387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.820000000000551 y[1] (closed_form) 29.505748034551228 y[1] (numeric) 29.505748034549956 absolute error 1.2718714970105793e-12 relative error 4.310588891090705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.830000000000545 y[1] (closed_form) 29.535268540378638 y[1] (numeric) 29.535268540377388 absolute error 1.2505552149377763e-12 relative error 4.2341081586175565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.84000000000054 y[1] (closed_form) 29.564818581477045 y[1] (numeric) 29.564818581475805 absolute error 1.2398970739013748e-12 relative error 4.193826085840403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.850000000000534 y[1] (closed_form) 29.594398187396497 y[1] (numeric) 29.594398187395274 absolute error 1.2221335055073723e-12 relative error 4.129610941126852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.860000000000529 y[1] (closed_form) 29.624007387716603 y[1] (numeric) 29.624007387715395 absolute error 1.2079226507921703e-12 relative error 4.0775126571600414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.870000000000523 y[1] (closed_form) 29.653646212046567 y[1] (numeric) 29.653646212045373 absolute error 1.1937117960769683e-12 relative error 4.025514392196505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.880000000000518 y[1] (closed_form) 29.683314690025213 y[1] (numeric) 29.683314690024034 absolute error 1.1795009413617663e-12 relative error 3.973615998344437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.890000000000512 y[1] (closed_form) 29.713012851321025 y[1] (numeric) 29.713012851319863 absolute error 1.1617373729677638e-12 relative error 3.9098605677616886e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.900000000000507 y[1] (closed_form) 29.74274072563216 y[1] (numeric) 29.742740725631016 absolute error 1.1439738045737613e-12 relative error 3.846228614661223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.910000000000501 y[1] (closed_form) 29.772498342686504 y[1] (numeric) 29.772498342685374 absolute error 1.1297629498585593e-12 relative error 3.794652826426577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.920000000000496 y[1] (closed_form) 29.802285732241668 y[1] (numeric) 29.802285732240552 absolute error 1.1155520951433573e-12 relative error 3.7431762958251715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.93000000000049 y[1] (closed_form) 29.832102924085046 y[1] (numeric) 29.832102924083948 absolute error 1.0977885267493548e-12 relative error 3.6798898473330606e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.940000000000484 y[1] (closed_form) 29.86194994803384 y[1] (numeric) 29.86194994803276 absolute error 1.0800249583553523e-12 relative error 3.6167261690372733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.950000000000479 y[1] (closed_form) 29.891826833935067 y[1] (numeric) 29.891826833934005 absolute error 1.0622613899613498e-12 relative error 3.5536850787433452e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.960000000000473 y[1] (closed_form) 29.921733611665616 y[1] (numeric) 29.921733611664575 absolute error 1.0409451078885468e-12 relative error 3.478893039415044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.970000000000468 y[1] (closed_form) 29.95167031113228 y[1] (numeric) 29.95167031113125 absolute error 1.0302869668521453e-12 relative error 3.4398314222536484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.980000000000462 y[1] (closed_form) 29.98163696227174 y[1] (numeric) 29.98163696227073 absolute error 1.0089706847793423e-12 relative error 3.3652955175496578e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.990000000000457 y[1] (closed_form) 30.011633595050668 y[1] (numeric) 30.01163359504967 absolute error 9.983125437429408e-13 relative error 3.3264185389347692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.000000000000451 y[1] (closed_form) 30.04166023946569 y[1] (numeric) 30.041660239464715 absolute error 9.734435479913373e-13 relative error 3.2403120873876532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.010000000000446 y[1] (closed_form) 30.07171692554345 y[1] (numeric) 30.071716925542493 absolute error 9.556799795973347e-13 relative error 3.178002712527409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.02000000000044 y[1] (closed_form) 30.10180368334065 y[1] (numeric) 30.10180368333971 absolute error 9.379164112033322e-13 relative error 3.1158146570546095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.030000000000435 y[1] (closed_form) 30.131920542944034 y[1] (numeric) 30.131920542943117 absolute error 9.166001291305292e-13 relative error 3.041957208881492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.040000000000429 y[1] (closed_form) 30.162067534470477 y[1] (numeric) 30.16206753446957 absolute error 9.059419880941277e-13 relative error 3.003580530607788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.050000000000423 y[1] (closed_form) 30.192244688066964 y[1] (numeric) 30.192244688066072 absolute error 8.917311333789257e-13 relative error 2.953510554090631e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.060000000000418 y[1] (closed_form) 30.22245203391066 y[1] (numeric) 30.222452033909782 absolute error 8.775202786637237e-13 relative error 2.903537666894516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.070000000000412 y[1] (closed_form) 30.252689602208903 y[1] (numeric) 30.25268960220804 absolute error 8.633094239485217e-13 relative error 2.853661724957794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.080000000000407 y[1] (closed_form) 30.28295742319927 y[1] (numeric) 30.28295742319842 absolute error 8.490985692333197e-13 relative error 2.803882584409802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.090000000000401 y[1] (closed_form) 30.31325552714959 y[1] (numeric) 30.313255527148755 absolute error 8.348877145181177e-13 relative error 2.754200101570627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.100000000000396 y[1] (closed_form) 30.343583944357956 y[1] (numeric) 30.343583944357135 absolute error 8.206768598029157e-13 relative error 2.704614132950868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.11000000000039 y[1] (closed_form) 30.3739427051528 y[1] (numeric) 30.373942705151993 absolute error 8.064660050877137e-13 relative error 2.6551245352513966e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.120000000000385 y[1] (closed_form) 30.40433183989288 y[1] (numeric) 30.40433183989209 absolute error 7.887024366937112e-13 relative error 2.5940462722449026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.13000000000038 y[1] (closed_form) 30.43475137896733 y[1] (numeric) 30.434751378966563 absolute error 7.673861546209082e-13 relative error 2.5214142381699524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.140000000000374 y[1] (closed_form) 30.4652013527957 y[1] (numeric) 30.465201352794942 absolute error 7.567280135845067e-13 relative error 2.483909444160178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.150000000000368 y[1] (closed_form) 30.495681791827955 y[1] (numeric) 30.49568179182722 absolute error 7.354117315117037e-13 relative error 2.4115274304468075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.160000000000363 y[1] (closed_form) 30.526192726544544 y[1] (numeric) 30.526192726543826 absolute error 7.176481631177012e-13 relative error 2.350925873876367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.170000000000357 y[1] (closed_form) 30.55673418745641 y[1] (numeric) 30.556734187455707 absolute error 7.034373084024992e-13 relative error 2.3020696651910576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.180000000000351 y[1] (closed_form) 30.587306205105005 y[1] (numeric) 30.587306205104323 absolute error 6.821210263296962e-13 relative error 2.230078784171751e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.190000000000346 y[1] (closed_form) 30.617908810062353 y[1] (numeric) 30.61790881006169 absolute error 6.643574579356937e-13 relative error 2.16983289765811e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.20000000000034 y[1] (closed_form) 30.64854203293106 y[1] (numeric) 30.648542032930422 absolute error 6.394884621840902e-13 relative error 2.086521641052212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.210000000000335 y[1] (closed_form) 30.679205904344364 y[1] (numeric) 30.679205904343732 absolute error 6.323830348264892e-13 relative error 2.061275760520711e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.22000000000033 y[1] (closed_form) 30.709900454966125 y[1] (numeric) 30.70990045496551 absolute error 6.146194664324867e-13 relative error 2.0013723826092572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.230000000000324 y[1] (closed_form) 30.740625715490893 y[1] (numeric) 30.7406257154903 absolute error 5.933031843596837e-13 relative error 1.9300296287095575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.240000000000318 y[1] (closed_form) 30.771381716643944 y[1] (numeric) 30.771381716643365 absolute error 5.790923296444817e-13 relative error 1.881918514342358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.250000000000313 y[1] (closed_form) 30.802168489181277 y[1] (numeric) 30.802168489180712 absolute error 5.648814749292796e-13 relative error 1.8339016460080868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.260000000000307 y[1] (closed_form) 30.832986063889663 y[1] (numeric) 30.832986063889116 absolute error 5.471179065352771e-13 relative error 1.7744564389630731e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.270000000000302 y[1] (closed_form) 30.863834471586685 y[1] (numeric) 30.863834471586163 absolute error 5.222489107836736e-13 relative error 1.6921063753904497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.280000000000296 y[1] (closed_form) 30.894713743120747 y[1] (numeric) 30.894713743120242 absolute error 5.044853423896711e-13 relative error 1.6329180020384676e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.29000000000029 y[1] (closed_form) 30.92562390937113 y[1] (numeric) 30.925623909370636 absolute error 4.938272013532696e-13 relative error 1.5968221135989091e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.300000000000285 y[1] (closed_form) 30.956565001248 y[1] (numeric) 30.95656500124752 absolute error 4.796163466380676e-13 relative error 1.5493203028783463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.31000000000028 y[1] (closed_form) 30.987537049692445 y[1] (numeric) 30.987537049691987 absolute error 4.583000645652646e-13 relative error 1.4789819011117997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.320000000000274 y[1] (closed_form) 31.018540085676527 y[1] (numeric) 31.018540085676083 absolute error 4.440892098500626e-13 relative error 1.4316895915263603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.330000000000268 y[1] (closed_form) 31.04957414020328 y[1] (numeric) 31.049574140202854 absolute error 4.263256414560601e-13 relative error 1.3730482728394322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.340000000000263 y[1] (closed_form) 31.08063924430676 y[1] (numeric) 31.080639244306347 absolute error 4.121147867408581e-13 relative error 1.3259533804998808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.350000000000257 y[1] (closed_form) 31.111735429052075 y[1] (numeric) 31.11173542905168 absolute error 3.943512183468556e-13 relative error 1.267532051518448e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.360000000000252 y[1] (closed_form) 31.14286272553541 y[1] (numeric) 31.142862725535032 absolute error 3.765876499528531e-13 relative error 1.2092261821649178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.370000000000246 y[1] (closed_form) 31.174021164884063 y[1] (numeric) 31.174021164883705 absolute error 3.588240815588506e-13 relative error 1.1510355999983971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.38000000000024 y[1] (closed_form) 31.205210778256482 y[1] (numeric) 31.205210778256134 absolute error 3.481659405224491e-13 relative error 1.1157301355741781e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.390000000000235 y[1] (closed_form) 31.23643159684228 y[1] (numeric) 31.236431596841953 absolute error 3.268496584496461e-13 relative error 1.0463732306819823e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.40000000000023 y[1] (closed_form) 31.267683651862278 y[1] (numeric) 31.267683651861976 absolute error 3.019806626980426e-13 relative error 9.657916015152497e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.410000000000224 y[1] (closed_form) 31.298966974568533 y[1] (numeric) 31.298966974568252 absolute error 2.8066438062523957e-13 relative error 8.967209072851792e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.420000000000218 y[1] (closed_form) 31.33028159624437 y[1] (numeric) 31.33028159624411 absolute error 2.5934809855243657e-13 relative error 8.277873205695196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.430000000000213 y[1] (closed_form) 31.361627548204414 y[1] (numeric) 31.36162754820416 absolute error 2.5224267119483557e-13 relative error 8.043035101004429e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.440000000000207 y[1] (closed_form) 31.39300486179462 y[1] (numeric) 31.393004861794388 absolute error 2.3092638912203256e-13 relative error 7.355982332327501e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.450000000000202 y[1] (closed_form) 31.424413568392303 y[1] (numeric) 31.424413568392087 absolute error 2.1671553440683056e-13 relative error 6.896406640498459e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.460000000000196 y[1] (closed_form) 31.455853699406173 y[1] (numeric) 31.455853699405978 absolute error 1.9539925233402755e-13 relative error 6.21185659754376e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.47000000000019 y[1] (closed_form) 31.487325286276366 y[1] (numeric) 31.48732528627619 absolute error 1.7763568394002505e-13 relative error 5.641498041672244e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.480000000000185 y[1] (closed_form) 31.51882836047447 y[1] (numeric) 31.518828360474306 absolute error 1.6342482922482304e-13 relative error 5.184990614364414e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.49000000000018 y[1] (closed_form) 31.55036295350356 y[1] (numeric) 31.550362953503413 absolute error 1.4566126083082054e-13 relative error 4.616785583274736e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.500000000000174 y[1] (closed_form) 31.58192909689823 y[1] (numeric) 31.5819290968981 absolute error 1.2789769243681803e-13 relative error 4.049711214422912e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.510000000000169 y[1] (closed_form) 31.613526822224628 y[1] (numeric) 31.613526822224514 absolute error 1.1368683772161603e-13 relative error 3.596145357679392e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.520000000000163 y[1] (closed_form) 31.645156161080482 y[1] (numeric) 31.64515616108039 absolute error 9.237055564881302e-14 relative error 2.9189476954585883e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.530000000000157 y[1] (closed_form) 31.676817145095136 y[1] (numeric) 31.676817145095058 absolute error 7.815970093361102e-14 relative error 2.467410174942824e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.540000000000152 y[1] (closed_form) 31.70850980592958 y[1] (numeric) 31.708509805929516 absolute error 6.394884621840902e-14 relative error 2.0167723620505938e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.550000000000146 y[1] (closed_form) 31.740234175276466 y[1] (numeric) 31.740234175276417 absolute error 4.973799150320701e-14 relative error 1.5670329093523073e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.56000000000014 y[1] (closed_form) 31.771990284860173 y[1] (numeric) 31.77199028486014 absolute error 3.197442310920451e-14 relative error 1.0063714240917667e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.570000000000135 y[1] (closed_form) 31.803778166436814 y[1] (numeric) 31.803778166436796 absolute error 1.7763568394002505e-14 relative error 5.585364198253894e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.58000000000013 y[1] (closed_form) 31.835597851794276 y[1] (numeric) 31.83559785179427 absolute error 7.105427357601002e-15 relative error 2.231912650322832e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.590000000000124 y[1] (closed_form) 31.867449372752237 y[1] (numeric) 31.867449372752247 absolute error 1.0658141036401503e-14 relative error 3.3445227798854145e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.600000000000119 y[1] (closed_form) 31.899332761162228 y[1] (numeric) 31.899332761162253 absolute error 2.4868995751603507e-14 relative error 7.796086500555827e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.610000000000113 y[1] (closed_form) 31.931248048907634 y[1] (numeric) 31.931248048907683 absolute error 4.973799150320701e-14 relative error 1.5576588621599006e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.620000000000108 y[1] (closed_form) 31.963195267903757 y[1] (numeric) 31.96319526790382 absolute error 6.394884621840902e-14 relative error 2.0007025481155212e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.630000000000102 y[1] (closed_form) 31.995174450097807 y[1] (numeric) 31.995174450097895 absolute error 8.881784197001252e-14 relative error 2.775976174424047e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.640000000000096 y[1] (closed_form) 32.027185627468974 y[1] (numeric) 32.02718562746907 absolute error 9.947598300641403e-14 relative error 3.1059857760681845e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.650000000000091 y[1] (closed_form) 32.05922883202844 y[1] (numeric) 32.05922883202855 absolute error 1.1368683772161603e-13 relative error 3.546150106019967e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.660000000000085 y[1] (closed_form) 32.09130409581941 y[1] (numeric) 32.09130409581954 absolute error 1.2789769243681803e-13 relative error 3.98543144444789e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.67000000000008 y[1] (closed_form) 32.123411450917146 y[1] (numeric) 32.1234114509173 absolute error 1.5631940186722204e-13 relative error 4.86621422840067e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.680000000000074 y[1] (closed_form) 32.15555092942901 y[1] (numeric) 32.15555092942918 absolute error 1.7053025658242404e-13 relative error 5.303291396147513e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.690000000000069 y[1] (closed_form) 32.18772256349448 y[1] (numeric) 32.187722563494674 absolute error 1.9184653865522705e-13 relative error 5.960239599952582e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.700000000000063 y[1] (closed_form) 32.219926385285206 y[1] (numeric) 32.21992638528541 absolute error 2.0605739337042905e-13 relative error 6.395340290551848e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.710000000000058 y[1] (closed_form) 32.25216242700499 y[1] (numeric) 32.25216242700522 absolute error 2.2737367544323206e-13 relative error 7.049873817231253e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.720000000000052 y[1] (closed_form) 32.2844307208899 y[1] (numeric) 32.28443072089014 absolute error 2.4158453015843406e-13 relative error 7.483004183874763e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.730000000000047 y[1] (closed_form) 32.316731299208215 y[1] (numeric) 32.31673129920848 absolute error 2.6290081223123707e-13 relative error 8.135130059941376e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.740000000000041 y[1] (closed_form) 32.34906419426053 y[1] (numeric) 32.349064194260805 absolute error 2.7711166694643907e-13 relative error 8.566296239122895e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.750000000000036 y[1] (closed_form) 32.381429438379726 y[1] (numeric) 32.381429438380025 absolute error 2.984279490192421e-13 relative error 9.21602147265104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.76000000000003 y[1] (closed_form) 32.41382706393106 y[1] (numeric) 32.41382706393138 absolute error 3.197442310920451e-13 relative error 9.864439347485905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.770000000000024 y[1] (closed_form) 32.446257103312156 y[1] (numeric) 32.4462571033125 absolute error 3.410605131648481e-13 relative error 1.0511551827962067e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.780000000000019 y[1] (closed_form) 32.47871958895307 y[1] (numeric) 32.478719588953425 absolute error 3.552713678800501e-13 relative error 1.0938589093915142e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.790000000000013 y[1] (closed_form) 32.51121455331627 y[1] (numeric) 32.51121455331664 absolute error 3.694822225952521e-13 relative error 1.1364762211184861e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.800000000000008 y[1] (closed_form) 32.54374202889673 y[1] (numeric) 32.54374202889713 absolute error 3.979039320256561e-13 relative error 1.222674183172738e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.810000000000002 y[1] (closed_form) 32.57630204822194 y[1] (numeric) 32.57630204822237 absolute error 4.263256414560601e-13 relative error 1.3086987001317099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.819999999999997 y[1] (closed_form) 32.60889464385191 y[1] (numeric) 32.60889464385235 absolute error 4.405364961712621e-13 relative error 1.3509703440816292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.829999999999991 y[1] (closed_form) 32.64151984837924 y[1] (numeric) 32.641519848379694 absolute error 4.547473508864641e-13 relative error 1.3931561796104413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.839999999999986 y[1] (closed_form) 32.67417769442914 y[1] (numeric) 32.67417769442961 absolute error 4.689582056016661e-13 relative error 1.4352563360198112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.84999999999998 y[1] (closed_form) 32.70686821465945 y[1] (numeric) 32.70686821465995 absolute error 4.973799150320701e-13 relative error 1.5207200878044964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.859999999999975 y[1] (closed_form) 32.73959144176071 y[1] (numeric) 32.739591441761235 absolute error 5.258016244624741e-13 relative error 1.6060115636989664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.869999999999969 y[1] (closed_form) 32.77234740845614 y[1] (numeric) 32.77234740845667 absolute error 5.258016244624741e-13 relative error 1.6044063548734482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.879999999999963 y[1] (closed_form) 32.805136147501706 y[1] (numeric) 32.80513614750226 absolute error 5.542233338928781e-13 relative error 1.6894407369654686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.889999999999958 y[1] (closed_form) 32.83795769168615 y[1] (numeric) 32.837957691686725 absolute error 5.755396159656812e-13 relative error 1.7526656845391916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.899999999999952 y[1] (closed_form) 32.870812073831026 y[1] (numeric) 32.870812073831615 absolute error 5.897504706808832e-13 relative error 1.7941463367447283e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.909999999999947 y[1] (closed_form) 32.903699326790715 y[1] (numeric) 32.903699326791326 absolute error 6.110667527536862e-13 relative error 1.857136933706861e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.919999999999941 y[1] (closed_form) 32.936619483452475 y[1] (numeric) 32.936619483453114 absolute error 6.394884621840902e-13 relative error 1.941572851777859e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.929999999999936 y[1] (closed_form) 32.96957257673646 y[1] (numeric) 32.969572576737114 absolute error 6.536993168992922e-13 relative error 1.9827351882643045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.93999999999993 y[1] (closed_form) 33.00255863959577 y[1] (numeric) 33.002558639596444 absolute error 6.750155989720952e-13 relative error 2.045343230334347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.949999999999925 y[1] (closed_form) 33.035577705016465 y[1] (numeric) 33.03557770501717 absolute error 7.034373084024992e-13 relative error 2.1293325477268164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.95999999999992 y[1] (closed_form) 33.068629806017626 y[1] (numeric) 33.06862980601834 absolute error 7.176481631177012e-13 relative error 2.1701781033186564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.969999999999914 y[1] (closed_form) 33.10171497565135 y[1] (numeric) 33.10171497565208 absolute error 7.318590178329032e-13 relative error 2.2109398814268e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.979999999999908 y[1] (closed_form) 33.134833247002796 y[1] (numeric) 33.13483324700354 absolute error 7.460698725481052e-13 relative error 2.2516180087177313e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.989999999999903 y[1] (closed_form) 33.16798465319025 y[1] (numeric) 33.16798465319102 absolute error 7.673861546209082e-13 relative error 2.313635159461211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.999999999999897 y[1] (closed_form) 33.201169227365135 y[1] (numeric) 33.20116922736592 absolute error 7.815970093361102e-13 relative error 2.3541249525992617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = exp ( 0.1 * x + 0.2 ) ; Iterations 9001 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.02222222222106%