##############ECHO OF PROBLEM################# ##############temp/div_c_exppostode.ode################# diff ( y , x , 1 ) = 2.0 / exp ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(1.0) # ELIMINATED in preodein.rb x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(-2.0)/exp(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 1.0 y[1] (closed_form) -0.7357588823428847 y[1] (numeric) -0.7357588823428847 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.009999999999999 y[1] (closed_form) -0.7284379591430474 y[1] (numeric) -0.7284379591430465 absolute error 8.881784197001252e-16 relative error 1.219291785322391e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999978 y[1] (closed_form) -0.7211898803461582 y[1] (numeric) -0.7211898803461563 absolute error 1.887379141862766e-15 relative error 2.617034976914621e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999967 y[1] (closed_form) -0.7140139211382971 y[1] (numeric) -0.7140139211382944 absolute error 2.6645352591003757e-15 relative error 3.7317693398085483e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999956 y[1] (closed_form) -0.7069093639175634 y[1] (numeric) -0.70690936391756 absolute error 3.4416913763379853e-15 relative error 4.86864590004121e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999945 y[1] (closed_form) -0.6998754982223147 y[1] (numeric) -0.6998754982223104 absolute error 4.218847493575595e-15 relative error 6.027997128477104e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999934 y[1] (closed_form) -0.6929116206601195 y[1] (numeric) -0.6929116206601145 absolute error 4.9960036108132044e-15 relative error 7.210159942264552e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999923 y[1] (closed_form) -0.6860170348374186 y[1] (numeric) -0.6860170348374128 absolute error 5.773159728050814e-15 relative error 8.415475760625993e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999912 y[1] (closed_form) -0.6791910512898842 y[1] (numeric) -0.6791910512898777 absolute error 6.5503158452884236e-15 relative error 9.644290561320567e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.08999999999999 y[1] (closed_form) -0.6724329874134733 y[1] (numeric) -0.6724329874134659 absolute error 7.438494264988549e-15 relative error 1.1062060315632138e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.099999999999989 y[1] (closed_form) -0.6657421673961664 y[1] (numeric) -0.6657421673961583 absolute error 8.104628079763643e-15 relative error 1.2173824156973946e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999879 y[1] (closed_form) -0.6591179221503861 y[1] (numeric) -0.6591179221503772 absolute error 8.881784197001252e-15 relative error 1.3475258217868274e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999868 y[1] (closed_form) -0.6525595892460876 y[1] (numeric) -0.6525595892460779 absolute error 9.658940314238862e-15 relative error 1.4801621910725406e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999857 y[1] (closed_form) -0.6460665128445151 y[1] (numeric) -0.6460665128445048 absolute error 1.0325074129013956e-14 relative error 1.5981441420875544e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999846 y[1] (closed_form) -0.6396380436326177 y[1] (numeric) -0.6396380436326066 absolute error 1.1102230246251565e-14 relative error 1.735705115849588e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999835 y[1] (closed_form) -0.6332735387581169 y[1] (numeric) -0.6332735387581052 absolute error 1.1657341758564144e-14 relative error 1.840806704386356e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999824 y[1] (closed_form) -0.6269723617652216 y[1] (numeric) -0.6269723617652093 absolute error 1.2323475573339238e-14 relative error 1.965553240439956e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999813 y[1] (closed_form) -0.6207338825309816 y[1] (numeric) -0.6207338825309686 absolute error 1.2989609388114332e-14 relative error 2.0926212912932144e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999802 y[1] (closed_form) -0.6145574772022746 y[1] (numeric) -0.6145574772022612 absolute error 1.3433698597964394e-14 relative error 2.18591410833048e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999979 y[1] (closed_form) -0.6084425281334208 y[1] (numeric) -0.6084425281334067 absolute error 1.4099832412739488e-14 relative error 2.317364707558319e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.199999999999978 y[1] (closed_form) -0.6023884238244175 y[1] (numeric) -0.6023884238244026 absolute error 1.4876988529977098e-14 relative error 2.4696670688866694e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999769 y[1] (closed_form) -0.5963945588597885 y[1] (numeric) -0.5963945588597731 absolute error 1.5432100042289676e-14 relative error 2.5875655324209187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999758 y[1] (closed_form) -0.5904603338480428 y[1] (numeric) -0.5904603338480265 absolute error 1.6209256159527285e-14 relative error 2.7451896817337774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999747 y[1] (closed_form) -0.5845851553617336 y[1] (numeric) -0.5845851553617168 absolute error 1.6764367671839864e-14 relative error 2.867737491805842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999736 y[1] (closed_form) -0.5787684358781165 y[1] (numeric) -0.5787684358780991 absolute error 1.7430501486614958e-14 relative error 3.0116537817355445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999725 y[1] (closed_form) -0.5730095937203961 y[1] (numeric) -0.5730095937203777 absolute error 1.8318679906315083e-14 relative error 3.1969237700501414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999714 y[1] (closed_form) -0.567308052999557 y[1] (numeric) -0.5673080529995381 absolute error 1.887379141862766e-14 relative error 3.3269034907640207e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999703 y[1] (closed_form) -0.5616632435567762 y[1] (numeric) -0.5616632435567568 absolute error 1.942890293094024e-14 relative error 3.459172939269659e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999692 y[1] (closed_form) -0.5560746009064054 y[1] (numeric) -0.5560746009063854 absolute error 1.9984014443252818e-14 relative error 3.593765011147558e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999968 y[1] (closed_form) -0.5505415661795222 y[1] (numeric) -0.5505415661795017 absolute error 2.0539125955565396e-14 relative error 3.730713031914458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.299999999999967 y[1] (closed_form) -0.5450635860680433 y[1] (numeric) -0.5450635860680219 absolute error 2.142730437526552e-14 relative error 3.931156827011121e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999659 y[1] (closed_form) -0.5396401127693922 y[1] (numeric) -0.5396401127693702 absolute error 2.19824158875781e-14 relative error 4.0735325946705494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999648 y[1] (closed_form) -0.5342706039317195 y[1] (numeric) -0.5342706039316969 absolute error 2.2648549702353193e-14 relative error 4.239153255987055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999637 y[1] (closed_form) -0.5289545225996671 y[1] (numeric) -0.5289545225996439 absolute error 2.3203661214665772e-14 relative error 4.386702490154751e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999626 y[1] (closed_form) -0.5236913371606716 y[1] (numeric) -0.5236913371606476 absolute error 2.398081733190338e-14 relative error 4.579189234238932e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999615 y[1] (closed_form) -0.518480521291803 y[1] (numeric) -0.5184805212917785 absolute error 2.453592884421596e-14 relative error 4.732275917151965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999604 y[1] (closed_form) -0.5133215539071321 y[1] (numeric) -0.5133215539071071 absolute error 2.4980018054066022e-14 relative error 4.8663489510485855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999593 y[1] (closed_form) -0.5082139191056213 y[1] (numeric) -0.5082139191055959 absolute error 2.5424107263916085e-14 relative error 5.0026389101382e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999581 y[1] (closed_form) -0.5031571061195341 y[1] (numeric) -0.503157106119508 absolute error 2.609024107869118e-14 relative error 5.1853070862707775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999957 y[1] (closed_form) -0.49815060926335775 y[1] (numeric) -0.49815060926333116 absolute error 2.65898414397725e-14 relative error 5.3377113156786736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.399999999999956 y[1] (closed_form) -0.4931939278832347 y[1] (numeric) -0.49319392788320754 absolute error 2.7144952952085077e-14 relative error 5.503910615564541e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999548 y[1] (closed_form) -0.48828656630689615 y[1] (numeric) -0.48828656630686856 absolute error 2.758904216193514e-14 relative error 5.650174316816034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999537 y[1] (closed_form) -0.48342803379409527 y[1] (numeric) -0.48342803379406696 absolute error 2.8310687127941492e-14 relative error 5.856236119728166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999526 y[1] (closed_form) -0.47861784448753175 y[1] (numeric) -0.4786178444875029 absolute error 2.886579864025407e-14 relative error 6.031074472612155e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999515 y[1] (closed_form) -0.4738555173642665 y[1] (numeric) -0.4738555173642372 absolute error 2.930988785010413e-14 relative error 6.18540605227833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999504 y[1] (closed_form) -0.46914057618761856 y[1] (numeric) -0.46914057618758875 absolute error 2.980948821118545e-14 relative error 6.354063094142608e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999493 y[1] (closed_form) -0.4644725494595412 y[1] (numeric) -0.4644725494595108 absolute error 3.042011087472929e-14 relative error 6.549388313717578e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999482 y[1] (closed_form) -0.4598509703734715 y[1] (numeric) -0.45985097037344064 absolute error 3.086420008457935e-14 relative error 6.711783180431859e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999471 y[1] (closed_form) -0.45527537676764956 y[1] (numeric) -0.4552753767676182 absolute error 3.136380044566067e-14 relative error 6.888973585247777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999946 y[1] (closed_form) -0.45074531107890176 y[1] (numeric) -0.45074531107886995 absolute error 3.1807889655510735e-14 relative error 7.056732232971104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.499999999999945 y[1] (closed_form) -0.4462603202968843 y[1] (numeric) -0.44626032029685203 absolute error 3.22519788653608e-14 relative error 7.227167058882689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999438 y[1] (closed_form) -0.44181995591878115 y[1] (numeric) -0.4418199559187486 absolute error 3.2529534621517087e-14 relative error 7.362622304796238e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999427 y[1] (closed_form) -0.4374237739044545 y[1] (numeric) -0.43742377390442144 absolute error 3.3084646133829665e-14 relative error 7.563522631272499e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999416 y[1] (closed_form) -0.4330713346320394 y[1] (numeric) -0.4330713346320058 absolute error 3.3584246494910985e-14 relative error 7.754899437859575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999405 y[1] (closed_form) -0.4287622028539814 y[1] (numeric) -0.4287622028539473 absolute error 3.4139358007223564e-14 relative error 7.962305860913306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999394 y[1] (closed_form) -0.42449594765351184 y[1] (numeric) -0.42449594765347715 absolute error 3.469446951953614e-14 relative error 8.173097932104397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999383 y[1] (closed_form) -0.4202721424015554 y[1] (numeric) -0.4202721424015203 absolute error 3.5138558729386205e-14 relative error 8.360905990245848e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5699999999999372 y[1] (closed_form) -0.4160903647140671 y[1] (numeric) -0.4160903647140315 absolute error 3.558264793923627e-14 relative error 8.551663522342867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999361 y[1] (closed_form) -0.41195019640979325 y[1] (numeric) -0.4119501964097573 absolute error 3.597122599785507e-14 relative error 8.731935634780518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.589999999999935 y[1] (closed_form) -0.4078512234684534 y[1] (numeric) -0.407851223468417 absolute error 3.6415315207705135e-14 relative error 8.92857814622243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.599999999999934 y[1] (closed_form) -0.4037930359893375 y[1] (numeric) -0.4037930359893007 absolute error 3.680389326632394e-14 relative error 9.114543834603373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999328 y[1] (closed_form) -0.3997752281503159 y[1] (numeric) -0.39977522815027866 absolute error 3.7247982476174e-14 relative error 9.317231247296973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999317 y[1] (closed_form) -0.3957973981672564 y[1] (numeric) -0.39579739816721876 absolute error 3.7636560534792807e-14 relative error 9.509046979355917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999306 y[1] (closed_form) -0.3918591482538459 y[1] (numeric) -0.39185914825380785 absolute error 3.802513859341161e-14 relative error 9.703777176787762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999295 y[1] (closed_form) -0.38796008458181114 y[1] (numeric) -0.38796008458177267 absolute error 3.8469227803261674e-14 relative error 9.915769516528567e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999284 y[1] (closed_form) -0.38409981724153575 y[1] (numeric) -0.3840998172414968 absolute error 3.8968828164342995e-14 relative error 1.0145495107027868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999273 y[1] (closed_form) -0.3802779602030687 y[1] (numeric) -0.3802779602030293 absolute error 3.941291737419306e-14 relative error 1.0364239187868403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999262 y[1] (closed_form) -0.3764941312775213 y[1] (numeric) -0.37649413127748155 absolute error 3.9745984281580604e-14 relative error 1.0556866888393289e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.679999999999925 y[1] (closed_form) -0.37274795207884787 y[1] (numeric) -0.37274795207880773 absolute error 4.013456234019941e-14 relative error 1.0767212030640397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999924 y[1] (closed_form) -0.36903904798600656 y[1] (numeric) -0.369039047985966 absolute error 4.057865155004947e-14 relative error 1.0995760955785946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.699999999999923 y[1] (closed_form) -0.36536704810549747 y[1] (numeric) -0.36536704810545634 absolute error 4.113376306236205e-14 relative error 1.1258202751356201e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999218 y[1] (closed_form) -0.36173158523427246 y[1] (numeric) -0.36173158523423093 absolute error 4.1522341120980855e-14 relative error 1.1478771225932415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999207 y[1] (closed_form) -0.3581322958230148 y[1] (numeric) -0.35813229582297285 absolute error 4.196643033083092e-14 relative error 1.1718136236328232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999196 y[1] (closed_form) -0.3545688199397841 y[1] (numeric) -0.3545688199397418 absolute error 4.2299497238218464e-14 relative error 1.1929841221064537e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999185 y[1] (closed_form) -0.35104080123402237 y[1] (numeric) -0.3510408012339796 absolute error 4.2743586448068527e-14 relative error 1.2176244555564751e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999174 y[1] (closed_form) -0.3475478869009189 y[1] (numeric) -0.3475478869008758 absolute error 4.313216450668733e-14 relative error 1.2410423464604091e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999163 y[1] (closed_form) -0.3440897276461299 y[1] (numeric) -0.3440897276460863 absolute error 4.3576253716537394e-14 relative error 1.2664212330497776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999152 y[1] (closed_form) -0.3406659776508478 y[1] (numeric) -0.3406659776508038 absolute error 4.39648317751562e-14 relative error 1.2905554020488722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999914 y[1] (closed_form) -0.33727629453721997 y[1] (numeric) -0.3372762945371757 absolute error 4.424238753131249e-14 relative error 1.3117550283816386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.789999999999913 y[1] (closed_form) -0.33392033933411047 y[1] (numeric) -0.33392033933406584 absolute error 4.463096558993129e-14 relative error 1.336575234648253e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.799999999999912 y[1] (closed_form) -0.3305977764432022 y[1] (numeric) -0.3305977764431572 absolute error 4.50195436485501e-14 relative error 1.3617618404122753e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999108 y[1] (closed_form) -0.32730827360543735 y[1] (numeric) -0.32730827360539194 absolute error 4.54081217071689e-14 relative error 1.3873197034398023e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999097 y[1] (closed_form) -0.3240515018677908 y[1] (numeric) -0.3240515018677451 absolute error 4.568567746332519e-14 relative error 1.4098276724532636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999086 y[1] (closed_form) -0.32082713555037484 y[1] (numeric) -0.3208271355503289 absolute error 4.596323321948148e-14 relative error 1.4326479317477975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999075 y[1] (closed_form) -0.3176348522138708 y[1] (numeric) -0.31763485221382454 absolute error 4.624078897563777e-14 relative error 1.4557844850256795e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999064 y[1] (closed_form) -0.3144743326272847 y[1] (numeric) -0.31447433262723806 absolute error 4.6629367034256575e-14 relative error 1.4827717939550174e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999053 y[1] (closed_form) -0.31134526073602414 y[1] (numeric) -0.31134526073597735 absolute error 4.679590048795035e-14 relative error 1.5030227335827836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999042 y[1] (closed_form) -0.3082473236302924 y[1] (numeric) -0.3082473236302454 absolute error 4.701794509287538e-14 relative error 1.525331819239672e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999903 y[1] (closed_form) -0.3051802115137973 y[1] (numeric) -0.30518021151374997 absolute error 4.7351012000262926e-14 relative error 1.551575436866822e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.889999999999902 y[1] (closed_form) -0.3021436176727713 y[1] (numeric) -0.3021436176727236 absolute error 4.773959005888173e-14 relative error 1.580029736407831e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999009 y[1] (closed_form) -0.29913723844529977 y[1] (numeric) -0.2991372384452517 absolute error 4.807265696626928e-14 relative error 1.6070435501817285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999998998 y[1] (closed_form) -0.29616077319095463 y[1] (numeric) -0.29616077319090633 absolute error 4.829470157119431e-14 relative error 1.6306920410440544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998987 y[1] (closed_form) -0.29321392426073 y[1] (numeric) -0.29321392426068144 absolute error 4.85722573273506e-14 relative error 1.656546749947641e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998976 y[1] (closed_form) -0.2902963969672772 y[1] (numeric) -0.2902963969672283 absolute error 4.8905324234738146e-14 relative error 1.6846686609152387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998965 y[1] (closed_form) -0.2874078995554356 y[1] (numeric) -0.28740789955538637 absolute error 4.923839114212569e-14 relative error 1.7131885107642466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998954 y[1] (closed_form) -0.2845481431730569 y[1] (numeric) -0.28454814317300736 absolute error 4.951594689828198e-14 relative error 1.7401606050251858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998943 y[1] (closed_form) -0.28171684184211976 y[1] (numeric) -0.2817168418420699 absolute error 4.984901380566953e-14 relative error 1.7694722644095947e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998932 y[1] (closed_form) -0.27891371243013163 y[1] (numeric) -0.27891371243008156 absolute error 5.007105841059456e-14 relative error 1.79521680645721e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999892 y[1] (closed_form) -0.2761384746218154 y[1] (numeric) -0.2761384746217651 absolute error 5.029310301551959e-14 relative error 1.821300095337977e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.989999999999891 y[1] (closed_form) -0.2733908508910775 y[1] (numeric) -0.2733908508910269 absolute error 5.062616992290714e-14 relative error 1.8517872766370395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998899 y[1] (closed_form) -0.27067056647325516 y[1] (numeric) -0.2706705664732043 absolute error 5.084821452783217e-14 relative error 1.8786015483828552e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998888 y[1] (closed_form) -0.2679773493376397 y[1] (numeric) -0.2679773493375886 absolute error 5.112577028398846e-14 relative error 1.9078392412775242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998877 y[1] (closed_form) -0.26531093016027324 y[1] (numeric) -0.26531093016022184 absolute error 5.140332604014475e-14 relative error 1.937474871807664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998866 y[1] (closed_form) -0.26267104229701593 y[1] (numeric) -0.2626710422969642 absolute error 5.1736392947532295e-14 relative error 1.9696268189712072e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998855 y[1] (closed_form) -0.2600574217568816 y[1] (numeric) -0.26005742175682955 absolute error 5.206945985491984e-14 relative error 2.0022293347043068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998844 y[1] (closed_form) -0.2574698071756382 y[1] (numeric) -0.25746980717558593 absolute error 5.229150445984487e-14 relative error 2.0309761767201375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0599999999998833 y[1] (closed_form) -0.25490793978967125 y[1] (numeric) -0.25490793978961873 absolute error 5.2513549064769904e-14 relative error 2.0600986029740658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999882 y[1] (closed_form) -0.25237156341010725 y[1] (numeric) -0.25237156341005457 absolute error 5.268008251846368e-14 relative error 2.087401678962452e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999881 y[1] (closed_form) -0.24986042439719455 y[1] (numeric) -0.24986042439714168 absolute error 5.287437154777308e-14 relative error 2.1161563170852742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.08999999999988 y[1] (closed_form) -0.24737427163493936 y[1] (numeric) -0.24737427163488615 absolute error 5.320743845516063e-14 relative error 2.1508881300995233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.099999999999879 y[1] (closed_form) -0.2449128565059935 y[1] (numeric) -0.24491285650594002 absolute error 5.3484994211316916e-14 relative error 2.183837752511291e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998778 y[1] (closed_form) -0.24247593286679298 y[1] (numeric) -0.24247593286673924 absolute error 5.3734794391857577e-14 relative error 2.2160877476189532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998766 y[1] (closed_form) -0.24006325702294307 y[1] (numeric) -0.24006325702288908 absolute error 5.3984594572398237e-14 relative error 2.2487653979983652e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998755 y[1] (closed_form) -0.2376745877048489 y[1] (numeric) -0.23767458770479455 absolute error 5.434541705540141e-14 relative error 2.2865472316665636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998744 y[1] (closed_form) -0.23530968604358793 y[1] (numeric) -0.2353096860435334 absolute error 5.4539706084710815e-14 relative error 2.3177841508236117e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998733 y[1] (closed_form) -0.23296831554702344 y[1] (numeric) -0.2329683155469686 absolute error 5.484501741648273e-14 relative error 2.3541835415559998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1599999999998722 y[1] (closed_form) -0.2306502420761545 y[1] (numeric) -0.23065024207609938 absolute error 5.512257317263902e-14 relative error 2.3898771003430826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999871 y[1] (closed_form) -0.2283552338217024 y[1] (numeric) -0.22835523382164702 absolute error 5.537237335317968e-14 relative error 2.424834869185171e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.17999999999987 y[1] (closed_form) -0.22608306128092912 y[1] (numeric) -0.22608306128087344 absolute error 5.56776846849516e-14 relative error 2.4627092524975557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999869 y[1] (closed_form) -0.22383349723468707 y[1] (numeric) -0.22383349723463114 absolute error 5.592748486549226e-14 relative error 2.498619981210984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.199999999999868 y[1] (closed_form) -0.22160631672469705 y[1] (numeric) -0.22160631672464087 absolute error 5.617728504603292e-14 relative error 2.5350037795096933e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998667 y[1] (closed_form) -0.21940129703105202 y[1] (numeric) -0.21940129703099556 absolute error 5.645484080218921e-14 relative error 2.573131588834642e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998656 y[1] (closed_form) -0.21721821764994514 y[1] (numeric) -0.2172182176498884 absolute error 5.67323965583455e-14 relative error 2.6117697296352817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998645 y[1] (closed_form) -0.21505686027161902 y[1] (numeric) -0.21505686027156204 absolute error 5.698219673888616e-14 relative error 2.649633992931779e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998634 y[1] (closed_form) -0.21291700875853473 y[1] (numeric) -0.21291700875847752 absolute error 5.720424134381119e-14 relative error 2.686691949945881e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2499999999998623 y[1] (closed_form) -0.2107984491237577 y[1] (numeric) -0.21079844912370027 absolute error 5.742628594873622e-14 relative error 2.7242271557236084e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2599999999998612 y[1] (closed_form) -0.20870096950955896 y[1] (numeric) -0.20870096950950132 absolute error 5.764833055366125e-14 relative error 2.7622454600538322e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.26999999999986 y[1] (closed_form) -0.2066243601662293 y[1] (numeric) -0.20662436016617144 absolute error 5.784261958297066e-14 relative error 2.7994094953971677e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999859 y[1] (closed_form) -0.20456841343110377 y[1] (numeric) -0.2045684134310457 absolute error 5.806466418789569e-14 relative error 2.8383983242579715e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999858 y[1] (closed_form) -0.2025329237077956 y[1] (numeric) -0.20253292370773734 absolute error 5.825895321720509e-14 relative error 2.876517661951012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.299999999999857 y[1] (closed_form) -0.20051768744563617 y[1] (numeric) -0.2005176874455777 absolute error 5.845324224651449e-14 relative error 2.91511651621068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998557 y[1] (closed_form) -0.19852250311931996 y[1] (numeric) -0.19852250311926126 absolute error 5.870304242705515e-14 relative error 2.9569968897567384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998546 y[1] (closed_form) -0.19654717120875165 y[1] (numeric) -0.19654717120869272 absolute error 5.892508703198018e-14 relative error 2.998012470471843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998535 y[1] (closed_form) -0.19459149417909405 y[1] (numeric) -0.19459149417903487 absolute error 5.917488721252084e-14 relative error 3.0409801549732024e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998524 y[1] (closed_form) -0.19265527646101446 y[1] (numeric) -0.19265527646095504 absolute error 5.94246873930615e-14 relative error 3.084508687468346e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3499999999998513 y[1] (closed_form) -0.1907383244311276 y[1] (numeric) -0.19073832443106792 absolute error 5.967448757360216e-14 relative error 3.1286050012015086e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.35999999999985 y[1] (closed_form) -0.18884044639263298 y[1] (numeric) -0.18884044639257308 absolute error 5.98965321785272e-14 relative error 3.171806322359121e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999849 y[1] (closed_form) -0.18696145255614516 y[1] (numeric) -0.18696145255608507 absolute error 6.00908212078366e-14 relative error 3.214075435672555e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999848 y[1] (closed_form) -0.1851011550207147 y[1] (numeric) -0.1851011550206544 absolute error 6.0285110237146e-14 relative error 3.256873801268257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999847 y[1] (closed_form) -0.18325936775503776 y[1] (numeric) -0.18325936775497725 absolute error 6.050715484207103e-14 relative error 3.3017223393977194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.399999999999846 y[1] (closed_form) -0.181435906578853 y[1] (numeric) -0.18143590657879227 absolute error 6.072919944699606e-14 relative error 3.347143384796484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998447 y[1] (closed_form) -0.17963058914452318 y[1] (numeric) -0.17963058914446225 absolute error 6.092348847630547e-14 relative error 3.391598767584568e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998436 y[1] (closed_form) -0.17784323491880047 y[1] (numeric) -0.17784323491873938 absolute error 6.109002192999924e-14 relative error 3.435048960838554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998425 y[1] (closed_form) -0.17607366516477285 y[1] (numeric) -0.17607366516471162 absolute error 6.122879980807738e-14 relative error 3.4774535845992865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998414 y[1] (closed_form) -0.17432170292399024 y[1] (numeric) -0.1743217029239288 absolute error 6.145084441300241e-14 relative error 3.525140208147055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4499999999998403 y[1] (closed_form) -0.17258717299876858 y[1] (numeric) -0.17258717299870696 absolute error 6.161737786669619e-14 relative error 3.570217693242813e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999839 y[1] (closed_form) -0.17086990193466992 y[1] (numeric) -0.17086990193460813 absolute error 6.178391132038996e-14 relative error 3.61584519103969e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999838 y[1] (closed_form) -0.1691697180031568 y[1] (numeric) -0.16916971800309483 absolute error 6.197820034969936e-14 relative error 3.66366989797446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999837 y[1] (closed_form) -0.16748645118441924 y[1] (numeric) -0.16748645118435707 absolute error 6.217248937900877e-14 relative error 3.7120906759526877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999836 y[1] (closed_form) -0.16581993315037258 y[1] (numeric) -0.16581993315031027 absolute error 6.231126725708691e-14 relative error 3.7577669990121396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.499999999999835 y[1] (closed_form) -0.16416999724782472 y[1] (numeric) -0.16416999724776218 absolute error 6.253331186201194e-14 relative error 3.809058470508107e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998337 y[1] (closed_form) -0.1625364784818104 y[1] (numeric) -0.16253647848174768 absolute error 6.272760089132134e-14 relative error 3.859293709155957e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998326 y[1] (closed_form) -0.1609192134990918 y[1] (numeric) -0.1609192134990289 absolute error 6.289413434501512e-14 relative error 3.9084291413946095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998315 y[1] (closed_form) -0.15931804057182292 y[1] (numeric) -0.15931804057175983 absolute error 6.308842337432452e-14 relative error 3.959904549910864e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998304 y[1] (closed_form) -0.15773279958137665 y[1] (numeric) -0.1577327995813134 absolute error 6.32549568280183e-14 relative error 4.0102601992671876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5499999999998293 y[1] (closed_form) -0.15616333200233296 y[1] (numeric) -0.1561633320022695 absolute error 6.34492458573277e-14 relative error 4.063005383131798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999828 y[1] (closed_form) -0.15460948088662604 y[1] (numeric) -0.15460948088656243 absolute error 6.361577931102147e-14 relative error 4.114610497765686e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999827 y[1] (closed_form) -0.15307109084784948 y[1] (numeric) -0.15307109084778567 absolute error 6.381006834033087e-14 relative error 4.168655752493277e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999826 y[1] (closed_form) -0.15154800804571733 y[1] (numeric) -0.15154800804565335 absolute error 6.397660179402465e-14 relative error 4.221540264305215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.589999999999825 y[1] (closed_form) -0.1500400801706802 y[1] (numeric) -0.15004008017061607 absolute error 6.414313524771842e-14 relative error 4.2750667138241653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.599999999999824 y[1] (closed_form) -0.14854715642869393 y[1] (numeric) -0.14854715642862962 absolute error 6.430966870141219e-14 relative error 4.329242662567043e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998227 y[1] (closed_form) -0.14706908752614026 y[1] (numeric) -0.14706908752607578 absolute error 6.447620215510597e-14 relative error 4.384075759200306e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998216 y[1] (closed_form) -0.14560572565489716 y[1] (numeric) -0.1456057256548325 absolute error 6.464273560879974e-14 relative error 4.439573740527944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998205 y[1] (closed_form) -0.14415692447755807 y[1] (numeric) -0.14415692447749326 absolute error 6.480926906249351e-14 relative error 4.4957444324905e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998194 y[1] (closed_form) -0.1427225391127979 y[1] (numeric) -0.14272253911273292 absolute error 6.497580251618729e-14 relative error 4.5525957511752905e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998183 y[1] (closed_form) -0.14130242612088487 y[1] (numeric) -0.14130242612081972 absolute error 6.514233596988106e-14 relative error 4.6101357038379154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999817 y[1] (closed_form) -0.1398964434893363 y[1] (numeric) -0.139896443489271 absolute error 6.530886942357483e-14 relative error 4.6683723899352054e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999816 y[1] (closed_form) -0.13850445061871744 y[1] (numeric) -0.13850445061865196 absolute error 6.547540287726861e-14 relative error 4.7273140021697095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999815 y[1] (closed_form) -0.13712630830858122 y[1] (numeric) -0.13712630830851558 absolute error 6.564193633096238e-14 relative error 4.7869688275458795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.689999999999814 y[1] (closed_form) -0.13576187874354814 y[1] (numeric) -0.13576187874348236 absolute error 6.578071420904053e-14 relative error 4.845300817713282e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998128 y[1] (closed_form) -0.1344110254795247 y[1] (numeric) -0.13441102547945874 absolute error 6.59472476627343e-14 relative error 4.9063867660752487e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998117 y[1] (closed_form) -0.13307361343005877 y[1] (numeric) -0.1330736134299927 absolute error 6.608602554081244e-14 relative error 4.966125427678879e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998106 y[1] (closed_form) -0.13174950885283088 y[1] (numeric) -0.13174950885276465 absolute error 6.622480341889059e-14 relative error 5.026569282536466e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998095 y[1] (closed_form) -0.1304385793362799 y[1] (numeric) -0.13043857933621353 absolute error 6.636358129696873e-14 relative error 5.08772647131327e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998084 y[1] (closed_form) -0.12914069378636173 y[1] (numeric) -0.12914069378629522 absolute error 6.650235917504688e-14 relative error 5.149605227075995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998073 y[1] (closed_form) -0.1278557224134398 y[1] (numeric) -0.12785572241337317 absolute error 6.661338147750939e-14 relative error 5.210043025067387e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999806 y[1] (closed_form) -0.126583536719306 y[1] (numeric) -0.12658353671923925 absolute error 6.675215935558754e-14 relative error 5.2733681713766474e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999805 y[1] (closed_form) -0.12532400948433073 y[1] (numeric) -0.12532400948426384 absolute error 6.689093723366568e-14 relative error 5.337439929419834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999804 y[1] (closed_form) -0.12407701475474095 y[1] (numeric) -0.1240770147546739 absolute error 6.704359289955164e-14 relative error 5.403385391893459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.789999999999803 y[1] (closed_form) -0.12284242783002448 y[1] (numeric) -0.12284242782995729 absolute error 6.71962485654376e-14 relative error 5.470117267497855e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998018 y[1] (closed_form) -0.12162012525046004 y[1] (numeric) -0.12162012525039272 absolute error 6.732114865570793e-14 relative error 5.535362549337062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998007 y[1] (closed_form) -0.12040998478477109 y[1] (numeric) -0.12040998478470365 absolute error 6.744604874597826e-14 relative error 5.601366769253884e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999997996 y[1] (closed_form) -0.1192118854179026 y[1] (numeric) -0.11921188541783505 absolute error 6.755707104844078e-14 relative error 5.666974464133038e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997985 y[1] (closed_form) -0.11802570733891947 y[1] (numeric) -0.1180257073388518 absolute error 6.766809335090329e-14 relative error 5.7333351247444256e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997974 y[1] (closed_form) -0.11685133192902533 y[1] (numeric) -0.1168513319289575 absolute error 6.783462680459706e-14 relative error 5.805207838435195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997963 y[1] (closed_form) -0.11568864174970049 y[1] (numeric) -0.11568864174963255 absolute error 6.794564910705958e-14 relative error 5.873147793891831e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999795 y[1] (closed_form) -0.11453752053095817 y[1] (numeric) -0.11453752053089009 absolute error 6.808442698513772e-14 relative error 5.944290278811761e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999794 y[1] (closed_form) -0.11339785315971719 y[1] (numeric) -0.11339785315964898 absolute error 6.820932707540805e-14 relative error 6.015045715136903e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999793 y[1] (closed_form) -0.1122695256682907 y[1] (numeric) -0.11226952566822238 absolute error 6.832034937787057e-14 relative error 6.085386837718413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.889999999999792 y[1] (closed_form) -0.11115242522298927 y[1] (numeric) -0.11115242522292082 absolute error 6.84452494681409e-14 relative error 6.15778282217675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997907 y[1] (closed_form) -0.11004644011283748 y[1] (numeric) -0.11004644011276891 absolute error 6.857014955841123e-14 relative error 6.231019330393784e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997896 y[1] (closed_form) -0.10895145973840266 y[1] (numeric) -0.10895145973833398 absolute error 6.868117186087375e-14 relative error 6.303832185982668e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997885 y[1] (closed_form) -0.10786737460073484 y[1] (numeric) -0.10786737460066605 absolute error 6.879219416333626e-14 relative error 6.377479234844344e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997874 y[1] (closed_form) -0.10679407629041687 y[1] (numeric) -0.10679407629034796 absolute error 6.891709425360659e-14 relative error 6.453269380428251e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997863 y[1] (closed_form) -0.10573145747672331 y[1] (numeric) -0.10573145747665427 absolute error 6.904199434387692e-14 relative error 6.529938770500393e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997852 y[1] (closed_form) -0.10467941189688727 y[1] (numeric) -0.10467941189681813 absolute error 6.913913885853162e-14 relative error 6.604845939203021e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999784 y[1] (closed_form) -0.10363783434547404 y[1] (numeric) -0.1036378343454048 absolute error 6.923628337318632e-14 relative error 6.680599204957233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999783 y[1] (closed_form) -0.1026066206638605 y[1] (numeric) -0.10260662066379116 absolute error 6.934730567564884e-14 relative error 6.758560532154232e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999782 y[1] (closed_form) -0.10158566772981914 y[1] (numeric) -0.1015856677297497 absolute error 6.944445019030354e-14 relative error 6.836048011713667e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.989999999999781 y[1] (closed_form) -0.10057487344720578 y[1] (numeric) -0.10057487344713621 absolute error 6.956935028057387e-14 relative error 6.917170054118192e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997797 y[1] (closed_form) -0.09957413673574982 y[1] (numeric) -0.09957413673568012 absolute error 6.96942503708442e-14 relative error 6.999232195785844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997786 y[1] (closed_form) -0.09858335752094614 y[1] (numeric) -0.09858335752087634 absolute error 6.980527267330672e-14 relative error 7.08083741806776e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997775 y[1] (closed_form) -0.09760243672404763 y[1] (numeric) -0.09760243672397773 absolute error 6.990241718796142e-14 relative error 7.161954100141704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997764 y[1] (closed_form) -0.09663127625215716 y[1] (numeric) -0.09663127625208713 absolute error 7.002731727823175e-14 relative error 7.246858366591064e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997753 y[1] (closed_form) -0.09566977898841823 y[1] (numeric) -0.09566977898834808 absolute error 7.015221736850208e-14 relative error 7.332745837846526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997742 y[1] (closed_form) -0.09471784878230323 y[1] (numeric) -0.09471784878223297 absolute error 7.02632396709646e-14 relative error 7.418162529478008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999773 y[1] (closed_form) -0.09377539043999825 y[1] (numeric) -0.09377539043992789 absolute error 7.03603841856193e-14 relative error 7.503075578303144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999772 y[1] (closed_form) -0.09284230971488369 y[1] (numeric) -0.09284230971481323 absolute error 7.0457528700274e-14 relative error 7.58894612991073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999771 y[1] (closed_form) -0.09191851329810947 y[1] (numeric) -0.09191851329803892 absolute error 7.05546732149287e-14 relative error 7.675784853711273e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.08999999999977 y[1] (closed_form) -0.09100390880926408 y[1] (numeric) -0.09100390880919342 absolute error 7.066569551739121e-14 relative error 7.765127502984524e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997687 y[1] (closed_form) -0.09009840478713645 y[1] (numeric) -0.09009840478706568 absolute error 7.076284003204591e-14 relative error 7.853950377837199e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997676 y[1] (closed_form) -0.08920191068056979 y[1] (numeric) -0.08920191068049892 absolute error 7.087386233450843e-14 relative error 7.945330071270141e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997665 y[1] (closed_form) -0.08831433683940636 y[1] (numeric) -0.08831433683933537 absolute error 7.098488463697095e-14 relative error 8.037753232077386e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997654 y[1] (closed_form) -0.08743559450552238 y[1] (numeric) -0.08743559450545131 absolute error 7.106815136381783e-14 relative error 8.128057202073374e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997643 y[1] (closed_form) -0.0865655958039522 y[1] (numeric) -0.08656559580388101 absolute error 7.119305145408816e-14 relative error 8.224173910305115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999763 y[1] (closed_form) -0.08570425373410066 y[1] (numeric) -0.08570425373402937 absolute error 7.129019596874286e-14 relative error 8.318163085571257e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999762 y[1] (closed_form) -0.08485148216104296 y[1] (numeric) -0.0848514821609716 absolute error 7.135958490778194e-14 relative error 8.40993970763478e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999761 y[1] (closed_form) -0.08400719580691118 y[1] (numeric) -0.08400719580683973 absolute error 7.145672942243664e-14 relative error 8.506024839429049e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.17999999999976 y[1] (closed_form) -0.0831713102423663 y[1] (numeric) -0.08317131024229477 absolute error 7.153999614928352e-14 relative error 8.601523282585255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.189999999999759 y[1] (closed_form) -0.08234374187815534 y[1] (numeric) -0.08234374187808369 absolute error 7.165101845174604e-14 relative error 8.701452814443215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997577 y[1] (closed_form) -0.08152440795675218 y[1] (numeric) -0.08152440795668045 absolute error 7.173428517859293e-14 relative error 8.79911758655729e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997566 y[1] (closed_form) -0.08071322654408195 y[1] (numeric) -0.08071322654401014 absolute error 7.1803674117632e-14 relative error 8.89614716101283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997555 y[1] (closed_form) -0.07991011652132735 y[1] (numeric) -0.07991011652125546 absolute error 7.188694084447889e-14 relative error 8.995974974619497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997544 y[1] (closed_form) -0.07911499757681688 y[1] (numeric) -0.0791149975767449 absolute error 7.198408535913359e-14 relative error 9.098664926234812e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997533 y[1] (closed_form) -0.07832779019799346 y[1] (numeric) -0.0783277901979214 absolute error 7.206735208598047e-14 relative error 9.200738576156925e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999752 y[1] (closed_form) -0.07754841566346324 y[1] (numeric) -0.07754841566339106 absolute error 7.217837438844299e-14 relative error 9.307524050739526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999751 y[1] (closed_form) -0.07677679603512323 y[1] (numeric) -0.07677679603505097 absolute error 7.226164111528988e-14 relative error 9.411911521058029e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.26999999999975 y[1] (closed_form) -0.07601285415036764 y[1] (numeric) -0.07601285415029525 absolute error 7.238654120556021e-14 relative error 9.522934247721589e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999749 y[1] (closed_form) -0.07525651361437131 y[1] (numeric) -0.07525651361429885 absolute error 7.246980793240709e-14 relative error 9.629705716073451e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.289999999999748 y[1] (closed_form) -0.07450769879245041 y[1] (numeric) -0.07450769879237784 absolute error 7.25669524470618e-14 relative error 9.739524052300315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997467 y[1] (closed_form) -0.0737663348024987 y[1] (numeric) -0.07376633480242606 absolute error 7.263634138610087e-14 relative error 9.846814482592464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997456 y[1] (closed_form) -0.07303234750749939 y[1] (numeric) -0.07303234750742667 absolute error 7.271960811294775e-14 relative error 9.957177962200994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997445 y[1] (closed_form) -0.07230566350811131 y[1] (numeric) -0.07230566350803852 absolute error 7.278899705198683e-14 relative error 1.0066845876301418e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997434 y[1] (closed_form) -0.07158621013532897 y[1] (numeric) -0.07158621013525612 absolute error 7.284450820321808e-14 relative error 1.0175773806925997e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997423 y[1] (closed_form) -0.07087391544321553 y[1] (numeric) -0.07087391544314262 absolute error 7.291389714225716e-14 relative error 1.0287832510209777e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999741 y[1] (closed_form) -0.07016870820170822 y[1] (numeric) -0.07016870820163522 absolute error 7.299716386910404e-14 relative error 1.0403093592554832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.35999999999974 y[1] (closed_form) -0.06947051788949517 y[1] (numeric) -0.06947051788942211 absolute error 7.30526750203353e-14 relative error 1.0515637026995851e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999739 y[1] (closed_form) -0.06877927468696338 y[1] (numeric) -0.06877927468689025 absolute error 7.312206395937437e-14 relative error 1.0631409576820405e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.379999999999738 y[1] (closed_form) -0.06809490946921654 y[1] (numeric) -0.06809490946914333 absolute error 7.320533068622126e-14 relative error 1.0750485059285522e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.389999999999737 y[1] (closed_form) -0.06741735379916255 y[1] (numeric) -0.06741735379908928 absolute error 7.327471962526033e-14 relative error 1.0868821675135302e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997357 y[1] (closed_form) -0.0667465399206698 y[1] (numeric) -0.06674653992059647 absolute error 7.333023077649159e-14 relative error 1.0986371857424624e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997346 y[1] (closed_form) -0.06608240075179142 y[1] (numeric) -0.066082400751718 absolute error 7.341349750333848e-14 relative error 1.1109387169374036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997335 y[1] (closed_form) -0.06542486987805707 y[1] (numeric) -0.06542486987798357 absolute error 7.349676423018536e-14 relative error 1.1233765442281076e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997324 y[1] (closed_form) -0.06477388154583141 y[1] (numeric) -0.06477388154575785 absolute error 7.356615316922444e-14 relative error 1.1357379149367784e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997313 y[1] (closed_form) -0.06412937065573877 y[1] (numeric) -0.06412937065566514 absolute error 7.363554210826351e-14 relative error 1.1482342857152934e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.44999999999973 y[1] (closed_form) -0.06349127275615302 y[1] (numeric) -0.06349127275607931 absolute error 7.370493104730258e-14 relative error 1.1608671215393102e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999729 y[1] (closed_form) -0.06285952403675245 y[1] (numeric) -0.06285952403667869 absolute error 7.376044219853384e-14 relative error 1.1734171285708095e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999728 y[1] (closed_form) -0.062234061322138656 y[1] (numeric) -0.06223406132206485 absolute error 7.380901445586119e-14 relative error 1.185990643834214e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.479999999999727 y[1] (closed_form) -0.06161482206551898 y[1] (numeric) -0.0616148220654451 absolute error 7.387840339490026e-14 relative error 1.19903622080318e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997258 y[1] (closed_form) -0.0610017443424517 y[1] (numeric) -0.06100174434237776 absolute error 7.394085344003543e-14 relative error 1.2121104771192466e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997247 y[1] (closed_form) -0.060394766844653634 y[1] (numeric) -0.06039476684457961 absolute error 7.402412016688231e-14 relative error 1.2256710975850914e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997236 y[1] (closed_form) -0.059793828873869165 y[1] (numeric) -0.05979382887379507 absolute error 7.409350910592138e-14 relative error 1.2391497668131669e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997225 y[1] (closed_form) -0.05919887033580043 y[1] (numeric) -0.059198870335726274 absolute error 7.415595915105655e-14 relative error 1.2526583485531621e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997214 y[1] (closed_form) -0.05860983173409784 y[1] (numeric) -0.05860983173402362 absolute error 7.421840919619171e-14 relative error 1.266313295914364e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997203 y[1] (closed_form) -0.058026654164410336 y[1] (numeric) -0.058026654164336056 absolute error 7.428085924132688e-14 relative error 1.2801161864487747e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999719 y[1] (closed_form) -0.05744927930849499 y[1] (numeric) -0.05744927930842064 absolute error 7.435024818036595e-14 relative error 1.2941893975921787e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999718 y[1] (closed_form) -0.05687764942838505 y[1] (numeric) -0.056877649428310646 absolute error 7.440575933159721e-14 relative error 1.3081721920537855e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999717 y[1] (closed_form) -0.056311707360616144 y[1] (numeric) -0.056311707360541675 absolute error 7.446820937673237e-14 relative error 1.32242854758147e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.579999999999716 y[1] (closed_form) -0.05575139651050988 y[1] (numeric) -0.05575139651043535 absolute error 7.453065942186754e-14 relative error 1.336839327564064e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997148 y[1] (closed_form) -0.05519666084651431 y[1] (numeric) -0.055196660846439725 absolute error 7.45861705730988e-14 relative error 1.351280483805008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997137 y[1] (closed_form) -0.05464744489460077 y[1] (numeric) -0.05464744489452613 absolute error 7.464168172433006e-14 relative error 1.365876883508322e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997125 y[1] (closed_form) -0.054103693732716375 y[1] (numeric) -0.05410369373264167 absolute error 7.470413176946522e-14 relative error 1.3807584402373588e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997114 y[1] (closed_form) -0.05356535298529181 y[1] (numeric) -0.05356535298521705 absolute error 7.475964292069648e-14 relative error 1.3956716189516064e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997103 y[1] (closed_form) -0.053032368817803724 y[1] (numeric) -0.0530323688177289 absolute error 7.482209296583164e-14 relative error 1.4108759354666578e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997092 y[1] (closed_form) -0.05250468793139119 y[1] (numeric) -0.05250468793131632 absolute error 7.4870665223159e-14 relative error 1.425980577600877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999708 y[1] (closed_form) -0.051982257557525856 y[1] (numeric) -0.05198225755745092 absolute error 7.493311526829416e-14 relative error 1.4415132929802033e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999707 y[1] (closed_form) -0.05146502545273497 y[1] (numeric) -0.051465025452659977 absolute error 7.499556531342932e-14 relative error 1.4572141887368654e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999706 y[1] (closed_form) -0.050952939893377014 y[1] (numeric) -0.05095293989330198 absolute error 7.503719867685277e-14 relative error 1.472676529241962e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.679999999999705 y[1] (closed_form) -0.050445949670469316 y[1] (numeric) -0.05044594967039423 absolute error 7.508577093418012e-14 relative error 1.488440031849272e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997037 y[1] (closed_form) -0.049944004084567103 y[1] (numeric) -0.04994400408449196 absolute error 7.514128208541138e-14 relative error 1.5045105706418587e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997026 y[1] (closed_form) -0.04944705294069349 y[1] (numeric) -0.049447052940618276 absolute error 7.521067102445045e-14 relative error 1.521034451024972e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997015 y[1] (closed_form) -0.04895504654331995 y[1] (numeric) -0.04895504654324469 absolute error 7.52592432817778e-14 relative error 1.5373132822002626e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997004 y[1] (closed_form) -0.048467935691396756 y[1] (numeric) -0.048467935691321434 absolute error 7.532169332691296e-14 relative error 1.5540520191843626e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999996993 y[1] (closed_form) -0.04798567167343278 y[1] (numeric) -0.0479856716733574 absolute error 7.538414337204813e-14 relative error 1.5709719327276705e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996982 y[1] (closed_form) -0.047508206262624336 y[1] (numeric) -0.047508206262548903 absolute error 7.543271562937548e-14 relative error 1.5877828603417494e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999697 y[1] (closed_form) -0.047035491712032466 y[1] (numeric) -0.047035491711956985 absolute error 7.548128788670283e-14 relative error 1.6047730158499323e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999696 y[1] (closed_form) -0.04656748074980817 y[1] (numeric) -0.04656748074973263 absolute error 7.553679903793409e-14 relative error 1.622093311076212e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999695 y[1] (closed_form) -0.04610412657446521 y[1] (numeric) -0.046104126574389635 absolute error 7.557149350745362e-14 relative error 1.6391481440472387e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.779999999999694 y[1] (closed_form) -0.04564538285019993 y[1] (numeric) -0.04564538285012431 absolute error 7.562006576478097e-14 relative error 1.6566859787977383e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996927 y[1] (closed_form) -0.04519120370225762 y[1] (numeric) -0.04519120370218195 absolute error 7.566863802210833e-14 relative error 1.6744107663219457e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996916 y[1] (closed_form) -0.04474154371234499 y[1] (numeric) -0.04474154371226927 absolute error 7.571721027943568e-14 relative error 1.6923244930090319e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996905 y[1] (closed_form) -0.04429635791408834 y[1] (numeric) -0.044296357914012575 absolute error 7.576578253676303e-14 relative error 1.7104291662919293e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996894 y[1] (closed_form) -0.043855601788536855 y[1] (numeric) -0.04385560178846105 absolute error 7.580741590018647e-14 relative error 1.7285685934881254e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996883 y[1] (closed_form) -0.04341923125971068 y[1] (numeric) -0.04341923125963482 absolute error 7.585598815751382e-14 relative error 1.7470596773992558e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999687 y[1] (closed_form) -0.04298720269019329 y[1] (numeric) -0.04298720269011738 absolute error 7.590456041484117e-14 relative error 1.765747842721512e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999686 y[1] (closed_form) -0.042559472876767694 y[1] (numeric) -0.04255947287669174 absolute error 7.595313267216852e-14 relative error 1.7846351831493128e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999685 y[1] (closed_form) -0.042135999046096134 y[1] (numeric) -0.042135999046020126 absolute error 7.600864382339978e-14 relative error 1.8038884930732863e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999684 y[1] (closed_form) -0.04171673885044262 y[1] (numeric) -0.04171673885036657 absolute error 7.605027718682322e-14 relative error 1.8230158752214235e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.879999999999683 y[1] (closed_form) -0.041301650363438226 y[1] (numeric) -0.041301650363362134 absolute error 7.609191055024667e-14 relative error 1.8423455208367675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996817 y[1] (closed_form) -0.04089069207588833 y[1] (numeric) -0.04089069207581219 absolute error 7.614048280757402e-14 relative error 1.862049257231113e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996806 y[1] (closed_form) -0.04048382289162171 y[1] (numeric) -0.04048382289154552 absolute error 7.618905506490137e-14 relative error 1.8819629576205117e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996795 y[1] (closed_form) -0.04008100212338088 y[1] (numeric) -0.04008100212330465 absolute error 7.623068842832481e-14 relative error 1.9019157303917896e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996784 y[1] (closed_form) -0.039682189488753336 y[1] (numeric) -0.03968218948867706 absolute error 7.627926068565216e-14 relative error 1.9222543329488186e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996773 y[1] (closed_form) -0.03928734510614327 y[1] (numeric) -0.03928734510606694 absolute error 7.632783294297951e-14 relative error 1.9428096435827706e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999676 y[1] (closed_form) -0.038896429490783375 y[1] (numeric) -0.038896429490707 absolute error 7.637640520030686e-14 relative error 1.9635839638803987e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999675 y[1] (closed_form) -0.03850940355078636 y[1] (numeric) -0.038509403550709934 absolute error 7.642497745763421e-14 relative error 1.9845796198023334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999674 y[1] (closed_form) -0.0381262285832357 y[1] (numeric) -0.03812622858315923 absolute error 7.647354971496156e-14 relative error 2.005798961940531e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999673 y[1] (closed_form) -0.03774686627031532 y[1] (numeric) -0.037746866270238814 absolute error 7.65082441844811e-14 relative error 2.0268767117403938e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.979999999999672 y[1] (closed_form) -0.037371278675477806 y[1] (numeric) -0.03737127867540124 absolute error 7.656375533571236e-14 relative error 2.0487325574426163e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996707 y[1] (closed_form) -0.036999428239650675 y[1] (numeric) -0.03699942823957406 absolute error 7.661232759303971e-14 relative error 2.0706354459536651e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996696 y[1] (closed_form) -0.03663127777748046 y[1] (numeric) -0.03663127777740381 absolute error 7.664702206255924e-14 relative error 2.0923928050819722e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y[1] (closed_form) -0.036266790473614 y[1] (numeric) -0.03626679047353748 absolute error 7.652212197228891e-14 relative error 2.1099777778230136e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y[1] (closed_form) -0.035905929879017334 y[1] (numeric) -0.03590592987894093 absolute error 7.640416077592249e-14 relative error 2.127898122492894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y[1] (closed_form) -0.035548659907330284 y[1] (numeric) -0.035548659907254 absolute error 7.628619957955607e-14 relative error 2.145965551962355e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y[1] (closed_form) -0.03519494483125794 y[1] (numeric) -0.03519494483118178 absolute error 7.616129948928574e-14 relative error 2.163984056643386e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y[1] (closed_form) -0.03484474927899796 y[1] (numeric) -0.03484474927892191 absolute error 7.605027718682322e-14 relative error 2.1825462590617964e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y[1] (closed_form) -0.03449803823070325 y[1] (numeric) -0.034498038230627324 absolute error 7.592537709655289e-14 relative error 2.2008607152907413e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y[1] (closed_form) -0.034154777014980084 y[1] (numeric) -0.03415477701490426 absolute error 7.582129368799428e-14 relative error 2.2199323290777016e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y[1] (closed_form) -0.03381493130542083 y[1] (numeric) -0.033814931305345124 absolute error 7.570333249162786e-14 relative error 2.2387545847089142e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y[1] (closed_form) -0.03347846711717132 y[1] (numeric) -0.03347846711709573 absolute error 7.559231018916535e-14 relative error 2.2579382121827666e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y[1] (closed_form) -0.033145350803532335 y[1] (numeric) -0.033145350803456854 absolute error 7.548128788670283e-14 relative error 2.2772813096507854e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y[1] (closed_form) -0.03281554905259494 y[1] (numeric) -0.03281554905251955 absolute error 7.539108226595204e-14 relative error 2.2974194990648912e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y[1] (closed_form) -0.03248902888390918 y[1] (numeric) -0.03248902888383389 absolute error 7.528699885739343e-14 relative error 2.3173053010113446e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y[1] (closed_form) -0.032165757645186095 y[1] (numeric) -0.032165757645110905 absolute error 7.518985434273873e-14 relative error 2.337574484398678e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y[1] (closed_form) -0.03184570300903242 y[1] (numeric) -0.031845703008957345 absolute error 7.50718931463723e-14 relative error 2.357363350561915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y[1] (closed_form) -0.03152883296971782 y[1] (numeric) -0.03152883296964286 absolute error 7.496087084390979e-14 relative error 2.3775339517294124e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y[1] (closed_form) -0.031215115839974314 y[1] (numeric) -0.03121511583989945 absolute error 7.486372632925509e-14 relative error 2.3983164667095046e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y[1] (closed_form) -0.030904520247827486 y[1] (numeric) -0.03090452024775273 absolute error 7.475617347374452e-14 relative error 2.418939782085752e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y[1] (closed_form) -0.030597015133459297 y[1] (numeric) -0.030597015133384645 absolute error 7.465209006518592e-14 relative error 2.439848780659336e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y[1] (closed_form) -0.030292569746102053 y[1] (numeric) -0.030292569746027502 absolute error 7.455147610357926e-14 relative error 2.4610482612876477e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y[1] (closed_form) -0.02999115364096332 y[1] (numeric) -0.029991153640888862 absolute error 7.445780103587651e-14 relative error 2.4826587842282456e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y[1] (closed_form) -0.02969273667618139 y[1] (numeric) -0.029692736676107032 absolute error 7.435718707426986e-14 relative error 2.50422141566752e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y[1] (closed_form) -0.02939728900981111 y[1] (numeric) -0.029397289009736854 absolute error 7.42565731126632e-14 relative error 2.5259667001226087e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y[1] (closed_form) -0.02910478109683964 y[1] (numeric) -0.029104781096765474 absolute error 7.416636749191241e-14 relative error 2.5482537472156357e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y[1] (closed_form) -0.02881518368623192 y[1] (numeric) -0.028815183686157847 absolute error 7.407269242420966e-14 relative error 2.5706132305379704e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y[1] (closed_form) -0.028528467818005554 y[1] (numeric) -0.02852846781793158 absolute error 7.397554790955496e-14 relative error 2.5930431448851164e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y[1] (closed_form) -0.028244604820334796 y[1] (numeric) -0.028244604820260914 absolute error 7.388187284185221e-14 relative error 2.6157870967506234e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y[1] (closed_form) -0.02796356630668332 y[1] (numeric) -0.02796356630660953 absolute error 7.378819777414947e-14 relative error 2.638726297100167e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y[1] (closed_form) -0.027685324172965566 y[1] (numeric) -0.02768532417289187 absolute error 7.369452270644672e-14 relative error 2.66186237322114e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y[1] (closed_form) -0.027409850594736294 y[1] (numeric) -0.027409850594662694 absolute error 7.360084763874397e-14 relative error 2.685196965388715e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y[1] (closed_form) -0.02713711802440811 y[1] (numeric) -0.027137118024334602 absolute error 7.350717257104122e-14 relative error 2.708731726962539e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y[1] (closed_form) -0.026867099188496713 y[1] (numeric) -0.026867099188423296 absolute error 7.341696695029043e-14 relative error 2.732597458147781e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y[1] (closed_form) -0.026599767084893488 y[1] (numeric) -0.026599767084820158 absolute error 7.333023077649159e-14 relative error 2.756799732210333e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y[1] (closed_form) -0.026335094980165303 y[1] (numeric) -0.026335094980092063 absolute error 7.32400251557408e-14 relative error 2.7810807293804216e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y[1] (closed_form) -0.026073056406881123 y[1] (numeric) -0.026073056406807966 absolute error 7.315675842889391e-14 relative error 2.805837462522675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y[1] (closed_form) -0.02581362516096525 y[1] (numeric) -0.02581362516089218 absolute error 7.307002225509507e-14 relative error 2.83067650511908e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y[1] (closed_form) -0.0255567752990769 y[1] (numeric) -0.025556775299003926 absolute error 7.297287774044037e-14 relative error 2.855324151285867e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y[1] (closed_form) -0.025302481136015846 y[1] (numeric) -0.025302481135942953 absolute error 7.289308046054543e-14 relative error 2.8808669026844397e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y[1] (closed_form) -0.025050717242153863 y[1] (numeric) -0.025050717242081053 absolute error 7.280981373369855e-14 relative error 2.9064961705439116e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y[1] (closed_form) -0.02480145844089177 y[1] (numeric) -0.024801458440819043 absolute error 7.272654700685166e-14 relative error 2.93234961081735e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y[1] (closed_form) -0.024554679806141715 y[1] (numeric) -0.02455467980606907 absolute error 7.264674972695673e-14 relative error 2.958570435472998e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y[1] (closed_form) -0.02431035665983458 y[1] (numeric) -0.024310356659762014 absolute error 7.25669524470618e-14 relative error 2.985022122976766e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y[1] (closed_form) -0.024068464569452122 y[1] (numeric) -0.024068464569379635 absolute error 7.248715516716686e-14 relative error 3.0117066652921476e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y[1] (closed_form) -0.02382897934558374 y[1] (numeric) -0.023828979345511325 absolute error 7.241429678117584e-14 relative error 3.038917266701836e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y[1] (closed_form) -0.02359187703950746 y[1] (numeric) -0.02359187703943513 absolute error 7.233103005432895e-14 relative error 3.0659294270312557e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y[1] (closed_form) -0.023357133940795097 y[1] (numeric) -0.023357133940722846 absolute error 7.225123277443402e-14 relative error 3.093326131432653e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y[1] (closed_form) -0.02312472657494116 y[1] (numeric) -0.023124726574868984 absolute error 7.217490494149104e-14 relative error 3.121113873826406e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y[1] (closed_form) -0.02289463170101539 y[1] (numeric) -0.02289463170094329 absolute error 7.209857710854806e-14 relative error 3.149147715066779e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y[1] (closed_form) -0.02266682630933864 y[1] (numeric) -0.02266682630926662 absolute error 7.201877982865312e-14 relative error 3.17727673233997e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y[1] (closed_form) -0.022441287619181915 y[1] (numeric) -0.022441287619109972 absolute error 7.194245199571014e-14 relative error 3.2058076709563053e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y[1] (closed_form) -0.022217993076488245 y[1] (numeric) -0.02221799307641638 absolute error 7.186612416276716e-14 relative error 3.234591167409179e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y[1] (closed_form) -0.02199692035161728 y[1] (numeric) -0.021996920351545494 absolute error 7.178632688287223e-14 relative error 3.2634716921905064e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y[1] (closed_form) -0.021778047337112305 y[1] (numeric) -0.02177804733704059 absolute error 7.17134684968812e-14 relative error 3.292924631248881e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y[1] (closed_form) -0.021561352145489477 y[1] (numeric) -0.021561352145417836 absolute error 7.164061011089018e-14 relative error 3.32263995446487e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y[1] (closed_form) -0.021346813107049056 y[1] (numeric) -0.021346813106977485 absolute error 7.157122117185111e-14 relative error 3.3527824885587796e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y[1] (closed_form) -0.021134408767708408 y[1] (numeric) -0.02113440876763691 absolute error 7.149836278586008e-14 relative error 3.3830311304995457e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y[1] (closed_form) -0.0209241178868566 y[1] (numeric) -0.020924117886785172 absolute error 7.142897384682101e-14 relative error 3.413714940484484e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y[1] (closed_form) -0.0207159194352303 y[1] (numeric) -0.020715919435158946 absolute error 7.135264601387803e-14 relative error 3.444338844672901e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y[1] (closed_form) -0.02050979259281085 y[1] (numeric) -0.020509792592739565 absolute error 7.128672652179091e-14 relative error 3.47574097588771e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y[1] (closed_form) -0.020305716746742232 y[1] (numeric) -0.020305716746671018 absolute error 7.121386813579988e-14 relative error 3.5070846808313304e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y[1] (closed_form) -0.020103671489269778 y[1] (numeric) -0.02010367148919863 absolute error 7.114794864371277e-14 relative error 3.539052490073148e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y[1] (closed_form) -0.019903636615699365 y[1] (numeric) -0.019903636615628287 absolute error 7.10785597046737e-14 relative error 3.571134314651281e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y[1] (closed_form) -0.019705592122376946 y[1] (numeric) -0.019705592122305927 absolute error 7.101957910649048e-14 relative error 3.604031721830031e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y[1] (closed_form) -0.019509518204688145 y[1] (numeric) -0.019509518204617195 absolute error 7.095019016745141e-14 relative error 3.6366961717384723e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y[1] (closed_form) -0.0193153952550778 y[1] (numeric) -0.019315395255006914 absolute error 7.088774012231625e-14 relative error 3.670012401308777e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y[1] (closed_form) -0.01912320386108918 y[1] (numeric) -0.019123203861018366 absolute error 7.081488173632522e-14 relative error 3.7030866925188907e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y[1] (closed_form) -0.01893292480342273 y[1] (numeric) -0.018932924803351972 absolute error 7.075937058509396e-14 relative error 3.737371342239839e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y[1] (closed_form) -0.01874453905401411 y[1] (numeric) -0.018744539053943413 absolute error 7.06969205399588e-14 relative error 3.7716009092695814e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y[1] (closed_form) -0.0185580277741314 y[1] (numeric) -0.018558027774060765 absolute error 7.063447049482363e-14 relative error 3.8061410056344013e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y[1] (closed_form) -0.01837337231249117 y[1] (numeric) -0.018373372312420606 absolute error 7.056508155578456e-14 relative error 3.840616755358011e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y[1] (closed_form) -0.01819055420339339 y[1] (numeric) -0.01819055420332289 absolute error 7.049916206369744e-14 relative error 3.8755917645733983e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y[1] (closed_form) -0.018009555164874798 y[1] (numeric) -0.018009555164804358 absolute error 7.044018146551423e-14 relative error 3.911267147947012e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y[1] (closed_form) -0.017830357096880706 y[1] (numeric) -0.01783035709681032 absolute error 7.038467031428297e-14 relative error 3.9474627418761156e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y[1] (closed_form) -0.017652942079454982 y[1] (numeric) -0.017652942079384656 absolute error 7.032568971609976e-14 relative error 3.983794281971099e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y[1] (closed_form) -0.01747729237094804 y[1] (numeric) -0.01747729237087778 absolute error 7.02632396709646e-14 relative error 4.020258869603909e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y[1] (closed_form) -0.01730339040624265 y[1] (numeric) -0.017303390406172448 absolute error 7.020078962582943e-14 relative error 4.0570540210722324e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y[1] (closed_form) -0.01713121879499743 y[1] (numeric) -0.017131218794927287 absolute error 7.014180902764622e-14 relative error 4.09438521958103e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y[1] (closed_form) -0.01696076031990777 y[1] (numeric) -0.016960760319837686 absolute error 7.008282842946301e-14 relative error 4.1320570014307064e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y[1] (closed_form) -0.01679199793498412 y[1] (numeric) -0.016791997934914087 absolute error 7.003425617213566e-14 relative error 4.170692281126813e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y[1] (closed_form) -0.016624914763847344 y[1] (numeric) -0.01662491476377737 absolute error 6.997527557395244e-14 relative error 4.209060712065795e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y[1] (closed_form) -0.016459494098041098 y[1] (numeric) -0.016459494097971178 absolute error 6.991976442272119e-14 relative error 4.24798988390795e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y[1] (closed_form) -0.01629571939536095 y[1] (numeric) -0.016295719395291085 absolute error 6.986425327148993e-14 relative error 4.2872764053226654e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y[1] (closed_form) -0.016133574278200145 y[1] (numeric) -0.01613357427813034 absolute error 6.980527267330672e-14 relative error 4.32670848192817e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y[1] (closed_form) -0.015973042531911855 y[1] (numeric) -0.015973042531842098 absolute error 6.975670041597937e-14 relative error 4.367151735595486e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y[1] (closed_form) -0.01581410810318767 y[1] (numeric) -0.015814108103117962 absolute error 6.970812815865202e-14 relative error 4.40797088927202e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y[1] (closed_form) -0.015656755098452272 y[1] (numeric) -0.015656755098382616 absolute error 6.965608645437271e-14 relative error 4.448947819414923e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y[1] (closed_form) -0.015500967782274059 y[1] (numeric) -0.015500967782204453 absolute error 6.960577947356938e-14 relative error 4.490415079319513e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y[1] (closed_form) -0.015346730575791591 y[1] (numeric) -0.015346730575722039 absolute error 6.95520030458141e-14 relative error 4.532040404457715e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y[1] (closed_form) -0.015194028055155689 y[1] (numeric) -0.015194028055086189 absolute error 6.94999613415348e-14 relative error 4.574163025712713e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y[1] (closed_form) -0.015042844949987035 y[1] (numeric) -0.015042844949917587 absolute error 6.94479196372555e-14 relative error 4.616674563099539e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y[1] (closed_form) -0.014893166141849124 y[1] (numeric) -0.014893166141779728 absolute error 6.939587793297619e-14 relative error 4.659578579330885e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y[1] (closed_form) -0.014744976662736414 y[1] (numeric) -0.014744976662667067 absolute error 6.934730567564884e-14 relative error 4.703113966324798e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y[1] (closed_form) -0.014598261693577502 y[1] (numeric) -0.014598261693508202 absolute error 6.930046814179747e-14 relative error 4.747172615235839e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y[1] (closed_form) -0.014453006562753208 y[1] (numeric) -0.014453006562683954 absolute error 6.925363060794609e-14 relative error 4.791641815649581e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9399999999999835 y[1] (closed_form) -0.0143091967446294 y[1] (numeric) -0.014309196744560196 absolute error 6.920332362714277e-14 relative error 4.836282906873617e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y[1] (closed_form) -0.014166817858104428 y[1] (numeric) -0.014166817858035271 absolute error 6.915648609329139e-14 relative error 4.881582214578199e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y[1] (closed_form) -0.014025855665170985 y[1] (numeric) -0.014025855665101877 absolute error 6.910791383596404e-14 relative error 4.927179880196034e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y[1] (closed_form) -0.013886296069492316 y[1] (numeric) -0.013886296069423253 absolute error 6.906281102558864e-14 relative error 4.973450852550747e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y[1] (closed_form) -0.013748125114992547 y[1] (numeric) -0.013748125114923529 absolute error 6.901770821521325e-14 relative error 5.020154212878696e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.99 y[1] (closed_form) -0.013611328984461088 y[1] (numeric) -0.013611328984392112 absolute error 6.89760748517898e-14 relative error 5.067548872746665e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 Finished! diff ( y , x , 1 ) = 2.0 / exp ( x ) ; Iterations 4000 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.02500000000009%