##############ECHO OF PROBLEM################# ##############temp/lin_sin_cospostode.ode################# diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) 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(-0.5)*cos(c(2.0)*c(x) + c(3.0)) + c(2.0)/c(3.0)*sin(c(1.5)*c(x)-c(2.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) -0.14170274741948996 y[1] (numeric) -0.14170274741948996 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] 0.11000000000000001 y[1] (closed_form) -0.1450699809230483 y[1] (numeric) -0.14506998092304824 absolute error 5.551115123125783e-17 relative error 3.8265084808071674e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) -0.14849180092505576 y[1] (numeric) -0.14849180092505565 absolute error 1.1102230246251565e-16 relative error 7.476662130224209e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) -0.15196728302967055 y[1] (numeric) -0.1519672830296705 absolute error 5.551115123125783e-17 relative error 3.6528356712424514e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) -0.15549545593961295 y[1] (numeric) -0.15549545593961278 absolute error 1.6653345369377348e-16 relative error 1.0709859827572528e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) -0.15907530175043105 y[1] (numeric) -0.15907530175043091 absolute error 1.3877787807814457e-16 relative error 8.724036764416731e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) -0.16270575626915507 y[1] (numeric) -0.16270575626915493 absolute error 1.3877787807814457e-16 relative error 8.529377279594956e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) -0.16638570935722935 y[1] (numeric) -0.16638570935722932 absolute error 2.7755575615628914e-17 relative error 1.668146604828773e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) -0.170114005297606 y[1] (numeric) -0.17011400529760598 absolute error 2.7755575615628914e-17 relative error 1.6315867448463114e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) -0.1738894431858688 y[1] (numeric) -0.17388944318586877 absolute error 2.7755575615628914e-17 relative error 1.596162199792729e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) -0.17771077734524865 y[1] (numeric) -0.1777107773452485 absolute error 1.3877787807814457e-16 relative error 7.809198752675142e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) -0.18157671776537737 y[1] (numeric) -0.18157671776537726 absolute error 1.1102230246251565e-16 relative error 6.114346807720804e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) -0.18548593056462026 y[1] (numeric) -0.18548593056462018 absolute error 8.326672684688674e-17 relative error 4.489112818067782e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) -0.18943703847581145 y[1] (numeric) -0.18943703847581136 absolute error 8.326672684688674e-17 relative error 4.3954829275648107e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) -0.19342862135521127 y[1] (numeric) -0.19342862135521113 absolute error 1.3877787807814457e-16 relative error 7.17462995423483e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) -0.19745921671448957 y[1] (numeric) -0.19745921671448946 absolute error 1.1102230246251565e-16 relative error 5.62254344516342e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) -0.2015273202755321 y[1] (numeric) -0.20152732027553197 absolute error 1.3877787807814457e-16 relative error 6.886305930550991e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) -0.20563138654785262 y[1] (numeric) -0.20563138654785254 absolute error 8.326672684688674e-17 relative error 4.0493199138892e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) -0.20976982942838773 y[1] (numeric) -0.20976982942838757 absolute error 1.6653345369377348e-16 relative error 7.938865858239424e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) -0.21394102282343586 y[1] (numeric) -0.21394102282343574 absolute error 1.1102230246251565e-16 relative error 5.189388224723112e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) -0.21814330129249787 y[1] (numeric) -0.21814330129249762 absolute error 2.498001805406602e-16 relative error 1.1451196486923756e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) -0.22237496071375917 y[1] (numeric) -0.222374960713759 absolute error 1.6653345369377348e-16 relative error 7.488858150182438e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) -0.22663425897095174 y[1] (numeric) -0.22663425897095155 absolute error 1.942890293094024e-16 relative error 8.572800519726582e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) -0.23091941666131555 y[1] (numeric) -0.23091941666131538 absolute error 1.6653345369377348e-16 relative error 7.21175620922447e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) -0.23522861782437826 y[1] (numeric) -0.23522861782437793 absolute error 3.3306690738754696e-16 relative error 1.4159285144302247e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) -0.23956001069125327 y[1] (numeric) -0.23956001069125313 absolute error 1.3877787807814457e-16 relative error 5.793031886987287e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) -0.2439117084541566 y[1] (numeric) -0.24391170845415647 absolute error 1.3877787807814457e-16 relative error 5.68967676696127e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) -0.24828179005582168 y[1] (numeric) -0.24828179005582166 absolute error 2.7755575615628914e-17 relative error 1.1179062149257331e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) -0.25266830099849585 y[1] (numeric) -0.2526683009984956 absolute error 2.7755575615628914e-16 relative error 1.0984985257724967e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) -0.2570692541721781 y[1] (numeric) -0.25706925417217796 absolute error 1.1102230246251565e-16 relative error 4.318770162539776e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) -0.26148263070176525 y[1] (numeric) -0.26148263070176503 absolute error 2.220446049250313e-16 relative error 8.491753518354529e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) -0.26590638081274554 y[1] (numeric) -0.26590638081274554 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) -0.270338424715091 y[1] (numeric) -0.27033842471509084 absolute error 1.6653345369377348e-16 relative error 6.16018436407191e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) -0.27477665350497055 y[1] (numeric) -0.2747766535049706 absolute error 5.551115123125783e-17 relative error 2.0202280842704005e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) -0.2792189300839172 y[1] (numeric) -0.27921893008391707 absolute error 1.1102230246251565e-16 relative error 3.976173908737088e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) -0.2836630900950547 y[1] (numeric) -0.2836630900950548 absolute error 1.1102230246251565e-16 relative error 3.9138790466293095e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) -0.28810694287600114 y[1] (numeric) -0.2881069428760011 absolute error 5.551115123125783e-17 relative error 1.9267550680008907e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) -0.29254827242803827 y[1] (numeric) -0.2925482724280384 absolute error 1.1102230246251565e-16 relative error 3.795007967097983e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) -0.29698483840114864 y[1] (numeric) -0.29698483840114864 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) -0.3014143770944935 y[1] (numeric) -0.30141437709449365 absolute error 1.6653345369377348e-16 relative error 5.5250666971856224e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) -0.30583460247191835 y[1] (numeric) -0.30583460247191835 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) -0.3102432071920454 y[1] (numeric) -0.31024320719204557 absolute error 1.6653345369377348e-16 relative error 5.3678356151948454e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) -0.31463786365252444 y[1] (numeric) -0.31463786365252444 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) -0.3190162250479869 y[1] (numeric) -0.3190162250479871 absolute error 2.220446049250313e-16 relative error 6.960291906520775e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) -0.3233759264412623 y[1] (numeric) -0.32337592644126223 absolute error 5.551115123125783e-17 relative error 1.7166135971268975e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) -0.32771458584738755 y[1] (numeric) -0.3277145858473878 absolute error 2.220446049250313e-16 relative error 6.775548434955367e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) -0.3320298053299564 y[1] (numeric) -0.33202980532995635 absolute error 5.551115123125783e-17 relative error 1.6718725349398473e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) -0.336319172109325 y[1] (numeric) -0.3363191721093251 absolute error 1.1102230246251565e-16 relative error 3.3010994219035e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) -0.34058025968221095 y[1] (numeric) -0.34058025968221084 absolute error 1.1102230246251565e-16 relative error 3.259798514632307e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) -0.34481062895218856 y[1] (numeric) -0.3448106289521887 absolute error 1.6653345369377348e-16 relative error 4.829707663010151e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) -0.34900782937060737 y[1] (numeric) -0.3490078293706072 absolute error 1.6653345369377348e-16 relative error 4.7716251521948963e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) -0.35316940008742465 y[1] (numeric) -0.3531694000874246 absolute error 5.551115123125783e-17 relative error 1.5717995731656372e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) -0.3572928711114689 y[1] (numeric) -0.35729287111146857 absolute error 3.3306690738754696e-16 relative error 9.321957819965463e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) -0.3613757644796157 y[1] (numeric) -0.3613757644796156 absolute error 1.1102230246251565e-16 relative error 3.072212178433956e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) -0.3654155954343813 y[1] (numeric) -0.36541559543438096 absolute error 3.3306690738754696e-16 relative error 9.114742543804667e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) -0.369409873609408 y[1] (numeric) -0.36940987360940786 absolute error 1.6653345369377348e-16 relative error 4.508094276599007e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) -0.37335610422233684 y[1] (numeric) -0.3733561042223364 absolute error 4.440892098500626e-16 relative error 1.189452120449606e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) -0.37725178927453284 y[1] (numeric) -0.3772517892745327 absolute error 1.6653345369377348e-16 relative error 4.4143847273467566e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) -0.38109442875715216 y[1] (numeric) -0.3810944287571517 absolute error 4.440892098500626e-16 relative error 1.1652996641760227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) -0.3848815218630061 y[1] (numeric) -0.38488152186300595 absolute error 1.6653345369377348e-16 relative error 4.3268757847265274e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) -0.3886105682037062 y[1] (numeric) -0.38861056820370576 absolute error 4.440892098500626e-16 relative error 1.1427615360611475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) -0.39227906903153853 y[1] (numeric) -0.39227906903153836 absolute error 1.6653345369377348e-16 relative error 4.2452801293964654e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) -0.39588452846554456 y[1] (numeric) -0.39588452846554406 absolute error 4.996003610813204e-16 relative error 1.261985061699128e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) -0.39942445472125077 y[1] (numeric) -0.3994244547212505 absolute error 2.7755575615628914e-16 relative error 6.948892409454222e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) -0.40289636134352 y[1] (numeric) -0.4028963613435195 absolute error 4.996003610813204e-16 relative error 1.240022023071457e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) -0.4062977684419616 y[1] (numeric) -0.40629776844196147 absolute error 1.1102230246251565e-16 relative error 2.732535373951355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) -0.4096262039283677 y[1] (numeric) -0.4096262039283674 absolute error 2.7755575615628914e-16 relative error 6.775830098135664e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) -0.4128792047556107 y[1] (numeric) -0.4128792047556106 absolute error 1.1102230246251565e-16 relative error 2.688977821690763e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) -0.4160543181574645 y[1] (numeric) -0.4160543181574642 absolute error 3.3306690738754696e-16 relative error 8.005370761744883e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) -0.4191491028887819 y[1] (numeric) -0.4191491028887818 absolute error 5.551115123125783e-17 relative error 1.3243771929529168e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) -0.4221611304654882 y[1] (numeric) -0.4221611304654878 absolute error 3.885780586188048e-16 relative error 9.204496354042504e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) -0.4250879864038214 y[1] (numeric) -0.42508798640382134 absolute error 5.551115123125783e-17 relative error 1.3058743838157737e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) -0.42792727145827775 y[1] (numeric) -0.4279272714582773 absolute error 4.440892098500626e-16 relative error 1.0377679560751263e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) -0.43067660285769027 y[1] (numeric) -0.4306766028576902 absolute error 5.551115123125783e-17 relative error 1.2889288822035344e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) -0.43333361553890143 y[1] (numeric) -0.43333361553890115 absolute error 2.7755575615628914e-16 relative error 6.405128663076735e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) -0.4358959633774544 y[1] (numeric) -0.43589596337745434 absolute error 5.551115123125783e-17 relative error 1.2734954185200652e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) -0.43836132041476544 y[1] (numeric) -0.4383613204147651 absolute error 3.3306690738754696e-16 relative error 7.597999455618215e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) -0.4407273820812036 y[1] (numeric) -0.4407273820812036 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) -0.44299186641453997 y[1] (numeric) -0.44299186641453964 absolute error 3.3306690738754696e-16 relative error 7.518578390237798e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) -0.4451525152731952 y[1] (numeric) -0.44515251527319516 absolute error 5.551115123125783e-17 relative error 1.2470142103362034e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) -0.44720709554374993 y[1] (numeric) -0.4472070955437496 absolute error 3.3306690738754696e-16 relative error 7.447710707330744e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) -0.44915340034214857 y[1] (numeric) -0.4491534003421485 absolute error 5.551115123125783e-17 relative error 1.2359062892315069e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) -0.45098925020806513 y[1] (numeric) -0.4509892502080648 absolute error 3.3306690738754696e-16 relative error 7.3852515826904e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) -0.45271249429186466 y[1] (numeric) -0.4527124942918648 absolute error 1.1102230246251565e-16 relative error 2.4523799069468436e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) -0.45432101153363363 y[1] (numeric) -0.45432101153363336 absolute error 2.7755575615628914e-16 relative error 6.10924322472683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) -0.455812711833716 y[1] (numeric) -0.4558127118337161 absolute error 5.551115123125783e-17 relative error 1.217850002645576e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) -0.45718553721423505 y[1] (numeric) -0.45718553721423477 absolute error 2.7755575615628914e-16 relative error 6.07096536446707e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) -0.45843746297104226 y[1] (numeric) -0.4584374629710422 absolute error 5.551115123125783e-17 relative error 1.2108772889436449e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) -0.4595664988155791 y[1] (numeric) -0.45956649881557876 absolute error 3.3306690738754696e-16 relative error 7.247414862613919e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) -0.4605706900061 y[1] (numeric) -0.4605706900060999 absolute error 1.1102230246251565e-16 relative error 2.4105377279011226e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) -0.4614481184677488 y[1] (numeric) -0.46144811846774836 absolute error 4.440892098500626e-16 relative error 9.623816677911118e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) -0.46219690390094403 y[1] (numeric) -0.4621969039009437 absolute error 3.3306690738754696e-16 relative error 7.206169158132837e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) -0.46281520487757327 y[1] (numeric) -0.46281520487757305 absolute error 2.220446049250313e-16 relative error 4.79769468645197e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) -0.4633012199244638 y[1] (numeric) -0.4633012199244637 absolute error 1.1102230246251565e-16 relative error 2.3963308898823238e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) -0.46365318859362803 y[1] (numeric) -0.4636531885936279 absolute error 1.1102230246251565e-16 relative error 2.3945117858301175e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) -0.4638693925187736 y[1] (numeric) -0.4638693925187736 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) -0.4639481564575767 y[1] (numeric) -0.46394815645757675 absolute error 5.551115123125783e-17 relative error 1.1964947043891046e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) -0.46388784931922145 y[1] (numeric) -0.46388784931922145 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) -0.4636868851767149 y[1] (numeric) -0.46368688517671497 absolute error 5.551115123125783e-17 relative error 1.1971688871489662e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) -0.46334372426349113 y[1] (numeric) -0.4633437242634911 absolute error 5.551115123125783e-17 relative error 1.1980555325206073e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) -0.4628568739538236 y[1] (numeric) -0.46285687395382347 absolute error 1.1102230246251565e-16 relative error 2.398631384992495e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) -0.4622248897265733 y[1] (numeric) -0.4622248897265732 absolute error 5.551115123125783e-17 relative error 1.2009554756797099e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) -0.46144637611180356 y[1] (numeric) -0.46144637611180334 absolute error 2.220446049250313e-16 relative error 4.8119265080376805e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) -0.4605199876197991 y[1] (numeric) -0.4605199876197989 absolute error 2.220446049250313e-16 relative error 4.821606247161398e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) -0.459444429652037 y[1] (numeric) -0.4594444296520366 absolute error 4.440892098500626e-16 relative error 9.665787224504957e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) -0.458218459393658 y[1] (numeric) -0.4582184593936575 absolute error 4.996003610813204e-16 relative error 1.0903104203667863e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) -0.45684088668699946 y[1] (numeric) -0.4568408866869988 absolute error 6.661338147750939e-16 relative error 1.45813090331271e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) -0.45531057488575444 y[1] (numeric) -0.45531057488575355 absolute error 8.881784197001252e-16 relative error 1.9507089637067732e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) -0.45362644168933103 y[1] (numeric) -0.45362644168933 absolute error 1.0547118733938987e-15 relative error 2.3250670077037197e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) -0.45178745995699165 y[1] (numeric) -0.4517874599569905 absolute error 1.1657341758564144e-15 relative error 2.5802712097573216e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) -0.44979265850136263 y[1] (numeric) -0.4497926585013612 absolute error 1.4432899320127035e-15 relative error 3.2087894382747714e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) -0.4476411228609086 y[1] (numeric) -0.4476411228609069 absolute error 1.7208456881689926e-15 relative error 3.8442529077108383e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) -0.44533199605097784 y[1] (numeric) -0.44533199605097595 absolute error 1.887379141862766e-15 relative error 4.2381395421826256e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) -0.44286447929303063 y[1] (numeric) -0.4428644792930285 absolute error 2.1094237467877974e-15 relative error 4.763136005297125e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) -0.44023783272167283 y[1] (numeric) -0.4402378327216704 absolute error 2.4424906541753444e-15 relative error 5.548116205904403e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) -0.43745137606912304 y[1] (numeric) -0.43745137606912027 absolute error 2.7755575615628914e-15 relative error 6.344836737064731e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) -0.4345044893267545 y[1] (numeric) -0.4345044893267515 absolute error 2.9976021664879227e-15 relative error 6.898898032406005e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) -0.4313966133833573 y[1] (numeric) -0.43139661338335394 absolute error 3.3306690738754696e-15 relative error 7.720665787692905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) -0.4281272506397792 y[1] (numeric) -0.42812725063977547 absolute error 3.7192471324942744e-15 relative error 8.687246903663232e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) -0.42469596559961054 y[1] (numeric) -0.4246959655996063 absolute error 4.218847493575595e-15 relative error 9.933806382217877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) -0.4211023854355892 y[1] (numeric) -0.4211023854355846 absolute error 4.6074255521944e-15 relative error 1.0941342798209202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) -0.4173462005314109 y[1] (numeric) -0.417346200531406 absolute error 4.9404924595819466e-15 relative error 1.1837875733123173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) -0.413427164998639 y[1] (numeric) -0.41342716499863363 absolute error 5.384581669432009e-15 relative error 1.3024257052508233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) -0.40934509716841955 y[1] (numeric) -0.40934509716841366 absolute error 5.88418203051333e-15 relative error 1.4374624421340906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) -0.4050998800577161 y[1] (numeric) -0.4050998800577097 absolute error 6.38378239159465e-15 relative error 1.5758539327844603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) -0.4006914618097889 y[1] (numeric) -0.40069146180978205 absolute error 6.827871601444713e-15 relative error 1.7040222346155088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) -0.396119856108654 y[1] (numeric) -0.3961198561086468 absolute error 7.216449660063518e-15 relative error 1.821784378838125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) -0.3913851425672686 y[1] (numeric) -0.39138514256726076 absolute error 7.827072323607354e-15 relative error 1.9998388983971436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) -0.38648746708919635 y[1] (numeric) -0.3864874670891879 absolute error 8.43769498715119e-15 relative error 2.18317428264857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) -0.381427042203523 y[1] (numeric) -0.381427042203514 absolute error 9.048317650695026e-15 relative error 2.372227621414162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) -0.3762041473727972 y[1] (numeric) -0.3762041473727876 absolute error 9.603429163007604e-15 relative error 2.55271751523014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) -0.37081912927378563 y[1] (numeric) -0.37081912927377536 absolute error 1.0269562977782698e-14 relative error 2.76942643112686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) -0.36527240205084205 y[1] (numeric) -0.3652724020508312 absolute error 1.0824674490095276e-14 relative error 2.9634525984770665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) -0.35956444754170114 y[1] (numeric) -0.35956444754168965 absolute error 1.149080830487037e-14 relative error 3.19575764050969e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) -0.35369581547551754 y[1] (numeric) -0.3536958154755054 absolute error 1.2156942119645464e-14 relative error 3.4371178814488844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) -0.34766712364298397 y[1] (numeric) -0.3476671236429712 absolute error 1.27675647831893e-14 relative error 3.672353212292857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) -0.3414790580383722 y[1] (numeric) -0.3414790580383588 absolute error 1.3378187446733136e-14 relative error 3.917718270509526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) -0.3351323729733531 y[1] (numeric) -0.3351323729733389 absolute error 1.4155343563970746e-14 relative error 4.223806682231877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) -0.32862789116246116 y[1] (numeric) -0.3286278911624463 absolute error 1.4876988529977098e-14 relative error 4.52700118585567e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) -0.3219665037800852 y[1] (numeric) -0.3219665037800695 absolute error 1.5654144647214707e-14 relative error 4.8620413811453685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) -0.31514917048887203 y[1] (numeric) -0.3151491704888556 absolute error 1.6431300764452317e-14 relative error 5.213816916910625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) -0.3081769194394485 y[1] (numeric) -0.3081769194394314 absolute error 1.715294573045867e-14 relative error 5.565941071011623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) -0.301050847241373 y[1] (numeric) -0.30105084724135506 absolute error 1.7930101847696278e-14 relative error 5.9558383615245215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) -0.2937721189052438 y[1] (numeric) -0.29377211890522503 absolute error 1.8762769116165146e-14 relative error 6.386844737371785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) -0.2863419677559008 y[1] (numeric) -0.2863419677558813 absolute error 1.9539925233402755e-14 relative error 6.823982312666106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) -0.27876169531667094 y[1] (numeric) -0.27876169531665074 absolute error 2.020605904817785e-14 relative error 7.248506300416898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) -0.2710326711646175 y[1] (numeric) -0.27103267116459645 absolute error 2.1038726316646716e-14 relative error 7.762431822792462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) -0.26315633275676736 y[1] (numeric) -0.2631563327567453 absolute error 2.2037927038809357e-14 relative error 8.374461981570013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) -0.2551341852273017 y[1] (numeric) -0.2551341852272788 absolute error 2.2870594307278225e-14 relative error 8.964143431779859e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) -0.2469678011557071 y[1] (numeric) -0.24696780115568345 absolute error 2.3647750424515834e-14 relative error 9.575236250982576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) -0.23865882030589664 y[1] (numeric) -0.2386588203058721 absolute error 2.453592884421596e-14 relative error 1.028075510168343e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) -0.2302089493363224 y[1] (numeric) -0.2302089493362969 absolute error 2.550737399076297e-14 relative error 1.1080096609753482e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) -0.2216199614811133 y[1] (numeric) -0.22161996148108684 absolute error 2.6451063561694355e-14 relative error 1.1935325403415226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) -0.21289369620228354 y[1] (numeric) -0.21289369620225618 absolute error 2.736699755701011e-14 relative error 1.2854771205159133e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) -0.20403205881307018 y[1] (numeric) -0.20403205881304184 absolute error 2.833844270355712e-14 relative error 1.3889210778155309e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) -0.19503702007246826 y[1] (numeric) -0.19503702007243895 absolute error 2.930988785010413e-14 relative error 1.5027858731236615e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) -0.18591061575104717 y[1] (numeric) -0.18591061575101683 absolute error 3.03368441478824e-14 relative error 1.63179730352281e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) -0.17665494616814092 y[1] (numeric) -0.17665494616810956 absolute error 3.136380044566067e-14 relative error 1.7754272453718037e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) -0.16727217570051922 y[1] (numeric) -0.16727217570048683 absolute error 3.239075674343894e-14 relative error 1.93641032095085e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) -0.15776453226265674 y[1] (numeric) -0.15776453226262327 absolute error 3.347322419244847e-14 relative error 2.121720497780835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) -0.14813430675873107 y[1] (numeric) -0.14813430675869652 absolute error 3.4555691641458e-14 relative error 2.3327271310446306e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) -0.138383852506491 y[1] (numeric) -0.13838385250645538 absolute error 3.5610403514851896e-14 relative error 2.5733062687484846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) -0.12851558463314972 y[1] (numeric) -0.12851558463311302 absolute error 3.6692870963861424e-14 relative error 2.8551300660228835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) -0.1185319794434676 y[1] (numeric) -0.11853197944342986 absolute error 3.774758283725532e-14 relative error 3.1845906070655455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) -0.10843557376020319 y[1] (numeric) -0.10843557376016436 absolute error 3.883005028626485e-14 relative error 3.5809328009030024e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) -0.09822896423712107 y[1] (numeric) -0.09822896423708108 absolute error 3.9995784462121264e-14 relative error 4.0716895238325966e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) -0.08791480664475804 y[1] (numeric) -0.0879148066447169 absolute error 4.113376306236205e-14 relative error 4.6788208530757965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) -0.0774958151291602 y[1] (numeric) -0.07749581512911792 absolute error 4.228561945041065e-14 relative error 5.456503603444178e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) -0.06697476144381515 y[1] (numeric) -0.06697476144377175 absolute error 4.3395842475035806e-14 relative error 6.479432183038144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) -0.056354474155015155 y[1] (numeric) -0.05635447415497055 absolute error 4.4603210014315664e-14 relative error 7.914759330665548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) -0.04563783782089814 y[1] (numeric) -0.04563783782085238 absolute error 4.576200529626817e-14 relative error 1.0027207133663368e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) -0.034827792144425995 y[1] (numeric) -0.03482779214437898 absolute error 4.701794509287538e-14 relative error 1.3500122229367431e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) -0.02392733110056816 y[1] (numeric) -0.02392733110052004 absolute error 4.812122922359663e-14 relative error 2.0111406918448158e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) -0.012939502037974226 y[1] (numeric) -0.012939502037924898 absolute error 4.9328596762876487e-14 relative error 3.812248463511911e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) -0.0018674047554240736 y[1] (numeric) -0.001867404755373474 absolute error 5.0599498549463995e-14 relative error 2.7096160274034018e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 0.009285809446638593 y[1] (numeric) 0.009285809446690435 absolute error 5.184221107956688e-14 relative error 5.582950132401591e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 0.020516938739176704 y[1] (numeric) 0.020516938739229766 absolute error 5.3061721683178575e-14 relative error 2.5862397094288843e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 0.03182273176190986 y[1] (numeric) 0.03182273176196414 absolute error 5.427602811636234e-14 relative error 1.705574132429696e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 0.04319988864460844 y[1] (numeric) 0.04319988864466397 absolute error 5.552502901906564e-14 relative error 1.2853049107568809e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 0.05464506205198627 y[1] (numeric) 0.054645062052043065 absolute error 5.6794846603480664e-14 relative error 1.0393408749257015e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 0.06615485825183565 y[1] (numeric) 0.0661548582518937 absolute error 5.805078640008787e-14 relative error 8.774984624576245e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 0.07772583820603818 y[1] (numeric) 0.07772583820609757 absolute error 5.939693181744587e-14 relative error 7.641851562924875e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 0.08935451868407612 y[1] (numeric) 0.0893545186841367 absolute error 6.05765437811101e-14 relative error 6.779348674607707e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 0.10103737339865548 y[1] (numeric) 0.10103737339871735 absolute error 6.186717804723685e-14 relative error 6.123197383915774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 0.11277083416304778 y[1] (numeric) 0.112770834163111 absolute error 6.321332346459485e-14 relative error 5.605467400657775e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 0.12455129206974158 y[1] (numeric) 0.12455129206980611 absolute error 6.453171330633722e-14 relative error 5.181135597549896e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 0.13637509868998993 y[1] (numeric) 0.13637509869005576 absolute error 6.583622536027178e-14 relative error 4.827584067230027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 0.14823856729382817 y[1] (numeric) 0.14823856729389528 absolute error 6.711298183859071e-14 relative error 4.527363092059844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 0.1601379740901286 y[1] (numeric) 0.16013797409019698 absolute error 6.838973831690964e-14 relative error 4.2706758784408405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 0.17206955948624753 y[1] (numeric) 0.17206955948631725 absolute error 6.972200594645983e-14 relative error 4.0519663184255605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 0.18402952936681438 y[1] (numeric) 0.18402952936688546 absolute error 7.108202915162565e-14 relative error 3.8625338768292097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 0.1960140563912003 y[1] (numeric) 0.1960140563912725 absolute error 7.222000775186643e-14 relative error 3.684430039432041e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 0.20801928130919706 y[1] (numeric) 0.20801928130927053 absolute error 7.346900865456973e-14 relative error 3.5318364813195554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 0.22004131429443025 y[1] (numeric) 0.22004131429450513 absolute error 7.488454301096681e-14 relative error 3.4032037688507076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 0.23207623629501845 y[1] (numeric) 0.2320762362950946 absolute error 7.616129948928574e-14 relative error 3.2817362391411964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 0.24412010040098459 y[1] (numeric) 0.24412010040106202 absolute error 7.743805596760467e-14 relative error 3.1721294494147415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 0.25616893322791934 y[1] (numeric) 0.25616893322799816 absolute error 7.882583474838611e-14 relative error 3.077103603279363e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 0.26821873631638543 y[1] (numeric) 0.2682187363164656 absolute error 8.01581023779363e-14 relative error 2.988534786152427e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 0.2802654875465457 y[1] (numeric) 0.2802654875466272 absolute error 8.154588115871775e-14 relative error 2.9095941092345466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 0.29230514256749196 y[1] (numeric) 0.29230514256757484 absolute error 8.287814878826794e-14 relative error 2.8353298221269487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 0.30433363624074217 y[1] (numeric) 0.30433363624082627 absolute error 8.409939411535561e-14 relative error 2.7633946465526094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 0.31634688409736766 y[1] (numeric) 0.3163468840974531 absolute error 8.54316617449058e-14 relative error 2.7005690917003308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 0.32834078380820714 y[1] (numeric) 0.3283407838082939 absolute error 8.676392937445598e-14 relative error 2.6424962616017014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 0.3403112166666142 y[1] (numeric) 0.34031121666670217 absolute error 8.798517470154366e-14 relative error 2.5854326978513412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 0.3522540490831815 y[1] (numeric) 0.3522540490832708 absolute error 8.931744233109384e-14 relative error 2.5355973214094232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 0.3641651340918792 y[1] (numeric) 0.3641651340919699 absolute error 9.070522111187529e-14 relative error 2.4907717027350095e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 0.37604031286703704 y[1] (numeric) 0.37604031286712897 absolute error 9.192646643896296e-14 relative error 2.4445907338521697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 0.3878754162505952 y[1] (numeric) 0.3878754162506885 absolute error 9.331424521974441e-14 relative error 2.4057787967530468e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 0.3996662662890449 y[1] (numeric) 0.3996662662891395 absolute error 9.459100169806334e-14 relative error 2.3667497028546724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 0.4114086777794719 y[1] (numeric) 0.41140867777956774 absolute error 9.586775817638227e-14 relative error 2.3302317951535876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 0.42309845982411354 y[1] (numeric) 0.42309845982421074 absolute error 9.720002580593246e-14 relative error 2.297338209322235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 0.43473141739283483 y[1] (numeric) 0.43473141739293325 absolute error 9.842127113302013e-14 relative error 2.2639557942067035e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 0.44630335289292244 y[1] (numeric) 0.4463033528930221 absolute error 9.96425164601078e-14 relative error 2.2326185948240935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 0.457810067745595 y[1] (numeric) 0.45781006774569605 absolute error 1.0103029524088925e-13 relative error 2.206816808079279e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 0.46924736396862154 y[1] (numeric) 0.46924736396872374 absolute error 1.0219602941674566e-13 relative error 2.1778711456667763e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 0.48061104576443603 y[1] (numeric) 0.48061104576453934 absolute error 1.0330625244137082e-13 relative error 2.1494772821348088e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 0.49189692111313366 y[1] (numeric) 0.4918969211132383 absolute error 1.04638520070921e-13 relative error 2.1272448673622557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 0.5031008033697326 y[1] (numeric) 0.5031008033698386 absolute error 1.0602629885170245e-13 relative error 2.1074563614596916e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 0.5142185128650774 y[1] (numeric) 0.5142185128651847 absolute error 1.0735856648125264e-13 relative error 2.0878004932782688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 0.5252458785097613 y[1] (numeric) 0.5252458785098698 absolute error 1.084687895058778e-13 relative error 2.065105009745678e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 0.5361787394004431 y[1] (numeric) 0.5361787394005526 absolute error 1.0946799022804043e-13 relative error 2.041632429335932e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 0.5470129464279267 y[1] (numeric) 0.5470129464280374 absolute error 1.1068923555512811e-13 relative error 2.023521312940484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 0.5577443638863762 y[1] (numeric) 0.5577443638864881 absolute error 1.1191048088221578e-13 relative error 2.006483402224289e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 0.5683688710830306 y[1] (numeric) 0.5683688710831438 absolute error 1.1324274851176597e-13 relative error 1.9924164442007735e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 0.5788823639477879 y[1] (numeric) 0.5788823639479022 absolute error 1.142419492339286e-13 relative error 1.9734916167567444e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 0.5892807566420207 y[1] (numeric) 0.5892807566421362 absolute error 1.1546319456101628e-13 relative error 1.95939190716113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 0.5995599831659888 y[1] (numeric) 0.5995599831661055 absolute error 1.1668443988810395e-13 relative error 1.9461679092048368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 0.6097159989642108 y[1] (numeric) 0.6097159989643285 absolute error 1.176836406102666e-13 relative error 1.9301386352037386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 0.6197447825281581 y[1] (numeric) 0.6197447825282769 absolute error 1.1879386363489175e-13 relative error 1.916819100118755e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 0.6296423369956335 y[1] (numeric) 0.6296423369957537 absolute error 1.2012613126444194e-13 relative error 1.907847109481696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 0.6394046917461966 y[1] (numeric) 0.639404691746318 absolute error 1.213473765915296e-13 relative error 1.8978180510395264e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 0.6490279039919977 y[1] (numeric) 0.6490279039921203 absolute error 1.2256862191861728e-13 relative error 1.888495412365637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 0.6585080603633856 y[1] (numeric) 0.6585080603635094 absolute error 1.2378986724570495e-13 relative error 1.8798534854287705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 0.6678412784886503 y[1] (numeric) 0.6678412784887752 absolute error 1.249000902703301e-13 relative error 1.8702062045787838e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 0.677023708567268 y[1] (numeric) 0.6770237085673937 absolute error 1.2567724638756772e-13 relative error 1.856319724068875e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 0.6860515349360127 y[1] (numeric) 0.6860515349361395 absolute error 1.2678746941219288e-13 relative error 1.848075005385976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 0.6949209776273033 y[1] (numeric) 0.694920977627431 absolute error 1.27675647831893e-13 relative error 1.8372685807790852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 0.703628293919155 y[1] (numeric) 0.7036282939192838 absolute error 1.2878587085651816e-13 relative error 1.830311145380338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 0.7121697798761061 y[1] (numeric) 0.7121697798762359 absolute error 1.297850715786808e-13 relative error 1.822389481357368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 0.7205417718804952 y[1] (numeric) 0.720541771880626 absolute error 1.3078427230084344e-13 relative error 1.8150824477464793e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 0.7287406481534646 y[1] (numeric) 0.7287406481535964 absolute error 1.3178347302300608e-13 relative error 1.808372750400688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 0.7367628302650686 y[1] (numeric) 0.7367628302652012 absolute error 1.325606291402437e-13 relative error 1.7992306844870517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 0.7446047846328676 y[1] (numeric) 0.7446047846330014 absolute error 1.3378187446733136e-13 relative error 1.7966829817416956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 0.7522630240083984 y[1] (numeric) 0.7522630240085328 absolute error 1.3444800828210646e-13 relative error 1.787247332265602e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 0.7597341089509022 y[1] (numeric) 0.7597341089510377 absolute error 1.354472090042691e-13 relative error 1.7828238512458622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 0.7670146492877105 y[1] (numeric) 0.7670146492878467 absolute error 1.362243651215067e-13 relative error 1.7760334205873604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 0.7741013055606799 y[1] (numeric) 0.7741013055608168 absolute error 1.368904989362818e-13 relative error 1.7683796416947304e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 0.780990790458081 y[1] (numeric) 0.7809907904582186 absolute error 1.376676550535194e-13 relative error 1.7627308380009457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 0.7876798702313442 y[1] (numeric) 0.7876798702314826 absolute error 1.383337888682945e-13 relative error 1.756218409233505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 0.7941653660960752 y[1] (numeric) 0.7941653660962141 absolute error 1.3888890038060708e-13 relative error 1.748866247634939e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 0.8004441556167523 y[1] (numeric) 0.8004441556168919 absolute error 1.3955503419538218e-13 relative error 1.7434699624716887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 0.8065131740745309 y[1] (numeric) 0.8065131740746712 absolute error 1.4022116801015727e-13 relative error 1.7386097650675107e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 0.8123694158175768 y[1] (numeric) 0.8123694158177176 absolute error 1.4077627952246985e-13 relative error 1.732909644078503e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 0.8180099355933625 y[1] (numeric) 0.8180099355935038 absolute error 1.412203687323199e-13 relative error 1.726389406626002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 0.8234318498623641 y[1] (numeric) 0.823431849862506 absolute error 1.41886502547095e-13 relative error 1.723111664563512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 0.8286323380926028 y[1] (numeric) 0.8286323380927452 absolute error 1.4233059175694507e-13 relative error 1.7176567364552827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 0.833608644034481 y[1] (numeric) 0.8336086440346238 absolute error 1.4277468096679513e-13 relative error 1.7127303320152408e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 0.8383580769753696 y[1] (numeric) 0.838358076975513 absolute error 1.4344081478157023e-13 relative error 1.71097313571638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 0.8428780129734134 y[1] (numeric) 0.8428780129735572 absolute error 1.438849039914203e-13 relative error 1.707066761462181e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 0.8471658960700206 y[1] (numeric) 0.8471658960701648 absolute error 1.4421797089880783e-13 relative error 1.702358080841439e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 0.8512192394805197 y[1] (numeric) 0.8512192394806642 absolute error 1.4455103780619538e-13 relative error 1.698164598516496e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 0.8550356267624664 y[1] (numeric) 0.8550356267626117 absolute error 1.45328193923433e-13 relative error 1.6996741349095385e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 0.8586127129610969 y[1] (numeric) 0.8586127129612428 absolute error 1.4588330543574557e-13 relative error 1.6990582975721142e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 0.8619482257314255 y[1] (numeric) 0.8619482257315717 absolute error 1.4621637234313312e-13 relative error 1.6963475064764815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 0.8650399664364994 y[1] (numeric) 0.8650399664366456 absolute error 1.4621637234313312e-13 relative error 1.6902845881845915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 0.8678858112213276 y[1] (numeric) 0.8678858112214741 absolute error 1.4654943925052066e-13 relative error 1.6885797342888895e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 0.8704837120620117 y[1] (numeric) 0.8704837120621588 absolute error 1.4710455076283324e-13 relative error 1.6899173267052904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 0.8728316977896118 y[1] (numeric) 0.8728316977897591 absolute error 1.4732659536775827e-13 relative error 1.6879152732520263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 0.874927875088293 y[1] (numeric) 0.8749278750884402 absolute error 1.4721557306529576e-13 relative error 1.6826023865160265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 0.8767704294673067 y[1] (numeric) 0.8767704294674542 absolute error 1.475486399726833e-13 relative error 1.682865149345062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 0.8783576262063708 y[1] (numeric) 0.8783576262065187 absolute error 1.4788170688007085e-13 relative error 1.68361613160658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 0.8796878112740176 y[1] (numeric) 0.8796878112741652 absolute error 1.475486399726833e-13 relative error 1.677284123773346e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 0.8807594122184927 y[1] (numeric) 0.8807594122186403 absolute error 1.475486399726833e-13 relative error 1.6752434084244613e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 0.8815709390308006 y[1] (numeric) 0.8815709390309485 absolute error 1.4788170688007085e-13 relative error 1.6774793761084282e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 0.882120984979496 y[1] (numeric) 0.8821209849796442 absolute error 1.482147737874584e-13 relative error 1.6802091358353015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 0.8824082274168312 y[1] (numeric) 0.8824082274169794 absolute error 1.482147737874584e-13 relative error 1.679662192422474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 0.8824314285558862 y[1] (numeric) 0.8824314285560343 absolute error 1.4810375148499588e-13 relative error 1.6783598894179252e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 0.8821894362183135 y[1] (numeric) 0.8821894362184618 absolute error 1.4832579608992091e-13 relative error 1.6813372502594222e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 0.8816811845523423 y[1] (numeric) 0.8816811845524908 absolute error 1.4843681839238343e-13 relative error 1.683565681031852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 0.8809056947206951 y[1] (numeric) 0.8809056947208432 absolute error 1.4810375148499588e-13 relative error 1.68126681860031e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 0.8798620755580822 y[1] (numeric) 0.8798620755582298 absolute error 1.4765966227514582e-13 relative error 1.678213738005331e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 0.8785495241979563 y[1] (numeric) 0.878549524198104 absolute error 1.4765966227514582e-13 relative error 1.6807209862181302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 0.8769673266682121 y[1] (numeric) 0.8769673266683596 absolute error 1.475486399726833e-13 relative error 1.6824873115085414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 0.8751148584555275 y[1] (numeric) 0.8751148584556747 absolute error 1.4721557306529576e-13 relative error 1.6822428695258762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 0.8729915850380651 y[1] (numeric) 0.8729915850382116 absolute error 1.4654943925052066e-13 relative error 1.6787039160764724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 0.870597062386251 y[1] (numeric) 0.8705970623863973 absolute error 1.4632739464559563e-13 relative error 1.680770599484009e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 0.8679309374313727 y[1] (numeric) 0.8679309374315191 absolute error 1.4632739464559563e-13 relative error 1.6859336190809046e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 0.8649929485017351 y[1] (numeric) 0.8649929485018809 absolute error 1.4577228313328305e-13 relative error 1.685242444875152e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 0.8617829257261387 y[1] (numeric) 0.8617829257262837 absolute error 1.4499512701604544e-13 relative error 1.6825017378230426e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 0.858300791404452 y[1] (numeric) 0.8583007914045969 absolute error 1.4488410471358293e-13 relative error 1.6880341503181725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 0.8545465603450613 y[1] (numeric) 0.8545465603452059 absolute error 1.446620601086579e-13 relative error 1.6928517043032055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 0.8505203401689895 y[1] (numeric) 0.8505203401691335 absolute error 1.439959262938828e-13 relative error 1.6930333055323796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 0.8462223315804982 y[1] (numeric) 0.8462223315806414 absolute error 1.432187701766452e-13 relative error 1.6924484834754244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 0.8416528286039923 y[1] (numeric) 0.8416528286041354 absolute error 1.4310774787418268e-13 relative error 1.7003180291278576e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 0.8368122187870618 y[1] (numeric) 0.8368122187872047 absolute error 1.4288570326925765e-13 relative error 1.707500202092733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 0.8317009833695039 y[1] (numeric) 0.8317009833696458 absolute error 1.41886502547095e-13 relative error 1.705979737720935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 0.8263196974181882 y[1] (numeric) 0.8263196974183292 absolute error 1.4099832412739488e-13 relative error 1.706341075590235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 0.8206690299276379 y[1] (numeric) 0.8206690299277786 absolute error 1.4066525722000733e-13 relative error 1.7140315046665087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 0.8147497438862117 y[1] (numeric) 0.8147497438863519 absolute error 1.4022116801015727e-13 relative error 1.7210335942092744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 0.8085626963077817 y[1] (numeric) 0.8085626963079208 absolute error 1.3911094498553211e-13 relative error 1.7204719636556068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 0.8021088382288222 y[1] (numeric) 0.8021088382289604 absolute error 1.38222766565832e-13 relative error 1.723242033725109e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 0.7953892146708348 y[1] (numeric) 0.7953892146709726 absolute error 1.3777867735598193e-13 relative error 1.7322170682563314e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 0.7884049645680458 y[1] (numeric) 0.7884049645681829 absolute error 1.3711254354120683e-13 relative error 1.739113142397937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 0.7811573206603266 y[1] (numeric) 0.7811573206604628 absolute error 1.362243651215067e-13 relative error 1.743878749114887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 0.7736476093513014 y[1] (numeric) 0.7736476093514366 absolute error 1.3522516439934407e-13 relative error 1.747890935935671e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 0.7658772505316229 y[1] (numeric) 0.7658772505317575 absolute error 1.3455903058456897e-13 relative error 1.7569268507605717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 0.7578477573674057 y[1] (numeric) 0.75784775736754 absolute error 1.3422596367718143e-13 relative error 1.7711468084757883e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 0.7495607360538195 y[1] (numeric) 0.7495607360539525 absolute error 1.3300471835009375e-13 relative error 1.774435505391038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 0.7410178855338593 y[1] (numeric) 0.7410178855339911 absolute error 1.3178347302300608e-13 relative error 1.7784115012023487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 0.7322209971823318 y[1] (numeric) 0.7322209971824629 absolute error 1.31117339208231e-13 relative error 1.7906798591242965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 0.7231719544550943 y[1] (numeric) 0.7231719544552249 absolute error 1.305622276959184e-13 relative error 1.8054105512747138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 0.7138727325036056 y[1] (numeric) 0.7138727325037348 absolute error 1.2922996006636822e-13 relative error 1.8102660906118237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 0.7043253977548609 y[1] (numeric) 0.704325397754989 absolute error 1.2811973704174306e-13 relative error 1.819041844155319e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 0.6945321074567998 y[1] (numeric) 0.6945321074569271 absolute error 1.2723155862204294e-13 relative error 1.8319031943380212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 0.6844951091892795 y[1] (numeric) 0.6844951091894058 absolute error 1.2634338020234281e-13 relative error 1.8457893782759785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 0.6742167403407265 y[1] (numeric) 0.6742167403408517 absolute error 1.2512213487525514e-13 relative error 1.8558147163777423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 0.6636994275505919 y[1] (numeric) 0.6636994275507156 absolute error 1.2378986724570495e-13 relative error 1.865149525630242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 0.6529456861177495 y[1] (numeric) 0.6529456861178724 absolute error 1.2290168882600483e-13 relative error 1.8822651169769923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 0.6419581193749891 y[1] (numeric) 0.6419581193751112 absolute error 1.220135104063047e-13 relative error 1.9006459568592598e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 0.6307394180297637 y[1] (numeric) 0.6307394180298844 absolute error 1.2068124277675452e-13 relative error 1.9133296465555562e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 0.6192923594713737 y[1] (numeric) 0.6192923594714927 absolute error 1.1901590823981678e-13 relative error 1.9218048861673094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 0.6076198070447779 y[1] (numeric) 0.607619807044896 absolute error 1.1812772982011666e-13 relative error 1.9441059763117852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 0.5957247092912368 y[1] (numeric) 0.5957247092913539 absolute error 1.1712852909795402e-13 relative error 1.96615193681168e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 0.583610099156 y[1] (numeric) 0.5836100991561155 absolute error 1.1546319456101628e-13 relative error 1.9784303720582594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 0.5712790931632697 y[1] (numeric) 0.5712790931633835 absolute error 1.1379786002407855e-13 relative error 1.99198362737135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 0.558734890558688 y[1] (numeric) 0.5587348905588007 absolute error 1.1268763699945339e-13 relative error 2.0168355136507623e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 0.5459807724195975 y[1] (numeric) 0.545980772419709 absolute error 1.1146639167236572e-13 relative error 2.0415808999717207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 0.5330201007333448 y[1] (numeric) 0.5330201007334546 absolute error 1.0980105713542798e-13 relative error 2.0599796702668518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 0.5198563174439064 y[1] (numeric) 0.5198563174440145 absolute error 1.0813572259849025e-13 relative error 2.0801078869289363e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 0.5064929434671352 y[1] (numeric) 0.5064929434672422 absolute error 1.0691447727140257e-13 relative error 2.1108779233829527e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 0.4929335776749299 y[1] (numeric) 0.4929335776750356 absolute error 1.056932319443149e-13 relative error 2.1441678297276674e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 0.47918189584864307 y[1] (numeric) 0.4791818958487469 absolute error 1.0380585280245214e-13 relative error 2.166314163823101e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 0.46524164960206044 y[1] (numeric) 0.4652416496021623 absolute error 1.0186296250935811e-13 relative error 2.189463531403208e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 0.45111666527429617 y[1] (numeric) 0.45111666527439676 absolute error 1.0058620603103918e-13 relative error 2.22971603077175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 0.43681084279295623 y[1] (numeric) 0.4368108427930556 absolute error 9.936496070395151e-14 relative error 2.2747823764770752e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 0.4223281545079333 y[1] (numeric) 0.42232815450803074 absolute error 9.742207041085749e-14 relative error 2.3067860707597567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 0.4076726439962134 y[1] (numeric) 0.407672643996309 absolute error 9.559020242022598e-14 relative error 2.3447784350503012e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 0.3928484248380866 y[1] (numeric) 0.39284842483818083 absolute error 9.425793479067579e-14 relative error 2.3993461302415665e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 0.3778596793651599 y[1] (numeric) 0.3778596793652527 absolute error 9.281464485866309e-14 relative error 2.456325718970611e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 0.3627106573805827 y[1] (numeric) 0.3627106573806736 absolute error 9.087175456556906e-14 relative error 2.5053511033236535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 0.34740567485190976 y[1] (numeric) 0.3474056748519986 absolute error 8.881784197001252e-14 relative error 2.5566030839269774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 0.3319491125770394 y[1] (numeric) 0.33194911257712684 absolute error 8.743006318923108e-14 relative error 2.63383934093031e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 0.3163454148236698 y[1] (numeric) 0.31634541482375583 absolute error 8.604228440844963e-14 relative error 2.719884037402894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 0.30059908794272655 y[1] (numeric) 0.30059908794281054 absolute error 8.398837181289309e-14 relative error 2.794032822511274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 0.2847146989562308 y[1] (numeric) 0.2847146989563127 absolute error 8.18789480661053e-14 relative error 2.875824408303294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 0.2686968741200877 y[1] (numeric) 0.26869687412016807 absolute error 8.038014698286133e-14 relative error 2.99148053903066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 0.25255029746227897 y[1] (numeric) 0.25255029746235785 absolute error 7.888134589961737e-14 relative error 3.1233915260542955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 0.23627970929695608 y[1] (numeric) 0.2362797092970329 absolute error 7.682743330406083e-14 relative error 3.251545955116451e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 0.21988990471494183 y[1] (numeric) 0.21988990471501654 absolute error 7.471800955727304e-14 relative error 3.3979736202139456e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 0.20338573205116064 y[1] (numeric) 0.2033857320512338 absolute error 7.316369732279782e-14 relative error 3.597287606408588e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 0.18677209132952113 y[1] (numeric) 0.1867720913295928 absolute error 7.166489623955385e-14 relative error 3.837023814929384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 0.17005393268578425 y[1] (numeric) 0.17005393268585373 absolute error 6.947220576591917e-14 relative error 4.085304271926828e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 0.15323625476896385 y[1] (numeric) 0.15323625476903116 absolute error 6.730727086790012e-14 relative error 4.3923855336571685e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 0.13632410312181575 y[1] (numeric) 0.13632410312188148 absolute error 6.572520305780927e-14 relative error 4.8212459537752396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 0.11932256854097562 y[1] (numeric) 0.11932256854103983 absolute error 6.421252418675749e-14 relative error 5.381423227132994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 0.10223678541731368 y[1] (numeric) 0.1022367854173757 absolute error 6.201983371312281e-14 relative error 6.066293405056515e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 0.08507193005708752 y[1] (numeric) 0.08507193005714737 absolute error 5.985489881510375e-14 relative error 7.035798855737506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 0.0678332189844833 y[1] (numeric) 0.06783321898454157 absolute error 5.82728310050129e-14 relative error 8.590603818807815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 0.05052590722613742 y[1] (numeric) 0.050525907226194065 absolute error 5.6642190937594705e-14 relative error 1.1210524273039334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 0.03315528657823896 y[1] (numeric) 0.03315528657829336 absolute error 5.4393989312728763e-14 relative error 1.6405826921257723e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 0.01572668385682574 y[1] (numeric) 0.015726683856877925 absolute error 5.218395160433431e-14 relative error 3.3181789676331087e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) -0.0017545408681064467 y[1] (numeric) -0.001754540868055869 absolute error 5.0577814506014285e-14 relative error 2.882680901049594e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) -0.01928299605405981 y[1] (numeric) -0.019282996054010917 absolute error 4.889144644693033e-14 relative error 2.5354694005985033e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) -0.03685326048242721 y[1] (numeric) -0.036853260482380495 absolute error 4.671263376110346e-14 relative error 1.267530556309326e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) -0.05445988506918048 y[1] (numeric) -0.05445988506913596 absolute error 4.451994328746878e-14 relative error 8.174814036224098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) -0.07209739468920998 y[1] (numeric) -0.07209739468916718 absolute error 4.2799097599299785e-14 relative error 5.936289068945379e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) -0.08976029001366703 y[1] (numeric) -0.0897602900136259 absolute error 4.113376306236205e-14 relative error 4.5826236809282773e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) -0.10744304935965543 y[1] (numeric) -0.10744304935961659 absolute error 3.8843928074072664e-14 relative error 3.615303949913623e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) -0.12514013055161022 y[1] (numeric) -0.12514013055157355 absolute error 3.6665115388245795e-14 relative error 2.929924655394569e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) -0.14284597279369296 y[1] (numeric) -0.14284597279365796 absolute error 3.499978085130806e-14 relative error 2.4501762399600106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) -0.1605549985525365 y[1] (numeric) -0.16055499855250324 absolute error 3.325117958752344e-14 relative error 2.0710149099869384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) -0.17826161544966385 y[1] (numeric) -0.17826161544963268 absolute error 3.116951141635127e-14 relative error 1.7485262510230464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) -0.19596021816289766 y[1] (numeric) -0.1959602181628687 absolute error 2.8949065367100957e-14 relative error 1.477292974997415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) -0.21364519033607543 y[1] (numeric) -0.21364519033604812 absolute error 2.731148640577885e-14 relative error 1.2783571847705258e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) -0.23131090649638059 y[1] (numeric) -0.23131090649635494 absolute error 2.5646151868841116e-14 relative error 1.1087307666248073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) -0.24895173397860104 y[1] (numeric) -0.24895173397857762 absolute error 2.3425705819590803e-14 relative error 9.40973796214024e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) -0.26656203485561525 y[1] (numeric) -0.2665620348555941 absolute error 2.1149748619109232e-14 relative error 7.934268895630657e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) -0.2841361678744052 y[1] (numeric) -0.28413616787438567 absolute error 1.9539925233402755e-14 relative error 6.876958107649237e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) -0.3016684903968945 y[1] (numeric) -0.30166849039687677 absolute error 1.7708057242771247e-14 relative error 5.870038736718372e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) -0.31915336034491004 y[1] (numeric) -0.31915336034489455 absolute error 1.5487611193520934e-14 relative error 4.852717570256326e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) -0.3365851381485559 y[1] (numeric) -0.3365851381485424 absolute error 1.3489209749195652e-14 relative error 4.007666477312503e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) -0.3539581886972877 y[1] (numeric) -0.35395818869727586 absolute error 1.1823875212257917e-14 relative error 3.340472290180561e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) -0.37126688329297913 y[1] (numeric) -0.37126688329296903 absolute error 1.0103029524088925e-14 relative error 2.7212310008582923e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) -0.3885056016042673 y[1] (numeric) -0.3885056016042593 absolute error 7.993605777301127e-15 relative error 2.0575265180972687e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) -0.4056687336214601 y[1] (numeric) -0.4056687336214543 absolute error 5.828670879282072e-15 relative error 1.4368055499985745e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) -0.4227506816112901 y[1] (numeric) -0.4227506816112859 absolute error 4.218847493575595e-15 relative error 9.979516715373936e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) -0.43974586207079613 y[1] (numeric) -0.43974586207079347 absolute error 2.6645352591003757e-15 relative error 6.05926169845665e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) -0.45664870767962096 y[1] (numeric) -0.4566487076796204 absolute error 5.551115123125783e-16 relative error 1.2156204604920017e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) -0.473453669250003 y[1] (numeric) -0.4734536692500046 absolute error 1.609823385706477e-15 relative error 3.400170893715102e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) -0.4901552176737433 y[1] (numeric) -0.49015521767374665 absolute error 3.3306690738754696e-15 relative error 6.795131325302808e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) -0.5067478458654329 y[1] (numeric) -0.506747845865438 absolute error 5.10702591327572e-15 relative error 1.0078041682750228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) -0.5232260707012307 y[1] (numeric) -0.5232260707012307 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) -0.5395844349524423 y[1] (numeric) -0.5395844349524364 absolute error 5.995204332975845e-15 relative error 1.1110780713132038e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) -0.5558175092132447 y[1] (numeric) -0.5558175092132337 absolute error 1.099120794378905e-14 relative error 1.9774850129041487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) -0.5719198938217938 y[1] (numeric) -0.5719198938217768 absolute error 1.6986412276764895e-14 relative error 2.9700684414481553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) -0.58788622077401 y[1] (numeric) -0.5878862207739882 absolute error 2.1760371282653068e-14 relative error 3.701459655578149e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) -0.6037111556293546 y[1] (numeric) -0.6037111556293275 absolute error 2.708944180085382e-14 relative error 4.487152763081496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) -0.619389399407861 y[1] (numeric) -0.619389399407829 absolute error 3.197442310920451e-14 relative error 5.162249005193211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) -0.6349156904777388 y[1] (numeric) -0.6349156904777012 absolute error 3.752553823233029e-14 relative error 5.9103182981813554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) -0.6502848064328286 y[1] (numeric) -0.6502848064327863 absolute error 4.2299497238218464e-14 relative error 6.504764807631686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) -0.6654915659592253 y[1] (numeric) -0.6654915659591777 absolute error 4.7628567756419216e-14 relative error 7.1569002813384145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) -0.6805308306903556 y[1] (numeric) -0.6805308306903031 absolute error 5.2513549064769904e-14 relative error 7.716556942982028e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) -0.6953975070498336 y[1] (numeric) -0.6953975070497759 absolute error 5.773159728050814e-14 relative error 8.301956319261148e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) -0.7100865480813898 y[1] (numeric) -0.7100865480813273 absolute error 6.250555628639631e-14 relative error 8.802526460370568e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) -0.724592955265203 y[1] (numeric) -0.7245929552651353 absolute error 6.761258219967203e-14 relative error 9.331112275984749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) -0.7389117803199379 y[1] (numeric) -0.7389117803198657 absolute error 7.216449660063518e-14 relative error 9.766321030825766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) -0.7530381269898301 y[1] (numeric) -0.7530381269897529 absolute error 7.716050021144838e-14 relative error 1.0246559562646215e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) -0.7669671528161288 y[1] (numeric) -0.7669671528160474 absolute error 8.137934770502397e-14 relative error 1.0610538848530545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) -0.780694070892248 y[1] (numeric) -0.7806940708921616 absolute error 8.637535131583718e-14 relative error 1.106391793357923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) -0.7942141516019462 y[1] (numeric) -0.7942141516018556 absolute error 9.059419880941277e-14 relative error 1.1406772169279837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) -0.8075227243399019 y[1] (numeric) -0.8075227243398064 absolute error 9.547918011776346e-14 relative error 1.1823714335198625e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) -0.8206151792140098 y[1] (numeric) -0.8206151792139101 absolute error 9.969802761133906e-14 relative error 1.2149181508783499e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) -0.8334869687287787 y[1] (numeric) -0.8334869687286746 absolute error 1.0413891970983968e-13 relative error 1.2494366872786353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) -0.8461336094491722 y[1] (numeric) -0.8461336094490639 absolute error 1.0824674490095276e-13 relative error 1.2793103085861433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) -0.85855068364428 y[1] (numeric) -0.8585506836441674 absolute error 1.1257661469699087e-13 relative error 1.3112401730220311e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) -0.8707338409101809 y[1] (numeric) -0.8707338409100644 absolute error 1.1646239528317892e-13 relative error 1.3375200297882117e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) -0.8826787997713927 y[1] (numeric) -0.882678799771272 absolute error 1.2079226507921703e-13 relative error 1.3684736181553396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) -0.8943813492602894 y[1] (numeric) -0.894381349260165 absolute error 1.2445600106048005e-13 relative error 1.3915317125453601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) -0.9058373504738958 y[1] (numeric) -0.9058373504737673 absolute error 1.284528039491306e-13 relative error 1.4180559443914466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) -0.9170427381074497 y[1] (numeric) -0.9170427381073178 absolute error 1.318944953254686e-13 relative error 1.4382589801394244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) -0.9279935219641647 y[1] (numeric) -0.9279935219640287 absolute error 1.3600232051658168e-13 relative error 1.465552477443194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) -0.9386857884405957 y[1] (numeric) -0.9386857884404564 absolute error 1.3933298959045715e-13 relative error 1.4843411001451927e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) -0.9491157019870581 y[1] (numeric) -0.949115701986915 absolute error 1.4310774787418268e-13 relative error 1.507800867424002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) -0.9592795065425206 y[1] (numeric) -0.9592795065423744 absolute error 1.4621637234313312e-13 relative error 1.5242311687667852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) -0.9691735269434383 y[1] (numeric) -0.9691735269432885 absolute error 1.4976908602193362e-13 relative error 1.545327868109157e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) -0.978794170305967 y[1] (numeric) -0.9787941703058142 absolute error 1.5287771049088406e-13 relative error 1.5618984576000807e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) -0.9881379273810396 y[1] (numeric) -0.9881379273808836 absolute error 1.559863349598345e-13 relative error 1.5785886831938595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) -0.9972013738817709 y[1] (numeric) -0.9972013738816118 absolute error 1.5909495942878493e-13 relative error 1.5954145631536942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) -1.0059811717826836 y[1] (numeric) -1.0059811717825216 absolute error 1.6209256159527285e-13 relative error 1.611288224291824e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) -1.0144740705902469 y[1] (numeric) -1.014474070590082 absolute error 1.6475709685437323e-13 relative error 1.6240641494021958e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) -1.0226769085842375 y[1] (numeric) -1.0226769085840703 absolute error 1.6719958750854857e-13 relative error 1.6349209227772097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) -1.030586614029439 y[1] (numeric) -1.0305866140292697 absolute error 1.694200335577989e-13 relative error 1.6439184368540552e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) -1.0382002063572047 y[1] (numeric) -1.0382002063570326 absolute error 1.7208456881689926e-13 relative error 1.6575277847487887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) -1.0455147973164236 y[1] (numeric) -1.0455147973162495 absolute error 1.7408297026122455e-13 relative error 1.6650454944114824e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) -1.0525275920934416 y[1] (numeric) -1.0525275920932649 absolute error 1.7674750552032492e-13 relative error 1.6792671930697812e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) -1.0592358904004884 y[1] (numeric) -1.0592358904003096 absolute error 1.787459069646502e-13 relative error 1.687498588223515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) -1.0656370875321948 y[1] (numeric) -1.0656370875320138 absolute error 1.8096635301390052e-13 relative error 1.6981987125934486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) -1.0717286753897701 y[1] (numeric) -1.0717286753895874 absolute error 1.8274270985330077e-13 relative error 1.7051210259615407e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) -1.0775082434724434 y[1] (numeric) -1.0775082434722585 absolute error 1.8496315590255108e-13 relative error 1.7165822816025758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) -1.0829734798357686 y[1] (numeric) -1.0829734798355821 absolute error 1.865174681370263e-13 relative error 1.7222717971386648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) -1.088122172016417 y[1] (numeric) -1.0881221720162289 absolute error 1.8807178037150152e-13 relative error 1.728406838939626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) -1.09295220792308 y[1] (numeric) -1.0929522079228904 absolute error 1.8962609260597674e-13 relative error 1.7349897939848643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) -1.0974615766931335 y[1] (numeric) -1.0974615766929425 absolute error 1.9095836023552692e-13 relative error 1.740000418155156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) -1.1016483695147088 y[1] (numeric) -1.1016483695145165 absolute error 1.9229062786507711e-13 relative error 1.7454809827366582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) -1.105510780413846 y[1] (numeric) -1.1055107804136528 absolute error 1.9317880628477724e-13 relative error 1.747416757098118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) -1.1090471070064039 y[1] (numeric) -1.1090471070062096 absolute error 1.942890293094024e-13 relative error 1.75185551706489e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) -1.1122557512144209 y[1] (numeric) -1.1122557512142255 absolute error 1.9539925233402755e-13 relative error 1.7567834746701025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) -1.1151352199466338 y[1] (numeric) -1.115135219946437 absolute error 1.9673151996357774e-13 relative error 1.7641943007861644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) -1.1176841257428687 y[1] (numeric) -1.1176841257426715 absolute error 1.971756091734278e-13 relative error 1.7641443108299946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) -1.1199011873820441 y[1] (numeric) -1.1199011873818463 absolute error 1.978417429882029e-13 relative error 1.7665999930823448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) -1.1217852304535183 y[1] (numeric) -1.1217852304533198 absolute error 1.98507876802978e-13 relative error 1.7695711390559556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) -1.123335187891552 y[1] (numeric) -1.1233351878913533 absolute error 1.9872992140790302e-13 relative error 1.769106171960213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) -1.1245501004726512 y[1] (numeric) -1.1245501004724523 absolute error 1.9895196601282805e-13 relative error 1.7691694298831864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) -1.125429117275575 y[1] (numeric) -1.1254291172753754 absolute error 1.9961809982760315e-13 relative error 1.7737065512471917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) -1.1259714961038099 y[1] (numeric) -1.1259714961036107 absolute error 1.9917401061775308e-13 relative error 1.7689081056399147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) -1.126176603870324 y[1] (numeric) -1.1261766038701244 absolute error 1.9961809982760315e-13 relative error 1.77252927419711e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) -1.126043916944421 y[1] (numeric) -1.1260439169442218 absolute error 1.9917401061775308e-13 relative error 1.7687943393737446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) -1.1255730214605442 y[1] (numeric) -1.125573021460345 absolute error 1.9917401061775308e-13 relative error 1.7695343333594187e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) -1.1247636135888741 y[1] (numeric) -1.1247636135886754 absolute error 1.9872992140790302e-13 relative error 1.76685944501529e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) -1.123615499767597 y[1] (numeric) -1.1236154997673984 absolute error 1.98507876802978e-13 relative error 1.766688665687118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) -1.1221285968967187 y[1] (numeric) -1.122128596896521 absolute error 1.978417429882029e-13 relative error 1.763093316892024e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) -1.1203029324933276 y[1] (numeric) -1.1203029324931306 absolute error 1.9695356456850277e-13 relative error 1.7580384631339506e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) -1.1181386448082093 y[1] (numeric) -1.118138644808013 absolute error 1.9628743075372768e-13 relative error 1.7554838272081745e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) -1.1156359829037452 y[1] (numeric) -1.1156359829035494 absolute error 1.9584334154387761e-13 relative error 1.7554412419913366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) -1.1127953066930265 y[1] (numeric) -1.1127953066928322 absolute error 1.942890293094024e-13 relative error 1.745954787379406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) -1.1096170869401458 y[1] (numeric) -1.1096170869399522 absolute error 1.936228954946273e-13 relative error 1.7449523603548435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) -1.1061019052216219 y[1] (numeric) -1.1061019052214291 absolute error 1.9273471707492718e-13 relative error 1.7424679965297615e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) -1.1022504538489521 y[1] (numeric) -1.1022504538487607 absolute error 1.91402449445377e-13 relative error 1.7364696814323652e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) -1.098063535752278 y[1] (numeric) -1.0980635357520883 absolute error 1.8984813721090177e-13 relative error 1.7289358131798603e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) -1.0935420643251827 y[1] (numeric) -1.093542064324994 absolute error 1.887379141862766e-13 relative error 1.7259319082777623e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) -1.0886870632306356 y[1] (numeric) -1.0886870632304488 absolute error 1.8673951274195133e-13 relative error 1.7152726347992897e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) -1.0834996661681366 y[1] (numeric) -1.0834996661679515 absolute error 1.851852005074761e-13 relative error 1.7091394329856602e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) -1.0779811166020965 y[1] (numeric) -1.0779811166019138 absolute error 1.8274270985330077e-13 relative error 1.6952310855808302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) -1.0721327674515395 y[1] (numeric) -1.0721327674513585 absolute error 1.8096635301390052e-13 relative error 1.6879099166426717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) -1.0659560807411919 y[1] (numeric) -1.0659560807410136 absolute error 1.7830181775480014e-13 relative error 1.6726938471125513e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) -1.0594526272140703 y[1] (numeric) -1.0594526272138938 absolute error 1.765254609153999e-13 relative error 1.666194942378784e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) -1.0526240859056637 y[1] (numeric) -1.0526240859054894 absolute error 1.7430501486614958e-13 relative error 1.6559094286369087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) -1.0454722436798503 y[1] (numeric) -1.045472243679678 absolute error 1.723066134218243e-13 relative error 1.6481223147095705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) -1.037998994726671 y[1] (numeric) -1.0379989947265014 absolute error 1.6964207816272392e-13 relative error 1.6343183280962097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) -1.0302063400221313 y[1] (numeric) -1.0302063400219643 absolute error 1.6697754290362354e-13 relative error 1.6208164948784578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) -1.0220963867501784 y[1] (numeric) -1.0220963867500146 absolute error 1.638689184346731e-13 relative error 1.6032628679542144e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) -1.0136713476870565 y[1] (numeric) -1.0136713476868948 absolute error 1.616484723854228e-13 relative error 1.5946832546294618e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) -1.004933540548211 y[1] (numeric) -1.0049335405480526 absolute error 1.5831780331154732e-13 relative error 1.5754057051890403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) -0.9958853872979797 y[1] (numeric) -0.9958853872978237 absolute error 1.559863349598345e-13 relative error 1.5663081008051953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) -0.9865294134222606 y[1] (numeric) -0.9865294134221081 absolute error 1.525446435834965e-13 relative error 1.546275676204328e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) -0.9768682471644263 y[1] (numeric) -0.9768682471642767 absolute error 1.496580637194711e-13 relative error 1.5320189201961098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) -0.9669046187247059 y[1] (numeric) -0.9669046187245599 absolute error 1.4599432773820809e-13 relative error 1.5099144725440094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) -0.956641359423323 y[1] (numeric) -0.95664135942318 absolute error 1.4299672557172016e-13 relative error 1.4947788339187074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) -0.9460814008276436 y[1] (numeric) -0.9460814008275046 absolute error 1.389999226830696e-13 relative error 1.4692173692609407e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) -0.9352277738436507 y[1] (numeric) -0.9352277738435151 absolute error 1.3566925360919413e-13 relative error 1.45065466834473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Finished! diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ; Iterations 4900 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.0204081632654%