##############ECHO OF PROBLEM################# ##############temp/diffpostode.ode################# diff ( y , x , 2 ) = diff ( y , x , 1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0) + exp(c(x))) end def exact_soln_yp (x) x = c(x) return(exp(c(x))) end def exact_soln_ypp (x) x = c(x) return(exp(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) 1.0067379469990854 y[1] (numeric) 1.0067379469990854 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] -4.989999999999997 y[1] (closed_form) 1.0068056644922305 y[1] (numeric) 1.00680566449223 absolute error 4.440892098500626e-16 relative error 4.410873175550053e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.979999999999993 y[1] (closed_form) 1.0068740625574963 y[1] (numeric) 1.0068740625574957 absolute error 6.661338147750939e-16 relative error 6.615860310107603e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.96999999999999 y[1] (closed_form) 1.0069431480347462 y[1] (numeric) 1.0069431480347457 absolute error 4.440892098500626e-16 relative error 4.410270934528854e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.959999999999987 y[1] (closed_form) 1.0070129278325854 y[1] (numeric) 1.007012927832585 absolute error 4.440892098500626e-16 relative error 4.409965329897849e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.949999999999983 y[1] (closed_form) 1.0070834089290523 y[1] (numeric) 1.0070834089290512 absolute error 1.1102230246251565e-15 relative error 1.1024141742199729e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.93999999999998 y[1] (closed_form) 1.0071545983723147 y[1] (numeric) 1.0071545983723138 absolute error 8.881784197001252e-16 relative error 8.818690011796903e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.929999999999977 y[1] (closed_form) 1.0072265032813765 y[1] (numeric) 1.0072265032813756 absolute error 8.881784197001252e-16 relative error 8.818060454193645e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.919999999999973 y[1] (closed_form) 1.0072991308467887 y[1] (numeric) 1.007299130846788 absolute error 6.661338147750939e-16 relative error 6.613068495503483e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.90999999999997 y[1] (closed_form) 1.0073724883313682 y[1] (numeric) 1.0073724883313673 absolute error 8.881784197001252e-16 relative error 8.816782570380909e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.899999999999967 y[1] (closed_form) 1.0074465830709245 y[1] (numeric) 1.0074465830709234 absolute error 1.1102230246251565e-15 relative error 1.1020167652372657e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.889999999999963 y[1] (closed_form) 1.0075214224749935 y[1] (numeric) 1.0075214224749922 absolute error 1.3322676295501878e-15 relative error 1.3223218879827386e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.87999999999996 y[1] (closed_form) 1.0075970140275778 y[1] (numeric) 1.0075970140275763 absolute error 1.5543122344752192e-15 relative error 1.5425931328064433e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.869999999999957 y[1] (closed_form) 1.0076733652878958 y[1] (numeric) 1.0076733652878942 absolute error 1.5543122344752192e-15 relative error 1.54247625075527e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.859999999999953 y[1] (closed_form) 1.007750483891137 y[1] (numeric) 1.007750483891135 absolute error 1.9984014443252818e-15 relative error 1.9830319868555483e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.84999999999995 y[1] (closed_form) 1.0078283775492263 y[1] (numeric) 1.0078283775492238 absolute error 2.4424906541753444e-15 relative error 2.4235184368541395e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.839999999999947 y[1] (closed_form) 1.0079070540515938 y[1] (numeric) 1.0079070540515913 absolute error 2.4424906541753444e-15 relative error 2.4233292587416654e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.829999999999943 y[1] (closed_form) 1.007986521265956 y[1] (numeric) 1.0079865212659531 absolute error 2.886579864025407e-15 relative error 2.863708792851791e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.81999999999994 y[1] (closed_form) 1.0080667871391 y[1] (numeric) 1.0080667871390971 absolute error 2.886579864025407e-15 relative error 2.863480774143486e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.8099999999999365 y[1] (closed_form) 1.0081478596976805 y[1] (numeric) 1.0081478596976776 absolute error 2.886579864025407e-15 relative error 2.8632505006666617e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.799999999999933 y[1] (closed_form) 1.0082297470490207 y[1] (numeric) 1.0082297470490174 absolute error 3.3306690738754696e-15 relative error 3.3034822505723297e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.78999999999993 y[1] (closed_form) 1.0083124573819238 y[1] (numeric) 1.0083124573819207 absolute error 3.1086244689504383e-15 relative error 3.0829971862312996e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7799999999999265 y[1] (closed_form) 1.008395998967492 y[1] (numeric) 1.0083959989674889 absolute error 3.1086244689504383e-15 relative error 3.0827417722138863e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.769999999999923 y[1] (closed_form) 1.008480380159954 y[1] (numeric) 1.008480380159951 absolute error 3.1086244689504383e-15 relative error 3.0824838341995137e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.75999999999992 y[1] (closed_form) 1.0085656093974988 y[1] (numeric) 1.0085656093974957 absolute error 3.1086244689504383e-15 relative error 3.082223347678374e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7499999999999165 y[1] (closed_form) 1.0086516952031213 y[1] (numeric) 1.008651695203118 absolute error 3.3306690738754696e-15 relative error 3.302100308476399e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.739999999999913 y[1] (closed_form) 1.0087386461854742 y[1] (numeric) 1.0087386461854702 absolute error 3.9968028886505635e-15 relative error 3.9621788099072017e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.72999999999991 y[1] (closed_form) 1.0088264710397274 y[1] (numeric) 1.0088264710397237 absolute error 3.774758283725532e-15 relative error 3.741731994636452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7199999999999065 y[1] (closed_form) 1.0089151785484405 y[1] (numeric) 1.0089151785484365 absolute error 3.9968028886505635e-15 relative error 3.9614855377643296e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.709999999999903 y[1] (closed_form) 1.0090047775824373 y[1] (numeric) 1.0090047775824333 absolute error 3.9968028886505635e-15 relative error 3.961133760165985e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6999999999999 y[1] (closed_form) 1.0090952771016968 y[1] (numeric) 1.0090952771016926 absolute error 4.218847493575595e-15 relative error 4.1808217611451755e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6899999999998965 y[1] (closed_form) 1.0091866861562455 y[1] (numeric) 1.0091866861562415 absolute error 3.9968028886505635e-15 relative error 3.960419755311522e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.679999999999893 y[1] (closed_form) 1.0092790138870658 y[1] (numeric) 1.0092790138870615 absolute error 4.218847493575595e-15 relative error 4.180060652730135e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.66999999999989 y[1] (closed_form) 1.009372269527007 y[1] (numeric) 1.009372269527003 absolute error 3.9968028886505635e-15 relative error 3.959691591808312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6599999999998865 y[1] (closed_form) 1.0094664624017113 y[1] (numeric) 1.0094664624017071 absolute error 4.218847493575595e-15 relative error 4.179284454421755e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.649999999999883 y[1] (closed_form) 1.0095616019305447 y[1] (numeric) 1.0095616019305402 absolute error 4.440892098500626e-15 relative error 4.3988322158930016e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.63999999999988 y[1] (closed_form) 1.0096576976275389 y[1] (numeric) 1.0096576976275347 absolute error 4.218847493575595e-15 relative error 4.1784928728705847e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.629999999999876 y[1] (closed_form) 1.0097547591023441 y[1] (numeric) 1.0097547591023395 absolute error 4.6629367034256575e-15 relative error 4.617890296026863e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.619999999999873 y[1] (closed_form) 1.0098527960611885 y[1] (numeric) 1.009852796061184 absolute error 4.440892098500626e-15 relative error 4.3975637992208377e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.60999999999987 y[1] (closed_form) 1.0099518183078497 y[1] (numeric) 1.009951818307845 absolute error 4.6629367034256575e-15 relative error 4.616989265129793e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.599999999999866 y[1] (closed_form) 1.0100518357446349 y[1] (numeric) 1.01005183574463 absolute error 4.884981308350689e-15 relative error 4.836366942246445e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.589999999999863 y[1] (closed_form) 1.0101528583733712 y[1] (numeric) 1.010152858373366 absolute error 5.10702591327572e-15 relative error 5.055696146323301e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.57999999999986 y[1] (closed_form) 1.0102548962964055 y[1] (numeric) 1.0102548962964006 absolute error 4.884981308350689e-15 relative error 4.835394835757818e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.569999999999856 y[1] (closed_form) 1.010357959717615 y[1] (numeric) 1.0103579597176102 absolute error 4.884981308350689e-15 relative error 4.834901592417792e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.559999999999853 y[1] (closed_form) 1.0104620589434283 y[1] (numeric) 1.0104620589434234 absolute error 4.884981308350689e-15 relative error 4.83440349403973e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.54999999999985 y[1] (closed_form) 1.0105672043838543 y[1] (numeric) 1.0105672043838487 absolute error 5.551115123125783e-15 relative error 5.49306874302369e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.539999999999846 y[1] (closed_form) 1.0106734065535246 y[1] (numeric) 1.010673406553519 absolute error 5.551115123125783e-15 relative error 5.492491528055062e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.529999999999843 y[1] (closed_form) 1.0107806760727447 y[1] (numeric) 1.0107806760727391 absolute error 5.551115123125783e-15 relative error 5.491908635109557e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.51999999999984 y[1] (closed_form) 1.0108890236685562 y[1] (numeric) 1.0108890236685504 absolute error 5.773159728050814e-15 relative error 5.710972809952757e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.509999999999836 y[1] (closed_form) 1.0109984601758086 y[1] (numeric) 1.0109984601758029 absolute error 5.773159728050814e-15 relative error 5.710354620171117e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.499999999999833 y[1] (closed_form) 1.0111089965382443 y[1] (numeric) 1.0111089965382383 absolute error 5.995204332975845e-15 relative error 5.929335366910744e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.48999999999983 y[1] (closed_form) 1.011220643809591 y[1] (numeric) 1.011220643809585 absolute error 5.995204332975845e-15 relative error 5.928680718374179e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.479999999999826 y[1] (closed_form) 1.0113334131546694 y[1] (numeric) 1.0113334131546632 absolute error 6.217248937900877e-15 relative error 6.147575920098701e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.469999999999823 y[1] (closed_form) 1.0114473158505077 y[1] (numeric) 1.0114473158505013 absolute error 6.439293542825908e-15 relative error 6.366415177454124e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.45999999999982 y[1] (closed_form) 1.0115623632874706 y[1] (numeric) 1.0115623632874642 absolute error 6.439293542825908e-15 relative error 6.365691109640423e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.449999999999816 y[1] (closed_form) 1.0116785669703976 y[1] (numeric) 1.0116785669703912 absolute error 6.439293542825908e-15 relative error 6.364959931996193e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.439999999999813 y[1] (closed_form) 1.0117959385197537 y[1] (numeric) 1.0117959385197475 absolute error 6.217248937900877e-15 relative error 6.144765659957722e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.42999999999981 y[1] (closed_form) 1.0119144896727919 y[1] (numeric) 1.0119144896727854 absolute error 6.439293542825908e-15 relative error 6.36347597405003e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.419999999999806 y[1] (closed_form) 1.012034232284726 y[1] (numeric) 1.0120342322847196 absolute error 6.439293542825908e-15 relative error 6.3627230556113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.409999999999803 y[1] (closed_form) 1.0121551783299174 y[1] (numeric) 1.0121551783299103 absolute error 7.105427357601002e-15 relative error 7.020096828754207e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.3999999999998 y[1] (closed_form) 1.012277339903071 y[1] (numeric) 1.0122773399030638 absolute error 7.105427357601002e-15 relative error 7.019249643858838e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.389999999999796 y[1] (closed_form) 1.012400729220446 y[1] (numeric) 1.0124007292204389 absolute error 7.105427357601002e-15 relative error 7.018394152157732e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.379999999999793 y[1] (closed_form) 1.012525358621077 y[1] (numeric) 1.0125253586210698 absolute error 7.105427357601002e-15 relative error 7.017530274281363e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.36999999999979 y[1] (closed_form) 1.012651240568008 y[1] (numeric) 1.0126512405680006 absolute error 7.327471962526033e-15 relative error 7.235928490460317e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.359999999999786 y[1] (closed_form) 1.0127783876495384 y[1] (numeric) 1.0127783876495307 absolute error 7.771561172376096e-15 relative error 7.673506136334897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.349999999999783 y[1] (closed_form) 1.0129068125804828 y[1] (numeric) 1.0129068125804748 absolute error 7.993605777301127e-15 relative error 7.891748459008393e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.33999999999978 y[1] (closed_form) 1.0130365282034406 y[1] (numeric) 1.0130365282034328 absolute error 7.771561172376096e-15 relative error 7.671550784213569e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.329999999999776 y[1] (closed_form) 1.0131675474900828 y[1] (numeric) 1.013167547490075 absolute error 7.771561172376096e-15 relative error 7.670558726075034e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.319999999999773 y[1] (closed_form) 1.0132998835424467 y[1] (numeric) 1.0132998835424392 absolute error 7.549516567451064e-15 relative error 7.450426759212016e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.30999999999977 y[1] (closed_form) 1.0134335495942484 y[1] (numeric) 1.0134335495942406 absolute error 7.771561172376096e-15 relative error 7.66854538759608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.299999999999766 y[1] (closed_form) 1.013568559012204 y[1] (numeric) 1.0135685590121961 absolute error 7.993605777301127e-15 relative error 7.886596033613626e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.289999999999763 y[1] (closed_form) 1.0137049252973682 y[1] (numeric) 1.0137049252973602 absolute error 7.993605777301127e-15 relative error 7.88553510772005e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2799999999997596 y[1] (closed_form) 1.0138426620864829 y[1] (numeric) 1.0138426620864744 absolute error 8.43769498715119e-15 relative error 8.322489576229173e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.269999999999756 y[1] (closed_form) 1.0139817831533418 y[1] (numeric) 1.0139817831533333 absolute error 8.43769498715119e-15 relative error 8.321347707955006e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.259999999999753 y[1] (closed_form) 1.0141223024101675 y[1] (numeric) 1.014122302410159 absolute error 8.43769498715119e-15 relative error 8.320194681744132e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2499999999997495 y[1] (closed_form) 1.0142642339090029 y[1] (numeric) 1.0142642339089947 absolute error 8.215650382226158e-15 relative error 8.100108539332803e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.239999999999746 y[1] (closed_form) 1.014407591843116 y[1] (numeric) 1.0144075918431077 absolute error 8.215650382226158e-15 relative error 8.098963817195837e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.229999999999743 y[1] (closed_form) 1.01455239054842 y[1] (numeric) 1.0145523905484113 absolute error 8.659739592076221e-15 relative error 8.535527265768077e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2199999999997395 y[1] (closed_form) 1.0146986445049055 y[1] (numeric) 1.0146986445048969 absolute error 8.659739592076221e-15 relative error 8.534296994455437e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.209999999999736 y[1] (closed_form) 1.0148463683380908 y[1] (numeric) 1.0148463683380824 absolute error 8.43769498715119e-15 relative error 8.31425844383592e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.199999999999733 y[1] (closed_form) 1.0149955768204817 y[1] (numeric) 1.0149955768204733 absolute error 8.43769498715119e-15 relative error 8.313036213992815e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1899999999997295 y[1] (closed_form) 1.015146284873051 y[1] (numeric) 1.0151462848730426 absolute error 8.43769498715119e-15 relative error 8.311802065262313e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.179999999999726 y[1] (closed_form) 1.0152985075667298 y[1] (numeric) 1.0152985075667214 absolute error 8.43769498715119e-15 relative error 8.31055588505987e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.169999999999723 y[1] (closed_form) 1.0154522601239138 y[1] (numeric) 1.015452260123905 absolute error 8.659739592076221e-15 relative error 8.527963285068162e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1599999999997195 y[1] (closed_form) 1.0156075579199872 y[1] (numeric) 1.0156075579199786 absolute error 8.659739592076221e-15 relative error 8.526659263753198e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.149999999999716 y[1] (closed_form) 1.015764416484859 y[1] (numeric) 1.0157644164848507 absolute error 8.215650382226158e-15 relative error 8.088145488160661e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.139999999999713 y[1] (closed_form) 1.0159228515045162 y[1] (numeric) 1.0159228515045078 absolute error 8.43769498715119e-15 relative error 8.305448563004078e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1299999999997095 y[1] (closed_form) 1.016082878822593 y[1] (numeric) 1.0160828788225846 absolute error 8.43769498715119e-15 relative error 8.304140501735983e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.119999999999706 y[1] (closed_form) 1.0162445144419547 y[1] (numeric) 1.016244514441946 absolute error 8.659739592076221e-15 relative error 8.521314968013875e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.109999999999703 y[1] (closed_form) 1.0164077745262976 y[1] (numeric) 1.0164077745262887 absolute error 8.881784197001252e-15 relative error 8.738406395150466e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.099999999999699 y[1] (closed_form) 1.0165726754017663 y[1] (numeric) 1.0165726754017574 absolute error 8.881784197001252e-15 relative error 8.736988915712322e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.089999999999696 y[1] (closed_form) 1.0167392335585856 y[1] (numeric) 1.0167392335585772 absolute error 8.43769498715119e-15 relative error 8.298779774258609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.079999999999693 y[1] (closed_form) 1.0169074656527104 y[1] (numeric) 1.0169074656527017 absolute error 8.659739592076221e-15 relative error 8.515759677816798e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.069999999999689 y[1] (closed_form) 1.0170773885074902 y[1] (numeric) 1.0170773885074815 absolute error 8.659739592076221e-15 relative error 8.514336952062175e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.059999999999686 y[1] (closed_form) 1.0172490191153516 y[1] (numeric) 1.017249019115343 absolute error 8.659739592076221e-15 relative error 8.512900410174044e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.049999999999683 y[1] (closed_form) 1.017422374639499 y[1] (numeric) 1.0174223746394904 absolute error 8.659739592076221e-15 relative error 8.511449922795936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.039999999999679 y[1] (closed_form) 1.0175974724156291 y[1] (numeric) 1.01759747241562 absolute error 9.103828801926284e-15 relative error 8.946394865068907e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.029999999999676 y[1] (closed_form) 1.0177743299536652 y[1] (numeric) 1.0177743299536561 absolute error 9.103828801926284e-15 relative error 8.944840259766368e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.019999999999673 y[1] (closed_form) 1.0179529649395087 y[1] (numeric) 1.0179529649394996 absolute error 9.103828801926284e-15 relative error 8.943270578780891e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.009999999999669 y[1] (closed_form) 1.018133395236807 y[1] (numeric) 1.0181333952367981 absolute error 8.881784197001252e-15 relative error 8.723595786714612e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9999999999996665 y[1] (closed_form) 1.0183156388887402 y[1] (numeric) 1.0183156388887311 absolute error 9.103828801926284e-15 relative error 8.940085425635848e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9899999999996676 y[1] (closed_form) 1.0184997141198253 y[1] (numeric) 1.0184997141198167 absolute error 8.659739592076221e-15 relative error 8.502446757739014e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9799999999996687 y[1] (closed_form) 1.018685639337739 y[1] (numeric) 1.0186856393377302 absolute error 8.881784197001252e-15 relative error 8.718866600274661e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.96999999999967 y[1] (closed_form) 1.0188734331351577 y[1] (numeric) 1.018873433135149 absolute error 8.659739592076221e-15 relative error 8.499328091644796e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.959999999999671 y[1] (closed_form) 1.019063114291618 y[1] (numeric) 1.019063114291609 absolute error 9.103828801926284e-15 relative error 8.933527937820254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.949999999999672 y[1] (closed_form) 1.0192547017753932 y[1] (numeric) 1.0192547017753844 absolute error 8.881784197001252e-15 relative error 8.713998749802652e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.939999999999673 y[1] (closed_form) 1.0194482147453918 y[1] (numeric) 1.019448214745383 absolute error 8.881784197001252e-15 relative error 8.712344647363463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.929999999999674 y[1] (closed_form) 1.0196436725530718 y[1] (numeric) 1.0196436725530629 absolute error 8.881784197001252e-15 relative error 8.710674558262373e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9199999999996753 y[1] (closed_form) 1.0198410947443768 y[1] (numeric) 1.019841094744368 absolute error 8.881784197001252e-15 relative error 8.708988334332097e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9099999999996764 y[1] (closed_form) 1.0200405010616904 y[1] (numeric) 1.0200405010616815 absolute error 8.881784197001252e-15 relative error 8.707285826157697e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8999999999996775 y[1] (closed_form) 1.020241911445811 y[1] (numeric) 1.020241911445802 absolute error 9.103828801926284e-15 relative error 8.923206055145307e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8899999999996786 y[1] (closed_form) 1.0204453460379441 y[1] (numeric) 1.0204453460379352 absolute error 8.881784197001252e-15 relative error 8.70383135313059e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8799999999996797 y[1] (closed_form) 1.0206508251817192 y[1] (numeric) 1.0206508251817104 absolute error 8.881784197001252e-15 relative error 8.702079083137876e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.869999999999681 y[1] (closed_form) 1.0208583694252213 y[1] (numeric) 1.0208583694252125 absolute error 8.881784197001252e-15 relative error 8.700309918605071e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.859999999999682 y[1] (closed_form) 1.021067999523048 y[1] (numeric) 1.0210679995230394 absolute error 8.659739592076221e-15 relative error 8.48106061116525e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.849999999999683 y[1] (closed_form) 1.0212797364383839 y[1] (numeric) 1.0212797364383746 absolute error 9.325873406851315e-15 relative error 9.131556295608502e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.839999999999684 y[1] (closed_form) 1.0214936013450968 y[1] (numeric) 1.0214936013450873 absolute error 9.547918011776346e-15 relative error 9.347016955567517e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.829999999999685 y[1] (closed_form) 1.0217096156298555 y[1] (numeric) 1.0217096156298457 absolute error 9.769962616701378e-15 relative error 9.562367298147105e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8199999999996863 y[1] (closed_form) 1.0219278008942685 y[1] (numeric) 1.0219278008942585 absolute error 9.992007221626409e-15 relative error 9.77760582781152e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8099999999996874 y[1] (closed_form) 1.0221481789570444 y[1] (numeric) 1.0221481789570344 absolute error 9.992007221626409e-15 relative error 9.775497748107149e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7999999999996885 y[1] (closed_form) 1.0223707718561725 y[1] (numeric) 1.0223707718561628 absolute error 9.769962616701378e-15 relative error 9.556183417649404e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7899999999996896 y[1] (closed_form) 1.0225956018511289 y[1] (numeric) 1.0225956018511189 absolute error 9.992007221626409e-15 relative error 9.771220611098484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7799999999996907 y[1] (closed_form) 1.0228226914251 y[1] (numeric) 1.0228226914250897 absolute error 1.021405182655144e-14 relative error 9.986141207250879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -3.769999999999692 y[1] (closed_form) 1.0230520632872326 y[1] (numeric) 1.0230520632872222 absolute error 1.0436096431476471e-14 relative error 1.0200943633253225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.759999999999693 y[1] (closed_form) 1.0232837403749042 y[1] (numeric) 1.0232837403748933 absolute error 1.0880185641326534e-14 relative error 1.0632618512378904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.749999999999694 y[1] (closed_form) 1.0235177458560163 y[1] (numeric) 1.0235177458560054 absolute error 1.0880185641326534e-14 relative error 1.0630187591155951e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.739999999999695 y[1] (closed_form) 1.0237541031313122 y[1] (numeric) 1.023754103131301 absolute error 1.1102230246251565e-14 relative error 1.0844625884569014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7299999999996962 y[1] (closed_form) 1.0239928358367165 y[1] (numeric) 1.023992835836705 absolute error 1.1546319456101628e-14 relative error 1.1275781482071596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7199999999996973 y[1] (closed_form) 1.0242339678456984 y[1] (numeric) 1.024233967845687 absolute error 1.1324274851176597e-14 relative error 1.105633596100633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7099999999996984 y[1] (closed_form) 1.02447752327166 y[1] (numeric) 1.0244775232716488 absolute error 1.1324274851176597e-14 relative error 1.1053707469357282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6999999999996995 y[1] (closed_form) 1.024723526470347 y[1] (numeric) 1.0247235264703358 absolute error 1.1102230246251565e-14 relative error 1.083436649931628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6899999999997006 y[1] (closed_form) 1.0249720020422837 y[1] (numeric) 1.0249720020422726 absolute error 1.1102230246251565e-14 relative error 1.0831740012537005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6799999999997017 y[1] (closed_form) 1.0252229748352348 y[1] (numeric) 1.0252229748352235 absolute error 1.1324274851176597e-14 relative error 1.10456701899375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.669999999999703 y[1] (closed_form) 1.0254764699466885 y[1] (numeric) 1.0254764699466774 absolute error 1.1102230246251565e-14 relative error 1.0826411499065148e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.659999999999704 y[1] (closed_form) 1.0257325127263677 y[1] (numeric) 1.0257325127263561 absolute error 1.1546319456101628e-14 relative error 1.1256657376894334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.649999999999705 y[1] (closed_form) 1.025991128778763 y[1] (numeric) 1.0259911287787513 absolute error 1.176836406102666e-14 relative error 1.1470239586802802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.639999999999706 y[1] (closed_form) 1.0262523439656956 y[1] (numeric) 1.026252343965684 absolute error 1.1546319456101628e-14 relative error 1.1250955502312192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6299999999997072 y[1] (closed_form) 1.026516184408902 y[1] (numeric) 1.0265161844088901 absolute error 1.176836406102666e-14 relative error 1.146437264192111e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6199999999997083 y[1] (closed_form) 1.026782676492646 y[1] (numeric) 1.0267826764926342 absolute error 1.176836406102666e-14 relative error 1.146139716850876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6099999999997094 y[1] (closed_form) 1.0270518468663583 y[1] (numeric) 1.0270518468663463 absolute error 1.199040866595169e-14 relative error 1.1674589459661331e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5999999999997105 y[1] (closed_form) 1.0273237224473004 y[1] (numeric) 1.0273237224472884 absolute error 1.199040866595169e-14 relative error 1.1671499843679288e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5899999999997116 y[1] (closed_form) 1.0275983304232572 y[1] (numeric) 1.0275983304232452 absolute error 1.199040866595169e-14 relative error 1.1668380836131724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5799999999997127 y[1] (closed_form) 1.027875698255255 y[1] (numeric) 1.027875698255243 absolute error 1.199040866595169e-14 relative error 1.166523217379742e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.569999999999714 y[1] (closed_form) 1.0281558536803082 y[1] (numeric) 1.0281558536802962 absolute error 1.199040866595169e-14 relative error 1.1662053591419764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.559999999999715 y[1] (closed_form) 1.0284388247141927 y[1] (numeric) 1.0284388247141805 absolute error 1.2212453270876722e-14 relative error 1.1874749355432602e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.549999999999716 y[1] (closed_form) 1.0287246396542475 y[1] (numeric) 1.0287246396542353 absolute error 1.2212453270876722e-14 relative error 1.187145014333603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.539999999999717 y[1] (closed_form) 1.0290133270822053 y[1] (numeric) 1.029013327082193 absolute error 1.2212453270876722e-14 relative error 1.1868119634082348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5299999999997183 y[1] (closed_form) 1.029304915867049 y[1] (numeric) 1.0293049158670369 absolute error 1.2212453270876722e-14 relative error 1.1864757549116914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5199999999997194 y[1] (closed_form) 1.0295994351679003 y[1] (numeric) 1.0295994351678885 absolute error 1.176836406102666e-14 relative error 1.1430041294756102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5099999999997205 y[1] (closed_form) 1.0298969144369348 y[1] (numeric) 1.0298969144369228 absolute error 1.199040866595169e-14 relative error 1.1642338663095312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4999999999997216 y[1] (closed_form) 1.0301973834223268 y[1] (numeric) 1.0301973834223146 absolute error 1.2212453270876722e-14 relative error 1.185447902256053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4899999999997227 y[1] (closed_form) 1.0305008721712259 y[1] (numeric) 1.0305008721712139 absolute error 1.199040866595169e-14 relative error 1.1635515301106305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4799999999997238 y[1] (closed_form) 1.0308074110327596 y[1] (numeric) 1.0308074110327474 absolute error 1.2212453270876722e-14 relative error 1.184746359035306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.469999999999725 y[1] (closed_form) 1.0311170306610695 y[1] (numeric) 1.0311170306610573 absolute error 1.2212453270876722e-14 relative error 1.184390608217098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.459999999999726 y[1] (closed_form) 1.0314297620183763 y[1] (numeric) 1.031429762018364 absolute error 1.2434497875801753e-14 relative error 1.2055593442901075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.449999999999727 y[1] (closed_form) 1.0317456363780766 y[1] (numeric) 1.0317456363780644 absolute error 1.2212453270876722e-14 relative error 1.1836690013779274e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.439999999999728 y[1] (closed_form) 1.0320646853278694 y[1] (numeric) 1.032064685327857 absolute error 1.2434497875801753e-14 relative error 1.2048176875513888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4299999999997293 y[1] (closed_form) 1.0323869407729158 y[1] (numeric) 1.0323869407729034 absolute error 1.2434497875801753e-14 relative error 1.2044416085399562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4199999999997304 y[1] (closed_form) 1.0327124349390286 y[1] (numeric) 1.0327124349390162 absolute error 1.2434497875801753e-14 relative error 1.2040619881308863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4099999999997315 y[1] (closed_form) 1.0330412003758958 y[1] (numeric) 1.033041200375883 absolute error 1.2656542480726785e-14 relative error 1.2251730595179952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3999999999997326 y[1] (closed_form) 1.033373269960335 y[1] (numeric) 1.033373269960322 absolute error 1.3100631690576847e-14 relative error 1.267754070228631e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3899999999997337 y[1] (closed_form) 1.0337086768995813 y[1] (numeric) 1.0337086768995682 absolute error 1.3100631690576847e-14 relative error 1.2673427226972474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3799999999997348 y[1] (closed_form) 1.0340474547346084 y[1] (numeric) 1.0340474547345953 absolute error 1.3100631690576847e-14 relative error 1.266927511942783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.369999999999736 y[1] (closed_form) 1.0343896373434818 y[1] (numeric) 1.0343896373434687 absolute error 1.3100631690576847e-14 relative error 1.2665084043399617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.359999999999737 y[1] (closed_form) 1.0347352589447476 y[1] (numeric) 1.0347352589447345 absolute error 1.3100631690576847e-14 relative error 1.2660853660227296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.349999999999738 y[1] (closed_form) 1.0350843541008543 y[1] (numeric) 1.0350843541008412 absolute error 1.3100631690576847e-14 relative error 1.26565836288357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.339999999999739 y[1] (closed_form) 1.0354369577216078 y[1] (numeric) 1.035436957721595 absolute error 1.2878587085651816e-14 relative error 1.2437828290377105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3299999999997403 y[1] (closed_form) 1.0357931050676645 y[1] (numeric) 1.0357931050676519 absolute error 1.2656542480726785e-14 relative error 1.221918008413464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3199999999997414 y[1] (closed_form) 1.0361528317540558 y[1] (numeric) 1.036152831754043 absolute error 1.2878587085651816e-14 relative error 1.2429235042334675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3099999999997425 y[1] (closed_form) 1.0365161737537498 y[1] (numeric) 1.0365161737537367 absolute error 1.3100631690576847e-14 relative error 1.2639100114697514e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2999999999997436 y[1] (closed_form) 1.0368831674012495 y[1] (numeric) 1.0368831674012364 absolute error 1.3100631690576847e-14 relative error 1.2634626641120127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2899999999997447 y[1] (closed_form) 1.0372538493962253 y[1] (numeric) 1.0372538493962122 absolute error 1.3100631690576847e-14 relative error 1.263011142181115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.279999999999746 y[1] (closed_form) 1.0376282568071857 y[1] (numeric) 1.0376282568071729 absolute error 1.2878587085651816e-14 relative error 1.2411561656271415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.269999999999747 y[1] (closed_form) 1.0380064270751839 y[1] (numeric) 1.0380064270751714 absolute error 1.2434497875801753e-14 relative error 1.1979210871399652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.259999999999748 y[1] (closed_form) 1.0383883980175617 y[1] (numeric) 1.0383883980175492 absolute error 1.2434497875801753e-14 relative error 1.1974804321332042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.249999999999749 y[1] (closed_form) 1.0387742078317317 y[1] (numeric) 1.0387742078317193 absolute error 1.2434497875801753e-14 relative error 1.1970356774410773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.23999999999975 y[1] (closed_form) 1.0391638950989968 y[1] (numeric) 1.0391638950989845 absolute error 1.2212453270876722e-14 relative error 1.1752191669162343e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2299999999997513 y[1] (closed_form) 1.0395574987884086 y[1] (numeric) 1.0395574987883964 absolute error 1.2212453270876722e-14 relative error 1.1747741981670264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2199999999997524 y[1] (closed_form) 1.0399550582606638 y[1] (numeric) 1.0399550582606516 absolute error 1.2212453270876722e-14 relative error 1.1743250993270982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2099999999997535 y[1] (closed_form) 1.0403566132720412 y[1] (numeric) 1.040356613272029 absolute error 1.2212453270876722e-14 relative error 1.173871835395668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1999999999997546 y[1] (closed_form) 1.0407622039783762 y[1] (numeric) 1.040762203978364 absolute error 1.2212453270876722e-14 relative error 1.1734143711401015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1899999999997557 y[1] (closed_form) 1.0411718709390778 y[1] (numeric) 1.0411718709390656 absolute error 1.2212453270876722e-14 relative error 1.1729526710956745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.179999999999757 y[1] (closed_form) 1.0415856551211833 y[1] (numeric) 1.041585655121171 absolute error 1.2212453270876722e-14 relative error 1.1724866995653722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.169999999999758 y[1] (closed_form) 1.0420035979034556 y[1] (numeric) 1.0420035979034432 absolute error 1.2434497875801753e-14 relative error 1.1933258100855274e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.159999999999759 y[1] (closed_form) 1.0424257410805216 y[1] (numeric) 1.0424257410805091 absolute error 1.2434497875801753e-14 relative error 1.1928425580620095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.14999999999976 y[1] (closed_form) 1.0428521268670505 y[1] (numeric) 1.042852126867038 absolute error 1.2434497875801753e-14 relative error 1.1923548464303974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.139999999999761 y[1] (closed_form) 1.0432827979019763 y[1] (numeric) 1.043282797901964 absolute error 1.2212453270876722e-14 relative error 1.1705793765061356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1299999999997623 y[1] (closed_form) 1.0437177972527614 y[1] (numeric) 1.0437177972527494 absolute error 1.199040866595169e-14 relative error 1.1488171129698504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1199999999997634 y[1] (closed_form) 1.0441571684197033 y[1] (numeric) 1.0441571684196909 absolute error 1.2434497875801753e-14 relative error 1.1908645797663725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1099999999997645 y[1] (closed_form) 1.044600955340285 y[1] (numeric) 1.0446009553402729 absolute error 1.2212453270876722e-14 relative error 1.1691022498537197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0999999999997656 y[1] (closed_form) 1.0450492023935685 y[1] (numeric) 1.0450492023935565 absolute error 1.199040866595169e-14 relative error 1.1473535062740585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0899999999997667 y[1] (closed_form) 1.0455019544046322 y[1] (numeric) 1.0455019544046205 absolute error 1.176836406102666e-14 relative error 1.1256185616341798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.079999999999768 y[1] (closed_form) 1.045959256649055 y[1] (numeric) 1.045959256649043 absolute error 1.199040866595169e-14 relative error 1.1463552322645363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.069999999999769 y[1] (closed_form) 1.046421154857442 y[1] (numeric) 1.04642115485743 absolute error 1.199040866595169e-14 relative error 1.1458492223989097e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.05999999999977 y[1] (closed_form) 1.0468876952199992 y[1] (numeric) 1.046887695219987 absolute error 1.2212453270876722e-14 relative error 1.1665485540271178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.049999999999771 y[1] (closed_form) 1.0473589243911519 y[1] (numeric) 1.0473589243911392 absolute error 1.2656542480726785e-14 relative error 1.2084245606714294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.039999999999772 y[1] (closed_form) 1.0478348894942093 y[1] (numeric) 1.0478348894941965 absolute error 1.2878587085651816e-14 relative error 1.2290664507142265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0299999999997733 y[1] (closed_form) 1.0483156381260788 y[1] (numeric) 1.0483156381260654 absolute error 1.3322676295501878e-14 relative error 1.2708649772044694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0199999999997744 y[1] (closed_form) 1.048801218362024 y[1] (numeric) 1.0488012183620106 absolute error 1.3322676295501878e-14 relative error 1.2702765845665879e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0099999999997755 y[1] (closed_form) 1.0492916787604731 y[1] (numeric) 1.0492916787604598 absolute error 1.3322676295501878e-14 relative error 1.2696828313019635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9999999999997766 y[1] (closed_form) 1.0497870683678752 y[1] (numeric) 1.0497870683678616 absolute error 1.354472090042691e-14 relative error 1.2902350684777588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9899999999997777 y[1] (closed_form) 1.050287436723603 y[1] (numeric) 1.0502874367235897 absolute error 1.3322676295501878e-14 relative error 1.2684790686502247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.979999999999779 y[1] (closed_form) 1.0507928338649097 y[1] (numeric) 1.0507928338648964 absolute error 1.3322676295501878e-14 relative error 1.267868971517429e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.96999999999978 y[1] (closed_form) 1.0513033103319305 y[1] (numeric) 1.0513033103319172 absolute error 1.3322676295501878e-14 relative error 1.267253338267857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.959999999999781 y[1] (closed_form) 1.0518189171727372 y[1] (numeric) 1.0518189171727237 absolute error 1.354472090042691e-14 relative error 1.2877426598139895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.949999999999782 y[1] (closed_form) 1.0523397059484438 y[1] (numeric) 1.0523397059484303 absolute error 1.354472090042691e-14 relative error 1.2871053732805263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9399999999997832 y[1] (closed_form) 1.0528657287383618 y[1] (numeric) 1.0528657287383485 absolute error 1.3322676295501878e-14 relative error 1.2653727756402809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9299999999997843 y[1] (closed_form) 1.0533970381452087 y[1] (numeric) 1.0533970381451954 absolute error 1.3322676295501878e-14 relative error 1.2647345505128877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9199999999997854 y[1] (closed_form) 1.0539336873003675 y[1] (numeric) 1.0539336873003542 absolute error 1.3322676295501878e-14 relative error 1.26409056433405e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9099999999997865 y[1] (closed_form) 1.0544757298692016 y[1] (numeric) 1.054475729869188 absolute error 1.354472090042691e-14 relative error 1.2844981175723232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8999999999997876 y[1] (closed_form) 1.055023220056419 y[1] (numeric) 1.0550232200564054 absolute error 1.354472090042691e-14 relative error 1.2838315444566789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8899999999997887 y[1] (closed_form) 1.055576212611495 y[1] (numeric) 1.0555762126114814 absolute error 1.354472090042691e-14 relative error 1.2831589740846166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.87999999999979 y[1] (closed_form) 1.0561347628341455 y[1] (numeric) 1.056134762834132 absolute error 1.354472090042691e-14 relative error 1.2824803592374472e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.869999999999791 y[1] (closed_form) 1.0566989265798588 y[1] (numeric) 1.0566989265798454 absolute error 1.3322676295501878e-14 relative error 1.2607826089709794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.859999999999792 y[1] (closed_form) 1.0572687602654793 y[1] (numeric) 1.0572687602654658 absolute error 1.354472090042691e-14 relative error 1.2811048060311403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.849999999999793 y[1] (closed_form) 1.0578443208748505 y[1] (numeric) 1.057844320874837 absolute error 1.354472090042691e-14 relative error 1.2804077720269139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8399999999997942 y[1] (closed_form) 1.0584256659645128 y[1] (numeric) 1.058425665964499 absolute error 1.3766765505351941e-14 relative error 1.3006832645924817e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8299999999997953 y[1] (closed_form) 1.0590128536694599 y[1] (numeric) 1.059012853669446 absolute error 1.3766765505351941e-14 relative error 1.2999620786140937e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8199999999997964 y[1] (closed_form) 1.0596059427089515 y[1] (numeric) 1.0596059427089375 absolute error 1.3988810110276972e-14 relative error 1.3201898504375759e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8099999999997975 y[1] (closed_form) 1.0602049923923857 y[1] (numeric) 1.0602049923923713 absolute error 1.4432899320127035e-14 relative error 1.3613310089739104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7999999999997986 y[1] (closed_form) 1.0608100626252301 y[1] (numeric) 1.0608100626252155 absolute error 1.4654943925052066e-14 relative error 1.3814861341704165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7899999999997998 y[1] (closed_form) 1.0614212139150125 y[1] (numeric) 1.0614212139149979 absolute error 1.4654943925052066e-14 relative error 1.3806906940363338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.779999999999801 y[1] (closed_form) 1.0620385073773706 y[1] (numeric) 1.062038507377356 absolute error 1.4654943925052066e-14 relative error 1.379888188917125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.769999999999802 y[1] (closed_form) 1.0626620047421655 y[1] (numeric) 1.0626620047421511 absolute error 1.4432899320127035e-14 relative error 1.3581834351580961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.759999999999803 y[1] (closed_form) 1.0632917683596532 y[1] (numeric) 1.0632917683596388 absolute error 1.4432899320127035e-14 relative error 1.3573790138893634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.749999999999804 y[1] (closed_form) 1.06392786120672 y[1] (numeric) 1.0639278612067056 absolute error 1.4432899320127035e-14 relative error 1.356567474768173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7399999999998053 y[1] (closed_form) 1.064570346893181 y[1] (numeric) 1.0645703468931664 absolute error 1.4654943925052066e-14 relative error 1.3766064373125492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7299999999998064 y[1] (closed_form) 1.06521928966814 y[1] (numeric) 1.0652192896681254 absolute error 1.4654943925052066e-14 relative error 1.3757677942180045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7199999999998075 y[1] (closed_form) 1.0658747544264155 y[1] (numeric) 1.065874754426401 absolute error 1.4654943925052066e-14 relative error 1.3749217592585166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7099999999998086 y[1] (closed_form) 1.0665368067150296 y[1] (numeric) 1.066536806715015 absolute error 1.4654943925052066e-14 relative error 1.3740682771361453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6999999999998097 y[1] (closed_form) 1.0672055127397626 y[1] (numeric) 1.0672055127397477 absolute error 1.4876988529977098e-14 relative error 1.394013463422283e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6899999999998108 y[1] (closed_form) 1.0678809393717743 y[1] (numeric) 1.0678809393717594 absolute error 1.4876988529977098e-14 relative error 1.393131760431e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.679999999999812 y[1] (closed_form) 1.0685631541542908 y[1] (numeric) 1.068563154154276 absolute error 1.4876988529977098e-14 relative error 1.3922423276658289e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.669999999999813 y[1] (closed_form) 1.069252225309359 y[1] (numeric) 1.0692522253093442 absolute error 1.4876988529977098e-14 relative error 1.3913451080892392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.659999999999814 y[1] (closed_form) 1.0699482217446683 y[1] (numeric) 1.0699482217446536 absolute error 1.4654943925052066e-14 relative error 1.3696872079618551e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.649999999999815 y[1] (closed_form) 1.0706512130604426 y[1] (numeric) 1.0706512130604278 absolute error 1.4876988529977098e-14 relative error 1.3895270792671517e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6399999999998163 y[1] (closed_form) 1.0713612695563992 y[1] (numeric) 1.0713612695563843 absolute error 1.4876988529977098e-14 relative error 1.3886061548721997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6299999999998174 y[1] (closed_form) 1.0720784622387793 y[1] (numeric) 1.0720784622387647 absolute error 1.4654943925052066e-14 relative error 1.3669656131743122e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6199999999998185 y[1] (closed_form) 1.0728028628274489 y[1] (numeric) 1.0728028628274342 absolute error 1.4654943925052066e-14 relative error 1.3660425818055622e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6099999999998196 y[1] (closed_form) 1.0735345437630703 y[1] (numeric) 1.073534543763056 absolute error 1.4432899320127035e-14 relative error 1.3444280301903712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5999999999998207 y[1] (closed_form) 1.074273578214347 y[1] (numeric) 1.074273578214333 absolute error 1.4210854715202004e-14 relative error 1.3228338668463972e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.589999999999822 y[1] (closed_form) 1.0750200400853402 y[1] (numeric) 1.075020040085326 absolute error 1.4210854715202004e-14 relative error 1.3219153304410844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.579999999999823 y[1] (closed_form) 1.075774004022859 y[1] (numeric) 1.0757740040228445 absolute error 1.4432899320127035e-14 relative error 1.3416293074711957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.569999999999824 y[1] (closed_form) 1.076535545423925 y[1] (numeric) 1.0765355454239103 absolute error 1.4654943925052066e-14 relative error 1.3613060885306068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.559999999999825 y[1] (closed_form) 1.0773047404433134 y[1] (numeric) 1.0773047404432985 absolute error 1.4876988529977098e-14 relative error 1.3809452396779748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.549999999999826 y[1] (closed_form) 1.0780816660011667 y[1] (numeric) 1.0780816660011519 absolute error 1.4876988529977098e-14 relative error 1.379950053798707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5399999999998273 y[1] (closed_form) 1.0788663997906887 y[1] (numeric) 1.0788663997906736 absolute error 1.509903313490213e-14 relative error 1.3995276095197236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5299999999998284 y[1] (closed_form) 1.0796590202859118 y[1] (numeric) 1.0796590202858964 absolute error 1.532107773982716e-14 relative error 1.4190663396458154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5199999999998295 y[1] (closed_form) 1.0804596067495462 y[1] (numeric) 1.080459606749531 absolute error 1.532107773982716e-14 relative error 1.4180148562813078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5099999999998306 y[1] (closed_form) 1.0812682392409054 y[1] (numeric) 1.0812682392408903 absolute error 1.509903313490213e-14 relative error 1.396418815140845e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4999999999998317 y[1] (closed_form) 1.0820849986239125 y[1] (numeric) 1.0820849986238976 absolute error 1.4876988529977098e-14 relative error 1.3748447255895945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.489999999999833 y[1] (closed_form) 1.0829099665751865 y[1] (numeric) 1.0829099665751714 absolute error 1.509903313490213e-14 relative error 1.3943017980206023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.479999999999834 y[1] (closed_form) 1.08374322559221 y[1] (numeric) 1.0837432255921944 absolute error 1.554312234475219e-14 relative error 1.434207105309348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.469999999999835 y[1] (closed_form) 1.0845848590015787 y[1] (numeric) 1.084584859001563 absolute error 1.5765166949677223e-14 relative error 1.4535669402751892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.459999999999836 y[1] (closed_form) 1.0854349509673353 y[1] (numeric) 1.0854349509673196 absolute error 1.5765166949677223e-14 relative error 1.452428534351816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.449999999999837 y[1] (closed_form) 1.0862935864993846 y[1] (numeric) 1.0862935864993688 absolute error 1.5765166949677223e-14 relative error 1.4512804959551471e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4399999999998383 y[1] (closed_form) 1.0871608514619955 y[1] (numeric) 1.0871608514619797 absolute error 1.5765166949677223e-14 relative error 1.4501227604430838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4299999999998394 y[1] (closed_form) 1.0880368325823868 y[1] (numeric) 1.088036832582371 absolute error 1.5765166949677223e-14 relative error 1.4489552630547987e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4199999999998405 y[1] (closed_form) 1.0889216174594005 y[1] (numeric) 1.0889216174593848 absolute error 1.5765166949677223e-14 relative error 1.4477779389171704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4099999999998416 y[1] (closed_form) 1.089815294572262 y[1] (numeric) 1.089815294572246 absolute error 1.5987211554602254e-14 relative error 1.4669652402774383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3999999999998427 y[1] (closed_form) 1.0907179532894267 y[1] (numeric) 1.0907179532894111 absolute error 1.554312234475219e-14 relative error 1.425035894740403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.389999999999844 y[1] (closed_form) 1.0916296838775192 y[1] (numeric) 1.0916296838775037 absolute error 1.554312234475219e-14 relative error 1.4238457028341609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.379999999999845 y[1] (closed_form) 1.0925505775103577 y[1] (numeric) 1.0925505775103423 absolute error 1.532107773982716e-14 relative error 1.4023220576881634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.369999999999846 y[1] (closed_form) 1.0934807262780728 y[1] (numeric) 1.093480726278058 absolute error 1.4876988529977098e-14 relative error 1.360516758316769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.359999999999847 y[1] (closed_form) 1.0944202231963167 y[1] (numeric) 1.0944202231963016 absolute error 1.509903313490213e-14 relative error 1.379637621352111e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.349999999999848 y[1] (closed_form) 1.0953691622155641 y[1] (numeric) 1.095369162215549 absolute error 1.509903313490213e-14 relative error 1.3784424151910442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3399999999998493 y[1] (closed_form) 1.0963276382305076 y[1] (numeric) 1.096327638230492 absolute error 1.554312234475219e-14 relative error 1.4177442766871288e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3299999999998504 y[1] (closed_form) 1.0972957470895472 y[1] (numeric) 1.0972957470895317 absolute error 1.554312234475219e-14 relative error 1.4164934463638052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3199999999998515 y[1] (closed_form) 1.0982735856043762 y[1] (numeric) 1.0982735856043602 absolute error 1.5987211554602254e-14 relative error 1.4556674916118051e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3099999999998526 y[1] (closed_form) 1.0992612515596603 y[1] (numeric) 1.099261251559644 absolute error 1.6209256159527285e-14 relative error 1.47455904013074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2999999999998537 y[1] (closed_form) 1.1002588437228185 y[1] (numeric) 1.100258843722802 absolute error 1.6431300764452317e-14 relative error 1.4934031985469552e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.289999999999855 y[1] (closed_form) 1.101266461853898 y[1] (numeric) 1.1012664618538817 absolute error 1.6431300764452317e-14 relative error 1.4920367897875938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.279999999999856 y[1] (closed_form) 1.1022842067155523 y[1] (numeric) 1.1022842067155356 absolute error 1.6653345369377348e-14 relative error 1.5108032273272688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.269999999999857 y[1] (closed_form) 1.103312180083115 y[1] (numeric) 1.1033121800830985 absolute error 1.6431300764452317e-14 relative error 1.4892703136128263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.259999999999858 y[1] (closed_form) 1.1043504847547798 y[1] (numeric) 1.1043504847547634 absolute error 1.6431300764452317e-14 relative error 1.4878701092887983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2499999999998592 y[1] (closed_form) 1.1053992245618791 y[1] (numeric) 1.1053992245618627 absolute error 1.6431300764452317e-14 relative error 1.486458502896526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2399999999998603 y[1] (closed_form) 1.1064585043792676 y[1] (numeric) 1.1064585043792512 absolute error 1.6431300764452317e-14 relative error 1.4850354260389018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2299999999998614 y[1] (closed_form) 1.10752843013581 y[1] (numeric) 1.1075284301357935 absolute error 1.6431300764452317e-14 relative error 1.483600810359102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2199999999998625 y[1] (closed_form) 1.108609108824973 y[1] (numeric) 1.1086091088249566 absolute error 1.6431300764452317e-14 relative error 1.482154587550524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2099999999998636 y[1] (closed_form) 1.1097006485155263 y[1] (numeric) 1.1097006485155105 absolute error 1.5765166949677223e-14 relative error 1.4206684452033684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1999999999998647 y[1] (closed_form) 1.1108031583623488 y[1] (numeric) 1.1108031583623332 absolute error 1.554312234475219e-14 relative error 1.3992688288415866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.189999999999866 y[1] (closed_form) 1.1119167486173438 y[1] (numeric) 1.1119167486173285 absolute error 1.532107773982716e-14 relative error 1.3778979189654937e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.179999999999867 y[1] (closed_form) 1.1130415306404648 y[1] (numeric) 1.1130415306404497 absolute error 1.509903313490213e-14 relative error 1.3565561319364125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.169999999999868 y[1] (closed_form) 1.1141776169108515 y[1] (numeric) 1.1141776169108366 absolute error 1.4876988529977098e-14 relative error 1.3352438878843002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.159999999999869 y[1] (closed_form) 1.1153251210380777 y[1] (numeric) 1.1153251210380626 absolute error 1.509903313490213e-14 relative error 1.3537786292169996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1499999999998702 y[1] (closed_form) 1.116484157773512 y[1] (numeric) 1.1164841577734972 absolute error 1.4876988529977098e-14 relative error 1.3324854120317054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1399999999998713 y[1] (closed_form) 1.1176548430217943 y[1] (numeric) 1.1176548430217792 absolute error 1.509903313490213e-14 relative error 1.3509567134410652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1299999999998724 y[1] (closed_form) 1.1188372938524247 y[1] (numeric) 1.1188372938524094 absolute error 1.532107773982716e-14 relative error 1.3693749595236516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1199999999998735 y[1] (closed_form) 1.120031628511472 y[1] (numeric) 1.1200316285114562 absolute error 1.5765166949677223e-14 relative error 1.4075644426782139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1099999999998746 y[1] (closed_form) 1.121237966433397 y[1] (numeric) 1.1212379664333811 absolute error 1.5765166949677223e-14 relative error 1.4060500466128031e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0999999999998757 y[1] (closed_form) 1.1224564282529972 y[1] (numeric) 1.1224564282529814 absolute error 1.5765166949677223e-14 relative error 1.404523734984911e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.089999999999877 y[1] (closed_form) 1.12368713581747 y[1] (numeric) 1.1236871358174545 absolute error 1.554312234475219e-14 relative error 1.3832250854633787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.079999999999878 y[1] (closed_form) 1.1249302121985978 y[1] (numeric) 1.124930212198582 absolute error 1.5765166949677223e-14 relative error 1.4014351093713894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.069999999999879 y[1] (closed_form) 1.126185781705054 y[1] (numeric) 1.1261857817050382 absolute error 1.5765166949677223e-14 relative error 1.399872668060916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.05999999999988 y[1] (closed_form) 1.127453969894836 y[1] (numeric) 1.1274539698948203 absolute error 1.5765166949677223e-14 relative error 1.3982980565625867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0499999999998813 y[1] (closed_form) 1.1287349035878196 y[1] (numeric) 1.1287349035878043 absolute error 1.532107773982716e-14 relative error 1.3573672339826892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0399999999998824 y[1] (closed_form) 1.1300287108784413 y[1] (numeric) 1.130028710878426 absolute error 1.532107773982716e-14 relative error 1.3558131392889247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0299999999998835 y[1] (closed_form) 1.1313355211485083 y[1] (numeric) 1.1313355211484932 absolute error 1.509903313490213e-14 relative error 1.3346202653987125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0199999999998846 y[1] (closed_form) 1.132655465080137 y[1] (numeric) 1.1326554650801217 absolute error 1.532107773982716e-14 relative error 1.3526688575809036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0099999999998857 y[1] (closed_form) 1.1339886746688204 y[1] (numeric) 1.1339886746688053 absolute error 1.509903313490213e-14 relative error 1.3314977011839891e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9999999999998868 y[1] (closed_form) 1.135335283236628 y[1] (numeric) 1.135335283236613 absolute error 1.4876988529977098e-14 relative error 1.3103608026314125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9899999999998879 y[1] (closed_form) 1.1366954254455393 y[1] (numeric) 1.1366954254455244 absolute error 1.4876988529977098e-14 relative error 1.3087928566393159e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.979999999999889 y[1] (closed_form) 1.138069237310908 y[1] (numeric) 1.1380692373108934 absolute error 1.4654943925052066e-14 relative error 1.2877023158696008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.96999999999989 y[1] (closed_form) 1.1394568562150662 y[1] (numeric) 1.1394568562150516 absolute error 1.4654943925052066e-14 relative error 1.2861341651610569e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9599999999998912 y[1] (closed_form) 1.1408584209210604 y[1] (numeric) 1.1408584209210457 absolute error 1.4654943925052066e-14 relative error 1.28455412663918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9499999999998923 y[1] (closed_form) 1.142274071586529 y[1] (numeric) 1.1422740715865145 absolute error 1.4432899320127035e-14 relative error 1.2635233241424164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9399999999998934 y[1] (closed_form) 1.1437039497777182 y[1] (numeric) 1.143703949777704 absolute error 1.4210854715202004e-14 relative error 1.2425291280985714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9299999999998945 y[1] (closed_form) 1.1451481984836391 y[1] (numeric) 1.1451481984836247 absolute error 1.4432899320127035e-14 relative error 1.2603520958456312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9199999999998956 y[1] (closed_form) 1.1466069621303654 y[1] (numeric) 1.1466069621303514 absolute error 1.3988810110276972e-14 relative error 1.2200178938636595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9099999999998967 y[1] (closed_form) 1.1480803865954778 y[1] (numeric) 1.1480803865954639 absolute error 1.3988810110276972e-14 relative error 1.2184521461741408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8999999999998978 y[1] (closed_form) 1.1495686192226504 y[1] (numeric) 1.1495686192226364 absolute error 1.3988810110276972e-14 relative error 1.2168747368674994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8899999999998989 y[1] (closed_form) 1.151071808836386 y[1] (numeric) 1.1510718088363725 absolute error 1.354472090042691e-14 relative error 1.1767051192157347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8799999999999 y[1] (closed_form) 1.1525901057568992 y[1] (numeric) 1.1525901057568857 absolute error 1.354472090042691e-14 relative error 1.1751550557977566e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.869999999999901 y[1] (closed_form) 1.1541236618151467 y[1] (numeric) 1.1541236618151334 absolute error 1.3322676295501878e-14 relative error 1.1543543154248007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8599999999999022 y[1] (closed_form) 1.1556726303680125 y[1] (numeric) 1.1556726303679994 absolute error 1.3100631690576847e-14 relative error 1.133593661935654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8499999999999033 y[1] (closed_form) 1.1572371663136427 y[1] (numeric) 1.1572371663136296 absolute error 1.3100631690576847e-14 relative error 1.1320610910128876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8399999999999044 y[1] (closed_form) 1.158817426106936 y[1] (numeric) 1.1588174261069224 absolute error 1.354472090042691e-14 relative error 1.1688399393449404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8299999999999055 y[1] (closed_form) 1.160413567775188 y[1] (numeric) 1.1604135677751748 absolute error 1.3100631690576847e-14 relative error 1.1289622988202506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8199999999999066 y[1] (closed_form) 1.1620257509338958 y[1] (numeric) 1.1620257509338827 absolute error 1.3100631690576847e-14 relative error 1.1273959875715442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8099999999999077 y[1] (closed_form) 1.1636541368027191 y[1] (numeric) 1.163654136802706 absolute error 1.3100631690576847e-14 relative error 1.1258183403680773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7999999999999088 y[1] (closed_form) 1.1652988882216015 y[1] (numeric) 1.1652988882215887 absolute error 1.2878587085651816e-14 relative error 1.1051745793138293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7899999999999099 y[1] (closed_form) 1.1669601696670557 y[1] (numeric) 1.166960169667043 absolute error 1.2656542480726785e-14 relative error 1.0845736478167725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.779999999999911 y[1] (closed_form) 1.1686381472686105 y[1] (numeric) 1.168638147268598 absolute error 1.2434497875801753e-14 relative error 1.0640160861481525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.769999999999912 y[1] (closed_form) 1.1703329888254244 y[1] (numeric) 1.1703329888254115 absolute error 1.2878587085651816e-14 relative error 1.1004207527788386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7599999999999132 y[1] (closed_form) 1.1720448638230654 y[1] (numeric) 1.1720448638230525 absolute error 1.2878587085651816e-14 relative error 1.098813491118715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7499999999999143 y[1] (closed_form) 1.17377394345046 y[1] (numeric) 1.173773943450447 absolute error 1.2878587085651816e-14 relative error 1.0971948353013825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7399999999999154 y[1] (closed_form) 1.1755204006170117 y[1] (numeric) 1.1755204006169988 absolute error 1.2878587085651816e-14 relative error 1.095564745528198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7299999999999165 y[1] (closed_form) 1.1772844099698927 y[1] (numeric) 1.1772844099698798 absolute error 1.2878587085651816e-14 relative error 1.0939231825877288e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7199999999999176 y[1] (closed_form) 1.179066147911508 y[1] (numeric) 1.1790661479114952 absolute error 1.2878587085651816e-14 relative error 1.0922701078700112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7099999999999187 y[1] (closed_form) 1.1808657926171369 y[1] (numeric) 1.180865792617124 absolute error 1.2878587085651816e-14 relative error 1.0906054833808996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6999999999999198 y[1] (closed_form) 1.1826835240527493 y[1] (numeric) 1.1826835240527365 absolute error 1.2878587085651816e-14 relative error 1.0889292717565086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.689999999999921 y[1] (closed_form) 1.184519523993004 y[1] (numeric) 1.1845195239929909 absolute error 1.3100631690576847e-14 relative error 1.1059869782825312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.679999999999922 y[1] (closed_form) 1.1863739760394245 y[1] (numeric) 1.1863739760394116 absolute error 1.2878587085651816e-14 relative error 1.0855419408849074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.669999999999923 y[1] (closed_form) 1.1882470656387611 y[1] (numeric) 1.1882470656387483 absolute error 1.2878587085651816e-14 relative error 1.0838307501924044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6599999999999242 y[1] (closed_form) 1.190138980101535 y[1] (numeric) 1.1901389801015219 absolute error 1.3100631690576847e-14 relative error 1.100764861046664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6499999999999253 y[1] (closed_form) 1.1920499086207685 y[1] (numeric) 1.1920499086207554 absolute error 1.3100631690576847e-14 relative error 1.0990002680118154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6399999999999264 y[1] (closed_form) 1.1939800422909062 y[1] (numeric) 1.1939800422908933 absolute error 1.2878587085651816e-14 relative error 1.078626662883032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6299999999999275 y[1] (closed_form) 1.1959295741269236 y[1] (numeric) 1.1959295741269105 absolute error 1.3100631690576847e-14 relative error 1.0954350468455328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6199999999999286 y[1] (closed_form) 1.197898699083629 y[1] (numeric) 1.1978986990836158 absolute error 1.3100631690576847e-14 relative error 1.0936343532719918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6099999999999297 y[1] (closed_form) 1.1998876140751586 y[1] (numeric) 1.1998876140751455 absolute error 1.3100631690576847e-14 relative error 1.0918215620280791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5999999999999308 y[1] (closed_form) 1.2018965179946695 y[1] (numeric) 1.2018965179946564 absolute error 1.3100631690576847e-14 relative error 1.0899966423427936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.589999999999932 y[1] (closed_form) 1.2039256117342274 y[1] (numeric) 1.2039256117342143 absolute error 1.3100631690576847e-14 relative error 1.0881595642529512e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.579999999999933 y[1] (closed_form) 1.2059750982048973 y[1] (numeric) 1.2059750982048845 absolute error 1.2878587085651816e-14 relative error 1.0678982596590665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5699999999999341 y[1] (closed_form) 1.2080451823570342 y[1] (numeric) 1.2080451823570213 absolute error 1.2878587085651816e-14 relative error 1.0660683287130223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5599999999999352 y[1] (closed_form) 1.2101360712007783 y[1] (numeric) 1.2101360712007658 absolute error 1.2434497875801753e-14 relative error 1.0275289012303723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5499999999999363 y[1] (closed_form) 1.2122479738267566 y[1] (numeric) 1.2122479738267442 absolute error 1.2434497875801753e-14 relative error 1.025738804623383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5399999999999374 y[1] (closed_form) 1.2143811014269914 y[1] (numeric) 1.2143811014269792 absolute error 1.2212453270876722e-14 relative error 1.0056524476975267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5299999999999385 y[1] (closed_form) 1.2165356673160204 y[1] (numeric) 1.2165356673160084 absolute error 1.199040866595169e-14 relative error 9.856191633415492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5199999999999396 y[1] (closed_form) 1.218711886952228 y[1] (numeric) 1.2187118869522158 absolute error 1.2212453270876722e-14 relative error 1.00207878511941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5099999999999407 y[1] (closed_form) 1.2209099779593913 y[1] (numeric) 1.220909977959379 absolute error 1.2212453270876722e-14 relative error 1.0002746714617252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4999999999999418 y[1] (closed_form) 1.2231301601484428 y[1] (numeric) 1.2231301601484306 absolute error 1.2212453270876722e-14 relative error 9.98459008597628e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.489999999999943 y[1] (closed_form) 1.2253726555394515 y[1] (numeric) 1.225372655539439 absolute error 1.2434497875801753e-14 relative error 1.0147523546890032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.479999999999944 y[1] (closed_form) 1.2276376883838256 y[1] (numeric) 1.2276376883838134 absolute error 1.2212453270876722e-14 relative error 9.947929577621808e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4699999999999451 y[1] (closed_form) 1.2299254851867365 y[1] (numeric) 1.2299254851867245 absolute error 1.199040866595169e-14 relative error 9.748890327393465e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4599999999999462 y[1] (closed_form) 1.2322362747297713 y[1] (numeric) 1.2322362747297595 absolute error 1.176836406102666e-14 relative error 9.550411964302427e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4499999999999473 y[1] (closed_form) 1.23457028809381 y[1] (numeric) 1.234570288093798 absolute error 1.199040866595169e-14 relative error 9.712212242257192e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4399999999999484 y[1] (closed_form) 1.236927758682134 y[1] (numeric) 1.2369277586821226 absolute error 1.1324274851176597e-14 relative error 9.155162677602025e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4299999999999495 y[1] (closed_form) 1.2393089222437665 y[1] (numeric) 1.2393089222437552 absolute error 1.1324274851176597e-14 relative error 9.137572277519004e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4199999999999506 y[1] (closed_form) 1.2417140168970484 y[1] (numeric) 1.241714016897037 absolute error 1.1324274851176597e-14 relative error 9.119873575620192e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4099999999999517 y[1] (closed_form) 1.244143283153449 y[1] (numeric) 1.2441432831534378 absolute error 1.1102230246251565e-14 relative error 8.923594570322692e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3999999999999528 y[1] (closed_form) 1.2465969639416181 y[1] (numeric) 1.2465969639416075 absolute error 1.0658141036401503e-14 relative error 8.54978902138627e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.389999999999954 y[1] (closed_form) 1.2490753046316796 y[1] (numeric) 1.2490753046316694 absolute error 1.021405182655144e-14 relative error 8.177290663482697e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.379999999999955 y[1] (closed_form) 1.2515785530597678 y[1] (numeric) 1.2515785530597578 absolute error 9.992007221626409e-15 relative error 7.983523844507146e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3699999999999561 y[1] (closed_form) 1.2541069595528114 y[1] (numeric) 1.2541069595528016 absolute error 9.769962616701378e-15 relative error 7.790374291667391e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3599999999999572 y[1] (closed_form) 1.256660776953567 y[1] (numeric) 1.2566607769535572 absolute error 9.769962616701378e-15 relative error 7.774542498561944e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3499999999999583 y[1] (closed_form) 1.2592402606459023 y[1] (numeric) 1.2592402606458932 absolute error 9.103828801926284e-15 relative error 7.229620181661485e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3399999999999594 y[1] (closed_form) 1.2618456685803365 y[1] (numeric) 1.2618456685803274 absolute error 9.103828801926284e-15 relative error 7.214692754121602e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3299999999999605 y[1] (closed_form) 1.2644772612998345 y[1] (numeric) 1.2644772612998254 absolute error 9.103828801926284e-15 relative error 7.19967774870692e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3199999999999616 y[1] (closed_form) 1.2671353019658607 y[1] (numeric) 1.2671353019658518 absolute error 8.881784197001252e-15 relative error 7.009341609551769e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3099999999999627 y[1] (closed_form) 1.2698200563846969 y[1] (numeric) 1.2698200563846882 absolute error 8.659739592076221e-15 relative error 6.819658855232887e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2999999999999639 y[1] (closed_form) 1.2725317930340225 y[1] (numeric) 1.2725317930340134 absolute error 9.103828801926284e-15 relative error 7.154107152184042e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.289999999999965 y[1] (closed_form) 1.275270783089762 y[1] (numeric) 1.2752707830897534 absolute error 8.659739592076221e-15 relative error 6.790510460135501e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.279999999999966 y[1] (closed_form) 1.2780373004532035 y[1] (numeric) 1.278037300453195 absolute error 8.43769498715119e-15 relative error 6.602072556222817e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2699999999999672 y[1] (closed_form) 1.280831621778389 y[1] (numeric) 1.2808316217783806 absolute error 8.43769498715119e-15 relative error 6.587669170312762e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2599999999999683 y[1] (closed_form) 1.2836540264997793 y[1] (numeric) 1.2836540264997711 absolute error 8.215650382226158e-15 relative error 6.400206140145325e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2499999999999694 y[1] (closed_form) 1.2865047968601988 y[1] (numeric) 1.2865047968601906 absolute error 8.215650382226158e-15 relative error 6.386023901564148e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2399999999999705 y[1] (closed_form) 1.289384217939059 y[1] (numeric) 1.289384217939051 absolute error 8.215650382226158e-15 relative error 6.371762790270526e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2299999999999716 y[1] (closed_form) 1.2922925776808678 y[1] (numeric) 1.2922925776808598 absolute error 7.993605777301127e-15 relative error 6.185600625863187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2199999999999727 y[1] (closed_form) 1.2952301669240223 y[1] (numeric) 1.2952301669240147 absolute error 7.549516567451064e-15 relative error 5.828706557522542e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2099999999999738 y[1] (closed_form) 1.2981972794298953 y[1] (numeric) 1.2981972794298884 absolute error 6.8833827526759706e-15 relative error 5.302262500271773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1999999999999749 y[1] (closed_form) 1.3011942119122097 y[1] (numeric) 1.301194211912203 absolute error 6.661338147750939e-15 relative error 5.119403457814007e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.189999999999976 y[1] (closed_form) 1.3042212640667112 y[1] (numeric) 1.304221264066705 absolute error 6.217248937900877e-15 relative error 4.767020067219869e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.179999999999977 y[1] (closed_form) 1.3072787386011382 y[1] (numeric) 1.307278738601132 absolute error 6.217248937900877e-15 relative error 4.755870920499849e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1699999999999782 y[1] (closed_form) 1.310366941265492 y[1] (numeric) 1.3103669412654857 absolute error 6.217248937900877e-15 relative error 4.744662538492114e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1599999999999793 y[1] (closed_form) 1.3134861808826117 y[1] (numeric) 1.3134861808826064 absolute error 5.329070518200751e-15 relative error 4.057195725211074e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1499999999999804 y[1] (closed_form) 1.3166367693790595 y[1] (numeric) 1.3166367693790546 absolute error 4.884981308350689e-15 relative error 3.710196632784682e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1399999999999815 y[1] (closed_form) 1.31981902181631 y[1] (numeric) 1.3198190218163057 absolute error 4.218847493575595e-15 relative error 3.196534845944027e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1299999999999826 y[1] (closed_form) 1.3230332564222587 y[1] (numeric) 1.3230332564222549 absolute error 3.774758283725532e-15 relative error 2.8531091455200593e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1199999999999837 y[1] (closed_form) 1.3262797946230447 y[1] (numeric) 1.3262797946230416 absolute error 3.1086244689504383e-15 relative error 2.343867773265725e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1099999999999848 y[1] (closed_form) 1.3295589610751941 y[1] (numeric) 1.3295589610751912 absolute error 2.886579864025407e-15 relative error 2.1710807482287765e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0999999999999859 y[1] (closed_form) 1.3328710836980844 y[1] (numeric) 1.332871083698082 absolute error 2.4424906541753444e-15 relative error 1.832503296116675e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.089999999999987 y[1] (closed_form) 1.3362164937067378 y[1] (numeric) 1.3362164937067353 absolute error 2.4424906541753444e-15 relative error 1.8279153607809026e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.079999999999988 y[1] (closed_form) 1.3395955256449432 y[1] (numeric) 1.339595525644941 absolute error 2.220446049250313e-15 relative error 1.657549616091236e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0699999999999892 y[1] (closed_form) 1.3430085174187103 y[1] (numeric) 1.3430085174187085 absolute error 1.7763568394002505e-15 relative error 1.322669824026466e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0599999999999903 y[1] (closed_form) 1.3464558103300608 y[1] (numeric) 1.3464558103300592 absolute error 1.5543122344752192e-15 relative error 1.1543730009930337e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0499999999999914 y[1] (closed_form) 1.3499377491111584 y[1] (numeric) 1.349937749111157 absolute error 1.3322676295501878e-15 relative error 9.869104189636855e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0399999999999925 y[1] (closed_form) 1.353454681958783 y[1] (numeric) 1.3534546819587823 absolute error 6.661338147750939e-16 relative error 4.921729730995011e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0299999999999936 y[1] (closed_form) 1.3570069605691497 y[1] (numeric) 1.3570069605691495 absolute error 2.220446049250313e-16 relative error 1.6362819895330703e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0199999999999947 y[1] (closed_form) 1.3605949401730801 y[1] (numeric) 1.3605949401730806 absolute error 4.440892098500626e-16 relative error 3.2639340095853245e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0099999999999958 y[1] (closed_form) 1.364218979571525 y[1] (numeric) 1.3642189795715256 absolute error 6.661338147750939e-16 relative error 4.882895083194883e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9999999999999968 y[1] (closed_form) 1.3678794411714434 y[1] (numeric) 1.3678794411714448 absolute error 1.3322676295501878e-15 relative error 9.739656796137254e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9899999999999968 y[1] (closed_form) 1.3715766910220468 y[1] (numeric) 1.371576691022048 absolute error 1.1102230246251565e-15 relative error 8.094501983683177e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9799999999999968 y[1] (closed_form) 1.3753110988514008 y[1] (numeric) 1.3753110988514017 absolute error 8.881784197001252e-16 relative error 6.458018265408406e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9699999999999968 y[1] (closed_form) 1.3790830381034 y[1] (numeric) 1.3790830381034014 absolute error 1.3322676295501878e-15 relative error 9.660532344610695e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9599999999999967 y[1] (closed_form) 1.3828928859751133 y[1] (numeric) 1.3828928859751148 absolute error 1.5543122344752192e-15 relative error 1.1239570687206433e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9499999999999967 y[1] (closed_form) 1.3867410234545026 y[1] (numeric) 1.386741023454504 absolute error 1.3322676295501878e-15 relative error 9.607184088571805e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9399999999999967 y[1] (closed_form) 1.3906278353585224 y[1] (numeric) 1.390627835358524 absolute error 1.5543122344752192e-15 relative error 1.1177053953292232e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9299999999999967 y[1] (closed_form) 1.3945537103716024 y[1] (numeric) 1.3945537103716041 absolute error 1.7763568394002505e-15 relative error 1.273781587750328e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9199999999999967 y[1] (closed_form) 1.3985190410845154 y[1] (numeric) 1.398519041084517 absolute error 1.5543122344752192e-15 relative error 1.1113986930559703e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9099999999999967 y[1] (closed_form) 1.4025242240336373 y[1] (numeric) 1.4025242240336389 absolute error 1.5543122344752192e-15 relative error 1.1082248761486928e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8999999999999967 y[1] (closed_form) 1.4065696597406006 y[1] (numeric) 1.4065696597406019 absolute error 1.3322676295501878e-15 relative error 9.471750085920981e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8899999999999967 y[1] (closed_form) 1.410655752752347 y[1] (numeric) 1.4106557527523482 absolute error 1.3322676295501878e-15 relative error 9.444314298160873e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8799999999999967 y[1] (closed_form) 1.4147829116815829 y[1] (numeric) 1.4147829116815838 absolute error 8.881784197001252e-16 relative error 6.277842433398167e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8699999999999967 y[1] (closed_form) 1.4189515492476403 y[1] (numeric) 1.4189515492476417 absolute error 1.3322676295501878e-15 relative error 9.389098805076084e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8599999999999967 y[1] (closed_form) 1.4231620823177502 y[1] (numeric) 1.4231620823177513 absolute error 1.1102230246251565e-15 relative error 7.801100369516987e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8499999999999966 y[1] (closed_form) 1.4274149319487281 y[1] (numeric) 1.4274149319487293 absolute error 1.1102230246251565e-15 relative error 7.777857718704564e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8399999999999966 y[1] (closed_form) 1.4317105234290812 y[1] (numeric) 1.4317105234290823 absolute error 1.1102230246251565e-15 relative error 7.75452164705801e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8299999999999966 y[1] (closed_form) 1.436049286321537 y[1] (numeric) 1.436049286321538 absolute error 8.881784197001252e-16 relative error 6.18487421121324e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8199999999999966 y[1] (closed_form) 1.4404316545060007 y[1] (numeric) 1.4404316545060016 absolute error 8.881784197001252e-16 relative error 6.166057354555486e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8099999999999966 y[1] (closed_form) 1.4448580662229427 y[1] (numeric) 1.4448580662229435 absolute error 8.881784197001252e-16 relative error 6.147167257901986e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7999999999999966 y[1] (closed_form) 1.4493289641172231 y[1] (numeric) 1.4493289641172238 absolute error 6.661338147750939e-16 relative error 4.5961533321100204e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7899999999999966 y[1] (closed_form) 1.4538447952823574 y[1] (numeric) 1.4538447952823574 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] -0.7799999999999966 y[1] (closed_form) 1.458406011305225 y[1] (numeric) 1.4584060113052253 absolute error 2.220446049250313e-16 relative error 1.5225157000436988e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7699999999999966 y[1] (closed_form) 1.4630130683112297 y[1] (numeric) 1.4630130683112303 absolute error 6.661338147750939e-16 relative error 4.55316380423053e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7599999999999966 y[1] (closed_form) 1.467666427009911 y[1] (numeric) 1.4676664270099118 absolute error 8.881784197001252e-16 relative error 6.051636825335158e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7499999999999966 y[1] (closed_form) 1.4723665527410164 y[1] (numeric) 1.4723665527410172 absolute error 8.881784197001252e-16 relative error 6.032318637275866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7399999999999965 y[1] (closed_form) 1.477113915521036 y[1] (numeric) 1.4771139155210369 absolute error 8.881784197001252e-16 relative error 6.012931097374639e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7299999999999965 y[1] (closed_form) 1.481908990090204 y[1] (numeric) 1.4819089900902047 absolute error 6.661338147750939e-16 relative error 4.495106104556031e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7199999999999965 y[1] (closed_form) 1.4867522559599733 y[1] (numeric) 1.4867522559599742 absolute error 8.881784197001252e-16 relative error 5.97395037498458e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7099999999999965 y[1] (closed_form) 1.4916441974609669 y[1] (numeric) 1.4916441974609678 absolute error 8.881784197001252e-16 relative error 5.954358426841713e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6999999999999965 y[1] (closed_form) 1.4965853037914112 y[1] (numeric) 1.4965853037914123 absolute error 1.1102230246251565e-15 relative error 7.418374494340855e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6899999999999965 y[1] (closed_form) 1.5015760690660573 y[1] (numeric) 1.5015760690660584 absolute error 1.1102230246251565e-15 relative error 7.39371815718725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6799999999999965 y[1] (closed_form) 1.5066169923655914 y[1] (numeric) 1.506616992365593 absolute error 1.5543122344752192e-15 relative error 1.0316571778702295e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6699999999999965 y[1] (closed_form) 1.5117085777865444 y[1] (numeric) 1.5117085777865462 absolute error 1.7763568394002505e-15 relative error 1.1750656611350357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6599999999999965 y[1] (closed_form) 1.516851334491701 y[1] (numeric) 1.5168513344917027 absolute error 1.7763568394002505e-15 relative error 1.171081699971283e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6499999999999965 y[1] (closed_form) 1.522045776761018 y[1] (numeric) 1.5220457767610198 absolute error 1.7763568394002505e-15 relative error 1.167085028927591e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6399999999999965 y[1] (closed_form) 1.5272924240430505 y[1] (numeric) 1.5272924240430523 absolute error 1.7763568394002505e-15 relative error 1.163075787869016e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6299999999999965 y[1] (closed_form) 1.532591801006899 y[1] (numeric) 1.532591801006901 absolute error 1.9984014443252818e-15 relative error 1.3039358836530053e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6199999999999964 y[1] (closed_form) 1.5379444375946765 y[1] (numeric) 1.5379444375946785 absolute error 1.9984014443252818e-15 relative error 1.2993976865970228e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6099999999999964 y[1] (closed_form) 1.5433508690745017 y[1] (numeric) 1.543350869074504 absolute error 2.220446049250313e-15 relative error 1.438717594128057e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5999999999999964 y[1] (closed_form) 1.5488116360940283 y[1] (numeric) 1.5488116360940305 absolute error 2.220446049250313e-15 relative error 1.433644994332616e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5899999999999964 y[1] (closed_form) 1.554327284734509 y[1] (numeric) 1.5543272847345113 absolute error 2.220446049250313e-15 relative error 1.4285575959824845e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5799999999999964 y[1] (closed_form) 1.559898366565404 y[1] (numeric) 1.5598983665654063 absolute error 2.220446049250313e-15 relative error 1.423455589699288e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5699999999999964 y[1] (closed_form) 1.565525438699539 y[1] (numeric) 1.5655254386995416 absolute error 2.6645352591003757e-15 relative error 1.7020070023989962e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5599999999999964 y[1] (closed_form) 1.571209063848817 y[1] (numeric) 1.5712090638488192 absolute error 2.220446049250313e-15 relative error 1.4132085286035278e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5499999999999964 y[1] (closed_form) 1.5769498103804889 y[1] (numeric) 1.576949810380491 absolute error 2.220446049250313e-15 relative error 1.4080638677489427e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5399999999999964 y[1] (closed_form) 1.5827482523739917 y[1] (numeric) 1.5827482523739942 absolute error 2.4424906541753444e-15 relative error 1.543195925512355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5299999999999964 y[1] (closed_form) 1.5886049696783573 y[1] (numeric) 1.5886049696783597 absolute error 2.4424906541753444e-15 relative error 1.5375066179415718e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5199999999999964 y[1] (closed_form) 1.5945205479701965 y[1] (numeric) 1.5945205479701987 absolute error 2.220446049250313e-15 relative error 1.392547780006292e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5099999999999963 y[1] (closed_form) 1.6004955788122681 y[1] (numeric) 1.6004955788122703 absolute error 2.220446049250313e-15 relative error 1.3873490677794385e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.49999999999999634 y[1] (closed_form) 1.6065306597126356 y[1] (numeric) 1.6065306597126379 absolute error 2.220446049250313e-15 relative error 1.3821373627861482e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4899999999999963 y[1] (closed_form) 1.6126263941844183 y[1] (numeric) 1.6126263941844206 absolute error 2.220446049250313e-15 relative error 1.3769128778109192e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4799999999999963 y[1] (closed_form) 1.6187833918061432 y[1] (numeric) 1.618783391806145 absolute error 1.7763568394002505e-15 relative error 1.0973406623713232e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4699999999999963 y[1] (closed_form) 1.625002268282703 y[1] (numeric) 1.6250022682827048 absolute error 1.7763568394002505e-15 relative error 1.0931411445212926e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4599999999999963 y[1] (closed_form) 1.6312836455069282 y[1] (numeric) 1.63128364550693 absolute error 1.7763568394002505e-15 relative error 1.088931924434417e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4499999999999963 y[1] (closed_form) 1.6376281516217757 y[1] (numeric) 1.6376281516217772 absolute error 1.5543122344752192e-15 relative error 9.4912403217785e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4399999999999963 y[1] (closed_form) 1.6440364210831437 y[1] (numeric) 1.6440364210831453 absolute error 1.5543122344752192e-15 relative error 9.454244532193445e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4299999999999963 y[1] (closed_form) 1.650509094723319 y[1] (numeric) 1.6505090947233205 absolute error 1.5543122344752192e-15 relative error 9.417168553898665e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.41999999999999627 y[1] (closed_form) 1.6570468198150592 y[1] (numeric) 1.6570468198150607 absolute error 1.5543122344752192e-15 relative error 9.380013985656083e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.40999999999999626 y[1] (closed_form) 1.663650250136322 y[1] (numeric) 1.6636502501363233 absolute error 1.3322676295501878e-15 relative error 8.008099235046669e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.39999999999999625 y[1] (closed_form) 1.6703200460356418 y[1] (numeric) 1.670320046035643 absolute error 1.3322676295501878e-15 relative error 7.976121897789638e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.38999999999999624 y[1] (closed_form) 1.677056874498167 y[1] (numeric) 1.6770568744981686 absolute error 1.5543122344752192e-15 relative error 9.268094947229042e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.37999999999999623 y[1] (closed_form) 1.6838614092123585 y[1] (numeric) 1.68386140921236 absolute error 1.5543122344752192e-15 relative error 9.230642296162977e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3699999999999962 y[1] (closed_form) 1.6907343306373572 y[1] (numeric) 1.6907343306373586 absolute error 1.3322676295501878e-15 relative error 7.879816511728144e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3599999999999962 y[1] (closed_form) 1.6976763260710337 y[1] (numeric) 1.6976763260710352 absolute error 1.5543122344752192e-15 relative error 9.155527532579754e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3499999999999962 y[1] (closed_form) 1.704688089718716 y[1] (numeric) 1.7046880897187175 absolute error 1.5543122344752192e-15 relative error 9.117868798694371e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3399999999999962 y[1] (closed_form) 1.7117703227626124 y[1] (numeric) 1.7117703227626138 absolute error 1.3322676295501878e-15 relative error 7.782981231968385e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3299999999999962 y[1] (closed_form) 1.718923733431929 y[1] (numeric) 1.7189237334319303 absolute error 1.3322676295501878e-15 relative error 7.750591859536663e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3199999999999962 y[1] (closed_form) 1.7261490370736938 y[1] (numeric) 1.726149037073695 absolute error 1.1102230246251565e-15 relative error 6.431791234592904e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.30999999999999617 y[1] (closed_form) 1.733446956224292 y[1] (numeric) 1.7334469562242933 absolute error 1.3322676295501878e-15 relative error 7.685655593708313e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.29999999999999616 y[1] (closed_form) 1.7408182206817209 y[1] (numeric) 1.740818220681722 absolute error 1.1102230246251565e-15 relative error 6.377593084879263e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.28999999999999615 y[1] (closed_form) 1.748263567578568 y[1] (numeric) 1.7482635675785694 absolute error 1.3322676295501878e-15 relative error 7.620519321325472e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.27999999999999614 y[1] (closed_form) 1.7557837414557285 y[1] (numeric) 1.7557837414557298 absolute error 1.3322676295501878e-15 relative error 7.587879976867759e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.26999999999999613 y[1] (closed_form) 1.7633794943368561 y[1] (numeric) 1.7633794943368577 absolute error 1.5543122344752192e-15 relative error 8.81439440271897e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2599999999999961 y[1] (closed_form) 1.7710515858035691 y[1] (numeric) 1.7710515858035711 absolute error 1.9984014443252818e-15 relative error 1.128369981057643e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.24999999999999611 y[1] (closed_form) 1.7788007830714079 y[1] (numeric) 1.7788007830714099 absolute error 1.9984014443252818e-15 relative error 1.1234543313359101e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2399999999999961 y[1] (closed_form) 1.7866278610665565 y[1] (numeric) 1.7866278610665585 absolute error 1.9984014443252818e-15 relative error 1.1185325651041307e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2299999999999961 y[1] (closed_form) 1.7945336025033372 y[1] (numeric) 1.7945336025033392 absolute error 1.9984014443252818e-15 relative error 1.1136049174769162e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2199999999999961 y[1] (closed_form) 1.8025187979624815 y[1] (numeric) 1.8025187979624835 absolute error 1.9984014443252818e-15 relative error 1.1086716247199312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.20999999999999608 y[1] (closed_form) 1.8105842459701904 y[1] (numeric) 1.8105842459701922 absolute error 1.7763568394002505e-15 relative error 9.81095932627206e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.19999999999999607 y[1] (closed_form) 1.818730753077985 y[1] (numeric) 1.8187307530779868 absolute error 1.7763568394002505e-15 relative error 9.767013816607973e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.18999999999999606 y[1] (closed_form) 1.8269591339433657 y[1] (numeric) 1.8269591339433673 absolute error 1.5543122344752192e-15 relative error 8.507646425130172e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.17999999999999605 y[1] (closed_form) 1.8352702114112753 y[1] (numeric) 1.8352702114112769 absolute error 1.5543122344752192e-15 relative error 8.469119287235602e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.16999999999999604 y[1] (closed_form) 1.843664816596387 y[1] (numeric) 1.8436648165963887 absolute error 1.7763568394002505e-15 relative error 9.634922917711286e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.15999999999999603 y[1] (closed_form) 1.8521437889662147 y[1] (numeric) 1.8521437889662167 absolute error 1.9984014443252818e-15 relative error 1.0789666851085583e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.14999999999999603 y[1] (closed_form) 1.8607079764250614 y[1] (numeric) 1.8607079764250634 absolute error 1.9984014443252818e-15 relative error 1.0740005791584599e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.13999999999999602 y[1] (closed_form) 1.8693582353988094 y[1] (numeric) 1.8693582353988116 absolute error 2.220446049250313e-15 relative error 1.187811949150882e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.129999999999996 y[1] (closed_form) 1.8780954309205649 y[1] (numeric) 1.8780954309205669 absolute error 1.9984014443252818e-15 relative error 1.0640574549216319e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.119999999999996 y[1] (closed_form) 1.886920436717161 y[1] (numeric) 1.8869204367171633 absolute error 2.220446049250313e-15 relative error 1.1767565849853295e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.10999999999999599 y[1] (closed_form) 1.895834135296532 y[1] (numeric) 1.8958341352965342 absolute error 2.220446049250313e-15 relative error 1.1712237942709095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.09999999999999598 y[1] (closed_form) 1.9048374180359633 y[1] (numeric) 1.9048374180359655 absolute error 2.220446049250313e-15 relative error 1.1656879627762493e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.08999999999999597 y[1] (closed_form) 1.913931185271232 y[1] (numeric) 1.913931185271234 absolute error 1.9984014443252818e-15 relative error 1.0441344285019731e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.07999999999999596 y[1] (closed_form) 1.9231163463866396 y[1] (numeric) 1.9231163463866419 absolute error 2.220446049250313e-15 relative error 1.1546082760007365e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.06999999999999595 y[1] (closed_form) 1.932393819905952 y[1] (numeric) 1.9323938199059547 absolute error 2.6645352591003757e-15 relative error 1.3788779655847048e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.059999999999995945 y[1] (closed_form) 1.9417645335842524 y[1] (numeric) 1.9417645335842555 absolute error 3.1086244689504383e-15 relative error 1.6009276177335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.04999999999999594 y[1] (closed_form) 1.9512294245007178 y[1] (numeric) 1.9512294245007207 absolute error 2.886579864025407e-15 relative error 1.4793646650567642e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.03999999999999593 y[1] (closed_form) 1.960789439152327 y[1] (numeric) 1.9607894391523302 absolute error 3.1086244689504383e-15 relative error 1.585394334995161e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.02999999999999592 y[1] (closed_form) 1.9704455335485123 y[1] (numeric) 1.9704455335485151 absolute error 2.886579864025407e-15 relative error 1.4649376574378374e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.01999999999999591 y[1] (closed_form) 1.9801986733067594 y[1] (numeric) 1.9801986733067625 absolute error 3.1086244689504383e-15 relative error 1.5698548387366134e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.009999999999995901 y[1] (closed_form) 1.990049833749172 y[1] (numeric) 1.990049833749175 absolute error 2.886579864025407e-15 relative error 1.450506321536285e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.100886297209172e-15 y[1] (closed_form) 2.000000000000004 y[1] (numeric) 2.000000000000007 absolute error 3.1086244689504383e-15 relative error 1.5543122344752161e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.010000000000004103 y[1] (closed_form) 2.010050167084172 y[1] (numeric) 2.0100501670841755 absolute error 3.552713678800501e-15 relative error 1.767475129217374e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.02000000000000411 y[1] (closed_form) 2.0202013400267598 y[1] (numeric) 2.0202013400267633 absolute error 3.552713678800501e-15 relative error 1.7585938631015072e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.03000000000000412 y[1] (closed_form) 2.030454533953521 y[1] (numeric) 2.0304545339535243 absolute error 3.1086244689504383e-15 relative error 1.5309992994019917e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.04000000000000413 y[1] (closed_form) 2.0408107741923924 y[1] (numeric) 2.040810774192396 absolute error 3.552713678800501e-15 relative error 1.740834438806024e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.05000000000000414 y[1] (closed_form) 2.0512710963760283 y[1] (numeric) 2.0512710963760314 absolute error 3.1086244689504383e-15 relative error 1.5154625219662245e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.06000000000000415 y[1] (closed_form) 2.061836546545364 y[1] (numeric) 2.061836546545367 absolute error 3.1086244689504383e-15 relative error 1.507696851216932e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.07000000000000416 y[1] (closed_form) 2.072508181254221 y[1] (numeric) 2.072508181254223 absolute error 2.220446049250313e-15 relative error 1.0713810779297211e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.08000000000000417 y[1] (closed_form) 2.083287067674963 y[1] (numeric) 2.0832870676749646 absolute error 1.7763568394002505e-15 relative error 8.526702185996577e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.09000000000000417 y[1] (closed_form) 2.0941742837052146 y[1] (numeric) 2.094174283705216 absolute error 1.3322676295501878e-15 relative error 6.361780105488698e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000418 y[1] (closed_form) 2.105170918075652 y[1] (numeric) 2.1051709180756535 absolute error 1.3322676295501878e-15 relative error 6.328548518844355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000419 y[1] (closed_form) 2.116278070458876 y[1] (numeric) 2.1162780704588777 absolute error 1.7763568394002505e-15 relative error 8.393778039835191e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1200000000000042 y[1] (closed_form) 2.12749685157938 y[1] (numeric) 2.127496851579382 absolute error 1.7763568394002505e-15 relative error 8.349515714119833e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1300000000000042 y[1] (closed_form) 2.1388283833246264 y[1] (numeric) 2.1388283833246278 absolute error 1.3322676295501878e-15 relative error 6.228959929357639e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1400000000000042 y[1] (closed_form) 2.1502737988572322 y[1] (numeric) 2.150273798857234 absolute error 1.7763568394002505e-15 relative error 8.261072800795411e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1500000000000042 y[1] (closed_form) 2.161834242728288 y[1] (numeric) 2.1618342427282897 absolute error 1.7763568394002505e-15 relative error 8.216896579260602e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000422 y[1] (closed_form) 2.173510870991815 y[1] (numeric) 2.1735108709918167 absolute error 1.7763568394002505e-15 relative error 8.172753415259729e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000423 y[1] (closed_form) 2.1853048513203706 y[1] (numeric) 2.1853048513203714 absolute error 8.881784197001252e-16 relative error 4.064322738145591e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000424 y[1] (closed_form) 2.1972173631218155 y[1] (numeric) 2.1972173631218164 absolute error 8.881784197001252e-16 relative error 4.042287461438033e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000425 y[1] (closed_form) 2.209249597657257 y[1] (numeric) 2.2092495976572577 absolute error 8.881784197001252e-16 relative error 4.0202719540697064e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.20000000000000426 y[1] (closed_form) 2.221402758160175 y[1] (numeric) 2.221402758160176 absolute error 8.881784197001252e-16 relative error 3.998277288697248e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.21000000000000427 y[1] (closed_form) 2.2336780599567483 y[1] (numeric) 2.2336780599567496 absolute error 1.3322676295501878e-15 relative error 5.964456800797807e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.22000000000000428 y[1] (closed_form) 2.246076730587386 y[1] (numeric) 2.2460767305873865 absolute error 4.440892098500626e-16 relative error 1.9771773769007703e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000428 y[1] (closed_form) 2.2586000099294834 y[1] (numeric) 2.2586000099294834 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] 0.2400000000000043 y[1] (closed_form) 2.27124915032141 y[1] (numeric) 2.2712491503214096 absolute error 4.440892098500626e-16 relative error 1.9552641760469937e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000043 y[1] (closed_form) 2.284025416687747 y[1] (numeric) 2.2840254166877463 absolute error 8.881784197001252e-16 relative error 3.8886538355083e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000043 y[1] (closed_form) 2.2969300866657774 y[1] (numeric) 2.2969300866657765 absolute error 8.881784197001252e-16 relative error 3.8668065034117107e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2700000000000043 y[1] (closed_form) 2.3099644507332533 y[1] (numeric) 2.3099644507332515 absolute error 1.7763568394002505e-15 relative error 7.689974790895075e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2800000000000043 y[1] (closed_form) 2.3231298123374424 y[1] (numeric) 2.323129812337441 absolute error 1.3322676295501878e-15 relative error 5.734796318634093e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2900000000000043 y[1] (closed_form) 2.336427488025478 y[1] (numeric) 2.3364274880254765 absolute error 1.3322676295501878e-15 relative error 5.70215697417638e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3000000000000043 y[1] (closed_form) 2.349858807576009 y[1] (numeric) 2.3498588075760076 absolute error 1.3322676295501878e-15 relative error 5.669564593646736e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3100000000000043 y[1] (closed_form) 2.3634251141321836 y[1] (numeric) 2.363425114132182 absolute error 1.7763568394002505e-15 relative error 7.516027602391386e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.32000000000000434 y[1] (closed_form) 2.377127764335963 y[1] (numeric) 2.3771277643359614 absolute error 1.7763568394002505e-15 relative error 7.472702418653822e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.33000000000000435 y[1] (closed_form) 2.3909681284637863 y[1] (numeric) 2.390968128463785 absolute error 1.3322676295501878e-15 relative error 5.5720844359651886e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.34000000000000435 y[1] (closed_form) 2.4049475905635997 y[1] (numeric) 2.4049475905635984 absolute error 1.3322676295501878e-15 relative error 5.5396950635334666e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.35000000000000436 y[1] (closed_form) 2.4190675485932633 y[1] (numeric) 2.419067548593262 absolute error 1.3322676295501878e-15 relative error 5.507360182335249e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.36000000000000437 y[1] (closed_form) 2.4333294145603466 y[1] (numeric) 2.4333294145603452 absolute error 1.3322676295501878e-15 relative error 5.4750812675763494e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000044 y[1] (closed_form) 2.4477346146633305 y[1] (numeric) 2.4477346146633296 absolute error 8.881784197001252e-16 relative error 3.628573189182473e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000044 y[1] (closed_form) 2.4622845894342307 y[1] (numeric) 2.46228458943423 absolute error 8.881784197001252e-16 relative error 3.6071314563366765e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3900000000000044 y[1] (closed_form) 2.476980793882649 y[1] (numeric) 2.476980793882648 absolute error 1.3322676295501878e-15 relative error 5.3785949121626746e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4000000000000044 y[1] (closed_form) 2.4918246976412766 y[1] (numeric) 2.491824697641275 absolute error 1.7763568394002505e-15 relative error 7.128739196949621e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4100000000000044 y[1] (closed_form) 2.50681778511286 y[1] (numeric) 2.506817785112858 absolute error 1.7763568394002505e-15 relative error 7.086102747273579e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4200000000000044 y[1] (closed_form) 2.5219615556186405 y[1] (numeric) 2.5219615556186388 absolute error 1.7763568394002505e-15 relative error 7.043552410395518e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000443 y[1] (closed_form) 2.537257523548288 y[1] (numeric) 2.537257523548287 absolute error 1.3322676295501878e-15 relative error 5.2508175350172834e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.44000000000000444 y[1] (closed_form) 2.552707218511343 y[1] (numeric) 2.5527072185113413 absolute error 1.7763568394002505e-15 relative error 6.958717500067104e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.45000000000000445 y[1] (closed_form) 2.568312185490176 y[1] (numeric) 2.5683121854901745 absolute error 1.3322676295501878e-15 relative error 5.187327448263139e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.46000000000000446 y[1] (closed_form) 2.5840739849944887 y[1] (numeric) 2.584073984994487 absolute error 1.7763568394002505e-15 relative error 6.874249149658302e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000447 y[1] (closed_form) 2.599994193217367 y[1] (numeric) 2.5999941932173654 absolute error 1.7763568394002505e-15 relative error 6.832156948789546e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000045 y[1] (closed_form) 2.6160744021929005 y[1] (numeric) 2.6160744021928983 absolute error 2.220446049250313e-15 relative error 8.487702212861547e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000045 y[1] (closed_form) 2.6323162199553862 y[1] (numeric) 2.632316219955384 absolute error 2.220446049250313e-15 relative error 8.435331714393897e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000044 y[1] (closed_form) 2.6487212707001353 y[1] (numeric) 2.6487212707001335 absolute error 1.7763568394002505e-15 relative error 6.706469491713285e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000044 y[1] (closed_form) 2.665291194945894 y[1] (numeric) 2.6652911949458913 absolute error 2.6645352591003757e-15 relative error 9.997163777650443e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000045 y[1] (closed_form) 2.682027649698894 y[1] (numeric) 2.682027649698891 absolute error 3.1086244689504383e-15 relative error 1.159057576941624e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000045 y[1] (closed_form) 2.6989323086185584 y[1] (numeric) 2.698932308618555 absolute error 3.552713678800501e-15 relative error 1.316340416340026e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000045 y[1] (closed_form) 2.716006862184866 y[1] (numeric) 2.716006862184863 absolute error 2.6645352591003757e-15 relative error 9.810487949050746e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000045 y[1] (closed_form) 2.733253017867403 y[1] (numeric) 2.7332530178674 absolute error 3.1086244689504383e-15 relative error 1.1373350541019124e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000045 y[1] (closed_form) 2.750672500296109 y[1] (numeric) 2.7506725002961057 absolute error 3.552713678800501e-15 relative error 1.2915800330348495e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000045 y[1] (closed_form) 2.7682670514337433 y[1] (numeric) 2.7682670514337397 absolute error 3.552713678800501e-15 relative error 1.2833710089351662e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000045 y[1] (closed_form) 2.7860384307500814 y[1] (numeric) 2.786038430750078 absolute error 3.552713678800501e-15 relative error 1.2751847352816337e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000045 y[1] (closed_form) 2.803988415397865 y[1] (numeric) 2.803988415397861 absolute error 3.9968028886505635e-15 relative error 1.425399215882084e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000045 y[1] (closed_form) 2.822118800390517 y[1] (numeric) 2.8221188003905127 absolute error 4.440892098500626e-15 relative error 1.573602109835386e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000045 y[1] (closed_form) 2.8404313987816456 y[1] (numeric) 2.8404313987816407 absolute error 4.884981308350689e-15 relative error 1.7198026012689543e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000045 y[1] (closed_form) 2.8589280418463505 y[1] (numeric) 2.8589280418463456 absolute error 4.884981308350689e-15 relative error 1.7086758522246242e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000046 y[1] (closed_form) 2.877610579264352 y[1] (numeric) 2.877610579264347 absolute error 4.884981308350689e-15 relative error 1.6975824816433335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000046 y[1] (closed_form) 2.89648087930496 y[1] (numeric) 2.896480879304956 absolute error 3.9968028886505635e-15 relative error 1.37988236594527e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000046 y[1] (closed_form) 2.9155408290139047 y[1] (numeric) 2.9155408290139007 absolute error 3.9968028886505635e-15 relative error 1.3708615735634763e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000046 y[1] (closed_form) 2.93479233440204 y[1] (numeric) 2.934792334402036 absolute error 3.9968028886505635e-15 relative error 1.3618690637151697e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000046 y[1] (closed_form) 2.9542373206359485 y[1] (numeric) 2.954237320635944 absolute error 4.440892098500626e-15 relative error 1.5032279456630285e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000046 y[1] (closed_form) 2.9738777322304566 y[1] (numeric) 2.9738777322304517 absolute error 4.884981308350689e-15 relative error 1.6426301779013871e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000046 y[1] (closed_form) 2.9937155332430914 y[1] (numeric) 2.9937155332430865 absolute error 4.884981308350689e-15 relative error 1.6317453191882896e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000046 y[1] (closed_form) 3.013752707470486 y[1] (numeric) 3.0137527074704806 absolute error 5.329070518200751e-15 relative error 1.7682507609171314e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000046 y[1] (closed_form) 3.03399125864676 y[1] (numeric) 3.0339912586467546 absolute error 5.329070518200751e-15 relative error 1.7564554620957138e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000046 y[1] (closed_form) 3.0544332106438974 y[1] (numeric) 3.054433210643892 absolute error 5.329070518200751e-15 relative error 1.7447002932099942e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000046 y[1] (closed_form) 3.075080607674132 y[1] (numeric) 3.075080607674127 absolute error 5.329070518200751e-15 relative error 1.7329856345559173e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000047 y[1] (closed_form) 3.095935514494374 y[1] (numeric) 3.0959355144943688 absolute error 5.329070518200751e-15 relative error 1.721311859775959e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000047 y[1] (closed_form) 3.1170000166126846 y[1] (numeric) 3.117000016612679 absolute error 5.773159728050814e-15 relative error 1.852152613821491e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000047 y[1] (closed_form) 3.1382762204968286 y[1] (numeric) 3.138276220496822 absolute error 6.661338147750939e-15 relative error 2.1226105287495583e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000047 y[1] (closed_form) 3.159766253784925 y[1] (numeric) 3.1597662537849183 absolute error 6.661338147750939e-15 relative error 2.1081743435203974e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000047 y[1] (closed_form) 3.1814722654982113 y[1] (numeric) 3.1814722654982046 absolute error 6.661338147750939e-15 relative error 2.0937910476198316e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000047 y[1] (closed_form) 3.203396426255947 y[1] (numeric) 3.203396426255941 absolute error 6.217248937900877e-15 relative error 1.9408303283797592e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000047 y[1] (closed_form) 3.225540928492478 y[1] (numeric) 3.225540928492472 absolute error 6.217248937900877e-15 relative error 1.9275058279315134e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000047 y[1] (closed_form) 3.247907986676482 y[1] (numeric) 3.2479079866764766 absolute error 5.329070518200751e-15 relative error 1.6407701634595506e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000047 y[1] (closed_form) 3.2704998375324164 y[1] (numeric) 3.2704998375324115 absolute error 4.884981308350689e-15 relative error 1.4936497633451632e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000047 y[1] (closed_form) 3.2933187402641937 y[1] (numeric) 3.2933187402641884 absolute error 5.329070518200751e-15 relative error 1.6181459914727986e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000047 y[1] (closed_form) 3.3163669767811026 y[1] (numeric) 3.3163669767810973 absolute error 5.329070518200751e-15 relative error 1.6069001276128972e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000048 y[1] (closed_form) 3.339646851926002 y[1] (numeric) 3.3396468519259974 absolute error 4.440892098500626e-15 relative error 1.3297490110187929e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000048 y[1] (closed_form) 3.3631606937058063 y[1] (numeric) 3.363160693705802 absolute error 4.440892098500626e-15 relative error 1.320451950693824e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000048 y[1] (closed_form) 3.386910853524288 y[1] (numeric) 3.3869108535242836 absolute error 4.440892098500626e-15 relative error 1.3111924968085906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000048 y[1] (closed_form) 3.4108997064172213 y[1] (numeric) 3.410899706417217 absolute error 4.440892098500626e-15 relative error 1.301970881801535e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000048 y[1] (closed_form) 3.4351296512898863 y[1] (numeric) 3.4351296512898815 absolute error 4.884981308350689e-15 relative error 1.4220660656916938e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000048 y[1] (closed_form) 3.4596031111569614 y[1] (numeric) 3.459603111156957 absolute error 4.440892098500626e-15 relative error 1.2836420698602916e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000048 y[1] (closed_form) 3.4843225333848284 y[1] (numeric) 3.484322533384824 absolute error 4.440892098500626e-15 relative error 1.2745353095043538e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000048 y[1] (closed_form) 3.50929038993631 y[1] (numeric) 3.5092903899363055 absolute error 4.440892098500626e-15 relative error 1.2654672611978468e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000048 y[1] (closed_form) 3.534509177617867 y[1] (numeric) 3.534509177617863 absolute error 3.9968028886505635e-15 relative error 1.1307943162123194e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000048 y[1] (closed_form) 3.5599814183292837 y[1] (numeric) 3.5599814183292793 absolute error 4.440892098500626e-15 relative error 1.2474481118456955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000048 y[1] (closed_form) 3.585709659315859 y[1] (numeric) 3.585709659315854 absolute error 4.884981308350689e-15 relative error 1.3623471425410183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000048 y[1] (closed_form) 3.6116964734231303 y[1] (numeric) 3.611696473423126 absolute error 4.440892098500626e-15 relative error 1.2295861878702095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000049 y[1] (closed_form) 3.6379444593541654 y[1] (numeric) 3.6379444593541606 absolute error 4.884981308350689e-15 relative error 1.3427861153267598e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000049 y[1] (closed_form) 3.66445624192943 y[1] (numeric) 3.6644562419294253 absolute error 4.884981308350689e-15 relative error 1.3330712623760575e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000049 y[1] (closed_form) 3.6912344723492754 y[1] (numeric) 3.691234472349271 absolute error 4.440892098500626e-15 relative error 1.2030913050273486e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000049 y[1] (closed_form) 3.7182818284590584 y[1] (numeric) 3.7182818284590544 absolute error 3.9968028886505635e-15 relative error 1.0749058498093811e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0100000000000038 y[1] (closed_form) 3.745601015016927 y[1] (numeric) 3.7456010150169257 absolute error 1.3322676295501878e-15 relative error 3.5568861291120916e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0200000000000027 y[1] (closed_form) 3.7731947639643053 y[1] (numeric) 3.7731947639643075 absolute error 2.220446049250313e-15 relative error 5.884790444576474e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0300000000000016 y[1] (closed_form) 3.8010658346990835 y[1] (numeric) 3.8010658346990884 absolute error 4.884981308350689e-15 relative error 1.2851609313779263e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y[1] (closed_form) 3.8292170143515607 y[1] (numeric) 3.829217014351569 absolute error 8.43769498715119e-15 relative error 2.2035039945574953e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999994 y[1] (closed_form) 3.857651118063162 y[1] (numeric) 3.857651118063174 absolute error 1.199040866595169e-14 relative error 3.1082148952785027e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999983 y[1] (closed_form) 3.886370989267953 y[1] (numeric) 3.886370989267968 absolute error 1.4654943925052066e-14 relative error 3.77085562997487e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999972 y[1] (closed_form) 3.9153794999769884 y[1] (numeric) 3.9153794999770057 absolute error 1.7319479184152442e-14 relative error 4.4234483998943734e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.079999999999996 y[1] (closed_form) 3.944679551065512 y[1] (numeric) 3.944679551065533 absolute error 2.0872192862952943e-14 relative error 5.291226471695293e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.089999999999995 y[1] (closed_form) 3.9742740725630505 y[1] (numeric) 3.974274072563074 absolute error 2.353672812205332e-14 relative error 5.922271009073674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999939 y[1] (closed_form) 4.004166023946414 y[1] (numeric) 4.004166023946442 absolute error 2.7533531010703882e-14 relative error 6.876221127206774e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999928 y[1] (closed_form) 4.034358394435653 y[1] (numeric) 4.034358394435683 absolute error 3.019806626980426e-14 relative error 7.485221519103168e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999917 y[1] (closed_form) 4.064854203292977 y[1] (numeric) 4.06485420329301 absolute error 3.375077994860476e-14 relative error 8.303072696005415e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999906 y[1] (closed_form) 4.095656500124682 y[1] (numeric) 4.095656500124719 absolute error 3.730349362740526e-14 relative error 9.108062071677555e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999895 y[1] (closed_form) 4.126768365186123 y[1] (numeric) 4.126768365186163 absolute error 3.9968028886505635e-14 relative error 9.685067188088474e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999884 y[1] (closed_form) 4.158192909689731 y[1] (numeric) 4.1581929096897765 absolute error 4.529709940470639e-14 relative error 1.08934579007029e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999873 y[1] (closed_form) 4.189933276116144 y[1] (numeric) 4.189933276116194 absolute error 4.973799150320701e-14 relative error 1.1870831401236921e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999862 y[1] (closed_form) 4.221992638528455 y[1] (numeric) 4.221992638528509 absolute error 5.417888360170764e-14 relative error 1.283253862341913e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.179999999999985 y[1] (closed_form) 4.254374202889622 y[1] (numeric) 4.2543742028896805 absolute error 5.861977570020827e-14 relative error 1.3778707021209608e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999984 y[1] (closed_form) 4.287081207383066 y[1] (numeric) 4.287081207383127 absolute error 6.128431095930864e-14 relative error 1.429511315385556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999829 y[1] (closed_form) 4.32011692273649 y[1] (numeric) 4.320116922736558 absolute error 6.750155989720952e-14 relative error 1.5624938191360808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999818 y[1] (closed_form) 4.353484652548962 y[1] (numeric) 4.353484652549033 absolute error 7.105427357601002e-14 relative error 1.6321241315139997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999807 y[1] (closed_form) 4.3871877336212695 y[1] (numeric) 4.387187733621345 absolute error 7.549516567451064e-14 relative error 1.7208100099285124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999796 y[1] (closed_form) 4.421229536289603 y[1] (numeric) 4.421229536289683 absolute error 7.993605777301127e-14 relative error 1.8080051514379286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999785 y[1] (closed_form) 4.455613464762601 y[1] (numeric) 4.455613464762685 absolute error 8.348877145181177e-14 relative error 1.8737884718251727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999774 y[1] (closed_form) 4.490342957461762 y[1] (numeric) 4.49034295746185 absolute error 8.79296635503124e-14 relative error 1.9581948279517614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999763 y[1] (closed_form) 4.525421487365298 y[1] (numeric) 4.525421487365391 absolute error 9.325873406851315e-14 relative error 2.0607745450647167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999751 y[1] (closed_form) 4.560852562355432 y[1] (numeric) 4.560852562355529 absolute error 9.681144774731365e-14 relative error 2.122661200372498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.279999999999974 y[1] (closed_form) 4.596639725569188 y[1] (numeric) 4.59663972556929 absolute error 1.0125233984581428e-13 relative error 2.2027469171140336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999973 y[1] (closed_form) 4.632786555752711 y[1] (numeric) 4.632786555752818 absolute error 1.0746958878371515e-13 relative error 2.3197612816905193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999718 y[1] (closed_form) 4.669296667619141 y[1] (numeric) 4.669296667619253 absolute error 1.1191048088221578e-13 relative error 2.396731003585569e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999707 y[1] (closed_form) 4.70617371221009 y[1] (numeric) 4.706173712210206 absolute error 1.163513729807164e-13 relative error 2.4723136053997474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999696 y[1] (closed_form) 4.7434213772607485 y[1] (numeric) 4.743421377260869 absolute error 1.2079226507921703e-13 relative error 2.5465219189312814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999685 y[1] (closed_form) 4.781043387568662 y[1] (numeric) 4.781043387568787 absolute error 1.2523315717771766e-13 relative error 2.619368765891986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999674 y[1] (closed_form) 4.819043505366212 y[1] (numeric) 4.819043505366341 absolute error 1.2967404927621828e-13 relative error 2.6908669558973822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999663 y[1] (closed_form) 4.857425530696844 y[1] (numeric) 4.857425530696979 absolute error 1.3500311979441904e-13 relative error 2.7793142466365627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999652 y[1] (closed_form) 4.896193301795079 y[1] (numeric) 4.896193301795219 absolute error 1.4033219031261979e-13 relative error 2.8661488969638954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999641 y[1] (closed_form) 4.935350695470332 y[1] (numeric) 4.935350695470477 absolute error 1.4566126083082054e-13 relative error 2.9513862300506536e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.379999999999963 y[1] (closed_form) 4.974901627494601 y[1] (numeric) 4.97490162749475 absolute error 1.4921397450962104e-13 relative error 2.99933517649808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999962 y[1] (closed_form) 5.014850052994049 y[1] (numeric) 5.014850052994205 absolute error 1.5543122344752192e-13 relative error 3.0994191611915453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999608 y[1] (closed_form) 5.055199966844516 y[1] (numeric) 5.055199966844677 absolute error 1.616484723854228e-13 relative error 3.197667222773082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999597 y[1] (closed_form) 5.095955404071011 y[1] (numeric) 5.095955404071178 absolute error 1.6697754290362354e-13 relative error 3.2766680565970026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999586 y[1] (closed_form) 5.137120440251222 y[1] (numeric) 5.137120440251392 absolute error 1.7053025658242404e-13 relative error 3.3195689796613873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999575 y[1] (closed_form) 5.1786991919230685 y[1] (numeric) 5.178699191923246 absolute error 1.7763568394002505e-13 relative error 3.4301216841687507e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999564 y[1] (closed_form) 5.220695816996369 y[1] (numeric) 5.220695816996551 absolute error 1.8207657603852567e-13 relative error 3.4875921222179166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999553 y[1] (closed_form) 5.263114515168627 y[1] (numeric) 5.263114515168817 absolute error 1.900701818158268e-13 relative error 3.6113632197823664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999542 y[1] (closed_form) 5.305959528345009 y[1] (numeric) 5.305959528345205 absolute error 1.9539925233402755e-13 relative error 3.682637443617571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999531 y[1] (closed_form) 5.349235141062537 y[1] (numeric) 5.349235141062739 absolute error 2.0161650127192843e-13 relative error 3.769071576686768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.479999999999952 y[1] (closed_form) 5.392945680918546 y[1] (numeric) 5.392945680918754 absolute error 2.0872192862952943e-13 relative error 3.870276857562919e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999951 y[1] (closed_form) 5.437095519003447 y[1] (numeric) 5.437095519003662 absolute error 2.149391775674303e-13 relative error 3.953198482833092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999498 y[1] (closed_form) 5.48168907033784 y[1] (numeric) 5.481689070338063 absolute error 2.2293278334473143e-13 relative error 4.0668629775273256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999487 y[1] (closed_form) 5.5267307943140205 y[1] (numeric) 5.5267307943142505 absolute error 2.3003821070233244e-13 relative error 4.162283622335994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999476 y[1] (closed_form) 5.57222519514192 y[1] (numeric) 5.572225195142158 absolute error 2.3803181647963356e-13 relative error 4.271755145272284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999465 y[1] (closed_form) 5.618176822299533 y[1] (numeric) 5.6181768222997786 absolute error 2.4513724383723456e-13 relative error 4.363288155407314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999454 y[1] (closed_form) 5.664590270987872 y[1] (numeric) 5.664590270988125 absolute error 2.531308496145357e-13 relative error 4.4686524091775335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999443 y[1] (closed_form) 5.711470182590479 y[1] (numeric) 5.71147018259074 absolute error 2.611244553918368e-13 relative error 4.57193064209261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999432 y[1] (closed_form) 5.758821245137584 y[1] (numeric) 5.758821245137853 absolute error 2.6911806116913795e-13 relative error 4.673144897427849e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999942 y[1] (closed_form) 5.8066481937749 y[1] (numeric) 5.806648193775178 absolute error 2.779998453661392e-13 relative error 4.787613027153477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.579999999999941 y[1] (closed_form) 5.854955811237147 y[1] (numeric) 5.854955811237434 absolute error 2.8688162956314045e-13 relative error 4.8998086204603245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.58999999999994 y[1] (closed_form) 5.903748928326327 y[1] (numeric) 5.903748928326622 absolute error 2.948752353404416e-13 relative error 4.994711647130236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999388 y[1] (closed_form) 5.953032424394812 y[1] (numeric) 5.953032424395114 absolute error 3.019806626980426e-13 relative error 5.0727199378347426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999377 y[1] (closed_form) 6.002811227833276 y[1] (numeric) 6.002811227833587 absolute error 3.1086244689504383e-13 relative error 5.178614404092299e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999366 y[1] (closed_form) 6.053090316563547 y[1] (numeric) 6.0530903165638685 absolute error 3.2152058793144533e-13 relative error 5.3116766992827326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999355 y[1] (closed_form) 6.103874718536397 y[1] (numeric) 6.103874718536726 absolute error 3.2951419370874646e-13 relative error 5.398442938353071e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999344 y[1] (closed_form) 6.155169512234343 y[1] (numeric) 6.155169512234682 absolute error 3.3928415632544784e-13 relative error 5.512182169005558e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999333 y[1] (closed_form) 6.206979827179501 y[1] (numeric) 6.20697982717985 absolute error 3.490541189421492e-13 relative error 5.623574244815325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999322 y[1] (closed_form) 6.259310844446542 y[1] (numeric) 6.2593108444469 absolute error 3.5793590313915047e-13 relative error 5.718455466334964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.669999999999931 y[1] (closed_form) 6.312167797180801 y[1] (numeric) 6.31216779718117 absolute error 3.6859404417555197e-13 relative error 5.839420877565658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.67999999999993 y[1] (closed_form) 6.365555971121599 y[1] (numeric) 6.365555971121976 absolute error 3.774758283725532e-13 relative error 5.929974225111443e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999929 y[1] (closed_form) 6.4194807051308205 y[1] (numeric) 6.419480705131207 absolute error 3.863576125695545e-13 relative error 6.018518168623127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999278 y[1] (closed_form) 6.473947391726805 y[1] (numeric) 6.473947391727202 absolute error 3.97015753605956e-13 relative error 6.132514362308703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999267 y[1] (closed_form) 6.528961477623599 y[1] (numeric) 6.528961477624005 absolute error 4.0589753780295723e-13 relative error 6.216877510980432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999256 y[1] (closed_form) 6.584528464275638 y[1] (numeric) 6.584528464276054 absolute error 4.156675004196586e-13 relative error 6.312790698299245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999245 y[1] (closed_form) 6.640653908427895 y[1] (numeric) 6.640653908428322 absolute error 4.2721381987576024e-13 relative error 6.4333095169071774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999234 y[1] (closed_form) 6.697343422671555 y[1] (numeric) 6.697343422671993 absolute error 4.3787196091216174e-13 relative error 6.537994743257404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999223 y[1] (closed_form) 6.754602676005283 y[1] (numeric) 6.754602676005733 absolute error 4.503064587879635e-13 relative error 6.666660947913486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999212 y[1] (closed_form) 6.812437394402131 y[1] (numeric) 6.812437394402592 absolute error 4.618527782440651e-13 relative error 6.7795526256663384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.76999999999992 y[1] (closed_form) 6.870853361382132 y[1] (numeric) 6.870853361382605 absolute error 4.733990977001667e-13 relative error 6.889960719594493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999919 y[1] (closed_form) 6.929856418590665 y[1] (numeric) 6.92985641859115 absolute error 4.849454171562684e-13 relative error 6.997914355848839e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999179 y[1] (closed_form) 6.989452466382621 y[1] (numeric) 6.989452466383118 absolute error 4.9649173661237e-13 relative error 7.103442494249173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999168 y[1] (closed_form) 7.049647464412443 y[1] (numeric) 7.04964746441295 absolute error 5.071498776487715e-13 relative error 7.193975020863546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999157 y[1] (closed_form) 7.110447432230095 y[1] (numeric) 7.1104474322306155 absolute error 5.204725539442734e-13 relative error 7.319828448278595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999146 y[1] (closed_form) 7.171858449883026 y[1] (numeric) 7.171858449883559 absolute error 5.329070518200751e-13 relative error 7.430529416385329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999135 y[1] (closed_form) 7.233886658524178 y[1] (numeric) 7.233886658524724 absolute error 5.453415496958769e-13 relative error 7.538707411917549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999124 y[1] (closed_form) 7.296538261026105 y[1] (numeric) 7.2965382610266625 absolute error 5.577760475716786e-13 relative error 7.644392828733542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999113 y[1] (closed_form) 7.359819522601267 y[1] (numeric) 7.359819522601836 absolute error 5.693223670277803e-13 relative error 7.735547934014529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999102 y[1] (closed_form) 7.423736771428557 y[1] (numeric) 7.423736771429139 absolute error 5.81756864903582e-13 relative error 7.836442519656229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.869999999999909 y[1] (closed_form) 7.488296399286122 y[1] (numeric) 7.488296399286716 absolute error 5.941913627793838e-13 relative error 7.934933809992211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999908 y[1] (closed_form) 7.553504862190546 y[1] (numeric) 7.5535048621911525 absolute error 6.066258606551855e-13 relative error 8.031051435363234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999069 y[1] (closed_form) 7.619368681042461 y[1] (numeric) 7.619368681043082 absolute error 6.208367153703875e-13 relative error 8.148138531674862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999058 y[1] (closed_form) 7.68589444227864 y[1] (numeric) 7.685894442279273 absolute error 6.332712132461893e-13 relative error 8.239395141347311e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999047 y[1] (closed_form) 7.7530887985306425 y[1] (numeric) 7.753088798531291 absolute error 6.483702463810914e-13 relative error 8.36273468845049e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999999036 y[1] (closed_form) 7.820958469290092 y[1] (numeric) 7.820958469290755 absolute error 6.625811010962934e-13 relative error 8.471865739960078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999999025 y[1] (closed_form) 7.889510241580621 y[1] (numeric) 7.889510241581298 absolute error 6.767919558114954e-13 relative error 8.578377302111262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999999014 y[1] (closed_form) 7.9587509706365855 y[1] (numeric) 7.958750970637277 absolute error 6.918909889463976e-13 relative error 8.693461970340506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999999003 y[1] (closed_form) 8.028687580588592 y[1] (numeric) 8.028687580589297 absolute error 7.052136652418994e-13 relative error 8.783673024554275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998992 y[1] (closed_form) 8.099327065155917 y[1] (numeric) 8.099327065156636 absolute error 7.194245199571014e-13 relative error 8.882522142513973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.969999999999898 y[1] (closed_form) 8.170676488345883 y[1] (numeric) 8.170676488346617 absolute error 7.336353746723034e-13 relative error 8.978881684016163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999897 y[1] (closed_form) 8.242742985160266 y[1] (numeric) 8.242742985161014 absolute error 7.478462293875054e-13 relative error 9.072783547101764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998959 y[1] (closed_form) 8.315533762308805 y[1] (numeric) 8.31553376230957 absolute error 7.65609797781508e-13 relative error 9.206983215578174e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998948 y[1] (closed_form) 8.389056098929872 y[1] (numeric) 8.389056098930656 absolute error 7.833733661755105e-13 relative error 9.338039428243177e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998936 y[1] (closed_form) 8.463317347318402 y[1] (numeric) 8.4633173473192 absolute error 7.975842208907125e-13 relative error 9.424014108881628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998925 y[1] (closed_form) 8.538324933661112 y[1] (numeric) 8.538324933661926 absolute error 8.135714324453147e-13 relative error 9.528466517336754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998914 y[1] (closed_form) 8.614086358779147 y[1] (numeric) 8.614086358779979 absolute error 8.313350008393172e-13 relative error 9.650878412567253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998903 y[1] (closed_form) 8.690609198878155 y[1] (numeric) 8.690609198879002 absolute error 8.473222123939195e-13 relative error 9.749859796978303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998892 y[1] (closed_form) 8.767901106305912 y[1] (numeric) 8.767901106306775 absolute error 8.633094239485217e-13 relative error 9.846249558262307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999888 y[1] (closed_form) 8.845969810317571 y[1] (numeric) 8.845969810318453 absolute error 8.810729923425242e-13 relative error 9.9601627773461e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999887 y[1] (closed_form) 8.924823117848593 y[1] (numeric) 8.924823117849494 absolute error 9.00612917575927e-13 relative error 1.0091101030056354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999886 y[1] (closed_form) 9.00446891429544 y[1] (numeric) 9.00446891429636 absolute error 9.201528428093297e-13 relative error 1.0218846348045032e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999885 y[1] (closed_form) 9.08491516430413 y[1] (numeric) 9.084915164305068 absolute error 9.379164112033322e-13 relative error 1.032388739180013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998837 y[1] (closed_form) 9.166169912566701 y[1] (numeric) 9.166169912567659 absolute error 9.57456336436735e-13 relative error 1.0445544273885591e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998826 y[1] (closed_form) 9.248241284625694 y[1] (numeric) 9.248241284626673 absolute error 9.78772618509538e-13 relative error 1.0583337830260254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998815 y[1] (closed_form) 9.331137487686705 y[1] (numeric) 9.331137487687704 absolute error 9.983125437429408e-13 relative error 1.0698722905544002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998804 y[1] (closed_form) 9.414866811439124 y[1] (numeric) 9.414866811440143 absolute error 1.0196288258157438e-12 relative error 1.0829986724579982e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998793 y[1] (closed_form) 9.499437628885097 y[1] (numeric) 9.499437628886136 absolute error 1.0391687510491465e-12 relative error 1.0939266003382441e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998782 y[1] (closed_form) 9.584858397176848 y[1] (numeric) 9.584858397177907 absolute error 1.0587086762825493e-12 relative error 1.1045637112326922e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999877 y[1] (closed_form) 9.67113765846239 y[1] (numeric) 9.67113765846347 absolute error 1.0800249583553523e-12 relative error 1.1167506828013293e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999876 y[1] (closed_form) 9.758284040739749 y[1] (numeric) 9.758284040740849 absolute error 1.099564883588755e-12 relative error 1.126801473494924e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999875 y[1] (closed_form) 9.846306258719776 y[1] (numeric) 9.846306258720896 absolute error 1.1191048088221578e-12 relative error 1.1365732279869838e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999874 y[1] (closed_form) 9.935213114697621 y[1] (numeric) 9.935213114698765 absolute error 1.1439738045737613e-12 relative error 1.1514335841285859e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998727 y[1] (closed_form) 10.025013499432973 y[1] (numeric) 10.025013499434134 absolute error 1.1617373729677638e-12 relative error 1.158838711821658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998716 y[1] (closed_form) 10.115716393039136 y[1] (numeric) 10.11571639304032 absolute error 1.1830536550405668e-12 relative error 1.1695203869640453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998705 y[1] (closed_form) 10.207330865881058 y[1] (numeric) 10.207330865882264 absolute error 1.20614629395277e-12 relative error 1.181647102264927e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998694 y[1] (closed_form) 10.29986607948237 y[1] (numeric) 10.2998660794836 absolute error 1.2292389328649733e-12 relative error 1.1934513743956852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998683 y[1] (closed_form) 10.393331287441546 y[1] (numeric) 10.393331287442797 absolute error 1.2505552149377763e-12 relative error 1.2032284744438438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999867 y[1] (closed_form) 10.487735836357265 y[1] (numeric) 10.487735836358539 absolute error 1.2736478538499796e-12 relative error 1.2144164133450936e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999866 y[1] (closed_form) 10.583089166763095 y[1] (numeric) 10.583089166764394 absolute error 1.298516849601583e-12 relative error 1.2269733620686696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999865 y[1] (closed_form) 10.679400814071535 y[1] (numeric) 10.679400814072856 absolute error 1.3216094885137863e-12 relative error 1.2375314978087436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999864 y[1] (closed_form) 10.776680409527575 y[1] (numeric) 10.776680409528922 absolute error 1.3464784842653899e-12 relative error 1.2494371486371435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999863 y[1] (closed_form) 10.87493768117183 y[1] (numeric) 10.874937681173199 absolute error 1.3695711231775931e-12 relative error 1.2593829623031136e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998617 y[1] (closed_form) 10.974182454813342 y[1] (numeric) 10.974182454814736 absolute error 1.3944401189291966e-12 relative error 1.270655125947525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998606 y[1] (closed_form) 11.074424655012182 y[1] (numeric) 11.074424655013603 absolute error 1.4210854715202004e-12 relative error 1.2832138154256441e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998595 y[1] (closed_form) 11.175674306071905 y[1] (numeric) 11.175674306073354 absolute error 1.4495071809506044e-12 relative error 1.2970198855590004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998584 y[1] (closed_form) 11.277941533041993 y[1] (numeric) 11.277941533043467 absolute error 1.4743761767022079e-12 relative error 1.3073096472282608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998573 y[1] (closed_form) 11.381236562730363 y[1] (numeric) 11.381236562731862 absolute error 1.4992451724538114e-12 relative error 1.3172955014073988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999856 y[1] (closed_form) 11.485569724726066 y[1] (numeric) 11.485569724727593 absolute error 1.5276668818842154e-12 relative error 1.3300749710268732e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999855 y[1] (closed_form) 11.590951452432247 y[1] (numeric) 11.590951452433798 absolute error 1.5507595207964187e-12 relative error 1.337905285136025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999854 y[1] (closed_form) 11.69739228410949 y[1] (numeric) 11.697392284111073 absolute error 1.5827339439056232e-12 relative error 1.3530656281876717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999853 y[1] (closed_form) 11.80490286392967 y[1] (numeric) 11.80490286393128 absolute error 1.6111556533360272e-12 relative error 1.3648190687438645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999852 y[1] (closed_form) 11.913493943040356 y[1] (numeric) 11.913493943041995 absolute error 1.6395773627664312e-12 relative error 1.3762355280536673e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998507 y[1] (closed_form) 12.023176380639956 y[1] (numeric) 12.023176380641624 absolute error 1.6679990721968352e-12 relative error 1.3873198058399047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998496 y[1] (closed_form) 12.13396114506363 y[1] (numeric) 12.133961145065324 absolute error 1.694644424787839e-12 relative error 1.3966127009375325e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998485 y[1] (closed_form) 12.245859314880143 y[1] (numeric) 12.245859314881866 absolute error 1.723066134218243e-12 relative error 1.4070602069750364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998474 y[1] (closed_form) 12.358882079999724 y[1] (numeric) 12.358882080001479 absolute error 1.7550405573274475e-12 relative error 1.4200641659714636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998463 y[1] (closed_form) 12.47304074279307 y[1] (numeric) 12.473040742794852 absolute error 1.7816859099184512e-12 relative error 1.4284294797544938e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999845 y[1] (closed_form) 12.588346719221596 y[1] (numeric) 12.588346719223411 absolute error 1.815436689867056e-12 relative error 1.4421565677842356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999844 y[1] (closed_form) 12.70481153997903 y[1] (numeric) 12.704811539980875 absolute error 1.8456347561368602e-12 relative error 1.452705339492117e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999843 y[1] (closed_form) 12.822446851644505 y[1] (numeric) 12.822446851646383 absolute error 1.8776091792460647e-12 relative error 1.464314261521199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999842 y[1] (closed_form) 12.941264417847215 y[1] (numeric) 12.941264417849126 absolute error 1.9113599591946695e-12 relative error 1.4769499312283005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999841 y[1] (closed_form) 13.061276120442797 y[1] (numeric) 13.061276120444742 absolute error 1.9451107391432743e-12 relative error 1.4892195228143848e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998397 y[1] (closed_form) 13.182493960701521 y[1] (numeric) 13.182493960703498 absolute error 1.9770851622524788e-12 relative error 1.4997808215550027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998386 y[1] (closed_form) 13.304930060508426 y[1] (numeric) 13.304930060510438 absolute error 2.0126122990404838e-12 relative error 1.512681607409799e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998375 y[1] (closed_form) 13.428596663575524 y[1] (numeric) 13.42859666357757 absolute error 2.0463630789890885e-12 relative error 1.5238845355596673e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998364 y[1] (closed_form) 13.553506136666178 y[1] (numeric) 13.55350613666826 absolute error 2.0818902157770935e-12 relative error 1.5360528816561898e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998353 y[1] (closed_form) 13.679670970831788 y[1] (numeric) 13.679670970833904 absolute error 2.1156409957256983e-12 relative error 1.546558393280608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.549999999999834 y[1] (closed_form) 13.807103782660908 y[1] (numeric) 13.807103782663058 absolute error 2.149391775674303e-12 relative error 1.556728919770654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999833 y[1] (closed_form) 13.935817315540916 y[1] (numeric) 13.935817315543105 absolute error 2.1884716261411086e-12 relative error 1.5703934520586556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999832 y[1] (closed_form) 14.065824440932364 y[1] (numeric) 14.065824440934584 absolute error 2.220446049250313e-12 relative error 1.5786106662818047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999831 y[1] (closed_form) 14.197138159656125 y[1] (numeric) 14.197138159658385 absolute error 2.2595258997171186e-12 relative error 1.5915361774375007e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998298 y[1] (closed_form) 14.329771603193505 y[1] (numeric) 14.3297716031958 absolute error 2.2950530365051236e-12 relative error 1.6015977784277124e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998287 y[1] (closed_form) 14.463738034999384 y[1] (numeric) 14.463738035001716 absolute error 2.332356530132529e-12 relative error 1.6125544617087833e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998276 y[1] (closed_form) 14.599050851828581 y[1] (numeric) 14.599050851830953 absolute error 2.3714363805993344e-12 relative error 1.6243770945576943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998265 y[1] (closed_form) 14.735723585075542 y[1] (numeric) 14.73572358507795 absolute error 2.4087398742267396e-12 relative error 1.6346261249541424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998254 y[1] (closed_form) 14.873769902127483 y[1] (numeric) 14.873769902129931 absolute error 2.447819724693545e-12 relative error 1.6457291868845025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998243 y[1] (closed_form) 15.01320360773115 y[1] (numeric) 15.013203607733638 absolute error 2.488675931999751e-12 relative error 1.6576581501353852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999823 y[1] (closed_form) 15.1540386453733 y[1] (numeric) 15.154038645375831 absolute error 2.531308496145357e-12 relative error 1.670385403773663e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999822 y[1] (closed_form) 15.296289098675057 y[1] (numeric) 15.29628909867763 absolute error 2.5721647034515627e-12 relative error 1.6815612511366302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999821 y[1] (closed_form) 15.439969192800296 y[1] (numeric) 15.439969192802911 absolute error 2.6147972675971687e-12 relative error 1.6935249254360277e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.67999999999982 y[1] (closed_form) 15.585093295878162 y[1] (numeric) 15.58509329588082 absolute error 2.659206188582175e-12 relative error 1.7062497722008912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998188 y[1] (closed_form) 15.731675920439901 y[1] (numeric) 15.731675920442603 absolute error 2.701838752727781e-12 relative error 1.7174513169428615e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998177 y[1] (closed_form) 15.87973172487012 y[1] (numeric) 15.879731724872869 absolute error 2.7480240305521875e-12 relative error 1.7305229572917508e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998166 y[1] (closed_form) 16.029275514872644 y[1] (numeric) 16.029275514875433 absolute error 2.7888802378583932e-12 relative error 1.7398666803566708e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998155 y[1] (closed_form) 16.180322244951093 y[1] (numeric) 16.180322244953928 absolute error 2.8350655156827997e-12 relative error 1.7521687595359565e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998144 y[1] (closed_form) 16.332887019904348 y[1] (numeric) 16.33288701990723 absolute error 2.8812507935072063e-12 relative error 1.764079302082921e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998133 y[1] (closed_form) 16.486985096337044 y[1] (numeric) 16.486985096339964 absolute error 2.9203306439740118e-12 relative error 1.771294525293669e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999812 y[1] (closed_form) 16.642631884185235 y[1] (numeric) 16.6426318841882 absolute error 2.9665159217984183e-12 relative error 1.7824800442875678e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999811 y[1] (closed_form) 16.799842948257414 y[1] (numeric) 16.799842948260427 absolute error 3.0127011996228248e-12 relative error 1.79329128784226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.76999999999981 y[1] (closed_form) 16.958634009790998 y[1] (numeric) 16.958634009794057 absolute error 3.0588864774472313e-12 relative error 1.8037340010293257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999809 y[1] (closed_form) 17.119020948024463 y[1] (numeric) 17.119020948027572 absolute error 3.1086244689504383e-12 relative error 1.8158891670199014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998077 y[1] (closed_form) 17.2810198017853 y[1] (numeric) 17.281019801788453 absolute error 3.154809746774845e-12 relative error 1.8255923452208082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998066 y[1] (closed_form) 17.444646771093872 y[1] (numeric) 17.444646771097073 absolute error 3.2009950245992513e-12 relative error 1.834944018415646e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998055 y[1] (closed_form) 17.60991821878347 y[1] (numeric) 17.609918218786717 absolute error 3.247180302423658e-12 relative error 1.843949677722001e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998044 y[1] (closed_form) 17.776850672136593 y[1] (numeric) 17.77685067213989 absolute error 3.296918293926865e-12 relative error 1.8546132578446245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999998033 y[1] (closed_form) 17.945460824537683 y[1] (numeric) 17.94546082454104 absolute error 3.3573144264664734e-12 relative error 1.8708432507210167e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999998022 y[1] (closed_form) 18.115765537142494 y[1] (numeric) 18.1157655371459 absolute error 3.4070524179696804e-12 relative error 1.8807112572660813e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999801 y[1] (closed_form) 18.2877818405642 y[1] (numeric) 18.287781840567657 absolute error 3.4567904094728874e-12 relative error 1.8902185292944423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8599999999998 y[1] (closed_form) 18.461526936576497 y[1] (numeric) 18.461526936580015 absolute error 3.517186542012496e-12 relative error 1.9051438995786134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999799 y[1] (closed_form) 18.637018199833776 y[1] (numeric) 18.637018199837343 absolute error 3.566924533515703e-12 relative error 1.9138922843073236e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999798 y[1] (closed_form) 18.8142731796086 y[1] (numeric) 18.814273179612226 absolute error 3.6273206660553114e-12 relative error 1.927962154810581e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997967 y[1] (closed_form) 18.993309601546656 y[1] (numeric) 18.99330960155035 absolute error 3.694822225952521e-12 relative error 1.9453282779382723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997956 y[1] (closed_form) 19.174145369439348 y[1] (numeric) 19.174145369443103 absolute error 3.7552183584921295e-12 relative error 1.958480175328895e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997945 y[1] (closed_form) 19.356798567014152 y[1] (numeric) 19.356798567017965 absolute error 3.8120617773529375e-12 relative error 1.9693658350348585e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997934 y[1] (closed_form) 19.54128745974304 y[1] (numeric) 19.54128745974691 absolute error 3.872457909892546e-12 relative error 1.9816800289490587e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997923 y[1] (closed_form) 19.727630496669025 y[1] (numeric) 19.727630496672955 absolute error 3.929301328753354e-12 relative error 1.991775611073418e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997912 y[1] (closed_form) 19.91584631225109 y[1] (numeric) 19.915846312255077 absolute error 3.986144747614162e-12 relative error 2.001494028984404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.94999999999979 y[1] (closed_form) 20.105953728227636 y[1] (numeric) 20.105953728231682 absolute error 4.0465408801537706e-12 relative error 2.0126082725798047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999789 y[1] (closed_form) 20.297971755498686 y[1] (numeric) 20.297971755502793 absolute error 4.106937012693379e-12 relative error 2.0233238385410685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999788 y[1] (closed_form) 20.491919596026985 y[1] (numeric) 20.491919596031153 absolute error 4.1673331452329876e-12 relative error 2.0336470313112873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999787 y[1] (closed_form) 20.687816644758204 y[1] (numeric) 20.68781664476243 absolute error 4.227729277772596e-12 relative error 2.043584081572862e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997857 y[1] (closed_form) 20.885682491560466 y[1] (numeric) 20.88568249156476 absolute error 4.295230837669806e-12 relative error 2.0565432034147947e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997846 y[1] (closed_form) 21.08553692318334 y[1] (numeric) 21.085536923187703 absolute error 4.362732397567015e-12 relative error 2.069063933947176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997835 y[1] (closed_form) 21.28739992523654 y[1] (numeric) 21.287399925240965 absolute error 4.426681243785424e-12 relative error 2.0794842297943235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997824 y[1] (closed_form) 21.491291684188482 y[1] (numeric) 21.491291684192976 absolute error 4.494182803682634e-12 relative error 2.091164584113426e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997813 y[1] (closed_form) 21.697232589384978 y[1] (numeric) 21.69723258938954 absolute error 4.561684363579843e-12 relative error 2.1024268163173833e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.03999999999978 y[1] (closed_form) 21.90524323508816 y[1] (numeric) 21.905243235092797 absolute error 4.636291350834654e-12 relative error 2.116521282634365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999779 y[1] (closed_form) 22.115344422535948 y[1] (numeric) 22.11534442254066 absolute error 4.710898338089464e-12 relative error 2.130149206850684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999778 y[1] (closed_form) 22.327557162022167 y[1] (numeric) 22.32755716202695 absolute error 4.781952611665474e-12 relative error 2.1417267356947083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999777 y[1] (closed_form) 22.541902674997612 y[1] (numeric) 22.541902675002465 absolute error 4.853006885241484e-12 relative error 2.152882547321174e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999776 y[1] (closed_form) 22.7584023961922 y[1] (numeric) 22.75840239619713 absolute error 4.931166586175095e-12 relative error 2.1667454948420057e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997747 y[1] (closed_form) 22.97707797575847 y[1] (numeric) 22.97707797576347 absolute error 5.002220859751105e-12 relative error 2.177048302237823e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997736 y[1] (closed_form) 23.19795128143661 y[1] (numeric) 23.19795128144168 absolute error 5.069722419648315e-12 relative error 2.1854181682436724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997725 y[1] (closed_form) 23.421044400741245 y[1] (numeric) 23.42104440074639 absolute error 5.144329406903125e-12 relative error 2.1964560242840043e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997714 y[1] (closed_form) 23.646379643170217 y[1] (numeric) 23.646379643175443 absolute error 5.226041821515537e-12 relative error 2.2100811626886717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997703 y[1] (closed_form) 23.873979542435556 y[1] (numeric) 23.873979542440857 absolute error 5.300648808770347e-12 relative error 2.220261938043694e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999769 y[1] (closed_form) 24.10386685871685 y[1] (numeric) 24.103866858722235 absolute error 5.3859139370615594e-12 relative error 2.2344605405558876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999768 y[1] (closed_form) 24.3360645809373 y[1] (numeric) 24.336064580942768 absolute error 5.467626351673971e-12 relative error 2.2467175551287866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999767 y[1] (closed_form) 24.570595929062634 y[1] (numeric) 24.57059592906818 absolute error 5.545786052607582e-12 relative error 2.257082436510181e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999766 y[1] (closed_form) 24.807484356423096 y[1] (numeric) 24.80748435642873 absolute error 5.6346038945775945e-12 relative error 2.2713322373288913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999765 y[1] (closed_form) 25.04675355205884 y[1] (numeric) 25.046753552064562 absolute error 5.723421736547607e-12 relative error 2.2850952418450824e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997637 y[1] (closed_form) 25.288427443088818 y[1] (numeric) 25.288427443094623 absolute error 5.8051341511600185e-12 relative error 2.2955694513723227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997626 y[1] (closed_form) 25.532530197103526 y[1] (numeric) 25.532530197109416 absolute error 5.8903992794512305e-12 relative error 2.3070174534130003e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997615 y[1] (closed_form) 25.779086224581786 y[1] (numeric) 25.779086224587765 absolute error 5.979217121421243e-12 relative error 2.3194061532405012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997604 y[1] (closed_form) 26.02812018133181 y[1] (numeric) 26.028120181337883 absolute error 6.071587677070056e-12 relative error 2.3327031052456835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997593 y[1] (closed_form) 26.279656970956808 y[1] (numeric) 26.27965697096297 absolute error 6.163958232718869e-12 relative error 2.3455246160674856e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999758 y[1] (closed_form) 26.53372174734535 y[1] (numeric) 26.5337217473516 absolute error 6.249223361010081e-12 relative error 2.3552004579362502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999757 y[1] (closed_form) 26.7903399171868 y[1] (numeric) 26.79033991719314 absolute error 6.341593916658894e-12 relative error 2.367119617093986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999756 y[1] (closed_form) 27.049537142511983 y[1] (numeric) 27.049537142518417 absolute error 6.433964472307707e-12 relative error 2.3785857918418378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999755 y[1] (closed_form) 27.311339343259444 y[1] (numeric) 27.311339343265967 absolute error 6.52278231427772e-12 relative error 2.388305543092148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999754 y[1] (closed_form) 27.575772699867414 y[1] (numeric) 27.57577269987404 absolute error 6.625811010962934e-12 relative error 2.4027653125363887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997527 y[1] (closed_form) 27.842863655891925 y[1] (numeric) 27.842863655898647 absolute error 6.721734280290548e-12 relative error 2.4141677247584905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997516 y[1] (closed_form) 28.11263892065115 y[1] (numeric) 28.11263892065797 absolute error 6.821210263296962e-12 relative error 2.426385613442428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997505 y[1] (closed_form) 28.385125471896384 y[1] (numeric) 28.3851254719033 absolute error 6.917133532624575e-12 relative error 2.4368867206428622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997494 y[1] (closed_form) 28.66035055850982 y[1] (numeric) 28.660350558516836 absolute error 7.016609515630989e-12 relative error 2.448193891176122e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997483 y[1] (closed_form) 28.938341703229472 y[1] (numeric) 28.93834170323659 absolute error 7.116085498637403e-12 relative error 2.459050892278067e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999747 y[1] (closed_form) 29.21912670540148 y[1] (numeric) 29.219126705408698 absolute error 7.219114195322618e-12 relative error 2.4706810262019516e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999746 y[1] (closed_form) 29.502733643760042 y[1] (numeric) 29.50273364376736 absolute error 7.318590178329032e-12 relative error 2.4806481550827225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999745 y[1] (closed_form) 29.789190879235335 y[1] (numeric) 29.789190879242764 absolute error 7.428724302371847e-12 relative error 2.4937650480295748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999744 y[1] (closed_form) 30.078527057789625 y[1] (numeric) 30.07852705779716 absolute error 7.535305712735862e-12 relative error 2.505211009255321e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997428 y[1] (closed_form) 30.37077111328188 y[1] (numeric) 30.37077111328952 absolute error 7.641887123099877e-12 relative error 2.5161979241804282e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997417 y[1] (closed_form) 30.66595227036119 y[1] (numeric) 30.665952270368937 absolute error 7.748468533463893e-12 relative error 2.526733383379335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997406 y[1] (closed_form) 30.96410004738924 y[1] (numeric) 30.9641000473971 absolute error 7.858602657506708e-12 relative error 2.5379722470472097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997395 y[1] (closed_form) 31.265244259392198 y[1] (numeric) 31.265244259400163 absolute error 7.965184067870723e-12 relative error 2.547616133041389e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997384 y[1] (closed_form) 31.56941502104221 y[1] (numeric) 31.569415021050297 absolute error 8.08597633294994e-12 relative error 2.5613323299023218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997373 y[1] (closed_form) 31.876642749668928 y[1] (numeric) 31.876642749677128 absolute error 8.199663170671556e-12 relative error 2.572310777852137e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999736 y[1] (closed_form) 32.18695816830123 y[1] (numeric) 32.18695816830956 absolute error 8.327560863108374e-12 relative error 2.5872469276421492e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999735 y[1] (closed_form) 32.500392308739585 y[1] (numeric) 32.50039230874804 absolute error 8.455458555545192e-12 relative error 2.601648150958307e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999734 y[1] (closed_form) 32.81697651465923 y[1] (numeric) 32.81697651466779 absolute error 8.562039965909207e-12 relative error 2.6090276665446535e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999733 y[1] (closed_form) 33.13674244474457 y[1] (numeric) 33.13674244475324 absolute error 8.668621376273222e-12 relative error 2.6160149540130944e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997318 y[1] (closed_form) 33.45972207585509 y[1] (numeric) 33.45972207586389 absolute error 8.79651906871004e-12 relative error 2.6289874879318578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997307 y[1] (closed_form) 33.785947706223055 y[1] (numeric) 33.78594770623198 absolute error 8.924416761146858e-12 relative error 2.6414581703454966e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997295 y[1] (closed_form) 34.11545195868336 y[1] (numeric) 34.11545195869241 absolute error 9.052314453583676e-12 relative error 2.6534353009735237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997284 y[1] (closed_form) 34.448267783935826 y[1] (numeric) 34.44826778394501 absolute error 9.187317573378095e-12 relative error 2.6669897107750636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997273 y[1] (closed_form) 34.78442846384034 y[1] (numeric) 34.784428463849665 absolute error 9.322320693172514e-12 relative error 2.680026984736403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997262 y[1] (closed_form) 35.12396761474503 y[1] (numeric) 35.12396761475447 absolute error 9.443112958251731e-12 relative error 2.68850975545471e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999725 y[1] (closed_form) 35.46691919084791 y[1] (numeric) 35.466919190857496 absolute error 9.585221505403752e-12 relative error 2.7025808060253448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999724 y[1] (closed_form) 35.813317487592414 y[1] (numeric) 35.813317487602134 absolute error 9.72022462519817e-12 relative error 2.7141368929493223e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999723 y[1] (closed_form) 36.163197145096866 y[1] (numeric) 36.16319714510672 absolute error 9.85522774499259e-12 relative error 2.7252091969221245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999722 y[1] (closed_form) 36.51659315161859 y[1] (numeric) 36.516593151628584 absolute error 9.990230864787009e-12 relative error 2.7358058358037687e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997207 y[1] (closed_form) 36.873540847052745 y[1] (numeric) 36.87354084706288 absolute error 1.0132339411939029e-11 relative error 2.747861794441391e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997196 y[1] (closed_form) 37.23407592646631 y[1] (numeric) 37.234075926476585 absolute error 1.0274447959091049e-11 relative error 2.7594206928572867e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997185 y[1] (closed_form) 37.598234443667685 y[1] (numeric) 37.59823444367811 absolute error 1.042366193360067e-11 relative error 2.772380694954741e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997174 y[1] (closed_form) 37.96605281481206 y[1] (numeric) 37.966052814822625 absolute error 1.056577048075269e-11 relative error 2.782952057800058e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997163 y[1] (closed_form) 38.33756782204306 y[1] (numeric) 38.33756782205378 absolute error 1.071498445526231e-11 relative error 2.7949045972346437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997152 y[1] (closed_form) 38.71281661717101 y[1] (numeric) 38.71281661718187 absolute error 1.0864198429771932e-11 relative error 2.8063570101879733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.639999999999714 y[1] (closed_form) 39.09183672538813 y[1] (numeric) 39.09183672539913 absolute error 1.1006306976923952e-11 relative error 2.815500088737433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999713 y[1] (closed_form) 39.47466604902108 y[1] (numeric) 39.474666049032244 absolute error 1.1162626378791174e-11 relative error 2.8277950128644577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999712 y[1] (closed_form) 39.86134287132127 y[1] (numeric) 39.86134287133258 absolute error 1.1311840353300795e-11 relative error 2.837797108295425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999711 y[1] (closed_form) 40.25190586029315 y[1] (numeric) 40.251905860304625 absolute error 1.1475265182525618e-11 relative error 2.8508625709187836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997097 y[1] (closed_form) 40.64639407256109 y[1] (numeric) 40.646394072572726 absolute error 1.1638690011750441e-11 relative error 2.8634003771584995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997086 y[1] (closed_form) 41.044846957275055 y[1] (numeric) 41.04484695728686 absolute error 1.1802114840975264e-11 relative error 2.87541938047923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997075 y[1] (closed_form) 41.44730436005556 y[1] (numeric) 41.44730436006753 absolute error 1.1965539670200087e-11 relative error 2.8869283189697038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997064 y[1] (closed_form) 41.853806526978275 y[1] (numeric) 41.853806526990404 absolute error 1.212896449942491e-11 relative error 2.897935816568268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997053 y[1] (closed_form) 42.26439410859864 y[1] (numeric) 42.26439410861094 absolute error 1.2299494756007334e-11 relative error 2.9101315694728053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.729999999999704 y[1] (closed_form) 42.67910816401697 y[1] (numeric) 42.679108164029444 absolute error 1.247713043994736e-11 relative error 2.9234749685952693e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999703 y[1] (closed_form) 43.0979901649844 y[1] (numeric) 43.09799016499705 absolute error 1.2647660696529783e-11 relative error 2.934628888287594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999702 y[1] (closed_form) 43.521082000050114 y[1] (numeric) 43.52108200006293 absolute error 1.2818190953112207e-11 relative error 2.945283151070887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999701 y[1] (closed_form) 43.94842597875018 y[1] (numeric) 43.948425978763176 absolute error 1.2995826637052232e-11 relative error 2.957063045519751e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7699999999997 y[1] (closed_form) 44.380064835838596 y[1] (numeric) 44.38006483585176 absolute error 1.3166356893634656e-11 relative error 2.9667277283926635e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996987 y[1] (closed_form) 44.816041735560766 y[1] (numeric) 44.816041735574125 absolute error 1.3358203432289883e-11 relative error 2.9806745341569015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996976 y[1] (closed_form) 45.25640027596999 y[1] (numeric) 45.25640027598353 absolute error 1.354294454358751e-11 relative error 2.992492655404251e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996965 y[1] (closed_form) 45.70118449328726 y[1] (numeric) 45.70118449330098 absolute error 1.3720580227527535e-11 relative error 3.002237333595338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996954 y[1] (closed_form) 46.15043886630497 y[1] (numeric) 46.15043886631888 absolute error 1.3912426766182762e-11 relative error 3.0145816828494785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996943 y[1] (closed_form) 46.60420832083479 y[1] (numeric) 46.6042083208489 absolute error 1.4104273304837989e-11 relative error 3.0263947855826056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999693 y[1] (closed_form) 47.06253823420034 y[1] (numeric) 47.062538234214635 absolute error 1.4296119843493216e-11 relative error 3.037685679499587e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999692 y[1] (closed_form) 47.52547443977488 y[1] (numeric) 47.52547443978937 absolute error 1.4487966382148443e-11 relative error 3.0484632826775565e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999691 y[1] (closed_form) 47.99306323156476 y[1] (numeric) 47.99306323157944 absolute error 1.467981292080367e-11 relative error 3.0587363948773414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.85999999999969 y[1] (closed_form) 48.46535136883881 y[1] (numeric) 48.46535136885369 absolute error 1.4878764886816498e-11 relative error 3.0699797827903336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999689 y[1] (closed_form) 48.94238608080433 y[1] (numeric) 48.942386080819404 absolute error 1.5070611425471725e-11 relative error 3.079255555826397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996877 y[1] (closed_form) 49.42421507133005 y[1] (numeric) 49.42421507134533 absolute error 1.5276668818842154e-11 relative error 3.0909279584500326e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996866 y[1] (closed_form) 49.910886523716556 y[1] (numeric) 49.91088652373203 absolute error 1.5475620784854982e-11 relative error 3.1006503516024116e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996855 y[1] (closed_form) 50.402449105514634 y[1] (numeric) 50.40244910553033 absolute error 1.5695889032940613e-11 relative error 3.114112371817919e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996844 y[1] (closed_form) 50.898951973392116 y[1] (numeric) 50.898951973408025 absolute error 1.5909051853668643e-11 relative error 3.12561481854975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996833 y[1] (closed_form) 51.400444778049525 y[1] (numeric) 51.40044477806564 absolute error 1.6115109247039072e-11 relative error 3.13520813226912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999682 y[1] (closed_form) 51.90697766918525 y[1] (numeric) 51.90697766920159 absolute error 1.6335377495124703e-11 relative error 3.147048475685429e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999681 y[1] (closed_form) 52.41860130051052 y[1] (numeric) 52.41860130052707 absolute error 1.6555645743210334e-11 relative error 3.158353205248362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.94999999999968 y[1] (closed_form) 52.935366834814815 y[1] (numeric) 52.93536683483159 absolute error 1.6775913991295965e-11 relative error 3.1691315266871244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999679 y[1] (closed_form) 53.457325949082204 y[1] (numeric) 53.457325949099214 absolute error 1.70103930940968e-11 relative error 3.1820508774230683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999678 y[1] (closed_form) 53.98453083965909 y[1] (numeric) 53.984530839676324 absolute error 1.723776676954003e-11 relative error 3.193093743972396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996767 y[1] (closed_form) 54.51703422747386 y[1] (numeric) 54.51703422749133 absolute error 1.7472245872340864e-11 relative error 3.2049149628054647e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996756 y[1] (closed_form) 55.05488936330905 y[1] (numeric) 55.05488936332677 absolute error 1.77209358298569e-11 relative error 3.2187760314830266e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996745 y[1] (closed_form) 55.598150033126466 y[1] (numeric) 55.59815003314443 absolute error 1.7962520360015333e-11 relative error 3.230776626436835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999677 y[1] (closed_form) 56.14687056344602 y[1] (numeric) 56.146870563464 absolute error 1.7976731214730535e-11 relative error 3.201733424201587e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999681 y[1] (closed_form) 56.701105826777834 y[1] (numeric) 56.701105826795796 absolute error 1.7962520360015333e-11 relative error 3.167931224285276e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.029999999999684 y[1] (closed_form) 57.260911247110066 y[1] (numeric) 57.26091124712801 absolute error 1.794120407794253e-11 relative error 3.133237611346609e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999687 y[1] (closed_form) 57.82634280545126 y[1] (numeric) 57.82634280546918 absolute error 1.7919887795869727e-11 relative error 3.098914253692078e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999691 y[1] (closed_form) 58.397457045428446 y[1] (numeric) 58.39745704544635 absolute error 1.7905676941154525e-11 relative error 3.066174084810812e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.059999999999694 y[1] (closed_form) 58.974311078941554 y[1] (numeric) 58.97431107895944 absolute error 1.7884360659081722e-11 relative error 3.032567965930481e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999697 y[1] (closed_form) 59.55696259187465 y[1] (numeric) 59.55696259189251 absolute error 1.7855938949651318e-11 relative error 2.998127871633165e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999701 y[1] (closed_form) 60.14546984986457 y[1] (numeric) 60.1454698498824 absolute error 1.7834622667578515e-11 relative error 2.965247875209453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.089999999999704 y[1] (closed_form) 60.73989170412753 y[1] (numeric) 60.73989170414535 absolute error 1.7820411812863313e-11 relative error 2.9338892962913105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999707 y[1] (closed_form) 61.340287597344314 y[1] (numeric) 61.340287597362114 absolute error 1.779909553079051e-11 relative error 2.9016974370301303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999711 y[1] (closed_form) 61.94671756960458 y[1] (numeric) 61.94671756962235 absolute error 1.7770673821360106e-11 relative error 2.8687030594304886e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999714 y[1] (closed_form) 62.55924226441092 y[1] (numeric) 62.55924226442865 absolute error 1.77280412572145e-11 relative error 2.833800509009639e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1299999999997175 y[1] (closed_form) 63.177922934743236 y[1] (numeric) 63.17792293476092 absolute error 1.7685408693068894e-11 relative error 2.7993020143027228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999721 y[1] (closed_form) 63.80282144918414 y[1] (numeric) 63.8028214492018 absolute error 1.766409241099609e-11 relative error 2.7685440878292013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999724 y[1] (closed_form) 64.43400029810581 y[1] (numeric) 64.43400029812346 absolute error 1.764988155628089e-11 relative error 2.7392186539130254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1599999999997275 y[1] (closed_form) 65.07152259991916 y[1] (numeric) 65.07152259993678 absolute error 1.7621459846850485e-11 relative error 2.7080140655679655e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999731 y[1] (closed_form) 65.71545210738562 y[1] (numeric) 65.7154521074032 absolute error 1.757882728270488e-11 relative error 2.674991454670253e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999734 y[1] (closed_form) 66.36585321399254 y[1] (numeric) 66.36585321401009 absolute error 1.7550405573274475e-11 relative error 2.6444933234994043e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1899999999997375 y[1] (closed_form) 67.02279096039258 y[1] (numeric) 67.02279096041008 absolute error 1.7493562154413667e-11 relative error 2.6100915679192715e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999741 y[1] (closed_form) 67.68633104090786 y[1] (numeric) 67.6863310409253 absolute error 1.743671873555286e-11 relative error 2.576106352258118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999744 y[1] (closed_form) 68.35653981009935 y[1] (numeric) 68.35653981011676 absolute error 1.7408297026122455e-11 relative error 2.5466907883992196e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2199999999997475 y[1] (closed_form) 69.0334842894025 y[1] (numeric) 69.03348428941983 absolute error 1.7337242752546445e-11 relative error 2.5114251339053342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999751 y[1] (closed_form) 69.71723217382934 y[1] (numeric) 69.71723217384663 absolute error 1.7280399333685637e-11 relative error 2.4786410468217645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999754 y[1] (closed_form) 70.40785183873813 y[1] (numeric) 70.40785183875535 absolute error 1.722355591482483e-11 relative error 2.4462549935870213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2499999999997575 y[1] (closed_form) 71.10541234667086 y[1] (numeric) 71.10541234668803 absolute error 1.716671249596402e-11 relative error 2.4142624210191734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999761 y[1] (closed_form) 71.80998345425964 y[1] (numeric) 71.80998345427673 absolute error 1.709565822238801e-11 relative error 2.3806798720789744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999764 y[1] (closed_form) 72.52163561920236 y[1] (numeric) 72.52163561921938 absolute error 1.7024603948812e-11 relative error 2.3475206817183545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2799999999997675 y[1] (closed_form) 73.24044000730856 y[1] (numeric) 73.2404400073255 absolute error 1.693933882052079e-11 relative error 2.312839575899658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999771 y[1] (closed_form) 73.96646849961608 y[1] (numeric) 73.96646849963294 absolute error 1.6854073692229576e-11 relative error 2.2786100288561237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999774 y[1] (closed_form) 74.69979369957916 y[1] (numeric) 74.69979369959594 absolute error 1.6783019418653566e-11 relative error 2.2467290185766762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999778 y[1] (closed_form) 75.44048894032889 y[1] (numeric) 75.44048894034562 absolute error 1.6726175999792758e-11 relative error 2.2171351531168693e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999781 y[1] (closed_form) 76.18862829200661 y[1] (numeric) 76.18862829202322 absolute error 1.6612489162071142e-11 relative error 2.1804420862390108e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999784 y[1] (closed_form) 76.94428656917094 y[1] (numeric) 76.94428656918747 absolute error 1.652722403377993e-11 relative error 2.1479468808801522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999788 y[1] (closed_form) 77.7075393382793 y[1] (numeric) 77.70753933829575 absolute error 1.6441958905488718e-11 relative error 2.115876920759642e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999791 y[1] (closed_form) 78.47846292524466 y[1] (numeric) 78.47846292526101 absolute error 1.6356693777197506e-11 relative error 2.0842270818655325e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999794 y[1] (closed_form) 79.25713442306815 y[1] (numeric) 79.25713442308442 absolute error 1.6271428648906294e-11 relative error 2.0529922974568736e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999798 y[1] (closed_form) 80.04363169954846 y[1] (numeric) 80.04363169956461 absolute error 1.6157741811184678e-11 relative error 2.0186167803872683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999801 y[1] (closed_form) 80.83803340506863 y[1] (numeric) 80.83803340508467 absolute error 1.6044054973463062e-11 relative error 1.9847161413574274e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999804 y[1] (closed_form) 81.64041898046122 y[1] (numeric) 81.64041898047715 absolute error 1.5930368135741446e-11 relative error 1.9512844660380808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999808 y[1] (closed_form) 82.45086866495245 y[1] (numeric) 82.45086866496825 absolute error 1.5802470443304628e-11 relative error 1.9165923536257193e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999811 y[1] (closed_form) 83.26946350418612 y[1] (numeric) 83.26946350420181 absolute error 1.5688783605583012e-11 relative error 1.8840980769372084e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999814 y[1] (closed_form) 84.09628535832833 y[1] (numeric) 84.09628535834388 absolute error 1.5546675058430992e-11 relative error 1.8486755975234468e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999818 y[1] (closed_form) 84.93141691025353 y[1] (numeric) 84.93141691026894 absolute error 1.5404566511278972e-11 relative error 1.813765397032864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999821 y[1] (closed_form) 85.77494167381282 y[1] (numeric) 85.77494167382811 absolute error 1.5290879673557356e-11 relative error 1.7826744472419358e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999824 y[1] (closed_form) 86.62694400218552 y[1] (numeric) 86.62694400220069 absolute error 1.5162981981120538e-11 relative error 1.7503771090825953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999828 y[1] (closed_form) 87.48750909631448 y[1] (numeric) 87.4875090963295 absolute error 1.5020873433968518e-11 relative error 1.7169163448729723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999831 y[1] (closed_form) 88.35672301342625 y[1] (numeric) 88.35672301344111 absolute error 1.4864554032101296e-11 relative error 1.6823342384305667e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999834 y[1] (closed_form) 89.23467267563686 y[1] (numeric) 89.2346726756516 absolute error 1.4736656339664478e-11 relative error 1.6514495876766888e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999838 y[1] (closed_form) 90.12144587864418 y[1] (numeric) 90.12144587865878 absolute error 1.4594547792512458e-11 relative error 1.6194311631623395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999841 y[1] (closed_form) 91.0171313005075 y[1] (numeric) 91.01713130052192 absolute error 1.4424017535930034e-11 relative error 1.584758531699582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999844 y[1] (closed_form) 91.9218185105154 y[1] (numeric) 91.92181851052965 absolute error 1.425348727934761e-11 relative error 1.550609801928264e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999848 y[1] (closed_form) 92.83559797814279 y[1] (numeric) 92.83559797815688 absolute error 1.4097167877480388e-11 relative error 1.518508867772837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999851 y[1] (closed_form) 93.75856108209793 y[1] (numeric) 93.75856108211184 absolute error 1.3912426766182762e-11 relative error 1.4838566852578515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999854 y[1] (closed_form) 94.69080011946033 y[1] (numeric) 94.69080011947408 absolute error 1.3741896509600338e-11 relative error 1.4512388206947022e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999858 y[1] (closed_form) 95.6324083149106 y[1] (numeric) 95.63240831492419 absolute error 1.3585577107733116e-11 relative error 1.4206038880665634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999861 y[1] (closed_form) 96.583479830053 y[1] (numeric) 96.58347983006641 absolute error 1.3415046851150692e-11 relative error 1.3889587406413218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999864 y[1] (closed_form) 97.54410977283156 y[1] (numeric) 97.54410977284479 absolute error 1.3230305739853065e-11 relative error 1.356340815520778e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999868 y[1] (closed_form) 98.51439420704111 y[1] (numeric) 98.51439420705415 absolute error 1.304556462855544e-11 relative error 1.324229289898332e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999871 y[1] (closed_form) 99.49443016193362 y[1] (numeric) 99.49443016194647 absolute error 1.2846612662542611e-11 relative error 1.291189129043095e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999874 y[1] (closed_form) 100.48431564192131 y[1] (numeric) 100.48431564193395 absolute error 1.2633449841814581e-11 relative error 1.2572558972122809e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999878 y[1] (closed_form) 101.48414963637707 y[1] (numeric) 101.48414963638949 absolute error 1.2420287021086551e-11 relative error 1.2238647183416404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999881 y[1] (closed_form) 102.49403212953355 y[1] (numeric) 102.49403212954572 absolute error 1.2164491636212915e-11 relative error 1.18684877387195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999884 y[1] (closed_form) 103.51406411048163 y[1] (numeric) 103.51406411049358 absolute error 1.1951328815484885e-11 relative error 1.1545608723012854e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999888 y[1] (closed_form) 104.54434758326943 y[1] (numeric) 104.54434758328115 absolute error 1.1723955140041653e-11 relative error 1.1214336701181802e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999891 y[1] (closed_form) 105.5849855771028 y[1] (numeric) 105.58498557711428 absolute error 1.1482370609883219e-11 relative error 1.0875003247027284e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6599999999998944 y[1] (closed_form) 106.63608215664834 y[1] (numeric) 106.63608215665957 absolute error 1.1226575225009583e-11 relative error 1.052793294535873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999898 y[1] (closed_form) 107.69774243243992 y[1] (numeric) 107.69774243245092 absolute error 1.0999201549566351e-11 relative error 1.021302889098746e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999901 y[1] (closed_form) 108.77007257138983 y[1] (numeric) 108.77007257140058 absolute error 1.0743406164692715e-11 relative error 9.877171091930106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999045 y[1] (closed_form) 109.85317980740558 y[1] (numeric) 109.85317980741607 absolute error 1.0487610779819079e-11 relative error 9.546934188164549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999908 y[1] (closed_form) 110.94717245211336 y[1] (numeric) 110.94717245212361 absolute error 1.0246026249660645e-11 relative error 9.235049459311817e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999911 y[1] (closed_form) 112.05215990568931 y[1] (numeric) 112.05215990569928 absolute error 9.976020010071807e-12 relative error 8.903014469750785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7199999999999145 y[1] (closed_form) 113.1682526677996 y[1] (numeric) 113.16825266780933 absolute error 9.72022462519817e-12 relative error 8.58917973553189e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999918 y[1] (closed_form) 114.29556234865056 y[1] (numeric) 114.29556234865998 absolute error 9.421796676178928e-12 relative error 8.243361756634437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999921 y[1] (closed_form) 115.43420168014966 y[1] (numeric) 115.43420168015881 absolute error 9.15179043659009e-12 relative error 7.928144608257688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7499999999999245 y[1] (closed_form) 116.58428452717894 y[1] (numeric) 116.58428452718782 absolute error 8.881784197001252e-12 relative error 7.618337439752155e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999928 y[1] (closed_form) 117.7459258989815 y[1] (numeric) 117.74592589899007 absolute error 8.569145393266808e-12 relative error 7.277657658082021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999931 y[1] (closed_form) 118.91924196066255 y[1] (numeric) 118.91924196067082 absolute error 8.270717444247566e-12 relative error 6.954902594302987e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7799999999999345 y[1] (closed_form) 120.10435004480605 y[1] (numeric) 120.10435004481398 absolute error 7.929656931082718e-12 relative error 6.602306184683973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999938 y[1] (closed_form) 121.301368663208 y[1] (numeric) 121.30136866321561 absolute error 7.617018127348274e-12 relative error 6.279416474266541e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999941 y[1] (closed_form) 122.51041751872773 y[1] (numeric) 122.51041751873504 absolute error 7.30437932361383e-12 relative error 5.9622515958671315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8099999999999445 y[1] (closed_form) 123.73161751725839 y[1] (numeric) 123.73161751726533 absolute error 6.94910795573378e-12 relative error 5.616275043656082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999948 y[1] (closed_form) 124.96509077981744 y[1] (numeric) 124.96509077982405 absolute error 6.608047442568932e-12 relative error 5.287914729892045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999951 y[1] (closed_form) 126.21096065475909 y[1] (numeric) 126.21096065476534 absolute error 6.252776074688882e-12 relative error 4.954225878838602e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999955 y[1] (closed_form) 127.46935173010904 y[1] (numeric) 127.46935173011491 absolute error 5.8690829973784275e-12 relative error 4.604309128209141e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999958 y[1] (closed_form) 128.74038984602348 y[1] (numeric) 128.740389846029 absolute error 5.5138116294983774e-12 relative error 4.282891822910452e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999961 y[1] (closed_form) 130.0242021073732 y[1] (numeric) 130.02420210737836 absolute error 5.144329406903125e-12 relative error 3.956439896208683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999965 y[1] (closed_form) 131.3209168964542 y[1] (numeric) 131.32091689645898 absolute error 4.774847184307873e-12 relative error 3.63601419876836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999968 y[1] (closed_form) 132.630663885826 y[1] (numeric) 132.63066388583036 absolute error 4.348521542851813e-12 relative error 3.2786698154472042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999971 y[1] (closed_form) 133.95357405127896 y[1] (numeric) 133.95357405128297 absolute error 4.007461029686965e-12 relative error 2.991679063488715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999975 y[1] (closed_form) 135.28977968493209 y[1] (numeric) 135.28977968493567 absolute error 3.581135388230905e-12 relative error 2.647011028158067e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999978 y[1] (closed_form) 136.63941440846222 y[1] (numeric) 136.63941440846543 absolute error 3.211653165635653e-12 relative error 2.3504588185916228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999981 y[1] (closed_form) 138.00261318646642 y[1] (numeric) 138.0026131864692 absolute error 2.7853275241795927e-12 relative error 2.018315059306966e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999985 y[1] (closed_form) 139.37951233995852 y[1] (numeric) 139.37951233996085 absolute error 2.3305801732931286e-12 relative error 1.672111011271617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999988 y[1] (closed_form) 140.77024956000128 y[1] (numeric) 140.77024956000312 absolute error 1.8474111129762605e-12 relative error 1.3123590522504744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999991 y[1] (closed_form) 142.1749639214756 y[1] (numeric) 142.174963921477 absolute error 1.3926637620897964e-12 relative error 9.795421948262114e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999995 y[1] (closed_form) 143.59379589698833 y[1] (numeric) 143.59379589698926 absolute error 9.379164112033322e-13 relative error 6.531733528906619e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999998 y[1] (closed_form) 145.0268873709193 y[1] (numeric) 145.02688737091972 absolute error 4.263256414560601e-13 relative error 2.93963174129011e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.980000000000001 y[1] (closed_form) 146.47438165361018 y[1] (numeric) 146.47438165361015 absolute error 2.842170943040401e-14 relative error 1.940387739449009e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000005 y[1] (closed_form) 147.93642349569546 y[1] (numeric) 147.93642349569498 absolute error 4.831690603168681e-13 relative error 3.2660588170223475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 Finished! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; Iterations 10000 Total Elapsed Time 3 Seconds Elapsed Time(since restart) 3 Seconds Time to Timeout 2 Minutes 57.0 Seconds Percent Done 100.01000000000008%