##############ECHO OF PROBLEM################# ##############temp/diff_Apostode.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(-1.0) $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 Finished! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; Iterations 4000 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.02500000000008%