##############ECHO OF PROBLEM################# ##############temp/add_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 + sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-0.5) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.001) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - c(cos(c(x))) + c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.5 y[1] (closed_form) 0.6224174381096272 y[1] (numeric) 0.6224174381096272 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.49 y[1] (closed_form) 0.6276671413898784 y[1] (numeric) 0.6276671413898784 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.48 y[1] (closed_form) 0.6330050772207159 y[1] (numeric) 0.6330050772207159 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.47 y[1] (closed_form) 0.6384317118046712 y[1] (numeric) 0.6384317118046711 absolute error 1.1102230246251565e-16 relative error 1.7389847717414614e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.45999999999999996 y[1] (closed_form) 0.6439475024744747 y[1] (numeric) 0.6439475024744747 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.44999999999999996 y[1] (closed_form) 0.6495528976473233 y[1] (numeric) 0.6495528976473232 absolute error 1.1102230246251565e-16 relative error 1.709211102970024e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.43999999999999995 y[1] (closed_form) 0.6552483367800366 y[1] (numeric) 0.6552483367800366 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.42999999999999994 y[1] (closed_form) 0.661034250325115 y[1] (numeric) 0.6610342503251148 absolute error 2.220446049250313e-16 relative error 3.359048412632532e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.41999999999999993 y[1] (closed_form) 0.6669110596876919 y[1] (numeric) 0.6669110596876917 absolute error 2.220446049250313e-16 relative error 3.329448532897515e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4099999999999999 y[1] (closed_form) 0.6728791771833948 y[1] (numeric) 0.672879177183395 absolute error 1.1102230246251565e-16 relative error 1.649958955889287e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3999999999999999 y[1] (closed_form) 0.678939005997115 y[1] (numeric) 0.6789390059971151 absolute error 1.1102230246251565e-16 relative error 1.6352323475577042e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3899999999999999 y[1] (closed_form) 0.685090940142687 y[1] (numeric) 0.6850909401426871 absolute error 1.1102230246251565e-16 relative error 1.6205483966755205e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3799999999999999 y[1] (closed_form) 0.6913353644234899 y[1] (numeric) 0.6913353644234898 absolute error 1.1102230246251565e-16 relative error 1.605910939549549e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3699999999999999 y[1] (closed_form) 0.6976726543939658 y[1] (numeric) 0.6976726543939655 absolute error 2.220446049250313e-16 relative error 3.1826473852255345e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3599999999999999 y[1] (closed_form) 0.7041031763220653 y[1] (numeric) 0.7041031763220652 absolute error 1.1102230246251565e-16 relative error 1.5767902517135174e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.34999999999999987 y[1] (closed_form) 0.7106272871526211 y[1] (numeric) 0.710627287152621 absolute error 1.1102230246251565e-16 relative error 1.562314091643816e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.33999999999999986 y[1] (closed_form) 0.7172453344716538 y[1] (numeric) 0.7172453344716536 absolute error 2.220446049250313e-16 relative error 3.095797131794473e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.32999999999999985 y[1] (closed_form) 0.7239576564716133 y[1] (numeric) 0.7239576564716129 absolute error 3.3306690738754696e-16 relative error 4.600640719939768e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.31999999999999984 y[1] (closed_form) 0.7307645819175592 y[1] (numeric) 0.7307645819175591 absolute error 1.1102230246251565e-16 relative error 1.519262224931429e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.30999999999999983 y[1] (closed_form) 0.7376664301142866 y[1] (numeric) 0.7376664301142867 absolute error 1.1102230246251565e-16 relative error 1.50504751104527e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2999999999999998 y[1] (closed_form) 0.744663510874394 y[1] (numeric) 0.744663510874394 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2899999999999998 y[1] (closed_form) 0.751756124487303 y[1] (numeric) 0.751756124487303 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2799999999999998 y[1] (closed_form) 0.7589445616892292 y[1] (numeric) 0.7589445616892294 absolute error 2.220446049250313e-16 relative error 2.9257025629225554e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2699999999999998 y[1] (closed_form) 0.7662291036341096 y[1] (numeric) 0.7662291036341098 absolute error 2.220446049250313e-16 relative error 2.897887901567653e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2599999999999998 y[1] (closed_form) 0.7736100218654869 y[1] (numeric) 0.7736100218654871 absolute error 2.220446049250313e-16 relative error 2.870239508914219e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.24999999999999978 y[1] (closed_form) 0.7810875782893554 y[1] (numeric) 0.7810875782893557 absolute error 3.3306690738754696e-16 relative error 4.2641429289784674e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.23999999999999977 y[1] (closed_form) 0.7886620251479706 y[1] (numeric) 0.7886620251479708 absolute error 2.220446049250313e-16 relative error 2.8154595738696913e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.22999999999999976 y[1] (closed_form) 0.7963336049946255 y[1] (numeric) 0.7963336049946255 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.21999999999999975 y[1] (closed_form) 0.8041025506693948 y[1] (numeric) 0.8041025506693948 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.20999999999999974 y[1] (closed_form) 0.8119690852758519 y[1] (numeric) 0.8119690852758523 absolute error 4.440892098500626e-16 relative error 5.469287167493468e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.19999999999999973 y[1] (closed_form) 0.8199334221587584 y[1] (numeric) 0.819933422158759 absolute error 5.551115123125783e-16 relative error 6.770202278753989e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.18999999999999972 y[1] (closed_form) 0.8279957648827299 y[1] (numeric) 0.8279957648827303 absolute error 4.440892098500626e-16 relative error 5.363423687474532e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.17999999999999972 y[1] (closed_form) 0.836156307211879 y[1] (numeric) 0.8361563072118792 absolute error 2.220446049250313e-16 relative error 2.6555394369436482e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.1699999999999997 y[1] (closed_form) 0.8444152330904395 y[1] (numeric) 0.8444152330904401 absolute error 5.551115123125783e-16 relative error 6.573916369094257e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.1599999999999997 y[1] (closed_form) 0.8527727166243733 y[1] (numeric) 0.8527727166243737 absolute error 4.440892098500626e-16 relative error 5.207591673522943e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.1499999999999997 y[1] (closed_form) 0.861228922063958 y[1] (numeric) 0.8612289220639583 absolute error 3.3306690738754696e-16 relative error 3.867344661270122e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.13999999999999968 y[1] (closed_form) 0.869784003787363 y[1] (numeric) 0.8697840037873632 absolute error 2.220446049250313e-16 relative error 2.5528706432650696e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.12999999999999967 y[1] (closed_form) 0.8784381062852122 y[1] (numeric) 0.8784381062852124 absolute error 1.1102230246251565e-16 relative error 1.2638602727745148e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.11999999999999966 y[1] (closed_form) 0.8871913641461342 y[1] (numeric) 0.8871913641461342 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.10999999999999965 y[1] (closed_form) 0.8960439020433035 y[1] (numeric) 0.8960439020433035 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.09999999999999964 y[1] (closed_form) 0.9049958347219746 y[1] (numeric) 0.9049958347219746 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.08999999999999964 y[1] (closed_form) 0.9140472669880062 y[1] (numeric) 0.9140472669880062 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.07999999999999963 y[1] (closed_form) 0.9231982936973808 y[1] (numeric) 0.9231982936973812 absolute error 3.3306690738754696e-16 relative error 3.607750465543261e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.06999999999999962 y[1] (closed_form) 0.9324489997467207 y[1] (numeric) 0.9324489997467209 absolute error 2.220446049250313e-16 relative error 2.3813056262095284e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.05999999999999961 y[1] (closed_form) 0.9417994600647961 y[1] (numeric) 0.9417994600647963 absolute error 2.220446049250313e-16 relative error 2.3576633279207292e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.0499999999999996 y[1] (closed_form) 0.9512497396050341 y[1] (numeric) 0.9512497396050342 absolute error 1.1102230246251565e-16 relative error 1.1671204504992866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.03999999999999959 y[1] (closed_form) 0.9607998933390225 y[1] (numeric) 0.9607998933390225 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.029999999999999583 y[1] (closed_form) 0.9704499662510129 y[1] (numeric) 0.9704499662510129 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.019999999999999574 y[1] (closed_form) 0.9801999933334227 y[1] (numeric) 0.9801999933334227 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.009999999999999565 y[1] (closed_form) 0.9900499995833352 y[1] (numeric) 0.9900499995833352 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.371503159461554e-16 y[1] (closed_form) 1.0000000000000004 y[1] (numeric) 1.0000000000000004 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.010000000000000439 y[1] (closed_form) 1.0100499995833352 y[1] (numeric) 1.0100499995833356 absolute error 4.440892098500626e-16 relative error 4.3967052129425066e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.020000000000000448 y[1] (closed_form) 1.0201999933334227 y[1] (numeric) 1.0201999933334231 absolute error 4.440892098500626e-16 relative error 4.352962289276598e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.030000000000000457 y[1] (closed_form) 1.030449966251013 y[1] (numeric) 1.0304499662510136 absolute error 6.661338147750939e-16 relative error 6.464494508147975e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.040000000000000466 y[1] (closed_form) 1.0407998933390226 y[1] (numeric) 1.0407998933390235 absolute error 8.881784197001252e-16 relative error 8.53361366948965e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.050000000000000475 y[1] (closed_form) 1.0512497396050342 y[1] (numeric) 1.051249739605035 absolute error 8.881784197001252e-16 relative error 8.448786108939474e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.060000000000000484 y[1] (closed_form) 1.0617994600647962 y[1] (numeric) 1.0617994600647969 absolute error 6.661338147750939e-16 relative error 6.273631131197252e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.07000000000000049 y[1] (closed_form) 1.0724489997467208 y[1] (numeric) 1.0724489997467217 absolute error 8.881784197001252e-16 relative error 8.281777687422762e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.0800000000000005 y[1] (closed_form) 1.0831982936973812 y[1] (numeric) 1.0831982936973816 absolute error 4.440892098500626e-16 relative error 4.0997960616630194e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.09000000000000051 y[1] (closed_form) 1.0940472669880064 y[1] (numeric) 1.0940472669880066 absolute error 2.220446049250313e-16 relative error 2.029570491376818e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000052 y[1] (closed_form) 1.1049958347219748 y[1] (numeric) 1.104995834721975 absolute error 2.220446049250313e-16 relative error 2.0094610128634502e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000053 y[1] (closed_form) 1.1160439020433037 y[1] (numeric) 1.1160439020433042 absolute error 4.440892098500626e-16 relative error 3.979137460784508e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000054 y[1] (closed_form) 1.1271913641461344 y[1] (numeric) 1.1271913641461349 absolute error 4.440892098500626e-16 relative error 3.939785416884092e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000053 y[1] (closed_form) 1.1384381062852127 y[1] (numeric) 1.1384381062852134 absolute error 6.661338147750939e-16 relative error 5.851295833277453e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000054 y[1] (closed_form) 1.1497840037873635 y[1] (numeric) 1.149784003787364 absolute error 4.440892098500626e-16 relative error 3.862370744307126e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000055 y[1] (closed_form) 1.1612289220639582 y[1] (numeric) 1.1612289220639587 absolute error 4.440892098500626e-16 relative error 3.824303730402635e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000056 y[1] (closed_form) 1.1727727166243738 y[1] (numeric) 1.172772716624374 absolute error 2.220446049250313e-16 relative error 1.8933302401862557e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000057 y[1] (closed_form) 1.18441523309044 y[1] (numeric) 1.18441523309044 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000058 y[1] (closed_form) 1.1961563072118793 y[1] (numeric) 1.1961563072118795 absolute error 2.220446049250313e-16 relative error 1.8563176366355923e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000059 y[1] (closed_form) 1.2079957648827304 y[1] (numeric) 1.2079957648827306 absolute error 2.220446049250313e-16 relative error 1.838124034702944e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000006 y[1] (closed_form) 1.2199334221587592 y[1] (numeric) 1.2199334221587588 absolute error 4.440892098500626e-16 relative error 3.64027414761877e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000006 y[1] (closed_form) 1.2319690852758525 y[1] (numeric) 1.2319690852758522 absolute error 2.220446049250313e-16 relative error 1.8023553316300374e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000006 y[1] (closed_form) 1.2441025506693952 y[1] (numeric) 1.2441025506693948 absolute error 4.440892098500626e-16 relative error 3.569554693149036e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000062 y[1] (closed_form) 1.2563336049946259 y[1] (numeric) 1.2563336049946254 absolute error 4.440892098500626e-16 relative error 3.53480324083158e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000063 y[1] (closed_form) 1.2686620251479712 y[1] (numeric) 1.2686620251479706 absolute error 6.661338147750939e-16 relative error 5.2506798624905554e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000006 y[1] (closed_form) 1.281087578289356 y[1] (numeric) 1.2810875782893552 absolute error 8.881784197001252e-16 relative error 6.93300313539934e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000006 y[1] (closed_form) 1.2936100218654876 y[1] (numeric) 1.2936100218654867 absolute error 8.881784197001252e-16 relative error 6.865890064915406e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000063 y[1] (closed_form) 1.3062291036341105 y[1] (numeric) 1.3062291036341096 absolute error 8.881784197001252e-16 relative error 6.7995607908987e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000064 y[1] (closed_form) 1.31894456168923 y[1] (numeric) 1.318944561689229 absolute error 8.881784197001252e-16 relative error 6.73400873318433e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000065 y[1] (closed_form) 1.3317561244873037 y[1] (numeric) 1.3317561244873029 absolute error 8.881784197001252e-16 relative error 6.669227220877652e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000066 y[1] (closed_form) 1.344663510874395 y[1] (numeric) 1.3446635108743943 absolute error 6.661338147750939e-16 relative error 4.953907125373892e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000066 y[1] (closed_form) 1.3576664301142876 y[1] (numeric) 1.3576664301142871 absolute error 4.440892098500626e-16 relative error 3.2709743719057667e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000007 y[1] (closed_form) 1.3707645819175602 y[1] (numeric) 1.3707645819175598 absolute error 4.440892098500626e-16 relative error 3.2397190276745186e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000007 y[1] (closed_form) 1.3839576564716138 y[1] (numeric) 1.3839576564716136 absolute error 2.220446049250313e-16 relative error 1.604417619908486e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000007 y[1] (closed_form) 1.3972453344716547 y[1] (numeric) 1.3972453344716542 absolute error 4.440892098500626e-16 relative error 3.178319504054652e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000007 y[1] (closed_form) 1.4106272871526222 y[1] (numeric) 1.4106272871526215 absolute error 6.661338147750939e-16 relative error 4.722252439336386e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000007 y[1] (closed_form) 1.4241031763220662 y[1] (numeric) 1.4241031763220653 absolute error 8.881784197001252e-16 relative error 6.236756117586669e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000007 y[1] (closed_form) 1.4376726543939666 y[1] (numeric) 1.4376726543939657 absolute error 8.881784197001252e-16 relative error 6.177890474480271e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000007 y[1] (closed_form) 1.4513353644234908 y[1] (numeric) 1.4513353644234896 absolute error 1.1102230246251565e-15 relative error 7.649665624086593e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000073 y[1] (closed_form) 1.465090940142688 y[1] (numeric) 1.4650909401426868 absolute error 1.1102230246251565e-15 relative error 7.577843765227501e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000074 y[1] (closed_form) 1.4789390059971161 y[1] (numeric) 1.4789390059971148 absolute error 1.3322676295501878e-15 relative error 9.008266224285288e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000075 y[1] (closed_form) 1.492879177183396 y[1] (numeric) 1.4928791771833951 absolute error 8.881784197001252e-16 relative error 5.949432702088087e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000076 y[1] (closed_form) 1.506911059687693 y[1] (numeric) 1.506911059687692 absolute error 8.881784197001252e-16 relative error 5.894033453335993e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000077 y[1] (closed_form) 1.5210342503251162 y[1] (numeric) 1.5210342503251153 absolute error 8.881784197001252e-16 relative error 5.839305850675485e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000008 y[1] (closed_form) 1.5352483367800378 y[1] (numeric) 1.535248336780037 absolute error 8.881784197001252e-16 relative error 5.785242676523275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000008 y[1] (closed_form) 1.5495528976473243 y[1] (numeric) 1.5495528976473234 absolute error 8.881784197001252e-16 relative error 5.73183671915067e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000008 y[1] (closed_form) 1.563947502474476 y[1] (numeric) 1.563947502474475 absolute error 1.1102230246251565e-15 relative error 7.098850970819435e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000008 y[1] (closed_form) 1.5784317118046725 y[1] (numeric) 1.5784317118046713 absolute error 1.1102230246251565e-15 relative error 7.033709575916986e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000008 y[1] (closed_form) 1.5930050772207172 y[1] (numeric) 1.593005077220716 absolute error 1.1102230246251565e-15 relative error 6.969362750319286e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000008 y[1] (closed_form) 1.6076671413898798 y[1] (numeric) 1.6076671413898789 absolute error 8.881784197001252e-16 relative error 5.5246412446563197e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000008 y[1] (closed_form) 1.6224174381096286 y[1] (numeric) 1.6224174381096277 absolute error 8.881784197001252e-16 relative error 5.474413667144707e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000008 y[1] (closed_form) 1.63725549235425 y[1] (numeric) 1.6372554923542488 absolute error 1.1102230246251565e-15 relative error 6.7810004596701e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000008 y[1] (closed_form) 1.6521808203223514 y[1] (numeric) 1.6521808203223505 absolute error 8.881784197001252e-16 relative error 5.3757942761182503e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000008 y[1] (closed_form) 1.6671929294852403 y[1] (numeric) 1.667192929485239 absolute error 1.3322676295501878e-15 relative error 7.991082531531228e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000008 y[1] (closed_form) 1.6822913186361772 y[1] (numeric) 1.6822913186361759 absolute error 1.3322676295501878e-15 relative error 7.919363399142122e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000008 y[1] (closed_form) 1.6974754779404955 y[1] (numeric) 1.6974754779404944 absolute error 1.1102230246251565e-15 relative error 6.540436307051472e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000008 y[1] (closed_form) 1.712744888986585 y[1] (numeric) 1.712744888986584 absolute error 1.1102230246251565e-15 relative error 6.48212720857725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000008 y[1] (closed_form) 1.7280990248377326 y[1] (numeric) 1.7280990248377313 absolute error 1.3322676295501878e-15 relative error 7.709440317954504e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000008 y[1] (closed_form) 1.7435373500848144 y[1] (numeric) 1.743537350084813 absolute error 1.3322676295501878e-15 relative error 7.641176310248701e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000009 y[1] (closed_form) 1.759059320899838 y[1] (numeric) 1.7590593208998366 absolute error 1.3322676295501878e-15 relative error 7.573750434230228e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000009 y[1] (closed_form) 1.7746643850903232 y[1] (numeric) 1.7746643850903219 absolute error 1.3322676295501878e-15 relative error 7.507152567793154e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000009 y[1] (closed_form) 1.790351982154522 y[1] (numeric) 1.7903519821545204 absolute error 1.5543122344752192e-15 relative error 8.681601439091039e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000009 y[1] (closed_form) 1.8061215433374675 y[1] (numeric) 1.8061215433374662 absolute error 1.3322676295501878e-15 relative error 7.37640074370819e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000009 y[1] (closed_form) 1.8219724916878497 y[1] (numeric) 1.8219724916878484 absolute error 1.3322676295501878e-15 relative error 7.312226916861922e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000009 y[1] (closed_form) 1.8379042421157088 y[1] (numeric) 1.8379042421157077 absolute error 1.1102230246251565e-15 relative error 6.040701137656225e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000009 y[1] (closed_form) 1.8539162014509456 y[1] (numeric) 1.8539162014509443 absolute error 1.3322676295501878e-15 relative error 7.186234353567353e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000009 y[1] (closed_form) 1.8700077685026364 y[1] (numeric) 1.8700077685026353 absolute error 1.1102230246251565e-15 relative error 5.936996858115413e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000009 y[1] (closed_form) 1.886178334119152 y[1] (numeric) 1.8861783341191514 absolute error 6.661338147750939e-16 relative error 3.531658712887185e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000009 y[1] (closed_form) 1.9024272812490737 y[1] (numeric) 1.9024272812490728 absolute error 8.881784197001252e-16 relative error 4.668658972956776e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.690000000000001 y[1] (closed_form) 1.918753985002895 y[1] (numeric) 1.918753985002894 absolute error 8.881784197001252e-16 relative error 4.6289332902612065e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.700000000000001 y[1] (closed_form) 1.9351578127155133 y[1] (numeric) 1.9351578127155122 absolute error 1.1102230246251565e-15 relative error 5.737118788607913e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.710000000000001 y[1] (closed_form) 1.9516381240094933 y[1] (numeric) 1.9516381240094927 absolute error 6.661338147750939e-16 relative error 3.413203536968074e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.720000000000001 y[1] (closed_form) 1.9681942708591067 y[1] (numeric) 1.9681942708591058 absolute error 8.881784197001252e-16 relative error 4.512656259854064e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.730000000000001 y[1] (closed_form) 1.984825597655131 y[1] (numeric) 1.9848255976551303 absolute error 6.661338147750939e-16 relative error 3.356132728044535e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.740000000000001 y[1] (closed_form) 2.001531441270414 y[1] (numeric) 2.0015314412704126 absolute error 1.3322676295501878e-15 relative error 6.656241326414386e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.750000000000001 y[1] (closed_form) 2.0183111311261808 y[1] (numeric) 2.0183111311261803 absolute error 4.440892098500626e-16 relative error 2.2003010487400372e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.760000000000001 y[1] (closed_form) 2.0351639892590967 y[1] (numeric) 2.035163989259096 absolute error 8.881784197001252e-16 relative error 4.364161435577815e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.770000000000001 y[1] (closed_form) 2.0520893303890584 y[1] (numeric) 2.052089330389058 absolute error 4.440892098500626e-16 relative error 2.1640832261715777e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.780000000000001 y[1] (closed_form) 2.0690864619877245 y[1] (numeric) 2.0690864619877236 absolute error 8.881784197001252e-16 relative error 4.292611430296984e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.790000000000001 y[1] (closed_form) 2.0861546843477656 y[1] (numeric) 2.086154684347765 absolute error 4.440892098500626e-16 relative error 2.128745357101392e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.800000000000001 y[1] (closed_form) 2.1032932906528363 y[1] (numeric) 2.103293290652836 absolute error 4.440892098500626e-16 relative error 2.1113993555897417e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.810000000000001 y[1] (closed_form) 2.1205015670482545 y[1] (numeric) 2.120501567048254 absolute error 4.440892098500626e-16 relative error 2.0942649453838242e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000011 y[1] (closed_form) 2.137778792712388 y[1] (numeric) 2.137778792712387 absolute error 1.3322676295501878e-15 relative error 6.232018177427154e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000011 y[1] (closed_form) 2.155124239928735 y[1] (numeric) 2.155124239928733 absolute error 1.7763568394002505e-15 relative error 8.242479976277333e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000011 y[1] (closed_form) 2.172537174158694 y[1] (numeric) 2.1725371741586925 absolute error 1.3322676295501878e-15 relative error 6.132312235651862e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000011 y[1] (closed_form) 2.1900168541150196 y[1] (numeric) 2.190016854115018 absolute error 1.7763568394002505e-15 relative error 8.111156021756152e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000011 y[1] (closed_form) 2.20756253183595 y[1] (numeric) 2.207562531835948 absolute error 2.220446049250313e-15 relative error 1.0058360826606566e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000011 y[1] (closed_form) 2.225173452760001 y[1] (numeric) 2.225173452759999 absolute error 1.7763568394002505e-15 relative error 7.983003919073996e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000011 y[1] (closed_form) 2.2428488558014217 y[1] (numeric) 2.2428488558014195 absolute error 2.220446049250313e-15 relative error 9.900114506186358e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000011 y[1] (closed_form) 2.260587973426305 y[1] (numeric) 2.260587973426302 absolute error 3.1086244689504383e-15 relative error 1.375139789069474e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000011 y[1] (closed_form) 2.2783900317293377 y[1] (numeric) 2.2783900317293337 absolute error 3.9968028886505635e-15 relative error 1.7542224259192885e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000011 y[1] (closed_form) 2.2962542505111903 y[1] (numeric) 2.296254250511187 absolute error 3.1086244689504383e-15 relative error 1.3537806052001423e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000012 y[1] (closed_form) 2.3141798433565395 y[1] (numeric) 2.314179843356535 absolute error 4.440892098500626e-15 relative error 1.9189917807163398e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000012 y[1] (closed_form) 2.3321660177127037 y[1] (numeric) 2.3321660177126997 absolute error 3.9968028886505635e-15 relative error 1.7137728867906538e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000012 y[1] (closed_form) 2.350211974968904 y[1] (numeric) 2.3502119749688997 absolute error 4.440892098500626e-15 relative error 1.8895708752225996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000012 y[1] (closed_form) 2.3683169105361186 y[1] (numeric) 2.368316910536115 absolute error 3.552713678800501e-15 relative error 1.5001006254675052e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000012 y[1] (closed_form) 2.3864800139275455 y[1] (numeric) 2.3864800139275424 absolute error 3.1086244689504383e-15 relative error 1.3025981574571936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000012 y[1] (closed_form) 2.4047004688396476 y[1] (numeric) 2.404700468839644 absolute error 3.552713678800501e-15 relative error 1.4774038283923194e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000012 y[1] (closed_form) 2.422977453233785 y[1] (numeric) 2.4229774532337807 absolute error 4.440892098500626e-15 relative error 1.8328243593739041e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000012 y[1] (closed_form) 2.4413101394184147 y[1] (numeric) 2.4413101394184107 absolute error 3.9968028886505635e-15 relative error 1.6371549128955443e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.000000000000001 y[1] (closed_form) 2.4596976941318625 y[1] (numeric) 2.459697694131859 absolute error 3.552713678800501e-15 relative error 1.444370048919533e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.01 y[1] (closed_form) 2.478139278625645 y[1] (numeric) 2.478139278625643 absolute error 1.7763568394002505e-15 relative error 7.16810735668337e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.019999999999999 y[1] (closed_form) 2.4966340487483487 y[1] (numeric) 2.496634048748349 absolute error 4.440892098500626e-16 relative error 1.7787517160262247e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999978 y[1] (closed_form) 2.5151811550300405 y[1] (numeric) 2.5151811550300436 absolute error 3.1086244689504383e-15 relative error 1.2359445611834308e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999967 y[1] (closed_form) 2.5337797427672157 y[1] (numeric) 2.5337797427672206 absolute error 4.884981308350689e-15 relative error 1.9279423644833691e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999956 y[1] (closed_form) 2.552428952108265 y[1] (numeric) 2.5524289521082717 absolute error 6.661338147750939e-15 relative error 2.6098035529054715e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999945 y[1] (closed_form) 2.571127918139462 y[1] (numeric) 2.5711279181394704 absolute error 8.43769498715119e-15 relative error 3.281709528189066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999934 y[1] (closed_form) 2.5898757709714535 y[1] (numeric) 2.5898757709714637 absolute error 1.021405182655144e-14 relative error 3.943838519605975e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999923 y[1] (closed_form) 2.608671635826245 y[1] (numeric) 2.6086716358262576 absolute error 1.2434497875801753e-14 relative error 4.766601401660647e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999912 y[1] (closed_form) 2.6275146331246826 y[1] (numeric) 2.6275146331246972 absolute error 1.4654943925052066e-14 relative error 5.577492791210137e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.09999999999999 y[1] (closed_form) 2.6464038785744037 y[1] (numeric) 2.6464038785744206 absolute error 1.687538997430238e-14 relative error 6.376725076216642e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.109999999999989 y[1] (closed_form) 2.6653384832582723 y[1] (numeric) 2.6653384832582905 absolute error 1.8207657603852567e-14 relative error 6.831274045761879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.119999999999988 y[1] (closed_form) 2.6843175537232646 y[1] (numeric) 2.6843175537232855 absolute error 2.0872192862952943e-14 relative error 7.775604951806953e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999868 y[1] (closed_form) 2.7033401920698177 y[1] (numeric) 2.7033401920698394 absolute error 2.1760371282653068e-14 relative error 8.049438744885525e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999857 y[1] (closed_form) 2.7224054960416146 y[1] (numeric) 2.722405496041638 absolute error 2.353672812205332e-14 relative error 8.6455629612399e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999846 y[1] (closed_form) 2.7415125591158134 y[1] (numeric) 2.7415125591158387 absolute error 2.531308496145357e-14 relative error 9.233255152264373e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999835 y[1] (closed_form) 2.7606604705936952 y[1] (numeric) 2.760660470593723 absolute error 2.7977620220553945e-14 relative error 1.0134393750542312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999824 y[1] (closed_form) 2.779848315691736 y[1] (numeric) 2.7798483156917664 absolute error 3.019806626980426e-14 relative error 1.0863206492002346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999813 y[1] (closed_form) 2.7990751756330825 y[1] (numeric) 2.7990751756331154 absolute error 3.2862601528904634e-14 relative error 1.1740521231792895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999802 y[1] (closed_form) 2.818340127739429 y[1] (numeric) 2.818340127739465 absolute error 3.597122599785507e-14 relative error 1.2763266450280203e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.199999999999979 y[1] (closed_form) 2.837642245523286 y[1] (numeric) 2.837642245523324 absolute error 3.8191672047105385e-14 relative error 1.3458945399955627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.209999999999978 y[1] (closed_form) 2.856980598780627 y[1] (numeric) 2.8569805987806673 absolute error 4.04121180963557e-14 relative error 1.414504463684625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999769 y[1] (closed_form) 2.876354253683908 y[1] (numeric) 2.876354253683951 absolute error 4.263256414560601e-14 relative error 1.4821736262494127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999758 y[1] (closed_form) 2.8957622728754506 y[1] (numeric) 2.8957622728754955 absolute error 4.4853010194856324e-14 relative error 1.548918936301975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999747 y[1] (closed_form) 2.9152037155611747 y[1] (numeric) 2.915203715561222 absolute error 4.707345624410664e-14 relative error 1.614757006271345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999736 y[1] (closed_form) 2.93467763760468 y[1] (numeric) 2.9346776376047297 absolute error 4.973799150320701e-14 relative error 1.6948366275692132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999725 y[1] (closed_form) 2.954183091621657 y[1] (numeric) 2.954183091621709 absolute error 5.1958437552457326e-14 relative error 1.7588089817390254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999714 y[1] (closed_form) 2.9737191270746255 y[1] (numeric) 2.9737191270746797 absolute error 5.417888360170764e-14 relative error 1.821923365540098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999703 y[1] (closed_form) 2.9932847903679862 y[1] (numeric) 2.993284790368042 absolute error 5.595524044110789e-14 relative error 1.869359060693617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999692 y[1] (closed_form) 3.0128791249433817 y[1] (numeric) 3.0128791249434395 absolute error 5.773159728050814e-14 relative error 1.916160419532033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.299999999999968 y[1] (closed_form) 3.0325011713753502 y[1] (numeric) 3.0325011713754093 absolute error 5.906386491005833e-14 relative error 1.947694710477909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.309999999999967 y[1] (closed_form) 3.0521499674672654 y[1] (numeric) 3.052149967467327 absolute error 6.17284001691587e-14 relative error 2.0224563283953625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999659 y[1] (closed_form) 3.0718245483475597 y[1] (numeric) 3.0718245483476236 absolute error 6.394884621840902e-14 relative error 2.0817870686269927e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999648 y[1] (closed_form) 3.091523946566207 y[1] (numeric) 3.091523946566274 absolute error 6.661338147750939e-14 relative error 2.1547101891770133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999637 y[1] (closed_form) 3.1112471921914686 y[1] (numeric) 3.111247192191538 absolute error 6.927791673660977e-14 relative error 2.2266927845039693e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999626 y[1] (closed_form) 3.1309933129068845 y[1] (numeric) 3.1309933129069556 absolute error 7.105427357601002e-14 relative error 2.2693843925856755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999615 y[1] (closed_form) 3.1507613341085046 y[1] (numeric) 3.1507613341085774 absolute error 7.283063041541027e-14 relative error 2.3115248250314524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999604 y[1] (closed_form) 3.1705502790023488 y[1] (numeric) 3.1705502790024234 absolute error 7.460698725481052e-14 relative error 2.3531242430978414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999593 y[1] (closed_form) 3.190359168702085 y[1] (numeric) 3.1903591687021615 absolute error 7.638334409421077e-14 relative error 2.3941926302073805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999582 y[1] (closed_form) 3.2101870223269175 y[1] (numeric) 3.2101870223269957 absolute error 7.815970093361102e-14 relative error 2.4347397952209225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.399999999999957 y[1] (closed_form) 3.2300328570996735 y[1] (numeric) 3.230032857099754 absolute error 8.038014698286133e-14 relative error 2.4885241277401945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.409999999999956 y[1] (closed_form) 3.2498956884450814 y[1] (numeric) 3.249895688445164 absolute error 8.260059303211165e-14 relative error 2.5416382847546735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999549 y[1] (closed_form) 3.2697745300882244 y[1] (numeric) 3.2697745300883096 absolute error 8.526512829121202e-14 relative error 2.6076760800051683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999538 y[1] (closed_form) 3.2896683941531712 y[1] (numeric) 3.2896683941532583 absolute error 8.704148513061227e-14 relative error 2.64590453205903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999527 y[1] (closed_form) 3.3095762912617603 y[1] (numeric) 3.3095762912618496 absolute error 8.926193117986259e-14 relative error 2.6970803306616598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999515 y[1] (closed_form) 3.329497230632537 y[1] (numeric) 3.3294972306326285 absolute error 9.14823772291129e-14 relative error 2.7476333780200534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999504 y[1] (closed_form) 3.3494302201798316 y[1] (numeric) 3.3494302201799258 absolute error 9.414691248821327e-14 relative error 2.810833673171985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999493 y[1] (closed_form) 3.3693742666129674 y[1] (numeric) 3.3693742666130633 absolute error 9.592326932761353e-14 relative error 2.84691642237891e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999482 y[1] (closed_form) 3.389328375535587 y[1] (numeric) 3.3893283755356856 absolute error 9.85878045867139e-14 relative error 2.9087711092949176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999471 y[1] (closed_form) 3.4092915515450937 y[1] (numeric) 3.4092915515451954 absolute error 1.0169642905566434e-13 relative error 2.982919692203368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.499999999999946 y[1] (closed_form) 3.4292627983321893 y[1] (numeric) 3.4292627983322927 absolute error 1.0347278589506459e-13 relative error 3.017347808554895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.509999999999945 y[1] (closed_form) 3.4492411187805043 y[1] (numeric) 3.44924111878061 absolute error 1.056932319443149e-13 relative error 3.064245969028783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999438 y[1] (closed_form) 3.4692255150663085 y[1] (numeric) 3.4692255150664173 absolute error 1.0880185641326534e-13 relative error 3.1362001674654978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999427 y[1] (closed_form) 3.4892149887582944 y[1] (numeric) 3.4892149887584054 absolute error 1.1102230246251565e-13 relative error 3.1818705015372275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999416 y[1] (closed_form) 3.509208540917417 y[1] (numeric) 3.5092085409175304 absolute error 1.1324274851176597e-13 relative error 3.2270167814580994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999405 y[1] (closed_form) 3.5292051721967885 y[1] (numeric) 3.5292051721969036 absolute error 1.1501910535116622e-13 relative error 3.259065419525367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999394 y[1] (closed_form) 3.5492038829416117 y[1] (numeric) 3.549203882941728 absolute error 1.163513729807164e-13 relative error 3.2782386365554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5699999999999383 y[1] (closed_form) 3.5692036732891435 y[1] (numeric) 3.569203673289262 absolute error 1.1857181902996672e-13 relative error 3.322080494238053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999372 y[1] (closed_form) 3.589203543268683 y[1] (numeric) 3.5892035432688036 absolute error 1.2079226507921703e-13 relative error 3.3654336853019956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999361 y[1] (closed_form) 3.6092024929015647 y[1] (numeric) 3.609202492901688 absolute error 1.234568003383174e-13 relative error 3.4206116332105863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.599999999999935 y[1] (closed_form) 3.6291995223011586 y[1] (numeric) 3.6291995223012847 absolute error 1.2612133559741778e-13 relative error 3.4751832965482234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.609999999999934 y[1] (closed_form) 3.6491936317728557 y[1] (numeric) 3.649193631772984 absolute error 1.283417816466681e-13 relative error 3.5169901791239542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999328 y[1] (closed_form) 3.669183821914036 y[1] (numeric) 3.669183821914166 absolute error 1.3011813848606835e-13 relative error 3.5462420200629798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999317 y[1] (closed_form) 3.6891690937140122 y[1] (numeric) 3.6891690937141437 absolute error 1.3145040611561853e-13 relative error 3.5631439702668366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999306 y[1] (closed_form) 3.7091484486539237 y[1] (numeric) 3.709148448654058 absolute error 1.341149413747189e-13 relative error 3.6157879155090212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999295 y[1] (closed_form) 3.7291208888065936 y[1] (numeric) 3.72912088880673 absolute error 1.3633538742396922e-13 relative error 3.655965882822312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999284 y[1] (closed_form) 3.7490854169363166 y[1] (numeric) 3.7490854169364547 absolute error 1.3811174426336947e-13 relative error 3.6838783037445926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999273 y[1] (closed_form) 3.7690410365985834 y[1] (numeric) 3.769041036598724 absolute error 1.4077627952246985e-13 relative error 3.735068898308285e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999262 y[1] (closed_form) 3.7889867522397243 y[1] (numeric) 3.7889867522398673 absolute error 1.4299672557172016e-13 relative error 3.774009647491978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999251 y[1] (closed_form) 3.808921569296463 y[1] (numeric) 3.8089215692966087 absolute error 1.4566126083082054e-13 relative error 3.824212659168125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.699999999999924 y[1] (closed_form) 3.8288444942953737 y[1] (numeric) 3.8288444942955215 absolute error 1.4788170688007085e-13 relative error 3.8623064243115905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.709999999999923 y[1] (closed_form) 3.8487545349522243 y[1] (numeric) 3.848754534952375 absolute error 1.5054624213917123e-13 relative error 3.911557382316667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999218 y[1] (closed_form) 3.868650700271208 y[1] (numeric) 3.868650700271361 absolute error 1.532107773982716e-13 relative error 3.96031560532283e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999207 y[1] (closed_form) 3.88853200064404 y[1] (numeric) 3.8885320006441955 absolute error 1.5543122344752192e-13 relative error 3.997169713963484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999196 y[1] (closed_form) 3.908397447948917 y[1] (numeric) 3.9083974479490746 absolute error 1.5765166949677223e-13 relative error 4.033665245061145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999185 y[1] (closed_form) 3.92824605564933 y[1] (numeric) 3.9282460556494905 absolute error 1.603162047558726e-13 relative error 4.081114127902375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999174 y[1] (closed_form) 3.9480768388927165 y[1] (numeric) 3.948076838892879 absolute error 1.6253665080512292e-13 relative error 4.1168563185996195e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999163 y[1] (closed_form) 3.9678888146089433 y[1] (numeric) 3.9678888146091085 absolute error 1.652011860642233e-13 relative error 4.163453004428622e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999152 y[1] (closed_form) 3.9876810016086157 y[1] (numeric) 3.9876810016087827 absolute error 1.6697754290362354e-13 relative error 4.187334514377289e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.789999999999914 y[1] (closed_form) 4.007452420681195 y[1] (numeric) 4.007452420681364 absolute error 1.6964207816272392e-13 relative error 4.233165122242121e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.799999999999913 y[1] (closed_form) 4.027202094692916 y[1] (numeric) 4.027202094693087 absolute error 1.7141843500212417e-13 relative error 4.256514348460957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.809999999999912 y[1] (closed_form) 4.046929048684501 y[1] (numeric) 4.046929048684675 absolute error 1.7408297026122455e-13 relative error 4.301606679213022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999108 y[1] (closed_form) 4.066632309968658 y[1] (numeric) 4.066632309968834 absolute error 1.758593271006248e-13 relative error 4.324446217316858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999097 y[1] (closed_form) 4.086310908227345 y[1] (numeric) 4.086310908227523 absolute error 1.7763568394002505e-13 relative error 4.3470917394556254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999086 y[1] (closed_form) 4.105963875608801 y[1] (numeric) 4.105963875608981 absolute error 1.8030021919912542e-13 relative error 4.391178896389874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999075 y[1] (closed_form) 4.1255902468243315 y[1] (numeric) 4.125590246824514 absolute error 1.8207657603852567e-13 relative error 4.413346094626797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999064 y[1] (closed_form) 4.145189059244838 y[1] (numeric) 4.145189059245023 absolute error 1.8562928971732617e-13 relative error 4.47818632791489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999053 y[1] (closed_form) 4.164759352997075 y[1] (numeric) 4.164759352997264 absolute error 1.8918200339612667e-13 relative error 4.542447410796643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999042 y[1] (closed_form) 4.184300171059646 y[1] (numeric) 4.184300171059838 absolute error 1.9184653865522705e-13 relative error 4.584913386045228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.889999999999903 y[1] (closed_form) 4.203810559358693 y[1] (numeric) 4.203810559358886 absolute error 1.9273471707492718e-13 relative error 4.5847621902431676e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.899999999999902 y[1] (closed_form) 4.223289566863313 y[1] (numeric) 4.223289566863507 absolute error 1.936228954946273e-13 relative error 4.584646456966324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999009 y[1] (closed_form) 4.2427362456806526 y[1] (numeric) 4.242736245680849 absolute error 1.9628743075372768e-13 relative error 4.6264349086879835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998998 y[1] (closed_form) 4.262149651150704 y[1] (numeric) 4.262149651150901 absolute error 1.971756091734278e-13 relative error 4.626200985697298e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998987 y[1] (closed_form) 4.281528841940764 y[1] (numeric) 4.281528841940964 absolute error 1.9984014443252818e-13 relative error 4.667494995594684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998976 y[1] (closed_form) 4.300872880139569 y[1] (numeric) 4.300872880139772 absolute error 2.0250467969162855e-13 relative error 4.7084553609279655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998965 y[1] (closed_form) 4.320180831351087 y[1] (numeric) 4.3201808313512915 absolute error 2.042810365310288e-13 relative error 4.728529765434431e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998954 y[1] (closed_form) 4.339451764787953 y[1] (numeric) 4.3394517647881585 absolute error 2.0516921495072893e-13 relative error 4.7279985139033915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998943 y[1] (closed_form) 4.358684753364549 y[1] (numeric) 4.358684753364757 absolute error 2.078337502098293e-13 relative error 4.768267538720221e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998932 y[1] (closed_form) 4.377878873789711 y[1] (numeric) 4.377878873789921 absolute error 2.1049828546892968e-13 relative error 4.8082254337638136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.989999999999892 y[1] (closed_form) 4.397033206659059 y[1] (numeric) 4.397033206659271 absolute error 2.1227464230832993e-13 relative error 4.827678853706448e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.999999999999891 y[1] (closed_form) 4.416146836546934 y[1] (numeric) 4.41614683654715 absolute error 2.1582735598713043e-13 relative error 4.887232331157942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.00999999999989 y[1] (closed_form) 4.435218852097943 y[1] (numeric) 4.43521885209816 absolute error 2.1671553440683056e-13 relative error 4.886242181810712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.019999999999889 y[1] (closed_form) 4.4542483461180895 y[1] (numeric) 4.454248346118309 absolute error 2.1938006966593093e-13 relative error 4.9251872059877916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.029999999999888 y[1] (closed_form) 4.473234415665496 y[1] (numeric) 4.4732344156657184 absolute error 2.220446049250313e-13 relative error 4.963849069644544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.039999999999887 y[1] (closed_form) 4.492176162140698 y[1] (numeric) 4.492176162140923 absolute error 2.2470914018413168e-13 relative error 5.002233484918565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998857 y[1] (closed_form) 4.511072691376498 y[1] (numeric) 4.511072691376724 absolute error 2.2648549702353193e-13 relative error 5.020657225419764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0599999999998846 y[1] (closed_form) 4.529923113727385 y[1] (numeric) 4.529923113727615 absolute error 2.3003821070233244e-13 relative error 5.0781923870899575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0699999999998835 y[1] (closed_form) 4.548726544158502 y[1] (numeric) 4.548726544158734 absolute error 2.327027459614328e-13 relative error 5.1157778710674725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0799999999998824 y[1] (closed_form) 4.567482102334139 y[1] (numeric) 4.567482102334373 absolute error 2.3359092438113294e-13 relative error 5.114216523404875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0899999999998813 y[1] (closed_form) 4.5861889127057776 y[1] (numeric) 4.586188912706013 absolute error 2.353672812205332e-13 relative error 5.1320886622978265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.09999999999988 y[1] (closed_form) 4.604846104599634 y[1] (numeric) 4.604846104599873 absolute error 2.389199948993337e-13 relative error 5.188446898598503e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.109999999999879 y[1] (closed_form) 4.623452812303735 y[1] (numeric) 4.6234528123039755 absolute error 2.4069635173873394e-13 relative error 5.205986986569931e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.119999999999878 y[1] (closed_form) 4.642008175154482 y[1] (numeric) 4.642008175154724 absolute error 2.424727085781342e-13 relative error 5.22344423855016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.129999999999877 y[1] (closed_form) 4.660511337622717 y[1] (numeric) 4.660511337622962 absolute error 2.4513724383723456e-13 relative error 5.259878714559179e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.139999999999876 y[1] (closed_form) 4.678961449399283 y[1] (numeric) 4.67896144939953 absolute error 2.469136006766348e-13 relative error 5.277102693554683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998747 y[1] (closed_form) 4.697357665480041 y[1] (numeric) 4.697357665480291 absolute error 2.495781359357352e-13 relative error 5.313160157461202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1599999999998736 y[1] (closed_form) 4.7156991462503814 y[1] (numeric) 4.715699146250635 absolute error 2.531308496145357e-13 relative error 5.367832886790688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1699999999998725 y[1] (closed_form) 4.733985057569177 y[1] (numeric) 4.733985057569432 absolute error 2.5579538487363607e-13 relative error 5.403383867142639e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1799999999998714 y[1] (closed_form) 4.752214570852203 y[1] (numeric) 4.75221457085246 absolute error 2.566835632933362e-13 relative error 5.401346245342322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1899999999998703 y[1] (closed_form) 4.770386863154986 y[1] (numeric) 4.770386863155244 absolute error 2.5845992013273644e-13 relative error 5.418007544188965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.199999999999869 y[1] (closed_form) 4.788501117255109 y[1] (numeric) 4.788501117255369 absolute error 2.602362769721367e-13 relative error 5.434608254227803e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.209999999999868 y[1] (closed_form) 4.806556521733922 y[1] (numeric) 4.806556521734184 absolute error 2.6201263381153694e-13 relative error 5.451150582059903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.219999999999867 y[1] (closed_form) 4.824552271057691 y[1] (numeric) 4.824552271057954 absolute error 2.6290081223123707e-13 relative error 5.4492271502242655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.229999999999866 y[1] (closed_form) 4.8424875656581445 y[1] (numeric) 4.84248756565841 absolute error 2.6556534749033744e-13 relative error 5.484068753705604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998648 y[1] (closed_form) 4.860361612012438 y[1] (numeric) 4.860361612012706 absolute error 2.673417043297377e-13 relative error 5.500448848682363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2499999999998637 y[1] (closed_form) 4.878173622722496 y[1] (numeric) 4.878173622722765 absolute error 2.6911806116913795e-13 relative error 5.516779064926842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2599999999998626 y[1] (closed_form) 4.8959228165937585 y[1] (numeric) 4.89592281659403 absolute error 2.717825964282383e-13 relative error 5.551202635529407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2699999999998615 y[1] (closed_form) 4.913608418713296 y[1] (numeric) 4.913608418713569 absolute error 2.7267077484793845e-13 relative error 5.549298023210028e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2799999999998604 y[1] (closed_form) 4.9312296605273005 y[1] (numeric) 4.931229660527575 absolute error 2.744471316873387e-13 relative error 5.565490771686992e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2899999999998593 y[1] (closed_form) 4.948785779917941 y[1] (numeric) 4.948785779918218 absolute error 2.7711166694643907e-13 relative error 5.599589056187315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.299999999999858 y[1] (closed_form) 4.966276021279576 y[1] (numeric) 4.966276021279855 absolute error 2.788880237858393e-13 relative error 5.615636798898322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.309999999999857 y[1] (closed_form) 4.983699635594313 y[1] (numeric) 4.983699635594593 absolute error 2.7977620220553945e-13 relative error 5.613825524462526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.319999999999856 y[1] (closed_form) 5.001055880506903 y[1] (numeric) 5.001055880507186 absolute error 2.8332891588433995e-13 relative error 5.665381924419168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.329999999999855 y[1] (closed_form) 5.018344020398988 y[1] (numeric) 5.018344020399273 absolute error 2.851052727237402e-13 relative error 5.681262017207673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998538 y[1] (closed_form) 5.0355633264626505 y[1] (numeric) 5.035563326462937 absolute error 2.8688162956314045e-13 relative error 5.697110947955592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3499999999998527 y[1] (closed_form) 5.052713076773301 y[1] (numeric) 5.052713076773588 absolute error 2.8688162956314045e-13 relative error 5.677774003869326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3599999999998515 y[1] (closed_form) 5.069792556361868 y[1] (numeric) 5.069792556362155 absolute error 2.8688162956314045e-13 relative error 5.658646312917573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3699999999998504 y[1] (closed_form) 5.086801057286289 y[1] (numeric) 5.0868010572865785 absolute error 2.8954616482224083e-13 relative error 5.692107113320216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3799999999998493 y[1] (closed_form) 5.103737878702314 y[1] (numeric) 5.103737878702605 absolute error 2.9043434324194095e-13 relative error 5.690620289374801e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3899999999998482 y[1] (closed_form) 5.120602326933582 y[1] (numeric) 5.120602326933874 absolute error 2.913225216616411e-13 relative error 5.6892237096665235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.399999999999847 y[1] (closed_form) 5.1373937155409894 y[1] (numeric) 5.137393715541283 absolute error 2.9398705692074145e-13 relative error 5.722494190612824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.409999999999846 y[1] (closed_form) 5.154111365391335 y[1] (numeric) 5.154111365391632 absolute error 2.9665159217984183e-13 relative error 5.7556302367036265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.419999999999845 y[1] (closed_form) 5.170754604725234 y[1] (numeric) 5.1707546047255315 absolute error 2.9753977059954195e-13 relative error 5.754281402711293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.429999999999844 y[1] (closed_form) 5.187322769224286 y[1] (numeric) 5.1873227692245845 absolute error 2.984279490192421e-13 relative error 5.753024484803152e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998427 y[1] (closed_form) 5.203815202077515 y[1] (numeric) 5.2038152020778154 absolute error 3.0020430585864233e-13 relative error 5.768927108303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4499999999998416 y[1] (closed_form) 5.220231254047048 y[1] (numeric) 5.2202312540473494 absolute error 3.0109248427834245e-13 relative error 5.767799731954726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4599999999998405 y[1] (closed_form) 5.236570283533033 y[1] (numeric) 5.236570283533337 absolute error 3.0375701953744283e-13 relative error 5.8006863861378875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4699999999998394 y[1] (closed_form) 5.252831656637804 y[1] (numeric) 5.252831656638111 absolute error 3.064215547965432e-13 relative error 5.833454693133558e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4799999999998383 y[1] (closed_form) 5.269014747229271 y[1] (numeric) 5.269014747229578 absolute error 3.0730973321624333e-13 relative error 5.832394630852821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4899999999998372 y[1] (closed_form) 5.2851189370035225 y[1] (numeric) 5.2851189370038325 absolute error 3.099742684753437e-13 relative error 5.865038652301139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.499999999999836 y[1] (closed_form) 5.301143615546671 y[1] (numeric) 5.301143615546984 absolute error 3.126388037344441e-13 relative error 5.8975727957561425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.509999999999835 y[1] (closed_form) 5.317088180395883 y[1] (numeric) 5.3170881803961985 absolute error 3.1530333899354446e-13 relative error 5.930000186118196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.519999999999834 y[1] (closed_form) 5.332952037099627 y[1] (numeric) 5.332952037099943 absolute error 3.161915174132446e-13 relative error 5.929014834815731e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.529999999999833 y[1] (closed_form) 5.348734599277119 y[1] (numeric) 5.348734599277437 absolute error 3.1796787425264483e-13 relative error 5.944730820923853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998317 y[1] (closed_form) 5.364435288676958 y[1] (numeric) 5.364435288677277 absolute error 3.1885605267234496e-13 relative error 5.9438885085513835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5499999999998306 y[1] (closed_form) 5.380053535234959 y[1] (numeric) 5.380053535235278 absolute error 3.1885605267234496e-13 relative error 5.926633454185876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5599999999998295 y[1] (closed_form) 5.3955887771311435 y[1] (numeric) 5.395588777131462 absolute error 3.1885605267234496e-13 relative error 5.90956920260113e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5699999999998284 y[1] (closed_form) 5.411040460845937 y[1] (numeric) 5.411040460846258 absolute error 3.206324095117452e-13 relative error 5.925522306325889e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5799999999998273 y[1] (closed_form) 5.426408041215511 y[1] (numeric) 5.426408041215835 absolute error 3.232969447708456e-13 relative error 5.957844347776459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.589999999999826 y[1] (closed_form) 5.4416909814863015 y[1] (numeric) 5.441690981486625 absolute error 3.232969447708456e-13 relative error 5.941111795410013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.599999999999825 y[1] (closed_form) 5.456888753368682 y[1] (numeric) 5.45688875336901 absolute error 3.277378368693462e-13 relative error 6.00594682578099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.609999999999824 y[1] (closed_form) 5.472000837089798 y[1] (numeric) 5.472000837090127 absolute error 3.2951419370874646e-13 relative error 6.021822794237614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.619999999999823 y[1] (closed_form) 5.487026721445536 y[1] (numeric) 5.487026721445868 absolute error 3.312905505481467e-13 relative error 6.037706163400449e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.629999999999822 y[1] (closed_form) 5.5019659038516515 y[1] (numeric) 5.501965903851984 absolute error 3.3217872896784684e-13 relative error 6.0374552436849e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998207 y[1] (closed_form) 5.516817890394016 y[1] (numeric) 5.51681789039435 absolute error 3.339550858072471e-13 relative error 6.053400573340218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998196 y[1] (closed_form) 5.53158219587802 y[1] (numeric) 5.531582195878354 absolute error 3.339550858072471e-13 relative error 6.037243486250662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6599999999998185 y[1] (closed_form) 5.546258343877087 y[1] (numeric) 5.546258343877422 absolute error 3.348432642269472e-13 relative error 6.037282136282108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6699999999998174 y[1] (closed_form) 5.56084586678031 y[1] (numeric) 5.5608458667806495 absolute error 3.3928415632544784e-13 relative error 6.101304809620464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6799999999998163 y[1] (closed_form) 5.575344305839227 y[1] (numeric) 5.575344305839566 absolute error 3.3928415632544784e-13 relative error 6.085438633271586e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.689999999999815 y[1] (closed_form) 5.589753211213676 y[1] (numeric) 5.589753211214018 absolute error 3.419486915845482e-13 relative error 6.117420191262837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.699999999999814 y[1] (closed_form) 5.604072142016795 y[1] (numeric) 5.604072142017139 absolute error 3.4372504842394846e-13 relative error 6.133487216319963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.709999999999813 y[1] (closed_form) 5.618300666359104 y[1] (numeric) 5.618300666359449 absolute error 3.446132268436486e-13 relative error 6.1337626323044844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.719999999999812 y[1] (closed_form) 5.632438361391692 y[1] (numeric) 5.632438361392039 absolute error 3.4638958368304884e-13 relative error 6.14990456100546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.729999999999811 y[1] (closed_form) 5.646484813348504 y[1] (numeric) 5.646484813348852 absolute error 3.481659405224491e-13 relative error 6.166065296047048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998097 y[1] (closed_form) 5.660439617587716 y[1] (numeric) 5.660439617588067 absolute error 3.5083047578154947e-13 relative error 6.197936900368549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998086 y[1] (closed_form) 5.674302378632198 y[1] (numeric) 5.674302378632551 absolute error 3.526068326209497e-13 relative error 6.214100149980838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7599999999998075 y[1] (closed_form) 5.6880727102090685 y[1] (numeric) 5.688072710209422 absolute error 3.5349501104064984e-13 relative error 6.214671103029147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7699999999998064 y[1] (closed_form) 5.7017502352883085 y[1] (numeric) 5.701750235288665 absolute error 3.561595462997502e-13 relative error 6.246495051562725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7799999999998053 y[1] (closed_form) 5.715334586120475 y[1] (numeric) 5.715334586120834 absolute error 3.588240815588506e-13 relative error 6.2782690348565855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.789999999999804 y[1] (closed_form) 5.728825404273473 y[1] (numeric) 5.728825404273834 absolute error 3.6060043839825084e-13 relative error 6.294491679380863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.799999999999803 y[1] (closed_form) 5.742222340668395 y[1] (numeric) 5.742222340668757 absolute error 3.623767952376511e-13 relative error 6.31074127295932e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.809999999999802 y[1] (closed_form) 5.7555250556144335 y[1] (numeric) 5.755525055614798 absolute error 3.6415315207705135e-13 relative error 6.327018795997163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.819999999999801 y[1] (closed_form) 5.768733218842845 y[1] (numeric) 5.768733218843211 absolute error 3.659295089164516e-13 relative error 6.3433252160316346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999998 y[1] (closed_form) 5.781846509539981 y[1] (numeric) 5.781846509540348 absolute error 3.6770586575585185e-13 relative error 6.359661487885252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997987 y[1] (closed_form) 5.794864616379366 y[1] (numeric) 5.7948646163797335 absolute error 3.6770586575585185e-13 relative error 6.345374570382882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997976 y[1] (closed_form) 5.80778723755283 y[1] (numeric) 5.807787237553199 absolute error 3.6859404417555197e-13 relative error 6.3465486785094906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8599999999997965 y[1] (closed_form) 5.820614080800692 y[1] (numeric) 5.820614080801063 absolute error 3.703704010149522e-13 relative error 6.3630812122834215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8699999999997954 y[1] (closed_form) 5.833344863440983 y[1] (numeric) 5.833344863441355 absolute error 3.7214675785435247e-13 relative error 6.379646096130684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8799999999997943 y[1] (closed_form) 5.845979312397716 y[1] (numeric) 5.84597931239809 absolute error 3.739231146937527e-13 relative error 6.396244234062965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.889999999999793 y[1] (closed_form) 5.858517164228188 y[1] (numeric) 5.858517164228564 absolute error 3.7569947153315297e-13 relative error 6.412876518091559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.899999999999792 y[1] (closed_form) 5.870958165149332 y[1] (numeric) 5.87095816514971 absolute error 3.774758283725532e-13 relative error 6.429543828353133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.909999999999791 y[1] (closed_form) 5.883302071063092 y[1] (numeric) 5.88330207106347 absolute error 3.7836400679225335e-13 relative error 6.431150435964004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.91999999999979 y[1] (closed_form) 5.895548647580826 y[1] (numeric) 5.895548647581206 absolute error 3.801403636316536e-13 relative error 6.4479217517378984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997888 y[1] (closed_form) 5.907697670046758 y[1] (numeric) 5.907697670047138 absolute error 3.801403636316536e-13 relative error 6.434661772877163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997877 y[1] (closed_form) 5.91974892356043 y[1] (numeric) 5.919748923560812 absolute error 3.8191672047105385e-13 relative error 6.451569575037825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997866 y[1] (closed_form) 5.9317022029982 y[1] (numeric) 5.931702202998584 absolute error 3.836930773104541e-13 relative error 6.468515515099781e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9599999999997855 y[1] (closed_form) 5.943557313033754 y[1] (numeric) 5.943557313034139 absolute error 3.8546943414985435e-13 relative error 6.485500414113114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9699999999997844 y[1] (closed_form) 5.955314068157632 y[1] (numeric) 5.955314068158018 absolute error 3.863576125695545e-13 relative error 6.487611033570227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9799999999997833 y[1] (closed_form) 5.966972292695786 y[1] (numeric) 5.966972292696173 absolute error 3.872457909892546e-13 relative error 6.489820498467623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.989999999999782 y[1] (closed_form) 5.978531820827145 y[1] (numeric) 5.978531820827534 absolute error 3.8902214782865485e-13 relative error 6.506984649198248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.999999999999781 y[1] (closed_form) 5.989992496600196 y[1] (numeric) 5.989992496600585 absolute error 3.8902214782865485e-13 relative error 6.494534810343358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.00999999999978 y[1] (closed_form) 6.001354173948577 y[1] (numeric) 6.001354173948968 absolute error 3.907985046680551e-13 relative error 6.511838717409509e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.019999999999779 y[1] (closed_form) 6.01261671670569 y[1] (numeric) 6.012616716706082 absolute error 3.9257486150745535e-13 relative error 6.529184879134404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997778 y[1] (closed_form) 6.023779998618309 y[1] (numeric) 6.023779998618703 absolute error 3.934630399271555e-13 relative error 6.531829515975105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997767 y[1] (closed_form) 6.034843903359214 y[1] (numeric) 6.034843903359608 absolute error 3.943512183468556e-13 relative error 6.5345719733918115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997756 y[1] (closed_form) 6.045808324538816 y[1] (numeric) 6.0458083245392125 absolute error 3.9612757518625585e-13 relative error 6.552102778026346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0599999999997745 y[1] (closed_form) 6.056673165715802 y[1] (numeric) 6.0566731657162 absolute error 3.979039320256561e-13 relative error 6.569678124255038e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0699999999997734 y[1] (closed_form) 6.067438340406776 y[1] (numeric) 6.067438340407174 absolute error 3.979039320256561e-13 relative error 6.558021848788654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0799999999997723 y[1] (closed_form) 6.078103772094904 y[1] (numeric) 6.078103772095304 absolute error 3.9968028886505635e-13 relative error 6.575739800627012e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.089999999999771 y[1] (closed_form) 6.088669394237574 y[1] (numeric) 6.088669394237973 absolute error 3.9968028886505635e-13 relative error 6.564328968876533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.09999999999977 y[1] (closed_form) 6.099135150273041 y[1] (numeric) 6.099135150273443 absolute error 4.0234482412415673e-13 relative error 6.596752067481976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.109999999999769 y[1] (closed_form) 6.10950099362609 y[1] (numeric) 6.109500993626493 absolute error 4.0323300254385686e-13 relative error 6.600097175932063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.119999999999768 y[1] (closed_form) 6.119766887712691 y[1] (numeric) 6.119766887713096 absolute error 4.050093593832571e-13 relative error 6.618052073134315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997667 y[1] (closed_form) 6.129932805943659 y[1] (numeric) 6.129932805944063 absolute error 4.04121180963557e-13 relative error 6.592587451720777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997656 y[1] (closed_form) 6.139998731727305 y[1] (numeric) 6.1399987317277125 absolute error 4.076738946423575e-13 relative error 6.6396413493667065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1499999999997645 y[1] (closed_form) 6.1499646584711085 y[1] (numeric) 6.149964658471518 absolute error 4.0945025148175773e-13 relative error 6.65776592582156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1599999999997634 y[1] (closed_form) 6.159830589582366 y[1] (numeric) 6.159830589582778 absolute error 4.11226608321158e-13 relative error 6.675940228236682e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1699999999997623 y[1] (closed_form) 6.1695965384678555 y[1] (numeric) 6.169596538468267 absolute error 4.11226608321158e-13 relative error 6.665372780166937e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1799999999997612 y[1] (closed_form) 6.179262528532491 y[1] (numeric) 6.179262528532904 absolute error 4.1300296516055823e-13 relative error 6.6836934545754285e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.18999999999976 y[1] (closed_form) 6.188828593176991 y[1] (numeric) 6.188828593177404 absolute error 4.1300296516055823e-13 relative error 6.6733624779313225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.199999999999759 y[1] (closed_form) 6.198294775794526 y[1] (numeric) 6.19829477579494 absolute error 4.1389114358025836e-13 relative error 6.677500160150158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.209999999999758 y[1] (closed_form) 6.207661129766392 y[1] (numeric) 6.207661129766806 absolute error 4.1389114358025836e-13 relative error 6.667424895273464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.219999999999757 y[1] (closed_form) 6.216927718456663 y[1] (numeric) 6.216927718457078 absolute error 4.147793219999585e-13 relative error 6.6717732742584696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997557 y[1] (closed_form) 6.226094615205858 y[1] (numeric) 6.226094615206274 absolute error 4.1655567883935873e-13 relative error 6.690481025168068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997546 y[1] (closed_form) 6.235161903323609 y[1] (numeric) 6.235161903324027 absolute error 4.1744385725905886e-13 relative error 6.694996276464663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2499999999997535 y[1] (closed_form) 6.244129676080327 y[1] (numeric) 6.244129676080745 absolute error 4.18332035678759e-13 relative error 6.699605187273459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2599999999997524 y[1] (closed_form) 6.252998036697875 y[1] (numeric) 6.252998036698294 absolute error 4.192202140984591e-13 relative error 6.704307464005598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2699999999997513 y[1] (closed_form) 6.261767098339249 y[1] (numeric) 6.261767098339667 absolute error 4.18332035678759e-13 relative error 6.6807345132607914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2799999999997502 y[1] (closed_form) 6.270436984097257 y[1] (numeric) 6.270436984097678 absolute error 4.2099657093785936e-13 relative error 6.713990938838363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.289999999999749 y[1] (closed_form) 6.27900782698222 y[1] (numeric) 6.27900782698264 absolute error 4.2010839251815923e-13 relative error 6.690681140941806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.299999999999748 y[1] (closed_form) 6.287479769908653 y[1] (numeric) 6.2874797699090745 absolute error 4.218847493575595e-13 relative error 6.709918199286529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.309999999999747 y[1] (closed_form) 6.295852965680993 y[1] (numeric) 6.295852965681414 absolute error 4.2099657093785936e-13 relative error 6.686886959284668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.319999999999746 y[1] (closed_form) 6.304127576978305 y[1] (numeric) 6.304127576978729 absolute error 4.2366110619695974e-13 relative error 6.720376468016039e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997447 y[1] (closed_form) 6.312303776338024 y[1] (numeric) 6.3123037763384495 absolute error 4.2543746303636e-13 relative error 6.7398128814892095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997436 y[1] (closed_form) 6.320381746138693 y[1] (numeric) 6.32038174613912 absolute error 4.263256414560601e-13 relative error 6.745251451251579e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3499999999997425 y[1] (closed_form) 6.3283616785817305 y[1] (numeric) 6.328361678582158 absolute error 4.2721381987576024e-13 relative error 6.750780716621501e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3599999999997414 y[1] (closed_form) 6.336243775672207 y[1] (numeric) 6.336243775672636 absolute error 4.289901767151605e-13 relative error 6.770417804350485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3699999999997403 y[1] (closed_form) 6.344028249198651 y[1] (numeric) 6.344028249199081 absolute error 4.298783551348606e-13 relative error 6.7761103552645895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.379999999999739 y[1] (closed_form) 6.351715320711863 y[1] (numeric) 6.351715320712292 absolute error 4.289901767151605e-13 relative error 6.753926381371289e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.389999999999738 y[1] (closed_form) 6.359305221502764 y[1] (numeric) 6.3593052215031936 absolute error 4.298783551348606e-13 relative error 6.759832091111304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.399999999999737 y[1] (closed_form) 6.366798192579266 y[1] (numeric) 6.3667981925796955 absolute error 4.298783551348606e-13 relative error 6.751876565459534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.409999999999736 y[1] (closed_form) 6.374194484642171 y[1] (numeric) 6.374194484642603 absolute error 4.3165471197426086e-13 relative error 6.771909972535027e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.419999999999735 y[1] (closed_form) 6.381494358060106 y[1] (numeric) 6.3814943580605386 absolute error 4.32542890393961e-13 relative error 6.778081529565883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997337 y[1] (closed_form) 6.388698082843478 y[1] (numeric) 6.38869808284391 absolute error 4.32542890393961e-13 relative error 6.770438746440888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997326 y[1] (closed_form) 6.395805938617478 y[1] (numeric) 6.395805938617911 absolute error 4.32542890393961e-13 relative error 6.76291454970974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4499999999997315 y[1] (closed_form) 6.402818214594118 y[1] (numeric) 6.402818214594551 absolute error 4.32542890393961e-13 relative error 6.755507901318425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4599999999997304 y[1] (closed_form) 6.409735209543311 y[1] (numeric) 6.4097352095437445 absolute error 4.334310688136611e-13 relative error 6.7620744795874765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4699999999997293 y[1] (closed_form) 6.416557231762994 y[1] (numeric) 6.416557231763427 absolute error 4.334310688136611e-13 relative error 6.754885106737728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.479999999999728 y[1] (closed_form) 6.423284599048294 y[1] (numeric) 6.4232845990487295 absolute error 4.3520742565306136e-13 relative error 6.775465401572645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.489999999999727 y[1] (closed_form) 6.429917638659758 y[1] (numeric) 6.429917638660195 absolute error 4.369837824924616e-13 relative error 6.796102330535386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.499999999999726 y[1] (closed_form) 6.436456687290619 y[1] (numeric) 6.436456687291056 absolute error 4.369837824924616e-13 relative error 6.789197903798944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.509999999999725 y[1] (closed_form) 6.442902091033128 y[1] (numeric) 6.442902091033567 absolute error 4.3876013933186186e-13 relative error 6.809976826165088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.519999999999724 y[1] (closed_form) 6.44925420534395 y[1] (numeric) 6.449254205344388 absolute error 4.3876013933186186e-13 relative error 6.803269422506227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997227 y[1] (closed_form) 6.455513395008612 y[1] (numeric) 6.455513395009052 absolute error 4.39648317751562e-13 relative error 6.810431500173124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997216 y[1] (closed_form) 6.461680034105033 y[1] (numeric) 6.461680034105474 absolute error 4.4142467459096224e-13 relative error 6.8314226681157735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5499999999997205 y[1] (closed_form) 6.4677545059661075 y[1] (numeric) 6.46775450596655 absolute error 4.4231285301066237e-13 relative error 6.838739049273683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5599999999997194 y[1] (closed_form) 6.473737203141378 y[1] (numeric) 6.47373720314182 absolute error 4.4142467459096224e-13 relative error 6.818699319100583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5699999999997183 y[1] (closed_form) 6.47962852735778 y[1] (numeric) 6.479628527358222 absolute error 4.4231285301066237e-13 relative error 6.826206952191221e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.579999999999717 y[1] (closed_form) 6.485428889479467 y[1] (numeric) 6.48542888947991 absolute error 4.432010314303625e-13 relative error 6.833796792519218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.589999999999716 y[1] (closed_form) 6.491138709466728 y[1] (numeric) 6.4911387094671715 absolute error 4.432010314303625e-13 relative error 6.827785559165367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.599999999999715 y[1] (closed_form) 6.4967584163339875 y[1] (numeric) 6.496758416334433 absolute error 4.4586556668946287e-13 relative error 6.862892816954357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.609999999999714 y[1] (closed_form) 6.502288448106912 y[1] (numeric) 6.502288448107358 absolute error 4.46753745109163e-13 relative error 6.8707155745948446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.619999999999713 y[1] (closed_form) 6.507729251778596 y[1] (numeric) 6.507729251779042 absolute error 4.46753745109163e-13 relative error 6.864971295280346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997117 y[1] (closed_form) 6.513081283264873 y[1] (numeric) 6.51308128326532 absolute error 4.476419235288631e-13 relative error 6.8729669423758446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997106 y[1] (closed_form) 6.5183450073587235 y[1] (numeric) 6.518345007359171 absolute error 4.476419235288631e-13 relative error 6.867416852337655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6499999999997095 y[1] (closed_form) 6.523520897683788 y[1] (numeric) 6.5235208976842385 absolute error 4.503064587879635e-13 relative error 6.9028131564328596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6599999999997084 y[1] (closed_form) 6.528609436647018 y[1] (numeric) 6.528609436647467 absolute error 4.4853010194856324e-13 relative error 6.870224146520864e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6699999999997073 y[1] (closed_form) 6.533611115390421 y[1] (numeric) 6.5336111153908725 absolute error 4.511946372076636e-13 relative error 6.905746749218669e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.679999999999706 y[1] (closed_form) 6.538526433741959 y[1] (numeric) 6.538526433742411 absolute error 4.5208281562736374e-13 relative error 6.914139144477535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.689999999999705 y[1] (closed_form) 6.543355900165558 y[1] (numeric) 6.543355900166011 absolute error 4.5297099404706387e-13 relative error 6.922609758023446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.699999999999704 y[1] (closed_form) 6.548100031710269 y[1] (numeric) 6.548100031710722 absolute error 4.5297099404706387e-13 relative error 6.917594292290529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.709999999999703 y[1] (closed_form) 6.552759353958557 y[1] (numeric) 6.55275935395901 absolute error 4.5297099404706387e-13 relative error 6.912675555122007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997018 y[1] (closed_form) 6.557334400973745 y[1] (numeric) 6.557334400974199 absolute error 4.53859172466764e-13 relative error 6.921397395859013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997007 y[1] (closed_form) 6.561825715246613 y[1] (numeric) 6.561825715247067 absolute error 4.53859172466764e-13 relative error 6.91665996876765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996996 y[1] (closed_form) 6.566233847641142 y[1] (numeric) 6.5662338476415965 absolute error 4.547473508864641e-13 relative error 6.925543034837662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7499999999996985 y[1] (closed_form) 6.570559357339432 y[1] (numeric) 6.570559357339887 absolute error 4.547473508864641e-13 relative error 6.920983833415997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7599999999996974 y[1] (closed_form) 6.574802811785785 y[1] (numeric) 6.574802811786241 absolute error 4.556355293061642e-13 relative error 6.9300257718665915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7699999999996963 y[1] (closed_form) 6.57896478662996 y[1] (numeric) 6.578964786630415 absolute error 4.547473508864641e-13 relative error 6.9121414331114854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.779999999999695 y[1] (closed_form) 6.583045865669607 y[1] (numeric) 6.583045865670064 absolute error 4.565237077258644e-13 relative error 6.9348401490960625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.789999999999694 y[1] (closed_form) 6.587046640791891 y[1] (numeric) 6.587046640792348 absolute error 4.574118861455645e-13 relative error 6.944111846922868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.799999999999693 y[1] (closed_form) 6.590967711914297 y[1] (numeric) 6.590967711914756 absolute error 4.583000645652646e-13 relative error 6.95345637540917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.809999999999692 y[1] (closed_form) 6.59480968692465 y[1] (numeric) 6.5948096869251085 absolute error 4.583000645652646e-13 relative error 6.949405461599956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996908 y[1] (closed_form) 6.598573181620317 y[1] (numeric) 6.598573181620775 absolute error 4.583000645652646e-13 relative error 6.945441869794137e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996897 y[1] (closed_form) 6.6022588196466305 y[1] (numeric) 6.602258819647089 absolute error 4.583000645652646e-13 relative error 6.9415646536225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8399999999996886 y[1] (closed_form) 6.605867232434527 y[1] (numeric) 6.605867232434983 absolute error 4.565237077258644e-13 relative error 6.91088227574954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8499999999996875 y[1] (closed_form) 6.609399059137399 y[1] (numeric) 6.609399059137858 absolute error 4.591882429849647e-13 relative error 6.947503681898941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8599999999996863 y[1] (closed_form) 6.612854946567188 y[1] (numeric) 6.612854946567648 absolute error 4.600764214046649e-13 relative error 6.957303995356742e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8699999999996852 y[1] (closed_form) 6.616235549129698 y[1] (numeric) 6.616235549130159 absolute error 4.60964599824365e-13 relative error 6.967173348068003e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.879999999999684 y[1] (closed_form) 6.6195415287591555 y[1] (numeric) 6.619541528759616 absolute error 4.60964599824365e-13 relative error 6.963693751624119e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.889999999999683 y[1] (closed_form) 6.622773554852019 y[1] (numeric) 6.622773554852479 absolute error 4.600764214046649e-13 relative error 6.946884376978293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.899999999999682 y[1] (closed_form) 6.625932304200041 y[1] (numeric) 6.625932304200501 absolute error 4.600764214046649e-13 relative error 6.943572621667625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.909999999999681 y[1] (closed_form) 6.629018460922584 y[1] (numeric) 6.629018460923042 absolute error 4.583000645652646e-13 relative error 6.913543343813247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996797 y[1] (closed_form) 6.632032716398214 y[1] (numeric) 6.632032716398673 absolute error 4.591882429849647e-13 relative error 6.923793392176524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996786 y[1] (closed_form) 6.634975769195565 y[1] (numeric) 6.634975769196022 absolute error 4.574118861455645e-13 relative error 6.8939496097213605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9399999999996775 y[1] (closed_form) 6.637848325003472 y[1] (numeric) 6.637848325003931 absolute error 4.591882429849647e-13 relative error 6.917727258926552e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9499999999996764 y[1] (closed_form) 6.640651096560418 y[1] (numeric) 6.6406510965608785 absolute error 4.600764214046649e-13 relative error 6.928182413362529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9599999999996753 y[1] (closed_form) 6.643384803583249 y[1] (numeric) 6.643384803583708 absolute error 4.591882429849647e-13 relative error 6.911962148230401e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9699999999996742 y[1] (closed_form) 6.646050172695206 y[1] (numeric) 6.646050172695665 absolute error 4.583000645652646e-13 relative error 6.895826132161261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.979999999999673 y[1] (closed_form) 6.648647937353267 y[1] (numeric) 6.6486479373537275 absolute error 4.600764214046649e-13 relative error 6.919849354932377e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.989999999999672 y[1] (closed_form) 6.651178837774799 y[1] (numeric) 6.651178837775258 absolute error 4.591882429849647e-13 relative error 6.903862520987176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.999999999999671 y[1] (closed_form) 6.653643620863532 y[1] (numeric) 6.653643620863993 absolute error 4.60964599824365e-13 relative error 6.928002551548432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 6.656043040134882 y[1] (numeric) 6.6560430401353425 absolute error 4.60964599824365e-13 relative error 6.925505094315372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 6.658377855640585 y[1] (numeric) 6.658377855641047 absolute error 4.618527782440651e-13 relative error 6.936415869712331e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 6.660648833892704 y[1] (numeric) 6.6606488338931635 absolute error 4.591882429849647e-13 relative error 6.894046727826062e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 6.6628567477869725 y[1] (numeric) 6.662856747787432 absolute error 4.591882429849647e-13 relative error 6.891762203014215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 6.665002376525508 y[1] (numeric) 6.665002376525967 absolute error 4.591882429849647e-13 relative error 6.889543574691738e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 6.667086505538891 y[1] (numeric) 6.667086505539349 absolute error 4.583000645652646e-13 relative error 6.874068068331159e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 6.669109926407624 y[1] (numeric) 6.669109926408082 absolute error 4.583000645652646e-13 relative error 6.8719824627651936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 6.671073436782973 y[1] (numeric) 6.671073436783431 absolute error 4.574118861455645e-13 relative error 6.856645942817632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 6.672977840307203 y[1] (numeric) 6.672977840307661 absolute error 4.583000645652646e-13 relative error 6.8679991981535775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 6.674823946533215 y[1] (numeric) 6.674823946533673 absolute error 4.574118861455645e-13 relative error 6.852793269298677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 6.676612570843592 y[1] (numeric) 6.676612570844051 absolute error 4.583000645652646e-13 relative error 6.864260277234542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 6.678344534369061 y[1] (numeric) 6.67834453436952 absolute error 4.591882429849647e-13 relative error 6.875779478309691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 6.680020663906378 y[1] (numeric) 6.680020663906837 absolute error 4.591882429849647e-13 relative error 6.874054229593329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 6.681641791835653 y[1] (numeric) 6.681641791836111 absolute error 4.583000645652646e-13 relative error 6.859093600696536e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 6.683208756037112 y[1] (numeric) 6.68320875603757 absolute error 4.583000645652646e-13 relative error 6.857485398032353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 6.684722399807305 y[1] (numeric) 6.684722399807763 absolute error 4.574118861455645e-13 relative error 6.842645943812863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 6.6861835717747855 y[1] (numeric) 6.686183571775241 absolute error 4.556355293061642e-13 relative error 6.8145830041160535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 6.68759312581524 y[1] (numeric) 6.6875931258156935 absolute error 4.53859172466764e-13 relative error 6.786584708851244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 6.688951920966105 y[1] (numeric) 6.688951920966558 absolute error 4.53859172466764e-13 relative error 6.785206080554572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 6.690260821340666 y[1] (numeric) 6.690260821341119 absolute error 4.5297099404706387e-13 relative error 6.77060291285165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 6.691520696041642 y[1] (numeric) 6.691520696042094 absolute error 4.5208281562736374e-13 relative error 6.756054956159556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 6.692732419074279 y[1] (numeric) 6.692732419074732 absolute error 4.5297099404706387e-13 relative error 6.768102557874526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 6.6938968692589516 y[1] (numeric) 6.693896869259404 absolute error 4.5208281562736374e-13 relative error 6.7536567183087125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 6.6950149301432775 y[1] (numeric) 6.695014930143729 absolute error 4.511946372076636e-13 relative error 6.739262599344312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 6.696087489913767 y[1] (numeric) 6.696087489914217 absolute error 4.503064587879635e-13 relative error 6.724918983902981e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 6.6971154413070035 y[1] (numeric) 6.697115441307453 absolute error 4.4941828036826337e-13 relative error 6.710624660824949e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 6.69809968152037 y[1] (numeric) 6.698099681520821 absolute error 4.511946372076636e-13 relative error 6.7361588907445025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 6.699041112122334 y[1] (numeric) 6.699041112122783 absolute error 4.4941828036826337e-13 relative error 6.708695660264166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 6.6999406389622855 y[1] (numeric) 6.699940638962734 absolute error 4.4853010194856324e-13 relative error 6.694538446209778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 6.700799172079956 y[1] (numeric) 6.700799172080403 absolute error 4.476419235288631e-13 relative error 6.680425901943771e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 6.701617625614417 y[1] (numeric) 6.701617625614864 absolute error 4.46753745109163e-13 relative error 6.6663568419901275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 6.702396917712663 y[1] (numeric) 6.702396917713109 absolute error 4.4586556668946287e-13 relative error 6.652330086735956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 6.703137970437802 y[1] (numeric) 6.703137970438246 absolute error 4.440892098500626e-13 relative error 6.62509427388465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 6.703841709676843 y[1] (numeric) 6.703841709677286 absolute error 4.432010314303625e-13 relative error 6.611150003595876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 6.704509065048118 y[1] (numeric) 6.704509065048561 absolute error 4.432010314303625e-13 relative error 6.610491941025985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 6.70514096980831 y[1] (numeric) 6.705140969808753 absolute error 4.432010314303625e-13 relative error 6.6098689561635414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 6.705738360759138 y[1] (numeric) 6.705738360759581 absolute error 4.4231285301066237e-13 relative error 6.596035055572752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 6.706302178153672 y[1] (numeric) 6.706302178154113 absolute error 4.405364961712621e-13 relative error 6.568992635111877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 6.706833365602308 y[1] (numeric) 6.706833365602748 absolute error 4.39648317751562e-13 relative error 6.555229476945254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 6.70733286997841 y[1] (numeric) 6.70733286997885 absolute error 4.39648317751562e-13 relative error 6.554741299919668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 6.707801641323624 y[1] (numeric) 6.707801641324064 absolute error 4.39648317751562e-13 relative error 6.554283225119458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 6.708240632752874 y[1] (numeric) 6.708240632753313 absolute error 4.3876013933186186e-13 relative error 6.540614199043826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 6.708650800359047 y[1] (numeric) 6.708650800359487 absolute error 4.39648317751562e-13 relative error 6.553453605425878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 6.709033103117393 y[1] (numeric) 6.709033103117832 absolute error 4.39648317751562e-13 relative error 6.55308016809869e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 6.70938850278962 y[1] (numeric) 6.709388502790059 absolute error 4.3876013933186186e-13 relative error 6.539495203615572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 6.709717963827725 y[1] (numeric) 6.709717963828164 absolute error 4.39648317751562e-13 relative error 6.5524112954034465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 6.710022453277545 y[1] (numeric) 6.7100224532779835 absolute error 4.3876013933186186e-13 relative error 6.538877364226214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 6.7103029406820545 y[1] (numeric) 6.710302940682494 absolute error 4.39648317751562e-13 relative error 6.551840082899072e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 6.710560397984414 y[1] (numeric) 6.710560397984855 absolute error 4.405364961712621e-13 relative error 6.564824247816647e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 6.710795799430776 y[1] (numeric) 6.710795799431216 absolute error 4.405364961712621e-13 relative error 6.564593966763664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 6.711010121472857 y[1] (numeric) 6.711010121473298 absolute error 4.4142467459096224e-13 relative error 6.5776189664587085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 6.711204342670298 y[1] (numeric) 6.711204342670739 absolute error 4.4142467459096224e-13 relative error 6.5774286112010306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 6.71137944359281 y[1] (numeric) 6.711379443593252 absolute error 4.4231285301066237e-13 relative error 6.590490922591594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 6.711536406722109 y[1] (numeric) 6.711536406722552 absolute error 4.432010314303625e-13 relative error 6.603570398373512e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 6.711676216353684 y[1] (numeric) 6.711676216354127 absolute error 4.432010314303625e-13 relative error 6.603432840673362e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 6.711799858498353 y[1] (numeric) 6.711799858498796 absolute error 4.4231285301066237e-13 relative error 6.590078106256614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 6.711908320783673 y[1] (numeric) 6.711908320784114 absolute error 4.4142467459096224e-13 relative error 6.5767387379841646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 6.712002592355169 y[1] (numeric) 6.712002592355611 absolute error 4.4142467459096224e-13 relative error 6.5766463662236325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 6.712083663777433 y[1] (numeric) 6.712083663777873 absolute error 4.405364961712621e-13 relative error 6.563334401635521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 6.7121525269350535 y[1] (numeric) 6.712152526935495 absolute error 4.4142467459096224e-13 relative error 6.5764994585504216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 6.712210174933442 y[1] (numeric) 6.712210174933882 absolute error 4.405364961712621e-13 relative error 6.563210696477193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 6.712257601999511 y[1] (numeric) 6.7122576019999505 absolute error 4.39648317751562e-13 relative error 6.549932136403635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 6.712295803382261 y[1] (numeric) 6.712295803382701 absolute error 4.39648317751562e-13 relative error 6.549894859073813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 6.7123257752532535 y[1] (numeric) 6.712325775253693 absolute error 4.39648317751562e-13 relative error 6.5498656124892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 6.712348514606992 y[1] (numeric) 6.712348514607431 absolute error 4.3876013933186186e-13 relative error 6.5366114166607936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 6.712365019161226 y[1] (numeric) 6.712365019161666 absolute error 4.405364961712621e-13 relative error 6.5630592930166865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 6.7123762872571815 y[1] (numeric) 6.712376287257622 absolute error 4.405364961712621e-13 relative error 6.563048275579834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 6.712383317759724 y[1] (numeric) 6.712383317760163 absolute error 4.3876013933186186e-13 relative error 6.536577524870841e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 6.7123871099574774 y[1] (numeric) 6.712387109957917 absolute error 4.39648317751562e-13 relative error 6.549805762831624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 6.712388663462891 y[1] (numeric) 6.712388663463331 absolute error 4.405364961712621e-13 relative error 6.563036174725785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 6.712388978112282 y[1] (numeric) 6.712388978112721 absolute error 4.39648317751562e-13 relative error 6.5498039399260776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 6.712389053865852 y[1] (numeric) 6.712389053866291 absolute error 4.3876013933186186e-13 relative error 6.536571939005348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 6.712389890707693 y[1] (numeric) 6.712389890708132 absolute error 4.3876013933186186e-13 relative error 6.536571124082946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 6.712392488545788 y[1] (numeric) 6.712392488546228 absolute error 4.39648317751562e-13 relative error 6.5498005145228024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 6.712397847112023 y[1] (numeric) 6.712397847112465 absolute error 4.4142467459096224e-13 relative error 6.57625910509585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 6.712406965862212 y[1] (numeric) 6.712406965862653 absolute error 4.405364961712621e-13 relative error 6.563018279608661e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 6.712420843876154 y[1] (numeric) 6.712420843876593 absolute error 4.39648317751562e-13 relative error 6.54977284615073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 6.712440479757725 y[1] (numeric) 6.712440479758166 absolute error 4.405364961712621e-13 relative error 6.5629855117488145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 6.712466871535021 y[1] (numeric) 6.712466871535462 absolute error 4.405364961712621e-13 relative error 6.562959707695649e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 6.712501016560553 y[1] (numeric) 6.712501016560993 absolute error 4.39648317751562e-13 relative error 6.549694617056985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 6.7125439114115135 y[1] (numeric) 6.712543911411953 absolute error 4.39648317751562e-13 relative error 6.549652762854147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 6.71259655179012 y[1] (numeric) 6.7125965517905595 absolute error 4.39648317751562e-13 relative error 6.549601400285502e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 6.712659932424044 y[1] (numeric) 6.712659932424484 absolute error 4.39648317751562e-13 relative error 6.549539559242923e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 6.712735046966944 y[1] (numeric) 6.712735046967382 absolute error 4.3876013933186186e-13 relative error 6.5362350258425525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 6.712822887899092 y[1] (numeric) 6.712822887899532 absolute error 4.39648317751562e-13 relative error 6.549380567512015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 6.712924446428136 y[1] (numeric) 6.712924446428576 absolute error 4.39648317751562e-13 relative error 6.549281483206524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 6.713040712389976 y[1] (numeric) 6.7130407123904146 absolute error 4.3876013933186186e-13 relative error 6.535937410927075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 6.713172674149778 y[1] (numeric) 6.713172674150218 absolute error 4.39648317751562e-13 relative error 6.5490393155609295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 6.713321318503142 y[1] (numeric) 6.713321318503582 absolute error 4.405364961712621e-13 relative error 6.562124398203061e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 6.713487630577424 y[1] (numeric) 6.713487630577864 absolute error 4.405364961712621e-13 relative error 6.561961835824099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 6.713672593733222 y[1] (numeric) 6.713672593733663 absolute error 4.4142467459096224e-13 relative error 6.575010449615961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 6.713877189466041 y[1] (numeric) 6.713877189466483 absolute error 4.4142467459096224e-13 relative error 6.574810085646935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 6.714102397308145 y[1] (numeric) 6.7141023973085865 absolute error 4.4142467459096224e-13 relative error 6.57458955001849e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 6.714349194730604 y[1] (numeric) 6.714349194731045 absolute error 4.405364961712621e-13 relative error 6.561119825537127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 6.714618557045549 y[1] (numeric) 6.7146185570459895 absolute error 4.405364961712621e-13 relative error 6.560856620947049e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 6.714911457308638 y[1] (numeric) 6.714911457309078 absolute error 4.39648317751562e-13 relative error 6.5473434839269605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 6.715228866221757 y[1] (numeric) 6.715228866222196 absolute error 4.3876013933186186e-13 relative error 6.533807679122707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 6.715571752035944 y[1] (numeric) 6.715571752036384 absolute error 4.39648317751562e-13 relative error 6.5466997298967854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 6.715941080454573 y[1] (numeric) 6.7159410804550115 absolute error 4.3876013933186186e-13 relative error 6.5331147798301424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = 1.0 + sin ( x ) ; Iterations 5500 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.0181818181819%