##############ECHO OF PROBLEM################# ##############temp/add_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + 1.0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - c(cos(x)) + c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) -3.283662185463226 y[1] (numeric) -3.283662185463226 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.989999999999997 y[1] (closed_form) -3.2640589195454206 y[1] (numeric) -3.2640589195454273 absolute error 6.661338147750939e-15 relative error 2.0408143087927626e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.979999999999993 y[1] (closed_form) -3.2444282479640423 y[1] (numeric) -3.244428247964055 absolute error 1.2878587085651816e-14 relative error 3.969447342142161e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.96999999999999 y[1] (closed_form) -3.2247711337782237 y[1] (numeric) -3.2247711337782436 absolute error 1.9984014443252818e-14 relative error 6.197033406162701e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.959999999999987 y[1] (closed_form) -3.2050885426913354 y[1] (numeric) -3.2050885426913625 absolute error 2.708944180085382e-14 relative error 8.452010432793419e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.949999999999983 y[1] (closed_form) -3.185381442954418 y[1] (numeric) -3.1853814429544514 absolute error 3.3306690738754696e-14 relative error 1.0456107482017282e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.93999999999998 y[1] (closed_form) -3.1656508052693555 y[1] (numeric) -3.1656508052693955 absolute error 3.9968028886505635e-14 relative error 1.262553305626041e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.929999999999977 y[1] (closed_form) -3.145897602691808 y[1] (numeric) -3.145897602691854 absolute error 4.574118861455645e-14 relative error 1.453994833634054e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.919999999999973 y[1] (closed_form) -3.1261228105339054 y[1] (numeric) -3.1261228105339574 absolute error 5.1958437552457326e-14 relative error 1.6620728199601164e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.90999999999997 y[1] (closed_form) -3.106327406266718 y[1] (numeric) -3.1063274062667765 absolute error 5.861977570020827e-14 relative error 1.887108731099899e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.899999999999967 y[1] (closed_form) -3.0865123694225094 y[1] (numeric) -3.086512369422574 absolute error 6.439293542825908e-14 relative error 2.0862685037710406e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.889999999999963 y[1] (closed_form) -3.066678681496785 y[1] (numeric) -3.0666786814968563 absolute error 7.149836278586008e-14 relative error 2.331459217336821e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.87999999999996 y[1] (closed_form) -3.046827325850142 y[1] (numeric) -3.0468273258502205 absolute error 7.860379014346108e-14 relative error 2.5798570689111383e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.869999999999957 y[1] (closed_form) -3.026959287609937 y[1] (numeric) -3.0269592876100226 absolute error 8.570921750106208e-14 relative error 2.8315285855310397e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.859999999999953 y[1] (closed_form) -3.0070755535717697 y[1] (numeric) -3.007075553571862 absolute error 9.237055564881302e-14 relative error 3.071773688529254e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.84999999999995 y[1] (closed_form) -2.9871771121008077 y[1] (numeric) -2.9871771121009068 absolute error 9.903189379656396e-14 relative error 3.315233415367102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.839999999999947 y[1] (closed_form) -2.9672649530329496 y[1] (numeric) -2.967264953033056 absolute error 1.0658141036401503e-13 relative error 3.591907431625689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.829999999999943 y[1] (closed_form) -2.9473400675758423 y[1] (numeric) -2.947340067575955 absolute error 1.127986593019159e-13 relative error 3.82713418593368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.81999999999994 y[1] (closed_form) -2.92740344820976 y[1] (numeric) -2.9274034482098794 absolute error 1.1945999744966684e-13 relative error 4.080749359051348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.8099999999999365 y[1] (closed_form) -2.9074560885883596 y[1] (numeric) -2.9074560885884853 absolute error 1.2567724638756772e-13 relative error 4.322584505432275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.799999999999933 y[1] (closed_form) -2.887498983439313 y[1] (numeric) -2.8874989834394453 absolute error 1.3233858453531866e-13 relative error 4.583156056307579e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.78999999999993 y[1] (closed_form) -2.8675331284648387 y[1] (numeric) -2.8675331284649777 absolute error 1.389999226830696e-13 relative error 4.847369374856518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7799999999999265 y[1] (closed_form) -2.847559520242128 y[1] (numeric) -2.8475595202422737 absolute error 1.4566126083082054e-13 relative error 5.1153017099510866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.769999999999923 y[1] (closed_form) -2.8275791561236927 y[1] (numeric) -2.8275791561238455 absolute error 1.5276668818842154e-13 relative error 5.402737810454377e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.75999999999992 y[1] (closed_form) -2.8075930341376276 y[1] (numeric) -2.807593034137787 absolute error 1.5942802633617248e-13 relative error 5.678459249530869e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7499999999999165 y[1] (closed_form) -2.7876021528878097 y[1] (numeric) -2.7876021528879753 absolute error 1.6564527527407336e-13 relative error 5.942213636995277e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.739999999999913 y[1] (closed_form) -2.7676075114540377 y[1] (numeric) -2.7676075114542105 absolute error 1.7275070263167436e-13 relative error 6.241878659337613e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.72999999999991 y[1] (closed_form) -2.7476101092921263 y[1] (numeric) -2.747610109292306 absolute error 1.7985612998927536e-13 relative error 6.545911640848204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7199999999999065 y[1] (closed_form) -2.727610946133961 y[1] (numeric) -2.727610946134147 absolute error 1.8607337892717624e-13 relative error 6.8218445592804e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.709999999999903 y[1] (closed_form) -2.7076110218875247 y[1] (numeric) -2.7076110218877165 absolute error 1.9184653865522705e-13 relative error 7.085454192068082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6999999999999 y[1] (closed_form) -2.687611336536909 y[1] (numeric) -2.6876113365371075 absolute error 1.98507876802978e-13 relative error 7.386033616704529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6899999999998965 y[1] (closed_form) -2.6676128900423155 y[1] (numeric) -2.667612890042521 absolute error 2.05613304160579e-13 relative error 7.707763931119609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.679999999999893 y[1] (closed_form) -2.647616682240062 y[1] (numeric) -2.6476166822402742 absolute error 2.1227464230832993e-13 relative error 8.017574588204034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.66999999999989 y[1] (closed_form) -2.627623712742598 y[1] (numeric) -2.627623712742817 absolute error 2.1893598045608087e-13 relative error 8.332090298711954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6599999999998865 y[1] (closed_form) -2.607634980838547 y[1] (numeric) -2.6076349808387724 absolute error 2.255973186038318e-13 relative error 8.651414797759985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.649999999999883 y[1] (closed_form) -2.5876514853927746 y[1] (numeric) -2.587651485393007 absolute error 2.3225865675158275e-13 relative error 8.975654490671438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.63999999999988 y[1] (closed_form) -2.5676742247465056 y[1] (numeric) -2.567674224746745 absolute error 2.3936408410918375e-13 relative error 9.322213924268957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.629999999999876 y[1] (closed_form) -2.547704196617491 y[1] (numeric) -2.547704196617737 absolute error 2.460254222569347e-13 relative error 9.65674989206263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.619999999999873 y[1] (closed_form) -2.527742398000235 y[1] (numeric) -2.527742398000488 absolute error 2.531308496145357e-13 relative error 1.0014107838472557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.60999999999987 y[1] (closed_form) -2.5077898250662978 y[1] (numeric) -2.507789825066557 absolute error 2.5934809855243657e-13 relative error 1.0341699928764176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.599999999999866 y[1] (closed_form) -2.4878474730646793 y[1] (numeric) -2.487847473064945 absolute error 2.6556534749033744e-13 relative error 1.0674502772599566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.589999999999863 y[1] (closed_form) -2.467916336222294 y[1] (numeric) -2.467916336222566 absolute error 2.722266856380884e-13 relative error 1.1030628617451154e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.57999999999986 y[1] (closed_form) -2.4479974076445505 y[1] (numeric) -2.4479974076448294 absolute error 2.788880237858393e-13 relative error 1.1392496696072232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.569999999999856 y[1] (closed_form) -2.4280916792160405 y[1] (numeric) -2.428091679216327 absolute error 2.864375403532904e-13 relative error 1.1796817344465866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.559999999999853 y[1] (closed_form) -2.4082001415013528 y[1] (numeric) -2.4082001415016454 absolute error 2.9265478929119126e-13 relative error 1.2152428041497434e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.54999999999985 y[1] (closed_form) -2.388323783646015 y[1] (numeric) -2.3883237836463143 absolute error 2.993161274389422e-13 relative error 1.2532476940040609e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.539999999999846 y[1] (closed_form) -2.3684635932775833 y[1] (numeric) -2.368463593277889 absolute error 3.055333763768431e-13 relative error 1.2900066407777569e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.529999999999843 y[1] (closed_form) -2.348620556406877 y[1] (numeric) -2.348620556407189 absolute error 3.12194714524594e-13 relative error 1.329268423853943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.51999999999984 y[1] (closed_form) -2.328795657329381 y[1] (numeric) -2.3287956573297004 absolute error 3.19300141882195e-13 relative error 1.3710955741319201e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.509999999999836 y[1] (closed_form) -2.308989878526816 y[1] (numeric) -2.308989878527142 absolute error 3.2596148002994596e-13 relative error 1.4117059717815489e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.499999999999833 y[1] (closed_form) -2.28920420056889 y[1] (numeric) -2.2892042005692224 absolute error 3.3217872896784684e-13 relative error 1.451066396284338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.48999999999983 y[1] (closed_form) -2.269439602015245 y[1] (numeric) -2.2694396020155843 absolute error 3.3928415632544784e-13 relative error 1.4950129363397295e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.479999999999826 y[1] (closed_form) -2.2496970593175982 y[1] (numeric) -2.2496970593179446 absolute error 3.4638958368304884e-13 relative error 1.539716568719343e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.469999999999823 y[1] (closed_form) -2.2299775467221017 y[1] (numeric) -2.2299775467224547 absolute error 3.530509218307998e-13 relative error 1.5832039311326606e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.45999999999982 y[1] (closed_form) -2.2102820361719147 y[1] (numeric) -2.210282036172274 absolute error 3.5926817076870066e-13 relative error 1.6254403957919013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.449999999999816 y[1] (closed_form) -2.190611497210013 y[1] (numeric) -2.1906114972103787 absolute error 3.659295089164516e-13 relative error 1.670444573958018e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.439999999999813 y[1] (closed_form) -2.1709668968822333 y[1] (numeric) -2.170966896882606 absolute error 3.7259084706420253e-13 relative error 1.716243797172989e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.42999999999981 y[1] (closed_form) -2.1513491996405727 y[1] (numeric) -2.151349199640951 absolute error 3.7836400679225335e-13 relative error 1.7587289262731817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.419999999999806 y[1] (closed_form) -2.1317593672467394 y[1] (numeric) -2.1317593672471244 absolute error 3.850253449400043e-13 relative error 1.8061388675274422e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.409999999999803 y[1] (closed_form) -2.1121983586759816 y[1] (numeric) -2.1121983586763733 absolute error 3.9168668308775523e-13 relative error 1.8544029327495623e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.3999999999998 y[1] (closed_form) -2.0926671300211894 y[1] (numeric) -2.0926671300215873 absolute error 3.979039320256561e-13 relative error 1.9014200888300237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.389999999999796 y[1] (closed_form) -2.073166634397285 y[1] (numeric) -2.07316663439769 absolute error 4.050093593832571e-13 relative error 1.9535784179789397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.379999999999793 y[1] (closed_form) -2.0536978218459137 y[1] (numeric) -2.053697821846325 absolute error 4.11226608321158e-13 relative error 2.0023715463238767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.36999999999979 y[1] (closed_form) -2.0342616392404405 y[1] (numeric) -2.034261639240857 absolute error 4.1655567883935873e-13 relative error 2.047699621347103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.359999999999786 y[1] (closed_form) -2.0148590301912623 y[1] (numeric) -2.0148590301916856 absolute error 4.2321701698710967e-13 relative error 2.1004795404814767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.349999999999783 y[1] (closed_form) -1.9954909349514485 y[1] (numeric) -1.9954909349518777 absolute error 4.292122213200855e-13 relative error 2.150910404063191e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.33999999999978 y[1] (closed_form) -1.976158290322716 y[1] (numeric) -1.9761582903231516 absolute error 4.3565151486291143e-13 relative error 2.2045375463914252e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.329999999999776 y[1] (closed_form) -1.956862029561751 y[1] (numeric) -1.956862029562193 absolute error 4.4209080840573733e-13 relative error 2.2591823119218364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.319999999999773 y[1] (closed_form) -1.9376030822868824 y[1] (numeric) -1.9376030822873311 absolute error 4.4875214655348827e-13 relative error 2.3160168904347656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.30999999999977 y[1] (closed_form) -1.9183823743851223 y[1] (numeric) -1.9183823743855772 absolute error 4.549693954913892e-13 relative error 2.371630398435116e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.299999999999766 y[1] (closed_form) -1.899200827919577 y[1] (numeric) -1.899200827920038 absolute error 4.6118664442929e-13 relative error 2.4283195207664438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.289999999999763 y[1] (closed_form) -1.8800593610372411 y[1] (numeric) -1.880059361037709 absolute error 4.67847982577041e-13 relative error 2.4884745251816207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2799999999997596 y[1] (closed_form) -1.8609588878771852 y[1] (numeric) -1.86095888787766 absolute error 4.747313653297169e-13 relative error 2.5510040464743842e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.269999999999756 y[1] (closed_form) -1.8419003184791425 y[1] (numeric) -1.8419003184796232 absolute error 4.807265696626928e-13 relative error 2.6099488926720465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.259999999999753 y[1] (closed_form) -1.822884558692503 y[1] (numeric) -1.8228845586929903 absolute error 4.871658632055187e-13 relative error 2.6724998074203186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2499999999997495 y[1] (closed_form) -1.8039125100857327 y[1] (numeric) -1.8039125100862263 absolute error 4.936051567483446e-13 relative error 2.7363031964609277e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.239999999999746 y[1] (closed_form) -1.7849850698562153 y[1] (numeric) -1.7849850698567153 absolute error 5.000444502911705e-13 relative error 2.801392900902248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.229999999999743 y[1] (closed_form) -1.7661031307405346 y[1] (numeric) -1.7661031307410406 absolute error 5.060396546241464e-13 relative error 2.865289380988537e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2199999999997395 y[1] (closed_form) -1.7472675809252003 y[1] (numeric) -1.7472675809257128 absolute error 5.124789481669723e-13 relative error 2.933030714709468e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.209999999999736 y[1] (closed_form) -1.7284793039578314 y[1] (numeric) -1.72847930395835 absolute error 5.184741524999481e-13 relative error 2.9995971100883775e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.199999999999733 y[1] (closed_form) -1.7097391786588005 y[1] (numeric) -1.7097391786593257 absolute error 5.25135490647699e-13 relative error 3.071436258831244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1899999999997295 y[1] (closed_form) -1.6910480790333544 y[1] (numeric) -1.6910480790338862 absolute error 5.3179682879545e-13 relative error 3.1447765169363984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.179999999999726 y[1] (closed_form) -1.672406874184213 y[1] (numeric) -1.672406874184751 absolute error 5.380140777333509e-13 relative error 3.217004701656646e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.169999999999723 y[1] (closed_form) -1.6538164282246606 y[1] (numeric) -1.653816428225205 absolute error 5.444533712761768e-13 relative error 3.292102811317679e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1599999999997195 y[1] (closed_form) -1.635277600192134 y[1] (numeric) -1.635277600192685 absolute error 5.508926648190027e-13 relative error 3.368802121146137e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.149999999999716 y[1] (closed_form) -1.6167912439623215 y[1] (numeric) -1.6167912439628782 absolute error 5.566658245470535e-13 relative error 3.443028446782127e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.139999999999713 y[1] (closed_form) -1.598358208163773 y[1] (numeric) -1.5983582081643362 absolute error 5.631051180898794e-13 relative error 3.5230220310676555e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1299999999997095 y[1] (closed_form) -1.5799793360930416 y[1] (numeric) -1.5799793360936107 absolute error 5.691003224228552e-13 relative error 3.601947882623081e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.119999999999706 y[1] (closed_form) -1.561655465630352 y[1] (numeric) -1.5616554656309274 absolute error 5.753175713607561e-13 relative error 3.6840236788626926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.109999999999703 y[1] (closed_form) -1.543387429155814 y[1] (numeric) -1.5433874291563956 absolute error 5.81534820298657e-13 relative error 3.7679121218237396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.099999999999699 y[1] (closed_form) -1.5251760534661845 y[1] (numeric) -1.5251760534667722 absolute error 5.877520692365579e-13 relative error 3.853667043229572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.089999999999696 y[1] (closed_form) -1.5070221596921902 y[1] (numeric) -1.5070221596927837 absolute error 5.935252289646087e-13 relative error 3.9383974890311926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.079999999999693 y[1] (closed_form) -1.4889265632164133 y[1] (numeric) -1.488926563217013 absolute error 5.997424779025096e-13 relative error 4.0280191966414525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.069999999999689 y[1] (closed_form) -1.4708900735917556 y[1] (numeric) -1.4708900735923613 absolute error 6.057376822354854e-13 relative error 4.118170984432161e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.059999999999686 y[1] (closed_form) -1.452913494460482 y[1] (numeric) -1.4529134944610935 absolute error 6.115108419635362e-13 relative error 4.20885926309475e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.049999999999683 y[1] (closed_form) -1.4349976234738584 y[1] (numeric) -1.4349976234744757 absolute error 6.17284001691587e-13 relative error 4.301637797819198e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.039999999999679 y[1] (closed_form) -1.4171432522123872 y[1] (numeric) -1.4171432522130103 absolute error 6.230571614196379e-13 relative error 4.3965714859591364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.029999999999676 y[1] (closed_form) -1.3993511661066491 y[1] (numeric) -1.3993511661072784 absolute error 6.292744103575387e-13 relative error 4.496901318261235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.019999999999673 y[1] (closed_form) -1.3816221443587615 y[1] (numeric) -1.3816221443593968 absolute error 6.352696146905146e-13 relative error 4.597998210178919e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.009999999999669 y[1] (closed_form) -1.3639569598644585 y[1] (numeric) -1.3639569598650998 absolute error 6.412648190234904e-13 relative error 4.701503331067098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9999999999996665 y[1] (closed_form) -1.3463563791358024 y[1] (numeric) -1.3463563791364486 absolute error 6.461498003318411e-13 relative error 4.799247883733362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9899999999996676 y[1] (closed_form) -1.3288211622245383 y[1] (numeric) -1.3288211622251827 absolute error 6.443734434924409e-13 relative error 4.849211179130495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9799999999996687 y[1] (closed_form) -1.3113520626460713 y[1] (numeric) -1.3113520626467137 absolute error 6.423750420481156e-13 relative error 4.8985704171000345e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.96999999999967 y[1] (closed_form) -1.2939498273041345 y[1] (numeric) -1.2939498273047747 absolute error 6.401545959988653e-13 relative error 4.9472907101242735e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.959999999999671 y[1] (closed_form) -1.2766151964160946 y[1] (numeric) -1.2766151964167327 absolute error 6.3815619455454e-13 relative error 4.998814022785156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.949999999999672 y[1] (closed_form) -1.259348903438927 y[1] (numeric) -1.2593489034395637 absolute error 6.368239269249898e-13 relative error 5.05677120284937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.939999999999673 y[1] (closed_form) -1.2421516749958754 y[1] (numeric) -1.24215167499651 absolute error 6.346034808757395e-13 relative error 5.108904924012977e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.929999999999674 y[1] (closed_form) -1.2250242308037853 y[1] (numeric) -1.2250242308044181 absolute error 6.328271240363392e-13 relative error 5.1658335249509074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9199999999996753 y[1] (closed_form) -1.2079672836011373 y[1] (numeric) -1.207967283601768 absolute error 6.308287225920139e-13 relative error 5.222233508770337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9099999999996764 y[1] (closed_form) -1.1909815390767702 y[1] (numeric) -1.190981539077399 absolute error 6.288303211476887e-13 relative error 5.279933403796904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8999999999996775 y[1] (closed_form) -1.1740676957993155 y[1] (numeric) -1.1740676957999427 absolute error 6.272760089132134e-13 relative error 5.342758438525629e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8899999999996786 y[1] (closed_form) -1.1572264451473395 y[1] (numeric) -1.1572264451479646 absolute error 6.250555628639631e-13 relative error 5.4013245677632286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8799999999996797 y[1] (closed_form) -1.1404584712402057 y[1] (numeric) -1.1404584712408288 absolute error 6.230571614196379e-13 relative error 5.46321656712398e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.869999999999681 y[1] (closed_form) -1.1237644508696656 y[1] (numeric) -1.1237644508702866 absolute error 6.210587599753126e-13 relative error 5.526591978369523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.859999999999682 y[1] (closed_form) -1.1071450534321774 y[1] (numeric) -1.1071450534327965 absolute error 6.190603585309873e-13 relative error 5.5915018236488946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.849999999999683 y[1] (closed_form) -1.0906009408619686 y[1] (numeric) -1.090600940862586 absolute error 6.175060462965121e-13 relative error 5.662071461340014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.839999999999684 y[1] (closed_form) -1.0741327675648438 y[1] (numeric) -1.074132767565459 absolute error 6.152856002472618e-13 relative error 5.7282080840171174e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.829999999999685 y[1] (closed_form) -1.0577411803527412 y[1] (numeric) -1.057741180353355 absolute error 6.137312880127865e-13 relative error 5.802282254039841e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8199999999996863 y[1] (closed_form) -1.041426818379057 y[1] (numeric) -1.041426818379669 absolute error 6.121769757783113e-13 relative error 5.878252460707153e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8099999999996874 y[1] (closed_form) -1.025190313074726 y[1] (numeric) -1.0251903130753361 absolute error 6.10178574333986e-13 relative error 5.95185661190997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7999999999996885 y[1] (closed_form) -1.009032288085081 y[1] (numeric) -1.0090322880856897 absolute error 6.086242620995108e-13 relative error 6.031762008870344e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7899999999996896 y[1] (closed_form) -0.9929533592074904 y[1] (numeric) -0.9929533592080974 absolute error 6.069589275625731e-13 relative error 6.112663016186456e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7799999999996907 y[1] (closed_form) -0.9769541343297754 y[1] (numeric) -0.9769541343303808 absolute error 6.054046153280979e-13 relative error 6.196858112928981e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.769999999999692 y[1] (closed_form) -0.9610352133694251 y[1] (numeric) -0.9610352133700285 absolute error 6.034062138837726e-13 relative error 6.278710764075003e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.759999999999693 y[1] (closed_form) -0.9451971882136028 y[1] (numeric) -0.9451971882142041 absolute error 6.012967901369848e-13 relative error 6.3616015539934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.749999999999694 y[1] (closed_form) -0.9294406426599582 y[1] (numeric) -0.9294406426605583 absolute error 6.000755448098971e-13 relative error 6.456308421079436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.739999999999695 y[1] (closed_form) -0.9137661523582512 y[1] (numeric) -0.9137661523588492 absolute error 5.979661210631093e-13 relative error 6.543973198393004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7299999999996962 y[1] (closed_form) -0.8981742847527818 y[1] (numeric) -0.8981742847533785 absolute error 5.966338534335591e-13 relative error 6.642740318464804e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7199999999996973 y[1] (closed_form) -0.882665599025652 y[1] (numeric) -0.8826655990262465 absolute error 5.945244296867713e-13 relative error 6.735556821779946e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7099999999996984 y[1] (closed_form) -0.8672406460408424 y[1] (numeric) -0.8672406460414358 absolute error 5.934142066621462e-13 relative error 6.842555285793183e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6999999999996995 y[1] (closed_form) -0.8518999682891324 y[1] (numeric) -0.8518999682897237 absolute error 5.913047829153584e-13 relative error 6.94101191367425e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6899999999997006 y[1] (closed_form) -0.8366440998338454 y[1] (numeric) -0.836644099834435 absolute error 5.896394483784206e-13 relative error 7.04767353879052e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6799999999997017 y[1] (closed_form) -0.8214735662574468 y[1] (numeric) -0.8214735662580352 absolute error 5.88418203051333e-13 relative error 7.162959676622447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.669999999999703 y[1] (closed_form) -0.806388884608987 y[1] (numeric) -0.8063888846095735 absolute error 5.864198016070077e-13 relative error 7.272171191835797e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.659999999999704 y[1] (closed_form) -0.7913905633523926 y[1] (numeric) -0.7913905633529773 absolute error 5.8475446707007e-13 relative error 7.388949200923045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.649999999999705 y[1] (closed_form) -0.7764791023156237 y[1] (numeric) -0.776479102316207 absolute error 5.833111771380572e-13 relative error 7.512258544994976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.639999999999706 y[1] (closed_form) -0.7616549926406919 y[1] (numeric) -0.7616549926412733 absolute error 5.814237979961945e-13 relative error 7.633689841385693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6299999999997072 y[1] (closed_form) -0.7469187167345437 y[1] (numeric) -0.7469187167351239 absolute error 5.802025526691068e-13 relative error 7.767947698588893e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6199999999997083 y[1] (closed_form) -0.7322707482208242 y[1] (numeric) -0.7322707482214023 absolute error 5.78093128922319e-13 relative error 7.894527131213341e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6099999999997094 y[1] (closed_form) -0.7177115518925099 y[1] (numeric) -0.7177115518930867 absolute error 5.767608612927688e-13 relative error 8.036109489556454e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5999999999997105 y[1] (closed_form) -0.7032415836654353 y[1] (numeric) -0.7032415836660105 absolute error 5.752065490582936e-13 relative error 8.179359162184386e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5899999999997116 y[1] (closed_form) -0.6888612905326981 y[1] (numeric) -0.6888612905332718 absolute error 5.737632591262809e-13 relative error 8.32915518714353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5799999999997127 y[1] (closed_form) -0.674571110519961 y[1] (numeric) -0.6745711105205332 absolute error 5.722089468918057e-13 relative error 8.482559332414127e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.569999999999714 y[1] (closed_form) -0.6603714726416503 y[1] (numeric) -0.6603714726422212 absolute error 5.708766792622555e-13 relative error 8.644781049953697e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.559999999999715 y[1] (closed_form) -0.6462627968580543 y[1] (numeric) -0.6462627968586236 absolute error 5.693223670277803e-13 relative error 8.809455995233882e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.549999999999716 y[1] (closed_form) -0.6322454940333273 y[1] (numeric) -0.6322454940338951 absolute error 5.677680547933051e-13 relative error 8.980183491246464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.539999999999717 y[1] (closed_form) -0.6183199658944041 y[1] (numeric) -0.6183199658949701 absolute error 5.659916979539048e-13 relative error 9.153702438432405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5299999999997183 y[1] (closed_form) -0.6044866049908273 y[1] (numeric) -0.6044866049913916 absolute error 5.643263634169671e-13 relative error 9.335630579035418e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5199999999997194 y[1] (closed_form) -0.5907457946554922 y[1] (numeric) -0.5907457946560554 absolute error 5.632161403923419e-13 relative error 9.533984761089924e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5099999999997205 y[1] (closed_form) -0.5770979089663162 y[1] (numeric) -0.5770979089668776 absolute error 5.614397835529417e-13 relative error 9.728674715848113e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4999999999997216 y[1] (closed_form) -0.5635433127088274 y[1] (numeric) -0.5635433127093874 absolute error 5.59996493620929e-13 relative error 9.93706217414151e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4899999999997227 y[1] (closed_form) -0.5500823613396899 y[1] (numeric) -0.5500823613402483 absolute error 5.584421813864537e-13 relative error 1.0151973970341533e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4799999999997238 y[1] (closed_form) -0.5367154009511563 y[1] (numeric) -0.5367154009517132 absolute error 5.568878691519785e-13 relative error 1.0375850369955342e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.469999999999725 y[1] (closed_form) -0.5234427682364595 y[1] (numeric) -0.5234427682370151 absolute error 5.555556015224283e-13 relative error 1.0613492729953281e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.459999999999726 y[1] (closed_form) -0.5102647904561439 y[1] (numeric) -0.5102647904566979 absolute error 5.540012892879531e-13 relative error 1.0857133387406793e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.449999999999727 y[1] (closed_form) -0.49718178540533975 y[1] (numeric) -0.497181785405892 absolute error 5.522249324485529e-13 relative error 1.1107103048804128e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.439999999999728 y[1] (closed_form) -0.48419406138198173 y[1] (numeric) -0.48419406138253296 absolute error 5.512257317263902e-13 relative error 1.13843967882028e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4299999999997293 y[1] (closed_form) -0.4713019171559836 y[1] (numeric) -0.4713019171565333 absolute error 5.497269306431463e-13 relative error 1.1664007945488727e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4199999999997304 y[1] (closed_form) -0.4585056419393574 y[1] (numeric) -0.45850564193990573 absolute error 5.483391518623648e-13 relative error 1.1959267274074e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4099999999997315 y[1] (closed_form) -0.4458055153572946 y[1] (numeric) -0.4458055153578415 absolute error 5.468958619303521e-13 relative error 1.2267588513166728e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3999999999997326 y[1] (closed_form) -0.4332018074202031 y[1] (numeric) -0.4332018074207488 absolute error 5.457301277544957e-13 relative error 1.25975958180881e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3899999999997337 y[1] (closed_form) -0.4206947784967072 y[1] (numeric) -0.4206947784972516 absolute error 5.443978601249455e-13 relative error 1.294044727795942e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3799999999997348 y[1] (closed_form) -0.4082846792876098 y[1] (numeric) -0.40828467928815293 absolute error 5.431211036466266e-13 relative error 1.330251001811492e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.369999999999736 y[1] (closed_form) -0.39597175080082403 y[1] (numeric) -0.39597175080136543 absolute error 5.414002579584576e-13 relative error 1.367269904642225e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.359999999999737 y[1] (closed_form) -0.3837562243272701 y[1] (numeric) -0.3837562243278103 absolute error 5.402345237826012e-13 relative error 1.4077544272529773e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.349999999999738 y[1] (closed_form) -0.37163832141774966 y[1] (numeric) -0.37163832141828856 absolute error 5.38902256153051e-13 relative error 1.4500718173981955e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.339999999999739 y[1] (closed_form) -0.35961825386078905 y[1] (numeric) -0.35961825386132645 absolute error 5.37403455069807e-13 relative error 1.4943720161597802e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3299999999997403 y[1] (closed_form) -0.34769622366146 y[1] (numeric) -0.34769622366199604 absolute error 5.360156762890256e-13 relative error 1.5416206441486284e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3199999999997414 y[1] (closed_form) -0.3358724230211809 y[1] (numeric) -0.3358724230217157 absolute error 5.347944309619379e-13 relative error 1.592254660717449e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3099999999997425 y[1] (closed_form) -0.324147034318496 y[1] (numeric) -0.32414703431902964 absolute error 5.336286967860815e-13 relative error 1.6462550641810155e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2999999999997436 y[1] (closed_form) -0.3125202300908385 y[1] (numeric) -0.3125202300913703 absolute error 5.3179682879545e-13 relative error 1.7016396943035513e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2899999999997447 y[1] (closed_form) -0.30099217301727377 y[1] (numeric) -0.3009921730178048 absolute error 5.310196726782124e-13 relative error 1.7642308348255204e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.279999999999746 y[1] (closed_form) -0.28956301590223754 y[1] (numeric) -0.28956301590276706 absolute error 5.295208715949684e-13 relative error 1.828689585736825e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.269999999999747 y[1] (closed_form) -0.2782329016602496 y[1] (numeric) -0.27823290166077774 absolute error 5.28133092814187e-13 relative error 1.8981690866276148e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.259999999999748 y[1] (closed_form) -0.2670019633016256 y[1] (numeric) -0.2670019633021525 absolute error 5.26856336335868e-13 relative error 1.9732301958420105e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.249999999999749 y[1] (closed_form) -0.25587032391917575 y[1] (numeric) -0.25587032391970144 absolute error 5.256906021600116e-13 relative error 2.0545196258322893e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.23999999999975 y[1] (closed_form) -0.2448380966758954 y[1] (numeric) -0.24483809667641984 absolute error 5.244416012573083e-13 relative error 2.1419934576257478e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2299999999997513 y[1] (closed_form) -0.23390538479364853 y[1] (numeric) -0.23390538479417172 absolute error 5.23192600354605e-13 relative error 2.2367702257738352e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2199999999997524 y[1] (closed_form) -0.22307228154284608 y[1] (numeric) -0.22307228154336817 absolute error 5.220823773299799e-13 relative error 2.3404179744747987e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2099999999997535 y[1] (closed_form) -0.21233887023311881 y[1] (numeric) -0.21233887023363995 absolute error 5.211386877590485e-13 relative error 2.4542783296666786e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1999999999997546 y[1] (closed_form) -0.20170522420498704 y[1] (numeric) -0.20170522420550688 absolute error 5.198341757051139e-13 relative error 2.5771973817436766e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1899999999997557 y[1] (closed_form) -0.1911714068225252 y[1] (numeric) -0.1911714068230438 absolute error 5.185851748024106e-13 relative error 2.712671227469919e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.179999999999757 y[1] (closed_form) -0.18073747146702646 y[1] (numeric) -0.18073747146754396 absolute error 5.175027073534011e-13 relative error 2.8632839839624164e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.169999999999758 y[1] (closed_form) -0.1704034615316652 y[1] (numeric) -0.17040346153218142 absolute error 5.162259508750822e-13 relative error 3.02943347649751e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.159999999999759 y[1] (closed_form) -0.1601694104171565 y[1] (numeric) -0.1601694104176713 absolute error 5.148104165186851e-13 relative error 3.214161900064916e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.14999999999976 y[1] (closed_form) -0.15003534152841613 y[1] (numeric) -0.15003534152893008 absolute error 5.139499936746006e-13 relative error 3.4255262022865486e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.139999999999761 y[1] (closed_form) -0.14000126827222203 y[1] (numeric) -0.1400012682727349 absolute error 5.128675262255911e-13 relative error 3.663306286828476e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1299999999997623 y[1] (closed_form) -0.1300671940558713 y[1] (numeric) -0.13006719405638298 absolute error 5.11674036474119e-13 relative error 3.933920772168928e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1199999999997634 y[1] (closed_form) -0.12023311228684008 y[1] (numeric) -0.12023311228735083 absolute error 5.107442246909955e-13 relative error 4.2479497949991777e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1099999999997645 y[1] (closed_form) -0.11049900637344434 y[1] (numeric) -0.1104990063739537 absolute error 5.09356445910214e-13 relative error 4.609602046454465e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0999999999997656 y[1] (closed_form) -0.1008648497264959 y[1] (numeric) -0.10086484972700444 absolute error 5.08537656429553e-13 relative error 5.041772805972531e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0899999999997667 y[1] (closed_form) -0.09133060576196517 y[1] (numeric) -0.09133060576247266 absolute error 5.074968223439669e-13 relative error 5.556700496070891e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.079999999999768 y[1] (closed_form) -0.08189622790463646 y[1] (numeric) -0.08189622790514293 absolute error 5.064698660461886e-13 relative error 6.184288080226897e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.069999999999769 y[1] (closed_form) -0.07256165959276695 y[1] (numeric) -0.07256165959327233 absolute error 5.053873985971791e-13 relative error 6.964937150466675e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.05999999999977 y[1] (closed_form) -0.06332683428374208 y[1] (numeric) -0.06332683428424658 absolute error 5.044992201774789e-13 relative error 7.966594665336037e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.049999999999771 y[1] (closed_form) -0.05419167546073078 y[1] (numeric) -0.054191675461234226 absolute error 5.03444508304085e-13 relative error 9.290070920005026e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -3.039999999999772 y[1] (closed_form) -0.04515609664033571 y[1] (numeric) -0.04515609664083825 absolute error 5.025424520965771e-13 relative error 1.112900559362522e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0299999999997733 y[1] (closed_form) -0.03622000138124282 y[1] (numeric) -0.03622000138174438 absolute error 5.015640680561262e-13 relative error 1.3847709799256668e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0199999999997744 y[1] (closed_form) -0.027383283293864746 y[1] (numeric) -0.027383283294365127 absolute error 5.0038098664551e-13 relative error 1.8273228278568805e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0099999999997755 y[1] (closed_form) -0.018645826050978975 y[1] (numeric) -0.01864582605147861 absolute error 4.9963505555084e-13 relative error 2.6796080483900433e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9999999999997766 y[1] (closed_form) -0.010007503399362516 y[1] (numeric) -0.010007503399861232 absolute error 4.987156521085723e-13 relative error 4.983417264093467e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9899999999997777 y[1] (closed_form) -0.0014681791724151516 y[1] (numeric) -0.0014681791729128897 absolute error 4.977381354298593e-13 relative error 3.3901729760345337e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -2.979999999999779 y[1] (closed_form) 0.006972292696223015 y[1] (numeric) 0.006972292695726499 absolute error 4.965160227410337e-13 relative error 7.1212733655029016e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.96999999999978 y[1] (closed_form) 0.015314068158066352 y[1] (numeric) 0.015314068157570469 absolute error 4.958828486723021e-13 relative error 3.2380869900406356e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.959999999999781 y[1] (closed_form) 0.023557313034185956 y[1] (numeric) 0.023557313033690984 absolute error 4.949721188474143e-13 relative error 2.101139965025381e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.949999999999782 y[1] (closed_form) 0.03170220299863047 y[1] (numeric) 0.031702202998136475 absolute error 4.939937348069634e-13 relative error 1.5582315677819105e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9399999999997832 y[1] (closed_form) 0.03974892356085791 y[1] (numeric) 0.03974892356036457 absolute error 4.933345398860922e-13 relative error 1.2411267921023532e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9299999999997843 y[1] (closed_form) 0.047697670047183394 y[1] (numeric) 0.04769767004669134 absolute error 4.920508445138694e-13 relative error 1.0316035228285236e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9199999999997854 y[1] (closed_form) 0.05554864758125033 y[1] (numeric) 0.05554864758075876 absolute error 4.915720608344998e-13 relative error 8.849397460405914e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9099999999997865 y[1] (closed_form) 0.06330207106351304 y[1] (numeric) 0.06330207106302257 absolute error 4.904687767037785e-13 relative error 7.748068403823235e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8999999999997876 y[1] (closed_form) 0.07095816514975217 y[1] (numeric) 0.07095816514926245 absolute error 4.897193761621565e-13 relative error 6.901522539775917e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8899999999997887 y[1] (closed_form) 0.07851716422860511 y[1] (numeric) 0.07851716422811647 absolute error 4.88636908713147e-13 relative error 6.223313252761725e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.87999999999979 y[1] (closed_form) 0.0859793123981305 y[1] (numeric) 0.0859793123976426 absolute error 4.879013859593329e-13 relative error 5.674636983604693e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.869999999999791 y[1] (closed_form) 0.09334486344139625 y[1] (numeric) 0.09334486344090903 absolute error 4.872213743567499e-13 relative error 5.219584199859451e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.859999999999792 y[1] (closed_form) 0.10061408080110246 y[1] (numeric) 0.10061408080061607 absolute error 4.863887070882811e-13 relative error 4.834201169613544e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.849999999999793 y[1] (closed_form) 0.1077872375532376 y[1] (numeric) 0.10778723755275209 absolute error 4.855144064563888e-13 relative error 4.5043774891863847e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8399999999997942 y[1] (closed_form) 0.11486461637977108 y[1] (numeric) 0.1148646163792862 absolute error 4.848760282172293e-13 relative error 4.2212827892456295e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8299999999997953 y[1] (closed_form) 0.12184650954038423 y[1] (numeric) 0.12184650953990026 absolute error 4.839739720097214e-13 relative error 3.9719970135813807e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8199999999997964 y[1] (closed_form) 0.12873321884324618 y[1] (numeric) 0.12873321884276304 absolute error 4.831413047412525e-13 relative error 3.753042991409671e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8099999999997975 y[1] (closed_form) 0.13552505561483263 y[1] (numeric) 0.13552505561434997 absolute error 4.826694599557868e-13 relative error 3.561477674855576e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7999999999997986 y[1] (closed_form) 0.14222234066879214 y[1] (numeric) 0.14222234066831027 absolute error 4.818645482629336e-13 relative error 3.3881072832650204e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7899999999997998 y[1] (closed_form) 0.1488254042738677 y[1] (numeric) 0.14882540427338645 absolute error 4.812539255993897e-13 relative error 3.2336812921656094e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.779999999999801 y[1] (closed_form) 0.1553345861208677 y[1] (numeric) 0.15533458612038717 absolute error 4.805322806333834e-13 relative error 3.093530504915856e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.769999999999802 y[1] (closed_form) 0.16175023528869836 y[1] (numeric) 0.16175023528821872 absolute error 4.796441022136833e-13 relative error 2.9653378949192565e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.759999999999803 y[1] (closed_form) 0.16807271020945613 y[1] (numeric) 0.16807271020897738 absolute error 4.787559237939831e-13 relative error 2.8485048119789724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.749999999999804 y[1] (closed_form) 0.1743023786325848 y[1] (numeric) 0.17430237863210649 absolute error 4.783118345841331e-13 relative error 2.744149783476997e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7399999999998053 y[1] (closed_form) 0.18043961758809912 y[1] (numeric) 0.18043961758762175 absolute error 4.773681450132017e-13 relative error 2.6455838878073886e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7299999999998064 y[1] (closed_form) 0.18648481334888567 y[1] (numeric) 0.1864848133484087 absolute error 4.769795669545829e-13 relative error 2.5577394662278705e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7199999999998075 y[1] (closed_form) 0.1924383613920715 y[1] (numeric) 0.19243836139159554 absolute error 4.759526106568046e-13 relative error 2.4732730377344294e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7099999999998086 y[1] (closed_form) 0.19830066635948151 y[1] (numeric) 0.19830066635900603 absolute error 4.754807658713389e-13 relative error 2.397776944477748e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6999999999998097 y[1] (closed_form) 0.20407214201717006 y[1] (numeric) 0.2040721420166953 absolute error 4.747591209053326e-13 relative error 2.3264278809078588e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6899999999998108 y[1] (closed_form) 0.2097532112140481 y[1] (numeric) 0.20975321121357385 absolute error 4.742595205442512e-13 relative error 2.2610358039299852e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.679999999999812 y[1] (closed_form) 0.2153443058395963 y[1] (numeric) 0.2153443058391228 absolute error 4.734823644270136e-13 relative error 2.198722471815423e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.669999999999813 y[1] (closed_form) 0.22084586678067852 y[1] (numeric) 0.22084586678020557 absolute error 4.729550084903167e-13 relative error 2.1415615124914568e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.659999999999814 y[1] (closed_form) 0.22625834387745192 y[1] (numeric) 0.2262583438769794 absolute error 4.725109192804666e-13 relative error 2.0883690350725463e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.649999999999815 y[1] (closed_form) 0.2315821958783837 y[1] (numeric) 0.23158219587791168 absolute error 4.720113189193853e-13 relative error 2.0382021041343953e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6399999999998163 y[1] (closed_form) 0.23681789039437673 y[1] (numeric) 0.23681789039390555 absolute error 4.711786516509164e-13 relative error 1.9896243939436117e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6299999999998174 y[1] (closed_form) 0.24196590385200967 y[1] (numeric) 0.24196590385153913 absolute error 4.70540273411757e-13 relative error 1.944655283744222e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6199999999998185 y[1] (closed_form) 0.24702672144589366 y[1] (numeric) 0.24702672144542337 absolute error 4.702904732312163e-13 relative error 1.9038040519605252e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6099999999998196 y[1] (closed_form) 0.25200083709015253 y[1] (numeric) 0.2520008370896829 absolute error 4.696243394164412e-13 relative error 1.8635824580552268e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5999999999998207 y[1] (closed_form) 0.2568887533690343 y[1] (numeric) 0.2568887533685651 absolute error 4.691802502065912e-13 relative error 1.826394671052761e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.589999999999822 y[1] (closed_form) 0.2616909814866504 y[1] (numeric) 0.26169098148618203 absolute error 4.683475829381223e-13 relative error 1.7896970704816362e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.579999999999823 y[1] (closed_form) 0.2664080412158585 y[1] (numeric) 0.26640804121539036 absolute error 4.681255383331973e-13 relative error 1.7571749568696243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.569999999999824 y[1] (closed_form) 0.2710404608462822 y[1] (numeric) 0.27104046084581485 absolute error 4.673483822159596e-13 relative error 1.7242753379209e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.559999999999825 y[1] (closed_form) 0.27558877713148666 y[1] (numeric) 0.2755887771310194 absolute error 4.672373599134971e-13 relative error 1.6954150483804812e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.549999999999826 y[1] (closed_form) 0.28005353523529886 y[1] (numeric) 0.28005353523483256 absolute error 4.662936703425657e-13 relative error 1.6650161903894173e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5399999999998273 y[1] (closed_form) 0.2844352886772974 y[1] (numeric) 0.28443528867683116 absolute error 4.662381591913345e-13 relative error 1.6391712904522874e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5299999999998284 y[1] (closed_form) 0.2887345992774546 y[1] (numeric) 0.28873459927698925 absolute error 4.653499807716344e-13 relative error 1.6116876257163218e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5199999999998295 y[1] (closed_form) 0.2929520370999614 y[1] (numeric) 0.29295203709949613 absolute error 4.652944696204031e-13 relative error 1.588295729999088e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5099999999998306 y[1] (closed_form) 0.2970881803962153 y[1] (numeric) 0.2970881803957509 absolute error 4.64406291200703e-13 relative error 1.5631934282317856e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4999999999998317 y[1] (closed_form) 0.3011436155470011 y[1] (numeric) 0.3011436155465373 absolute error 4.637956685371591e-13 relative error 1.5401145652539065e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.489999999999833 y[1] (closed_form) 0.30511893700384984 y[1] (numeric) 0.30511893700338644 absolute error 4.634070904785403e-13 relative error 1.5187752521328863e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.479999999999834 y[1] (closed_form) 0.30901474722959543 y[1] (numeric) 0.3090147472291321 absolute error 4.633515793273091e-13 relative error 1.4994481120444476e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.469999999999835 y[1] (closed_form) 0.3128316566381275 y[1] (numeric) 0.31283165663766477 absolute error 4.627409566637652e-13 relative error 1.4792011832710635e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.459999999999836 y[1] (closed_form) 0.3165702835333537 y[1] (numeric) 0.3165702835328913 absolute error 4.624078897563777e-13 relative error 1.4606800252862605e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.449999999999837 y[1] (closed_form) 0.3202312540473664 y[1] (numeric) 0.3202312540469043 absolute error 4.621303340002214e-13 relative error 1.44311439985763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4399999999998383 y[1] (closed_form) 0.32381520207783154 y[1] (numeric) 0.32381520207736986 absolute error 4.616862447903713e-13 relative error 1.425770753898705e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4299999999998394 y[1] (closed_form) 0.32732276922459924 y[1] (numeric) 0.3273227692241382 absolute error 4.610201109755963e-13 relative error 1.4084571998083575e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4199999999998405 y[1] (closed_form) 0.33075460472554497 y[1] (numeric) 0.3307546047250843 absolute error 4.606870440682087e-13 relative error 1.3928363732093153e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4099999999998416 y[1] (closed_form) 0.334111365391645 y[1] (numeric) 0.3341113653911846 absolute error 4.604094883120524e-13 relative error 1.3780120522759256e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3999999999998427 y[1] (closed_form) 0.3373937155412965 y[1] (numeric) 0.33739371554083647 absolute error 4.600209102534336e-13 relative error 1.3634542940890305e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.389999999999844 y[1] (closed_form) 0.3406023269338867 y[1] (numeric) 0.34060232693342707 absolute error 4.596323321948148e-13 relative error 1.3494691487648957e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.379999999999845 y[1] (closed_form) 0.34373787870261685 y[1] (numeric) 0.34373787870215744 absolute error 4.594102875898898e-13 relative error 1.336513419248003e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.369999999999846 y[1] (closed_form) 0.3468010572865894 y[1] (numeric) 0.3468010572861305 absolute error 4.589106872288085e-13 relative error 1.3232678435855343e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.359999999999847 y[1] (closed_form) 0.34979255636216555 y[1] (numeric) 0.34979255636170714 absolute error 4.584110868677271e-13 relative error 1.3105227041855658e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.349999999999848 y[1] (closed_form) 0.35271307677359776 y[1] (numeric) 0.3527130767731394 absolute error 4.583555757164959e-13 relative error 1.299513984310564e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3399999999998493 y[1] (closed_form) 0.3555633264629443 y[1] (numeric) 0.3555633264624866 absolute error 4.576894419017208e-13 relative error 1.2872234222092073e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3299999999998504 y[1] (closed_form) 0.3583440203992794 y[1] (numeric) 0.3583440203988218 absolute error 4.575784195992583e-13 relative error 1.2769249479575758e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3199999999998515 y[1] (closed_form) 0.3610558805071924 y[1] (numeric) 0.36105588050673504 absolute error 4.573563749943332e-13 relative error 1.2667190861200292e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3099999999998526 y[1] (closed_form) 0.36369963559459917 y[1] (numeric) 0.36369963559414226 absolute error 4.569122857844832e-13 relative error 1.2562901940704285e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2999999999998537 y[1] (closed_form) 0.3662760212798615 y[1] (numeric) 0.3662760212794046 absolute error 4.568567746332519e-13 relative error 1.247301892809904e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.289999999999855 y[1] (closed_form) 0.3687857799182237 y[1] (numeric) 0.3687857799177671 absolute error 4.565792188770956e-13 relative error 1.2380608031533637e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.279999999999856 y[1] (closed_form) 0.3712296605275802 y[1] (numeric) 0.3712296605271242 absolute error 4.56024107364783e-13 relative error 1.228415064455506e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.269999999999857 y[1] (closed_form) 0.373608418713574 y[1] (numeric) 0.37360841871311806 absolute error 4.559130850623205e-13 relative error 1.2202966052856673e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.259999999999858 y[1] (closed_form) 0.3759228165940347 y[1] (numeric) 0.3759228165935792 absolute error 4.555245070037017e-13 relative error 1.2117500904331386e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2499999999998592 y[1] (closed_form) 0.3781736227227701 y[1] (numeric) 0.3781736227223147 absolute error 4.554134847012392e-13 relative error 1.2042444457716495e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2399999999998603 y[1] (closed_form) 0.38036161201271 y[1] (numeric) 0.38036161201225444 absolute error 4.55580018154933e-13 relative error 1.1977549883233472e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2299999999998614 y[1] (closed_form) 0.38248756565841413 y[1] (numeric) 0.38248756565795905 absolute error 4.550804177938517e-13 relative error 1.18979140409565e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2199999999998625 y[1] (closed_form) 0.38455227105795764 y[1] (numeric) 0.3845522710575025 absolute error 4.551359289450829e-13 relative error 1.183547629800598e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2099999999998636 y[1] (closed_form) 0.38655652173418664 y[1] (numeric) 0.38655652173373206 absolute error 4.5458081743277035e-13 relative error 1.175975030490781e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1999999999998647 y[1] (closed_form) 0.38850111725537184 y[1] (numeric) 0.3885011172549171 absolute error 4.547473508864641e-13 relative error 1.1705174855071186e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.189999999999866 y[1] (closed_form) 0.39038686315524673 y[1] (numeric) 0.39038686315479254 absolute error 4.5419223937415154e-13 relative error 1.1634414019549912e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.179999999999867 y[1] (closed_form) 0.3922145708524605 y[1] (numeric) 0.3922145708520065 absolute error 4.539701947692265e-13 relative error 1.1574536707867405e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.169999999999868 y[1] (closed_form) 0.39398505756943303 y[1] (numeric) 0.3939850575689792 absolute error 4.5380366131553274e-13 relative error 1.1518296255069463e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.159999999999869 y[1] (closed_form) 0.39569914625063474 y[1] (numeric) 0.39569914625018093 absolute error 4.5380366131553274e-13 relative error 1.1468401324982763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1499999999998702 y[1] (closed_form) 0.39735766548029217 y[1] (numeric) 0.3973576654798387 absolute error 4.534705944081452e-13 relative error 1.1412151665931207e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1399999999998713 y[1] (closed_form) 0.3989614493995317 y[1] (numeric) 0.39896144939907835 absolute error 4.5335957210568267e-13 relative error 1.1363493209382119e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1299999999998724 y[1] (closed_form) 0.40051133762296454 y[1] (numeric) 0.400511337622511 absolute error 4.5352610555937645e-13 relative error 1.1323677083676448e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1199999999998735 y[1] (closed_form) 0.40200817515472576 y[1] (numeric) 0.4020081751542728 absolute error 4.5297099404706387e-13 relative error 1.1267706032911481e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1099999999998746 y[1] (closed_form) 0.4034528123039771 y[1] (numeric) 0.40345281230352453 absolute error 4.5258241598844506e-13 relative error 1.121772862119627e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0999999999998757 y[1] (closed_form) 0.4048461045998746 y[1] (numeric) 0.4048461045994217 absolute error 4.5285997174460135e-13 relative error 1.1185978242082403e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.089999999999877 y[1] (closed_form) 0.4061889127060154 y[1] (numeric) 0.4061889127055626 absolute error 4.528044605933701e-13 relative error 1.11476322082945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.079999999999878 y[1] (closed_form) 0.40748210233437465 y[1] (numeric) 0.4074821023339224 absolute error 4.522493490810575e-13 relative error 1.1098630994839313e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.069999999999879 y[1] (closed_form) 0.40872654415873466 y[1] (numeric) 0.4087265441582824 absolute error 4.522493490810575e-13 relative error 1.1064839207150201e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.05999999999988 y[1] (closed_form) 0.40992311372761625 y[1] (numeric) 0.40992311372716395 absolute error 4.5230486023228877e-13 relative error 1.1033895018001697e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0499999999998813 y[1] (closed_form) 0.4110726913767264 y[1] (numeric) 0.41107269137627417 absolute error 4.522493490810575e-13 relative error 1.1001687987748008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0399999999998824 y[1] (closed_form) 0.4121761621409248 y[1] (numeric) 0.41217616214047265 absolute error 4.52138326778595e-13 relative error 1.0969540898000962e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0299999999998835 y[1] (closed_form) 0.41323441566572106 y[1] (numeric) 0.41323441566526925 absolute error 4.5180525987120745e-13 relative error 1.09333889614046e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0199999999998846 y[1] (closed_form) 0.41424834611831196 y[1] (numeric) 0.4142483461178601 absolute error 4.518607710224387e-13 relative error 1.0907968016205052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0099999999998857 y[1] (closed_form) 0.41521885209816345 y[1] (numeric) 0.4152188520977116 absolute error 4.518607710224387e-13 relative error 1.0882472429638445e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9999999999998868 y[1] (closed_form) 0.4161468365471528 y[1] (numeric) 0.4161468365467011 absolute error 4.5169423756874494e-13 relative error 1.0854203321994118e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9899999999998879 y[1] (closed_form) 0.417033206659275 y[1] (numeric) 0.41703320665882376 absolute error 4.512501483588949e-13 relative error 1.0820484823588061e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.979999999999889 y[1] (closed_form) 0.4178788737899253 y[1] (numeric) 0.4178788737894738 absolute error 4.514721929638199e-13 relative error 1.0803900873696299e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.96999999999989 y[1] (closed_form) 0.41868475336476063 y[1] (numeric) 0.4186847533643094 absolute error 4.512501483588949e-13 relative error 1.0777802266082593e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9599999999998912 y[1] (closed_form) 0.4194517647881626 y[1] (numeric) 0.4194517647877114 absolute error 4.511946372076636e-13 relative error 1.0756770505794206e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9499999999998923 y[1] (closed_form) 0.4201808313512947 y[1] (numeric) 0.4201808313508434 absolute error 4.5130565951012613e-13 relative error 1.0740748407268712e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9399999999998934 y[1] (closed_form) 0.42087288013977453 y[1] (numeric) 0.4208728801393232 absolute error 4.5130565951012613e-13 relative error 1.0723087202963628e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9299999999998945 y[1] (closed_form) 0.4215288419409666 y[1] (numeric) 0.42152884194051554 absolute error 4.510836149052011e-13 relative error 1.0701132876890391e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9199999999998956 y[1] (closed_form) 0.4221496511509044 y[1] (numeric) 0.42214965115045355 absolute error 4.5086157030027607e-13 relative error 1.0680136038750583e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9099999999998967 y[1] (closed_form) 0.4227362456808512 y[1] (numeric) 0.42273624568040014 absolute error 4.510836149052011e-13 relative error 1.0670568694167545e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8999999999998978 y[1] (closed_form) 0.42328956686350905 y[1] (numeric) 0.423289566863058 absolute error 4.5102810375396984e-13 relative error 1.0655308778243645e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8899999999998989 y[1] (closed_form) 0.42381055935888723 y[1] (numeric) 0.4238105593584367 absolute error 4.505285033928885e-13 relative error 1.0630421858162724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8799999999999 y[1] (closed_form) 0.42430017105983797 y[1] (numeric) 0.42430017105938744 absolute error 4.505285033928885e-13 relative error 1.0618155120407709e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.869999999999901 y[1] (closed_form) 0.4247593529972655 y[1] (numeric) 0.4247593529968147 absolute error 4.508060591490448e-13 relative error 1.0613210891484407e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8599999999999022 y[1] (closed_form) 0.4251890592450249 y[1] (numeric) 0.4251890592445742 absolute error 4.5075054799781356e-13 relative error 1.0601179362380024e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8499999999999033 y[1] (closed_form) 0.4255902468245165 y[1] (numeric) 0.42559024682406604 absolute error 4.5047299224165727e-13 relative error 1.0584664371488773e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8399999999999044 y[1] (closed_form) 0.42596387560898386 y[1] (numeric) 0.4259638756085333 absolute error 4.505285033928885e-13 relative error 1.057668335721628e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8299999999999055 y[1] (closed_form) 0.4263109082275256 y[1] (numeric) 0.42631090822707546 absolute error 4.501399253342697e-13 relative error 1.055895865310644e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8199999999999066 y[1] (closed_form) 0.42663230996883694 y[1] (numeric) 0.42663230996838647 absolute error 4.5047299224165727e-13 relative error 1.0558810988191723e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8099999999999077 y[1] (closed_form) 0.42692904868467707 y[1] (numeric) 0.426929048684227 absolute error 4.5008441418303846e-13 relative error 1.0542370343964661e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7999999999999088 y[1] (closed_form) 0.4272020946930897 y[1] (numeric) 0.42720209469263914 absolute error 4.505285033928885e-13 relative error 1.0546027488852952e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7899999999999099 y[1] (closed_form) 0.4274524206813668 y[1] (numeric) 0.4274524206809165 absolute error 4.503064587879635e-13 relative error 1.0534656888131945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.779999999999911 y[1] (closed_form) 0.42768100160878575 y[1] (numeric) 0.4276810016083355 absolute error 4.5025094763673223e-13 relative error 1.0527728515951054e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.769999999999912 y[1] (closed_form) 0.42788881460911066 y[1] (numeric) 0.4278888146086606 absolute error 4.5008441418303846e-13 relative error 1.0518723528545708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7599999999999132 y[1] (closed_form) 0.42807683889288173 y[1] (numeric) 0.4280768388924316 absolute error 4.501399253342697e-13 relative error 1.0515400144012671e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7499999999999143 y[1] (closed_form) 0.4282460556494936 y[1] (numeric) 0.4282460556490434 absolute error 4.50195436485501e-13 relative error 1.051254134268016e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7399999999999154 y[1] (closed_form) 0.4283974479490782 y[1] (numeric) 0.4283974479486282 absolute error 4.4997339188057595e-13 relative error 1.0503643148081087e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7299999999999165 y[1] (closed_form) 0.4285320006441986 y[1] (numeric) 0.4285320006437488 absolute error 4.4980685842688217e-13 relative error 1.0496459021746375e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7199999999999176 y[1] (closed_form) 0.42865070027136465 y[1] (numeric) 0.42865070027091456 absolute error 4.5008441418303846e-13 relative error 1.0500027502535394e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7099999999999187 y[1] (closed_form) 0.4287545349523785 y[1] (numeric) 0.42875453495192833 absolute error 4.501399253342697e-13 relative error 1.0498779339657982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6999999999999198 y[1] (closed_form) 0.4288444942955252 y[1] (numeric) 0.4288444942950752 absolute error 4.4997339188057595e-13 relative error 1.049269368888039e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.689999999999921 y[1] (closed_form) 0.42892156929661285 y[1] (numeric) 0.4289215692961627 absolute error 4.501399253342697e-13 relative error 1.0494690814277604e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.679999999999922 y[1] (closed_form) 0.4289867522398718 y[1] (numeric) 0.42898675223942156 absolute error 4.5025094763673223e-13 relative error 1.0495684197375175e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.669999999999923 y[1] (closed_form) 0.4290410365987283 y[1] (numeric) 0.42904103659827836 absolute error 4.499178807293447e-13 relative error 1.0486593177569213e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6599999999999242 y[1] (closed_form) 0.4290854169364593 y[1] (numeric) 0.42908541693600916 absolute error 4.501399253342697e-13 relative error 1.0490683382999434e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6499999999999253 y[1] (closed_form) 0.42912088880673416 y[1] (numeric) 0.42912088880628413 absolute error 4.500289030318072e-13 relative error 1.048722900167392e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6399999999999264 y[1] (closed_form) 0.42914844865406243 y[1] (numeric) 0.4291484486536122 absolute error 4.5025094763673223e-13 relative error 1.0491729587951524e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6299999999999275 y[1] (closed_form) 0.42916909371414835 y[1] (numeric) 0.4291690937136983 absolute error 4.500289030318072e-13 relative error 1.04860510606002e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6199999999999286 y[1] (closed_form) 0.4291838219141706 y[1] (numeric) 0.42918382191372045 absolute error 4.501399253342697e-13 relative error 1.0488278037290277e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6099999999999297 y[1] (closed_form) 0.42919363177298786 y[1] (numeric) 0.42919363177253755 absolute error 4.503064587879635e-13 relative error 1.0491918459455214e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5999999999999308 y[1] (closed_form) 0.42919952230128855 y[1] (numeric) 0.42919952230083863 absolute error 4.499178807293447e-13 relative error 1.0482720910707638e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.589999999999932 y[1] (closed_form) 0.42920249290169243 y[1] (numeric) 0.42920249290124235 absolute error 4.5008441418303846e-13 relative error 1.0486528424850714e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.579999999999933 y[1] (closed_form) 0.4292035432688084 y[1] (numeric) 0.4292035432683581 absolute error 4.503064587879635e-13 relative error 1.0491676172065952e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5699999999999341 y[1] (closed_form) 0.4292036732892668 y[1] (numeric) 0.4292036732888165 absolute error 4.503064587879635e-13 relative error 1.0491672993778742e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5599999999999352 y[1] (closed_form) 0.4292038829417326 y[1] (numeric) 0.4292038829412824 absolute error 4.50195436485501e-13 relative error 1.0489081165806184e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5499999999999363 y[1] (closed_form) 0.42920517219690746 y[1] (numeric) 0.4292051721964573 absolute error 4.501399253342697e-13 relative error 1.0487756310815331e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5399999999999374 y[1] (closed_form) 0.4292085409175339 y[1] (numeric) 0.42920854091708366 absolute error 4.5025094763673223e-13 relative error 1.0490260670820186e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5299999999999385 y[1] (closed_form) 0.4292149887584089 y[1] (numeric) 0.4292149887579587 absolute error 4.50195436485501e-13 relative error 1.0488809763791853e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5199999999999396 y[1] (closed_form) 0.4292255150664208 y[1] (numeric) 0.4292255150659706 absolute error 4.50195436485501e-13 relative error 1.0488552536673761e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5099999999999407 y[1] (closed_form) 0.4292411187806142 y[1] (numeric) 0.4292411187801639 absolute error 4.503064587879635e-13 relative error 1.0490757736984555e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4999999999999418 y[1] (closed_form) 0.4292627983322972 y[1] (numeric) 0.42926279833184694 absolute error 4.5025094763673223e-13 relative error 1.0488934736156379e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.489999999999943 y[1] (closed_form) 0.4292915515451996 y[1] (numeric) 0.4292915515447492 absolute error 4.50417481090426e-13 relative error 1.0492111467583869e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.479999999999944 y[1] (closed_form) 0.4293283755356905 y[1] (numeric) 0.4293283755352403 absolute error 4.50195436485501e-13 relative error 1.04860396409572e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4699999999999451 y[1] (closed_form) 0.42937426661306866 y[1] (numeric) 0.4293742666126183 absolute error 4.5036196993919475e-13 relative error 1.0488797418897001e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4599999999999462 y[1] (closed_form) 0.4294302201799307 y[1] (numeric) 0.4294302201794805 absolute error 4.50195436485501e-13 relative error 1.0483552748031326e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4499999999999473 y[1] (closed_form) 0.4294972306326339 y[1] (numeric) 0.4294972306321835 absolute error 4.50417481090426e-13 relative error 1.0487086969733829e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4399999999999484 y[1] (closed_form) 0.42957629126185504 y[1] (numeric) 0.4295762912614046 absolute error 4.50417481090426e-13 relative error 1.0485156891860843e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4299999999999495 y[1] (closed_form) 0.42966839415326374 y[1] (numeric) 0.42966839415281355 absolute error 4.50195436485501e-13 relative error 1.0477741500458495e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4199999999999506 y[1] (closed_form) 0.4297745300883147 y[1] (numeric) 0.4297745300878646 absolute error 4.5008441418303846e-13 relative error 1.0472570677712109e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4099999999999517 y[1] (closed_form) 0.42989568844516945 y[1] (numeric) 0.4298956884447192 absolute error 4.5025094763673223e-13 relative error 1.0473492983034626e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3999999999999528 y[1] (closed_form) 0.4300328570997598 y[1] (numeric) 0.4300328570993095 absolute error 4.503064587879635e-13 relative error 1.0471443085185014e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.389999999999954 y[1] (closed_form) 0.43018702232700123 y[1] (numeric) 0.4301870223265511 absolute error 4.501399253342697e-13 relative error 1.0463819268636643e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.379999999999955 y[1] (closed_form) 0.4303591687021664 y[1] (numeric) 0.4303591687017163 absolute error 4.5008441418303846e-13 relative error 1.0458343795494295e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3699999999999561 y[1] (closed_form) 0.43055027900242804 y[1] (numeric) 0.4305502790019779 absolute error 4.501399253342697e-13 relative error 1.0454990910172682e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3599999999999572 y[1] (closed_form) 0.43076133410858164 y[1] (numeric) 0.4307613341081316 absolute error 4.500289030318072e-13 relative error 1.0447291049534376e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3499999999999583 y[1] (closed_form) 0.4309933129069594 y[1] (numeric) 0.4309933129065095 absolute error 4.499178807293447e-13 relative error 1.0439091912928835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3399999999999594 y[1] (closed_form) 0.43124719219154173 y[1] (numeric) 0.4312471921910917 absolute error 4.500289030318072e-13 relative error 1.0435520768142727e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3299999999999605 y[1] (closed_form) 0.4315239465662779 y[1] (numeric) 0.431523946565828 absolute error 4.499178807293447e-13 relative error 1.0426255235878124e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3199999999999616 y[1] (closed_form) 0.4318245483476282 y[1] (numeric) 0.43182454834717837 absolute error 4.4980685842688217e-13 relative error 1.0416426304341962e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3099999999999627 y[1] (closed_form) 0.4321499674673315 y[1] (numeric) 0.4321499674668818 absolute error 4.4969583612441966e-13 relative error 1.0406013420755714e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2999999999999639 y[1] (closed_form) 0.4325011713754139 y[1] (numeric) 0.43250117137496413 absolute error 4.497513472756509e-13 relative error 1.0398846917463346e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.289999999999965 y[1] (closed_form) 0.4328791249434438 y[1] (numeric) 0.432879124942994 absolute error 4.4980685842688217e-13 relative error 1.0391049891482986e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.279999999999966 y[1] (closed_form) 0.4332847903680459 y[1] (numeric) 0.4332847903675962 absolute error 4.4969583612441966e-13 relative error 1.0378758869944031e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2699999999999672 y[1] (closed_form) 0.43371912707468274 y[1] (numeric) 0.4337191270742331 absolute error 4.496403249731884e-13 relative error 1.036708544550225e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2599999999999683 y[1] (closed_form) 0.4341830916217122 y[1] (numeric) 0.43418309162126256 absolute error 4.496403249731884e-13 relative error 1.0356007261677143e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2499999999999694 y[1] (closed_form) 0.43467763760473277 y[1] (numeric) 0.4346776376042833 absolute error 4.4947379151949463e-13 relative error 1.0340393722490425e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2399999999999705 y[1] (closed_form) 0.4352037155612254 y[1] (numeric) 0.43520371556077586 absolute error 4.495293026707259e-13 relative error 1.0329169687603118e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2299999999999716 y[1] (closed_form) 0.43576227287549907 y[1] (numeric) 0.4357622728750496 absolute error 4.4947379151949463e-13 relative error 1.0314655937365029e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2199999999999727 y[1] (closed_form) 0.43635425368395464 y[1] (numeric) 0.4363542536835053 absolute error 4.493627692170321e-13 relative error 1.0298118224430083e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2099999999999738 y[1] (closed_form) 0.4369805987806714 y[1] (numeric) 0.4369805987802221 absolute error 4.4930725806580085e-13 relative error 1.0282087106830947e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1999999999999749 y[1] (closed_form) 0.4376422455233282 y[1] (numeric) 0.437642245522879 absolute error 4.4919623576333834e-13 relative error 1.0264005368727464e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.189999999999976 y[1] (closed_form) 0.43834012773946873 y[1] (numeric) 0.43834012773901976 absolute error 4.489741911584133e-13 relative error 1.024259844686784e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.179999999999977 y[1] (closed_form) 0.43907517563311993 y[1] (numeric) 0.43907517563267107 absolute error 4.488631688559508e-13 relative error 1.0222922947277016e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1699999999999782 y[1] (closed_form) 0.4398483156917714 y[1] (numeric) 0.4398483156913227 absolute error 4.48696635402257e-13 relative error 1.020116752514033e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1599999999999793 y[1] (closed_form) 0.4406604705937287 y[1] (numeric) 0.44066047059327984 absolute error 4.488631688559508e-13 relative error 1.0186145543101928e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1499999999999804 y[1] (closed_form) 0.4415125591158444 y[1] (numeric) 0.44151255911539583 absolute error 4.485856130997945e-13 relative error 1.0160200516110217e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1399999999999815 y[1] (closed_form) 0.4424054960416437 y[1] (numeric) 0.4424054960411951 absolute error 4.485856130997945e-13 relative error 1.0139693496429102e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1299999999999826 y[1] (closed_form) 0.4433401920698443 y[1] (numeric) 0.44334019206939596 absolute error 4.4836356849486947e-13 relative error 1.011330748970835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1199999999999837 y[1] (closed_form) 0.4443175537232895 y[1] (numeric) 0.4443175537228411 absolute error 4.4841907964610073e-13 relative error 1.0092310688345334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1099999999999848 y[1] (closed_form) 0.4453384832582947 y[1] (numeric) 0.4453384832578465 absolute error 4.4825254619240695e-13 relative error 1.0065434788226511e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0999999999999859 y[1] (closed_form) 0.4464038785744242 y[1] (numeric) 0.44640387857397595 absolute error 4.4825254619240695e-13 relative error 1.0041412445247707e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.089999999999987 y[1] (closed_form) 0.44751463312470063 y[1] (numeric) 0.44751463312425255 absolute error 4.480860127387132e-13 relative error 1.0012767842026148e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -1.079999999999988 y[1] (closed_form) 0.44867163582626146 y[1] (numeric) 0.4486716358258135 absolute error 4.4797499043625066e-13 relative error 9.984473157329683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0699999999999892 y[1] (closed_form) 0.44987577097146714 y[1] (numeric) 0.44987577097101933 absolute error 4.478084569825569e-13 relative error 9.954047003143867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0599999999999903 y[1] (closed_form) 0.4511279181394736 y[1] (numeric) 0.4511279181390258 absolute error 4.478084569825569e-13 relative error 9.926418627102336e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0499999999999914 y[1] (closed_form) 0.4524289521082743 y[1] (numeric) 0.45242895210782647 absolute error 4.478084569825569e-13 relative error 9.897873575415846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0399999999999925 y[1] (closed_form) 0.45377974276722277 y[1] (numeric) 0.4537797427667751 absolute error 4.476974346800944e-13 relative error 9.865963428644093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0299999999999936 y[1] (closed_form) 0.4551811550300455 y[1] (numeric) 0.45518115502959816 absolute error 4.4736436777270683e-13 relative error 9.828270850606222e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0199999999999947 y[1] (closed_form) 0.45663404874835134 y[1] (numeric) 0.4566340487479039 absolute error 4.474198789239381e-13 relative error 9.798215445176075e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0099999999999958 y[1] (closed_form) 0.4581392786256453 y[1] (numeric) 0.45813927862519804 absolute error 4.472533454702443e-13 relative error 9.762388128167982e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9999999999999968 y[1] (closed_form) 0.4596976941318608 y[1] (numeric) 0.4596976941314138 absolute error 4.46975789714088e-13 relative error 9.723254987349934e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9899999999999968 y[1] (closed_form) 0.4613101394184128 y[1] (numeric) 0.461310139417966 absolute error 4.4680925626039425e-13 relative error 9.685658694250678e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9799999999999968 y[1] (closed_form) 0.46297745323378325 y[1] (numeric) 0.4629774532333363 absolute error 4.46975789714088e-13 relative error 9.654374885689842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9699999999999968 y[1] (closed_form) 0.4647004688396462 y[1] (numeric) 0.4647004688391993 absolute error 4.4692027856285677e-13 relative error 9.61738385327679e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9599999999999967 y[1] (closed_form) 0.4664800139275439 y[1] (numeric) 0.4664800139270969 absolute error 4.46975789714088e-13 relative error 9.581885104803539e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9499999999999967 y[1] (closed_form) 0.46831691053611724 y[1] (numeric) 0.4683169105356701 absolute error 4.471423231677818e-13 relative error 9.547857724289833e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9399999999999967 y[1] (closed_form) 0.47021197496890255 y[1] (numeric) 0.4702119749684554 absolute error 4.471423231677818e-13 relative error 9.509377620537068e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9299999999999967 y[1] (closed_form) 0.4721660177127024 y[1] (numeric) 0.4721660177122554 absolute error 4.46975789714088e-13 relative error 9.466496379374303e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9199999999999967 y[1] (closed_form) 0.47417984335653796 y[1] (numeric) 0.4741798433560908 absolute error 4.471423231677818e-13 relative error 9.429804523166403e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9099999999999967 y[1] (closed_form) 0.4762542505111892 y[1] (numeric) 0.47625425051074216 absolute error 4.470313008653193e-13 relative error 9.386400234444032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8999999999999967 y[1] (closed_form) 0.47839003172933625 y[1] (numeric) 0.4783900317288893 absolute error 4.46975789714088e-13 relative error 9.343334101220951e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8899999999999967 y[1] (closed_form) 0.48058797342630377 y[1] (numeric) 0.4805879734258569 absolute error 4.468647674116255e-13 relative error 9.298292760548042e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8799999999999967 y[1] (closed_form) 0.4828488558014207 y[1] (numeric) 0.4828488558009736 absolute error 4.4708681201655054e-13 relative error 9.259353245737464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8699999999999967 y[1] (closed_form) 0.4851734527599997 y[1] (numeric) 0.48517345275955265 absolute error 4.470313008653193e-13 relative error 9.213845034642731e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8599999999999967 y[1] (closed_form) 0.487562531835949 y[1] (numeric) 0.48756253183550197 absolute error 4.470313008653193e-13 relative error 9.1686967655614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8499999999999966 y[1] (closed_form) 0.49001685411501883 y[1] (numeric) 0.49001685411457163 absolute error 4.4719783431901305e-13 relative error 9.126172509446887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8399999999999966 y[1] (closed_form) 0.4925371741586927 y[1] (numeric) 0.49253717415824577 absolute error 4.4692027856285677e-13 relative error 9.073838524498084e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8299999999999966 y[1] (closed_form) 0.4951242399287338 y[1] (numeric) 0.4951242399282868 absolute error 4.46975789714088e-13 relative error 9.027548111529017e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8199999999999966 y[1] (closed_form) 0.49777879271238723 y[1] (numeric) 0.4977787927119403 absolute error 4.4692027856285677e-13 relative error 8.978290861440613e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8099999999999966 y[1] (closed_form) 0.5005015670482539 y[1] (numeric) 0.5005015670478069 absolute error 4.46975789714088e-13 relative error 8.930557247805672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7999999999999966 y[1] (closed_form) 0.5032932906528355 y[1] (numeric) 0.5032932906523886 absolute error 4.468647674116255e-13 relative error 8.878814315843253e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7899999999999966 y[1] (closed_form) 0.506154684347765 y[1] (numeric) 0.5061546843473179 absolute error 4.4708681201655054e-13 relative error 8.833007494392158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7799999999999966 y[1] (closed_form) 0.5090864619877237 y[1] (numeric) 0.5090864619872766 absolute error 4.4708681201655054e-13 relative error 8.78213909422977e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7699999999999966 y[1] (closed_form) 0.5120893303890578 y[1] (numeric) 0.5120893303886106 absolute error 4.4719783431901305e-13 relative error 8.732809058514386e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7599999999999966 y[1] (closed_form) 0.5151639892590959 y[1] (numeric) 0.5151639892586488 absolute error 4.4708681201655054e-13 relative error 8.678533852095265e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7499999999999966 y[1] (closed_form) 0.5183111311261802 y[1] (numeric) 0.5183111311257332 absolute error 4.46975789714088e-13 relative error 8.623696518786011e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7399999999999965 y[1] (closed_form) 0.5215314412704132 y[1] (numeric) 0.5215314412699662 absolute error 4.46975789714088e-13 relative error 8.570447615301717e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7299999999999965 y[1] (closed_form) 0.5248255976551309 y[1] (numeric) 0.524825597654684 absolute error 4.46975789714088e-13 relative error 8.516653755288077e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7199999999999965 y[1] (closed_form) 0.5281942708591062 y[1] (numeric) 0.5281942708586594 absolute error 4.46753745109163e-13 relative error 8.458133110427713e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7099999999999965 y[1] (closed_form) 0.5316381240094931 y[1] (numeric) 0.5316381240090463 absolute error 4.46753745109163e-13 relative error 8.403342893091423e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6999999999999965 y[1] (closed_form) 0.5351578127155127 y[1] (numeric) 0.5351578127150661 absolute error 4.4653170050423796e-13 relative error 8.343925658833876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6899999999999965 y[1] (closed_form) 0.5387539850028945 y[1] (numeric) 0.5387539850024482 absolute error 4.4630965589931293e-13 relative error 8.284108671547275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6799999999999965 y[1] (closed_form) 0.5424272812490735 y[1] (numeric) 0.5424272812486268 absolute error 4.466427228067005e-13 relative error 8.234149318194224e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6699999999999965 y[1] (closed_form) 0.5461783341191521 y[1] (numeric) 0.5461783341187055 absolute error 4.4653170050423796e-13 relative error 8.175565975614558e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6599999999999965 y[1] (closed_form) 0.5500077685026362 y[1] (numeric) 0.5500077685021899 absolute error 4.4630965589931293e-13 relative error 8.11460640118529e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6499999999999965 y[1] (closed_form) 0.5539162014509457 y[1] (numeric) 0.5539162014504992 absolute error 4.4642067820177544e-13 relative error 8.059354050890856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6399999999999965 y[1] (closed_form) 0.5579042421157087 y[1] (numeric) 0.5579042421152623 absolute error 4.4630965589931293e-13 relative error 7.999753760731377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6299999999999965 y[1] (closed_form) 0.5619724916878496 y[1] (numeric) 0.5619724916874032 absolute error 4.4642067820177544e-13 relative error 7.943817265165037e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6199999999999964 y[1] (closed_form) 0.5661215433374674 y[1] (numeric) 0.5661215433370211 absolute error 4.4630965589931293e-13 relative error 7.883636670460814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6099999999999964 y[1] (closed_form) 0.5703519821545221 y[1] (numeric) 0.5703519821540756 absolute error 4.4653170050423796e-13 relative error 7.829054942834612e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5999999999999964 y[1] (closed_form) 0.5746643850903231 y[1] (numeric) 0.5746643850898767 absolute error 4.4642067820177544e-13 relative error 7.768372110472951e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5899999999999964 y[1] (closed_form) 0.5790593208998381 y[1] (numeric) 0.5790593208993915 absolute error 4.466427228067005e-13 relative error 7.713246409929697e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5799999999999964 y[1] (closed_form) 0.5835373500848148 y[1] (numeric) 0.5835373500843681 absolute error 4.466427228067005e-13 relative error 7.654055438641294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5699999999999964 y[1] (closed_form) 0.5880990248377328 y[1] (numeric) 0.5880990248372864 absolute error 4.4642067820177544e-13 relative error 7.590910022762766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5599999999999964 y[1] (closed_form) 0.5927448889865855 y[1] (numeric) 0.5927448889861391 absolute error 4.4642067820177544e-13 relative error 7.531413370177173e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5499999999999964 y[1] (closed_form) 0.5974754779404959 y[1] (numeric) 0.5974754779400494 absolute error 4.4653170050423796e-13 relative error 7.473640626113013e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5399999999999964 y[1] (closed_form) 0.6022913186361777 y[1] (numeric) 0.602291318635731 absolute error 4.466427228067005e-13 relative error 7.41572572917162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5299999999999964 y[1] (closed_form) 0.6071929294852408 y[1] (numeric) 0.6071929294847941 absolute error 4.46753745109163e-13 relative error 7.357690174157773e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5199999999999964 y[1] (closed_form) 0.6121808203223519 y[1] (numeric) 0.6121808203219054 absolute error 4.4653170050423796e-13 relative error 7.29411451128297e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5099999999999963 y[1] (closed_form) 0.6172554923542507 y[1] (numeric) 0.6172554923538038 absolute error 4.468647674116255e-13 relative error 7.239542992274652e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.49999999999999634 y[1] (closed_form) 0.6224174381096291 y[1] (numeric) 0.6224174381091824 absolute error 4.46753745109163e-13 relative error 7.177718967290152e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4899999999999963 y[1] (closed_form) 0.6276671413898803 y[1] (numeric) 0.6276671413894336 absolute error 4.46753745109163e-13 relative error 7.117685723039283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4799999999999963 y[1] (closed_form) 0.6330050772207177 y[1] (numeric) 0.6330050772202711 absolute error 4.466427228067005e-13 relative error 7.055910590286846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4699999999999963 y[1] (closed_form) 0.6384317118046731 y[1] (numeric) 0.6384317118042263 absolute error 4.46753745109163e-13 relative error 6.99767472148762e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4599999999999963 y[1] (closed_form) 0.6439475024744769 y[1] (numeric) 0.64394750247403 absolute error 4.468647674116255e-13 relative error 6.939459594058091e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4499999999999963 y[1] (closed_form) 0.6495528976473252 y[1] (numeric) 0.6495528976468784 absolute error 4.46753745109163e-13 relative error 6.877865478351357e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4399999999999963 y[1] (closed_form) 0.6552483367800387 y[1] (numeric) 0.6552483367795919 absolute error 4.46753745109163e-13 relative error 6.818082855495053e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4299999999999963 y[1] (closed_form) 0.6610342503251171 y[1] (numeric) 0.6610342503246701 absolute error 4.46975789714088e-13 relative error 6.761764454629265e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.41999999999999627 y[1] (closed_form) 0.6669110596876938 y[1] (numeric) 0.6669110596872471 absolute error 4.46753745109163e-13 relative error 6.698850448189782e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.40999999999999626 y[1] (closed_form) 0.6728791771833972 y[1] (numeric) 0.6728791771829503 absolute error 4.468647674116255e-13 relative error 6.641084797454356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.39999999999999625 y[1] (closed_form) 0.6789390059971173 y[1] (numeric) 0.6789390059966706 absolute error 4.46753745109163e-13 relative error 6.580174966572178e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.38999999999999624 y[1] (closed_form) 0.6850909401426893 y[1] (numeric) 0.6850909401422427 absolute error 4.466427228067005e-13 relative error 6.519466199825598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.37999999999999623 y[1] (closed_form) 0.691335364423492 y[1] (numeric) 0.6913353644230456 absolute error 4.4642067820177544e-13 relative error 6.457367887928717e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3699999999999962 y[1] (closed_form) 0.6976726543939681 y[1] (numeric) 0.6976726543935214 absolute error 4.466427228067005e-13 relative error 6.401895215381141e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3599999999999962 y[1] (closed_form) 0.7041031763220676 y[1] (numeric) 0.7041031763216211 absolute error 4.4653170050423796e-13 relative error 6.341850392391747e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3499999999999962 y[1] (closed_form) 0.7106272871526235 y[1] (numeric) 0.7106272871521769 absolute error 4.4653170050423796e-13 relative error 6.283627276591408e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3399999999999962 y[1] (closed_form) 0.7172453344716564 y[1] (numeric) 0.7172453344712095 absolute error 4.468647674116255e-13 relative error 6.230291727736354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3299999999999962 y[1] (closed_form) 0.7239576564716156 y[1] (numeric) 0.7239576564711688 absolute error 4.46753745109163e-13 relative error 6.170992752345854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3199999999999962 y[1] (closed_form) 0.7307645819175618 y[1] (numeric) 0.730764581917115 absolute error 4.46753745109163e-13 relative error 6.113511193124049e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.30999999999999617 y[1] (closed_form) 0.7376664301142893 y[1] (numeric) 0.7376664301138426 absolute error 4.46753745109163e-13 relative error 6.056311184446144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.29999999999999616 y[1] (closed_form) 0.7446635108743968 y[1] (numeric) 0.7446635108739499 absolute error 4.468647674116255e-13 relative error 6.000895181327055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.28999999999999615 y[1] (closed_form) 0.7517561244873056 y[1] (numeric) 0.7517561244868589 absolute error 4.466427228067005e-13 relative error 5.941324696374226e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.27999999999999614 y[1] (closed_form) 0.7589445616892317 y[1] (numeric) 0.7589445616887853 absolute error 4.4642067820177544e-13 relative error 5.882125002755778e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.26999999999999613 y[1] (closed_form) 0.7662291036341123 y[1] (numeric) 0.7662291036336658 absolute error 4.4653170050423796e-13 relative error 5.827652570052528e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2599999999999961 y[1] (closed_form) 0.7736100218654897 y[1] (numeric) 0.7736100218650431 absolute error 4.4653170050423796e-13 relative error 5.772051652426473e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.24999999999999611 y[1] (closed_form) 0.7810875782893582 y[1] (numeric) 0.7810875782889117 absolute error 4.4642067820177544e-13 relative error 5.715372905807452e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2399999999999961 y[1] (closed_form) 0.7886620251479733 y[1] (numeric) 0.7886620251475268 absolute error 4.4653170050423796e-13 relative error 5.6618892030519295e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2299999999999961 y[1] (closed_form) 0.7963336049946282 y[1] (numeric) 0.7963336049941817 absolute error 4.4653170050423796e-13 relative error 5.607344681972201e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2199999999999961 y[1] (closed_form) 0.8041025506693976 y[1] (numeric) 0.8041025506689511 absolute error 4.4653170050423796e-13 relative error 5.5531685620510736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.20999999999999608 y[1] (closed_form) 0.8119690852758549 y[1] (numeric) 0.8119690852754086 absolute error 4.4630965589931293e-13 relative error 5.496633603330915e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.19999999999999607 y[1] (closed_form) 0.8199334221587616 y[1] (numeric) 0.8199334221583152 absolute error 4.4642067820177544e-13 relative error 5.4445966725739364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.18999999999999606 y[1] (closed_form) 0.8279957648827329 y[1] (numeric) 0.8279957648822865 absolute error 4.4630965589931293e-13 relative error 5.390240805911885e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.17999999999999605 y[1] (closed_form) 0.8361563072118817 y[1] (numeric) 0.8361563072114355 absolute error 4.461986335968504e-13 relative error 5.3363064985382435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.16999999999999604 y[1] (closed_form) 0.8444152330904425 y[1] (numeric) 0.8444152330899966 absolute error 4.459765889919254e-13 relative error 5.281484410930307e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.15999999999999603 y[1] (closed_form) 0.8527727166243763 y[1] (numeric) 0.8527727166239302 absolute error 4.460876112943879e-13 relative error 5.231025836053778e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.14999999999999603 y[1] (closed_form) 0.8612289220639612 y[1] (numeric) 0.8612289220635148 absolute error 4.4642067820177544e-13 relative error 5.183530960989034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.13999999999999602 y[1] (closed_form) 0.8697840037873662 y[1] (numeric) 0.8697840037869197 absolute error 4.4653170050423796e-13 relative error 5.133822863606036e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.129999999999996 y[1] (closed_form) 0.8784381062852155 y[1] (numeric) 0.8784381062847688 absolute error 4.466427228067005e-13 relative error 5.0845098773718545e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.119999999999996 y[1] (closed_form) 0.8871913641461374 y[1] (numeric) 0.8871913641456907 absolute error 4.46753745109163e-13 relative error 5.03559618774168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.10999999999999599 y[1] (closed_form) 0.8960439020433068 y[1] (numeric) 0.8960439020428601 absolute error 4.466427228067005e-13 relative error 4.984607582152975e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.09999999999999598 y[1] (closed_form) 0.9049958347219779 y[1] (numeric) 0.9049958347215312 absolute error 4.466427228067005e-13 relative error 4.935301419855847e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.08999999999999597 y[1] (closed_form) 0.9140472669880094 y[1] (numeric) 0.914047266987563 absolute error 4.4642067820177544e-13 relative error 4.883999923470387e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.07999999999999596 y[1] (closed_form) 0.9231982936973845 y[1] (numeric) 0.923198293696938 absolute error 4.4653170050423796e-13 relative error 4.836790790804979e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.06999999999999595 y[1] (closed_form) 0.9324489997467243 y[1] (numeric) 0.9324489997462777 absolute error 4.466427228067005e-13 relative error 4.789996267120448e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.059999999999995945 y[1] (closed_form) 0.9417994600647998 y[1] (numeric) 0.9417994600643531 absolute error 4.466427228067005e-13 relative error 4.742439784112528e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.04999999999999594 y[1] (closed_form) 0.9512497396050376 y[1] (numeric) 0.951249739604591 absolute error 4.4653170050423796e-13 relative error 4.694158451908114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.03999999999999593 y[1] (closed_form) 0.9607998933390259 y[1] (numeric) 0.9607998933385793 absolute error 4.466427228067005e-13 relative error 4.648654999892876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.02999999999999592 y[1] (closed_form) 0.9704499662510163 y[1] (numeric) 0.9704499662505698 absolute error 4.4653170050423796e-13 relative error 4.601285136102918e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.01999999999999591 y[1] (closed_form) 0.9801999933334261 y[1] (numeric) 0.9801999933329797 absolute error 4.4642067820177544e-13 relative error 4.5543836078146185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.009999999999995901 y[1] (closed_form) 0.9900499995833388 y[1] (numeric) 0.9900499995828922 absolute error 4.466427228067005e-13 relative error 4.5113148123293714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.100886297209172e-15 y[1] (closed_form) 1.000000000000004 y[1] (numeric) 0.9999999999995576 absolute error 4.4642067820177544e-13 relative error 4.4642067820177364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.010000000000004103 y[1] (closed_form) 1.0100499995833387 y[1] (numeric) 1.0100499995828927 absolute error 4.460876112943879e-13 relative error 4.416490386400732e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.02000000000000411 y[1] (closed_form) 1.0201999933334265 y[1] (numeric) 1.0201999933329802 absolute error 4.4630965589931293e-13 relative error 4.3747271007229655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.03000000000000412 y[1] (closed_form) 1.0304499662510167 y[1] (numeric) 1.0304499662505708 absolute error 4.4586556668946287e-13 relative error 4.3269016574536955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.04000000000000413 y[1] (closed_form) 1.0407998933390261 y[1] (numeric) 1.0407998933385807 absolute error 4.454214774796128e-13 relative error 4.2796072552490447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.05000000000000414 y[1] (closed_form) 1.051249739605038 y[1] (numeric) 1.0512497396045923 absolute error 4.4564352208453784e-13 relative error 4.239178430160366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.06000000000000415 y[1] (closed_form) 1.0617994600648002 y[1] (numeric) 1.0617994600643543 absolute error 4.4586556668946287e-13 relative error 4.1991504371480116e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.07000000000000416 y[1] (closed_form) 1.0724489997467248 y[1] (numeric) 1.0724489997462792 absolute error 4.4564352208453784e-13 relative error 4.155381954664356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.08000000000000417 y[1] (closed_form) 1.083198293697385 y[1] (numeric) 1.083198293696939 absolute error 4.4586556668946287e-13 relative error 4.1161952459096574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.09000000000000417 y[1] (closed_form) 1.0940472669880104 y[1] (numeric) 1.094047266987564 absolute error 4.4630965589931293e-13 relative error 4.0794366876673894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000418 y[1] (closed_form) 1.1049958347219788 y[1] (numeric) 1.1049958347215325 absolute error 4.4630965589931293e-13 relative error 4.03901663585552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000419 y[1] (closed_form) 1.1160439020433077 y[1] (numeric) 1.1160439020428616 absolute error 4.460876112943879e-13 relative error 3.997043579358024e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1200000000000042 y[1] (closed_form) 1.1271913641461384 y[1] (numeric) 1.1271913641456923 absolute error 4.460876112943879e-13 relative error 3.957514451260056e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1300000000000042 y[1] (closed_form) 1.1384381062852167 y[1] (numeric) 1.1384381062847708 absolute error 4.4586556668946287e-13 relative error 3.916467344407028e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1400000000000042 y[1] (closed_form) 1.1497840037873677 y[1] (numeric) 1.1497840037869216 absolute error 4.460876112943879e-13 relative error 3.879751412656494e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1500000000000042 y[1] (closed_form) 1.1612289220639624 y[1] (numeric) 1.1612289220635166 absolute error 4.4586556668946287e-13 relative error 3.8396009453242315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000422 y[1] (closed_form) 1.1727727166243778 y[1] (numeric) 1.172772716623932 absolute error 4.4586556668946287e-13 relative error 3.801807122293988e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000423 y[1] (closed_form) 1.184415233090444 y[1] (numeric) 1.1844152330899982 absolute error 4.4586556668946287e-13 relative error 3.764436273975343e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000424 y[1] (closed_form) 1.1961563072118835 y[1] (numeric) 1.1961563072114376 absolute error 4.4586556668946287e-13 relative error 3.727485814364256e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000425 y[1] (closed_form) 1.2079957648827346 y[1] (numeric) 1.2079957648822888 absolute error 4.4586556668946287e-13 relative error 3.690953061683498e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.20000000000000426 y[1] (closed_form) 1.2199334221587634 y[1] (numeric) 1.2199334221583171 absolute error 4.4630965589931293e-13 relative error 3.658475518356851e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.21000000000000427 y[1] (closed_form) 1.2319690852758567 y[1] (numeric) 1.2319690852754106 absolute error 4.460876112943879e-13 relative error 3.620931861244733e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.22000000000000428 y[1] (closed_form) 1.2441025506693997 y[1] (numeric) 1.2441025506689531 absolute error 4.4653170050423796e-13 relative error 3.589187243961343e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000428 y[1] (closed_form) 1.2563336049946303 y[1] (numeric) 1.2563336049941838 absolute error 4.4653170050423796e-13 relative error 3.5542446586561415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2400000000000043 y[1] (closed_form) 1.2686620251479757 y[1] (numeric) 1.268662025147529 absolute error 4.46753745109163e-13 relative error 3.52145596111032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000043 y[1] (closed_form) 1.2810875782893605 y[1] (numeric) 1.2810875782889137 absolute error 4.46753745109163e-13 relative error 3.4873005771058554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000043 y[1] (closed_form) 1.2936100218654922 y[1] (numeric) 1.2936100218650453 absolute error 4.46975789714088e-13 relative error 3.455259175168666e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2700000000000043 y[1] (closed_form) 1.306229103634115 y[1] (numeric) 1.3062291036336682 absolute error 4.46753745109163e-13 relative error 3.420179077822034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2800000000000043 y[1] (closed_form) 1.3189445616892344 y[1] (numeric) 1.3189445616887876 absolute error 4.46753745109163e-13 relative error 3.387206392791706e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2900000000000043 y[1] (closed_form) 1.3317561244873082 y[1] (numeric) 1.3317561244868614 absolute error 4.46753745109163e-13 relative error 3.3546212921014476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3000000000000043 y[1] (closed_form) 1.3446635108743994 y[1] (numeric) 1.344663510873953 absolute error 4.4630965589931293e-13 relative error 3.319117774000497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3100000000000043 y[1] (closed_form) 1.3576664301142922 y[1] (numeric) 1.357666430113846 absolute error 4.4630965589931293e-13 relative error 3.287329243765284e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.32000000000000434 y[1] (closed_form) 1.3707645819175647 y[1] (numeric) 1.3707645819171186 absolute error 4.460876112943879e-13 relative error 3.2542977632990436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.33000000000000435 y[1] (closed_form) 1.3839576564716187 y[1] (numeric) 1.3839576564711724 absolute error 4.4630965589931293e-13 relative error 3.224879416016046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.34000000000000435 y[1] (closed_form) 1.3972453344716596 y[1] (numeric) 1.397245334471213 absolute error 4.4653170050423796e-13 relative error 3.1958002613269414e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.35000000000000436 y[1] (closed_form) 1.4106272871526269 y[1] (numeric) 1.4106272871521803 absolute error 4.4653170050423796e-13 relative error 3.1654832185018137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.36000000000000437 y[1] (closed_form) 1.4241031763220708 y[1] (numeric) 1.424103176321624 absolute error 4.46753745109163e-13 relative error 3.137088327146084e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000044 y[1] (closed_form) 1.4376726543939715 y[1] (numeric) 1.4376726543935245 absolute error 4.46975789714088e-13 relative error 3.1090233812821854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000044 y[1] (closed_form) 1.4513353644234956 y[1] (numeric) 1.4513353644230484 absolute error 4.4719783431901305e-13 relative error 3.081285313382069e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3900000000000044 y[1] (closed_form) 1.4650909401426928 y[1] (numeric) 1.4650909401422456 absolute error 4.4719783431901305e-13 relative error 3.052355468633627e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4000000000000044 y[1] (closed_form) 1.478939005997121 y[1] (numeric) 1.4789390059966736 absolute error 4.474198789239381e-13 relative error 3.025276073655799e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4100000000000044 y[1] (closed_form) 1.492879177183401 y[1] (numeric) 1.492879177182954 absolute error 4.46975789714088e-13 relative error 2.99405200732582e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4200000000000044 y[1] (closed_form) 1.506911059687698 y[1] (numeric) 1.506911059687251 absolute error 4.46975789714088e-13 relative error 2.966172335391328e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000443 y[1] (closed_form) 1.521034250325121 y[1] (numeric) 1.5210342503246743 absolute error 4.46753745109163e-13 relative error 2.93717084288976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.44000000000000444 y[1] (closed_form) 1.535248336780043 y[1] (numeric) 1.535248336779596 absolute error 4.46975789714088e-13 relative error 2.911423376960328e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.45000000000000445 y[1] (closed_form) 1.5495528976473294 y[1] (numeric) 1.5495528976468824 absolute error 4.46975789714088e-13 relative error 2.8845468289125648e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.46000000000000446 y[1] (closed_form) 1.563947502474481 y[1] (numeric) 1.563947502474034 absolute error 4.4719783431901305e-13 relative error 2.8594171710460593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000447 y[1] (closed_form) 1.5784317118046773 y[1] (numeric) 1.5784317118042304 absolute error 4.46975789714088e-13 relative error 2.8317714752641698e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000045 y[1] (closed_form) 1.5930050772207223 y[1] (numeric) 1.593005077220275 absolute error 4.4719783431901305e-13 relative error 2.8072593158285996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000045 y[1] (closed_form) 1.607667141389885 y[1] (numeric) 1.607667141389438 absolute error 4.4719783431901305e-13 relative error 2.7816568666844475e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000044 y[1] (closed_form) 1.622417438109634 y[1] (numeric) 1.622417438109187 absolute error 4.46975789714088e-13 relative error 2.7549986779905647e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000044 y[1] (closed_form) 1.6372554923542555 y[1] (numeric) 1.637255492353808 absolute error 4.474198789239381e-13 relative error 2.7327431852470414e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000045 y[1] (closed_form) 1.6521808203223567 y[1] (numeric) 1.6521808203219097 absolute error 4.46975789714088e-13 relative error 2.705368469456501e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000045 y[1] (closed_form) 1.6671929294852457 y[1] (numeric) 1.6671929294847982 absolute error 4.474198789239381e-13 relative error 2.6836718835058955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000045 y[1] (closed_form) 1.6822913186361825 y[1] (numeric) 1.6822913186357351 absolute error 4.474198789239381e-13 relative error 2.6595862082118875e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000045 y[1] (closed_form) 1.697475477940501 y[1] (numeric) 1.6974754779400536 absolute error 4.474198789239381e-13 relative error 2.6357958317417342e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000045 y[1] (closed_form) 1.7127448889865908 y[1] (numeric) 1.7127448889861432 absolute error 4.476419235288631e-13 relative error 2.6135936904983385e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000045 y[1] (closed_form) 1.7280990248377381 y[1] (numeric) 1.7280990248372905 absolute error 4.476419235288631e-13 relative error 2.590371946832705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000045 y[1] (closed_form) 1.7435373500848201 y[1] (numeric) 1.7435373500843723 absolute error 4.4786396813378815e-13 relative error 2.5687087696285962e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000045 y[1] (closed_form) 1.7590593208998435 y[1] (numeric) 1.7590593208993959 absolute error 4.476419235288631e-13 relative error 2.5447801459013486e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000045 y[1] (closed_form) 1.7746643850903288 y[1] (numeric) 1.7746643850898811 absolute error 4.476419235288631e-13 relative error 2.522403262778492e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000045 y[1] (closed_form) 1.7903519821545275 y[1] (numeric) 1.7903519821540799 absolute error 4.476419235288631e-13 relative error 2.5003012144582115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000045 y[1] (closed_form) 1.8061215433374733 y[1] (numeric) 1.8061215433370257 absolute error 4.476419235288631e-13 relative error 2.4784706498859438e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000046 y[1] (closed_form) 1.8219724916878552 y[1] (numeric) 1.8219724916874078 absolute error 4.474198789239381e-13 relative error 2.4556895395794544e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000046 y[1] (closed_form) 1.8379042421157146 y[1] (numeric) 1.8379042421152672 absolute error 4.474198789239381e-13 relative error 2.4344025584754513e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000046 y[1] (closed_form) 1.8539162014509516 y[1] (numeric) 1.853916201450504 absolute error 4.476419235288631e-13 relative error 2.4145747427986227e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000046 y[1] (closed_form) 1.8700077685026422 y[1] (numeric) 1.870007768502195 absolute error 4.4719783431901305e-13 relative error 2.3914223344488807e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000046 y[1] (closed_form) 1.886178334119158 y[1] (numeric) 1.886178334118711 absolute error 4.46975789714088e-13 relative error 2.3697429963472938e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000046 y[1] (closed_form) 1.9024272812490794 y[1] (numeric) 1.9024272812486325 absolute error 4.46975789714088e-13 relative error 2.3495026281404907e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000046 y[1] (closed_form) 1.918753985002901 y[1] (numeric) 1.9187539850024538 absolute error 4.4719783431901305e-13 relative error 2.3306679116465102e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000046 y[1] (closed_form) 1.9351578127155191 y[1] (numeric) 1.935157812715072 absolute error 4.4719783431901305e-13 relative error 2.3109114480512608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000046 y[1] (closed_form) 1.9516381240094993 y[1] (numeric) 1.9516381240090523 absolute error 4.46975789714088e-13 relative error 2.2902595733055707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000046 y[1] (closed_form) 1.9681942708591127 y[1] (numeric) 1.9681942708586655 absolute error 4.4719783431901305e-13 relative error 2.2721224268365142e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000046 y[1] (closed_form) 1.9848255976551374 y[1] (numeric) 1.98482559765469 absolute error 4.474198789239381e-13 relative error 2.254202482336572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000047 y[1] (closed_form) 2.00153144127042 y[1] (numeric) 2.0015314412699725 absolute error 4.476419235288631e-13 relative error 2.2364970856752268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000047 y[1] (closed_form) 2.018311131126187 y[1] (numeric) 2.0183111311257402 absolute error 4.46753745109163e-13 relative error 2.2135028550324706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000047 y[1] (closed_form) 2.035163989259103 y[1] (numeric) 2.0351639892586557 absolute error 4.4719783431901305e-13 relative error 2.197355282813423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000047 y[1] (closed_form) 2.0520893303890646 y[1] (numeric) 2.052089330388618 absolute error 4.46753745109163e-13 relative error 2.1770677255286005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000047 y[1] (closed_form) 2.0690864619877307 y[1] (numeric) 2.0690864619872835 absolute error 4.4719783431901305e-13 relative error 2.161329855154525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000047 y[1] (closed_form) 2.086154684347772 y[1] (numeric) 2.086154684347325 absolute error 4.46753745109163e-13 relative error 2.141517829243994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000047 y[1] (closed_form) 2.1032932906528425 y[1] (numeric) 2.103293290652396 absolute error 4.46753745109163e-13 relative error 2.124067751723274e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000047 y[1] (closed_form) 2.1205015670482608 y[1] (numeric) 2.120501567047814 absolute error 4.46753745109163e-13 relative error 2.1068305350561207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000047 y[1] (closed_form) 2.137778792712395 y[1] (numeric) 2.1377787927119467 absolute error 4.480860127387132e-13 relative error 2.096035447007993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000047 y[1] (closed_form) 2.155124239928741 y[1] (numeric) 2.155124239928293 absolute error 4.480860127387132e-13 relative error 2.079165574015951e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000047 y[1] (closed_form) 2.1725371741587 y[1] (numeric) 2.1725371741582524 absolute error 4.476419235288631e-13 relative error 2.0604569111790196e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000048 y[1] (closed_form) 2.190016854115026 y[1] (numeric) 2.190016854114578 absolute error 4.476419235288631e-13 relative error 2.0440113174825443e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000048 y[1] (closed_form) 2.2075625318359564 y[1] (numeric) 2.2075625318355083 absolute error 4.480860127387132e-13 relative error 2.0297772148091993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000048 y[1] (closed_form) 2.225173452760007 y[1] (numeric) 2.2251734527595595 absolute error 4.476419235288631e-13 relative error 2.0117169876066416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000048 y[1] (closed_form) 2.2428488558014283 y[1] (numeric) 2.24284885580098 absolute error 4.4853010194856324e-13 relative error 1.9998231302496385e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000048 y[1] (closed_form) 2.2605879734263117 y[1] (numeric) 2.2605879734258623 absolute error 4.4941828036826337e-13 relative error 1.988059237911862e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000048 y[1] (closed_form) 2.278390031729344 y[1] (numeric) 2.2783900317288945 absolute error 4.4941828036826337e-13 relative error 1.9725256611447945e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000048 y[1] (closed_form) 2.296254250511197 y[1] (numeric) 2.296254250510748 absolute error 4.489741911584133e-13 relative error 1.9552459883676283e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000048 y[1] (closed_form) 2.3141798433565457 y[1] (numeric) 2.314179843356096 absolute error 4.4986236957811343e-13 relative error 1.943938673865647e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000048 y[1] (closed_form) 2.3321660177127104 y[1] (numeric) 2.3321660177122605 absolute error 4.4986236957811343e-13 relative error 1.9289465936876973e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000048 y[1] (closed_form) 2.3502119749689108 y[1] (numeric) 2.3502119749684605 absolute error 4.503064587879635e-13 relative error 1.9160248674757103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000048 y[1] (closed_form) 2.3683169105361253 y[1] (numeric) 2.368316910535676 absolute error 4.4941828036826337e-13 relative error 1.8976272912163887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000048 y[1] (closed_form) 2.386480013927552 y[1] (numeric) 2.386480013927103 absolute error 4.489741911584133e-13 relative error 1.881323910270313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000049 y[1] (closed_form) 2.4047004688396543 y[1] (numeric) 2.404700468839205 absolute error 4.4941828036826337e-13 relative error 1.868915842916279e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000049 y[1] (closed_form) 2.4229774532337918 y[1] (numeric) 2.4229774532333415 absolute error 4.503064587879635e-13 relative error 1.8584839004051337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000049 y[1] (closed_form) 2.4413101394184213 y[1] (numeric) 2.4413101394179715 absolute error 4.4986236957811343e-13 relative error 1.8427088075146464e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000049 y[1] (closed_form) 2.459697694131869 y[1] (numeric) 2.4596976941314197 absolute error 4.4941828036826337e-13 relative error 1.8271281118832044e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0100000000000038 y[1] (closed_form) 2.4781392786256515 y[1] (numeric) 2.478139278625204 absolute error 4.476419235288631e-13 relative error 1.8063630538842045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0200000000000027 y[1] (closed_form) 2.4966340487483554 y[1] (numeric) 2.49663404874791 absolute error 4.454214774796128e-13 relative error 1.7840879711742986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0300000000000016 y[1] (closed_form) 2.5151811550300476 y[1] (numeric) 2.5151811550296044 absolute error 4.432010314303625e-13 relative error 1.7621038172300866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y[1] (closed_form) 2.5337797427672224 y[1] (numeric) 2.5337797427667814 absolute error 4.409805853811122e-13 relative error 1.7404061526654368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999994 y[1] (closed_form) 2.552428952108272 y[1] (numeric) 2.5524289521078325 absolute error 4.39648317751562e-13 relative error 1.7224703449176063e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999983 y[1] (closed_form) 2.571127918139469 y[1] (numeric) 2.571127918139031 absolute error 4.3787196091216174e-13 relative error 1.7030345235760056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999972 y[1] (closed_form) 2.5898757709714606 y[1] (numeric) 2.5898757709710245 absolute error 4.360956040727615e-13 relative error 1.6838475766317638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.079999999999996 y[1] (closed_form) 2.6086716358262527 y[1] (numeric) 2.6086716358258184 absolute error 4.3431924723336124e-13 relative error 1.664905775294321e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.089999999999995 y[1] (closed_form) 2.6275146331246897 y[1] (numeric) 2.627514633124258 absolute error 4.3165471197426086e-13 relative error 1.6428251494109815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999939 y[1] (closed_form) 2.646403878574411 y[1] (numeric) 2.6464038785739814 absolute error 4.2943426592501055e-13 relative error 1.6227087233424934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999928 y[1] (closed_form) 2.6653384832582794 y[1] (numeric) 2.6653384832578513 absolute error 4.2810199829546036e-13 relative error 1.60618248295474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999917 y[1] (closed_form) 2.6843175537232717 y[1] (numeric) 2.6843175537228463 absolute error 4.2543746303636e-13 relative error 1.5848999029427748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999906 y[1] (closed_form) 2.703340192069825 y[1] (numeric) 2.7033401920694002 absolute error 4.2454928461665986e-13 relative error 1.570461926553172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999895 y[1] (closed_form) 2.7224054960416217 y[1] (numeric) 2.722405496041199 absolute error 4.227729277772596e-13 relative error 1.5529388564340308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999884 y[1] (closed_form) 2.7415125591158205 y[1] (numeric) 2.7415125591153995 absolute error 4.2099657093785936e-13 relative error 1.5356361200608074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999873 y[1] (closed_form) 2.7606604705937023 y[1] (numeric) 2.760660470593284 absolute error 4.18332035678759e-13 relative error 1.5153331607953705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999862 y[1] (closed_form) 2.7798483156917433 y[1] (numeric) 2.779848315691327 absolute error 4.1611158962950867e-13 relative error 1.4968859533832607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.179999999999985 y[1] (closed_form) 2.7990751756330896 y[1] (numeric) 2.799075175632676 absolute error 4.134470543704083e-13 relative error 1.4770844955133996e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999984 y[1] (closed_form) 2.818340127739436 y[1] (numeric) 2.8183401277390256 absolute error 4.1033842990145786e-13 relative error 1.4559578024764047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999829 y[1] (closed_form) 2.837642245523293 y[1] (numeric) 2.837642245522885 absolute error 4.0811798385220754e-13 relative error 1.4382291654138594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999818 y[1] (closed_form) 2.8569805987806345 y[1] (numeric) 2.856980598780228 absolute error 4.063416270128073e-13 relative error 1.422276466232339e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999807 y[1] (closed_form) 2.8763542536839157 y[1] (numeric) 2.8763542536835116 absolute error 4.04121180963557e-13 relative error 1.4049770832155854e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999796 y[1] (closed_form) 2.8957622728754577 y[1] (numeric) 2.8957622728750563 absolute error 4.014566457044566e-13 relative error 1.3863591271455267e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999785 y[1] (closed_form) 2.915203715561182 y[1] (numeric) 2.9152037155607826 absolute error 3.992361996552063e-13 relative error 1.3694967439980524e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999774 y[1] (closed_form) 2.934677637604687 y[1] (numeric) 2.9346776376042905 absolute error 3.965716643961059e-13 relative error 1.351329561088664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999763 y[1] (closed_form) 2.9541830916216645 y[1] (numeric) 2.9541830916212697 absolute error 3.9479530755670567e-13 relative error 1.3363941750136664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999751 y[1] (closed_form) 2.9737191270746326 y[1] (numeric) 2.9737191270742405 absolute error 3.921307722976053e-13 relative error 1.3186543703048382e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.279999999999974 y[1] (closed_form) 2.9932847903679938 y[1] (numeric) 2.993284790367603 absolute error 3.907985046680551e-13 relative error 1.305584105881253e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999973 y[1] (closed_form) 3.0128791249433893 y[1] (numeric) 3.0128791249430007 absolute error 3.885780586188048e-13 relative error 1.2897233593004034e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999718 y[1] (closed_form) 3.0325011713753574 y[1] (numeric) 3.0325011713749705 absolute error 3.8680170177940454e-13 relative error 1.2755203705460562e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999707 y[1] (closed_form) 3.0521499674672725 y[1] (numeric) 3.0521499674668884 absolute error 3.8413716652030416e-13 relative error 1.2585789381740895e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999696 y[1] (closed_form) 3.0718245483475672 y[1] (numeric) 3.071824548347185 absolute error 3.823608096809039e-13 relative error 1.2447351847832196e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999685 y[1] (closed_form) 3.0915239465662148 y[1] (numeric) 3.091523946565835 absolute error 3.7969627442180354e-13 relative error 1.2281848078308945e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999674 y[1] (closed_form) 3.111247192191476 y[1] (numeric) 3.111247192191099 absolute error 3.7703173916270316e-13 relative error 1.2118347269511956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999663 y[1] (closed_form) 3.1309933129068916 y[1] (numeric) 3.130993312906517 absolute error 3.7481129311345285e-13 relative error 1.1971002670889411e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999652 y[1] (closed_form) 3.1507613341085117 y[1] (numeric) 3.1507613341081386 absolute error 3.730349362740526e-13 relative error 1.1839517396502536e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999641 y[1] (closed_form) 3.170550279002356 y[1] (numeric) 3.1705502790019846 absolute error 3.7125857943465235e-13 relative error 1.1709594447796376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.379999999999963 y[1] (closed_form) 3.1903591687020922 y[1] (numeric) 3.190359168701723 absolute error 3.6903813338540203e-13 relative error 1.1567291137804237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999962 y[1] (closed_form) 3.210187022326925 y[1] (numeric) 3.2101870223265574 absolute error 3.6770586575585185e-13 relative error 1.1454344036607495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999608 y[1] (closed_form) 3.2300328570996815 y[1] (numeric) 3.2300328570993155 absolute error 3.659295089164516e-13 relative error 1.132897171965699e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999597 y[1] (closed_form) 3.249895688445089 y[1] (numeric) 3.2498956884447256 absolute error 3.632649736573512e-13 relative error 1.1177742564136117e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999586 y[1] (closed_form) 3.269774530088232 y[1] (numeric) 3.2697745300878713 absolute error 3.6060043839825084e-13 relative error 1.1028296755021832e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999575 y[1] (closed_form) 3.289668394153179 y[1] (numeric) 3.28966839415282 absolute error 3.588240815588506e-13 relative error 1.0907606438284139e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999564 y[1] (closed_form) 3.3095762912617674 y[1] (numeric) 3.3095762912614113 absolute error 3.561595462997502e-13 relative error 1.0761484702441027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999553 y[1] (closed_form) 3.329497230632544 y[1] (numeric) 3.32949723063219 absolute error 3.539391002504999e-13 relative error 1.0630406807194066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999542 y[1] (closed_form) 3.349430220179839 y[1] (numeric) 3.3494302201794874 absolute error 3.517186542012496e-13 relative error 1.0500850326189657e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999531 y[1] (closed_form) 3.369374266612975 y[1] (numeric) 3.369374266612625 absolute error 3.4994229736184934e-13 relative error 1.0385972874234149e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.479999999999952 y[1] (closed_form) 3.3893283755355945 y[1] (numeric) 3.3893283755352472 absolute error 3.4727776210274897e-13 relative error 1.0246211745354146e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999951 y[1] (closed_form) 3.4092915515451017 y[1] (numeric) 3.409291551544757 absolute error 3.446132268436486e-13 relative error 1.0108059743012263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999498 y[1] (closed_form) 3.429262798332197 y[1] (numeric) 3.4292627983318544 absolute error 3.423927807943983e-13 relative error 9.98444274847991e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999487 y[1] (closed_form) 3.4492411187805114 y[1] (numeric) 3.4492411187801717 absolute error 3.397282455352979e-13 relative error 9.849362043306783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999476 y[1] (closed_form) 3.469225515066316 y[1] (numeric) 3.469225515065979 absolute error 3.3706371027619753e-13 relative error 9.71582011063799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999465 y[1] (closed_form) 3.489214988758302 y[1] (numeric) 3.489214988757967 absolute error 3.348432642269472e-13 relative error 9.596521432636257e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999454 y[1] (closed_form) 3.5092085409174247 y[1] (numeric) 3.509208540917092 absolute error 3.326228181776969e-13 relative error 9.478570860047494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999443 y[1] (closed_form) 3.529205172196796 y[1] (numeric) 3.5292051721964652 absolute error 3.3084646133829665e-13 relative error 9.374531805198429e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999432 y[1] (closed_form) 3.549203882941619 y[1] (numeric) 3.5492038829412897 absolute error 3.290701044988964e-13 relative error 9.27165965529598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999942 y[1] (closed_form) 3.569203673289151 y[1] (numeric) 3.5692036732888237 absolute error 3.2729374765949615e-13 relative error 9.169937544020375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.579999999999941 y[1] (closed_form) 3.5892035432686904 y[1] (numeric) 3.5892035432683653 absolute error 3.2507330161024584e-13 relative error 9.056975947209763e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.58999999999994 y[1] (closed_form) 3.6092024929015722 y[1] (numeric) 3.60920249290125 absolute error 3.2240876635114546e-13 relative error 8.932964193204607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999388 y[1] (closed_form) 3.629199522301166 y[1] (numeric) 3.6291995223008464 absolute error 3.197442310920451e-13 relative error 8.810323850403928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999377 y[1] (closed_form) 3.6491936317728633 y[1] (numeric) 3.6491936317725457 absolute error 3.1752378504279477e-13 relative error 8.701204076379315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999366 y[1] (closed_form) 3.669183821914044 y[1] (numeric) 3.6691838219137276 absolute error 3.161915174132446e-13 relative error 8.617489140903877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999355 y[1] (closed_form) 3.6891690937140194 y[1] (numeric) 3.6891690937137054 absolute error 3.1397107136399427e-13 relative error 8.510617523576516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999344 y[1] (closed_form) 3.709148448653931 y[1] (numeric) 3.7091484486536195 absolute error 3.113065361048939e-13 relative error 8.392938174741123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999333 y[1] (closed_form) 3.7291208888066008 y[1] (numeric) 3.7291208888062917 absolute error 3.090860900556436e-13 relative error 8.288443825551544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999322 y[1] (closed_form) 3.7490854169363237 y[1] (numeric) 3.7490854169360164 absolute error 3.0730973321624333e-13 relative error 8.196925357528145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.669999999999931 y[1] (closed_form) 3.7690410365985905 y[1] (numeric) 3.769041036598286 absolute error 3.0464519795714295e-13 relative error 8.082830486559868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.67999999999993 y[1] (closed_form) 3.788986752239732 y[1] (numeric) 3.788986752239429 absolute error 3.028688411177427e-13 relative error 7.993399315495415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999929 y[1] (closed_form) 3.8089215692964706 y[1] (numeric) 3.8089215692961704 absolute error 3.0020430585864233e-13 relative error 7.881609017065997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999278 y[1] (closed_form) 3.8288444942953808 y[1] (numeric) 3.8288444942950832 absolute error 2.9753977059954195e-13 relative error 7.771006919786069e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999267 y[1] (closed_form) 3.848754534952232 y[1] (numeric) 3.8487545349519365 absolute error 2.9531932455029164e-13 relative error 7.673114039057753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999256 y[1] (closed_form) 3.868650700271216 y[1] (numeric) 3.8686507002709227 absolute error 2.9309887850104133e-13 relative error 7.576255940617573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999245 y[1] (closed_form) 3.8885320006440476 y[1] (numeric) 3.888532000643757 absolute error 2.9043434324194095e-13 relative error 7.46899712266318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999234 y[1] (closed_form) 3.908397447948925 y[1] (numeric) 3.9083974479486363 absolute error 2.886579864025407e-13 relative error 7.385584251520392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999223 y[1] (closed_form) 3.9282460556493377 y[1] (numeric) 3.928246055649052 absolute error 2.8554936193359026e-13 relative error 7.269131258285934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999212 y[1] (closed_form) 3.948076838892724 y[1] (numeric) 3.9480768388924408 absolute error 2.8332891588433995e-13 relative error 7.176377954280197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.76999999999992 y[1] (closed_form) 3.967888814608951 y[1] (numeric) 3.96788881460867 absolute error 2.8066438062523957e-13 relative error 7.073393276341087e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999919 y[1] (closed_form) 3.9876810016086237 y[1] (numeric) 3.9876810016083444 absolute error 2.793321129956894e-13 relative error 7.0048760892109295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999179 y[1] (closed_form) 4.0074524206812026 y[1] (numeric) 4.007452420680925 absolute error 2.7711166694643907e-13 relative error 6.9149084719347595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999168 y[1] (closed_form) 4.027202094692923 y[1] (numeric) 4.027202094692648 absolute error 2.744471316873387e-13 relative error 6.814833853235406e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999157 y[1] (closed_form) 4.046929048684508 y[1] (numeric) 4.046929048684237 absolute error 2.717825964282383e-13 relative error 6.715773693057054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999146 y[1] (closed_form) 4.066632309968666 y[1] (numeric) 4.066632309968395 absolute error 2.708944180085382e-13 relative error 6.661394425664844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999135 y[1] (closed_form) 4.086310908227352 y[1] (numeric) 4.086310908227084 absolute error 2.682298827494378e-13 relative error 6.564108526577982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999124 y[1] (closed_form) 4.105963875608808 y[1] (numeric) 4.105963875608542 absolute error 2.6556534749033744e-13 relative error 6.467795517342709e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999113 y[1] (closed_form) 4.1255902468243395 y[1] (numeric) 4.125590246824075 absolute error 2.646771690706373e-13 relative error 6.415498225359917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999102 y[1] (closed_form) 4.145189059244845 y[1] (numeric) 4.145189059244585 absolute error 2.602362769721367e-13 relative error 6.278031550617515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.869999999999909 y[1] (closed_form) 4.164759352997083 y[1] (numeric) 4.164759352996826 absolute error 2.575717417130363e-13 relative error 6.1845528128217086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999908 y[1] (closed_form) 4.184300171059654 y[1] (numeric) 4.184300171059399 absolute error 2.5490720645393594e-13 relative error 6.091991397198971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999069 y[1] (closed_form) 4.2038105593587005 y[1] (numeric) 4.203810559358447 absolute error 2.531308496145357e-13 relative error 6.021461862761753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999058 y[1] (closed_form) 4.22328956686332 y[1] (numeric) 4.223289566863068 absolute error 2.5224267119483557e-13 relative error 5.972658687057036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999047 y[1] (closed_form) 4.2427362456806605 y[1] (numeric) 4.24273624568041 absolute error 2.504663143554353e-13 relative error 5.9034146798642934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999999036 y[1] (closed_form) 4.262149651150711 y[1] (numeric) 4.262149651150462 absolute error 2.4868995751603507e-13 relative error 5.834848090068654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999999025 y[1] (closed_form) 4.281528841940771 y[1] (numeric) 4.281528841940525 absolute error 2.460254222569347e-13 relative error 5.7462049501321125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999999014 y[1] (closed_form) 4.300872880139577 y[1] (numeric) 4.300872880139333 absolute error 2.4424906541753444e-13 relative error 5.679058001119246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999999003 y[1] (closed_form) 4.320180831351095 y[1] (numeric) 4.320180831350853 absolute error 2.424727085781342e-13 relative error 5.612559243319988e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998992 y[1] (closed_form) 4.3394517647879605 y[1] (numeric) 4.33945176478772 absolute error 2.4069635173873394e-13 relative error 5.546699555271935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.969999999999898 y[1] (closed_form) 4.358684753364557 y[1] (numeric) 4.358684753364317 absolute error 2.398081733190338e-13 relative error 5.501847160061783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999897 y[1] (closed_form) 4.377878873789719 y[1] (numeric) 4.377878873789482 absolute error 2.3714363805993344e-13 relative error 5.416861564619983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998959 y[1] (closed_form) 4.397033206659066 y[1] (numeric) 4.397033206658832 absolute error 2.3447910280083306e-13 relative error 5.332666181500001e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998948 y[1] (closed_form) 4.416146836546941 y[1] (numeric) 4.4161468365467105 absolute error 2.3092638912203256e-13 relative error 5.229137473666925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998936 y[1] (closed_form) 4.43521885209795 y[1] (numeric) 4.43521885209772 absolute error 2.3003821070233244e-13 relative error 5.186625922495788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998925 y[1] (closed_form) 4.454248346118096 y[1] (numeric) 4.454248346117869 absolute error 2.2648549702353193e-13 relative error 5.084707439380101e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998914 y[1] (closed_form) 4.4732344156655035 y[1] (numeric) 4.473234415665279 absolute error 2.2470914018413168e-13 relative error 5.023415258480271e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998903 y[1] (closed_form) 4.492176162140705 y[1] (numeric) 4.492176162140483 absolute error 2.220446049250313e-13 relative error 4.942918463358258e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998892 y[1] (closed_form) 4.511072691376504 y[1] (numeric) 4.511072691376285 absolute error 2.1938006966593093e-13 relative error 4.863146410504627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999888 y[1] (closed_form) 4.529923113727392 y[1] (numeric) 4.529923113727175 absolute error 2.1671553440683056e-13 relative error 4.784088580887829e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999887 y[1] (closed_form) 4.548726544158508 y[1] (numeric) 4.548726544158295 absolute error 2.1316282072803006e-13 relative error 4.686208736855694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999886 y[1] (closed_form) 4.567482102334146 y[1] (numeric) 4.567482102333933 absolute error 2.1227464230832993e-13 relative error 4.64751995853142e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999885 y[1] (closed_form) 4.586188912705784 y[1] (numeric) 4.586188912705573 absolute error 2.1049828546892968e-13 relative error 4.589830237602201e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998837 y[1] (closed_form) 4.604846104599641 y[1] (numeric) 4.604846104599433 absolute error 2.078337502098293e-13 relative error 4.513370164580103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998826 y[1] (closed_form) 4.623452812303741 y[1] (numeric) 4.623452812303536 absolute error 2.0516921495072893e-13 relative error 4.43757562323857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998815 y[1] (closed_form) 4.642008175154487 y[1] (numeric) 4.6420081751542845 absolute error 2.0250467969162855e-13 relative error 4.362436946481447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998804 y[1] (closed_form) 4.660511337622724 y[1] (numeric) 4.6605113376225225 absolute error 2.0161650127192843e-13 relative error 4.326059667409173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998793 y[1] (closed_form) 4.678961449399289 y[1] (numeric) 4.6789614493990905 absolute error 1.9806378759312793e-13 relative error 4.2330715851176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998782 y[1] (closed_form) 4.697357665480047 y[1] (numeric) 4.697357665479851 absolute error 1.9628743075372768e-13 relative error 4.178677561562007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999877 y[1] (closed_form) 4.715699146250388 y[1] (numeric) 4.715699146250195 absolute error 1.9273471707492718e-13 relative error 4.087086794503782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999876 y[1] (closed_form) 4.733985057569184 y[1] (numeric) 4.733985057568993 absolute error 1.9095836023552692e-13 relative error 4.0337761508182836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999875 y[1] (closed_form) 4.7522145708522086 y[1] (numeric) 4.75221457085202 absolute error 1.8829382497642655e-13 relative error 3.9622332318774074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999874 y[1] (closed_form) 4.770386863154993 y[1] (numeric) 4.770386863154805 absolute error 1.8829382497642655e-13 relative error 3.947139516728724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998727 y[1] (closed_form) 4.788501117255116 y[1] (numeric) 4.788501117254929 absolute error 1.865174681370263e-13 relative error 3.895111718047224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998716 y[1] (closed_form) 4.8065565217339286 y[1] (numeric) 4.806556521733745 absolute error 1.8385293287792592e-13 relative error 3.8250446457166054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998705 y[1] (closed_form) 4.824552271057697 y[1] (numeric) 4.824552271057514 absolute error 1.829647544582258e-13 relative error 3.792367543737153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998694 y[1] (closed_form) 4.842487565658152 y[1] (numeric) 4.8424875656579704 absolute error 1.8118839761882555e-13 relative error 3.741638882126895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998683 y[1] (closed_form) 4.860361612012445 y[1] (numeric) 4.860361612012266 absolute error 1.794120407794253e-13 relative error 3.6913311210426436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999867 y[1] (closed_form) 4.878173622722503 y[1] (numeric) 4.878173622722326 absolute error 1.7763568394002505e-13 relative error 3.6414383266843786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999866 y[1] (closed_form) 4.895922816593766 y[1] (numeric) 4.895922816593591 absolute error 1.7497114868092467e-13 relative error 3.573813461435594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999865 y[1] (closed_form) 4.913608418713302 y[1] (numeric) 4.913608418713128 absolute error 1.7408297026122455e-13 relative error 3.5428743079777332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999864 y[1] (closed_form) 4.931229660527306 y[1] (numeric) 4.931229660527134 absolute error 1.7141843500212417e-13 relative error 3.4761803201798974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999863 y[1] (closed_form) 4.948785779917948 y[1] (numeric) 4.9487857799177775 absolute error 1.7053025658242404e-13 relative error 3.445900957653727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998617 y[1] (closed_form) 4.966276021279583 y[1] (numeric) 4.966276021279414 absolute error 1.687538997430238e-13 relative error 3.3979967891422916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998606 y[1] (closed_form) 4.983699635594318 y[1] (numeric) 4.983699635594152 absolute error 1.6608936448392342e-13 relative error 3.332651978014258e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998595 y[1] (closed_form) 5.001055880506909 y[1] (numeric) 5.001055880506746 absolute error 1.6342482922482304e-13 relative error 3.267806501859328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998584 y[1] (closed_form) 5.0183440203989935 y[1] (numeric) 5.018344020398833 absolute error 1.6076029396572267e-13 relative error 3.2034530377401487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998573 y[1] (closed_form) 5.035563326462658 y[1] (numeric) 5.035563326462497 absolute error 1.6076029396572267e-13 relative error 3.192498704581922e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999856 y[1] (closed_form) 5.052713076773308 y[1] (numeric) 5.052713076773148 absolute error 1.6076029396572267e-13 relative error 3.1816628318896176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999855 y[1] (closed_form) 5.0697925563618735 y[1] (numeric) 5.0697925563617146 absolute error 1.5898393712632242e-13 relative error 3.135906161028621e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999854 y[1] (closed_form) 5.086801057286295 y[1] (numeric) 5.086801057286138 absolute error 1.5720758028692217e-13 relative error 3.0904998744100523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999853 y[1] (closed_form) 5.10373787870232 y[1] (numeric) 5.103737878702164 absolute error 1.5631940186722204e-13 relative error 3.062841501314874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999852 y[1] (closed_form) 5.120602326933588 y[1] (numeric) 5.120602326933433 absolute error 1.545430450278218e-13 relative error 3.0180637972011406e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998507 y[1] (closed_form) 5.137393715540995 y[1] (numeric) 5.137393715540843 absolute error 1.5187850976872141e-13 relative error 2.9563338567818486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998496 y[1] (closed_form) 5.1541113653913415 y[1] (numeric) 5.154111365391191 absolute error 1.5010215292932116e-13 relative error 2.9122799700685978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998485 y[1] (closed_form) 5.170754604725239 y[1] (numeric) 5.170754604725091 absolute error 1.4832579608992091e-13 relative error 2.8685522216501043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998474 y[1] (closed_form) 5.187322769224291 y[1] (numeric) 5.187322769224144 absolute error 1.474376176702208e-13 relative error 2.8422680490396496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998463 y[1] (closed_form) 5.2038152020775215 y[1] (numeric) 5.203815202077375 absolute error 1.4654943925052066e-13 relative error 2.8161922274260174e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999845 y[1] (closed_form) 5.220231254047054 y[1] (numeric) 5.220231254046909 absolute error 1.4477308241112041e-13 relative error 2.773307835718641e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999844 y[1] (closed_form) 5.236570283533039 y[1] (numeric) 5.236570283532896 absolute error 1.4299672557172016e-13 relative error 2.730732480023973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999843 y[1] (closed_form) 5.25283165663781 y[1] (numeric) 5.25283165663767 absolute error 1.4033219031261979e-13 relative error 2.671553163811887e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999842 y[1] (closed_form) 5.269014747229276 y[1] (numeric) 5.2690147472291375 absolute error 1.3855583347321954e-13 relative error 2.6296345734480902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999841 y[1] (closed_form) 5.285118937003528 y[1] (numeric) 5.285118937003392 absolute error 1.3589129821411916e-13 relative error 2.5712060567394654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998397 y[1] (closed_form) 5.301143615546677 y[1] (numeric) 5.301143615546543 absolute error 1.341149413747189e-13 relative error 2.529924693634024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998386 y[1] (closed_form) 5.317088180395889 y[1] (numeric) 5.317088180395757 absolute error 1.3233858453531866e-13 relative error 2.4889296555820003e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998375 y[1] (closed_form) 5.332952037099632 y[1] (numeric) 5.332952037099502 absolute error 1.305622276959184e-13 relative error 2.448216799769414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998364 y[1] (closed_form) 5.348734599277124 y[1] (numeric) 5.3487345992769955 absolute error 1.2878587085651816e-13 relative error 2.4077820364077036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998353 y[1] (closed_form) 5.364435288676964 y[1] (numeric) 5.364435288676836 absolute error 1.2878587085651816e-13 relative error 2.4007349129246506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.549999999999834 y[1] (closed_form) 5.380053535234964 y[1] (numeric) 5.380053535234836 absolute error 1.2789769243681803e-13 relative error 2.377256872988204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999833 y[1] (closed_form) 5.395588777131149 y[1] (numeric) 5.395588777131021 absolute error 1.2789769243681803e-13 relative error 2.370412159260618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999832 y[1] (closed_form) 5.411040460845943 y[1] (numeric) 5.4110404608458165 absolute error 1.2612133559741778e-13 relative error 2.3308148684162755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999831 y[1] (closed_form) 5.426408041215517 y[1] (numeric) 5.426408041215393 absolute error 1.234568003383174e-13 relative error 2.2751108910465026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998298 y[1] (closed_form) 5.441690981486307 y[1] (numeric) 5.441690981486183 absolute error 1.234568003383174e-13 relative error 2.2687212625329426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998287 y[1] (closed_form) 5.456888753368688 y[1] (numeric) 5.456888753368569 absolute error 1.1901590823981678e-13 relative error 2.181021340527512e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998276 y[1] (closed_form) 5.472000837089803 y[1] (numeric) 5.472000837089686 absolute error 1.1723955140041653e-13 relative error 2.142535333798825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998265 y[1] (closed_form) 5.487026721445542 y[1] (numeric) 5.487026721445426 absolute error 1.1546319456101628e-13 relative error 2.1042943733031034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998254 y[1] (closed_form) 5.501965903851657 y[1] (numeric) 5.501965903851542 absolute error 1.1457501614131615e-13 relative error 2.082437771217517e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998243 y[1] (closed_form) 5.516817890394021 y[1] (numeric) 5.5168178903939085 absolute error 1.127986593019159e-13 relative error 2.0446326404633162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999823 y[1] (closed_form) 5.531582195878025 y[1] (numeric) 5.531582195877912 absolute error 1.127986593019159e-13 relative error 2.039175326472961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999822 y[1] (closed_form) 5.546258343877092 y[1] (numeric) 5.54625834387698 absolute error 1.1191048088221578e-13 relative error 2.0177653824178907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999821 y[1] (closed_form) 5.560845866780316 y[1] (numeric) 5.560845866780208 absolute error 1.0746958878371515e-13 relative error 1.9326122564504593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.67999999999982 y[1] (closed_form) 5.575344305839232 y[1] (numeric) 5.575344305839125 absolute error 1.0658141036401503e-13 relative error 1.9116561151638472e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998188 y[1] (closed_form) 5.589753211213681 y[1] (numeric) 5.589753211213576 absolute error 1.0480505352461478e-13 relative error 1.874949565114322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998177 y[1] (closed_form) 5.6040721420168005 y[1] (numeric) 5.6040721420166975 absolute error 1.0302869668521453e-13 relative error 1.8384612844783336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998166 y[1] (closed_form) 5.61830066635911 y[1] (numeric) 5.618300666359008 absolute error 1.021405182655144e-13 relative error 1.8179966564819975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998155 y[1] (closed_form) 5.6324383613916975 y[1] (numeric) 5.632438361391597 absolute error 1.0036416142611415e-13 relative error 1.7818954240861955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998144 y[1] (closed_form) 5.6464848133485095 y[1] (numeric) 5.646484813348411 absolute error 9.85878045867139e-14 relative error 1.7460031833194434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998133 y[1] (closed_form) 5.660439617587721 y[1] (numeric) 5.660439617587626 absolute error 9.50350909079134e-14 relative error 1.6789348059226184e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999812 y[1] (closed_form) 5.674302378632204 y[1] (numeric) 5.67430237863211 absolute error 9.414691248821327e-14 relative error 1.6591803926900963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999811 y[1] (closed_form) 5.688072710209074 y[1] (numeric) 5.6880727102089805 absolute error 9.325873406851315e-14 relative error 1.6395489090906026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.76999999999981 y[1] (closed_form) 5.701750235288314 y[1] (numeric) 5.701750235288223 absolute error 9.059419880941277e-14 relative error 1.5888840280782976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999809 y[1] (closed_form) 5.7153345861204805 y[1] (numeric) 5.715334586120392 absolute error 8.881784197001252e-14 relative error 1.5540269888258862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998077 y[1] (closed_form) 5.728825404273477 y[1] (numeric) 5.728825404273391 absolute error 8.615330671091215e-14 relative error 1.5038563864530621e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998066 y[1] (closed_form) 5.7422223406684 y[1] (numeric) 5.742222340668315 absolute error 8.526512829121202e-14 relative error 1.4848802995198386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998055 y[1] (closed_form) 5.755525055614438 y[1] (numeric) 5.755525055614355 absolute error 8.260059303211165e-14 relative error 1.435153043970087e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998044 y[1] (closed_form) 5.76873321884285 y[1] (numeric) 5.768733218842769 absolute error 8.08242361927114e-14 relative error 1.4010742588807727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999998033 y[1] (closed_form) 5.781846509539985 y[1] (numeric) 5.781846509539906 absolute error 7.904787935331115e-14 relative error 1.3671736048835435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999998022 y[1] (closed_form) 5.794864616379369 y[1] (numeric) 5.794864616379291 absolute error 7.815970093361102e-14 relative error 1.3487752709992591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999801 y[1] (closed_form) 5.807787237552834 y[1] (numeric) 5.807787237552756 absolute error 7.72715225139109e-14 relative error 1.3304812892296996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8599999999998 y[1] (closed_form) 5.820614080800697 y[1] (numeric) 5.82061408080062 absolute error 7.638334409421077e-14 relative error 1.3122901301112083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999799 y[1] (closed_form) 5.833344863440988 y[1] (numeric) 5.833344863440913 absolute error 7.549516567451064e-14 relative error 1.2942002820312832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999798 y[1] (closed_form) 5.84597931239772 y[1] (numeric) 5.845979312397648 absolute error 7.194245199571014e-14 relative error 1.2306313134420425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997967 y[1] (closed_form) 5.858517164228193 y[1] (numeric) 5.858517164228122 absolute error 7.105427357601002e-14 relative error 1.212837166542138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997956 y[1] (closed_form) 5.870958165149338 y[1] (numeric) 5.8709581651492675 absolute error 7.016609515630989e-14 relative error 1.1951387351526989e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997945 y[1] (closed_form) 5.883302071063095 y[1] (numeric) 5.883302071063028 absolute error 6.750155989720952e-14 relative error 1.1473413923316058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997934 y[1] (closed_form) 5.895548647580831 y[1] (numeric) 5.895548647580764 absolute error 6.750155989720952e-14 relative error 1.144958068065607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997923 y[1] (closed_form) 5.907697670046762 y[1] (numeric) 5.907697670046696 absolute error 6.572520305780927e-14 relative error 1.1125349794226865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997912 y[1] (closed_form) 5.919748923560434 y[1] (numeric) 5.91974892356037 absolute error 6.394884621840902e-14 relative error 1.0802628125644723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.94999999999979 y[1] (closed_form) 5.9317022029982045 y[1] (numeric) 5.931702202998141 absolute error 6.306066779870889e-14 relative error 1.0631125036390837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999789 y[1] (closed_form) 5.943557313033757 y[1] (numeric) 5.943557313033697 absolute error 6.039613253960852e-14 relative error 1.0161613552066623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999788 y[1] (closed_form) 5.9553140681576355 y[1] (numeric) 5.955314068157576 absolute error 5.950795411990839e-14 relative error 9.992412396533446e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999787 y[1] (closed_form) 5.9669722926957895 y[1] (numeric) 5.966972292695731 absolute error 5.861977570020827e-14 relative error 9.82404020410236e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997857 y[1] (closed_form) 5.978531820827149 y[1] (numeric) 5.978531820827092 absolute error 5.684341886080802e-14 relative error 9.507922775084193e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997846 y[1] (closed_form) 5.9899924966002 y[1] (numeric) 5.989992496600142 absolute error 5.773159728050814e-14 relative error 9.638008280189906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997835 y[1] (closed_form) 6.001354173948581 y[1] (numeric) 6.001354173948526 absolute error 5.5067062021407764e-14 relative error 9.17577273816794e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997824 y[1] (closed_form) 6.012616716705693 y[1] (numeric) 6.01261671670564 absolute error 5.3290705182007514e-14 relative error 8.863146894752579e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997813 y[1] (closed_form) 6.023779998618313 y[1] (numeric) 6.02377999861826 absolute error 5.240252676230739e-14 relative error 8.699276330531173e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.03999999999978 y[1] (closed_form) 6.034843903359217 y[1] (numeric) 6.034843903359166 absolute error 5.1514348342607263e-14 relative error 8.536152577854164e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999779 y[1] (closed_form) 6.04580832453882 y[1] (numeric) 6.045808324538769 absolute error 5.062616992290714e-14 relative error 8.373763640078508e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999778 y[1] (closed_form) 6.056673165715806 y[1] (numeric) 6.056673165715757 absolute error 4.973799150320701e-14 relative error 8.212097655318791e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999777 y[1] (closed_form) 6.067438340406779 y[1] (numeric) 6.0674383404067305 absolute error 4.884981308350689e-14 relative error 8.05114289471821e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999776 y[1] (closed_form) 6.078103772094908 y[1] (numeric) 6.0781037720948605 absolute error 4.707345624410664e-14 relative error 7.744760209627366e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997747 y[1] (closed_form) 6.088669394237577 y[1] (numeric) 6.08866939423753 absolute error 4.707345624410664e-14 relative error 7.73132078556569e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997736 y[1] (closed_form) 6.099135150273044 y[1] (numeric) 6.099135150272999 absolute error 4.529709940470639e-14 relative error 7.4268069633903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997725 y[1] (closed_form) 6.109500993626093 y[1] (numeric) 6.109500993626049 absolute error 4.440892098500626e-14 relative error 7.268829488911959e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997714 y[1] (closed_form) 6.119766887712695 y[1] (numeric) 6.119766887712652 absolute error 4.263256414560601e-14 relative error 6.966370603299275e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997703 y[1] (closed_form) 6.129932805943662 y[1] (numeric) 6.129932805943619 absolute error 4.3520742565306136e-14 relative error 7.099709563391602e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999769 y[1] (closed_form) 6.139998731727308 y[1] (numeric) 6.139998731727268 absolute error 3.9968028886505635e-14 relative error 6.509452303300689e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999768 y[1] (closed_form) 6.149964658471112 y[1] (numeric) 6.149964658471074 absolute error 3.8191672047105385e-14 relative error 6.210063661829217e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999767 y[1] (closed_form) 6.15983058958237 y[1] (numeric) 6.1598305895823335 absolute error 3.6415315207705135e-14 relative error 5.911739726948246e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999766 y[1] (closed_form) 6.169596538467859 y[1] (numeric) 6.169596538467823 absolute error 3.6415315207705135e-14 relative error 5.902381943560351e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999765 y[1] (closed_form) 6.179262528532495 y[1] (numeric) 6.17926252853246 absolute error 3.4638958368304884e-14 relative error 5.605678381256808e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997637 y[1] (closed_form) 6.188828593176994 y[1] (numeric) 6.18882859317696 absolute error 3.375077994860476e-14 relative error 5.453500519599787e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997626 y[1] (closed_form) 6.19829477579453 y[1] (numeric) 6.198294775794496 absolute error 3.375077994860476e-14 relative error 5.445171804414289e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997615 y[1] (closed_form) 6.207661129766395 y[1] (numeric) 6.207661129766362 absolute error 3.2862601528904634e-14 relative error 5.293878135732146e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997604 y[1] (closed_form) 6.216927718456667 y[1] (numeric) 6.216927718456634 absolute error 3.2862601528904634e-14 relative error 5.285987390740112e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997593 y[1] (closed_form) 6.226094615205861 y[1] (numeric) 6.22609461520583 absolute error 3.108624468950438e-14 relative error 4.992896287438854e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999758 y[1] (closed_form) 6.235161903323613 y[1] (numeric) 6.235161903323583 absolute error 3.019806626980426e-14 relative error 4.843188795740391e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999757 y[1] (closed_form) 6.2441296760803295 y[1] (numeric) 6.244129676080301 absolute error 2.842170943040401e-14 relative error 4.551748747192157e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999756 y[1] (closed_form) 6.2529980366978775 y[1] (numeric) 6.25299803669785 absolute error 2.7533531010703882e-14 relative error 4.403252783562997e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999755 y[1] (closed_form) 6.261767098339251 y[1] (numeric) 6.261767098339223 absolute error 2.842170943040401e-14 relative error 4.538927907098625e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999754 y[1] (closed_form) 6.270436984097261 y[1] (numeric) 6.270436984097234 absolute error 2.6645352591003757e-14 relative error 4.249361353695164e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997527 y[1] (closed_form) 6.279007826982222 y[1] (numeric) 6.279007826982196 absolute error 2.6645352591003757e-14 relative error 4.2435609773415236e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997516 y[1] (closed_form) 6.287479769908655 y[1] (numeric) 6.2874797699086304 absolute error 2.4868995751603507e-14 relative error 3.9553202016846893e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997505 y[1] (closed_form) 6.295852965680995 y[1] (numeric) 6.29585296568097 absolute error 2.4868995751603507e-14 relative error 3.950059807172377e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997494 y[1] (closed_form) 6.304127576978308 y[1] (numeric) 6.304127576978285 absolute error 2.3092638912203256e-14 relative error 3.663098284453185e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997483 y[1] (closed_form) 6.312303776338027 y[1] (numeric) 6.312303776338005 absolute error 2.1316282072803006e-14 relative error 3.3769417360279954e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999747 y[1] (closed_form) 6.320381746138696 y[1] (numeric) 6.3203817461386755 absolute error 2.042810365310288e-14 relative error 3.232099653724714e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999746 y[1] (closed_form) 6.328361678581732 y[1] (numeric) 6.328361678581714 absolute error 1.865174681370263e-14 relative error 2.947326300396081e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999745 y[1] (closed_form) 6.3362437756722105 y[1] (numeric) 6.336243775672192 absolute error 1.865174681370263e-14 relative error 2.9436599149349915e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999744 y[1] (closed_form) 6.344028249198654 y[1] (numeric) 6.344028249198637 absolute error 1.7763568394002505e-14 relative error 2.800045601349002e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997428 y[1] (closed_form) 6.3517153207118655 y[1] (numeric) 6.351715320711848 absolute error 1.7763568394002505e-14 relative error 2.796656886696185e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997417 y[1] (closed_form) 6.3593052215027654 y[1] (numeric) 6.3593052215027495 absolute error 1.5987211554602254e-14 relative error 2.513987141322385e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997406 y[1] (closed_form) 6.366798192579267 y[1] (numeric) 6.366798192579251 absolute error 1.5987211554602254e-14 relative error 2.5110284747576773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997395 y[1] (closed_form) 6.3741944846421745 y[1] (numeric) 6.3741944846421585 absolute error 1.5987211554602254e-14 relative error 2.508114804642601e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997384 y[1] (closed_form) 6.38149435806011 y[1] (numeric) 6.3814943580600945 absolute error 1.509903313490213e-14 relative error 2.3660654209983563e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997373 y[1] (closed_form) 6.388698082843481 y[1] (numeric) 6.388698082843466 absolute error 1.509903313490213e-14 relative error 2.363397509024539e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999736 y[1] (closed_form) 6.39580593861748 y[1] (numeric) 6.395805938617467 absolute error 1.3322676295501878e-14 relative error 2.0830332288633688e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999735 y[1] (closed_form) 6.40281821459412 y[1] (numeric) 6.402818214594107 absolute error 1.3322676295501878e-14 relative error 2.0807519203239496e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999734 y[1] (closed_form) 6.409735209543314 y[1] (numeric) 6.4097352095433004 absolute error 1.3322676295501878e-14 relative error 2.078506499873199e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999733 y[1] (closed_form) 6.4165572317629955 y[1] (numeric) 6.416557231762983 absolute error 1.2434497875801753e-14 relative error 1.937876874883774e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997318 y[1] (closed_form) 6.423284599048296 y[1] (numeric) 6.423284599048285 absolute error 1.0658141036401503e-14 relative error 1.6592976493647288e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997307 y[1] (closed_form) 6.429917638659761 y[1] (numeric) 6.4299176386597505 absolute error 1.0658141036401503e-14 relative error 1.6575859342769225e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997295 y[1] (closed_form) 6.436456687290621 y[1] (numeric) 6.436456687290612 absolute error 8.881784197001252e-15 relative error 1.3799182731298662e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997284 y[1] (closed_form) 6.44290209103313 y[1] (numeric) 6.442902091033122 absolute error 7.993605777301127e-15 relative error 1.2406840371555824e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997273 y[1] (closed_form) 6.449254205343951 y[1] (numeric) 6.4492542053439434 absolute error 7.993605777301127e-15 relative error 1.2394620405375714e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997262 y[1] (closed_form) 6.455513395008614 y[1] (numeric) 6.455513395008607 absolute error 7.105427357601002e-15 relative error 1.1006757980077773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999725 y[1] (closed_form) 6.461680034105035 y[1] (numeric) 6.461680034105029 absolute error 5.329070518200751e-15 relative error 8.247190343801736e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999724 y[1] (closed_form) 6.467754505966109 y[1] (numeric) 6.467754505966105 absolute error 4.440892098500626e-15 relative error 6.866203864732611e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999723 y[1] (closed_form) 6.473737203141381 y[1] (numeric) 6.473737203141375 absolute error 6.217248937900877e-15 relative error 9.60380185788814e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999722 y[1] (closed_form) 6.479628527357782 y[1] (numeric) 6.479628527357777 absolute error 5.329070518200751e-15 relative error 8.224345725531588e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997207 y[1] (closed_form) 6.4854288894794685 y[1] (numeric) 6.485428889479465 absolute error 3.552713678800501e-15 relative error 5.4779934208570867e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997196 y[1] (closed_form) 6.49113870946673 y[1] (numeric) 6.4911387094667266 absolute error 3.552713678800501e-15 relative error 5.473174796926145e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997185 y[1] (closed_form) 6.49675841633399 y[1] (numeric) 6.496758416333988 absolute error 1.7763568394002505e-15 relative error 2.7342202457985474e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997174 y[1] (closed_form) 6.502288448106913 y[1] (numeric) 6.502288448106913 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] 3.6199999999997163 y[1] (closed_form) 6.507729251778597 y[1] (numeric) 6.507729251778597 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] 3.6299999999997152 y[1] (closed_form) 6.513081283264874 y[1] (numeric) 6.513081283264875 absolute error 8.881784197001252e-16 relative error 1.363683917138064e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.639999999999714 y[1] (closed_form) 6.518345007358725 y[1] (numeric) 6.518345007358726 absolute error 8.881784197001252e-16 relative error 1.3625827087971534e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999713 y[1] (closed_form) 6.52352089768379 y[1] (numeric) 6.5235208976837935 absolute error 3.552713678800501e-15 relative error 5.4460064350555085e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999712 y[1] (closed_form) 6.52860943664702 y[1] (numeric) 6.528609436647022 absolute error 1.7763568394002505e-15 relative error 2.7208808501072723e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999711 y[1] (closed_form) 6.533611115390423 y[1] (numeric) 6.5336111153904275 absolute error 4.440892098500626e-15 relative error 6.796994831908137e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997097 y[1] (closed_form) 6.538526433741961 y[1] (numeric) 6.538526433741966 absolute error 5.329070518200751e-15 relative error 8.150262252822239e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997086 y[1] (closed_form) 6.54335590016556 y[1] (numeric) 6.543355900165566 absolute error 6.217248937900877e-15 relative error 9.501621236502767e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997075 y[1] (closed_form) 6.548100031710271 y[1] (numeric) 6.548100031710277 absolute error 6.217248937900877e-15 relative error 9.494737263928174e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997064 y[1] (closed_form) 6.5527593539585585 y[1] (numeric) 6.552759353958565 absolute error 6.217248937900877e-15 relative error 9.48798605604981e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997053 y[1] (closed_form) 6.557334400973747 y[1] (numeric) 6.557334400973754 absolute error 7.105427357601002e-15 relative error 1.0835847195082601e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.729999999999704 y[1] (closed_form) 6.561825715246615 y[1] (numeric) 6.561825715246622 absolute error 7.105427357601002e-15 relative error 1.0828430479479684e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999703 y[1] (closed_form) 6.566233847641143 y[1] (numeric) 6.5662338476411515 absolute error 8.881784197001252e-15 relative error 1.3526451239917308e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999702 y[1] (closed_form) 6.570559357339433 y[1] (numeric) 6.570559357339442 absolute error 8.881784197001252e-15 relative error 1.3517546549640617e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999701 y[1] (closed_form) 6.574802811785787 y[1] (numeric) 6.574802811785796 absolute error 8.881784197001252e-15 relative error 1.3508822167381267e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7699999999997 y[1] (closed_form) 6.578964786629962 y[1] (numeric) 6.57896478662997 absolute error 7.993605777301127e-15 relative error 1.215024861289128e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996987 y[1] (closed_form) 6.583045865669609 y[1] (numeric) 6.583045865669619 absolute error 9.769962616701378e-15 relative error 1.4841097595341765e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996976 y[1] (closed_form) 6.5870466407918915 y[1] (numeric) 6.587046640791903 absolute error 1.1546319456101628e-14 relative error 1.7528826021358694e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996965 y[1] (closed_form) 6.590967711914299 y[1] (numeric) 6.590967711914311 absolute error 1.1546319456101628e-14 relative error 1.7518397845023098e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996954 y[1] (closed_form) 6.594809686924652 y[1] (numeric) 6.5948096869246635 absolute error 1.1546319456101628e-14 relative error 1.750819205441849e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996943 y[1] (closed_form) 6.598573181620319 y[1] (numeric) 6.59857318162033 absolute error 1.1546319456101628e-14 relative error 1.7498206261109255e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999693 y[1] (closed_form) 6.602258819646632 y[1] (numeric) 6.602258819646644 absolute error 1.1546319456101628e-14 relative error 1.7488438080831876e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999692 y[1] (closed_form) 6.605867232434527 y[1] (numeric) 6.605867232434538 absolute error 1.1546319456101628e-14 relative error 1.7478885133218682e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999691 y[1] (closed_form) 6.609399059137401 y[1] (numeric) 6.609399059137413 absolute error 1.2434497875801753e-14 relative error 1.8813356198565793e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.85999999999969 y[1] (closed_form) 6.6128549465671895 y[1] (numeric) 6.612854946567203 absolute error 1.3322676295501878e-14 relative error 2.014663319118747e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999689 y[1] (closed_form) 6.616235549129699 y[1] (numeric) 6.616235549129714 absolute error 1.509903313490213e-14 relative error 2.2821184377101354e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996877 y[1] (closed_form) 6.619541528759156 y[1] (numeric) 6.6195415287591715 absolute error 1.509903313490213e-14 relative error 2.280978685503083e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996866 y[1] (closed_form) 6.622773554852021 y[1] (numeric) 6.622773554852034 absolute error 1.3322676295501878e-14 relative error 2.011646055109544e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996855 y[1] (closed_form) 6.625932304200042 y[1] (numeric) 6.625932304200056 absolute error 1.4210854715202004e-14 relative error 2.144732856113552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996844 y[1] (closed_form) 6.629018460922585 y[1] (numeric) 6.629018460922597 absolute error 1.2434497875801753e-14 relative error 1.8757675739028187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996833 y[1] (closed_form) 6.632032716398216 y[1] (numeric) 6.6320327163982284 absolute error 1.2434497875801753e-14 relative error 1.874915038500412e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999682 y[1] (closed_form) 6.634975769195565 y[1] (numeric) 6.634975769195577 absolute error 1.2434497875801753e-14 relative error 1.874083389050467e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999681 y[1] (closed_form) 6.637848325003473 y[1] (numeric) 6.637848325003486 absolute error 1.3322676295501878e-14 relative error 2.007077541274628e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.94999999999968 y[1] (closed_form) 6.640651096560418 y[1] (numeric) 6.6406510965604335 absolute error 1.509903313490213e-14 relative error 2.2737278190572008e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999679 y[1] (closed_form) 6.643384803583249 y[1] (numeric) 6.643384803583263 absolute error 1.4210854715202004e-14 relative error 2.13909853716995e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999678 y[1] (closed_form) 6.646050172695206 y[1] (numeric) 6.64605017269522 absolute error 1.3322676295501878e-14 relative error 2.00460061981432e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996767 y[1] (closed_form) 6.648647937353268 y[1] (numeric) 6.6486479373532825 absolute error 1.4210854715202004e-14 relative error 2.1374052061567185e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996756 y[1] (closed_form) 6.651178837774799 y[1] (numeric) 6.651178837774813 absolute error 1.4210854715202004e-14 relative error 2.1365918827039616e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996745 y[1] (closed_form) 6.653643620863533 y[1] (numeric) 6.653643620863548 absolute error 1.509903313490213e-14 relative error 2.269287926326076e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999677 y[1] (closed_form) 6.6560430401348825 y[1] (numeric) 6.656043040134898 absolute error 1.509903313490213e-14 relative error 2.2684698767506996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999681 y[1] (closed_form) 6.658377855640586 y[1] (numeric) 6.658377855640602 absolute error 1.5987211554602254e-14 relative error 2.401067031823499e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.029999999999684 y[1] (closed_form) 6.660648833892704 y[1] (numeric) 6.660648833892719 absolute error 1.4210854715202004e-14 relative error 2.13355411306029e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999687 y[1] (closed_form) 6.662856747786973 y[1] (numeric) 6.662856747786987 absolute error 1.3322676295501878e-14 relative error 1.9995441594818803e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999691 y[1] (closed_form) 6.665002376525509 y[1] (numeric) 6.665002376525521 absolute error 1.2434497875801753e-14 relative error 1.8656404264155574e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.059999999999694 y[1] (closed_form) 6.667086505538892 y[1] (numeric) 6.6670865055389035 absolute error 1.1546319456101628e-14 relative error 1.7318388544245166e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999697 y[1] (closed_form) 6.669109926407625 y[1] (numeric) 6.669109926407636 absolute error 1.0658141036401503e-14 relative error 1.5981354564570215e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999701 y[1] (closed_form) 6.671073436782974 y[1] (numeric) 6.671073436782984 absolute error 9.769962616701378e-15 relative error 1.4645263178833774e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.089999999999704 y[1] (closed_form) 6.672977840307203 y[1] (numeric) 6.672977840307214 absolute error 1.1546319456101628e-14 relative error 1.7303098755038083e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999707 y[1] (closed_form) 6.674823946533216 y[1] (numeric) 6.674823946533226 absolute error 9.769962616701378e-15 relative error 1.4637034167434066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999711 y[1] (closed_form) 6.676612570843593 y[1] (numeric) 6.676612570843604 absolute error 1.0658141036401503e-14 relative error 1.59633959935687e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999714 y[1] (closed_form) 6.678344534369062 y[1] (numeric) 6.6783445343690735 absolute error 1.1546319456101628e-14 relative error 1.7289194046039837e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1299999999997175 y[1] (closed_form) 6.680020663906379 y[1] (numeric) 6.68002066390639 absolute error 1.1546319456101628e-14 relative error 1.7284855896462915e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999721 y[1] (closed_form) 6.681641791835654 y[1] (numeric) 6.6816417918356645 absolute error 1.0658141036401503e-14 relative error 1.5951380466736127e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999724 y[1] (closed_form) 6.6832087560371125 y[1] (numeric) 6.683208756037123 absolute error 1.0658141036401503e-14 relative error 1.5947640460540355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1599999999997275 y[1] (closed_form) 6.684722399807306 y[1] (numeric) 6.684722399807316 absolute error 9.769962616701378e-15 relative error 1.4615360268338153e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999731 y[1] (closed_form) 6.6861835717747855 y[1] (numeric) 6.686183571774794 absolute error 8.881784197001252e-15 relative error 1.3283787532389968e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999734 y[1] (closed_form) 6.687593125815241 y[1] (numeric) 6.687593125815247 absolute error 6.217248937900877e-15 relative error 9.296691381988004e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1899999999997375 y[1] (closed_form) 6.6889519209661055 y[1] (numeric) 6.688951920966112 absolute error 6.217248937900877e-15 relative error 9.294802850074756e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999741 y[1] (closed_form) 6.690260821340667 y[1] (numeric) 6.690260821340672 absolute error 5.329070518200751e-15 relative error 7.965415191590175e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999744 y[1] (closed_form) 6.691520696041643 y[1] (numeric) 6.691520696041647 absolute error 4.440892098500626e-15 relative error 6.6365962241253e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2199999999997475 y[1] (closed_form) 6.69273241907428 y[1] (numeric) 6.692732419074285 absolute error 5.329070518200751e-15 relative error 7.962473597499441e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999751 y[1] (closed_form) 6.6938968692589516 y[1] (numeric) 6.693896869258957 absolute error 5.329070518200751e-15 relative error 7.961088469519111e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999754 y[1] (closed_form) 6.695014930143278 y[1] (numeric) 6.695014930143282 absolute error 3.552713678800501e-15 relative error 5.306505983735678e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2499999999997575 y[1] (closed_form) 6.696087489913767 y[1] (numeric) 6.69608748991377 absolute error 3.552713678800501e-15 relative error 5.305656003079275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999761 y[1] (closed_form) 6.6971154413070035 y[1] (numeric) 6.697115441307006 absolute error 2.6645352591003757e-15 relative error 3.9786312218329734e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999764 y[1] (closed_form) 6.698099681520371 y[1] (numeric) 6.698099681520374 absolute error 3.552713678800501e-15 relative error 5.304062118696458e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2799999999997675 y[1] (closed_form) 6.699041112122334 y[1] (numeric) 6.6990411121223365 absolute error 2.6645352591003757e-15 relative error 3.977487545611166e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999771 y[1] (closed_form) 6.6999406389622855 y[1] (numeric) 6.699940638962287 absolute error 1.7763568394002505e-15 relative error 2.6513023549345654e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999774 y[1] (closed_form) 6.7007991720799565 y[1] (numeric) 6.7007991720799565 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] 4.309999999999778 y[1] (closed_form) 6.701617625614418 y[1] (numeric) 6.701617625614417 absolute error 8.881784197001252e-16 relative error 1.3253194516878979e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999781 y[1] (closed_form) 6.702396917712663 y[1] (numeric) 6.7023969177126625 absolute error 8.881784197001252e-16 relative error 1.3251653559234971e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999784 y[1] (closed_form) 6.703137970437802 y[1] (numeric) 6.703137970437799 absolute error 2.6645352591003757e-15 relative error 3.97505656433079e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999788 y[1] (closed_form) 6.703841709676844 y[1] (numeric) 6.70384170967684 absolute error 4.440892098500626e-15 relative error 6.624398801198273e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999791 y[1] (closed_form) 6.704509065048118 y[1] (numeric) 6.704509065048114 absolute error 3.552713678800501e-15 relative error 5.2989915358925735e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999794 y[1] (closed_form) 6.70514096980831 y[1] (numeric) 6.705140969808307 absolute error 3.552713678800501e-15 relative error 5.2984921492292917e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999798 y[1] (closed_form) 6.705738360759139 y[1] (numeric) 6.705738360759134 absolute error 5.329070518200751e-15 relative error 7.947030187437049e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999801 y[1] (closed_form) 6.706302178153672 y[1] (numeric) 6.706302178153666 absolute error 6.217248937900877e-15 relative error 9.270755735036923e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999804 y[1] (closed_form) 6.706833365602308 y[1] (numeric) 6.706833365602301 absolute error 7.105427357601002e-15 relative error 1.0594310265770109e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999808 y[1] (closed_form) 6.70733286997841 y[1] (numeric) 6.707332869978403 absolute error 7.105427357601002e-15 relative error 1.0593521292799463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999811 y[1] (closed_form) 6.707801641323625 y[1] (numeric) 6.707801641323617 absolute error 7.993605777301127e-15 relative error 1.1916878591126286e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999814 y[1] (closed_form) 6.708240632752874 y[1] (numeric) 6.708240632752866 absolute error 7.993605777301127e-15 relative error 1.1916098743197253e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999818 y[1] (closed_form) 6.708650800359047 y[1] (numeric) 6.70865080035904 absolute error 7.105427357601002e-15 relative error 1.0591440170385257e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999821 y[1] (closed_form) 6.709033103117393 y[1] (numeric) 6.7090331031173855 absolute error 7.105427357601002e-15 relative error 1.0590836635311014e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999824 y[1] (closed_form) 6.70938850278962 y[1] (numeric) 6.709388502789612 absolute error 7.993605777301127e-15 relative error 1.1914060087558734e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999828 y[1] (closed_form) 6.709717963827725 y[1] (numeric) 6.709717963827718 absolute error 7.105427357601002e-15 relative error 1.0589755628934863e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999831 y[1] (closed_form) 6.710022453277545 y[1] (numeric) 6.710022453277536 absolute error 8.881784197001252e-15 relative error 1.3236593854708936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999834 y[1] (closed_form) 6.7103029406820545 y[1] (numeric) 6.7103029406820465 absolute error 7.993605777301127e-15 relative error 1.191243651436195e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999838 y[1] (closed_form) 6.710560397984414 y[1] (numeric) 6.710560397984407 absolute error 7.105427357601002e-15 relative error 1.0588426206155882e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999841 y[1] (closed_form) 6.710795799430777 y[1] (numeric) 6.710795799430769 absolute error 7.993605777301127e-15 relative error 1.1911561633240517e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999844 y[1] (closed_form) 6.711010121472857 y[1] (numeric) 6.71101012147285 absolute error 6.217248937900877e-15 relative error 9.264252065434801e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999848 y[1] (closed_form) 6.711204342670298 y[1] (numeric) 6.711204342670292 absolute error 6.217248937900877e-15 relative error 9.263983959438071e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999851 y[1] (closed_form) 6.71137944359281 y[1] (numeric) 6.711379443592804 absolute error 5.329070518200751e-15 relative error 7.940350509146499e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999854 y[1] (closed_form) 6.711536406722109 y[1] (numeric) 6.711536406722105 absolute error 4.440892098500626e-15 relative error 6.616804006386284e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999858 y[1] (closed_form) 6.711676216353684 y[1] (numeric) 6.71167621635368 absolute error 4.440892098500626e-15 relative error 6.616666173019401e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999861 y[1] (closed_form) 6.711799858498353 y[1] (numeric) 6.711799858498348 absolute error 5.329070518200751e-15 relative error 7.93985314006821e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999864 y[1] (closed_form) 6.711908320783673 y[1] (numeric) 6.7119083207836665 absolute error 6.217248937900877e-15 relative error 9.26301230701995e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999868 y[1] (closed_form) 6.712002592355169 y[1] (numeric) 6.712002592355163 absolute error 6.217248937900877e-15 relative error 9.262882205948778e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999871 y[1] (closed_form) 6.712083663777433 y[1] (numeric) 6.712083663777426 absolute error 7.105427357601002e-15 relative error 1.0586023228444388e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999874 y[1] (closed_form) 6.7121525269350535 y[1] (numeric) 6.712152526935047 absolute error 6.217248937900877e-15 relative error 9.262675293732989e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999878 y[1] (closed_form) 6.712210174933442 y[1] (numeric) 6.712210174933435 absolute error 7.105427357601002e-15 relative error 1.0585823703995472e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999881 y[1] (closed_form) 6.712257601999511 y[1] (numeric) 6.712257601999503 absolute error 7.993605777301127e-15 relative error 1.1908967520733884e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999884 y[1] (closed_form) 6.712295803382261 y[1] (numeric) 6.712295803382253 absolute error 7.993605777301127e-15 relative error 1.1908899743770567e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999888 y[1] (closed_form) 6.7123257752532535 y[1] (numeric) 6.7123257752532455 absolute error 7.993605777301127e-15 relative error 1.1908846568162183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999891 y[1] (closed_form) 6.712348514606992 y[1] (numeric) 6.712348514606983 absolute error 8.881784197001252e-15 relative error 1.3232006916317396e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6599999999998944 y[1] (closed_form) 6.712365019161226 y[1] (numeric) 6.7123650191612185 absolute error 7.105427357601002e-15 relative error 1.0585579504865623e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999898 y[1] (closed_form) 6.7123762872571815 y[1] (numeric) 6.712376287257174 absolute error 7.105427357601002e-15 relative error 1.0585561734806183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999901 y[1] (closed_form) 6.712383317759724 y[1] (numeric) 6.712383317759715 absolute error 8.881784197001252e-15 relative error 1.3231938309455146e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999045 y[1] (closed_form) 6.7123871099574774 y[1] (numeric) 6.7123871099574695 absolute error 7.993605777301127e-15 relative error 1.1908737750602954e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999908 y[1] (closed_form) 6.712388663462891 y[1] (numeric) 6.7123886634628835 absolute error 7.105427357601002e-15 relative error 1.0585542217299652e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999911 y[1] (closed_form) 6.712388978112282 y[1] (numeric) 6.712388978112274 absolute error 7.993605777301127e-15 relative error 1.190873443622923e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7199999999999145 y[1] (closed_form) 6.712389053865852 y[1] (numeric) 6.712389053865843 absolute error 8.881784197001252e-15 relative error 1.3231927002035118e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999918 y[1] (closed_form) 6.712389890707693 y[1] (numeric) 6.712389890707684 absolute error 8.881784197001252e-15 relative error 1.3231925352394625e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999921 y[1] (closed_form) 6.712392488545788 y[1] (numeric) 6.71239248854578 absolute error 7.993605777301127e-15 relative error 1.1908728208223278e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7499999999999245 y[1] (closed_form) 6.712397847112023 y[1] (numeric) 6.712397847112017 absolute error 6.217248937900877e-15 relative error 9.262336767740634e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999928 y[1] (closed_form) 6.712406965862212 y[1] (numeric) 6.712406965862205 absolute error 7.105427357601002e-15 relative error 1.0585513354207519e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999931 y[1] (closed_form) 6.712420843876154 y[1] (numeric) 6.712420843876146 absolute error 7.993605777301127e-15 relative error 1.1908677902092236e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7799999999999345 y[1] (closed_form) 6.712440479757725 y[1] (numeric) 6.712440479757718 absolute error 7.105427357601002e-15 relative error 1.0585460502820668e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999938 y[1] (closed_form) 6.712466871535021 y[1] (numeric) 6.712466871535014 absolute error 7.105427357601002e-15 relative error 1.058541888338008e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999941 y[1] (closed_form) 6.712501016560553 y[1] (numeric) 6.712501016560545 absolute error 7.993605777301127e-15 relative error 1.1908535667376338e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8099999999999445 y[1] (closed_form) 6.7125439114115135 y[1] (numeric) 6.7125439114115055 absolute error 7.993605777301127e-15 relative error 1.190845956882572e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999948 y[1] (closed_form) 6.71259655179012 y[1] (numeric) 6.712596551790112 absolute error 7.993605777301127e-15 relative error 1.1908366182337275e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999951 y[1] (closed_form) 6.712659932424044 y[1] (numeric) 6.712659932424036 absolute error 7.993605777301127e-15 relative error 1.190825374407804e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999955 y[1] (closed_form) 6.712735046966944 y[1] (numeric) 6.712735046966935 absolute error 8.881784197001252e-15 relative error 1.3231244991584113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999958 y[1] (closed_form) 6.712822887899092 y[1] (numeric) 6.712822887899084 absolute error 7.993605777301127e-15 relative error 1.1907964668203663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999961 y[1] (closed_form) 6.712924446428136 y[1] (numeric) 6.712924446428128 absolute error 7.993605777301127e-15 relative error 1.1907784514920953e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999965 y[1] (closed_form) 6.713040712389976 y[1] (numeric) 6.713040712389967 absolute error 8.881784197001252e-15 relative error 1.3230642532241043e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999968 y[1] (closed_form) 6.713172674149778 y[1] (numeric) 6.71317267414977 absolute error 7.993605777301127e-15 relative error 1.1907344210110783e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999971 y[1] (closed_form) 6.713321318503142 y[1] (numeric) 6.713321318503135 absolute error 7.105427357601002e-15 relative error 1.0584071610004938e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999975 y[1] (closed_form) 6.713487630577424 y[1] (numeric) 6.713487630577417 absolute error 7.105427357601002e-15 relative error 1.0583809412619515e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999978 y[1] (closed_form) 6.7136725937332224 y[1] (numeric) 6.713672593733215 absolute error 7.105427357601002e-15 relative error 1.0583517826343598e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999981 y[1] (closed_form) 6.713877189466041 y[1] (numeric) 6.713877189466035 absolute error 6.217248937900877e-15 relative error 9.260295895277373e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999985 y[1] (closed_form) 6.714102397308145 y[1] (numeric) 6.714102397308139 absolute error 6.217248937900877e-15 relative error 9.259985281716183e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999988 y[1] (closed_form) 6.714349194730604 y[1] (numeric) 6.714349194730597 absolute error 7.105427357601002e-15 relative error 1.0582451331511494e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999991 y[1] (closed_form) 6.714618557045549 y[1] (numeric) 6.714618557045542 absolute error 7.105427357601002e-15 relative error 1.0582026807979111e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999995 y[1] (closed_form) 6.714911457308638 y[1] (numeric) 6.71491145730863 absolute error 7.993605777301127e-15 relative error 1.1904260879867201e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999998 y[1] (closed_form) 6.715228866221757 y[1] (numeric) 6.715228866221748 absolute error 8.881784197001252e-15 relative error 1.3226331334256492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.980000000000001 y[1] (closed_form) 6.715571752035945 y[1] (numeric) 6.715571752035936 absolute error 8.881784197001252e-15 relative error 1.3225656019993504e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000005 y[1] (closed_form) 6.715941080454573 y[1] (numeric) 6.715941080454564 absolute error 8.881784197001252e-15 relative error 1.3224928704109602e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) + 1.0 ; Iterations 10000 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.01000000000008%