##############ECHO OF PROBLEM################# ##############temp/addpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=40 # Digits:=32; ELIMINATED in preodein.rb ! #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(cos(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) 1.4326756290735476 y[1] (numeric) 1.4326756290735476 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.989999999999997 y[1] (closed_form) 1.4518821609091521 y[1] (numeric) 1.4518821609091455 absolute error 6.661338147750939e-15 relative error 4.588070800167201e-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) 1.471143504071902 y[1] (numeric) 1.4711435040718892 absolute error 1.2878587085651816e-14 relative error 8.754133808160686e-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) 1.490457732443533 y[1] (numeric) 1.4904577324435135 absolute error 1.9539925233402755e-14 relative error 1.3110016344688955e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.959999999999987 y[1] (closed_form) 1.5098229146173026 y[1] (numeric) 1.509822914617276 absolute error 2.6645352591003757e-14 relative error 1.7647998538793935e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.949999999999983 y[1] (closed_form) 1.5292371140911305 y[1] (numeric) 1.5292371140910976 absolute error 3.2862601528904634e-14 relative error 2.1489539605135612e-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) 1.5486983894612485 y[1] (numeric) 1.548698389461209 absolute error 3.952393967665557e-14 relative error 2.5520746935369975e-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) 1.5682047946163369 y[1] (numeric) 1.5682047946162907 absolute error 4.618527782440651e-14 relative error 2.9451050005051025e-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) 1.5877543789321353 y[1] (numeric) 1.5877543789320832 absolute error 5.218048215738236e-14 relative error 3.286432892251068e-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) 1.6073451874665041 y[1] (numeric) 1.6073451874664453 absolute error 5.88418203051333e-14 relative error 3.660807943680083e-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) 1.6269752611549149 y[1] (numeric) 1.6269752611548491 absolute error 6.572520305780927e-14 relative error 4.0397174208508845e-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) 1.646642637006357 y[1] (numeric) 1.6466426370062848 absolute error 7.216449660063518e-14 relative error 4.3825232615033145e-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) 1.6663453482996355 y[1] (numeric) 1.6663453482995567 absolute error 7.882583474838611e-14 relative error 4.73046207551281e-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) 1.6860814247800393 y[1] (numeric) 1.686081424779954 absolute error 8.526512829121202e-14 relative error 5.056999444871734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.859999999999953 y[1] (closed_form) 1.705848892856367 y[1] (numeric) 1.7058488928562752 absolute error 9.192646643896296e-14 relative error 5.388898560940895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.84999999999995 y[1] (closed_form) 1.725645775798284 y[1] (numeric) 1.7256457757981856 absolute error 9.836575998178887e-14 relative error 5.700228943931721e-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) 1.7454700939339935 y[1] (numeric) 1.7454700939338883 absolute error 1.0524914273446484e-13 relative error 6.029845088737735e-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) 1.7653198648482018 y[1] (numeric) 1.7653198648480903 absolute error 1.1146639167236572e-13 relative error 6.314231992282634e-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) 1.7851931035803594 y[1] (numeric) 1.7851931035802413 absolute error 1.1812772982011666e-13 relative error 6.617084145306256e-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) 1.805087822823154 y[1] (numeric) 1.8050878228230285 absolute error 1.254552017826427e-13 relative error 6.9500885328909366e-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) 1.82500203312124 y[1] (numeric) 1.8250020331211076 absolute error 1.3233858453531866e-13 relative error 7.251421211240209e-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) 1.8449337430701824 y[1] (numeric) 1.8449337430700437 absolute error 1.3877787807814457e-13 relative error 7.522106341185033e-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) 1.8648809595155966 y[1] (numeric) 1.8648809595154512 absolute error 1.454392162258955e-13 relative error 7.798847185595878e-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) 1.8848416877524605 y[1] (numeric) 1.8848416877523084 absolute error 1.5210055437364645e-13 relative error 8.069672660679292e-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) 1.904813931724584 y[1] (numeric) 1.9048139317244255 absolute error 1.5853984791647235e-13 relative error 8.32311467676705e-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) 1.9247956942242137 y[1] (numeric) 1.9247956942240485 absolute error 1.652011860642233e-13 relative error 8.582790711759535e-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) 1.944784977091751 y[1] (numeric) 1.9447849770915788 absolute error 1.7208456881689926e-13 relative error 8.848513889398513e-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) 1.9647797814155665 y[1] (numeric) 1.964779781415388 absolute error 1.7852386235972517e-13 relative error 9.086202130556531e-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) 1.984778107731891 y[1] (numeric) 1.984778107731705 absolute error 1.858513343222512e-13 relative error 9.36383435499665e-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) 2.004777956224757 y[1] (numeric) 2.004777956224565 absolute error 1.9184653865522705e-13 relative error 9.56946568868393e-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) 2.0247773269259817 y[1] (numeric) 2.0247773269257836 absolute error 1.9806378759312793e-13 relative error 9.782003431154007e-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) 2.044774219915162 y[1] (numeric) 2.044774219914957 absolute error 2.0516921495072893e-13 relative error 1.00338322418424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.679999999999893 y[1] (closed_form) 2.0647666355196623 y[1] (numeric) 2.06476663551945 absolute error 2.1227464230832993e-13 relative error 1.0280805523327553e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.66999999999989 y[1] (closed_form) 2.0847525745145834 y[1] (numeric) 2.084752574514364 absolute error 2.1938006966593093e-13 relative error 1.0523074649134883e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6599999999998865 y[1] (closed_form) 2.1047300383226792 y[1] (numeric) 2.104730038322454 absolute error 2.2515322939398175e-13 relative error 1.0697487340153749e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.649999999999883 y[1] (closed_form) 2.124697029214217 y[1] (numeric) 2.1246970292139853 absolute error 2.318145675417327e-13 relative error 1.0910476381070921e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.63999999999988 y[1] (closed_form) 2.1446515505067483 y[1] (numeric) 2.1446515505065094 absolute error 2.389199948993337e-13 relative error 1.1140271007795209e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.629999999999876 y[1] (closed_form) 2.1645916067647706 y[1] (numeric) 2.1645916067645254 absolute error 2.4513724383723456e-13 relative error 1.1324872695206473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.619999999999873 y[1] (closed_form) 2.1845152039992763 y[1] (numeric) 2.1845152039990245 absolute error 2.517985819849855e-13 relative error 1.1526520004255778e-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) 2.204420349867144 y[1] (numeric) 2.204420349866886 absolute error 2.580158309228864e-13 relative error 1.170447509879123e-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) 2.224305053870374 y[1] (numeric) 2.2243050538701103 absolute error 2.637889906509372e-13 relative error 1.1859389079386142e-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) 2.2441673275551386 y[1] (numeric) 2.2441673275548673 absolute error 2.7133850721838826e-13 relative error 1.2090832260444339e-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) 2.2640051847106184 y[1] (numeric) 2.264005184710341 absolute error 2.7755575615628914e-13 relative error 1.225950179048578e-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) 2.2838166415676318 y[1] (numeric) 2.2838166415673467 absolute error 2.851052727237402e-13 relative error 1.2483719907043038e-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) 2.3035997169970006 y[1] (numeric) 2.3035997169967093 absolute error 2.913225216616411e-13 relative error 1.2646403778926163e-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) 2.3233524327076696 y[1] (numeric) 2.323352432707371 absolute error 2.984279490192421e-13 relative error 1.2844712873433915e-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) 2.3430728134445262 y[1] (numeric) 2.343072813444222 absolute error 3.042011087472929e-13 relative error 1.298299852235877e-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) 2.362758887185932 y[1] (numeric) 2.3627588871856218 absolute error 3.1041835768519377e-13 relative error 1.3137961700988665e-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) 2.382408685340917 y[1] (numeric) 2.3824086853406006 absolute error 3.1663560662309465e-13 relative error 1.3290566331938334e-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) 2.4020202429460404 y[1] (numeric) 2.4020202429457176 absolute error 3.228528555609955e-13 relative error 1.3440888206879619e-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) 2.4215915988618857 y[1] (numeric) 2.421591598861556 absolute error 3.2951419370874646e-13 relative error 1.3607339646520642e-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) 2.4411207959691694 y[1] (numeric) 2.441120795968833 absolute error 3.3661962106634746e-13 relative error 1.3789551980474746e-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) 2.4606058813644562 y[1] (numeric) 2.4606058813641125 absolute error 3.4372504842394846e-13 relative error 1.396912244367009e-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) 2.4800449065554426 y[1] (numeric) 2.4800449065550922 absolute error 3.503863865716994e-13 relative error 1.4128227502878337e-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) 2.49943592765581 y[1] (numeric) 2.4994359276554534 absolute error 3.566036355096003e-13 relative error 1.4267364550691019e-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) 2.518777005579607 y[1] (numeric) 2.5187770055792438 absolute error 3.632649736573512e-13 relative error 1.4422276082902333e-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) 2.5380662062351593 y[1] (numeric) 2.538066206234789 absolute error 3.703704010149522e-13 relative error 1.4592621741114514e-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) 2.557301600718474 y[1] (numeric) 2.557301600718098 absolute error 3.7569947153315297e-13 relative error 1.469124609422683e-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) 2.5764812655061338 y[1] (numeric) 2.576481265505751 absolute error 3.82804898890754e-13 relative error 1.4857662813843684e-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) 2.5956032826476427 y[1] (numeric) 2.5956032826472533 absolute error 3.894662370385049e-13 relative error 1.500484452466982e-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) 2.6146657399572204 y[1] (numeric) 2.614665739956825 absolute error 3.9523939676655573e-13 relative error 1.5116249497078064e-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) 2.6336667312050226 y[1] (numeric) 2.6336667312046202 absolute error 4.0234482412415673e-13 relative error 1.5276983202049474e-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) 2.6526043563077586 y[1] (numeric) 2.6526043563073505 absolute error 4.0811798385220754e-13 relative error 1.5385558079241017e-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) 2.6714767215186983 y[1] (numeric) 2.671476721518285 absolute error 4.134470543704083e-13 relative error 1.547634875647987e-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) 2.690281939617048 y[1] (numeric) 2.6902819396166286 absolute error 4.192202140984591e-13 relative error 1.558276134278081e-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) 2.709018130096669 y[1] (numeric) 2.7090181300962435 absolute error 4.2543746303636e-13 relative error 1.5704489324372985e-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) 2.7276834193541273 y[1] (numeric) 2.7276834193536943 absolute error 4.3298697960381105e-13 relative error 1.5873798862858345e-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) 2.7462759408760506 y[1] (numeric) 2.746275940875612 absolute error 4.3876013933186186e-13 relative error 1.5976549654070785e-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) 2.764793835425781 y[1] (numeric) 2.7647938354253365 absolute error 4.445332990599127e-13 relative error 1.6078352510918923e-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) 2.7832352512292946 y[1] (numeric) 2.7832352512288434 absolute error 4.511946372076636e-13 relative error 1.621115703418821e-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) 2.8015983441603787 y[1] (numeric) 2.801598344159922 absolute error 4.565237077258644e-13 relative error 1.6295116274516562e-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) 2.8198812779250435 y[1] (numeric) 2.819881277924581 absolute error 4.622968674539152e-13 relative error 1.639419613417511e-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) 2.8380822242451487 y[1] (numeric) 2.83808222424468 absolute error 4.685141163918161e-13 relative error 1.6508123421844407e-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) 2.8561993630412275 y[1] (numeric) 2.856199363040753 absolute error 4.742872761198669e-13 relative error 1.6605538193764413e-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) 2.8742308826144995 y[1] (numeric) 2.874230882614019 absolute error 4.805045250577678e-13 relative error 1.671767316829761e-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) 2.8921749798280336 y[1] (numeric) 2.8921749798275473 absolute error 4.862776847858186e-13 relative error 1.6813563777345598e-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) 2.910029860287062 y[1] (numeric) 2.910029860286569 absolute error 4.929390229335695e-13 relative error 1.693931150537896e-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) 2.9277937385184165 y[1] (numeric) 2.927793738517918 absolute error 4.987121826616203e-13 relative error 1.70337198314383e-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) 2.9454648381490784 y[1] (numeric) 2.945464838148573 absolute error 5.053735208093713e-13 relative error 1.7157683034062172e-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) 2.9630413920838095 y[1] (numeric) 2.9630413920832988 absolute error 5.10702591327572e-13 relative error 1.723575622979778e-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) 2.9805216426818646 y[1] (numeric) 2.980521642681348 absolute error 5.164757510556228e-13 relative error 1.7328367748099943e-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) 2.99790384193275 y[1] (numeric) 2.997903841932228 absolute error 5.222489107836736e-13 relative error 1.742046904503046e-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) 3.015186251631026 y[1] (numeric) 3.015186251630498 absolute error 5.280220705117245e-13 relative error 1.751208802527863e-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) 3.0323671435501245 y[1] (numeric) 3.0323671435495907 absolute error 5.337952302397753e-13 relative error 1.7603252013040805e-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) 3.049444799615171 y[1] (numeric) 3.049444799614631 absolute error 5.395683899678261e-13 relative error 1.769398777232884e-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) 3.066417512074789 y[1] (numeric) 3.0664175120742443 absolute error 5.448974604860268e-13 relative error 1.7769839180097173e-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) 3.0832835836718795 y[1] (numeric) 3.0832835836713284 absolute error 5.511147094239277e-13 relative error 1.7874278977855345e-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) 3.1000413278133356 y[1] (numeric) 3.100041327812778 absolute error 5.577760475716786e-13 relative error 1.7992535859678846e-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) 3.116689068738708 y[1] (numeric) 3.1166890687381454 absolute error 5.626610288800293e-13 relative error 1.8053165281185153e-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) 3.1332251416877774 y[1] (numeric) 3.13322514168721 absolute error 5.6754601018838e-13 relative error 1.8113795993691646e-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) 3.14964789306703 y[1] (numeric) 3.149647893066456 absolute error 5.737632591262809e-13 relative error 1.821674290606395e-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) 3.1659556806150118 y[1] (numeric) 3.1659556806144327 absolute error 5.790923296444817e-13 relative error 1.8291232981883953e-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) 3.182146873566559 y[1] (numeric) 3.182146873565974 absolute error 5.848654893725325e-13 relative error 1.8379588140034957e-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) 3.1982198528158676 y[1] (numeric) 3.1982198528152783 absolute error 5.893063814710331e-13 relative error 1.8426074772570097e-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) 3.214173011078408 y[1] (numeric) 3.214173011077813 absolute error 5.950795411990839e-13 relative error 1.8514234894885912e-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) 3.2300047530516487 y[1] (numeric) 3.230004753051048 absolute error 6.008527009271347e-13 relative error 1.860222342891168e-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) 3.2457134955745843 y[1] (numeric) 3.2457134955739777 absolute error 6.066258606551855e-13 relative error 1.8690061876450232e-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) 3.261297667786054 y[1] (numeric) 3.261297667785442 absolute error 6.119549311733863e-13 relative error 1.876415444128455e-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) 3.2767557112818224 y[1] (numeric) 3.276755711281205 absolute error 6.17284001691587e-13 relative error 1.8838267362021745e-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) 3.2920860802704217 y[1] (numeric) 3.2920860802698 absolute error 6.217248937900877e-13 relative error 1.88854385526583e-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) 3.307287241727728 y[1] (numeric) 3.3072872417271024 absolute error 6.257216966787382e-13 relative error 1.8919484488195254e-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) 3.3223576755502586 y[1] (numeric) 3.3223576755496342 absolute error 6.24389429049188e-13 relative error 1.8793564390859114e-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) 3.337295874707195 y[1] (numeric) 3.3372958747065726 absolute error 6.221689829999377e-13 relative error 1.8642907502306045e-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) 3.3521003453910705 y[1] (numeric) 3.3521003453904483 absolute error 6.221689829999377e-13 relative error 1.8560571548980668e-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) 3.3667696071671527 y[1] (numeric) 3.3667696071665327 absolute error 6.199485369506874e-13 relative error 1.8413749952801815e-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) 3.38130219312149 y[1] (numeric) 3.381302193120872 absolute error 6.181721801112872e-13 relative error 1.8282074325353747e-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) 3.3956966500075954 y[1] (numeric) 3.39569665000698 absolute error 6.155076448521868e-13 relative error 1.812610808008454e-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) 3.409951538391778 y[1] (numeric) 3.409951538391163 absolute error 6.146194664324867e-13 relative error 1.8024287427919203e-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) 3.424065432797076 y[1] (numeric) 3.424065432796463 absolute error 6.132871988029365e-13 relative error 1.7911082917067677e-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) 3.4380369218458124 y[1] (numeric) 3.4380369218452005 absolute error 6.119549311733863e-13 relative error 1.7799545062617887e-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) 3.451864608400724 y[1] (numeric) 3.4518646084001134 absolute error 6.106226635438361e-13 relative error 1.768964698261275e-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) 3.465547109704678 y[1] (numeric) 3.46554710970407 absolute error 6.079581282847357e-13 relative error 1.7542919170893734e-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) 3.479083057518948 y[1] (numeric) 3.4790830575183405 absolute error 6.075140390748857e-13 relative error 1.7461900996066603e-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) 3.4924710982600304 y[1] (numeric) 3.492471098259425 absolute error 6.052935930256353e-13 relative error 1.7331384455184073e-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) 3.505709893135009 y[1] (numeric) 3.505709893134405 absolute error 6.039613253960852e-13 relative error 1.722793225357241e-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) 3.518798118275429 y[1] (numeric) 3.5187981182748254 absolute error 6.035172361862351e-13 relative error 1.7151232207718135e-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) 3.5317344648696807 y[1] (numeric) 3.5317344648690785 absolute error 6.021849685566849e-13 relative error 1.7050686413337286e-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) 3.544517639293888 y[1] (numeric) 3.5445176392932867 absolute error 6.012967901369848e-13 relative error 1.696413592278724e-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) 3.5571463632412588 y[1] (numeric) 3.557146363240659 absolute error 5.999645225074346e-13 relative error 1.686645589586449e-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) 3.569619373849923 y[1] (numeric) 3.5696193738493243 absolute error 5.986322548778844e-13 relative error 1.6770198505288947e-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) 3.581935423829215 y[1] (numeric) 3.581935423828617 absolute error 5.977440764581843e-13 relative error 1.6687740166437027e-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) 3.5940932815843984 y[1] (numeric) 3.5940932815838025 absolute error 5.95967719618784e-13 relative error 1.6581865659203514e-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) 3.6060917313398306 y[1] (numeric) 3.6060917313392364 absolute error 5.941913627793838e-13 relative error 1.647743338349893e-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) 3.6179295732605334 y[1] (numeric) 3.617929573259941 absolute error 5.924150059399835e-13 relative error 1.6374420616653685e-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) 3.6296056235721803 y[1] (numeric) 3.6296056235715897 absolute error 5.906386491005833e-13 relative error 1.627280510215017e-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) 3.6411187146794717 y[1] (numeric) 3.641118714678881 absolute error 5.906386491005833e-13 relative error 1.62213510567336e-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) 3.652467695282888 y[1] (numeric) 3.652467695282299 absolute error 5.88862292261183e-13 relative error 1.6122313498397004e-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) 3.663651430493829 y[1] (numeric) 3.663651430493241 absolute error 5.879741138414829e-13 relative error 1.6048855219892712e-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) 3.6746688019480906 y[1] (numeric) 3.6746688019475053 absolute error 5.853095785823825e-13 relative error 1.592822673630032e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7099999999996984 y[1] (closed_form) 3.685518707917712 y[1] (numeric) 3.6855187079171268 absolute error 5.853095785823825e-13 relative error 1.5881335165249444e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6999999999996995 y[1] (closed_form) 3.6962000634211343 y[1] (numeric) 3.696200063420551 absolute error 5.830891325331322e-13 relative error 1.57753672022135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6899999999997006 y[1] (closed_form) 3.7067118003317105 y[1] (numeric) 3.706711800331129 absolute error 5.81756864903582e-13 relative error 1.5694688344843023e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6799999999997017 y[1] (closed_form) 3.71705286748451 y[1] (numeric) 3.717052867483928 absolute error 5.81756864903582e-13 relative error 1.565102476729856e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.669999999999703 y[1] (closed_form) 3.7272222307814316 y[1] (numeric) 3.7272222307808516 absolute error 5.799805080641818e-13 relative error 1.556066346874589e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.659999999999704 y[1] (closed_form) 3.7372188732946228 y[1] (numeric) 3.737218873294045 absolute error 5.777600620149315e-13 relative error 1.5459626037519046e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.649999999999705 y[1] (closed_form) 3.7470417953681627 y[1] (numeric) 3.747041795367586 absolute error 5.768718835952313e-13 relative error 1.5395394956851588e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.639999999999706 y[1] (closed_form) 3.7566900147180284 y[1] (numeric) 3.756690014717453 absolute error 5.755396159656812e-13 relative error 1.5320391453934756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6299999999997072 y[1] (closed_form) 3.766162566530327 y[1] (numeric) 3.7661625665297516 absolute error 5.755396159656812e-13 relative error 1.5281858013259147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6199999999997083 y[1] (closed_form) 3.7754585035577684 y[1] (numeric) 3.7754585035571946 absolute error 5.737632591262809e-13 relative error 1.5197180914201558e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6099999999997094 y[1] (closed_form) 3.784576896214399 y[1] (numeric) 3.7845768962138258 absolute error 5.733191699164308e-13 relative error 1.5148831312950864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5999999999997105 y[1] (closed_form) 3.7935168326685504 y[1] (numeric) 3.7935168326679776 absolute error 5.728750807065808e-13 relative error 1.510142450860279e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5899999999997116 y[1] (closed_form) 3.802277418934027 y[1] (numeric) 3.802277418933455 absolute error 5.719869022868806e-13 relative error 1.5043271157401183e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5799999999997127 y[1] (closed_form) 3.8108577789595035 y[1] (numeric) 3.8108577789589324 absolute error 5.710987238671805e-13 relative error 1.498609386632923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.569999999999714 y[1] (closed_form) 3.819257054716127 y[1] (numeric) 3.819257054715557 absolute error 5.702105454474804e-13 relative error 1.4929881316665195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.559999999999715 y[1] (closed_form) 3.8274744062833213 y[1] (numeric) 3.827474406282752 absolute error 5.693223670277803e-13 relative error 1.4874622442756506e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.549999999999716 y[1] (closed_form) 3.8355090119327775 y[1] (numeric) 3.8355090119322095 absolute error 5.679900993982301e-13 relative error 1.4808728062719643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.539999999999717 y[1] (closed_form) 3.843360068210626 y[1] (numeric) 3.843360068210059 absolute error 5.6710192097853e-13 relative error 1.4755367983061723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5299999999997183 y[1] (closed_form) 3.851026790017782 y[1] (numeric) 3.8510267900172157 absolute error 5.662137425588298e-13 relative error 1.4702929203881632e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5199999999997194 y[1] (closed_form) 3.8585084106884544 y[1] (numeric) 3.8585084106878877 absolute error 5.666578317686799e-13 relative error 1.4685929676840435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5099999999997205 y[1] (closed_form) 3.8658041820668085 y[1] (numeric) 3.865804182066243 absolute error 5.653255641391297e-13 relative error 1.4623750648355002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4999999999997216 y[1] (closed_form) 3.8729133745817883 y[1] (numeric) 3.8729133745812234 absolute error 5.648814749292796e-13 relative error 1.4585440475809187e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4899999999997227 y[1] (closed_form) 3.8798352773200655 y[1] (numeric) 3.8798352773195015 absolute error 5.639932965095795e-13 relative error 1.4536526841911415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4799999999997238 y[1] (closed_form) 3.886569198097135 y[1] (numeric) 3.8865691980965718 absolute error 5.631051180898794e-13 relative error 1.4488488159829388e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.469999999999725 y[1] (closed_form) 3.8931144635265307 y[1] (numeric) 3.893114463525968 absolute error 5.626610288800293e-13 relative error 1.445272247069637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.459999999999726 y[1] (closed_form) 3.899470419087164 y[1] (numeric) 3.899470419086602 absolute error 5.622169396701793e-13 relative error 1.4417776755485425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.449999999999727 y[1] (closed_form) 3.9056364291887746 y[1] (numeric) 3.9056364291882137 absolute error 5.608846720406291e-13 relative error 1.4360903330603365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.439999999999728 y[1] (closed_form) 3.911611877235493 y[1] (numeric) 3.911611877234932 absolute error 5.608846720406291e-13 relative error 1.4338965358624251e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4299999999997293 y[1] (closed_form) 3.9173961656874914 y[1] (numeric) 3.9173961656869314 absolute error 5.59996493620929e-13 relative error 1.4295120277237808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4199999999997304 y[1] (closed_form) 3.922988716120746 y[1] (numeric) 3.9229887161201864 absolute error 5.595524044110789e-13 relative error 1.42634212051569e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4099999999997315 y[1] (closed_form) 3.9283889692848737 y[1] (numeric) 3.9283889692843146 absolute error 5.591083152012288e-13 relative error 1.423250904054466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3999999999997326 y[1] (closed_form) 3.933596385159059 y[1] (numeric) 3.9335963851585003 absolute error 5.586642259913788e-13 relative error 1.4202377958733776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3899999999997337 y[1] (closed_form) 3.938610443006053 y[1] (numeric) 3.938610443005495 absolute error 5.577760475716786e-13 relative error 1.4161747033452972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3799999999997348 y[1] (closed_form) 3.94343064142425 y[1] (numeric) 3.943430641423692 absolute error 5.577760475716786e-13 relative error 1.4144436615987406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.369999999999736 y[1] (closed_form) 3.9480564983978237 y[1] (numeric) 3.9480564983972672 absolute error 5.564437799421285e-13 relative error 1.4094118971396207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.359999999999737 y[1] (closed_form) 3.952487551344934 y[1] (numeric) 3.952487551344377 absolute error 5.568878691519785e-13 relative error 1.4089554031928155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.349999999999738 y[1] (closed_form) 3.956723357163977 y[1] (numeric) 3.956723357163421 absolute error 5.559996907322784e-13 relative error 1.4052023367405626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.339999999999739 y[1] (closed_form) 3.9607634922779003 y[1] (numeric) 3.960763492277345 absolute error 5.551115123125783e-13 relative error 1.401526532434595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3299999999997403 y[1] (closed_form) 3.9646075526765605 y[1] (numeric) 3.9646075526760054 absolute error 5.551115123125783e-13 relative error 1.400167620469307e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3199999999997414 y[1] (closed_form) 3.968255153957121 y[1] (numeric) 3.968255153956566 absolute error 5.551115123125783e-13 relative error 1.3988805930461006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3099999999997425 y[1] (closed_form) 3.971705931362493 y[1] (numeric) 3.971705931361938 absolute error 5.551115123125783e-13 relative error 1.3976651894823123e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2999999999997436 y[1] (closed_form) 3.97495953981781 y[1] (numeric) 3.9749595398172564 absolute error 5.537792446830281e-13 relative error 1.393169513137762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2899999999997447 y[1] (closed_form) 3.978015653964942 y[1] (numeric) 3.978015653964387 absolute error 5.546674231027282e-13 relative error 1.3943319266476081e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.279999999999746 y[1] (closed_form) 3.9808739681950165 y[1] (numeric) 3.980873968194463 absolute error 5.53335155473178e-13 relative error 1.3899841087510436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.269999999999747 y[1] (closed_form) 3.9835341966789946 y[1] (numeric) 3.9835341966784417 absolute error 5.52891066263328e-13 relative error 1.3879410567738165e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.259999999999748 y[1] (closed_form) 3.9859960733962447 y[1] (numeric) 3.9859960733956923 absolute error 5.524469770534779e-13 relative error 1.3859696971120413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.249999999999749 y[1] (closed_form) 3.9882593521611467 y[1] (numeric) 3.9882593521605947 absolute error 5.520028878436278e-13 relative error 1.3840696883077829e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.23999999999975 y[1] (closed_form) 3.9903238066477096 y[1] (numeric) 3.990323806647158 absolute error 5.515587986337778e-13 relative error 1.382240703661453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2299999999997513 y[1] (closed_form) 3.9921892304122055 y[1] (numeric) 3.992189230411654 absolute error 5.515587986337778e-13 relative error 1.381594826297419e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2199999999997524 y[1] (closed_form) 3.9938554369138126 y[1] (numeric) 3.993855436913261 absolute error 5.515587986337778e-13 relative error 1.3810184353091807e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2099999999997535 y[1] (closed_form) 3.9953222595332694 y[1] (numeric) 3.9953222595327174 absolute error 5.520028878436278e-13 relative error 1.3816229379907702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1999999999997546 y[1] (closed_form) 3.996589551589535 y[1] (numeric) 3.9965895515889835 absolute error 5.515587986337778e-13 relative error 1.3800736640929519e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1899999999997557 y[1] (closed_form) 3.997657186354461 y[1] (numeric) 3.9976571863539103 absolute error 5.506706202140776e-13 relative error 1.3774833472307928e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.179999999999757 y[1] (closed_form) 3.9985250570654607 y[1] (numeric) 3.99852505706491 absolute error 5.506706202140776e-13 relative error 1.37718436762334e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.169999999999758 y[1] (closed_form) 3.9991930769361854 y[1] (numeric) 3.999193076935635 absolute error 5.502265310042276e-13 relative error 1.3758438775498198e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.159999999999759 y[1] (closed_form) 3.999661179165205 y[1] (numeric) 3.9996611791646552 absolute error 5.497824417943775e-13 relative error 1.3745725379396416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.14999999999976 y[1] (closed_form) 3.999929316942688 y[1] (numeric) 3.9999293169421377 absolute error 5.502265310042276e-13 relative error 1.3755906352484962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.139999999999761 y[1] (closed_form) 3.9999974634550783 y[1] (numeric) 3.9999974634545272 absolute error 5.511147094239277e-13 relative error 1.3777876472648842e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1299999999997623 y[1] (closed_form) 3.999865611887782 y[1] (numeric) 3.9998656118872304 absolute error 5.515587986337778e-13 relative error 1.3789433249820194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1199999999997634 y[1] (closed_form) 3.9995337754258466 y[1] (numeric) 3.9995337754252946 absolute error 5.520028878436278e-13 relative error 1.3801680866786876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1099999999997645 y[1] (closed_form) 3.9990019872526403 y[1] (numeric) 3.999001987252089 absolute error 5.511147094239277e-13 relative error 1.3781306215417756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0999999999997656 y[1] (closed_form) 3.9982703005465394 y[1] (numeric) 3.9982703005459874 absolute error 5.520028878436278e-13 relative error 1.3806042272033793e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0899999999997667 y[1] (closed_form) 3.997338788475603 y[1] (numeric) 3.99733878847505 absolute error 5.52891066263328e-13 relative error 1.3831478779264907e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.079999999999768 y[1] (closed_form) 3.9962075441902627 y[1] (numeric) 3.99620754418971 absolute error 5.52891066263328e-13 relative error 1.383539418684918e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.069999999999769 y[1] (closed_form) 3.994876680814004 y[1] (numeric) 3.994876680813451 absolute error 5.52891066263328e-13 relative error 1.3840003345251443e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.05999999999977 y[1] (closed_form) 3.993346331432056 y[1] (numeric) 3.9933463314315025 absolute error 5.53335155473178e-13 relative error 1.3856427906535876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.049999999999771 y[1] (closed_form) 3.9916166490780807 y[1] (numeric) 3.9916166490775273 absolute error 5.53335155473178e-13 relative error 1.386243229547052e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.039999999999772 y[1] (closed_form) 3.989687806718873 y[1] (numeric) 3.9896878067183192 absolute error 5.537792446830281e-13 relative error 1.3880265111230776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0299999999997733 y[1] (closed_form) 3.987559997237061 y[1] (numeric) 3.9875599972365077 absolute error 5.53335155473178e-13 relative error 1.3876534920015704e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0199999999997744 y[1] (closed_form) 3.9852334334118193 y[1] (numeric) 3.9852334334112665 absolute error 5.52891066263328e-13 relative error 1.3873492619728162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0099999999997755 y[1] (closed_form) 3.982708347897593 y[1] (numeric) 3.9827083478970398 absolute error 5.53335155473178e-13 relative error 1.3893439015319178e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9999999999997766 y[1] (closed_form) 3.979984993200828 y[1] (numeric) 3.979984993200274 absolute error 5.542233338928781e-13 relative error 1.3925261900225268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9899999999997777 y[1] (closed_form) 3.977063641654725 y[1] (numeric) 3.977063641654171 absolute error 5.542233338928781e-13 relative error 1.393549069942175e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.979999999999779 y[1] (closed_form) 3.9739445853920037 y[1] (numeric) 3.97394458539145 absolute error 5.537792446830281e-13 relative error 1.393525331779133e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.96999999999978 y[1] (closed_form) 3.9706281363156926 y[1] (numeric) 3.970628136315138 absolute error 5.546674231027282e-13 relative error 1.3969261387882038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.959999999999781 y[1] (closed_form) 3.967114626067934 y[1] (numeric) 3.967114626067379 absolute error 5.551115123125783e-13 relative error 1.3992827650225612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.949999999999782 y[1] (closed_form) 3.963404405996825 y[1] (numeric) 3.96340440599627 absolute error 5.551115123125783e-13 relative error 1.4005926608767637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9399999999997832 y[1] (closed_form) 3.9594978471212823 y[1] (numeric) 3.9594978471207267 absolute error 5.555556015224283e-13 relative error 1.4030961070640311e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9299999999997843 y[1] (closed_form) 3.9553953400939355 y[1] (numeric) 3.955395340093381 absolute error 5.546674231027282e-13 relative error 1.4023059022200182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9199999999997854 y[1] (closed_form) 3.9510972951620715 y[1] (numeric) 3.9510972951615155 absolute error 5.559996907322784e-13 relative error 1.407203237979164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9099999999997865 y[1] (closed_form) 3.946604142126599 y[1] (numeric) 3.946604142126044 absolute error 5.551115123125783e-13 relative error 1.4065548312465421e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8999999999997876 y[1] (closed_form) 3.9419163302990796 y[1] (numeric) 3.9419163302985236 absolute error 5.559996907322784e-13 relative error 1.4104807006141954e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8899999999997887 y[1] (closed_form) 3.9370343284567877 y[1] (numeric) 3.9370343284562317 absolute error 5.559996907322784e-13 relative error 1.412229725083996e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.87999999999979 y[1] (closed_form) 3.9319586247958407 y[1] (numeric) 3.9319586247952842 absolute error 5.564437799421285e-13 relative error 1.4151821853695643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.869999999999791 y[1] (closed_form) 3.9266897268823744 y[1] (numeric) 3.926689726881817 absolute error 5.573319583618286e-13 relative error 1.4193430016797548e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.859999999999792 y[1] (closed_form) 3.921228161601789 y[1] (numeric) 3.921228161601231 absolute error 5.577760475716786e-13 relative error 1.422452416907645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.849999999999793 y[1] (closed_form) 3.9155744751060615 y[1] (numeric) 3.9155744751055033 absolute error 5.582201367815287e-13 relative error 1.4256404528390643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8399999999997942 y[1] (closed_form) 3.9097292327591306 y[1] (numeric) 3.909729232758571 absolute error 5.595524044110789e-13 relative error 1.4311794272673911e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8299999999997953 y[1] (closed_form) 3.903693019080359 y[1] (numeric) 3.9036930190797987 absolute error 5.60440582830779e-13 relative error 1.4356676616001145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8199999999997964 y[1] (closed_form) 3.8974664376860852 y[1] (numeric) 3.8974664376855244 absolute error 5.608846720406291e-13 relative error 1.4391007107007308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8099999999997975 y[1] (closed_form) 3.8910501112292604 y[1] (numeric) 3.891050111228698 absolute error 5.622169396701793e-13 relative error 1.444897710383287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7999999999997986 y[1] (closed_form) 3.8844446813371816 y[1] (numeric) 3.8844446813366194 absolute error 5.622169396701793e-13 relative error 1.447354733538493e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7899999999997998 y[1] (closed_form) 3.877650808547335 y[1] (numeric) 3.8776508085467714 absolute error 5.635492072997295e-13 relative error 1.4533263440264471e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.779999999999801 y[1] (closed_form) 3.870669172241337 y[1] (numeric) 3.870669172240773 absolute error 5.639932965095795e-13 relative error 1.4570950691272728e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.769999999999802 y[1] (closed_form) 3.8635004705770006 y[1] (numeric) 3.8635004705764358 absolute error 5.648814749292796e-13 relative error 1.4620975957715272e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.759999999999803 y[1] (closed_form) 3.8561454204185184 y[1] (numeric) 3.8561454204179535 absolute error 5.648814749292796e-13 relative error 1.4648863394471557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.749999999999804 y[1] (closed_form) 3.848604757264778 y[1] (numeric) 3.8486047572642113 absolute error 5.666578317686799e-13 relative error 1.4723721127742052e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7399999999998053 y[1] (closed_form) 3.8408792351758088 y[1] (numeric) 3.840879235175242 absolute error 5.666578317686799e-13 relative error 1.4753336334531806e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7299999999998064 y[1] (closed_form) 3.832969626697384 y[1] (numeric) 3.832969626696816 absolute error 5.679900993982301e-13 relative error 1.48185390106425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7199999999998075 y[1] (closed_form) 3.824876722783758 y[1] (numeric) 3.8248767227831895 absolute error 5.684341886080801e-13 relative error 1.4861503515187068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7099999999998086 y[1] (closed_form) 3.81660133271858 y[1] (numeric) 3.8166013327180104 absolute error 5.697664562376303e-13 relative error 1.4928634315384035e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6999999999998097 y[1] (closed_form) 3.8081442840339594 y[1] (numeric) 3.808144284033389 absolute error 5.706546346573305e-13 relative error 1.4985110649558613e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6899999999998108 y[1] (closed_form) 3.7995064224277177 y[1] (numeric) 3.7995064224271453 absolute error 5.724309914967307e-13 relative error 1.5065930356579644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.679999999999812 y[1] (closed_form) 3.7906886116788163 y[1] (numeric) 3.7906886116782434 absolute error 5.728750807065808e-13 relative error 1.5112691634485547e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.669999999999813 y[1] (closed_form) 3.781691733560983 y[1] (numeric) 3.7816917335604088 absolute error 5.74207348336131e-13 relative error 1.5183875069463575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.659999999999814 y[1] (closed_form) 3.772516687754532 y[1] (numeric) 3.7725166877539564 absolute error 5.755396159656812e-13 relative error 1.52561184907111e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.649999999999815 y[1] (closed_form) 3.7631643917563977 y[1] (numeric) 3.7631643917558213 absolute error 5.764277943853813e-13 relative error 1.5317635223380254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6399999999998163 y[1] (closed_form) 3.753635780788386 y[1] (numeric) 3.753635780787809 absolute error 5.768718835952313e-13 relative error 1.5368349975448855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6299999999998174 y[1] (closed_form) 3.743931807703654 y[1] (numeric) 3.7439318077030763 absolute error 5.777600620149315e-13 relative error 1.543190666096297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6199999999998185 y[1] (closed_form) 3.7340534428914243 y[1] (numeric) 3.734053442890845 absolute error 5.790923296444817e-13 relative error 1.550841032409187e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6099999999998196 y[1] (closed_form) 3.724001674179944 y[1] (numeric) 3.7240016741793642 absolute error 5.799805080641818e-13 relative error 1.557412049745918e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5999999999998207 y[1] (closed_form) 3.71377750673771 y[1] (numeric) 3.713777506737128 absolute error 5.81756864903582e-13 relative error 1.5664828166149733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.589999999999822 y[1] (closed_form) 3.7033819629729443 y[1] (numeric) 3.703381962972362 absolute error 5.822009541134321e-13 relative error 1.572079142617149e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.579999999999823 y[1] (closed_form) 3.6928160824313627 y[1] (numeric) 3.6928160824307787 absolute error 5.839773109528323e-13 relative error 1.581387477516453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.569999999999824 y[1] (closed_form) 3.6820809216922123 y[1] (numeric) 3.6820809216916284 absolute error 5.839773109528323e-13 relative error 1.5859980358184193e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.559999999999825 y[1] (closed_form) 3.6711775542626235 y[1] (numeric) 3.6711775542620373 absolute error 5.861977570020827e-13 relative error 1.5967567581182374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.549999999999826 y[1] (closed_form) 3.66010707047025 y[1] (numeric) 3.6601070704696634 absolute error 5.866418462119327e-13 relative error 1.602799685683952e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5399999999998273 y[1] (closed_form) 3.6488705773542494 y[1] (numeric) 3.648870577353661 absolute error 5.88418203051333e-13 relative error 1.6126036552329232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5299999999998284 y[1] (closed_form) 3.637469198554566 y[1] (numeric) 3.637469198553977 absolute error 5.88862292261183e-13 relative error 1.6188791165439458e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5199999999998295 y[1] (closed_form) 3.625904074199582 y[1] (numeric) 3.625904074198991 absolute error 5.906386491005833e-13 relative error 1.6289417398086207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5099999999998306 y[1] (closed_form) 3.614176360792092 y[1] (numeric) 3.614176360791501 absolute error 5.906386491005833e-13 relative error 1.634227525552011e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4999999999998317 y[1] (closed_form) 3.6022872310936656 y[1] (numeric) 3.6022872310930736 absolute error 5.919709167301335e-13 relative error 1.6433195876787685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.489999999999833 y[1] (closed_form) 3.5902378740073653 y[1] (numeric) 3.5902378740067715 absolute error 5.937472735695337e-13 relative error 1.6537825470232775e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.479999999999834 y[1] (closed_form) 3.5780294944588587 y[1] (numeric) 3.5780294944582622 absolute error 5.964118088286341e-13 relative error 1.666872253994193e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.469999999999835 y[1] (closed_form) 3.565663313275925 y[1] (numeric) 3.565663313275328 absolute error 5.968558980384842e-13 relative error 1.6738986426907692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.459999999999836 y[1] (closed_form) 3.5531405670663796 y[1] (numeric) 3.5531405670657814 absolute error 5.981881656680343e-13 relative error 1.6835477076605594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.449999999999837 y[1] (closed_form) 3.540462508094407 y[1] (numeric) 3.540462508093807 absolute error 6.004086117172847e-13 relative error 1.6958479586906972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4399999999998383 y[1] (closed_form) 3.5276304041553397 y[1] (numeric) 3.527630404154739 absolute error 6.008527009271347e-13 relative error 1.703275661246614e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4299999999998394 y[1] (closed_form) 3.5146455384488773 y[1] (numeric) 3.514645538448276 absolute error 6.012967901369848e-13 relative error 1.7108319560508393e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4199999999998405 y[1] (closed_form) 3.501509209450771 y[1] (numeric) 3.501509209450168 absolute error 6.03073146976385e-13 relative error 1.722323463690047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4099999999998416 y[1] (closed_form) 3.488222730782973 y[1] (numeric) 3.4882227307823683 absolute error 6.048495038157853e-13 relative error 1.7339761549000043e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3999999999998427 y[1] (closed_form) 3.4747874310822784 y[1] (numeric) 3.474787431081672 absolute error 6.061817714453355e-13 relative error 1.7445146889360378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.389999999999844 y[1] (closed_form) 3.461204653867461 y[1] (numeric) 3.461204653866853 absolute error 6.079581282847357e-13 relative error 1.7564928661627072e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.379999999999845 y[1] (closed_form) 3.4474757574049235 y[1] (numeric) 3.4474757574043142 absolute error 6.092903959142859e-13 relative error 1.767352227511898e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.369999999999846 y[1] (closed_form) 3.433602114572871 y[1] (numeric) 3.4336021145722606 absolute error 6.10178574333986e-13 relative error 1.777080028417592e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.359999999999847 y[1] (closed_form) 3.4195851127240253 y[1] (numeric) 3.419585112723414 absolute error 6.115108419635362e-13 relative error 1.7882603351153603e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.349999999999848 y[1] (closed_form) 3.405426153546892 y[1] (numeric) 3.405426153546278 absolute error 6.137312880127865e-13 relative error 1.802215817757669e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3399999999998493 y[1] (closed_form) 3.3911266529255872 y[1] (numeric) 3.391126652924973 absolute error 6.141753772226366e-13 relative error 1.811124856374138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3299999999998504 y[1] (closed_form) 3.3766880407982596 y[1] (numeric) 3.3766880407976436 absolute error 6.159517340620368e-13 relative error 1.8241298177975123e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3199999999998515 y[1] (closed_form) 3.362111761014088 y[1] (numeric) 3.36211176101347 absolute error 6.177280909014371e-13 relative error 1.8373217037708365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3099999999998526 y[1] (closed_form) 3.3473992711889036 y[1] (numeric) 3.347399271188285 absolute error 6.186162693211372e-13 relative error 1.8480504391739976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2999999999998537 y[1] (closed_form) 3.3325520425594304 y[1] (numeric) 3.3325520425588095 absolute error 6.208367153703875e-13 relative error 1.8629467970546058e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.289999999999855 y[1] (closed_form) 3.317571559836157 y[1] (numeric) 3.3175715598355344 absolute error 6.226130722097878e-13 relative error 1.876713315689674e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.279999999999856 y[1] (closed_form) 3.3024593210548723 y[1] (numeric) 3.3024593210542483 absolute error 6.23945339839338e-13 relative error 1.8893354290887594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.269999999999857 y[1] (closed_form) 3.287216837426862 y[1] (numeric) 3.287216837426236 absolute error 6.261657858885883e-13 relative error 1.9048508718966428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.259999999999858 y[1] (closed_form) 3.2718456331877857 y[1] (numeric) 3.2718456331871577 absolute error 6.279421427279885e-13 relative error 1.9192291236435243e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2499999999998592 y[1] (closed_form) 3.2563472454452587 y[1] (numeric) 3.256347245444629 absolute error 6.297184995673888e-13 relative error 1.9338186381940474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2399999999998603 y[1] (closed_form) 3.2407232240251407 y[1] (numeric) 3.240723224024508 absolute error 6.328271240363392e-13 relative error 1.9527342518634967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2299999999998614 y[1] (closed_form) 3.224975131316551 y[1] (numeric) 3.2249751313159174 absolute error 6.337153024560394e-13 relative error 1.965023842516683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2199999999998625 y[1] (closed_form) 3.2091045421156403 y[1] (numeric) 3.209104542115004 absolute error 6.363798377151397e-13 relative error 1.9830448941859612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2099999999998636 y[1] (closed_form) 3.1931130434681005 y[1] (numeric) 3.1931130434674637 absolute error 6.368239269249898e-13 relative error 1.994366996269331e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1999999999998647 y[1] (closed_form) 3.177002234510473 y[1] (numeric) 3.177002234509833 absolute error 6.399325513939402e-13 relative error 2.0142653487700297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.189999999999866 y[1] (closed_form) 3.160773726310225 y[1] (numeric) 3.1607737263095848 absolute error 6.403766406037903e-13 relative error 2.0260122870337296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.179999999999867 y[1] (closed_form) 3.144429141704655 y[1] (numeric) 3.144429141704013 absolute error 6.417089082333405e-13 relative error 2.0407803111933314e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.169999999999868 y[1] (closed_form) 3.127970115138602 y[1] (numeric) 3.1279701151379573 absolute error 6.448175327022909e-13 relative error 2.061456820132435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.159999999999869 y[1] (closed_form) 3.1113982925010077 y[1] (numeric) 3.111398292500361 absolute error 6.465938895416912e-13 relative error 2.0781456719960636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1499999999998702 y[1] (closed_form) 3.094715330960325 y[1] (numeric) 3.0947153309596764 absolute error 6.483702463810914e-13 relative error 2.095088488090098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1399999999998713 y[1] (closed_form) 3.077922898798806 y[1] (numeric) 3.0779228987981546 absolute error 6.514788708500419e-13 relative error 2.1166185517651816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1299999999998724 y[1] (closed_form) 3.061022675245674 y[1] (numeric) 3.06102267524502 absolute error 6.541434061091422e-13 relative error 2.1370093446192504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1199999999998735 y[1] (closed_form) 3.0440163503091986 y[1] (numeric) 3.044016350308543 absolute error 6.554756737386924e-13 relative error 2.1533250755112138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1099999999998746 y[1] (closed_form) 3.0269056246077035 y[1] (numeric) 3.0269056246070463 absolute error 6.572520305780927e-13 relative error 2.1713661147373056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0999999999998757 y[1] (closed_form) 3.0096922091995006 y[1] (numeric) 3.0096922091988407 absolute error 6.59916565837193e-13 relative error 2.192638050562365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.089999999999877 y[1] (closed_form) 2.9923778254117845 y[1] (numeric) 2.992377825411123 absolute error 6.616929226765933e-13 relative error 2.2112612821061024e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.079999999999878 y[1] (closed_form) 2.974964204668505 y[1] (numeric) 2.9749642046678417 absolute error 6.634692795159935e-13 relative error 2.2301756722814846e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.069999999999879 y[1] (closed_form) 2.9574530883172274 y[1] (numeric) 2.9574530883165617 absolute error 6.656897255652439e-13 relative error 2.25088853715011e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.05999999999988 y[1] (closed_form) 2.939846227454993 y[1] (numeric) 2.939846227454325 absolute error 6.679101716144942e-13 relative error 2.2719221344876257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0499999999998813 y[1] (closed_form) 2.9221453827532153 y[1] (numeric) 2.922145382752545 absolute error 6.701306176637445e-13 relative error 2.293282947586798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0399999999998824 y[1] (closed_form) 2.9043523242816143 y[1] (numeric) 2.9043523242809415 absolute error 6.727951529228449e-13 relative error 2.316506669311408e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0299999999998835 y[1] (closed_form) 2.886468831331209 y[1] (numeric) 2.886468831330535 absolute error 6.741274205523951e-13 relative error 2.3354744497327364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0199999999998846 y[1] (closed_form) 2.868496692236393 y[1] (numeric) 2.8684966922357162 absolute error 6.767919558114954e-13 relative error 2.3593959778417653e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0099999999998857 y[1] (closed_form) 2.850437704196098 y[1] (numeric) 2.8504377041954188 absolute error 6.794564910705958e-13 relative error 2.383691775022395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9999999999998868 y[1] (closed_form) 2.832293673094079 y[1] (numeric) 2.832293673093398 absolute error 6.812328479099961e-13 relative error 2.4052338017822766e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9899999999998879 y[1] (closed_form) 2.8140664133183257 y[1] (numeric) 2.814066413317643 absolute error 6.825651155395462e-13 relative error 2.425547287402754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.979999999999889 y[1] (closed_form) 2.7957577475796285 y[1] (numeric) 2.7957577475789437 absolute error 6.847855615887966e-13 relative error 2.4493737419904712e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.96999999999989 y[1] (closed_form) 2.7773695067293014 y[1] (numeric) 2.777369506728615 absolute error 6.865619184281968e-13 relative error 2.471986232889512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9599999999998912 y[1] (closed_form) 2.7589035295761075 y[1] (numeric) 2.758903529575419 absolute error 6.883382752675971e-13 relative error 2.4949704398448357e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9499999999998923 y[1] (closed_form) 2.740361662702374 y[1] (numeric) 2.7403616627016834 absolute error 6.905587213168474e-13 relative error 2.5199546859660173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9399999999998934 y[1] (closed_form) 2.721745760279336 y[1] (numeric) 2.721745760278644 absolute error 6.918909889463976e-13 relative error 2.5420853007056325e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9299999999998945 y[1] (closed_form) 2.703057683881722 y[1] (numeric) 2.7030576838810285 absolute error 6.936673457857978e-13 relative error 2.5662321226887684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9199999999998956 y[1] (closed_form) 2.6842993023016 y[1] (numeric) 2.6842993023009045 absolute error 6.954437026251981e-13 relative error 2.590783010035071e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9099999999998967 y[1] (closed_form) 2.6654724913614958 y[1] (numeric) 2.6654724913607977 absolute error 6.981082378842984e-13 relative error 2.6190787567562252e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8999999999998978 y[1] (closed_form) 2.6465791337268136 y[1] (numeric) 2.6465791337261133 absolute error 7.003286839335487e-13 relative error 2.646165667252776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8899999999998989 y[1] (closed_form) 2.627621118717572 y[1] (numeric) 2.6276211187168705 absolute error 7.016609515630989e-13 relative error 2.6703277217742456e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8799999999999 y[1] (closed_form) 2.608600342119476 y[1] (numeric) 2.6086003421187725 absolute error 7.034373084024992e-13 relative error 2.6966082041948964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.869999999999901 y[1] (closed_form) 2.589518705994333 y[1] (numeric) 2.5895187059936275 absolute error 7.056577544517495e-13 relative error 2.725053705224301e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8599999999999022 y[1] (closed_form) 2.570378118489854 y[1] (numeric) 2.5703781184891463 absolute error 7.078782005009998e-13 relative error 2.7539846974611334e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8499999999999033 y[1] (closed_form) 2.5511804936488396 y[1] (numeric) 2.55118049364813 absolute error 7.096545573404001e-13 relative error 2.7816713051353447e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8399999999999044 y[1] (closed_form) 2.5319277512177765 y[1] (numeric) 2.5319277512170633 absolute error 7.132072710192006e-13 relative error 2.8168547490194798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8299999999999055 y[1] (closed_form) 2.512621816454862 y[1] (numeric) 2.512621816454147 absolute error 7.149836278586008e-13 relative error 2.8455680165485225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8199999999999066 y[1] (closed_form) 2.493264619937487 y[1] (numeric) 2.4932646199367694 absolute error 7.176481631177012e-13 relative error 2.8783473578335805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8099999999999077 y[1] (closed_form) 2.4738580973691695 y[1] (numeric) 2.4738580973684496 absolute error 7.198686091669515e-13 relative error 2.9099025927659212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7999999999999088 y[1] (closed_form) 2.454404189385997 y[1] (numeric) 2.4544041893852735 absolute error 7.23421322845752e-13 relative error 2.9474416885945985e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7899999999999099 y[1] (closed_form) 2.4349048413625534 y[1] (numeric) 2.4349048413618286 absolute error 7.247535904753022e-13 relative error 2.976517103106731e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.779999999999911 y[1] (closed_form) 2.4153620032173935 y[1] (numeric) 2.415362003216666 absolute error 7.274181257344026e-13 relative error 3.011631899340315e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.769999999999912 y[1] (closed_form) 2.3957776292180455 y[1] (numeric) 2.3957776292173167 absolute error 7.287503933639528e-13 relative error 3.041811495676285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7599999999999132 y[1] (closed_form) 2.37615367778559 y[1] (numeric) 2.376153677784859 absolute error 7.309708394132031e-13 relative error 3.0762776256728356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7499999999999143 y[1] (closed_form) 2.3564921112988158 y[1] (numeric) 2.3564921112980817 absolute error 7.340794638821535e-13 relative error 3.115136521622195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7399999999999154 y[1] (closed_form) 2.336794895897987 y[1] (numeric) 2.3367948958972504 absolute error 7.367439991412539e-13 relative error 3.152797023112877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7299999999999165 y[1] (closed_form) 2.31706400128823 y[1] (numeric) 2.317064001287492 absolute error 7.380762667708041e-13 relative error 3.1853943885902675e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7199999999999176 y[1] (closed_form) 2.2973014005425645 y[1] (numeric) 2.297301400541824 absolute error 7.402967128200544e-13 relative error 3.222462288340638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7099999999999187 y[1] (closed_form) 2.2775090699045943 y[1] (numeric) 2.277509069903852 absolute error 7.425171588693047e-13 relative error 3.2602160346189487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6999999999999198 y[1] (closed_form) 2.25768898859089 y[1] (numeric) 2.2576889885901466 absolute error 7.434053372890048e-13 relative error 3.2927712410600566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.689999999999921 y[1] (closed_form) 2.2378431385930675 y[1] (numeric) 2.237843138592321 absolute error 7.465139617579553e-13 relative error 3.3358636665985835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.679999999999922 y[1] (closed_form) 2.2179735044795876 y[1] (numeric) 2.217973504478838 absolute error 7.496225862269057e-13 relative error 3.379763485510134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.669999999999923 y[1] (closed_form) 2.1980820731973028 y[1] (numeric) 2.198082073196552 absolute error 7.509548538564559e-13 relative error 3.4164095281671006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6599999999999242 y[1] (closed_form) 2.178170833872767 y[1] (numeric) 2.1781708338720134 absolute error 7.536193891155563e-13 relative error 3.459872739989031e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6499999999999253 y[1] (closed_form) 2.158241777613319 y[1] (numeric) 2.158241777612563 absolute error 7.558398351648066e-13 relative error 3.502109184452209e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6399999999999264 y[1] (closed_form) 2.1382968973079777 y[1] (numeric) 2.13829689730722 absolute error 7.576161920042068e-13 relative error 3.543082314518683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6299999999999275 y[1] (closed_form) 2.1183381874281517 y[1] (numeric) 2.1183381874273923 absolute error 7.593925488436071e-13 relative error 3.584850395231633e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6199999999999286 y[1] (closed_form) 2.0983676438281984 y[1] (numeric) 2.098367643827437 absolute error 7.616129948928574e-13 relative error 3.62954984143481e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6099999999999297 y[1] (closed_form) 2.078387263545835 y[1] (numeric) 2.0783872635450713 absolute error 7.638334409421077e-13 relative error 3.675125682010622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5999999999999308 y[1] (closed_form) 2.0583990446024387 y[1] (numeric) 2.058399044601673 absolute error 7.65609797781508e-13 relative error 3.7194430292274965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.589999999999932 y[1] (closed_form) 2.0384049858032487 y[1] (numeric) 2.038404985802481 absolute error 7.678302438307583e-13 relative error 3.766818905852455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.579999999999933 y[1] (closed_form) 2.018407086537483 y[1] (numeric) 2.0184070865367123 absolute error 7.704947790898586e-13 relative error 3.817340833912843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5699999999999341 y[1] (closed_form) 1.9984073465784018 y[1] (numeric) 1.9984073465776295 absolute error 7.722711359292589e-13 relative error 3.8644330308908875e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5599999999999352 y[1] (closed_form) 1.9784077658833357 y[1] (numeric) 1.9784077658825614 absolute error 7.742695373735842e-13 relative error 3.913599363718035e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5499999999999363 y[1] (closed_form) 1.9584103443936876 y[1] (numeric) 1.9584103443929113 absolute error 7.762679388179095e-13 relative error 3.963765515435109e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5399999999999374 y[1] (closed_form) 1.9384170818349427 y[1] (numeric) 1.938417081834164 absolute error 7.787104294720848e-13 relative error 4.0172491089221244e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5299999999999385 y[1] (closed_form) 1.9184299775166949 y[1] (numeric) 1.9184299775159142 absolute error 7.807088309164101e-13 relative error 4.069519555397044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5199999999999396 y[1] (closed_form) 1.8984510301327209 y[1] (numeric) 1.898451030131938 absolute error 7.829292769656604e-13 relative error 4.124042519605711e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5099999999999407 y[1] (closed_form) 1.8784822375611099 y[1] (numeric) 1.878482237560325 absolute error 7.849276784099857e-13 relative error 4.178520630725159e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4999999999999418 y[1] (closed_form) 1.858525596664478 y[1] (numeric) 1.858525596663691 absolute error 7.86926079854311e-13 relative error 4.2341417372277155e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.489999999999943 y[1] (closed_form) 1.838583103090285 y[1] (numeric) 1.8385831030894957 absolute error 7.893685705084863e-13 relative error 4.2933526865427945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.479999999999944 y[1] (closed_form) 1.818656751071269 y[1] (numeric) 1.8186567510704774 absolute error 7.915890165577366e-13 relative error 4.352602634287398e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4699999999999451 y[1] (closed_form) 1.7987485332260276 y[1] (numeric) 1.7987485332252338 absolute error 7.938094626069869e-13 relative error 4.413120833423569e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4599999999999462 y[1] (closed_form) 1.7788604403597539 y[1] (numeric) 1.7788604403589583 absolute error 7.955858194463872e-13 relative error 4.472446524728433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4499999999999473 y[1] (closed_form) 1.7589944612651625 y[1] (numeric) 1.7589944612643644 absolute error 7.980283101005625e-13 relative error 4.536843791574978e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4399999999999484 y[1] (closed_form) 1.739152582523607 y[1] (numeric) 1.739152582522807 absolute error 8.000267115448878e-13 relative error 4.6000950093982247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4299999999999495 y[1] (closed_form) 1.7193367883064266 y[1] (numeric) 1.7193367883056248 absolute error 8.018030683842881e-13 relative error 4.6634439153371255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4199999999999506 y[1] (closed_form) 1.6995490601765306 y[1] (numeric) 1.6995490601757264 absolute error 8.042455590384634e-13 relative error 4.732111463466239e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4099999999999517 y[1] (closed_form) 1.6797913768902424 y[1] (numeric) 1.679791376889436 absolute error 8.064660050877137e-13 relative error 4.8009890762786565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3999999999999528 y[1] (closed_form) 1.6600657141994253 y[1] (numeric) 1.660065714198617 absolute error 8.08242361927114e-13 relative error 4.8687371530764534e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.389999999999954 y[1] (closed_form) 1.6403740446539103 y[1] (numeric) 1.6403740446531005 absolute error 8.097966741615892e-13 relative error 4.936658665142692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.379999999999955 y[1] (closed_form) 1.6207183374042429 y[1] (numeric) 1.6207183374034309 absolute error 8.120171202108395e-13 relative error 5.0102297325232555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3699999999999561 y[1] (closed_form) 1.6011005580047684 y[1] (numeric) 1.601100558003954 absolute error 8.144596108650148e-13 relative error 5.086873568265843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3599999999999572 y[1] (closed_form) 1.5815226682170778 y[1] (numeric) 1.581522668216261 absolute error 8.166800569142652e-13 relative error 5.1638846114987755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3499999999999583 y[1] (closed_form) 1.5619866258138355 y[1] (numeric) 1.5619866258130164 absolute error 8.191225475684405e-13 relative error 5.24410730560293e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3399999999999594 y[1] (closed_form) 1.5424943843830023 y[1] (numeric) 1.542494384382181 absolute error 8.213429936176908e-13 relative error 5.324771369888831e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3299999999999605 y[1] (closed_form) 1.523047893132477 y[1] (numeric) 1.523047893131654 absolute error 8.22897305852166e-13 relative error 5.4029640798734174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3199999999999616 y[1] (closed_form) 1.5036490966951797 y[1] (numeric) 1.5036490966943545 absolute error 8.251177519014163e-13 relative error 5.487435557371166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3099999999999627 y[1] (closed_form) 1.4842999349345884 y[1] (numeric) 1.4842999349337616 absolute error 8.268941087408166e-13 relative error 5.570936771463626e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2999999999999639 y[1] (closed_form) 1.4650023427507555 y[1] (numeric) 1.4650023427499261 absolute error 8.293365993949919e-13 relative error 5.660991625704786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.289999999999965 y[1] (closed_form) 1.4457582498868176 y[1] (numeric) 1.4457582498859858 absolute error 8.317790900491673e-13 relative error 5.7532377222421787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.279999999999966 y[1] (closed_form) 1.426569580736024 y[1] (numeric) 1.4265695807351897 absolute error 8.342215807033426e-13 relative error 5.84774547255476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2699999999999672 y[1] (closed_form) 1.4074382541492998 y[1] (numeric) 1.4074382541484634 absolute error 8.364420267525929e-13 relative error 5.943010460932546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2599999999999683 y[1] (closed_form) 1.388366183243361 y[1] (numeric) 1.388366183242522 absolute error 8.388845174067683e-13 relative error 6.042242511604907e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2499999999999694 y[1] (closed_form) 1.3693552752094043 y[1] (numeric) 1.3693552752085636 absolute error 8.406608742461685e-13 relative error 6.139099833807652e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2399999999999705 y[1] (closed_form) 1.3504074311223917 y[1] (numeric) 1.3504074311215488 absolute error 8.428813202954188e-13 relative error 6.241681590828167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2299999999999716 y[1] (closed_form) 1.3315245457509413 y[1] (numeric) 1.3315245457500964 absolute error 8.448797217397441e-13 relative error 6.345205760088008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2199999999999727 y[1] (closed_form) 1.3127085073678546 y[1] (numeric) 1.312708507367008 absolute error 8.466560785791444e-13 relative error 6.449688364378746e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2099999999999738 y[1] (closed_form) 1.2939611975612904 y[1] (numeric) 1.2939611975604417 absolute error 8.486544800234697e-13 relative error 6.55857750311923e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1999999999999749 y[1] (closed_form) 1.2752844910466061 y[1] (numeric) 1.2752844910457553 absolute error 8.5087492607272e-13 relative error 6.672040098083684e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.189999999999976 y[1] (closed_form) 1.2566802554788894 y[1] (numeric) 1.2566802554780367 absolute error 8.526512829121202e-13 relative error 6.784950103216162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.179999999999977 y[1] (closed_form) 1.238150351266194 y[1] (numeric) 1.2381503512653396 absolute error 8.544276397515205e-13 relative error 6.900839133775154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1699999999999782 y[1] (closed_form) 1.2196966313834992 y[1] (numeric) 1.219696631382643 absolute error 8.562039965909207e-13 relative error 7.019811111716612e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1599999999999793 y[1] (closed_form) 1.201320941187416 y[1] (numeric) 1.2013209411865569 absolute error 8.590905764549461e-13 relative error 7.151216190452813e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1499999999999804 y[1] (closed_form) 1.1830251182316496 y[1] (numeric) 1.1830251182307887 absolute error 8.608669332943464e-13 relative error 7.276827178286328e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1399999999999815 y[1] (closed_form) 1.1648109920832503 y[1] (numeric) 1.164810992082387 absolute error 8.633094239485217e-13 relative error 7.411583766088122e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1299999999999826 y[1] (closed_form) 1.1466803841396538 y[1] (numeric) 1.1466803841387887 absolute error 8.65085780787922e-13 relative error 7.544262488077615e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1199999999999837 y[1] (closed_form) 1.1286351074465464 y[1] (numeric) 1.128635107445679 absolute error 8.673062268371723e-13 relative error 7.684558287393598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1099999999999848 y[1] (closed_form) 1.110676966516559 y[1] (numeric) 1.1106769665156897 absolute error 8.693046282814976e-13 relative error 7.826799821084947e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0999999999999859 y[1] (closed_form) 1.0928077571488202 y[1] (numeric) 1.0928077571479489 absolute error 8.713030297258229e-13 relative error 7.973067760784274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.089999999999987 y[1] (closed_form) 1.0750292662493752 y[1] (numeric) 1.0750292662485024 absolute error 8.728573419602981e-13 relative error 8.119382135572677e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.079999999999988 y[1] (closed_form) 1.057343271652499 y[1] (numeric) 1.0573432716516242 absolute error 8.748557434046234e-13 relative error 8.274093824206496e-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) 1.0397515419429126 y[1] (numeric) 1.0397515419420365 absolute error 8.761880110341735e-13 relative error 8.426897924064637e-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) 1.0222558362789278 y[1] (numeric) 1.0222558362780498 absolute error 8.779643678735738e-13 relative error 8.588499441288753e-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) 1.0048579042165313 y[1] (numeric) 1.0048579042156511 absolute error 8.801848139228241e-13 relative error 8.759296316717412e-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) 0.9875594855344304 y[1] (numeric) 0.9875594855335483 absolute error 8.820721930646869e-13 relative error 8.931838597928531e-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) 0.9703623100600782 y[1] (numeric) 0.9703623100591946 absolute error 8.836265052991621e-13 relative error 9.106150312499812e-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) 0.953268097496692 y[1] (numeric) 0.9532680974958061 absolute error 8.858469513484124e-13 relative error 9.292736782807174e-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) 0.9362785572512821 y[1] (numeric) 0.9362785572503944 absolute error 8.876233081878127e-13 relative error 9.480333617739671e-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) 0.9193953882637151 y[1] (numeric) 0.919395388262826 absolute error 8.891776204222879e-13 relative error 9.671330004183578e-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) 0.9026202788368193 y[1] (numeric) 0.9026202788359303 absolute error 8.889555758173628e-13 relative error 9.84861072435614e-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) 0.88595490646756 y[1] (numeric) 0.8859549064666709 absolute error 8.891776204222879e-13 relative error 1.003637559802651e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9699999999999968 y[1] (closed_form) 0.869400937679286 y[1] (numeric) 0.8694009376783969 absolute error 8.890665981198254e-13 relative error 1.0226197828737492e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9599999999999967 y[1] (closed_form) 0.8529600278550813 y[1] (numeric) 0.8529600278541921 absolute error 8.891776204222879e-13 relative error 1.0424610666202988e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9499999999999967 y[1] (closed_form) 0.8366338210722278 y[1] (numeric) 0.8366338210713385 absolute error 8.892886427247504e-13 relative error 1.062936520525838e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9399999999999967 y[1] (closed_form) 0.8204239499377984 y[1] (numeric) 0.8204239499369091 absolute error 8.892886427247504e-13 relative error 1.0839379357369724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9299999999999967 y[1] (closed_form) 0.8043320354253982 y[1] (numeric) 0.8043320354245092 absolute error 8.890665981198254e-13 relative error 1.1053477406872305e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9199999999999967 y[1] (closed_form) 0.7883596867130692 y[1] (numeric) 0.78835968671218 absolute error 8.891776204222879e-13 relative error 1.1278831673009077e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9099999999999967 y[1] (closed_form) 0.7725085010223718 y[1] (numeric) 0.7725085010214827 absolute error 8.890665981198254e-13 relative error 1.1508826076906539e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8999999999999967 y[1] (closed_form) 0.7567800634586659 y[1] (numeric) 0.7567800634577769 absolute error 8.889555758173628e-13 relative error 1.174655119420857e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8899999999999967 y[1] (closed_form) 0.741175946852601 y[1] (numeric) 0.7411759468517122 absolute error 8.888445535149003e-13 relative error 1.1992355624725454e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8799999999999967 y[1] (closed_form) 0.7256977116028346 y[1] (numeric) 0.7256977116019455 absolute error 8.890665981198254e-13 relative error 1.2251197487672396e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8699999999999967 y[1] (closed_form) 0.7103469055199926 y[1] (numeric) 0.7103469055191036 absolute error 8.889555758173628e-13 relative error 1.2514386547043857e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8599999999999967 y[1] (closed_form) 0.6951250636718913 y[1] (numeric) 0.6951250636710022 absolute error 8.890665981198254e-13 relative error 1.279002361709514e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8499999999999966 y[1] (closed_form) 0.6800337082300308 y[1] (numeric) 0.6800337082291416 absolute error 8.892886427247504e-13 relative error 1.307712591246927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8399999999999966 y[1] (closed_form) 0.6650743483173787 y[1] (numeric) 0.6650743483164898 absolute error 8.888445535149003e-13 relative error 1.3364589323940318e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8299999999999966 y[1] (closed_form) 0.6502484798574608 y[1] (numeric) 0.6502484798565719 absolute error 8.889555758173628e-13 relative error 1.3671013517974365e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8199999999999966 y[1] (closed_form) 0.6355575854247678 y[1] (numeric) 0.6355575854238789 absolute error 8.889555758173628e-13 relative error 1.3987018583426068e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8099999999999966 y[1] (closed_form) 0.621003134096501 y[1] (numeric) 0.6210031340956118 absolute error 8.891776204222879e-13 relative error 1.431840793711862e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7999999999999966 y[1] (closed_form) 0.6065865813056642 y[1] (numeric) 0.6065865813047749 absolute error 8.892886427247504e-13 relative error 1.4660539321700395e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7899999999999966 y[1] (closed_form) 0.5923093686955231 y[1] (numeric) 0.5923093686946338 absolute error 8.892886427247504e-13 relative error 1.5013921604570966e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7799999999999966 y[1] (closed_form) 0.5781729239754405 y[1] (numeric) 0.5781729239745514 absolute error 8.890665981198254e-13 relative error 1.537717456581538e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7699999999999966 y[1] (closed_form) 0.5641786607781086 y[1] (numeric) 0.5641786607772195 absolute error 8.891776204222879e-13 relative error 1.5760568100820128e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7599999999999966 y[1] (closed_form) 0.5503279785181849 y[1] (numeric) 0.5503279785172959 absolute error 8.890665981198254e-13 relative error 1.6155213487668376e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7499999999999966 y[1] (closed_form) 0.5366222622523535 y[1] (numeric) 0.5366222622514644 absolute error 8.891776204222879e-13 relative error 1.6569898100950211e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7399999999999965 y[1] (closed_form) 0.5230628825408195 y[1] (numeric) 0.5230628825399304 absolute error 8.890665981198254e-13 relative error 1.6997317680067716e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7299999999999965 y[1] (closed_form) 0.5096511953102548 y[1] (numeric) 0.5096511953093655 absolute error 8.892886427247504e-13 relative error 1.7448966095005188e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7199999999999965 y[1] (closed_form) 0.49638854171820546 y[1] (numeric) 0.49638854171731644 absolute error 8.890110869685941e-13 relative error 1.790958114970503e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7099999999999965 y[1] (closed_form) 0.48327624801897917 y[1] (numeric) 0.4832762480180901 absolute error 8.890665981198254e-13 relative error 1.8396654124100675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6999999999999965 y[1] (closed_form) 0.47031562543101846 y[1] (numeric) 0.4703156254301296 absolute error 8.888445535149003e-13 relative error 1.889889481558949e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6899999999999965 y[1] (closed_form) 0.45750797000578214 y[1] (numeric) 0.4575079700048933 absolute error 8.888445535149003e-13 relative error 1.9427957801558447e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6799999999999965 y[1] (closed_form) 0.4448545624981398 y[1] (numeric) 0.44485456249725075 absolute error 8.890665981198254e-13 relative error 1.9985556473269688e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6699999999999965 y[1] (closed_form) 0.4323566682382971 y[1] (numeric) 0.43235666823740804 absolute error 8.890665981198254e-13 relative error 2.0563267862676023e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6599999999999965 y[1] (closed_form) 0.4200155370052654 y[1] (numeric) 0.42001553700437644 absolute error 8.889555758173628e-13 relative error 2.1164826000382428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6499999999999965 y[1] (closed_form) 0.40783240290188416 y[1] (numeric) 0.40783240290099493 absolute error 8.892331315735191e-13 relative error 2.1803886234793606e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6399999999999965 y[1] (closed_form) 0.39580848423141035 y[1] (numeric) 0.39580848423052134 absolute error 8.890110869685941e-13 relative error 2.246063746447718e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6299999999999965 y[1] (closed_form) 0.38394498337569205 y[1] (numeric) 0.3839449833748029 absolute error 8.891776204222879e-13 relative error 2.315898524326396e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6199999999999964 y[1] (closed_form) 0.3722430866749279 y[1] (numeric) 0.3722430866740389 absolute error 8.890110869685941e-13 relative error 2.388254124232934e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6099999999999964 y[1] (closed_form) 0.36070396430903695 y[1] (numeric) 0.3607039643081478 absolute error 8.891776204222879e-13 relative error 2.4651174048657685e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5999999999999964 y[1] (closed_form) 0.34932877018063924 y[1] (numeric) 0.3493287701797503 absolute error 8.889555758173628e-13 relative error 2.544753400522037e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5899999999999964 y[1] (closed_form) 0.3381186417996691 y[1] (numeric) 0.33811864179878 absolute error 8.891221092710566e-13 relative error 2.6296157601326515e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5799999999999964 y[1] (closed_form) 0.32707470016962226 y[1] (numeric) 0.32707470016873313 absolute error 8.891221092710566e-13 relative error 2.7184068618268373e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5699999999999964 y[1] (closed_form) 0.3161980496754585 y[1] (numeric) 0.31619804967456955 absolute error 8.889555758173628e-13 relative error 2.81138854818926e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5599999999999964 y[1] (closed_form) 0.3054897779731639 y[1] (numeric) 0.3054897779722748 absolute error 8.891221092710566e-13 relative error 2.9104807210575883e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5499999999999964 y[1] (closed_form) 0.29495095588098463 y[1] (numeric) 0.2949509558800957 absolute error 8.889555758173628e-13 relative error 3.0139097978582733e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5399999999999964 y[1] (closed_form) 0.284582637272348 y[1] (numeric) 0.28458263727145894 absolute error 8.890665981198254e-13 relative error 3.12410696113193e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5299999999999964 y[1] (closed_form) 0.2743858589704744 y[1] (numeric) 0.2743858589695852 absolute error 8.892331315735191e-13 relative error 3.240812536440539e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5199999999999964 y[1] (closed_form) 0.26436164064469647 y[1] (numeric) 0.26436164064380746 absolute error 8.890110869685941e-13 relative error 3.3628596221470343e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5099999999999963 y[1] (closed_form) 0.254510984708494 y[1] (numeric) 0.25451098470760486 absolute error 8.891221092710566e-13 relative error 3.493452788646506e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.49999999999999634 y[1] (closed_form) 0.24483487621925104 y[1] (numeric) 0.24483487621836203 absolute error 8.890110869685941e-13 relative error 3.631063926417409e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4899999999999963 y[1] (closed_form) 0.23533428277975343 y[1] (numeric) 0.23533428277886453 absolute error 8.889000646661316e-13 relative error 3.777180503267527e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4799999999999963 y[1] (closed_form) 0.22601015444142813 y[1] (numeric) 0.22601015444053918 absolute error 8.889555758173628e-13 relative error 3.933255025706117e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4699999999999963 y[1] (closed_form) 0.21686342360933875 y[1] (numeric) 0.21686342360844973 absolute error 8.890110869685941e-13 relative error 4.0994053869133457e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4599999999999963 y[1] (closed_form) 0.2078950049489463 y[1] (numeric) 0.2078950049480572 absolute error 8.89094353695441e-13 relative error 4.27665086957611e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4499999999999963 y[1] (closed_form) 0.1991057952946429 y[1] (numeric) 0.19910579529375397 absolute error 8.889278202417472e-13 relative error 4.4646004347903806e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4399999999999963 y[1] (closed_form) 0.19049667356006994 y[1] (numeric) 0.19049667355918107 absolute error 8.88872309090516e-13 relative error 4.666077850489211e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4299999999999963 y[1] (closed_form) 0.18206850065022673 y[1] (numeric) 0.18206850064933774 absolute error 8.889833313929785e-13 relative error 4.882686067156732e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.41999999999999627 y[1] (closed_form) 0.17382211937538028 y[1] (numeric) 0.17382211937449152 absolute error 8.887612867880534e-13 relative error 5.113050571364368e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.40999999999999626 y[1] (closed_form) 0.16575835436678688 y[1] (numeric) 0.16575835436589792 absolute error 8.889555758173628e-13 relative error 5.362960915081838e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.39999999999999625 y[1] (closed_form) 0.15787801199422702 y[1] (numeric) 0.157878011993338 absolute error 8.890110869685941e-13 relative error 5.631000009051936e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.38999999999999624 y[1] (closed_form) 0.15018188028537116 y[1] (numeric) 0.15018188028448215 absolute error 8.890110869685941e-13 relative error 5.919562901192351e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.37999999999999623 y[1] (closed_form) 0.1426707288469765 y[1] (numeric) 0.14267072884608778 absolute error 8.887335312124378e-13 relative error 6.229263272115624e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3699999999999962 y[1] (closed_form) 0.1353453087879285 y[1] (numeric) 0.13534530878703946 absolute error 8.890388425442097e-13 relative error 6.568671278715967e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3599999999999962 y[1] (closed_form) 0.12820635264412772 y[1] (numeric) 0.12820635264323868 absolute error 8.890388425442097e-13 relative error 6.934436743645484e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3499999999999962 y[1] (closed_form) 0.12125457430523945 y[1] (numeric) 0.12125457430435062 absolute error 8.888306757270925e-13 relative error 7.330285730001411e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3399999999999962 y[1] (closed_form) 0.11449066894330506 y[1] (numeric) 0.11449066894241607 absolute error 8.889972091807863e-13 relative error 7.764800549999504e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3299999999999962 y[1] (closed_form) 0.10791531294322354 y[1] (numeric) 0.10791531294233467 absolute error 8.88872309090516e-13 relative error 8.236757924782833e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3199999999999962 y[1] (closed_form) 0.1015291638351159 y[1] (numeric) 0.10152916383422694 absolute error 8.889555758173628e-13 relative error 8.75566726089691e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.30999999999999617 y[1] (closed_form) 0.0953328602285709 y[1] (numeric) 0.09533286022768198 absolute error 8.889278202417472e-13 relative error 9.324463968776832e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.29999999999999616 y[1] (closed_form) 0.0893270217487857 y[1] (numeric) 0.08932702174789682 absolute error 8.888861868783238e-13 relative error 9.950921562997337e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.28999999999999615 y[1] (closed_form) 0.08351224897460341 y[1] (numeric) 0.08351224897371459 absolute error 8.888167979392847e-13 relative error 1.0642951289811144e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.27999999999999614 y[1] (closed_form) 0.07788912337845588 y[1] (numeric) 0.07788912337756711 absolute error 8.887751645758613e-13 relative error 1.141077375152095e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.26999999999999613 y[1] (closed_form) 0.07245820726821695 y[1] (numeric) 0.07245820726732805 absolute error 8.889000646661316e-13 relative error 1.2267762316775377e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2599999999999961 y[1] (closed_form) 0.06722004373097157 y[1] (numeric) 0.06722004373008268 absolute error 8.888861868783238e-13 relative error 1.3223528839639393e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.24999999999999611 y[1] (closed_form) 0.062175156578708535 y[1] (numeric) 0.06217515657781966 absolute error 8.88872309090516e-13 relative error 1.4296261690395232e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2399999999999961 y[1] (closed_form) 0.0573240502959389 y[1] (numeric) 0.057324050295050104 absolute error 8.88795981257573e-13 relative error 1.5504765917082091e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2299999999999961 y[1] (closed_form) 0.052667209989248565 y[1] (numeric) 0.05266720998835971 absolute error 8.888514924088042e-13 relative error 1.6876752966224214e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2199999999999961 y[1] (closed_form) 0.048205101338787415 y[1] (numeric) 0.048205101337898494 absolute error 8.889208813478433e-13 relative error 1.8440390262857684e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.20999999999999608 y[1] (closed_form) 0.043938170551701905 y[1] (numeric) 0.04393817055081306 absolute error 8.888445535149003e-13 relative error 2.022943928603035e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.19999999999999607 y[1] (closed_form) 0.039866844317515304 y[1] (numeric) 0.03986684431662637 absolute error 8.889347591356511e-13 relative error 2.2297595266277494e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.18999999999999606 y[1] (closed_form) 0.03599152976545783 y[1] (numeric) 0.035991529764569076 absolute error 8.887543478941495e-13 relative error 2.4693430751229536e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.17999999999999605 y[1] (closed_form) 0.03231261442375566 y[1] (numeric) 0.03231261442286697 absolute error 8.886918978490144e-13 relative error 2.7502940065278774e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.16999999999999604 y[1] (closed_form) 0.028830466180877146 y[1] (numeric) 0.02883046617998846 absolute error 8.886849589551105e-13 relative error 3.082450881576667e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.15999999999999603 y[1] (closed_form) 0.025545433248744698 y[1] (numeric) 0.025545433247856058 absolute error 8.886398561447351e-13 relative error 3.478664258663152e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.14999999999999603 y[1] (closed_form) 0.022457844127914295 y[1] (numeric) 0.022457844127025457 absolute error 8.888376146209964e-13 relative error 3.9578047187361285e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.13999999999999602 y[1] (closed_form) 0.019568007574724544 y[1] (numeric) 0.019568007573835762 absolute error 8.887821034697652e-13 relative error 4.5420163502889305e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.129999999999996 y[1] (closed_form) 0.016876212570422933 y[1] (numeric) 0.016876212569534112 absolute error 8.888202673862367e-13 relative error 5.2667046215332305e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.119999999999996 y[1] (closed_form) 0.014382728292266722 y[1] (numeric) 0.014382728291377765 absolute error 8.889573105408388e-13 relative error 6.1807279709150295e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.10999999999999599 y[1] (closed_form) 0.01208780408660548 y[1] (numeric) 0.01208780408571665 absolute error 8.888306757270925e-13 relative error 7.353119469499076e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.09999999999999598 y[1] (closed_form) 0.009991669443947693 y[1] (numeric) 0.009991669443058895 absolute error 8.88797715981049e-13 relative error 8.895387512238259e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] -0.08999999999999597 y[1] (closed_form) 0.008094533976010787 y[1] (numeric) 0.008094533975122001 absolute error 8.887855729167171e-13 relative error 1.0980070941091232e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.07999999999999596 y[1] (closed_form) 0.006396587394760789 y[1] (numeric) 0.006396587393871816 absolute error 8.889729230521226e-13 relative error 1.3897612401579128e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.06999999999999595 y[1] (closed_form) 0.004897999493440497 y[1] (numeric) 0.004897999492551515 absolute error 8.889815966695025e-13 relative error 1.8149891560014353e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.059999999999995945 y[1] (closed_form) 0.0035989201295912876 y[1] (numeric) 0.0035989201287024136 absolute error 8.888740438139919e-13 relative error 2.4698354278702405e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.04999999999999594 y[1] (closed_form) 0.0024994792100669905 y[1] (numeric) 0.0024994792091783333 absolute error 8.886572033794948e-13 relative error 3.5553694537658395e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.03999999999999593 y[1] (closed_form) 0.0015997866780437242 y[1] (numeric) 0.0015997866771550267 absolute error 8.886975357003113e-13 relative error 5.555100238658332e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.02999999999999592 y[1] (closed_form) 0.0008999325020245807 y[1] (numeric) 0.0008999325011359562 absolute error 8.88624568894103e-13 relative error 9.874346874848522e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] -0.01999999999999591 y[1] (closed_form) 0.0003999866668441543 y[1] (numeric) 0.00039998666595551357 absolute error 8.886407235064731e-13 relative error 2.2216758636425041e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.001 TOP MAIN SOLVE Loop x[1] -0.009999999999995901 y[1] (closed_form) 9.999916666947328e-05 y[1] (numeric) 9.999916578059669e-05 absolute error 8.888765916890973e-13 relative error 8.888839990308083e-07% Desired digits 8 Estimated correct digits 7 Correct digits 9 h 0.001 TOP MAIN SOLVE Loop x[1] 4.100886297209172e-15 y[1] (closed_form) 0.0 y[1] (numeric) -8.887657356168507e-13 absolute error 8.887657356168507e-13 relative error -1% Desired digits 8 Estimated correct digits 0 Correct digits -16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.010000000000004103 y[1] (closed_form) 9.999916666947328e-05 y[1] (numeric) 9.999916578076072e-05 absolute error 8.887125654529274e-13 relative error 8.887199714277463e-07% Desired digits 8 Estimated correct digits 7 Correct digits 9 h 0.001 TOP MAIN SOLVE Loop x[1] 0.02000000000000411 y[1] (closed_form) 0.0003999866668448204 y[1] (numeric) 0.00039998666595584154 absolute error 8.889788861640713e-13 relative error 2.222521298463584e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.001 TOP MAIN SOLVE Loop x[1] 0.03000000000000412 y[1] (closed_form) 0.0008999325020252469 y[1] (numeric) 0.0008999325011364481 absolute error 8.887988001832214e-13 relative error 9.876282923252914e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.04000000000000413 y[1] (closed_form) 0.0015997866780442793 y[1] (numeric) 0.0015997866771556826 absolute error 8.885967048982701e-13 relative error 5.554469962111257e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.05000000000000414 y[1] (closed_form) 0.0024994792100678787 y[1] (numeric) 0.0024994792091791525 absolute error 8.887261586376649e-13 relative error 3.555645332267155e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.06000000000000415 y[1] (closed_form) 0.0035989201295921758 y[1] (numeric) 0.003598920128703397 absolute error 8.887786340228132e-13 relative error 2.4695703211494396e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.07000000000000416 y[1] (closed_form) 0.004897999493441496 y[1] (numeric) 0.004897999492552661 absolute error 8.888350125357825e-13 relative error 1.8146898825243806e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.08000000000000417 y[1] (closed_form) 0.006396587394761788 y[1] (numeric) 0.006396587393873122 absolute error 8.886658769968747e-13 relative error 1.3892812247427584e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.09000000000000417 y[1] (closed_form) 0.008094533976012452 y[1] (numeric) 0.008094533975123469 absolute error 8.889833313929785e-13 relative error 1.0982514052413817e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000418 y[1] (closed_form) 0.009991669443949358 y[1] (numeric) 0.009991669443060524 absolute error 8.888341451740445e-13 relative error 8.895752107895189e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000419 y[1] (closed_form) 0.012087804086607257 y[1] (numeric) 0.012087804085718438 absolute error 8.888185326627607e-13 relative error 7.353019012340973e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1200000000000042 y[1] (closed_form) 0.01438272829226861 y[1] (numeric) 0.014382728291379716 absolute error 8.888931257722277e-13 relative error 6.180281708096018e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1300000000000042 y[1] (closed_form) 0.016876212570425042 y[1] (numeric) 0.016876212569536222 absolute error 8.888202673862367e-13 relative error 5.266704621532573e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1400000000000042 y[1] (closed_form) 0.019568007574726987 y[1] (numeric) 0.01956800757383804 absolute error 8.88945167476507e-13 relative error 4.542849669705882e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1500000000000042 y[1] (closed_form) 0.022457844127916626 y[1] (numeric) 0.022457844127027893 absolute error 8.887335312124378e-13 relative error 3.957341257470398e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000422 y[1] (closed_form) 0.025545433248747362 y[1] (numeric) 0.025545433247858646 absolute error 8.88716183977678e-13 relative error 3.4789630511404884e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000423 y[1] (closed_form) 0.02883046618087992 y[1] (numeric) 0.02883046617999121 absolute error 8.887127145307261e-13 relative error 3.082547153261474e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000424 y[1] (closed_form) 0.03231261442375866 y[1] (numeric) 0.03231261442286988 absolute error 8.887751645758613e-13 relative error 2.7505516976130755e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000425 y[1] (closed_form) 0.03599152976546094 y[1] (numeric) 0.03599152976457216 absolute error 8.887821034697652e-13 relative error 2.4694201920883053e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.20000000000000426 y[1] (closed_form) 0.039866844317518524 y[1] (numeric) 0.0398668443166296 absolute error 8.889208813478433e-13 relative error 2.229724716278154e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.21000000000000427 y[1] (closed_form) 0.043938170551705125 y[1] (numeric) 0.04393817055081646 absolute error 8.886641422733987e-13 relative error 2.0225333260692896e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.22000000000000428 y[1] (closed_form) 0.04820510133879097 y[1] (numeric) 0.048205101337902054 absolute error 8.889139424539394e-13 relative error 1.8440246317636603e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000428 y[1] (closed_form) 0.05266720998925223 y[1] (numeric) 0.05266720998836343 absolute error 8.88795981257573e-13 relative error 1.6875698967895757e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2400000000000043 y[1] (closed_form) 0.0573240502959429 y[1] (numeric) 0.05732405029505398 absolute error 8.889139424539394e-13 relative error 1.5506823712993151e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000043 y[1] (closed_form) 0.06217515657871253 y[1] (numeric) 0.06217515657782371 absolute error 8.888237368331886e-13 relative error 1.42954804739085e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000043 y[1] (closed_form) 0.0672200437309759 y[1] (numeric) 0.06722004373008691 absolute error 8.889833313929785e-13 relative error 1.3224974011484064e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2700000000000043 y[1] (closed_form) 0.07245820726822128 y[1] (numeric) 0.07245820726733242 absolute error 8.888584313027081e-13 relative error 1.2267187732265958e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2800000000000043 y[1] (closed_form) 0.07788912337846032 y[1] (numeric) 0.07788912337757163 absolute error 8.886918978490144e-13 relative error 1.1409704709743539e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2900000000000043 y[1] (closed_form) 0.08351224897460796 y[1] (numeric) 0.08351224897371927 absolute error 8.886918978490144e-13 relative error 1.0641455699740797e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3000000000000043 y[1] (closed_form) 0.08932702174879037 y[1] (numeric) 0.08932702174790164 absolute error 8.887335312124378e-13 relative error 9.949212610174958e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3100000000000043 y[1] (closed_form) 0.0953328602285759 y[1] (numeric) 0.09533286022768694 absolute error 8.889555758173628e-13 relative error 9.324755112622746e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.32000000000000434 y[1] (closed_form) 0.1015291638351209 y[1] (numeric) 0.10152916383423206 absolute error 8.888306757270925e-13 relative error 8.754437071603547e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.33000000000000435 y[1] (closed_form) 0.10791531294322887 y[1] (numeric) 0.10791531294233994 absolute error 8.889278202417472e-13 relative error 8.237272320281242e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.34000000000000435 y[1] (closed_form) 0.1144906689433105 y[1] (numeric) 0.11449066894242152 absolute error 8.889833313929785e-13 relative error 7.76467933673402e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.35000000000000436 y[1] (closed_form) 0.12125457430524511 y[1] (numeric) 0.12125457430435621 absolute error 8.889000646661316e-13 relative error 7.330857988321521e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.36000000000000437 y[1] (closed_form) 0.12820635264413316 y[1] (numeric) 0.12820635264324443 absolute error 8.887335312124378e-13 relative error 6.93205533800128e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000044 y[1] (closed_form) 0.13534530878793438 y[1] (numeric) 0.1353453087870454 absolute error 8.889833313929785e-13 relative error 6.56826113408837e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000044 y[1] (closed_form) 0.14267072884698273 y[1] (numeric) 0.14267072884609383 absolute error 8.889000646661316e-13 relative error 6.230430529443044e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3900000000000044 y[1] (closed_form) 0.15018188028537705 y[1] (numeric) 0.15018188028448828 absolute error 8.887612867880534e-13 relative error 5.917899583486509e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4000000000000044 y[1] (closed_form) 0.15787801199423335 y[1] (numeric) 0.15787801199334428 absolute error 8.890665981198254e-13 relative error 5.6313516169199e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4100000000000044 y[1] (closed_form) 0.1657583543667932 y[1] (numeric) 0.1657583543659043 absolute error 8.889000646661316e-13 relative error 5.362626023054964e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4200000000000044 y[1] (closed_form) 0.17382211937538716 y[1] (numeric) 0.17382211937449807 absolute error 8.89094353695441e-13 relative error 5.114966707863849e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000443 y[1] (closed_form) 0.1820685006502334 y[1] (numeric) 0.18206850064934446 absolute error 8.889278202417472e-13 relative error 4.882381175585343e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.44000000000000444 y[1] (closed_form) 0.19049667356007705 y[1] (numeric) 0.19049667355918798 absolute error 8.890665981198254e-13 relative error 4.667097758215919e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.45000000000000445 y[1] (closed_form) 0.19910579529465 y[1] (numeric) 0.19910579529376107 absolute error 8.889278202417472e-13 relative error 4.4646004347902214e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.46000000000000446 y[1] (closed_form) 0.2078950049489534 y[1] (numeric) 0.2078950049480645 absolute error 8.889000646661316e-13 relative error 4.2757163159566643e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000447 y[1] (closed_form) 0.21686342360934596 y[1] (numeric) 0.2168634236084572 absolute error 8.887612867880534e-13 relative error 4.098253509033652e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000045 y[1] (closed_form) 0.22601015444143568 y[1] (numeric) 0.2260101544405468 absolute error 8.88872309090516e-13 relative error 3.93288660541508e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000045 y[1] (closed_form) 0.23533428277976132 y[1] (numeric) 0.23533428277887228 absolute error 8.890388425442097e-13 relative error 3.777770208585465e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000044 y[1] (closed_form) 0.24483487621925892 y[1] (numeric) 0.24483487621836988 absolute error 8.890388425442097e-13 relative error 3.631177290885804e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000044 y[1] (closed_form) 0.254510984708502 y[1] (numeric) 0.2545109847076129 absolute error 8.890665981198254e-13 relative error 3.493234679587981e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000045 y[1] (closed_form) 0.2643616406447046 y[1] (numeric) 0.26436164064381573 absolute error 8.888445535149003e-13 relative error 3.362229676541784e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000045 y[1] (closed_form) 0.2743858589704824 y[1] (numeric) 0.27438585896959355 absolute error 8.888445535149003e-13 relative error 3.2393963626621137e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000045 y[1] (closed_form) 0.2845826372723562 y[1] (numeric) 0.28458263727146743 absolute error 8.887890423636691e-13 relative error 3.123131653014603e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000045 y[1] (closed_form) 0.2949509558809932 y[1] (numeric) 0.2949509558801043 absolute error 8.889000646661316e-13 relative error 3.0137215931749175e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000045 y[1] (closed_form) 0.30548977797317256 y[1] (numeric) 0.3054897779722836 absolute error 8.889555758173628e-13 relative error 2.909935585129231e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000045 y[1] (closed_form) 0.3161980496754673 y[1] (numeric) 0.31619804967457843 absolute error 8.888445535149003e-13 relative error 2.8110374318474576e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000045 y[1] (closed_form) 0.32707470016963114 y[1] (numeric) 0.3270747001687421 absolute error 8.890110869685941e-13 relative error 2.7180674216242504e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000045 y[1] (closed_form) 0.338118641799678 y[1] (numeric) 0.3381186417987891 absolute error 8.889000646661316e-13 relative error 2.628959053942876e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000045 y[1] (closed_form) 0.34932877018064845 y[1] (numeric) 0.34932877017975955 absolute error 8.889000646661316e-13 relative error 2.544594492478975e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000045 y[1] (closed_form) 0.36070396430904605 y[1] (numeric) 0.3607039643081571 absolute error 8.889555758173628e-13 relative error 2.464501818049658e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000045 y[1] (closed_form) 0.37224308667493744 y[1] (numeric) 0.37224308667404843 absolute error 8.890110869685941e-13 relative error 2.388254124232873e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000046 y[1] (closed_form) 0.3839449833757015 y[1] (numeric) 0.38394498337481264 absolute error 8.888445535149003e-13 relative error 2.3150310383014946e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000046 y[1] (closed_form) 0.3958084842314201 y[1] (numeric) 0.39580848423053117 absolute error 8.889555758173628e-13 relative error 2.245923498945543e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000046 y[1] (closed_form) 0.40783240290189393 y[1] (numeric) 0.40783240290100486 absolute error 8.890665981198254e-13 relative error 2.1799802855137398e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000046 y[1] (closed_form) 0.4200155370052753 y[1] (numeric) 0.42001553700438643 absolute error 8.888445535149003e-13 relative error 2.1162182710010955e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000046 y[1] (closed_form) 0.432356668238307 y[1] (numeric) 0.4323566682374181 absolute error 8.889000646661316e-13 relative error 2.0559416101712264e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000046 y[1] (closed_form) 0.4448545624981498 y[1] (numeric) 0.44485456249726085 absolute error 8.889555758173628e-13 relative error 1.998306077440894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000046 y[1] (closed_form) 0.4575079700057927 y[1] (numeric) 0.4575079700049036 absolute error 8.890665981198254e-13 relative error 1.943281115099631e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000046 y[1] (closed_form) 0.470315625431029 y[1] (numeric) 0.47031562543014005 absolute error 8.889555758173628e-13 relative error 1.8901255406997458e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000046 y[1] (closed_form) 0.4832762480189895 y[1] (numeric) 0.48327624801810065 absolute error 8.888445535149003e-13 relative error 1.839205955513822e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000046 y[1] (closed_form) 0.4963885417182161 y[1] (numeric) 0.49638854171732705 absolute error 8.890665981198254e-13 relative error 1.7910699450119863e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000046 y[1] (closed_form) 0.5096511953102655 y[1] (numeric) 0.5096511953093763 absolute error 8.891776204222879e-13 relative error 1.7446787697240153e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000047 y[1] (closed_form) 0.5230628825408306 y[1] (numeric) 0.5230628825399413 absolute error 8.892886427247504e-13 relative error 1.7001562764403035e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000047 y[1] (closed_form) 0.5366222622523646 y[1] (numeric) 0.5366222622514755 absolute error 8.891776204222879e-13 relative error 1.6569898100949868e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000047 y[1] (closed_form) 0.550327978518196 y[1] (numeric) 0.5503279785173072 absolute error 8.888445535149003e-13 relative error 1.6151178719064737e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000047 y[1] (closed_form) 0.5641786607781198 y[1] (numeric) 0.5641786607772308 absolute error 8.890665981198254e-13 relative error 1.5758600243646532e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000047 y[1] (closed_form) 0.578172923975452 y[1] (numeric) 0.5781729239745629 absolute error 8.890665981198254e-13 relative error 1.5377174565815077e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000047 y[1] (closed_form) 0.5923093686955346 y[1] (numeric) 0.5923093686946456 absolute error 8.890665981198254e-13 relative error 1.501017281016254e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000047 y[1] (closed_form) 0.6065865813056758 y[1] (numeric) 0.6065865813047869 absolute error 8.888445535149003e-13 relative error 1.4653218203437095e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000047 y[1] (closed_form) 0.6210031340965126 y[1] (numeric) 0.6210031340956238 absolute error 8.888445535149003e-13 relative error 1.4313044567932267e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000047 y[1] (closed_form) 0.63555758542478 y[1] (numeric) 0.6355575854238908 absolute error 8.891776204222879e-13 relative error 1.3990512281086204e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000047 y[1] (closed_form) 0.6502484798574728 y[1] (numeric) 0.6502484798565838 absolute error 8.889555758173628e-13 relative error 1.3671013517974112e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000047 y[1] (closed_form) 0.6650743483173908 y[1] (numeric) 0.6650743483165019 absolute error 8.888445535149003e-13 relative error 1.3364589323940075e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000048 y[1] (closed_form) 0.6800337082300426 y[1] (numeric) 0.6800337082291539 absolute error 8.887335312124378e-13 relative error 1.3068962912523683e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000048 y[1] (closed_form) 0.6951250636719034 y[1] (numeric) 0.6951250636710146 absolute error 8.888445535149003e-13 relative error 1.2786829305502238e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000048 y[1] (closed_form) 0.710346905520005 y[1] (numeric) 0.710346905519116 absolute error 8.890665981198254e-13 relative error 1.2515949477797607e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000048 y[1] (closed_form) 0.725697711602847 y[1] (numeric) 0.7256977116019581 absolute error 8.889555758173628e-13 relative error 1.2249667617856041e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000048 y[1] (closed_form) 0.7411759468526138 y[1] (numeric) 0.7411759468517247 absolute error 8.890665981198254e-13 relative error 1.199535146674991e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000048 y[1] (closed_form) 0.7567800634586784 y[1] (numeric) 0.7567800634577896 absolute error 8.888445535149003e-13 relative error 1.1745084158964937e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000048 y[1] (closed_form) 0.7725085010223846 y[1] (numeric) 0.7725085010214954 absolute error 8.891776204222879e-13 relative error 1.1510263242999868e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000048 y[1] (closed_form) 0.7883596867130819 y[1] (numeric) 0.7883596867121927 absolute error 8.891776204222879e-13 relative error 1.1278831673008896e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000048 y[1] (closed_form) 0.8043320354254114 y[1] (numeric) 0.8043320354245219 absolute error 8.895106873296754e-13 relative error 1.1058998624358074e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000048 y[1] (closed_form) 0.8204239499378114 y[1] (numeric) 0.8204239499369219 absolute error 8.895106873296754e-13 relative error 1.0842085819131691e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000048 y[1] (closed_form) 0.8366338210722408 y[1] (numeric) 0.8366338210713515 absolute error 8.892886427247504e-13 relative error 1.0629365205258216e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000048 y[1] (closed_form) 0.8529600278550946 y[1] (numeric) 0.8529600278542053 absolute error 8.892886427247504e-13 relative error 1.0425912278222578e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000049 y[1] (closed_form) 0.8694009376792994 y[1] (numeric) 0.8694009376784101 absolute error 8.892886427247504e-13 relative error 1.0228751824199057e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000049 y[1] (closed_form) 0.8859549064675737 y[1] (numeric) 0.8859549064666841 absolute error 8.896217096321379e-13 relative error 1.0041388146708102e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000049 y[1] (closed_form) 0.9026202788368329 y[1] (numeric) 0.9026202788359435 absolute error 8.893996650272129e-13 relative error 9.853530724717853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000049 y[1] (closed_form) 0.9193953882637286 y[1] (numeric) 0.9193953882628393 absolute error 8.892886427247504e-13 relative error 9.672537561931493e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0100000000000038 y[1] (closed_form) 0.9362785572512955 y[1] (numeric) 0.9362785572504079 absolute error 8.876233081878127e-13 relative error 9.480333617739536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0200000000000027 y[1] (closed_form) 0.9532680974967054 y[1] (numeric) 0.9532680974958198 absolute error 8.856249067434874e-13 relative error 9.290407484202504e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0300000000000016 y[1] (closed_form) 0.970362310060092 y[1] (numeric) 0.9703623100592083 absolute error 8.837375276016246e-13 relative error 9.107294444967643e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y[1] (closed_form) 0.987559485534444 y[1] (numeric) 0.9875594855335622 absolute error 8.817391261572993e-13 relative error 8.928465971648511e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999994 y[1] (closed_form) 1.004857904216545 y[1] (numeric) 1.0048579042156651 absolute error 8.799627693178991e-13 relative error 8.757086605234771e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999983 y[1] (closed_form) 1.022255836278942 y[1] (numeric) 1.022255836278064 absolute error 8.779643678735738e-13 relative error 8.588499441288633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999972 y[1] (closed_form) 1.0397515419429268 y[1] (numeric) 1.0397515419420507 absolute error 8.761880110341735e-13 relative error 8.426897924064521e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.079999999999996 y[1] (closed_form) 1.0573432716525133 y[1] (numeric) 1.0573432716516387 absolute error 8.746336987996983e-13 relative error 8.271993800393133e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.089999999999995 y[1] (closed_form) 1.0750292662493894 y[1] (numeric) 1.0750292662485168 absolute error 8.72635297355373e-13 relative error 8.11731666059532e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999939 y[1] (closed_form) 1.0928077571488344 y[1] (numeric) 1.0928077571479635 absolute error 8.708589405159728e-13 relative error 7.969004015748093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999928 y[1] (closed_form) 1.1106769665165732 y[1] (numeric) 1.1106769665157044 absolute error 8.688605390716475e-13 relative error 7.822801455914433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999917 y[1] (closed_form) 1.1286351074465606 y[1] (numeric) 1.1286351074456937 absolute error 8.668621376273222e-13 relative error 7.680623541726634e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999906 y[1] (closed_form) 1.1466803841396684 y[1] (numeric) 1.1466803841388034 absolute error 8.65085780787922e-13 relative error 7.544262488077519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999895 y[1] (closed_form) 1.1648109920832646 y[1] (numeric) 1.164810992082402 absolute error 8.626432901337466e-13 relative error 7.405864951453704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999884 y[1] (closed_form) 1.1830251182316642 y[1] (numeric) 1.1830251182308036 absolute error 8.606448886894214e-13 relative error 7.274950256135532e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999873 y[1] (closed_form) 1.2013209411874302 y[1] (numeric) 1.2013209411865717 absolute error 8.58424442640171e-13 relative error 7.14567117919107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999862 y[1] (closed_form) 1.2196966313835143 y[1] (numeric) 1.2196966313826578 absolute error 8.564260411958458e-13 relative error 7.02163160215006e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.179999999999985 y[1] (closed_form) 1.238150351266209 y[1] (numeric) 1.2381503512653544 absolute error 8.546496843564455e-13 relative error 6.902632491138317e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999984 y[1] (closed_form) 1.2566802554789045 y[1] (numeric) 1.2566802554780516 absolute error 8.528733275170453e-13 relative error 6.786717017305459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999829 y[1] (closed_form) 1.2752844910466208 y[1] (numeric) 1.2752844910457701 absolute error 8.506528814677949e-13 relative error 6.670298960270955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999818 y[1] (closed_form) 1.2939611975613055 y[1] (numeric) 1.2939611975604566 absolute error 8.488765246283947e-13 relative error 6.560293509791869e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999807 y[1] (closed_form) 1.3127085073678697 y[1] (numeric) 1.312708507367023 absolute error 8.466560785791444e-13 relative error 6.449688364378672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999796 y[1] (closed_form) 1.3315245457509564 y[1] (numeric) 1.3315245457501115 absolute error 8.448797217397441e-13 relative error 6.345205760087937e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999785 y[1] (closed_form) 1.3504074311224068 y[1] (numeric) 1.3504074311215644 absolute error 8.424372310855688e-13 relative error 6.238393033614806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999774 y[1] (closed_form) 1.3693552752094198 y[1] (numeric) 1.3693552752085791 absolute error 8.406608742461685e-13 relative error 6.139099833807583e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999763 y[1] (closed_form) 1.388366183243376 y[1] (numeric) 1.3883661832425378 absolute error 8.382183835919932e-13 relative error 6.037444542432047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999751 y[1] (closed_form) 1.407438254149315 y[1] (numeric) 1.4074382541484791 absolute error 8.357758929378178e-13 relative error 5.938277508614247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.279999999999974 y[1] (closed_form) 1.4265695807360395 y[1] (numeric) 1.4265695807352055 absolute error 8.339995360984176e-13 relative error 5.846188979216247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999973 y[1] (closed_form) 1.4457582498868327 y[1] (numeric) 1.4457582498860015 absolute error 8.311129562343922e-13 relative error 5.7486302173924855e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999718 y[1] (closed_form) 1.465002342750771 y[1] (numeric) 1.465002342749942 absolute error 8.291145547900669e-13 relative error 5.6594759652962374e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999707 y[1] (closed_form) 1.484299934934604 y[1] (numeric) 1.4842999349337775 absolute error 8.264500195309665e-13 relative error 5.5679448612748114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999696 y[1] (closed_form) 1.5036490966951952 y[1] (numeric) 1.5036490966943705 absolute error 8.246736626915663e-13 relative error 5.484482147490931e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999685 y[1] (closed_form) 1.5230478931324924 y[1] (numeric) 1.5230478931316702 absolute error 8.222311720373909e-13 relative error 5.39859039065598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999674 y[1] (closed_form) 1.5424943843830174 y[1] (numeric) 1.5424943843821974 absolute error 8.200107259881406e-13 relative error 5.316134271154166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999663 y[1] (closed_form) 1.561986625813851 y[1] (numeric) 1.5619866258130328 absolute error 8.182343691487404e-13 relative error 5.2384210954585534e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999652 y[1] (closed_form) 1.5815226682170933 y[1] (numeric) 1.5815226682162775 absolute error 8.15791878494565e-13 relative error 5.158268641285023e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999641 y[1] (closed_form) 1.601100558004784 y[1] (numeric) 1.6011005580039703 absolute error 8.135714324453147e-13 relative error 5.081326268845656e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.379999999999963 y[1] (closed_form) 1.6207183374042589 y[1] (numeric) 1.6207183374034473 absolute error 8.115730310009894e-13 relative error 5.007489656103997e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999962 y[1] (closed_form) 1.6403740446539263 y[1] (numeric) 1.640374044653117 absolute error 8.093525849517391e-13 relative error 4.9339514215642824e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999608 y[1] (closed_form) 1.6600657141994408 y[1] (numeric) 1.6600657141986335 absolute error 8.073541835074138e-13 relative error 4.863386892468632e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999597 y[1] (closed_form) 1.679791376890258 y[1] (numeric) 1.6797913768894523 absolute error 8.055778266680136e-13 relative error 4.795701643375221e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999586 y[1] (closed_form) 1.6995490601765466 y[1] (numeric) 1.6995490601757428 absolute error 8.038014698286133e-13 relative error 4.729498480880073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999575 y[1] (closed_form) 1.7193367883064425 y[1] (numeric) 1.7193367883056414 absolute error 8.01136934569513e-13 relative error 4.659569550411574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999564 y[1] (closed_form) 1.7391525825236225 y[1] (numeric) 1.7391525825228236 absolute error 7.989164885202626e-13 relative error 4.5937113083027096e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999553 y[1] (closed_form) 1.758994461265178 y[1] (numeric) 1.758994461264381 absolute error 7.969180870759374e-13 relative error 4.530532100156498e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999542 y[1] (closed_form) 1.7788604403597699 y[1] (numeric) 1.778860440358975 absolute error 7.949196856316121e-13 relative error 4.4687018025474876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999531 y[1] (closed_form) 1.7987485332260431 y[1] (numeric) 1.7987485332252504 absolute error 7.926992395823618e-13 relative error 4.406948636453708e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.479999999999952 y[1] (closed_form) 1.818656751071285 y[1] (numeric) 1.818656751070494 absolute error 7.909228827429615e-13 relative error 4.3489398550719705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999951 y[1] (closed_form) 1.838583103090301 y[1] (numeric) 1.8385831030895123 absolute error 7.887024366937112e-13 relative error 4.289729604106856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999498 y[1] (closed_form) 1.858525596664494 y[1] (numeric) 1.8585255966637078 absolute error 7.862599460395359e-13 relative error 4.230557531468175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999487 y[1] (closed_form) 1.8784822375611259 y[1] (numeric) 1.8784822375603416 absolute error 7.842615445952106e-13 relative error 4.1749745028914104e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999476 y[1] (closed_form) 1.8984510301327369 y[1] (numeric) 1.8984510301319548 absolute error 7.820410985459603e-13 relative error 4.1193640822606895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999465 y[1] (closed_form) 1.9184299775167108 y[1] (numeric) 1.918429977515931 absolute error 7.7982065249671e-13 relative error 4.064889840316922e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999454 y[1] (closed_form) 1.9384170818349586 y[1] (numeric) 1.9384170818341808 absolute error 7.778222510523847e-13 relative error 4.012667131039089e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999443 y[1] (closed_form) 1.9584103443937035 y[1] (numeric) 1.9584103443929282 absolute error 7.753797603982093e-13 relative error 3.959230314616501e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999432 y[1] (closed_form) 1.9784077658833517 y[1] (numeric) 1.9784077658825783 absolute error 7.73381358953884e-13 relative error 3.909110003966104e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999942 y[1] (closed_form) 1.9984073465784178 y[1] (numeric) 1.9984073465776464 absolute error 7.713829575095588e-13 relative error 3.859988599572983e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.579999999999941 y[1] (closed_form) 2.018407086537499 y[1] (numeric) 2.018407086536729 absolute error 7.696066006701585e-13 relative error 3.8129404410206944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.58999999999994 y[1] (closed_form) 2.0384049858032647 y[1] (numeric) 2.0384049858024977 absolute error 7.669420654110581e-13 relative error 3.762461683289265e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999388 y[1] (closed_form) 2.0583990446024547 y[1] (numeric) 2.05839904460169 absolute error 7.647216193618078e-13 relative error 3.715128130121635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999377 y[1] (closed_form) 2.078387263545851 y[1] (numeric) 2.078387263545088 absolute error 7.629452625224076e-13 relative error 3.670852280054767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999366 y[1] (closed_form) 2.0983676438282144 y[1] (numeric) 2.0983676438274537 absolute error 7.607248164731573e-13 relative error 3.625317130249436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999355 y[1] (closed_form) 2.1183381874281677 y[1] (numeric) 2.118338187427409 absolute error 7.585043704239069e-13 relative error 3.580657587751803e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999344 y[1] (closed_form) 2.1382968973079928 y[1] (numeric) 2.138296897307237 absolute error 7.558398351648066e-13 relative error 3.5347749702876646e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999333 y[1] (closed_form) 2.158241777613335 y[1] (numeric) 2.15824177761258 absolute error 7.549516567451064e-13 relative error 3.4979938975139315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999322 y[1] (closed_form) 2.178170833872783 y[1] (numeric) 2.1781708338720303 absolute error 7.527312106958561e-13 relative error 3.4557951056460603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.669999999999931 y[1] (closed_form) 2.1980820731973187 y[1] (numeric) 2.1980820731965687 absolute error 7.500666754367558e-13 relative error 3.4123688309131816e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.67999999999993 y[1] (closed_form) 2.2179735044796036 y[1] (numeric) 2.217973504478855 absolute error 7.487344078072056e-13 relative error 3.375759026404054e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999929 y[1] (closed_form) 2.2378431385930835 y[1] (numeric) 2.237843138592338 absolute error 7.456257833382551e-13 relative error 3.331894762771554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999278 y[1] (closed_form) 2.257688988590906 y[1] (numeric) 2.2576889885901634 absolute error 7.425171588693047e-13 relative error 3.2888372252403675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999267 y[1] (closed_form) 2.2775090699046103 y[1] (numeric) 2.2775090699038687 absolute error 7.416289804496046e-13 relative error 3.2563162546732094e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999256 y[1] (closed_form) 2.2973014005425805 y[1] (numeric) 2.297301400541841 absolute error 7.394085344003543e-13 relative error 3.218596106830908e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999245 y[1] (closed_form) 2.317064001288246 y[1] (numeric) 2.317064001287509 absolute error 7.371880883511039e-13 relative error 3.181561182346455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999234 y[1] (closed_form) 2.336794895898003 y[1] (numeric) 2.3367948958972673 absolute error 7.358558207215538e-13 relative error 3.148996182819772e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999223 y[1] (closed_form) 2.356492111298831 y[1] (numeric) 2.356492111298098 absolute error 7.327471962526033e-13 relative error 3.1094829163197754e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999212 y[1] (closed_form) 2.376153677785606 y[1] (numeric) 2.3761536777848753 absolute error 7.30526750203353e-13 relative error 3.074408684223439e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.76999999999992 y[1] (closed_form) 2.3957776292180615 y[1] (numeric) 2.395777629217333 absolute error 7.283063041541027e-13 relative error 3.039957862833074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999919 y[1] (closed_form) 2.4153620032174095 y[1] (numeric) 2.4153620032166825 absolute error 7.269740365245525e-13 relative error 3.009793296227144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999179 y[1] (closed_form) 2.4349048413625685 y[1] (numeric) 2.434904841361845 absolute error 7.23421322845752e-13 relative error 2.971045564314237e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999168 y[1] (closed_form) 2.454404189386012 y[1] (numeric) 2.45440418938529 absolute error 7.220890552162018e-13 relative error 2.9420136191864874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999157 y[1] (closed_form) 2.4738580973691855 y[1] (numeric) 2.473858097368466 absolute error 7.194245199571014e-13 relative error 2.908107464701272e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999146 y[1] (closed_form) 2.493264619937502 y[1] (numeric) 2.4932646199367854 absolute error 7.167599846980011e-13 relative error 2.8747850467471353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999135 y[1] (closed_form) 2.512621816454878 y[1] (numeric) 2.512621816454163 absolute error 7.149836278586008e-13 relative error 2.8455680165485044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999124 y[1] (closed_form) 2.5319277512177916 y[1] (numeric) 2.5319277512170792 absolute error 7.123190925995004e-13 relative error 2.8133468352597875e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999113 y[1] (closed_form) 2.5511804936488556 y[1] (numeric) 2.5511804936481455 absolute error 7.100986465502501e-13 relative error 2.78341202560162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999102 y[1] (closed_form) 2.5703781184898693 y[1] (numeric) 2.570378118489162 absolute error 7.074341112911497e-13 relative error 2.7522569780775156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.869999999999909 y[1] (closed_form) 2.5895187059943483 y[1] (numeric) 2.589518705993643 absolute error 7.052136652418994e-13 relative error 2.7233387563852514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999908 y[1] (closed_form) 2.608600342119491 y[1] (numeric) 2.608600342118788 absolute error 7.029932191926491e-13 relative error 2.6949058000255657e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999069 y[1] (closed_form) 2.627621118717588 y[1] (numeric) 2.627621118716886 absolute error 7.02105040772949e-13 relative error 2.6720178026107955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999058 y[1] (closed_form) 2.6465791337268287 y[1] (numeric) 2.646579133726129 absolute error 6.998845947236987e-13 relative error 2.6444876928283773e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999047 y[1] (closed_form) 2.665472491361511 y[1] (numeric) 2.6654724913608128 absolute error 6.981082378842984e-13 relative error 2.6190787567562104e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999999036 y[1] (closed_form) 2.684299302301615 y[1] (numeric) 2.6842993023009196 absolute error 6.954437026251981e-13 relative error 2.5907830100350565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999999025 y[1] (closed_form) 2.7030576838817373 y[1] (numeric) 2.7030576838810436 absolute error 6.936673457857978e-13 relative error 2.5662321226887542e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999999014 y[1] (closed_form) 2.721745760279351 y[1] (numeric) 2.721745760278659 absolute error 6.918909889463976e-13 relative error 2.5420853007056183e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999999003 y[1] (closed_form) 2.740361662702389 y[1] (numeric) 2.7403616627016985 absolute error 6.905587213168474e-13 relative error 2.5199546859660034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998992 y[1] (closed_form) 2.7589035295761226 y[1] (numeric) 2.758903529575434 absolute error 6.887823644774471e-13 relative error 2.496580098193109e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.969999999999898 y[1] (closed_form) 2.7773695067293165 y[1] (numeric) 2.777369506728629 absolute error 6.874500968478969e-13 relative error 2.4751841452218266e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999897 y[1] (closed_form) 2.7957577475796427 y[1] (numeric) 2.795757747578958 absolute error 6.847855615887966e-13 relative error 2.4493737419904586e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998959 y[1] (closed_form) 2.814066413318341 y[1] (numeric) 2.8140664133176574 absolute error 6.834532939592464e-13 relative error 2.428703497275744e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998948 y[1] (closed_form) 2.8322936730940933 y[1] (numeric) 2.832293673093412 absolute error 6.812328479099961e-13 relative error 2.4052338017822646e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998936 y[1] (closed_form) 2.8504377041961124 y[1] (numeric) 2.850437704195433 absolute error 6.794564910705958e-13 relative error 2.383691775022383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998925 y[1] (closed_form) 2.8684966922364072 y[1] (numeric) 2.8684966922357304 absolute error 6.767919558114954e-13 relative error 2.3593959778417537e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998914 y[1] (closed_form) 2.8864688313312232 y[1] (numeric) 2.886468831330549 absolute error 6.741274205523951e-13 relative error 2.335474449732725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998903 y[1] (closed_form) 2.9043523242816285 y[1] (numeric) 2.9043523242809557 absolute error 6.727951529228449e-13 relative error 2.3165066693113965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998892 y[1] (closed_form) 2.9221453827532295 y[1] (numeric) 2.922145382752559 absolute error 6.705747068735946e-13 relative error 2.294802684463915e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999888 y[1] (closed_form) 2.939846227455007 y[1] (numeric) 2.9398462274543387 absolute error 6.683542608243442e-13 relative error 2.273432721013205e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999887 y[1] (closed_form) 2.9574530883172416 y[1] (numeric) 2.9574530883165755 absolute error 6.661338147750939e-13 relative error 2.2523901305704793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999886 y[1] (closed_form) 2.9749642046685194 y[1] (numeric) 2.9749642046678555 absolute error 6.639133687258436e-13 relative error 2.231668427082198e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999885 y[1] (closed_form) 2.992377825411798 y[1] (numeric) 2.9923778254111366 absolute error 6.612488334667432e-13 relative error 2.2097772141315245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998837 y[1] (closed_form) 3.009692209199514 y[1] (numeric) 3.0096922091988545 absolute error 6.59472476627343e-13 relative error 2.1911625202456913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998826 y[1] (closed_form) 3.0269056246077177 y[1] (numeric) 3.02690562460706 absolute error 6.576961197879427e-13 relative error 2.17283325400401e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998815 y[1] (closed_form) 3.044016350309212 y[1] (numeric) 3.044016350308557 absolute error 6.550315845288424e-13 relative error 2.151866183183622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998804 y[1] (closed_form) 3.0610226752456873 y[1] (numeric) 3.0610226752450336 absolute error 6.536993168992922e-13 relative error 2.1355585575556844e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998793 y[1] (closed_form) 3.0779228987988194 y[1] (numeric) 3.077922898798168 absolute error 6.514788708500419e-13 relative error 2.1166185517651725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998782 y[1] (closed_form) 3.094715330960338 y[1] (numeric) 3.0947153309596898 absolute error 6.483702463810914e-13 relative error 2.095088488090089e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999877 y[1] (closed_form) 3.111398292501021 y[1] (numeric) 3.1113982925003745 absolute error 6.465938895416912e-13 relative error 2.0781456719960546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999876 y[1] (closed_form) 3.1279701151386154 y[1] (numeric) 3.1279701151379706 absolute error 6.448175327022909e-13 relative error 2.0614568201324262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999875 y[1] (closed_form) 3.144429141704668 y[1] (numeric) 3.144429141704026 absolute error 6.421529974431905e-13 relative error 2.0421926159069513e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999874 y[1] (closed_form) 3.1607737263102385 y[1] (numeric) 3.1607737263095976 absolute error 6.408207298136404e-13 relative error 2.027417288619736e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998727 y[1] (closed_form) 3.1770022345104856 y[1] (numeric) 3.177002234509846 absolute error 6.394884621840902e-13 relative error 2.0128675241005078e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998716 y[1] (closed_form) 3.193113043468114 y[1] (numeric) 3.1931130434674766 absolute error 6.372680161348399e-13 relative error 1.9957577682332484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998705 y[1] (closed_form) 3.2091045421156528 y[1] (numeric) 3.209104542115017 absolute error 6.359357485052897e-13 relative error 1.9816610526687267e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998694 y[1] (closed_form) 3.2249751313165635 y[1] (numeric) 3.22497513131593 absolute error 6.337153024560394e-13 relative error 1.9650238425166754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998683 y[1] (closed_form) 3.240723224025153 y[1] (numeric) 3.2407232240245203 absolute error 6.328271240363392e-13 relative error 1.9527342518634893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999867 y[1] (closed_form) 3.256347245445271 y[1] (numeric) 3.2563472454446414 absolute error 6.297184995673888e-13 relative error 1.9338186381940403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999866 y[1] (closed_form) 3.271845633187798 y[1] (numeric) 3.27184563318717 absolute error 6.279421427279885e-13 relative error 1.919229123643517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999865 y[1] (closed_form) 3.2872168374268744 y[1] (numeric) 3.287216837426248 absolute error 6.266098750984384e-13 relative error 1.9062018299618106e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999864 y[1] (closed_form) 3.3024593210548847 y[1] (numeric) 3.3024593210542603 absolute error 6.24389429049188e-13 relative error 1.890680151814082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999863 y[1] (closed_form) 3.3175715598361695 y[1] (numeric) 3.3175715598355464 absolute error 6.230571614196379e-13 relative error 1.8780519129191176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998617 y[1] (closed_form) 3.332552042559442 y[1] (numeric) 3.332552042558821 absolute error 6.208367153703875e-13 relative error 1.8629467970545993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998606 y[1] (closed_form) 3.347399271188916 y[1] (numeric) 3.3473992711882965 absolute error 6.195044477408373e-13 relative error 1.850703777923702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998595 y[1] (closed_form) 3.3621117610140994 y[1] (numeric) 3.3621117610134816 absolute error 6.177280909014371e-13 relative error 1.83732170377083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998584 y[1] (closed_form) 3.376688040798271 y[1] (numeric) 3.376688040797655 absolute error 6.159517340620368e-13 relative error 1.8241298177975062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998573 y[1] (closed_form) 3.3911266529255997 y[1] (numeric) 3.3911266529249846 absolute error 6.150635556423367e-13 relative error 1.8137439812568127e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999856 y[1] (closed_form) 3.4054261535469035 y[1] (numeric) 3.4054261535462897 absolute error 6.137312880127865e-13 relative error 1.802215817757663e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999855 y[1] (closed_form) 3.419585112724037 y[1] (numeric) 3.419585112723425 absolute error 6.119549311733863e-13 relative error 1.7895589991205213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999854 y[1] (closed_form) 3.4336021145728823 y[1] (numeric) 3.4336021145722717 absolute error 6.106226635438361e-13 relative error 1.778373390883683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999853 y[1] (closed_form) 3.447475757404934 y[1] (numeric) 3.4474757574043253 absolute error 6.088463067044358e-13 relative error 1.766064069911665e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999852 y[1] (closed_form) 3.4612046538674717 y[1] (numeric) 3.461204653866864 absolute error 6.075140390748857e-13 relative error 1.755209818050092e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998507 y[1] (closed_form) 3.474787431082289 y[1] (numeric) 3.4747874310816833 absolute error 6.057376822354854e-13 relative error 1.743236656196885e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998496 y[1] (closed_form) 3.488222730782984 y[1] (numeric) 3.4882227307823794 absolute error 6.044054146059352e-13 relative error 1.7327030446541105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998485 y[1] (closed_form) 3.5015092094507816 y[1] (numeric) 3.501509209450179 absolute error 6.02629057766535e-13 relative error 1.7210551842616988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998474 y[1] (closed_form) 3.514645538448888 y[1] (numeric) 3.514645538448287 absolute error 6.008527009271347e-13 relative error 1.7095684169400138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998463 y[1] (closed_form) 3.5276304041553495 y[1] (numeric) 3.52763040415475 absolute error 5.995204332975845e-13 relative error 1.6994989968092557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999845 y[1] (closed_form) 3.540462508094417 y[1] (numeric) 3.540462508093818 absolute error 5.990763440877345e-13 relative error 1.6920849824509944e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999844 y[1] (closed_form) 3.5531405670663894 y[1] (numeric) 3.5531405670657925 absolute error 5.968558980384842e-13 relative error 1.6797981582002864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999843 y[1] (closed_form) 3.5656633132759348 y[1] (numeric) 3.5656633132753393 absolute error 5.95523630408934e-13 relative error 1.670162261791901e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999842 y[1] (closed_form) 3.5780294944588675 y[1] (numeric) 3.5780294944582733 absolute error 5.941913627793838e-13 relative error 1.6606664749398546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999841 y[1] (closed_form) 3.590237874007375 y[1] (numeric) 3.590237874006782 absolute error 5.928590951498336e-13 relative error 1.6513086763470975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998397 y[1] (closed_form) 3.6022872310936753 y[1] (numeric) 3.6022872310930842 absolute error 5.910827383104333e-13 relative error 1.6408539918983005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998386 y[1] (closed_form) 3.6141763607921016 y[1] (numeric) 3.6141763607915114 absolute error 5.901945598907332e-13 relative error 1.6329987830515917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998375 y[1] (closed_form) 3.6259040741995907 y[1] (numeric) 3.6259040741990014 absolute error 5.893063814710331e-13 relative error 1.6252674351323566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998364 y[1] (closed_form) 3.6374691985545757 y[1] (numeric) 3.6374691985539873 absolute error 5.88418203051333e-13 relative error 1.617658242398735e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998353 y[1] (closed_form) 3.6488705773542582 y[1] (numeric) 3.648870577353671 absolute error 5.870859354217828e-13 relative error 1.6089524771455997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.549999999999834 y[1] (closed_form) 3.660107070470259 y[1] (numeric) 3.6601070704696737 absolute error 5.853095785823825e-13 relative error 1.599159716677853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999833 y[1] (closed_form) 3.6711775542626324 y[1] (numeric) 3.6711775542620475 absolute error 5.848654893725325e-13 relative error 1.5931277654861466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999832 y[1] (closed_form) 3.6820809216922212 y[1] (numeric) 3.6820809216916386 absolute error 5.826450433232822e-13 relative error 1.5823797893488675e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999831 y[1] (closed_form) 3.6928160824313707 y[1] (numeric) 3.692816082430789 absolute error 5.81756864903582e-13 relative error 1.5753745973738015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998298 y[1] (closed_form) 3.703381962972953 y[1] (numeric) 3.7033819629723723 absolute error 5.808686864838819e-13 relative error 1.5684817075081817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998287 y[1] (closed_form) 3.713777506737718 y[1] (numeric) 3.7137775067371384 absolute error 5.795364188543317e-13 relative error 1.560503874566821e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998276 y[1] (closed_form) 3.724001674179952 y[1] (numeric) 3.7240016741793744 absolute error 5.777600620149315e-13 relative error 1.551449522756076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998265 y[1] (closed_form) 3.7340534428914314 y[1] (numeric) 3.7340534428908554 absolute error 5.759837051755312e-13 relative error 1.542515965517417e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998254 y[1] (closed_form) 3.743931807703662 y[1] (numeric) 3.7439318077030865 absolute error 5.755396159656812e-13 relative error 1.5372598795240557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998243 y[1] (closed_form) 3.753635780788394 y[1] (numeric) 3.7536357807878193 absolute error 5.74651437545981e-13 relative error 1.5309195433587973e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999823 y[1] (closed_form) 3.763164391756405 y[1] (numeric) 3.7631643917558315 absolute error 5.733191699164308e-13 relative error 1.5235028561929022e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999822 y[1] (closed_form) 3.772516687754539 y[1] (numeric) 3.7725166877539666 absolute error 5.724309914967307e-13 relative error 1.5173716616147048e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999821 y[1] (closed_form) 3.78169173356099 y[1] (numeric) 3.781691733560419 absolute error 5.710987238671805e-13 relative error 1.5101673116264595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.67999999999982 y[1] (closed_form) 3.7906886116788234 y[1] (numeric) 3.790688611678253 absolute error 5.702105454474804e-13 relative error 1.5042400045487912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998188 y[1] (closed_form) 3.799506422427725 y[1] (numeric) 3.799506422427155 absolute error 5.697664562376303e-13 relative error 1.4995801898752246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998177 y[1] (closed_form) 3.8081442840339665 y[1] (numeric) 3.8081442840333977 absolute error 5.688782778179302e-13 relative error 1.4938464390727274e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998166 y[1] (closed_form) 3.8166013327185873 y[1] (numeric) 3.816601332718019 absolute error 5.684341886080801e-13 relative error 1.489372714239402e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998155 y[1] (closed_form) 3.824876722783765 y[1] (numeric) 3.824876722783198 absolute error 5.6710192097853e-13 relative error 1.4826671866323322e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998144 y[1] (closed_form) 3.8329696266973903 y[1] (numeric) 3.832969626696824 absolute error 5.662137425588298e-13 relative error 1.4772194869874245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998133 y[1] (closed_form) 3.840879235175815 y[1] (numeric) 3.84087923517525 absolute error 5.648814749292796e-13 relative error 1.4707087631288736e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999812 y[1] (closed_form) 3.848604757264784 y[1] (numeric) 3.8486047572642192 absolute error 5.648814749292796e-13 relative error 1.4677565262137822e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999811 y[1] (closed_form) 3.8561454204185246 y[1] (numeric) 3.8561454204179615 absolute error 5.631051180898794e-13 relative error 1.4602797786312816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.76999999999981 y[1] (closed_form) 3.863500470577007 y[1] (numeric) 3.8635004705764437 absolute error 5.631051180898794e-13 relative error 1.4574998045898534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999809 y[1] (closed_form) 3.8706691722413424 y[1] (numeric) 3.8706691722407807 absolute error 5.617728504603292e-13 relative error 1.4513584743669273e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998077 y[1] (closed_form) 3.8776508085473402 y[1] (numeric) 3.877650808546779 absolute error 5.613287612504791e-13 relative error 1.4476000778955292e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998066 y[1] (closed_form) 3.884444681337187 y[1] (numeric) 3.884444681336627 absolute error 5.59996493620929e-13 relative error 1.4416384826161431e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998055 y[1] (closed_form) 3.8910501112292657 y[1] (numeric) 3.8910501112287057 absolute error 5.59996493620929e-13 relative error 1.4391911633438566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998044 y[1] (closed_form) 3.8974664376860906 y[1] (numeric) 3.897466437685532 absolute error 5.586642259913788e-13 relative error 1.4334035582434814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999998033 y[1] (closed_form) 3.9036930190803645 y[1] (numeric) 3.9036930190798063 absolute error 5.582201367815287e-13 relative error 1.4299795963798268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999998022 y[1] (closed_form) 3.909729232759135 y[1] (numeric) 3.9097292327585786 absolute error 5.564437799421285e-13 relative error 1.4232284304492374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999801 y[1] (closed_form) 3.915574475106066 y[1] (numeric) 3.915574475105511 absolute error 5.551115123125783e-13 relative error 1.417701325416729e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8599999999998 y[1] (closed_form) 3.9212281616017934 y[1] (numeric) 3.9212281616012388 absolute error 5.546674231027282e-13 relative error 1.4145247362401645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999799 y[1] (closed_form) 3.926689726882379 y[1] (numeric) 3.9266897268818246 absolute error 5.542233338928781e-13 relative error 1.4114263474871172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999798 y[1] (closed_form) 3.931958624795845 y[1] (numeric) 3.931958624795292 absolute error 5.53335155473178e-13 relative error 1.4072761396412412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997967 y[1] (closed_form) 3.937034328456792 y[1] (numeric) 3.9370343284562392 absolute error 5.52891066263328e-13 relative error 1.4043338719884768e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997956 y[1] (closed_form) 3.941916330299083 y[1] (numeric) 3.941916330298531 absolute error 5.520028878436278e-13 relative error 1.400341462350993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997945 y[1] (closed_form) 3.9466041421266027 y[1] (numeric) 3.946604142126051 absolute error 5.515587986337778e-13 relative error 1.397552880326563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997934 y[1] (closed_form) 3.951097295162075 y[1] (numeric) 3.9510972951615226 absolute error 5.524469770534779e-13 relative error 1.3982115239984653e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997923 y[1] (closed_form) 3.955395340093939 y[1] (numeric) 3.955395340093388 absolute error 5.511147094239277e-13 relative error 1.3933239588911458e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997912 y[1] (closed_form) 3.959497847121285 y[1] (numeric) 3.959497847120734 absolute error 5.511147094239277e-13 relative error 1.3918803108444935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.94999999999979 y[1] (closed_form) 3.963404405996828 y[1] (numeric) 3.963404405996277 absolute error 5.506706202140776e-13 relative error 1.3893879195897486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999789 y[1] (closed_form) 3.9671146260679366 y[1] (numeric) 3.967114626067386 absolute error 5.506706202140776e-13 relative error 1.3880885029023798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999788 y[1] (closed_form) 3.9706281363156952 y[1] (numeric) 3.970628136315145 absolute error 5.502265310042276e-13 relative error 1.3857417821926207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999787 y[1] (closed_form) 3.9739445853920063 y[1] (numeric) 3.973944585391457 absolute error 5.493383525845275e-13 relative error 1.382350309070398e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997857 y[1] (closed_form) 3.977063641654727 y[1] (numeric) 3.977063641654178 absolute error 5.488942633746774e-13 relative error 1.3801495596542688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997846 y[1] (closed_form) 3.97998499320083 y[1] (numeric) 3.979984993200281 absolute error 5.488942633746774e-13 relative error 1.3791365151184634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997835 y[1] (closed_form) 3.982708347897595 y[1] (numeric) 3.9827083478970464 absolute error 5.484501741648273e-13 relative error 1.3770784256756964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997824 y[1] (closed_form) 3.985233433411821 y[1] (numeric) 3.985233433411273 absolute error 5.480060849549773e-13 relative error 1.3750915576501642e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997813 y[1] (closed_form) 3.987559997237063 y[1] (numeric) 3.9875599972365143 absolute error 5.484501741648273e-13 relative error 1.3754029395039636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.03999999999978 y[1] (closed_form) 3.989687806718875 y[1] (numeric) 3.989687806718326 absolute error 5.488942633746774e-13 relative error 1.3757824921797299e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999779 y[1] (closed_form) 3.9916166490780824 y[1] (numeric) 3.9916166490775336 absolute error 5.488942633746774e-13 relative error 1.3751176819583913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999778 y[1] (closed_form) 3.9933463314320568 y[1] (numeric) 3.9933463314315087 absolute error 5.480060849549773e-13 relative error 1.3722979162652703e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999777 y[1] (closed_form) 3.994876680814005 y[1] (numeric) 3.9948766808134573 absolute error 5.475619957451272e-13 relative error 1.3706605722646606e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999776 y[1] (closed_form) 3.9962075441902636 y[1] (numeric) 3.996207544189716 absolute error 5.475619957451272e-13 relative error 1.3702040989867497e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997747 y[1] (closed_form) 3.997338788475604 y[1] (numeric) 3.997338788475056 absolute error 5.480060849549773e-13 relative error 1.3709272942660957e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997736 y[1] (closed_form) 3.9982703005465403 y[1] (numeric) 3.9982703005459928 absolute error 5.475619957451272e-13 relative error 1.369497193999812e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997725 y[1] (closed_form) 3.999001987252641 y[1] (numeric) 3.999001987252094 absolute error 5.471179065352771e-13 relative error 1.3681361206603282e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997714 y[1] (closed_form) 3.9995337754258466 y[1] (numeric) 3.9995337754252995 absolute error 5.471179065352771e-13 relative error 1.3679542098054249e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997703 y[1] (closed_form) 3.999865611887783 y[1] (numeric) 3.999865611887235 absolute error 5.480060849549773e-13 relative error 1.3700612423734393e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999769 y[1] (closed_form) 3.9999974634550783 y[1] (numeric) 3.9999974634545317 absolute error 5.466738173254271e-13 relative error 1.3666854099783018e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999768 y[1] (closed_form) 3.999929316942688 y[1] (numeric) 3.999929316942142 absolute error 5.45785638905727e-13 relative error 1.3644882088138837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999767 y[1] (closed_form) 3.999661179165205 y[1] (numeric) 3.9996611791646597 absolute error 5.453415496958769e-13 relative error 1.363469367196995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999766 y[1] (closed_form) 3.9991930769361854 y[1] (numeric) 3.9991930769356396 absolute error 5.45785638905727e-13 relative error 1.364739407190257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999765 y[1] (closed_form) 3.99852505706546 y[1] (numeric) 3.9985250570649145 absolute error 5.453415496958769e-13 relative error 1.363856776968921e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997637 y[1] (closed_form) 3.99765718635446 y[1] (numeric) 3.9976571863539148 absolute error 5.453415496958769e-13 relative error 1.3641528632253339e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997626 y[1] (closed_form) 3.996589551589534 y[1] (numeric) 3.996589551588988 absolute error 5.46229728115577e-13 relative error 1.3667396190292522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997615 y[1] (closed_form) 3.9953222595332676 y[1] (numeric) 3.9953222595327214 absolute error 5.46229728115577e-13 relative error 1.3671731405701112e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997604 y[1] (closed_form) 3.9938554369138117 y[1] (numeric) 3.993855436913265 absolute error 5.466738173254271e-13 relative error 1.3687871931285038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997593 y[1] (closed_form) 3.9921892304122046 y[1] (numeric) 3.992189230411657 absolute error 5.475619957451272e-13 relative error 1.371583269585119e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999758 y[1] (closed_form) 3.9903238066477087 y[1] (numeric) 3.990323806647161 absolute error 5.475619957451272e-13 relative error 1.3722244666783993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999757 y[1] (closed_form) 3.988259352161145 y[1] (numeric) 3.9882593521605973 absolute error 5.475619957451272e-13 relative error 1.3729347752884127e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999756 y[1] (closed_form) 3.985996073396243 y[1] (numeric) 3.985996073395695 absolute error 5.480060849549773e-13 relative error 1.3748284616047103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999755 y[1] (closed_form) 3.983534196678993 y[1] (numeric) 3.9835341966784443 absolute error 5.484501741648273e-13 relative error 1.3767929358358747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999754 y[1] (closed_form) 3.980873968195014 y[1] (numeric) 3.980873968194466 absolute error 5.480060849549773e-13 relative error 1.376597423915561e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997527 y[1] (closed_form) 3.978015653964939 y[1] (numeric) 3.97801565396439 absolute error 5.493383525845275e-13 relative error 1.3809356231089611e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997516 y[1] (closed_form) 3.9749595398178084 y[1] (numeric) 3.9749595398172586 absolute error 5.497824417943775e-13 relative error 1.383114560757458e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997505 y[1] (closed_form) 3.9717059313624894 y[1] (numeric) 3.97170593136194 absolute error 5.493383525845275e-13 relative error 1.3831294715116976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997494 y[1] (closed_form) 3.9682551539571183 y[1] (numeric) 3.968255153956568 absolute error 5.502265310042276e-13 relative error 1.3865704438272959e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997483 y[1] (closed_form) 3.964607552676558 y[1] (numeric) 3.9646075526760076 absolute error 5.502265310042276e-13 relative error 1.3878461454091782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999747 y[1] (closed_form) 3.9607634922778976 y[1] (numeric) 3.9607634922773474 absolute error 5.502265310042276e-13 relative error 1.3891930989491716e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999746 y[1] (closed_form) 3.9567233571639733 y[1] (numeric) 3.956723357163423 absolute error 5.502265310042276e-13 relative error 1.390611577653002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999745 y[1] (closed_form) 3.9524875513449302 y[1] (numeric) 3.952487551344379 absolute error 5.511147094239277e-13 relative error 1.3943490074659374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999744 y[1] (closed_form) 3.94805649839782 y[1] (numeric) 3.9480564983972686 absolute error 5.515587986337778e-13 relative error 1.3970387679548369e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997428 y[1] (closed_form) 3.9434306414242455 y[1] (numeric) 3.9434306414236935 absolute error 5.520028878436278e-13 relative error 1.3998037192414304e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997417 y[1] (closed_form) 3.9386104430060485 y[1] (numeric) 3.9386104430054965 absolute error 5.520028878436278e-13 relative error 1.4015168441546229e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997406 y[1] (closed_form) 3.9335963851590545 y[1] (numeric) 3.933596385158501 absolute error 5.53335155473178e-13 relative error 1.4066902175343644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997395 y[1] (closed_form) 3.9283889692848692 y[1] (numeric) 3.9283889692843155 absolute error 5.537792446830281e-13 relative error 1.4096853672406045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997384 y[1] (closed_form) 3.9229887161207415 y[1] (numeric) 3.922988716120187 absolute error 5.546674231027282e-13 relative error 1.4138899274000785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997373 y[1] (closed_form) 3.917396165687487 y[1] (numeric) 3.917396165686932 absolute error 5.551115123125783e-13 relative error 1.4170420576167549e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999736 y[1] (closed_form) 3.9116118772354884 y[1] (numeric) 3.911611877234932 absolute error 5.564437799421285e-13 relative error 1.4225434358160101e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999735 y[1] (closed_form) 3.90563642918877 y[1] (numeric) 3.9056364291882137 absolute error 5.564437799421285e-13 relative error 1.4247198632815548e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999734 y[1] (closed_form) 3.8994704190871587 y[1] (numeric) 3.899470419086602 absolute error 5.568878691519785e-13 relative error 1.4281115364438191e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999733 y[1] (closed_form) 3.8931144635265253 y[1] (numeric) 3.893114463525968 absolute error 5.573319583618286e-13 relative error 1.431583796426517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997318 y[1] (closed_form) 3.8865691980971295 y[1] (numeric) 3.8865691980965718 absolute error 5.577760475716786e-13 relative error 1.435137312992566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997307 y[1] (closed_form) 3.87983527732006 y[1] (numeric) 3.8798352773195015 absolute error 5.586642259913788e-13 relative error 1.4399173832381563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997295 y[1] (closed_form) 3.872913374581782 y[1] (numeric) 3.8729133745812234 absolute error 5.586642259913788e-13 relative error 1.4424908898245272e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997284 y[1] (closed_form) 3.865804182066803 y[1] (numeric) 3.865804182066243 absolute error 5.59996493620929e-13 relative error 1.448589911042866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997273 y[1] (closed_form) 3.858508410688448 y[1] (numeric) 3.8585084106878877 absolute error 5.60440582830779e-13 relative error 1.4524798786969167e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997262 y[1] (closed_form) 3.8510267900177766 y[1] (numeric) 3.8510267900172157 absolute error 5.608846720406291e-13 relative error 1.456454869372747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999725 y[1] (closed_form) 3.84336006821062 y[1] (numeric) 3.843360068210059 absolute error 5.608846720406291e-13 relative error 1.4593602006740006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999724 y[1] (closed_form) 3.8355090119327713 y[1] (numeric) 3.8355090119322095 absolute error 5.617728504603292e-13 relative error 1.4646630961173085e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999723 y[1] (closed_form) 3.827474406283315 y[1] (numeric) 3.827474406282752 absolute error 5.631051180898794e-13 relative error 1.4712185068186648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999722 y[1] (closed_form) 3.81925705471612 y[1] (numeric) 3.819257054715557 absolute error 5.631051180898794e-13 relative error 1.4743839181878116e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997207 y[1] (closed_form) 3.8108577789594964 y[1] (numeric) 3.8108577789589324 absolute error 5.639932965095795e-13 relative error 1.4799641687587993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997196 y[1] (closed_form) 3.80227741893402 y[1] (numeric) 3.802277418933455 absolute error 5.648814749292796e-13 relative error 1.48563982237689e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997185 y[1] (closed_form) 3.7935168326685433 y[1] (numeric) 3.7935168326679776 absolute error 5.657696533489798e-13 relative error 1.4914120018573637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997174 y[1] (closed_form) 3.784576896214392 y[1] (numeric) 3.7845768962138258 absolute error 5.662137425588298e-13 relative error 1.4961084371814397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997163 y[1] (closed_form) 3.7754585035577612 y[1] (numeric) 3.7754585035571946 absolute error 5.666578317686799e-13 relative error 1.5008980531363178e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997152 y[1] (closed_form) 3.766162566530319 y[1] (numeric) 3.7661625665297507 absolute error 5.684341886080801e-13 relative error 1.5093193099515238e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.639999999999714 y[1] (closed_form) 3.7566900147180213 y[1] (numeric) 3.7566900147174516 absolute error 5.697664562376303e-13 relative error 1.5166714687807353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999713 y[1] (closed_form) 3.7470417953681547 y[1] (numeric) 3.7470417953675845 absolute error 5.702105454474804e-13 relative error 1.5217619033562342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999712 y[1] (closed_form) 3.7372188732946157 y[1] (numeric) 3.7372188732940437 absolute error 5.719869022868806e-13 relative error 1.530514860593741e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999711 y[1] (closed_form) 3.7272222307814236 y[1] (numeric) 3.7272222307808502 absolute error 5.733191699164308e-13 relative error 1.538194221910489e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997097 y[1] (closed_form) 3.717052867484501 y[1] (numeric) 3.7170528674839267 absolute error 5.74207348336131e-13 relative error 1.5447919865738237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997086 y[1] (closed_form) 3.7067118003317026 y[1] (numeric) 3.706711800331127 absolute error 5.755396159656812e-13 relative error 1.5526958851081378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997075 y[1] (closed_form) 3.6962000634211263 y[1] (numeric) 3.6962000634205494 absolute error 5.768718835952313e-13 relative error 1.560716069739176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997064 y[1] (closed_form) 3.685518707917703 y[1] (numeric) 3.685518707917125 absolute error 5.782041512247815e-13 relative error 1.5688542022120504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997053 y[1] (closed_form) 3.6746688019480827 y[1] (numeric) 3.6746688019475036 absolute error 5.790923296444817e-13 relative error 1.5759034646536924e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.729999999999704 y[1] (closed_form) 3.66365143049382 y[1] (numeric) 3.663651430493239 absolute error 5.808686864838819e-13 relative error 1.5854911350165952e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999703 y[1] (closed_form) 3.652467695282879 y[1] (numeric) 3.652467695282297 absolute error 5.81756864903582e-13 relative error 1.5927775778959374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999702 y[1] (closed_form) 3.641118714679462 y[1] (numeric) 3.6411187146788793 absolute error 5.826450433232822e-13 relative error 1.600181397476281e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999701 y[1] (closed_form) 3.6296056235721714 y[1] (numeric) 3.629605623571588 absolute error 5.835332217429823e-13 relative error 1.6077042033252162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7699999999997 y[1] (closed_form) 3.6179295732605237 y[1] (numeric) 3.617929573259939 absolute error 5.848654893725325e-13 relative error 1.6165751088555446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996987 y[1] (closed_form) 3.606091731339821 y[1] (numeric) 3.606091731339234 absolute error 5.866418462119327e-13 relative error 1.626807884873105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996976 y[1] (closed_form) 3.5940932815843887 y[1] (numeric) 3.5940932815838003 absolute error 5.88418203051333e-13 relative error 1.637181221940739e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996965 y[1] (closed_form) 3.5819354238292043 y[1] (numeric) 3.581935423828615 absolute error 5.893063814710331e-13 relative error 1.6452177712378902e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996954 y[1] (closed_form) 3.569619373849913 y[1] (numeric) 3.569619373849322 absolute error 5.910827383104333e-13 relative error 1.6558704903961162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996943 y[1] (closed_form) 3.557146363241248 y[1] (numeric) 3.5571463632406566 absolute error 5.915268275202834e-13 relative error 1.662925185291752e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999693 y[1] (closed_form) 3.5445176392938773 y[1] (numeric) 3.544517639293284 absolute error 5.933031843596837e-13 relative error 1.673861565202646e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999692 y[1] (closed_form) 3.53173446486967 y[1] (numeric) 3.5317344648690754 absolute error 5.946354519892338e-13 relative error 1.6836924120544758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999691 y[1] (closed_form) 3.518798118275418 y[1] (numeric) 3.518798118274822 absolute error 5.964118088286341e-13 relative error 1.6949304529040123e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.85999999999969 y[1] (closed_form) 3.5057098931349984 y[1] (numeric) 3.505709893134401 absolute error 5.972999872483342e-13 relative error 1.7037918294893356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999689 y[1] (closed_form) 3.49247109826002 y[1] (numeric) 3.492471098259421 absolute error 5.986322548778844e-13 relative error 1.7140650216865885e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996877 y[1] (closed_form) 3.4790830575189373 y[1] (numeric) 3.4790830575183365 absolute error 6.008527009271347e-13 relative error 1.7270432783390488e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996866 y[1] (closed_form) 3.4655471097046675 y[1] (numeric) 3.465547109704066 absolute error 6.012967901369848e-13 relative error 1.7350703109854046e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996855 y[1] (closed_form) 3.4518646084007134 y[1] (numeric) 3.4518646084001094 absolute error 6.039613253960852e-13 relative error 1.7496669015529754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996844 y[1] (closed_form) 3.438036921845801 y[1] (numeric) 3.4380369218451965 absolute error 6.044054146059352e-13 relative error 1.7579957061119758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996833 y[1] (closed_form) 3.4240654327970645 y[1] (numeric) 3.424065432796459 absolute error 6.057376822354854e-13 relative error 1.7690598913019835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999682 y[1] (closed_form) 3.4099515383917662 y[1] (numeric) 3.409951538391159 absolute error 6.070699498650356e-13 relative error 1.78028908337902e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999681 y[1] (closed_form) 3.3956966500075847 y[1] (numeric) 3.395696650006976 absolute error 6.088463067044358e-13 relative error 1.792993807921788e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.94999999999968 y[1] (closed_form) 3.3813021931214777 y[1] (numeric) 3.3813021931208675 absolute error 6.10178574333986e-13 relative error 1.8045668191836308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999679 y[1] (closed_form) 3.366769607167141 y[1] (numeric) 3.3667696071665283 absolute error 6.128431095930864e-13 relative error 1.8202704108070623e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999678 y[1] (closed_form) 3.352100345391058 y[1] (numeric) 3.352100345390444 absolute error 6.141753772226366e-13 relative error 1.8322105961627665e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996767 y[1] (closed_form) 3.3372958747071833 y[1] (numeric) 3.337295874706568 absolute error 6.150635556423367e-13 relative error 1.8429997780652362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996756 y[1] (closed_form) 3.322357675550247 y[1] (numeric) 3.3223576755496294 absolute error 6.177280909014371e-13 relative error 1.859306405952e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996745 y[1] (closed_form) 3.3072872417277166 y[1] (numeric) 3.3072872417270975 absolute error 6.190603585309873e-13 relative error 1.87180705298398e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999677 y[1] (closed_form) 3.29208608027041 y[1] (numeric) 3.292086080269795 absolute error 6.150635556423367e-13 relative error 1.86830945681656e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999681 y[1] (closed_form) 3.27675571128181 y[1] (numeric) 3.2767557112812002 absolute error 6.09734485124136e-13 relative error 1.860787128637119e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.029999999999684 y[1] (closed_form) 3.2612976677860415 y[1] (numeric) 3.261297667785437 absolute error 6.044054146059352e-13 relative error 1.853266632408445e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999687 y[1] (closed_form) 3.245713495574572 y[1] (numeric) 3.2457134955739724 absolute error 5.995204332975845e-13 relative error 1.8471144607033607e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999691 y[1] (closed_form) 3.2300047530516363 y[1] (numeric) 3.230004753051042 absolute error 5.941913627793838e-13 relative error 1.83959903532032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.059999999999694 y[1] (closed_form) 3.2141730110783957 y[1] (numeric) 3.2141730110778073 absolute error 5.88418203051333e-13 relative error 1.8306985996808903e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999697 y[1] (closed_form) 3.198219852815855 y[1] (numeric) 3.198219852815272 absolute error 5.830891325331322e-13 relative error 1.8231677600892716e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999701 y[1] (closed_form) 3.1821468735665457 y[1] (numeric) 3.1821468735659675 absolute error 5.782041512247815e-13 relative error 1.817025342317814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.089999999999704 y[1] (closed_form) 3.1659556806149984 y[1] (numeric) 3.165955680614426 absolute error 5.724309914967307e-13 relative error 1.8080827694515734e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999707 y[1] (closed_form) 3.1496478930670166 y[1] (numeric) 3.1496478930664495 absolute error 5.6710192097853e-13 relative error 1.800524821288217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999711 y[1] (closed_form) 3.133225141687765 y[1] (numeric) 3.1332251416872032 absolute error 5.617728504603292e-13 relative error 1.7929539852910817e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999714 y[1] (closed_form) 3.116689068738695 y[1] (numeric) 3.116689068738139 absolute error 5.559996907322784e-13 relative error 1.783943404265502e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1299999999997175 y[1] (closed_form) 3.1000413278133223 y[1] (numeric) 3.100041327812771 absolute error 5.511147094239277e-13 relative error 1.777765684861588e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999721 y[1] (closed_form) 3.083283583671866 y[1] (numeric) 3.0832835836713217 absolute error 5.444533712761768e-13 relative error 1.765823209254694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999724 y[1] (closed_form) 3.066417512074776 y[1] (numeric) 3.066417512074237 absolute error 5.38680211548126e-13 relative error 1.7567086328816596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1599999999997275 y[1] (closed_form) 3.0494447996151566 y[1] (numeric) 3.049444799614624 absolute error 5.324629626102251e-13 relative error 1.7460980525944346e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999731 y[1] (closed_form) 3.0323671435501103 y[1] (numeric) 3.032367143549583 absolute error 5.271338920920243e-13 relative error 1.7383577487087797e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999734 y[1] (closed_form) 3.015186251631012 y[1] (numeric) 3.01518625163049 absolute error 5.218048215738236e-13 relative error 1.7305890184779213e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1899999999997375 y[1] (closed_form) 2.997903841932736 y[1] (numeric) 2.99790384193222 absolute error 5.160316618457728e-13 relative error 1.721308250878018e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999741 y[1] (closed_form) 2.9805216426818513 y[1] (numeric) 2.98052164268134 absolute error 5.111466805374221e-13 relative error 1.7149571176322548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999744 y[1] (closed_form) 2.963041392083796 y[1] (numeric) 2.9630413920832908 absolute error 5.053735208093713e-13 relative error 1.7055904860443443e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2199999999997475 y[1] (closed_form) 2.9454648381490642 y[1] (numeric) 2.945464838148565 absolute error 4.991562718714704e-13 relative error 1.6946604332412983e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999751 y[1] (closed_form) 2.9277937385184023 y[1] (numeric) 2.92779373851791 absolute error 4.924949337237194e-13 relative error 1.6821367135409764e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999754 y[1] (closed_form) 2.9100298602870476 y[1] (numeric) 2.910029860286561 absolute error 4.867217739956686e-13 relative error 1.6725662531437323e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2499999999997575 y[1] (closed_form) 2.8921749798280194 y[1] (numeric) 2.8921749798275393 absolute error 4.800604358479177e-13 relative error 1.659859583863989e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999761 y[1] (closed_form) 2.8742308826144853 y[1] (numeric) 2.874230882614011 absolute error 4.742872761198669e-13 relative error 1.650136316427166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999764 y[1] (closed_form) 2.8561993630412132 y[1] (numeric) 2.856199363040745 absolute error 4.68070027181966e-13 relative error 1.638786259946421e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2799999999997675 y[1] (closed_form) 2.8380822242451336 y[1] (numeric) 2.8380822242446717 absolute error 4.618527782440651e-13 relative error 1.6273410766557605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999771 y[1] (closed_form) 2.8198812779250293 y[1] (numeric) 2.8198812779245728 absolute error 4.565237077258644e-13 relative error 1.618946553883967e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999774 y[1] (closed_form) 2.8015983441603645 y[1] (numeric) 2.8015983441599137 absolute error 4.5075054799781356e-13 relative error 1.6089049629021784e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999778 y[1] (closed_form) 2.7832352512292795 y[1] (numeric) 2.783235251228835 absolute error 4.445332990599127e-13 relative error 1.5971819085848902e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999781 y[1] (closed_form) 2.764793835425766 y[1] (numeric) 2.764793835425328 absolute error 4.3787196091216174e-13 relative error 1.5837418157608538e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999784 y[1] (closed_form) 2.7462759408760355 y[1] (numeric) 2.7462759408756034 absolute error 4.3209880118411093e-13 relative error 1.5733990701832955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999788 y[1] (closed_form) 2.727683419354112 y[1] (numeric) 2.727683419353686 absolute error 4.263256414560601e-13 relative error 1.562958657266061e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999791 y[1] (closed_form) 2.709018130096654 y[1] (numeric) 2.709018130096235 absolute error 4.1877612488860905e-13 relative error 1.545859439758226e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999794 y[1] (closed_form) 2.6902819396170328 y[1] (numeric) 2.69028193961662 absolute error 4.1255887595070817e-13 relative error 1.53351539061901e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999798 y[1] (closed_form) 2.671476721518683 y[1] (numeric) 2.6714767215182764 absolute error 4.0678571622265736e-13 relative error 1.5226998346869648e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999801 y[1] (closed_form) 2.6526043563077435 y[1] (numeric) 2.652604356307342 absolute error 4.014566457044566e-13 relative error 1.513443362745806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999804 y[1] (closed_form) 2.6336667312050075 y[1] (numeric) 2.633666731204612 absolute error 3.956834859764058e-13 relative error 1.5024053016585162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999808 y[1] (closed_form) 2.6146657399572053 y[1] (numeric) 2.6146657399568167 absolute error 3.885780586188048e-13 relative error 1.4861481247127394e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999811 y[1] (closed_form) 2.5956032826476276 y[1] (numeric) 2.595603282647245 absolute error 3.82804898890754e-13 relative error 1.4748205222651606e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999814 y[1] (closed_form) 2.5764812655061187 y[1] (numeric) 2.5764812655057425 absolute error 3.7614356074300304e-13 relative error 1.459911879736157e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999818 y[1] (closed_form) 2.557301600718459 y[1] (numeric) 2.5573016007180898 absolute error 3.6903813338540203e-13 relative error 1.4430763007449842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999821 y[1] (closed_form) 2.5380662062351433 y[1] (numeric) 2.5380662062347805 absolute error 3.6282088444750116e-13 relative error 1.429517021881371e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999824 y[1] (closed_form) 2.518777005579592 y[1] (numeric) 2.518777005579235 absolute error 3.5704772471945034e-13 relative error 1.417544006192365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999828 y[1] (closed_form) 2.499435927655795 y[1] (numeric) 2.4994359276554445 absolute error 3.503863865716994e-13 relative error 1.4018618468860876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999831 y[1] (closed_form) 2.4800449065554275 y[1] (numeric) 2.4800449065550834 absolute error 3.4416913763379853e-13 relative error 1.3877536520571329e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999834 y[1] (closed_form) 2.4606058813644403 y[1] (numeric) 2.4606058813641036 absolute error 3.3661962106634746e-13 relative error 1.3680355054653742e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999838 y[1] (closed_form) 2.4411207959691543 y[1] (numeric) 2.441120795968824 absolute error 3.304023721284466e-13 relative error 1.3534863685320942e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999841 y[1] (closed_form) 2.4215915988618706 y[1] (numeric) 2.4215915988615473 absolute error 3.232969447708456e-13 relative error 1.3350597389039203e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999844 y[1] (closed_form) 2.4020202429460253 y[1] (numeric) 2.4020202429457087 absolute error 3.1663560662309465e-13 relative error 1.3182054046086972e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999848 y[1] (closed_form) 2.3824086853409012 y[1] (numeric) 2.3824086853405917 absolute error 3.0953017926549364e-13 relative error 1.299232080415299e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999851 y[1] (closed_form) 2.362758887185916 y[1] (numeric) 2.362758887185613 absolute error 3.0331293032759277e-13 relative error 1.2837235825143518e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999854 y[1] (closed_form) 2.3430728134445102 y[1] (numeric) 2.343072813444213 absolute error 2.970956813896919e-13 relative error 1.2679746002128579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999858 y[1] (closed_form) 2.3233524327076536 y[1] (numeric) 2.3233524327073622 absolute error 2.913225216616411e-13 relative error 1.253888637644748e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999861 y[1] (closed_form) 2.3035997169969846 y[1] (numeric) 2.3035997169967004 absolute error 2.8421709430404007e-13 relative error 1.2337954906269512e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999864 y[1] (closed_form) 2.2838166415676158 y[1] (numeric) 2.2838166415673378 absolute error 2.779998453661392e-13 relative error 1.2172599161696256e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999868 y[1] (closed_form) 2.2640051847106033 y[1] (numeric) 2.264005184710332 absolute error 2.7133850721838826e-13 relative error 1.1984888950378978e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999871 y[1] (closed_form) 2.2441673275551226 y[1] (numeric) 2.2441673275548584 absolute error 2.6423307986078726e-13 relative error 1.1774214721709383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999874 y[1] (closed_form) 2.224305053870359 y[1] (numeric) 2.2243050538701015 absolute error 2.575717417130363e-13 relative error 1.1579874858659948e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999878 y[1] (closed_form) 2.204420349867128 y[1] (numeric) 2.204420349866877 absolute error 2.509104035652854e-13 relative error 1.1382148762163672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999881 y[1] (closed_form) 2.1845152039992604 y[1] (numeric) 2.1845152039990157 absolute error 2.446931546273845e-13 relative error 1.120125665316575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999884 y[1] (closed_form) 2.1645916067647546 y[1] (numeric) 2.1645916067645166 absolute error 2.3803181647963356e-13 relative error 1.0996615515635352e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999888 y[1] (closed_form) 2.1446515505067323 y[1] (numeric) 2.1446515505065005 absolute error 2.318145675417327e-13 relative error 1.0808961832842272e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999891 y[1] (closed_form) 2.124697029214201 y[1] (numeric) 2.1246970292139764 absolute error 2.2470914018413168e-13 relative error 1.0576055649084153e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6599999999998944 y[1] (closed_form) 2.1047300383226633 y[1] (numeric) 2.104730038322445 absolute error 2.1804780203638074e-13 relative error 1.0359894051312683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999898 y[1] (closed_form) 2.0847525745145674 y[1] (numeric) 2.084752574514355 absolute error 2.1227464230832993e-13 relative error 1.0182246320418042e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999901 y[1] (closed_form) 2.0647666355196463 y[1] (numeric) 2.064766635519441 absolute error 2.0516921495072893e-13 relative error 9.936678141793653e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999045 y[1] (closed_form) 2.044774219915146 y[1] (numeric) 2.044774219914948 absolute error 1.9806378759312793e-13 relative error 9.686340216150963e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999908 y[1] (closed_form) 2.0247773269259657 y[1] (numeric) 2.0247773269257747 absolute error 1.9095836023552692e-13 relative error 9.431079541247212e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999911 y[1] (closed_form) 2.004777956224741 y[1] (numeric) 2.0047779562245562 absolute error 1.8474111129762605e-13 relative error 9.215041033547562e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7199999999999145 y[1] (closed_form) 1.984778107731875 y[1] (numeric) 1.9847781077316962 absolute error 1.787459069646502e-13 relative error 9.005838298413815e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999918 y[1] (closed_form) 1.9647797814155505 y[1] (numeric) 1.964779781415379 absolute error 1.716404796070492e-13 relative error 8.735863491194348e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999921 y[1] (closed_form) 1.944784977091735 y[1] (numeric) 1.9447849770915697 absolute error 1.652011860642233e-13 relative error 8.494573333822643e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7499999999999245 y[1] (closed_form) 1.9247956942241977 y[1] (numeric) 1.9247956942240394 absolute error 1.5831780331154732e-13 relative error 8.225174432102957e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999928 y[1] (closed_form) 1.904813931724568 y[1] (numeric) 1.9048139317244164 absolute error 1.5165646516379638e-13 relative error 7.961746952705803e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999931 y[1] (closed_form) 1.8848416877524445 y[1] (numeric) 1.8848416877522993 absolute error 1.4521717162097048e-13 relative error 7.704475795743505e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7799999999999345 y[1] (closed_form) 1.8648809595155806 y[1] (numeric) 1.864880959515442 absolute error 1.3855583347321954e-13 relative error 7.429741440934152e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999938 y[1] (closed_form) 1.8449337430701664 y[1] (numeric) 1.8449337430700345 absolute error 1.318944953254686e-13 relative error 7.149009866662317e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999941 y[1] (closed_form) 1.825002033121224 y[1] (numeric) 1.8250020331210985 absolute error 1.254552017826427e-13 relative error 6.874249973742876e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8099999999999445 y[1] (closed_form) 1.805087822823138 y[1] (numeric) 1.8050878228230194 absolute error 1.1857181902996672e-13 relative error 6.568756241705828e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999948 y[1] (closed_form) 1.7851931035803439 y[1] (numeric) 1.7851931035802322 absolute error 1.1168843627729075e-13 relative error 6.256378430618563e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999951 y[1] (closed_form) 1.7653198648481863 y[1] (numeric) 1.7653198648480812 absolute error 1.0502709812953981e-13 relative error 5.949465602290263e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999955 y[1] (closed_form) 1.7454700939339776 y[1] (numeric) 1.7454700939338792 absolute error 9.836575998178887e-14 relative error 5.63548813145747e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999958 y[1] (closed_form) 1.725645775798268 y[1] (numeric) 1.7256457757981765 absolute error 9.14823772291129e-14 relative error 5.301341591196142e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999961 y[1] (closed_form) 1.705848892856351 y[1] (numeric) 1.705848892856266 absolute error 8.504308368628699e-14 relative error 4.985382002029909e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999965 y[1] (closed_form) 1.6860814247800233 y[1] (numeric) 1.686081424779945 absolute error 7.838174553853605e-14 relative error 4.648752093853487e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999968 y[1] (closed_form) 1.6663453482996196 y[1] (numeric) 1.6663453482995476 absolute error 7.194245199571014e-14 relative error 4.317379471735677e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999971 y[1] (closed_form) 1.6466426370063414 y[1] (numeric) 1.6466426370062757 absolute error 6.572520305780927e-14 relative error 3.991467339707671e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999975 y[1] (closed_form) 1.6269752611548993 y[1] (numeric) 1.62697526115484 absolute error 5.928590951498336e-14 relative error 3.6439342951594476e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999978 y[1] (closed_form) 1.6073451874664886 y[1] (numeric) 1.6073451874664362 absolute error 5.240252676230739e-14 relative error 3.260191225315124e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999981 y[1] (closed_form) 1.5877543789321198 y[1] (numeric) 1.587754378932074 absolute error 4.574118861455645e-14 relative error 2.880873088526496e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999985 y[1] (closed_form) 1.5682047946163213 y[1] (numeric) 1.5682047946162816 absolute error 3.9745984281580604e-14 relative error 2.5344893994731664e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999988 y[1] (closed_form) 1.548698389461233 y[1] (numeric) 1.5486983894611999 absolute error 3.3084646133829665e-14 relative error 2.1362872434663843e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999991 y[1] (closed_form) 1.529237114091115 y[1] (numeric) 1.5292371140910885 absolute error 2.6423307986078726e-14 relative error 1.727875143926462e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999995 y[1] (closed_form) 1.509822914617287 y[1] (numeric) 1.5098229146172668 absolute error 2.020605904817785e-14 relative error 1.338306555858554e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999998 y[1] (closed_form) 1.4904577324435175 y[1] (numeric) 1.4904577324435044 absolute error 1.3100631690576847e-14 relative error 8.789670049280186e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.980000000000001 y[1] (closed_form) 1.471143504071887 y[1] (numeric) 1.47114350407188 absolute error 6.8833827526759706e-15 relative error 4.678933587120415e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000005 y[1] (closed_form) 1.4518821609091366 y[1] (numeric) 1.4518821609091366 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; Iterations 10000 Total Elapsed Time 2 Seconds Elapsed Time(since restart) 2 Seconds Time to Timeout 2 Minutes 58.0 Seconds Percent Done 100.01000000000008%