##############ECHO OF PROBLEM################# ##############temp/add_full_linpostode.ode################# diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(1.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_display_interval=c(0.1) $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(0.05) * c(x) * c(x) + c(0.2) * c(x) - cos(c(0.3) * c(x) + c(0.1)) / c(0.3)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 1.0 y[1] (closed_form) -2.8202033133429505 y[1] (numeric) -2.8202033133429505 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.009999999999999 y[1] (closed_form) -2.8132903198565886 y[1] (numeric) -2.813290319856588 absolute error 4.440892098500626e-16 relative error 1.578540283296111e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999978 y[1] (closed_form) -2.8063397297330464 y[1] (numeric) -2.8063397297330455 absolute error 8.881784197001252e-16 relative error 3.164899852608413e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999967 y[1] (closed_form) -2.7993515783926073 y[1] (numeric) -2.799351578392605 absolute error 2.220446049250313e-15 relative error 7.932001347702446e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999956 y[1] (closed_form) -2.7923259015036064 y[1] (numeric) -2.7923259015036037 absolute error 2.6645352591003757e-15 relative error 9.542350546064776e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999945 y[1] (closed_form) -2.7852627349821097 y[1] (numeric) -2.7852627349821066 absolute error 3.1086244689504383e-15 relative error 1.1160973899901783e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999934 y[1] (closed_form) -2.7781621149915883 y[1] (numeric) -2.7781621149915834 absolute error 4.884981308350689e-15 relative error 1.7583499832462006e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999923 y[1] (closed_form) -2.7710240779425943 y[1] (numeric) -2.771024077942589 absolute error 5.329070518200751e-15 relative error 1.9231411811323677e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999912 y[1] (closed_form) -2.763848660492435 y[1] (numeric) -2.763848660492428 absolute error 6.661338147750939e-15 relative error 2.410167475148255e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.08999999999999 y[1] (closed_form) -2.756635899544838 y[1] (numeric) -2.7566358995448303 absolute error 7.549516567451064e-15 relative error 2.7386701916990934e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.099999999999989 y[1] (closed_form) -2.7493858322496254 y[1] (numeric) -2.749385832249617 absolute error 8.43769498715119e-15 relative error 3.068938119989957e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999879 y[1] (closed_form) -2.7420984960023738 y[1] (numeric) -2.742098496002365 absolute error 8.881784197001252e-15 relative error 3.2390463763244645e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999868 y[1] (closed_form) -2.734773928444082 y[1] (numeric) -2.734773928444072 absolute error 1.021405182655144e-14 relative error 3.734879772077762e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999857 y[1] (closed_form) -2.727412167460829 y[1] (numeric) -2.7274121674608187 absolute error 1.021405182655144e-14 relative error 3.744960863784859e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999846 y[1] (closed_form) -2.7200132511834356 y[1] (numeric) -2.7200132511834245 absolute error 1.1102230246251565e-14 relative error 4.0816824114445606e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999835 y[1] (closed_form) -2.71257721798712 y[1] (numeric) -2.7125772179871075 absolute error 1.2434497875801753e-14 relative error 4.584016187022623e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999824 y[1] (closed_form) -2.7051041064911496 y[1] (numeric) -2.7051041064911363 absolute error 1.3322676295501878e-14 relative error 4.925014258613143e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999813 y[1] (closed_form) -2.697593955558502 y[1] (numeric) -2.697593955558487 absolute error 1.509903313490213e-14 relative error 5.59722233355022e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999802 y[1] (closed_form) -2.690046804295504 y[1] (numeric) -2.690046804295488 absolute error 1.5987211554602254e-14 relative error 5.943097915275545e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999979 y[1] (closed_form) -2.682462692051488 y[1] (numeric) -2.6824626920514714 absolute error 1.6431300764452317e-14 relative error 6.125453603936621e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.199999999999978 y[1] (closed_form) -2.6748416584184342 y[1] (numeric) -2.6748416584184174 absolute error 1.687538997430238e-14 relative error 6.308930444982066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999769 y[1] (closed_form) -2.6671837432306162 y[1] (numeric) -2.667183743230599 absolute error 1.7319479184152442e-14 relative error 6.493545571470186e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999758 y[1] (closed_form) -2.6594889865642406 y[1] (numeric) -2.659488986564222 absolute error 1.865174681370263e-14 relative error 7.013282216219508e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999747 y[1] (closed_form) -2.6517574287370866 y[1] (numeric) -2.6517574287370675 absolute error 1.9095836023552692e-14 relative error 7.201200161301022e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999736 y[1] (closed_form) -2.6439891103081443 y[1] (numeric) -2.643989110308125 absolute error 1.9539925233402755e-14 relative error 7.39031986070679e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999725 y[1] (closed_form) -2.6361840720772487 y[1] (numeric) -2.6361840720772283 absolute error 2.042810365310288e-14 relative error 7.749118837898915e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999714 y[1] (closed_form) -2.6283423550847145 y[1] (numeric) -2.628342355084693 absolute error 2.1316282072803006e-14 relative error 8.110161916907495e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999703 y[1] (closed_form) -2.6204640006109616 y[1] (numeric) -2.6204640006109403 absolute error 2.1316282072803006e-14 relative error 8.134544900381425e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999692 y[1] (closed_form) -2.612549050176151 y[1] (numeric) -2.6125490501761295 absolute error 2.1316282072803006e-14 relative error 8.159189229907763e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999968 y[1] (closed_form) -2.604597545539804 y[1] (numeric) -2.6045975455397814 absolute error 2.2648549702353193e-14 relative error 8.695604332860289e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.299999999999967 y[1] (closed_form) -2.5966095287004314 y[1] (numeric) -2.596609528700408 absolute error 2.353672812205332e-14 relative error 9.064407975824204e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999659 y[1] (closed_form) -2.5885850418951533 y[1] (numeric) -2.588585041895129 absolute error 2.4424906541753444e-14 relative error 9.435620675560844e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999648 y[1] (closed_form) -2.5805241275993183 y[1] (numeric) -2.5805241275992934 absolute error 2.4868995751603507e-14 relative error 9.63718784320739e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999637 y[1] (closed_form) -2.5724268285261234 y[1] (numeric) -2.572426828526098 absolute error 2.531308496145357e-14 relative error 9.840157426734952e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999626 y[1] (closed_form) -2.564293187626229 y[1] (numeric) -2.5642931876262023 absolute error 2.6645352591003757e-14 relative error 1.0390915016885964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999615 y[1] (closed_form) -2.5561232480873692 y[1] (numeric) -2.5561232480873413 absolute error 2.7977620220553945e-14 relative error 1.0945333031765322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999604 y[1] (closed_form) -2.5479170533339683 y[1] (numeric) -2.5479170533339395 absolute error 2.886579864025407e-14 relative error 1.132917517957775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999593 y[1] (closed_form) -2.539674647026746 y[1] (numeric) -2.5396746470267164 absolute error 2.9753977059954195e-14 relative error 1.171566487651788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999581 y[1] (closed_form) -2.5313960730623264 y[1] (numeric) -2.5313960730622957 absolute error 3.064215547965432e-14 relative error 1.2104844360679337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999957 y[1] (closed_form) -2.5230813755728416 y[1] (numeric) -2.5230813755728096 absolute error 3.197442310920451e-14 relative error 1.2672767283197522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.399999999999956 y[1] (closed_form) -2.5147305989255364 y[1] (numeric) -2.5147305989255035 absolute error 3.2862601528904634e-14 relative error 1.306804058571752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999548 y[1] (closed_form) -2.506343787722367 y[1] (numeric) -2.506343787722333 absolute error 3.419486915845482e-14 relative error 1.3643327513951832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999537 y[1] (closed_form) -2.4979209867996 y[1] (numeric) -2.497920986799565 absolute error 3.5083047578154947e-14 relative error 1.4044898843299379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999526 y[1] (closed_form) -2.48946224122741 y[1] (numeric) -2.4894622412273746 absolute error 3.552713678800501e-14 relative error 1.4271008493179085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999515 y[1] (closed_form) -2.4809675963094744 y[1] (numeric) -2.480967596309437 absolute error 3.730349362740526e-14 relative error 1.503586491129328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999504 y[1] (closed_form) -2.4724370975825614 y[1] (numeric) -2.4724370975825236 absolute error 3.774758283725532e-14 relative error 1.5267358216782632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999493 y[1] (closed_form) -2.4638707908161264 y[1] (numeric) -2.463870790816088 absolute error 3.8191672047105385e-14 relative error 1.5500679739157455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999482 y[1] (closed_form) -2.455268722011896 y[1] (numeric) -2.455268722011856 absolute error 3.9968028886505635e-14 relative error 1.6278474338953433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999471 y[1] (closed_form) -2.4466309374034543 y[1] (numeric) -2.446630937403413 absolute error 4.1300296516055823e-14 relative error 1.6880476693344994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999946 y[1] (closed_form) -2.437957483455828 y[1] (numeric) -2.4379574834557856 absolute error 4.263256414560601e-14 relative error 1.7487000669582614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.499999999999945 y[1] (closed_form) -2.4292484068650673 y[1] (numeric) -2.4292484068650246 absolute error 4.263256414560601e-14 relative error 1.7549693158232063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999438 y[1] (closed_form) -2.4205037545578265 y[1] (numeric) -2.420503754557783 absolute error 4.3520742565306136e-14 relative error 1.7980035140766156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999427 y[1] (closed_form) -2.4117235736909417 y[1] (numeric) -2.411723573690897 absolute error 4.4853010194856324e-14 relative error 1.859790677677564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999416 y[1] (closed_form) -2.4029079116510044 y[1] (numeric) -2.4029079116509586 absolute error 4.574118861455645e-14 relative error 1.9035764289081023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999405 y[1] (closed_form) -2.394056816053937 y[1] (numeric) -2.39405681605389 absolute error 4.6629367034256575e-14 relative error 1.947713467849714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999394 y[1] (closed_form) -2.3851703347445645 y[1] (numeric) -2.3851703347445175 absolute error 4.707345624410664e-14 relative error 1.973588869456901e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999383 y[1] (closed_form) -2.376248515796183 y[1] (numeric) -2.376248515796135 absolute error 4.796163466380676e-14 relative error 2.0183762070751593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5699999999999372 y[1] (closed_form) -2.367291407510126 y[1] (numeric) -2.3672914075100775 absolute error 4.8405723873656825e-14 relative error 2.0447725075202756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999361 y[1] (closed_form) -2.3582990584153327 y[1] (numeric) -2.3582990584152825 absolute error 5.0182080713057076e-14 relative error 2.1278930055112304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.589999999999935 y[1] (closed_form) -2.349271517267907 y[1] (numeric) -2.3492715172678555 absolute error 5.1514348342607263e-14 relative error 2.1927796750592727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.599999999999934 y[1] (closed_form) -2.340208833050683 y[1] (numeric) -2.3402088330506308 absolute error 5.240252676230739e-14 relative error 2.2392243812701e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999328 y[1] (closed_form) -2.3311110549727823 y[1] (numeric) -2.3311110549727294 absolute error 5.284661597215745e-14 relative error 2.2670140858121614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999317 y[1] (closed_form) -2.3219782324691707 y[1] (numeric) -2.3219782324691165 absolute error 5.417888360170764e-14 relative error 2.333307127694057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999306 y[1] (closed_form) -2.312810415200212 y[1] (numeric) -2.3128104152001567 absolute error 5.5067062021407764e-14 relative error 2.3809587530174108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999295 y[1] (closed_form) -2.303607653051226 y[1] (numeric) -2.3036076530511695 absolute error 5.639932965095795e-14 relative error 2.4483044921410404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999284 y[1] (closed_form) -2.2943699961320334 y[1] (numeric) -2.2943699961319757 absolute error 5.773159728050814e-14 relative error 2.51622874156457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999273 y[1] (closed_form) -2.2850974947765086 y[1] (numeric) -2.2850974947764504 absolute error 5.81756864903582e-14 relative error 2.5458732777634947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999262 y[1] (closed_form) -2.2757901995421266 y[1] (numeric) -2.2757901995420675 absolute error 5.906386491005833e-14 relative error 2.5953123852076337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.679999999999925 y[1] (closed_form) -2.2664481612095058 y[1] (numeric) -2.2664481612094454 absolute error 6.039613253960852e-14 relative error 2.664792143641075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999924 y[1] (closed_form) -2.257071430781954 y[1] (numeric) -2.257071430781892 absolute error 6.17284001691587e-14 relative error 2.734889083584436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.699999999999923 y[1] (closed_form) -2.2476600594850042 y[1] (numeric) -2.2476600594849416 absolute error 6.261657858885883e-14 relative error 2.7858562652577397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999218 y[1] (closed_form) -2.2382140987659627 y[1] (numeric) -2.2382140987658983 absolute error 6.439293542825908e-14 relative error 2.876978366982947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999207 y[1] (closed_form) -2.2287336002934346 y[1] (numeric) -2.22873360029337 absolute error 6.439293542825908e-14 relative error 2.8892163432983252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999196 y[1] (closed_form) -2.219218615956869 y[1] (numeric) -2.219218615956803 absolute error 6.616929226765933e-14 relative error 2.981648215812612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999185 y[1] (closed_form) -2.209669197866085 y[1] (numeric) -2.2096691978660177 absolute error 6.750155989720952e-14 relative error 3.0548264854484513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999174 y[1] (closed_form) -2.2000853983508057 y[1] (numeric) -2.200085398350738 absolute error 6.794564910705958e-14 relative error 3.088318715173145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999163 y[1] (closed_form) -2.1904672699601884 y[1] (numeric) -2.190467269960119 absolute error 6.927791673660977e-14 relative error 3.1627003830040743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999152 y[1] (closed_form) -2.1808148654623487 y[1] (numeric) -2.180814865462278 absolute error 7.061018436615996e-14 relative error 3.237789024846457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999914 y[1] (closed_form) -2.171128237843887 y[1] (numeric) -2.171128237843815 absolute error 7.238654120556021e-14 relative error 3.334051851190795e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.789999999999913 y[1] (closed_form) -2.161407440309412 y[1] (numeric) -2.161407440309339 absolute error 7.327471962526033e-14 relative error 3.390139140761486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.799999999999912 y[1] (closed_form) -2.1516525262810617 y[1] (numeric) -2.151652526280987 absolute error 7.460698725481052e-14 relative error 3.4674273073153684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999108 y[1] (closed_form) -2.141863549398022 y[1] (numeric) -2.1418635493979465 absolute error 7.549516567451064e-14 relative error 3.52474207312267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999097 y[1] (closed_form) -2.1320405635160444 y[1] (numeric) -2.1320405635159676 absolute error 7.682743330406083e-14 relative error 3.603469587715594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999086 y[1] (closed_form) -2.1221836227069617 y[1] (numeric) -2.122183622706883 absolute error 7.860379014346108e-14 relative error 3.703910882282544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999075 y[1] (closed_form) -2.1122927812582 y[1] (numeric) -2.1122927812581196 absolute error 8.038014698286133e-14 relative error 3.805350645329688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999064 y[1] (closed_form) -2.102368093672291 y[1] (numeric) -2.1023680936722102 absolute error 8.08242361927114e-14 relative error 3.84443791912445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999053 y[1] (closed_form) -2.092409614666384 y[1] (numeric) -2.092409614666302 absolute error 8.215650382226158e-14 relative error 3.92640634254401e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999042 y[1] (closed_form) -2.082417399171746 y[1] (numeric) -2.082417399171663 absolute error 8.304468224196171e-14 relative error 3.987898020588554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999903 y[1] (closed_form) -2.072391502333277 y[1] (numeric) -2.0723915023331925 absolute error 8.43769498715119e-14 relative error 4.071477313843116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.889999999999902 y[1] (closed_form) -2.0623319795090067 y[1] (numeric) -2.0623319795089214 absolute error 8.526512829121202e-14 relative error 4.13440363328467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999009 y[1] (closed_form) -2.052238886269598 y[1] (numeric) -2.052238886269512 absolute error 8.615330671091215e-14 relative error 4.198015508200168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999998998 y[1] (closed_form) -2.0421122783978496 y[1] (numeric) -2.0421122783977617 absolute error 8.79296635503124e-14 relative error 4.305819248062996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998987 y[1] (closed_form) -2.0319522118881888 y[1] (numeric) -2.0319522118881004 absolute error 8.837375276016246e-14 relative error 4.349204289506458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998976 y[1] (closed_form) -2.0217587429461736 y[1] (numeric) -2.0217587429460826 absolute error 9.103828801926284e-14 relative error 4.502925402790584e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998965 y[1] (closed_form) -2.0115319279879813 y[1] (numeric) -2.011531927987889 absolute error 9.237055564881302e-14 relative error 4.592050186407229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998954 y[1] (closed_form) -2.001271823639904 y[1] (numeric) -2.001271823639811 absolute error 9.281464485866309e-14 relative error 4.6377830218911614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998943 y[1] (closed_form) -1.990978486737838 y[1] (numeric) -1.990978486737744 absolute error 9.392486788328824e-14 relative error 4.717522992284135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998932 y[1] (closed_form) -1.9806519743267739 y[1] (numeric) -1.980651974326678 absolute error 9.592326932761353e-14 relative error 4.8430148542485846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999892 y[1] (closed_form) -1.9702923436602782 y[1] (numeric) -1.970292343660182 absolute error 9.614531393253856e-14 relative error 4.87974864450451e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.989999999999891 y[1] (closed_form) -1.9598996521999865 y[1] (numeric) -1.9598996521998888 absolute error 9.769962616701378e-14 relative error 4.984930022174655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998899 y[1] (closed_form) -1.949473957615077 y[1] (numeric) -1.9494739576149775 absolute error 9.947598300641403e-14 relative error 5.102708995821094e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998888 y[1] (closed_form) -1.9390153177817573 y[1] (numeric) -1.9390153177816574 absolute error 9.992007221626409e-14 relative error 5.153134753498138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998877 y[1] (closed_form) -1.9285237907827435 y[1] (numeric) -1.9285237907826422 absolute error 1.0125233984581428e-13 relative error 5.2502510121857654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998866 y[1] (closed_form) -1.9179994349067342 y[1] (numeric) -1.9179994349066318 absolute error 1.0236256287043943e-13 relative error 5.336944370654467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998855 y[1] (closed_form) -1.9074423086478889 y[1] (numeric) -1.907442308647785 absolute error 1.0391687510491465e-13 relative error 5.4479694947406956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998844 y[1] (closed_form) -1.8968524707052992 y[1] (numeric) -1.896852470705194 absolute error 1.0524914273446484e-13 relative error 5.548620378227436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0599999999998833 y[1] (closed_form) -1.8862299799824627 y[1] (numeric) -1.8862299799823565 absolute error 1.0613732115416497e-13 relative error 5.626955476296256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999882 y[1] (closed_form) -1.8755748955867517 y[1] (numeric) -1.8755748955866445 absolute error 1.0724754417879012e-13 relative error 5.718115785786255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999881 y[1] (closed_form) -1.8648872768288811 y[1] (numeric) -1.8648872768287728 absolute error 1.0835776720341528e-13 relative error 5.810419136306757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.08999999999988 y[1] (closed_form) -1.8541671832223754 y[1] (numeric) -1.8541671832222657 absolute error 1.0969003483296547e-13 relative error 5.915865399059327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.099999999999879 y[1] (closed_form) -1.8434146744830324 y[1] (numeric) -1.8434146744829212 absolute error 1.1124434706744069e-13 relative error 6.0346892431372266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998778 y[1] (closed_form) -1.8326298105283847 y[1] (numeric) -1.8326298105282728 absolute error 1.1191048088221578e-13 relative error 6.106551374385299e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998766 y[1] (closed_form) -1.8218126514771638 y[1] (numeric) -1.821812651477051 absolute error 1.127986593019159e-13 relative error 6.191561970461474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998755 y[1] (closed_form) -1.8109632576487562 y[1] (numeric) -1.8109632576486416 absolute error 1.1457501614131615e-13 relative error 6.326744380781825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998744 y[1] (closed_form) -1.80008168956266 y[1] (numeric) -1.8000816895625444 absolute error 1.1546319456101628e-13 relative error 6.41433081790131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998733 y[1] (closed_form) -1.7891680079379433 y[1] (numeric) -1.7891680079378263 absolute error 1.170175067954915e-13 relative error 6.5403308284254885e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1599999999998722 y[1] (closed_form) -1.7782222736926943 y[1] (numeric) -1.7782222736925761 absolute error 1.1812772982011666e-13 relative error 6.6430238540882795e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999871 y[1] (closed_form) -1.7672445479434757 y[1] (numeric) -1.7672445479433565 absolute error 1.192379528447418e-13 relative error 6.747111087907884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.17999999999987 y[1] (closed_form) -1.756234892004773 y[1] (numeric) -1.7562348920046529 absolute error 1.2012613126444194e-13 relative error 6.839980905248719e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999869 y[1] (closed_form) -1.745193367388444 y[1] (numeric) -1.7451933673883229 absolute error 1.212363542890671e-13 relative error 6.946872281006233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.199999999999868 y[1] (closed_form) -1.7341200358031639 y[1] (numeric) -1.7341200358030415 absolute error 1.2234657731369225e-13 relative error 7.055254237751021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998667 y[1] (closed_form) -1.7230149591538706 y[1] (numeric) -1.7230149591537467 absolute error 1.2390088954816747e-13 relative error 7.190935220261355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998656 y[1] (closed_form) -1.7118781995412071 y[1] (numeric) -1.7118781995410817 absolute error 1.254552017826427e-13 relative error 7.32851214626516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998645 y[1] (closed_form) -1.7007098192609629 y[1] (numeric) -1.700709819260836 absolute error 1.2678746941219288e-13 relative error 7.454973680771003e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998634 y[1] (closed_form) -1.6895098808035138 y[1] (numeric) -1.6895098808033862 absolute error 1.27675647831893e-13 relative error 7.556963666360551e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2499999999998623 y[1] (closed_form) -1.6782784468532599 y[1] (numeric) -1.6782784468531304 absolute error 1.2945200467129325e-13 relative error 7.713380632040726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2599999999998612 y[1] (closed_form) -1.6670155802880584 y[1] (numeric) -1.6670155802879276 absolute error 1.3078427230084344e-13 relative error 7.84541391498237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.26999999999986 y[1] (closed_form) -1.655721344178661 y[1] (numeric) -1.6557213441785295 absolute error 1.3145040611561853e-13 relative error 7.939162382473602e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999859 y[1] (closed_form) -1.6443958017881464 y[1] (numeric) -1.6443958017880134 absolute error 1.3300471835009375e-13 relative error 8.08836401828939e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999858 y[1] (closed_form) -1.6330390165713475 y[1] (numeric) -1.6330390165712134 absolute error 1.341149413747189e-13 relative error 8.212598720164102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.299999999999857 y[1] (closed_form) -1.6216510521742842 y[1] (numeric) -1.6216510521741487 absolute error 1.354472090042691e-13 relative error 8.352426301741279e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998557 y[1] (closed_form) -1.6102319724335876 y[1] (numeric) -1.6102319724334506 absolute error 1.3700152123874432e-13 relative error 8.508185378513518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998546 y[1] (closed_form) -1.5987818413759276 y[1] (numeric) -1.5987818413757895 absolute error 1.3811174426336947e-13 relative error 8.638560977431988e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998535 y[1] (closed_form) -1.5873007232174352 y[1] (numeric) -1.5873007232172962 absolute error 1.389999226830696e-13 relative error 8.756999896107828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998524 y[1] (closed_form) -1.5757886823631262 y[1] (numeric) -1.5757886823629859 absolute error 1.4033219031261979e-13 relative error 8.905520891428862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3499999999998513 y[1] (closed_form) -1.5642457834063195 y[1] (numeric) -1.5642457834061776 absolute error 1.41886502547095e-13 relative error 9.07060156736503e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.35999999999985 y[1] (closed_form) -1.5526720911280574 y[1] (numeric) -1.5526720911279142 absolute error 1.432187701766452e-13 relative error 9.224019095531818e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999849 y[1] (closed_form) -1.5410676704965212 y[1] (numeric) -1.5410676704963768 absolute error 1.4432899320127035e-13 relative error 9.365519500825592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999848 y[1] (closed_form) -1.5294325866664482 y[1] (numeric) -1.5294325866663023 absolute error 1.4588330543574557e-13 relative error 9.538393957834577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999847 y[1] (closed_form) -1.517766904978543 y[1] (numeric) -1.5177669049783962 absolute error 1.467714838554457e-13 relative error 9.670225604077238e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.399999999999846 y[1] (closed_form) -1.5060706909588926 y[1] (numeric) -1.5060706909587445 absolute error 1.4810375148499588e-13 relative error 9.833784853133319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998447 y[1] (closed_form) -1.4943440103183736 y[1] (numeric) -1.4943440103182242 absolute error 1.4943601911454607e-13 relative error 1.0000108280469392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998436 y[1] (closed_form) -1.4825869289520623 y[1] (numeric) -1.4825869289519116 absolute error 1.5076828674409626e-13 relative error 1.0169271278458113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998425 y[1] (closed_form) -1.4707995129386415 y[1] (numeric) -1.4707995129384897 absolute error 1.5187850976872141e-13 relative error 1.0326255103611627e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998414 y[1] (closed_form) -1.4589818285398057 y[1] (numeric) -1.458981828539652 absolute error 1.5365486660812167e-13 relative error 1.0531650470376607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4499999999998403 y[1] (closed_form) -1.4471339421996643 y[1] (numeric) -1.4471339421995089 absolute error 1.5543122344752192e-13 relative error 1.0740624548634679e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999839 y[1] (closed_form) -1.4352559205441442 y[1] (numeric) -1.435255920543988 absolute error 1.56097357262297e-13 relative error 1.0875924985079754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999838 y[1] (closed_form) -1.4233478303803913 y[1] (numeric) -1.4233478303802336 absolute error 1.5765166949677223e-13 relative error 1.1076116893692785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999837 y[1] (closed_form) -1.4114097386961655 y[1] (numeric) -1.411409738696007 absolute error 1.5853984791647235e-13 relative error 1.1232730196613817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999836 y[1] (closed_form) -1.3994417126592427 y[1] (numeric) -1.3994417126590826 absolute error 1.6009416015094757e-13 relative error 1.143985910257984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.499999999999835 y[1] (closed_form) -1.387443819616806 y[1] (numeric) -1.3874438196166445 absolute error 1.6142642778049776e-13 relative error 1.1634808234980041e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998337 y[1] (closed_form) -1.3754161270948424 y[1] (numeric) -1.3754161270946796 absolute error 1.6275869541004795e-13 relative error 1.1833414790171706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998326 y[1] (closed_form) -1.3633587027975338 y[1] (numeric) -1.36335870279737 absolute error 1.638689184346731e-13 relative error 1.2019501404760427e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998315 y[1] (closed_form) -1.351271614606648 y[1] (numeric) -1.351271614606483 absolute error 1.6497914145929826e-13 relative error 1.2209176872802388e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998304 y[1] (closed_form) -1.3391549305809276 y[1] (numeric) -1.3391549305807608 absolute error 1.667554982986985e-13 relative error 1.2452293195557268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5499999999998293 y[1] (closed_form) -1.3270087189554776 y[1] (numeric) -1.3270087189553097 absolute error 1.6786572132332367e-13 relative error 1.2649933563017963e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999828 y[1] (closed_form) -1.3148330481411512 y[1] (numeric) -1.3148330481409825 absolute error 1.687538997430238e-13 relative error 1.2834625656968395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999827 y[1] (closed_form) -1.302627986723935 y[1] (numeric) -1.3026279867237645 absolute error 1.7053025658242404e-13 relative error 1.3091247717723448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999826 y[1] (closed_form) -1.2903936034643295 y[1] (numeric) -1.2903936034641577 absolute error 1.7186252421197423e-13 relative error 1.331861253423557e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.589999999999825 y[1] (closed_form) -1.2781299672967326 y[1] (numeric) -1.2781299672965594 absolute error 1.7319479184152442e-13 relative error 1.3550640097097047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.599999999999824 y[1] (closed_form) -1.2658371473288181 y[1] (numeric) -1.265837147328643 absolute error 1.751931932858497e-13 relative error 1.384010523435373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998227 y[1] (closed_form) -1.2535152128409128 y[1] (numeric) -1.2535152128407365 absolute error 1.7630341631047486e-13 relative error 1.4064720914787176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998216 y[1] (closed_form) -1.241164233285376 y[1] (numeric) -1.2411642332851989 absolute error 1.7719159473017498e-13 relative error 1.4276240805066287e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998205 y[1] (closed_form) -1.2287842782859717 y[1] (numeric) -1.228784278285793 absolute error 1.787459069646502e-13 relative error 1.4546565261559373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998194 y[1] (closed_form) -1.2163754176372414 y[1] (numeric) -1.2163754176370618 absolute error 1.7963408538435033e-13 relative error 1.4767980574063398e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998183 y[1] (closed_form) -1.20393772130388 y[1] (numeric) -1.2039377213036986 absolute error 1.8141044222375058e-13 relative error 1.5068091896587537e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999817 y[1] (closed_form) -1.1914712594201007 y[1] (numeric) -1.1914712594199173 absolute error 1.8340884366807586e-13 relative error 1.539347610930561e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999816 y[1] (closed_form) -1.1789761022890077 y[1] (numeric) -1.1789761022888232 absolute error 1.8451906669270102e-13 relative error 1.5650789387032802e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999815 y[1] (closed_form) -1.166452320381963 y[1] (numeric) -1.1664523203817774 absolute error 1.8562928971732617e-13 relative error 1.5914005782640182e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.689999999999814 y[1] (closed_form) -1.1538999843379503 y[1] (numeric) -1.1538999843377633 absolute error 1.8696155734687636e-13 relative error 1.620257906963622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998128 y[1] (closed_form) -1.1413191649629413 y[1] (numeric) -1.1413191649627532 absolute error 1.8807178037150152e-13 relative error 1.6478456346398795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998117 y[1] (closed_form) -1.1287099332292565 y[1] (numeric) -1.1287099332290675 absolute error 1.8895995879120164e-13 relative error 1.6741232909201418e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998106 y[1] (closed_form) -1.116072360274929 y[1] (numeric) -1.1160723602747384 absolute error 1.9051427102567686e-13 relative error 1.7070064433702696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998095 y[1] (closed_form) -1.1034065174030614 y[1] (numeric) -1.1034065174028693 absolute error 1.9206858326015208e-13 relative error 1.740687409679235e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998084 y[1] (closed_form) -1.090712476081186 y[1] (numeric) -1.0907124760809928 absolute error 1.9317880628477724e-13 relative error 1.7711249345826517e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998073 y[1] (closed_form) -1.0779903079406208 y[1] (numeric) -1.0779903079404263 absolute error 1.9451107391432743e-13 relative error 1.804386110724121e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999806 y[1] (closed_form) -1.0652400847758257 y[1] (numeric) -1.0652400847756296 absolute error 1.9606538614880265e-13 relative error 1.8405746174118447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999805 y[1] (closed_form) -1.0524618785437547 y[1] (numeric) -1.0524618785435569 absolute error 1.978417429882029e-13 relative error 1.8797996110029926e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999804 y[1] (closed_form) -1.0396557613632103 y[1] (numeric) -1.039655761363011 absolute error 1.9917401061775308e-13 relative error 1.9157688344514487e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.789999999999803 y[1] (closed_form) -1.0268218055141922 y[1] (numeric) -1.0268218055139917 absolute error 2.0050627824730327e-13 relative error 1.9526881604047898e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998018 y[1] (closed_form) -1.0139600834372497 y[1] (numeric) -1.0139600834370477 absolute error 2.020605904817785e-13 relative error 1.99278643984493e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998007 y[1] (closed_form) -1.001070667732826 y[1] (numeric) -1.001070667732623 absolute error 2.0294876890147862e-13 relative error 2.02731710600518e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999997996 y[1] (closed_form) -0.9881536311606087 y[1] (numeric) -0.9881536311604044 absolute error 2.042810365310288e-13 relative error 2.0673003679710827e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997985 y[1] (closed_form) -0.9752090466388716 y[1] (numeric) -0.9752090466386659 absolute error 2.057243264630415e-13 relative error 2.1095407920187497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997974 y[1] (closed_form) -0.9622369872438215 y[1] (numeric) -0.962236987243614 absolute error 2.0750068330244176e-13 relative error 2.1564405240417464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997963 y[1] (closed_form) -0.9492375262089368 y[1] (numeric) -0.9492375262087281 absolute error 2.0861090632706691e-13 relative error 2.1976681343416415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999795 y[1] (closed_form) -0.9362107369243129 y[1] (numeric) -0.9362107369241025 absolute error 2.1038726316646716e-13 relative error 2.2472212170695894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999794 y[1] (closed_form) -0.9231566929359977 y[1] (numeric) -0.9231566929357858 absolute error 2.1183055309847987e-13 relative error 2.2946326958295264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999793 y[1] (closed_form) -0.9100754679453313 y[1] (numeric) -0.9100754679451185 absolute error 2.128297538206425e-13 relative error 2.3385945596484016e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.889999999999792 y[1] (closed_form) -0.8969671358082842 y[1] (numeric) -0.8969671358080701 absolute error 2.141620214501927e-13 relative error 2.3876239485319027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997907 y[1] (closed_form) -0.8838317705347898 y[1] (numeric) -0.8838317705345741 absolute error 2.1571633368466792e-13 relative error 2.44069449499583e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997896 y[1] (closed_form) -0.8706694462880795 y[1] (numeric) -0.8706694462878624 absolute error 2.1715962361668062e-13 relative error 2.494168418824114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997885 y[1] (closed_form) -0.8574802373840162 y[1] (numeric) -0.8574802373837977 absolute error 2.184918912462308e-13 relative error 2.5480691183367857e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997874 y[1] (closed_form) -0.8442642182904241 y[1] (numeric) -0.8442642182902041 absolute error 2.199351811782435e-13 relative error 2.6050515515580755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997863 y[1] (closed_form) -0.8310214636264193 y[1] (numeric) -0.8310214636261977 absolute error 2.2160051571518125e-13 relative error 2.6666039977855546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997852 y[1] (closed_form) -0.8177520481617373 y[1] (numeric) -0.8177520481615141 absolute error 2.2315482794965646e-13 relative error 2.728881308842901e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999784 y[1] (closed_form) -0.8044560468160613 y[1] (numeric) -0.8044560468158366 absolute error 2.2470914018413168e-13 relative error 2.7933053778823962e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999783 y[1] (closed_form) -0.791133534658347 y[1] (numeric) -0.7911335346581209 absolute error 2.2615243011614439e-13 relative error 2.8585873333483312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999782 y[1] (closed_form) -0.7777845869061477 y[1] (numeric) -0.77778458690592 absolute error 2.277067423506196e-13 relative error 2.9276324857038613e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.989999999999781 y[1] (closed_form) -0.7644092789249362 y[1] (numeric) -0.764409278924707 absolute error 2.291500322826323e-13 relative error 2.9977400667468154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997797 y[1] (closed_form) -0.7510076862274282 y[1] (numeric) -0.7510076862271975 absolute error 2.3070434451710753e-13 relative error 3.0719305374358465e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997786 y[1] (closed_form) -0.7375798844729007 y[1] (numeric) -0.7375798844726684 absolute error 2.3225865675158275e-13 relative error 3.1489288366040865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997775 y[1] (closed_form) -0.7241259494665129 y[1] (numeric) -0.7241259494662792 absolute error 2.3370194668359545e-13 relative error 3.227365996975682e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997764 y[1] (closed_form) -0.7106459571586228 y[1] (numeric) -0.7106459571583877 absolute error 2.3503421431314564e-13 relative error 3.3073320398934436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997753 y[1] (closed_form) -0.6971399836441046 y[1] (numeric) -0.6971399836438679 absolute error 2.3669954885008337e-13 relative error 3.395294408632289e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997742 y[1] (closed_form) -0.683608105161662 y[1] (numeric) -0.6836081051614241 absolute error 2.3792079417717105e-13 relative error 3.480368245793497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999773 y[1] (closed_form) -0.6700503980931445 y[1] (numeric) -0.670050398092905 absolute error 2.3947510641164627e-13 relative error 3.573986480616292e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999772 y[1] (closed_form) -0.6564669389628581 y[1] (numeric) -0.6564669389626173 absolute error 2.4080737404119645e-13 relative error 3.6682330784493773e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999771 y[1] (closed_form) -0.6428578044368778 y[1] (numeric) -0.6428578044366354 absolute error 2.4236168627567167e-13 relative error 3.7700667955329954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.08999999999977 y[1] (closed_form) -0.6292230713223563 y[1] (numeric) -0.6292230713221124 absolute error 2.439159985101469e-13 relative error 3.8764630482722185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997687 y[1] (closed_form) -0.6155628165668345 y[1] (numeric) -0.6155628165665888 absolute error 2.4569235534954714e-13 relative error 3.991344973041775e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997676 y[1] (closed_form) -0.6018771172575468 y[1] (numeric) -0.6018771172572995 absolute error 2.4724666758402236e-13 relative error 4.1079260283328574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997665 y[1] (closed_form) -0.5881660506207287 y[1] (numeric) -0.5881660506204802 absolute error 2.4846791291111003e-13 relative error 4.224451796374275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997654 y[1] (closed_form) -0.5744296940209235 y[1] (numeric) -0.5744296940206732 absolute error 2.502442697505103e-13 relative error 4.356395088123616e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997643 y[1] (closed_form) -0.5606681249602807 y[1] (numeric) -0.5606681249600292 absolute error 2.5157653738006047e-13 relative error 4.4870847151848137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999763 y[1] (closed_form) -0.5468814210778647 y[1] (numeric) -0.5468814210776117 absolute error 2.530198273120732e-13 relative error 4.626593948161357e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999762 y[1] (closed_form) -0.533069660148952 y[1] (numeric) -0.5330696601486975 absolute error 2.544631172440859e-13 relative error 4.773543427194544e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999761 y[1] (closed_form) -0.519232920084332 y[1] (numeric) -0.5192329200840761 absolute error 2.559064071760986e-13 relative error 4.928547425970895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.17999999999976 y[1] (closed_form) -0.5053712789296074 y[1] (numeric) -0.5053712789293499 absolute error 2.575717417130363e-13 relative error 5.096683417755388e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.189999999999759 y[1] (closed_form) -0.49148481486448947 y[1] (numeric) -0.4914848148642304 absolute error 2.590705427962803e-13 relative error 5.2711810204697846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997577 y[1] (closed_form) -0.4775736062020963 y[1] (numeric) -0.4775736062018355 absolute error 2.6084689963568053e-13 relative error 5.461920345851297e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997566 y[1] (closed_form) -0.4636377313882467 y[1] (numeric) -0.4636377313879845 absolute error 2.62234678416462e-13 relative error 5.656025397917165e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997555 y[1] (closed_form) -0.44967726900075533 y[1] (numeric) -0.4496772690004917 absolute error 2.636224571972434e-13 relative error 5.86248128092062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997544 y[1] (closed_form) -0.43569229774872476 y[1] (numeric) -0.4356922977484595 absolute error 2.652322805829499e-13 relative error 6.087605448924331e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997533 y[1] (closed_form) -0.4216828964718369 y[1] (numeric) -0.4216828964715701 absolute error 2.667865928174251e-13 relative error 6.326711257430454e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999752 y[1] (closed_form) -0.40764914413964415 y[1] (numeric) -0.4076491441393758 absolute error 2.6834090505190034e-13 relative error 6.582643651030887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999751 y[1] (closed_form) -0.39359111985085815 y[1] (numeric) -0.3935911198505882 absolute error 2.699507284376068e-13 relative error 6.858659020048474e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.26999999999975 y[1] (closed_form) -0.37950890283263794 y[1] (numeric) -0.37950890283236643 absolute error 2.7150504067208203e-13 relative error 7.154115190594482e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999749 y[1] (closed_form) -0.3654025724398773 y[1] (numeric) -0.3654025724396043 absolute error 2.73003841755326e-13 relative error 7.471316907607309e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.289999999999748 y[1] (closed_form) -0.3512722081544901 y[1] (numeric) -0.35127220815421556 absolute error 2.745581539898012e-13 relative error 7.816108067081985e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997467 y[1] (closed_form) -0.33711788958469535 y[1] (numeric) -0.3371178895844192 absolute error 2.761679773755077e-13 relative error 8.192029729295188e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997456 y[1] (closed_form) -0.3229396964643003 y[1] (numeric) -0.3229396964640224 absolute error 2.7794433421490794e-13 relative error 8.606694601437255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997445 y[1] (closed_form) -0.3087377086519827 y[1] (numeric) -0.3087377086517035 absolute error 2.791655795419956e-13 relative error 9.042160115811394e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997434 y[1] (closed_form) -0.2945120061305737 y[1] (numeric) -0.2945120061302928 absolute error 2.808864252301646e-13 relative error 9.537350579372709e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997423 y[1] (closed_form) -0.28026266900633456 y[1] (numeric) -0.280262669006053 absolute error 2.815525590449397e-13 relative error 1.0046024325793314e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999741 y[1] (closed_form) -0.26598977750824115 y[1] (numeric) -0.2659897775079579 absolute error 2.832734047331087e-13 relative error 1.064978539351318e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.35999999999974 y[1] (closed_form) -0.2516934119872556 y[1] (numeric) -0.2516934119869707 absolute error 2.8488322811881517e-13 relative error 1.1318660503249093e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999739 y[1] (closed_form) -0.23737365291560697 y[1] (numeric) -0.2373736529153208 absolute error 2.861599845971341e-13 relative error 1.2055254704230888e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.379999999999738 y[1] (closed_form) -0.2230305808860673 y[1] (numeric) -0.22303058088577937 absolute error 2.8793634143653435e-13 relative error 1.2910173138257816e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.389999999999737 y[1] (closed_form) -0.20866427661122366 y[1] (numeric) -0.2086642766109341 absolute error 2.8957392039785645e-13 relative error 1.3877503380100896e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997357 y[1] (closed_form) -0.19427482092275405 y[1] (numeric) -0.1942748209224629 absolute error 2.911559882079473e-13 relative error 1.4986810273458666e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997346 y[1] (closed_form) -0.17986229477069893 y[1] (numeric) -0.17986229477040627 absolute error 2.9265478929119126e-13 relative error 1.6271047228897424e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997335 y[1] (closed_form) -0.1654267792227333 y[1] (numeric) -0.16542677922243879 absolute error 2.945144128574384e-13 relative error 1.780330936993577e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997324 y[1] (closed_form) -0.15096835546343534 y[1] (numeric) -0.1509683554631395 absolute error 2.958466804869886e-13 relative error 1.9596602187181067e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997313 y[1] (closed_form) -0.13648710479355897 y[1] (numeric) -0.13648710479326115 absolute error 2.9781732635569824e-13 relative error 2.182018050761325e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.44999999999973 y[1] (closed_form) -0.12198310862929795 y[1] (numeric) -0.12198310862899878 absolute error 2.9917734956086406e-13 relative error 2.4526129307792334e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999729 y[1] (closed_form) -0.10745644850155767 y[1] (numeric) -0.10745644850125675 absolute error 3.0091207303684087e-13 relative error 2.8003165676230115e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999728 y[1] (closed_form) -0.0929072060552174 y[1] (numeric) -0.092907206054915 absolute error 3.0241087412008483e-13 relative error 3.2549775949602166e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.479999999999727 y[1] (closed_form) -0.07833546304839833 y[1] (numeric) -0.07833546304809418 absolute error 3.0415947538386945e-13 relative error 3.8827813553096547e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997258 y[1] (closed_form) -0.0637413013517254 y[1] (numeric) -0.06374130135141994 absolute error 3.05463987437804e-13 relative error 4.792245858807454e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997247 y[1] (closed_form) -0.04912480294759325 y[1] (numeric) -0.04912480294728606 absolute error 3.071917720198769e-13 relative error 6.253292707302901e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997236 y[1] (closed_form) -0.0344860499294255 y[1] (numeric) -0.03448604992911662 absolute error 3.0887792323852636e-13 relative error 8.956604884312187e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997225 y[1] (closed_form) -0.01982512450093732 y[1] (numeric) -0.01982512450062714 absolute error 3.1017896584550897e-13 relative error 1.564575121991511e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997214 y[1] (closed_form) -0.005142108975396686 y[1] (numeric) -0.005142108975084731 absolute error 3.119553226849092e-13 relative error 6.066680503612694e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997203 y[1] (closed_form) 0.009562914225119012 y[1] (numeric) 0.009562914225432697 absolute error 3.136848419904581e-13 relative error 3.2802222691331756e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999719 y[1] (closed_form) 0.02428986257046284 y[1] (numeric) 0.024289862570778233 absolute error 3.1539354461429525e-13 relative error 1.2984575095860062e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999718 y[1] (closed_form) 0.03903865342316193 y[1] (numeric) 0.039038653423478745 absolute error 3.1681601786459623e-13 relative error 8.115444311832408e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999717 y[1] (closed_form) 0.05380920403916001 y[1] (numeric) 0.05380920403947862 absolute error 3.186131913857082e-13 relative error 5.921165292722697e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.579999999999716 y[1] (closed_form) 0.06860143156856435 y[1] (numeric) 0.06860143156888444 absolute error 3.2009117578724045e-13 relative error 4.665954754418241e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997148 y[1] (closed_form) 0.08341525305638897 y[1] (numeric) 0.08341525305671066 absolute error 3.216871213851391e-13 relative error 3.8564544204844357e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997137 y[1] (closed_form) 0.0982505854433029 y[1] (numeric) 0.09825058544362622 absolute error 3.233247003464612e-13 relative error 3.290817035721797e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997125 y[1] (closed_form) 0.1131073455663767 y[1] (numeric) 0.11310734556670193 absolute error 3.252398350639396e-13 relative error 2.8754970195377244e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997114 y[1] (closed_form) 0.12798545015983254 y[1] (numeric) 0.12798545016015922 absolute error 3.266831249959523e-13 relative error 2.552502058538525e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997103 y[1] (closed_form) 0.14288481585579071 y[1] (numeric) 0.14288481585611926 absolute error 3.2854274856219945e-13 relative error 2.2993538298274298e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997092 y[1] (closed_form) 0.15780535918502347 y[1] (numeric) 0.15780535918535335 absolute error 3.2987501619174964e-13 relative error 2.0903917198716812e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999708 y[1] (closed_form) 0.17274699657770265 y[1] (numeric) 0.17274699657803422 absolute error 3.31568106304303e-13 relative error 1.9193856499563606e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999707 y[1] (closed_form) 0.18770964436415483 y[1] (numeric) 0.18770964436448806 absolute error 3.3323344084124074e-13 relative error 1.77526009369434e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999706 y[1] (closed_form) 0.20269321877561297 y[1] (numeric) 0.20269321877594773 absolute error 3.3475999750010033e-13 relative error 1.651559926485202e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.679999999999705 y[1] (closed_form) 0.2176976359449696 y[1] (numeric) 0.21769763594530628 absolute error 3.366751322175787e-13 relative error 1.5465263587092175e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997037 y[1] (closed_form) 0.23272281190753397 y[1] (numeric) 0.2327228119078722 absolute error 3.3822944445205394e-13 relative error 1.4533575014830956e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997026 y[1] (closed_form) 0.24776866260178498 y[1] (numeric) 0.2477686626021249 absolute error 3.399225345646073e-13 relative error 1.371935138992668e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997015 y[1] (closed_form) 0.26283510387012976 y[1] (numeric) 0.2628351038704713 absolute error 3.415601135259294e-13 relative error 1.299522432493259e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997004 y[1] (closed_form) 0.27792205145965987 y[1] (numeric) 0.2779220514600031 absolute error 3.4322544806286714e-13 relative error 1.2349701877207323e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999996993 y[1] (closed_form) 0.2930294210229103 y[1] (numeric) 0.29302942102325524 absolute error 3.4494629375103614e-13 relative error 1.1771729014339032e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996982 y[1] (closed_form) 0.3081571281186184 y[1] (numeric) 0.30815712811896506 absolute error 3.4666713943920513e-13 relative error 1.1249687507009837e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999697 y[1] (closed_form) 0.3233050882124837 y[1] (numeric) 0.32330508821283205 absolute error 3.4833247397614286e-13 relative error 1.0774110481899084e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999696 y[1] (closed_form) 0.33847321667792896 y[1] (numeric) 0.33847321667827884 absolute error 3.498867862106181e-13 relative error 1.0337207464883392e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999695 y[1] (closed_form) 0.35366142879686113 y[1] (numeric) 0.35366142879721285 absolute error 3.517186542012496e-13 relative error 9.945066822745676e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.779999999999694 y[1] (closed_form) 0.36886963976043496 y[1] (numeric) 0.3688696397607885 absolute error 3.535505221918811e-13 relative error 9.584701045645747e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996927 y[1] (closed_form) 0.3840977646698156 y[1] (numeric) 0.38409776467017076 absolute error 3.551603455775876e-13 relative error 9.246613186694704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996916 y[1] (closed_form) 0.39934571853694245 y[1] (numeric) 0.3993457185372993 absolute error 3.568256801145253e-13 relative error 8.935257436133406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996905 y[1] (closed_form) 0.4146134162852948 y[1] (numeric) 0.414613416285653 absolute error 3.5821345889530676e-13 relative error 8.639697723838746e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996894 y[1] (closed_form) 0.4299007727506561 y[1] (numeric) 0.42990077275101624 absolute error 3.601563491884008e-13 relative error 8.377662288997389e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996883 y[1] (closed_form) 0.4452077026818828 y[1] (numeric) 0.4452077026822446 absolute error 3.6176617257410726e-13 relative error 8.12578422149633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999687 y[1] (closed_form) 0.4605341207416691 y[1] (numeric) 0.4605341207420327 absolute error 3.6359804056473877e-13 relative error 7.895137931999062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999686 y[1] (closed_form) 0.4758799415073167 y[1] (numeric) 0.47587994150768215 absolute error 3.654299085553703e-13 relative error 7.679035754226084e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999685 y[1] (closed_form) 0.49124507947150287 y[1] (numeric) 0.49124507947187007 absolute error 3.6720626539477053e-13 relative error 7.475011572427814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999684 y[1] (closed_form) 0.5066294490430503 y[1] (numeric) 0.506629449043419 absolute error 3.687050664780145e-13 relative error 7.277608263286806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.879999999999683 y[1] (closed_form) 0.5220329645476969 y[1] (numeric) 0.5220329645480671 absolute error 3.702593787124897e-13 relative error 7.092643642404693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996817 y[1] (closed_form) 0.537455540228867 y[1] (numeric) 0.5374555402292394 absolute error 3.723688024592775e-13 relative error 6.92836475926381e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996806 y[1] (closed_form) 0.5528970902484446 y[1] (numeric) 0.5528970902488186 absolute error 3.7403413699621524e-13 relative error 6.764986533536337e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996795 y[1] (closed_form) 0.5683575286875436 y[1] (numeric) 0.5683575286879192 absolute error 3.7558844923069046e-13 relative error 6.608313082400839e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996784 y[1] (closed_form) 0.5838367695472826 y[1] (numeric) 0.5838367695476598 absolute error 3.772537837676282e-13 relative error 6.461631117549473e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996773 y[1] (closed_form) 0.5993347267495585 y[1] (numeric) 0.5993347267499373 absolute error 3.788080960021034e-13 relative error 6.320476339766549e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999676 y[1] (closed_form) 0.6148513141378206 y[1] (numeric) 0.6148513141382015 absolute error 3.809175197488912e-13 relative error 6.19527861435956e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999675 y[1] (closed_form) 0.6303864454778477 y[1] (numeric) 0.6303864454782303 absolute error 3.8258285428582894e-13 relative error 6.069020947869876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999674 y[1] (closed_form) 0.6459400344585224 y[1] (numeric) 0.6459400344589066 absolute error 3.8413716652030416e-13 relative error 5.946947797442498e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999673 y[1] (closed_form) 0.6615119946926086 y[1] (numeric) 0.6615119946929943 absolute error 3.856914787547794e-13 relative error 5.830453292596796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.979999999999672 y[1] (closed_form) 0.6771022397175286 y[1] (numeric) 0.6771022397179163 absolute error 3.8768988019910466e-13 relative error 5.725721426661355e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996707 y[1] (closed_form) 0.6927106829961427 y[1] (numeric) 0.692710682996532 absolute error 3.893552147360424e-13 relative error 5.620747944177591e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996696 y[1] (closed_form) 0.7083372379175261 y[1] (numeric) 0.708337237917917 absolute error 3.909095269705176e-13 relative error 5.518692312714928e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y[1] (closed_form) 0.7239818177977563 y[1] (numeric) 0.723981817798142 absolute error 3.856914787547794e-13 relative error 5.3273641585087707e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y[1] (closed_form) 0.7396443358806727 y[1] (numeric) 0.739644335881053 absolute error 3.8036240823657863e-13 relative error 5.1425041710580035e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y[1] (closed_form) 0.7553247053386776 y[1] (numeric) 0.7553247053390529 absolute error 3.7536640462576543e-13 relative error 4.9696031650051235e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y[1] (closed_form) 0.7710228392735115 y[1] (numeric) 0.7710228392738812 absolute error 3.6970426720017713e-13 relative error 4.7949846407731226e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y[1] (closed_form) 0.7867386507170334 y[1] (numeric) 0.786738650717398 absolute error 3.645972412869014e-13 relative error 4.634286633237195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y[1] (closed_form) 0.8024720526320062 y[1] (numeric) 0.8024720526323654 absolute error 3.5926817076870066e-13 relative error 4.477017854894096e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y[1] (closed_form) 0.8182229579128777 y[1] (numeric) 0.8182229579132315 absolute error 3.538280779480374e-13 relative error 4.324347960738986e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y[1] (closed_form) 0.8339912793865658 y[1] (numeric) 0.8339912793869144 absolute error 3.4861002973229915e-13 relative error 4.180020083527922e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y[1] (closed_form) 0.8497769298132427 y[1] (numeric) 0.8497769298135861 absolute error 3.433919815165609e-13 relative error 4.040966157930751e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y[1] (closed_form) 0.8655798218871203 y[1] (numeric) 0.8655798218874583 absolute error 3.3795188869589765e-13 relative error 3.9043411150585917e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y[1] (closed_form) 0.881399868237235 y[1] (numeric) 0.8813998682375678 absolute error 3.327338404801594e-13 relative error 3.77506115522361e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y[1] (closed_form) 0.8972369814282354 y[1] (numeric) 0.8972369814285629 absolute error 3.275157922644212e-13 relative error 3.650270765066734e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y[1] (closed_form) 0.9130910739611685 y[1] (numeric) 0.9130910739614908 absolute error 3.2229774404868294e-13 relative error 3.5297436722329567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y[1] (closed_form) 0.9289620582742673 y[1] (numeric) 0.9289620582745842 absolute error 3.169686735304822e-13 relative error 3.412073407167079e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y[1] (closed_form) 0.9448498467437383 y[1] (numeric) 0.9448498467440501 absolute error 3.1186164761720647e-13 relative error 3.300647702827955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y[1] (closed_form) 0.9607543516845515 y[1] (numeric) 0.960754351684858 absolute error 3.065325770990057e-13 relative error 3.1905406055308805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y[1] (closed_form) 0.9766754853512278 y[1] (numeric) 0.976675485351529 absolute error 3.0120350658080497e-13 relative error 3.0839671016467406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y[1] (closed_form) 0.9926131599386304 y[1] (numeric) 0.9926131599389263 absolute error 2.958744360626042e-13 relative error 2.980762778531941e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y[1] (closed_form) 1.0085672875827534 y[1] (numeric) 1.0085672875830445 absolute error 2.9110047705671604e-13 relative error 2.8862772037193516e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y[1] (closed_form) 1.0245377803615145 y[1] (numeric) 1.0245377803618 absolute error 2.8554936193359026e-13 relative error 2.7871042669879133e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y[1] (closed_form) 1.0405245502955447 y[1] (numeric) 1.040524550295825 absolute error 2.802202914153895e-13 relative error 2.693067562277097e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y[1] (closed_form) 1.0565275093489803 y[1] (numeric) 1.0565275093492548 absolute error 2.744471316873387e-13 relative error 2.5976335614436555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y[1] (closed_form) 1.0725465694302563 y[1] (numeric) 1.0725465694305252 absolute error 2.688960165642129e-13 relative error 2.5070801047552856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y[1] (closed_form) 1.0885816423928976 y[1] (numeric) 1.088581642393161 absolute error 2.6334490144108713e-13 relative error 2.4191561862297055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y[1] (closed_form) 1.1046326400363133 y[1] (numeric) 1.1046326400365716 absolute error 2.582378755278114e-13 relative error 2.3377715465597882e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y[1] (closed_form) 1.1206994741065919 y[1] (numeric) 1.1206994741068448 absolute error 2.5290880500961066e-13 relative error 2.256704949480114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y[1] (closed_form) 1.1367820562972923 y[1] (numeric) 1.1367820562975397 absolute error 2.473576898864849e-13 relative error 2.175946466749961e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y[1] (closed_form) 1.1528802982502413 y[1] (numeric) 1.1528802982504829 absolute error 2.4158453015843406e-13 relative error 2.0954866738992216e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y[1] (closed_form) 1.1689941115563274 y[1] (numeric) 1.1689941115565636 absolute error 2.362554596402333e-13 relative error 2.0210149675236364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y[1] (closed_form) 1.1851234077562975 y[1] (numeric) 1.1851234077565285 absolute error 2.3092638912203256e-13 relative error 1.9485429754461404e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y[1] (closed_form) 1.201268098341552 y[1] (numeric) 1.2012680983417774 absolute error 2.2537527399890678e-13 relative error 1.8761446700370683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y[1] (closed_form) 1.2174280947549418 y[1] (numeric) 1.2174280947551621 absolute error 2.2026824808563106e-13 relative error 1.8092916455157808e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y[1] (closed_form) 1.233603308391566 y[1] (numeric) 1.2336033083917812 absolute error 2.1516122217235534e-13 relative error 1.7441686538024395e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y[1] (closed_form) 1.2497936505995684 y[1] (numeric) 1.2497936505997782 absolute error 2.0983215165415459e-13 relative error 1.6789343709138785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y[1] (closed_form) 1.2659990326809356 y[1] (numeric) 1.26599903268114 absolute error 2.042810365310288e-13 relative error 1.6135955183033136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y[1] (closed_form) 1.2822193658922951 y[1] (numeric) 1.2822193658924939 absolute error 1.9872992140790302e-13 relative error 1.5498901880148025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y[1] (closed_form) 1.2984545614457148 y[1] (numeric) 1.2984545614459082 absolute error 1.9340085088970227e-13 relative error 1.4894695327217876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y[1] (closed_form) 1.3147045305095015 y[1] (numeric) 1.3147045305096896 absolute error 1.8807178037150152e-13 relative error 1.4305250800239963e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y[1] (closed_form) 1.3309691842090001 y[1] (numeric) 1.3309691842091826 absolute error 1.8252066524837574e-13 relative error 1.371336522391752e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y[1] (closed_form) 1.347248433627394 y[1] (numeric) 1.3472484336275712 absolute error 1.7719159473017498e-13 relative error 1.3152109908422469e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y[1] (closed_form) 1.3635421898065052 y[1] (numeric) 1.363542189806677 absolute error 1.7186252421197423e-13 relative error 1.2604122226416958e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y[1] (closed_form) 1.379850363747595 y[1] (numeric) 1.3798503637477613 absolute error 1.6631140908884845e-13 relative error 1.205285829958809e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y[1] (closed_form) 1.3961728664121644 y[1] (numeric) 1.396172866412325 absolute error 1.6053824936079764e-13 relative error 1.1498450745095995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y[1] (closed_form) 1.4125096087227564 y[1] (numeric) 1.4125096087229114 absolute error 1.5498713423767185e-13 relative error 1.0972465835316827e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y[1] (closed_form) 1.428860501563757 y[1] (numeric) 1.4288605015639064 absolute error 1.4943601911454607e-13 relative error 1.045840506830457e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y[1] (closed_form) 1.445225455782197 y[1] (numeric) 1.4452254557823414 absolute error 1.4432899320127035e-13 relative error 9.986607461405072e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y[1] (closed_form) 1.4616043821885567 y[1] (numeric) 1.461604382188695 absolute error 1.383337888682945e-13 relative error 9.46451656508844e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y[1] (closed_form) 1.4779971915575638 y[1] (numeric) 1.477997191557697 absolute error 1.3322676295501878e-13 relative error 9.01400650258475e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y[1] (closed_form) 1.4944037946290023 y[1] (numeric) 1.4944037946291295 absolute error 1.2723155862204294e-13 relative error 8.513867475398723e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y[1] (closed_form) 1.5108241021085103 y[1] (numeric) 1.5108241021086322 absolute error 1.219024881038422e-13 relative error 8.068608909118854e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y[1] (closed_form) 1.527258024668388 y[1] (numeric) 1.5272580246685046 absolute error 1.1657341758564144e-13 relative error 7.632856773560114e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y[1] (closed_form) 1.5437054729483997 y[1] (numeric) 1.5437054729485105 absolute error 1.1080025785759062e-13 relative error 7.177551663787763e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y[1] (closed_form) 1.5601663575565774 y[1] (numeric) 1.5601663575566826 absolute error 1.0524914273446484e-13 relative error 6.746020526894237e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y[1] (closed_form) 1.5766405890700268 y[1] (numeric) 1.576640589070127 absolute error 1.0014211682118912e-13 relative error 6.3516135202543164e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y[1] (closed_form) 1.5931280780357318 y[1] (numeric) 1.5931280780358263 absolute error 9.459100169806334e-14 relative error 5.937438615399369e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y[1] (closed_form) 1.6096287349713583 y[1] (numeric) 1.6096287349714475 absolute error 8.926193117986259e-14 relative error 5.545498116461676e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y[1] (closed_form) 1.6261424703660616 y[1] (numeric) 1.6261424703661451 absolute error 8.348877145181177e-14 relative error 5.134160934436303e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y[1] (closed_form) 1.6426691946812895 y[1] (numeric) 1.6426691946813674 absolute error 7.793765632868599e-14 relative error 4.74457404942128e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y[1] (closed_form) 1.659208818351591 y[1] (numeric) 1.659208818351663 absolute error 7.194245199571014e-14 relative error 4.335949230741452e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y[1] (closed_form) 1.67576125178542 y[1] (numeric) 1.6757612517854865 absolute error 6.661338147750939e-14 relative error 3.97511169365785e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y[1] (closed_form) 1.6923264053659424 y[1] (numeric) 1.6923264053660036 absolute error 6.128431095930864e-14 relative error 3.6213056042257256e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y[1] (closed_form) 1.708904189451844 y[1] (numeric) 1.7089041894518995 absolute error 5.551115123125783e-14 relative error 3.2483477759548265e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y[1] (closed_form) 1.7254945143781346 y[1] (numeric) 1.7254945143781848 absolute error 5.0182080713057076e-14 relative error 2.9082723992978104e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y[1] (closed_form) 1.742097290456958 y[1] (numeric) 1.7420972904570025 absolute error 4.440892098500626e-14 relative error 2.5491642302800235e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y[1] (closed_form) 1.7587124279783959 y[1] (numeric) 1.7587124279784347 absolute error 3.885780586188048e-14 relative error 2.209446254186464e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y[1] (closed_form) 1.7753398372112783 y[1] (numeric) 1.7753398372113118 absolute error 3.352873534367973e-14 relative error 1.8885812530600904e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y[1] (closed_form) 1.7919794284039894 y[1] (numeric) 1.7919794284040171 absolute error 2.7755575615628914e-14 relative error 1.5488780270401415e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y[1] (closed_form) 1.8086311117852756 y[1] (numeric) 1.8086311117852976 absolute error 2.19824158875781e-14 relative error 1.215417325530774e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y[1] (closed_form) 1.825294797565054 y[1] (numeric) 1.8252947975650702 absolute error 1.6209256159527285e-14 relative error 8.880349728246888e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y[1] (closed_form) 1.8419703959352196 y[1] (numeric) 1.8419703959352307 absolute error 1.1102230246251565e-14 relative error 6.02736627621784e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y[1] (closed_form) 1.8586578170704549 y[1] (numeric) 1.8586578170704606 absolute error 5.773159728050814e-15 relative error 3.106090682764968e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y[1] (closed_form) 1.8753569711290372 y[1] (numeric) 1.8753569711290372 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y[1] (closed_form) 1.8920677682536466 y[1] (numeric) 1.892067768253641 absolute error 5.551115123125783e-15 relative error 2.9338881071101316e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y[1] (closed_form) 1.9087901185721772 y[1] (numeric) 1.9087901185721656 absolute error 1.1546319456101628e-14 relative error 6.049025161937952e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y[1] (closed_form) 1.925523932198543 y[1] (numeric) 1.9255239321985258 absolute error 1.709743457922741e-14 relative error 8.879367476729173e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y[1] (closed_form) 1.9422691192334889 y[1] (numeric) 1.9422691192334662 absolute error 2.2648549702353193e-14 relative error 1.1660871028671547e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y[1] (closed_form) 1.959025589765399 y[1] (numeric) 1.959025589765371 absolute error 2.7977620220553945e-14 relative error 1.4281395999479708e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y[1] (closed_form) 1.9757932538711063 y[1] (numeric) 1.9757932538710723 absolute error 3.397282455352979e-14 relative error 1.7194524015591186e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y[1] (closed_form) 1.9925720216167007 y[1] (numeric) 1.9925720216166614 absolute error 3.930189507173054e-14 relative error 1.9724203012668226e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y[1] (closed_form) 2.0093618030583404 y[1] (numeric) 2.009361803058296 absolute error 4.440892098500626e-14 relative error 2.2101007851056915e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y[1] (closed_form) 2.02616250824306 y[1] (numeric) 2.02616250824301 absolute error 4.973799150320701e-14 relative error 2.454787871202699e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y[1] (closed_form) 2.04297404720958 y[1] (numeric) 2.042974047209525 absolute error 5.5067062021407764e-14 relative error 2.695436199819658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y[1] (closed_form) 2.059796329989117 y[1] (numeric) 2.0597963299890565 absolute error 6.039613253960852e-14 relative error 2.9321409918196925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y[1] (closed_form) 2.076629266606194 y[1] (numeric) 2.0766292666061275 absolute error 6.661338147750939e-14 relative error 3.2077647439870048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y[1] (closed_form) 2.0934727670794486 y[1] (numeric) 2.0934727670793762 absolute error 7.238654120556021e-14 relative error 3.4577254762451413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y[1] (closed_form) 2.110326741422444 y[1] (numeric) 2.110326741422366 absolute error 7.815970093361102e-14 relative error 3.703677700682894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y[1] (closed_form) 2.1271910996444787 y[1] (numeric) 2.127191099644395 absolute error 8.393286066166183e-14 relative error 3.945713230733698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y[1] (closed_form) 2.144065751751396 y[1] (numeric) 2.144065751751306 absolute error 9.015010959956271e-14 relative error 4.204633627766449e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y[1] (closed_form) 2.160950607746395 y[1] (numeric) 2.1609506077462997 absolute error 9.547918011776346e-14 relative error 4.4183878972290105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y[1] (closed_form) 2.177845577630839 y[1] (numeric) 2.177845577630737 absolute error 1.021405182655144e-13 relative error 4.689979827524207e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y[1] (closed_form) 2.1947505714050664 y[1] (numeric) 2.194750571404959 absolute error 1.0746958878371515e-13 relative error 4.896665260458903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y[1] (closed_form) 2.2116654990692006 y[1] (numeric) 2.211665499069088 absolute error 1.127986593019159e-13 relative error 5.100168147009041e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y[1] (closed_form) 2.2285902706239598 y[1] (numeric) 2.228590270623842 absolute error 1.176836406102666e-13 relative error 5.28063153471982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9399999999999835 y[1] (closed_form) 2.245524796071469 y[1] (numeric) 2.2455247960713445 absolute error 1.2434497875801753e-13 relative error 5.537457389718354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y[1] (closed_form) 2.2624689854160644 y[1] (numeric) 2.2624689854159343 absolute error 1.3011813848606835e-13 relative error 5.751156781587431e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y[1] (closed_form) 2.2794227486651115 y[1] (numeric) 2.279422748664975 absolute error 1.3633538742396922e-13 relative error 5.981136562044523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y[1] (closed_form) 2.2963859958298074 y[1] (numeric) 2.2963859958296657 absolute error 1.4166445794216997e-13 relative error 6.16901767383314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y[1] (closed_form) 2.3133586369259955 y[1] (numeric) 2.313358636925848 absolute error 1.474376176702208e-13 relative error 6.373314336861178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.99 y[1] (closed_form) 2.3303405819749727 y[1] (numeric) 2.33034058197482 absolute error 1.5276668818842154e-13 relative error 6.555551981116476e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; Iterations 4000 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.02500000000009%