##############ECHO OF PROBLEM################# ##############temp/sub_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(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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] 0.1 y[1] (closed_form) -3.325706312382627 y[1] (numeric) -3.325706312382627 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) -3.326500099483691 y[1] (numeric) -3.326500099483691 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) -3.3272741515511597 y[1] (numeric) -3.3272741515511615 absolute error 1.7763568394002505e-15 relative error 5.338775100849809e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) -3.328028480653558 y[1] (numeric) -3.3280284806535585 absolute error 4.440892098500626e-16 relative error 1.3343912542564912e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) -3.3287630991269133 y[1] (numeric) -3.3287630991269137 absolute error 4.440892098500626e-16 relative error 1.3340967699580088e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) -3.329478019574649 y[1] (numeric) -3.3294780195746503 absolute error 1.3322676295501878e-15 relative error 4.001430920154833e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) -3.3301732548674736 y[1] (numeric) -3.330173254867475 absolute error 1.3322676295501878e-15 relative error 4.000595547402552e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) -3.330848818143258 y[1] (numeric) -3.330848818143259 absolute error 8.881784197001252e-16 relative error 2.6665227639939232e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) -3.3315047228069226 y[1] (numeric) -3.3315047228069243 absolute error 1.7763568394002505e-15 relative error 5.331995561163727e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) -3.332140982530316 y[1] (numeric) -3.3321409825303183 absolute error 2.220446049250313e-15 relative error 6.663721795961289e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) -3.33275761125209 y[1] (numeric) -3.332757611252092 absolute error 2.220446049250313e-15 relative error 6.662488870338547e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) -3.3333546231775752 y[1] (numeric) -3.333354623177577 absolute error 1.7763568394002505e-15 relative error 5.3290364818937537e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) -3.3339320327786535 y[1] (numeric) -3.3339320327786557 absolute error 2.220446049250313e-15 relative error 6.660141920768824e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) -3.3344898547936275 y[1] (numeric) -3.33448985479363 absolute error 2.6645352591003757e-15 relative error 7.990833306239837e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) -3.3350281042270877 y[1] (numeric) -3.33502810422709 absolute error 2.220446049250313e-15 relative error 6.657953036245595e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) -3.3355467963497785 y[1] (numeric) -3.3355467963497802 absolute error 1.7763568394002505e-15 relative error 5.325534156331395e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) -3.3360459466984578 y[1] (numeric) -3.33604594669846 absolute error 2.220446049250313e-15 relative error 6.655921665131123e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) -3.3365255710757613 y[1] (numeric) -3.336525571075763 absolute error 1.7763568394002505e-15 relative error 5.3239719029862496e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) -3.336985685550058 y[1] (numeric) -3.3369856855500597 absolute error 1.7763568394002505e-15 relative error 5.323237816369121e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) -3.337426306455305 y[1] (numeric) -3.3374263064553062 absolute error 1.3322676295501878e-15 relative error 3.991901265275263e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) -3.3378474503909015 y[1] (numeric) -3.3378474503909024 absolute error 8.881784197001252e-16 relative error 2.6609317319043714e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) -3.338249134221539 y[1] (numeric) -3.3382491342215412 absolute error 2.220446049250313e-15 relative error 6.651528870292387e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) -3.338631375077051 y[1] (numeric) -3.338631375077053 absolute error 1.7763568394002505e-15 relative error 5.3206138678884685e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) -3.338994190352257 y[1] (numeric) -3.3389941903522584 absolute error 1.3322676295501878e-15 relative error 3.990026797290223e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) -3.3393375977068054 y[1] (numeric) -3.3393375977068076 absolute error 2.220446049250313e-15 relative error 6.649360791718516e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) -3.339661615065017 y[1] (numeric) -3.3396616150650194 absolute error 2.220446049250313e-15 relative error 6.648715663988266e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) -3.339966260615722 y[1] (numeric) -3.3399662606157245 absolute error 2.6645352591003757e-15 relative error 7.977731064292755e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) -3.340251552812096 y[1] (numeric) -3.340251552812099 absolute error 3.1086244689504383e-15 relative error 9.306557963675954e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) -3.3405175103714964 y[1] (numeric) -3.340517510371499 absolute error 2.6645352591003757e-15 relative error 7.97641458494871e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) -3.3407641522752898 y[1] (numeric) -3.340764152275292 absolute error 2.220446049250313e-15 relative error 6.646521418574361e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) -3.340991497768685 y[1] (numeric) -3.340991497768688 absolute error 2.6645352591003757e-15 relative error 7.975282968783106e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) -3.341199566360558 y[1] (numeric) -3.341199566360561 absolute error 3.1086244689504383e-15 relative error 9.303917372216545e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) -3.341388377823277 y[1] (numeric) -3.3413883778232796 absolute error 2.6645352591003757e-15 relative error 7.974335688676118e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) -3.341557952192523 y[1] (numeric) -3.3415579521925265 absolute error 3.552713678800501e-15 relative error 1.0631908019040732e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) -3.341708309767112 y[1] (numeric) -3.3417083097671156 absolute error 3.552713678800501e-15 relative error 1.0631429644582277e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) -3.3418394711088104 y[1] (numeric) -3.3418394711088144 absolute error 3.9968028886505635e-15 relative error 1.1959888927053815e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) -3.3419514570421502 y[1] (numeric) -3.3419514570421542 absolute error 3.9968028886505635e-15 relative error 1.195948816141094e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) -3.3420442886542423 y[1] (numeric) -3.3420442886542467 absolute error 4.440892098500626e-15 relative error 1.328795107107591e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) -3.342117987294586 y[1] (numeric) -3.342117987294591 absolute error 4.884981308350689e-15 relative error 1.4616423857330772e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) -3.342172574574878 y[1] (numeric) -3.342172574574883 absolute error 4.884981308350689e-15 relative error 1.4616185129135815e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) -3.342208072368816 y[1] (numeric) -3.342208072368821 absolute error 4.884981308350689e-15 relative error 1.461602988975016e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) -3.342224502811903 y[1] (numeric) -3.3422245028119084 absolute error 5.329070518200751e-15 relative error 1.5944681494966186e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) -3.342221888301249 y[1] (numeric) -3.3422218883012538 absolute error 4.884981308350689e-15 relative error 1.4615969470637326e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) -3.3422002514953664 y[1] (numeric) -3.342200251495371 absolute error 4.440892098500626e-15 relative error 1.328733099255104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) -3.3421596153139697 y[1] (numeric) -3.342159615313975 absolute error 5.329070518200751e-15 relative error 1.5944991058424141e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) -3.3421000029377677 y[1] (numeric) -3.3421000029377734 absolute error 5.773159728050814e-15 relative error 1.7274048421579546e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) -3.342021437808254 y[1] (numeric) -3.3420214378082593 absolute error 5.329070518200751e-15 relative error 1.5945650311853274e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) -3.341923943627496 y[1] (numeric) -3.3419239436275023 absolute error 6.217248937900877e-15 relative error 1.8603801411328214e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) -3.341807544357925 y[1] (numeric) -3.3418075443579314 absolute error 6.217248937900877e-15 relative error 1.8604449404627283e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) -3.3416722642221153 y[1] (numeric) -3.3416722642221224 absolute error 7.105427357601002e-15 relative error 2.1263088644795708e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) -3.34151812770257 y[1] (numeric) -3.3415181277025767 absolute error 6.661338147750939e-15 relative error 1.9935065120627912e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) -3.341345159541499 y[1] (numeric) -3.341345159541506 absolute error 6.661338147750939e-15 relative error 1.9936097079731238e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) -3.341153384740597 y[1] (numeric) -3.3411533847406036 absolute error 6.661338147750939e-15 relative error 1.993724136752889e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) -3.3409428285608183 y[1] (numeric) -3.340942828560825 absolute error 6.661338147750939e-15 relative error 1.993849787193291e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) -3.3407135165221495 y[1] (numeric) -3.340713516522157 absolute error 7.549516567451064e-15 relative error 2.259851534743539e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) -3.3404654744033797 y[1] (numeric) -3.3404654744033877 absolute error 7.993605777301127e-15 relative error 2.3929616511689336e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) -3.3401987282418686 y[1] (numeric) -3.3401987282418757 absolute error 7.105427357601002e-15 relative error 2.1272468902893636e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) -3.339913304333311 y[1] (numeric) -3.339913304333318 absolute error 6.661338147750939e-15 relative error 1.9944643889733018e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) -3.3396092292315034 y[1] (numeric) -3.3396092292315105 absolute error 7.105427357601002e-15 relative error 2.1276223862981936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) -3.3392865297481005 y[1] (numeric) -3.339286529748107 absolute error 6.661338147750939e-15 relative error 1.994838744267159e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) -3.3389452329523786 y[1] (numeric) -3.338945232952385 absolute error 6.661338147750939e-15 relative error 1.9950426505980209e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) -3.3385853661709866 y[1] (numeric) -3.338585366170993 absolute error 6.661338147750939e-15 relative error 1.9952576966425777e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) -3.338206956987707 y[1] (numeric) -3.3382069569877126 absolute error 5.773159728050814e-15 relative error 1.729419356689716e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) -3.3378100332431995 y[1] (numeric) -3.337810033243205 absolute error 5.329070518200751e-15 relative error 1.596576936711624e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) -3.3373946230347578 y[1] (numeric) -3.337394623034763 absolute error 5.329070518200751e-15 relative error 1.596775664891233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) -3.3369607547160522 y[1] (numeric) -3.3369607547160585 absolute error 6.217248937900877e-15 relative error 1.8631471554210451e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) -3.336508456896877 y[1] (numeric) -3.3365084568968837 absolute error 6.661338147750939e-15 relative error 1.9964997043485162e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) -3.33603775844289 y[1] (numeric) -3.3360377584428966 absolute error 6.661338147750939e-15 relative error 1.99678140059786e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) -3.335548688475355 y[1] (numeric) -3.3355486884753622 absolute error 7.105427357601002e-15 relative error 2.130212454146133e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) -3.335041276370881 y[1] (numeric) -3.335041276370888 absolute error 6.661338147750939e-15 relative error 1.9973780219594946e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) -3.334515551761154 y[1] (numeric) -3.3345155517611604 absolute error 6.217248937900877e-15 relative error 1.8645134027391718e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) -3.333971544532673 y[1] (numeric) -3.3339715445326794 absolute error 6.217248937900877e-15 relative error 1.8648176371200422e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) -3.3334092848264807 y[1] (numeric) -3.333409284826487 absolute error 6.217248937900877e-15 relative error 1.865132183497987e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) -3.332828803037892 y[1] (numeric) -3.3328288030378976 absolute error 5.773159728050814e-15 relative error 1.7322101041579296e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) -3.3322301298162187 y[1] (numeric) -3.332230129816225 absolute error 6.217248937900877e-15 relative error 1.8657921859207767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) -3.3316132960644977 y[1] (numeric) -3.331613296064504 absolute error 6.217248937900877e-15 relative error 1.8661376292515897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) -3.330978332939209 y[1] (numeric) -3.330978332939215 absolute error 5.773159728050814e-15 relative error 1.7331724049242488e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) -3.330325271849998 y[1] (numeric) -3.3303252718500036 absolute error 5.773159728050814e-15 relative error 1.7335122718640092e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) -3.3296541444593895 y[1] (numeric) -3.3296541444593952 absolute error 5.773159728050814e-15 relative error 1.7338616797956228e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) -3.3289649826825065 y[1] (numeric) -3.3289649826825127 absolute error 6.217248937900877e-15 relative error 1.8676222099792014e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) -3.3282578186867817 y[1] (numeric) -3.3282578186867875 absolute error 5.773159728050814e-15 relative error 1.7345890981272322e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) -3.3275326848916653 y[1] (numeric) -3.327532684891671 absolute error 5.773159728050814e-15 relative error 1.7349670986744256e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) -3.3267896139683386 y[1] (numeric) -3.326789613968344 absolute error 5.329070518200751e-15 relative error 1.6018658035438573e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) -3.3260286388394134 y[1] (numeric) -3.326028638839419 absolute error 5.773159728050814e-15 relative error 1.7357516590913373e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) -3.325249792678642 y[1] (numeric) -3.3252497926786484 absolute error 6.217248937900877e-15 relative error 1.8697088416003166e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) -3.3244531089106157 y[1] (numeric) -3.324453108910622 absolute error 6.217248937900877e-15 relative error 1.8701569052776312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) -3.3236386212104616 y[1] (numeric) -3.323638621210468 absolute error 6.217248937900877e-15 relative error 1.8706152041393023e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) -3.322806363503544 y[1] (numeric) -3.3228063635035503 absolute error 6.217248937900877e-15 relative error 1.871083733975233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) -3.3219563699651573 y[1] (numeric) -3.321956369965163 absolute error 5.773159728050814e-15 relative error 1.7378794556869411e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) -3.3210886750202158 y[1] (numeric) -3.3210886750202215 absolute error 5.773159728050814e-15 relative error 1.7383335083685088e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) -3.32020331334295 y[1] (numeric) -3.3202033133429563 absolute error 6.217248937900877e-15 relative error 1.8725506696880658e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) -3.3193003198565885 y[1] (numeric) -3.3193003198565942 absolute error 5.773159728050814e-15 relative error 1.7392700785508452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) -3.3183797297330453 y[1] (numeric) -3.3183797297330506 absolute error 5.329070518200751e-15 relative error 1.605925467315177e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) -3.317441578392605 y[1] (numeric) -3.3174415783926112 absolute error 6.217248937900877e-15 relative error 1.8741095482722294e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) -3.3164859015036035 y[1] (numeric) -3.3164859015036097 absolute error 6.217248937900877e-15 relative error 1.874649590725577e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) -3.3155127349821063 y[1] (numeric) -3.3155127349821116 absolute error 5.329070518200751e-15 relative error 1.6073141454030676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) -3.3145221149915844 y[1] (numeric) -3.3145221149915893 absolute error 4.884981308350689e-15 relative error 1.4738116503298974e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) -3.3135140779425893 y[1] (numeric) -3.313514077942595 absolute error 5.773159728050814e-15 relative error 1.7423072883503353e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) -3.3124886604924293 y[1] (numeric) -3.3124886604924346 absolute error 5.329070518200751e-15 relative error 1.6087815127519682e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) -3.311445899544832 y[1] (numeric) -3.3114458995448373 absolute error 5.329070518200751e-15 relative error 1.6092881115567214e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) -3.3103858322496182 y[1] (numeric) -3.3103858322496245 absolute error 6.217248937900877e-15 relative error 1.8781040195776393e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) -3.309308496002366 y[1] (numeric) -3.309308496002373 absolute error 7.105427357601002e-15 relative error 2.1471033498944976e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) -3.308213928444074 y[1] (numeric) -3.308213928444081 absolute error 7.105427357601002e-15 relative error 2.1478137482308592e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) -3.3071021674608203 y[1] (numeric) -3.3071021674608274 absolute error 7.105427357601002e-15 relative error 2.148535786862769e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) -3.305973251183426 y[1] (numeric) -3.3059732511834334 absolute error 7.549516567451064e-15 relative error 2.283598805510176e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) -3.304827217987109 y[1] (numeric) -3.3048272179871168 absolute error 7.549516567451064e-15 relative error 2.284390701686757e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) -3.303664106491139 y[1] (numeric) -3.3036641064911465 absolute error 7.549516567451064e-15 relative error 2.2851949605341374e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) -3.3024839555584897 y[1] (numeric) -3.302483955558497 absolute error 7.105427357601002e-15 relative error 2.1515403112380568e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) -3.3012868042954913 y[1] (numeric) -3.3012868042954975 absolute error 6.217248937900877e-15 relative error 1.883280461973574e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) -3.300072692051474 y[1] (numeric) -3.3000726920514816 absolute error 7.549516567451064e-15 relative error 2.2876819003516995e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) -3.29884165841842 y[1] (numeric) -3.2988416584184272 absolute error 7.105427357601002e-15 relative error 2.1539158569397938e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) -3.297593743230601 y[1] (numeric) -3.2975937432306095 absolute error 8.43769498715119e-15 relative error 2.5587430242043433e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) -3.296328986564225 y[1] (numeric) -3.296328986564232 absolute error 7.105427357601002e-15 relative error 2.1555577087610461e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) -3.29504742873707 y[1] (numeric) -3.2950474287370763 absolute error 6.217248937900877e-15 relative error 1.8868465696968227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) -3.293749110308127 y[1] (numeric) -3.293749110308133 absolute error 5.773159728050814e-15 relative error 1.752762440218387e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) -3.292434072077231 y[1] (numeric) -3.2924340720772367 absolute error 5.773159728050814e-15 relative error 1.7534625148647144e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) -3.2911023550846954 y[1] (numeric) -3.2911023550847007 absolute error 5.329070518200751e-15 relative error 1.6192357281041202e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) -3.289754000610942 y[1] (numeric) -3.289754000610947 absolute error 5.329070518200751e-15 relative error 1.6198993958852506e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) -3.288389050176131 y[1] (numeric) -3.2883890501761357 absolute error 4.884981308350689e-15 relative error 1.4855241377503804e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) -3.2870075455397827 y[1] (numeric) -3.287007545539788 absolute error 5.329070518200751e-15 relative error 1.6212529008130484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) -3.2856095287004097 y[1] (numeric) -3.285609528700414 absolute error 4.440892098500626e-15 relative error 1.3516189491504114e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) -3.2841950418951305 y[1] (numeric) -3.284195041895135 absolute error 4.440892098500626e-15 relative error 1.3522010848472717e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) -3.2827641275992945 y[1] (numeric) -3.2827641275993 absolute error 5.329070518200751e-15 relative error 1.62334859010962e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) -3.2813168285260996 y[1] (numeric) -3.2813168285261036 absolute error 3.9968028886505635e-15 relative error 1.2180484535672972e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) -3.2798531876262036 y[1] (numeric) -3.279853187626208 absolute error 4.440892098500626e-15 relative error 1.3539911223022532e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) -3.278373248087343 y[1] (numeric) -3.2783732480873478 absolute error 4.884981308350689e-15 relative error 1.490062582471556e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) -3.2768770533339415 y[1] (numeric) -3.2768770533339455 absolute error 3.9968028886505635e-15 relative error 1.2196987630598345e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) -3.275364647026719 y[1] (numeric) -3.2753646470267226 absolute error 3.552713678800501e-15 relative error 1.0846772990682278e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) -3.2738360730622977 y[1] (numeric) -3.273836073062302 absolute error 4.440892098500626e-15 relative error 1.3564796768662524e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) -3.272291375572813 y[1] (numeric) -3.2722913755728174 absolute error 4.440892098500626e-15 relative error 1.3571200082154206e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) -3.270730598925506 y[1] (numeric) -3.2707305989255118 absolute error 5.773159728050814e-15 relative error 1.765097905020793e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) -3.269153787722336 y[1] (numeric) -3.269153787722341 absolute error 4.884981308350689e-15 relative error 1.4942647625501039e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) -3.267560986799568 y[1] (numeric) -3.2675609867995723 absolute error 4.440892098500626e-15 relative error 1.3590846862357372e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) -3.2659522412273776 y[1] (numeric) -3.265952241227382 absolute error 4.440892098500626e-15 relative error 1.359754145342828e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) -3.2643275963094407 y[1] (numeric) -3.264327596309445 absolute error 4.440892098500626e-15 relative error 1.360430890429434e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) -3.262687097582527 y[1] (numeric) -3.2626870975825315 absolute error 4.440892098500626e-15 relative error 1.3611149232763034e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) -3.261030790816091 y[1] (numeric) -3.261030790816096 absolute error 4.884981308350689e-15 relative error 1.4979868703196744e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) -3.25935872201186 y[1] (numeric) -3.2593587220118647 absolute error 4.884981308350689e-15 relative error 1.498755345755684e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) -3.257670937403417 y[1] (numeric) -3.257670937403422 absolute error 4.884981308350689e-15 relative error 1.4995318441353526e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) -3.25596748345579 y[1] (numeric) -3.255967483455795 absolute error 4.884981308350689e-15 relative error 1.5003163677684859e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) -3.2542484068650284 y[1] (numeric) -3.2542484068650332 absolute error 4.884981308350689e-15 relative error 1.501108919050412e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) -3.2525137545577874 y[1] (numeric) -3.2525137545577913 absolute error 3.9968028886505635e-15 relative error 1.2288350458317955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) -3.250763573690901 y[1] (numeric) -3.250763573690905 absolute error 3.9968028886505635e-15 relative error 1.22949663918887e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) -3.2489979116509633 y[1] (numeric) -3.2489979116509664 absolute error 3.1086244689504383e-15 relative error 9.567948498221119e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) -3.247216816053895 y[1] (numeric) -3.2472168160538986 absolute error 3.552713678800501e-15 relative error 1.094079601102169e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) -3.245420334744522 y[1] (numeric) -3.2454203347445247 absolute error 2.6645352591003757e-15 relative error 8.210139163098966e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) -3.243608515796139 y[1] (numeric) -3.2436085157961427 absolute error 3.552713678800501e-15 relative error 1.0952966924026256e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) -3.2417814075100813 y[1] (numeric) -3.241781407510085 absolute error 3.552713678800501e-15 relative error 1.0959140152294345e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) -3.2399390584152865 y[1] (numeric) -3.2399390584152896 absolute error 3.1086244689504383e-15 relative error 9.59470043387459e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) -3.2380815172678603 y[1] (numeric) -3.2380815172678625 absolute error 2.220446049250313e-15 relative error 6.85728891446754e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) -3.2362088330506356 y[1] (numeric) -3.236208833050638 absolute error 2.220446049250313e-15 relative error 6.861256994831183e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) -3.2343210549727344 y[1] (numeric) -3.2343210549727353 absolute error 8.881784197001252e-16 relative error 2.746104683499371e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) -3.2324182324691213 y[1] (numeric) -3.2324182324691217 absolute error 4.440892098500626e-16 relative error 1.373860614289506e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) -3.2305004152001615 y[1] (numeric) -3.2305004152001624 absolute error 8.881784197001252e-16 relative error 2.749352439396278e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) -3.228567653051175 y[1] (numeric) -3.2285676530511758 absolute error 8.881784197001252e-16 relative error 2.750998322307874e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) -3.226619996131981 y[1] (numeric) -3.2266199961319817 absolute error 8.881784197001252e-16 relative error 2.7526588838005683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) -3.224657494776455 y[1] (numeric) -3.2246574947764564 absolute error 1.3322676295501878e-15 relative error 4.131501195734109e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) -3.222680199542072 y[1] (numeric) -3.222680199542072 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) -3.2206881612094507 y[1] (numeric) -3.2206881612094502 absolute error 4.440892098500626e-16 relative error 1.3788643532731706e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) -3.218681430781897 y[1] (numeric) -3.218681430781897 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) -3.2166600594849473 y[1] (numeric) -3.2166600594849464 absolute error 8.881784197001252e-16 relative error 2.7611821058963275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) -3.2146240987659045 y[1] (numeric) -3.214624098765903 absolute error 1.3322676295501878e-15 relative error 4.144396323233083e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) -3.212573600293376 y[1] (numeric) -3.2125736002933745 absolute error 1.3322676295501878e-15 relative error 4.1470415788404773e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) -3.210508615956809 y[1] (numeric) -3.2105086159568073 absolute error 1.7763568394002505e-15 relative error 5.532945249146616e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) -3.2084291978660238 y[1] (numeric) -3.208429197866022 absolute error 1.7763568394002505e-15 relative error 5.5365312115403175e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) -3.2063353983507437 y[1] (numeric) -3.2063353983507414 absolute error 2.220446049250313e-15 relative error 6.925183342929293e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) -3.2042272699601257 y[1] (numeric) -3.2042272699601235 absolute error 2.220446049250313e-15 relative error 6.929739566438259e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) -3.2021048654622843 y[1] (numeric) -3.202104865462282 absolute error 2.220446049250313e-15 relative error 6.934332704715308e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) -3.1999682378438217 y[1] (numeric) -3.1999682378438195 absolute error 2.220446049250313e-15 relative error 6.938962777788311e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) -3.197817440309346 y[1] (numeric) -3.197817440309343 absolute error 3.1086244689504383e-15 relative error 9.72108172832318e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) -3.1956525262809947 y[1] (numeric) -3.195652526280991 absolute error 3.552713678800501e-15 relative error 1.11173340955659e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) -3.193473549397954 y[1] (numeric) -3.19347354939795 absolute error 3.9968028886505635e-15 relative error 1.2515534657877648e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) -3.1912805635159756 y[1] (numeric) -3.191280563515971 absolute error 4.440892098500626e-15 relative error 1.3915705655186574e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) -3.189073622706892 y[1] (numeric) -3.1890736227068865 absolute error 5.329070518200751e-15 relative error 1.6710402921577665e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) -3.186852781258129 y[1] (numeric) -3.1868527812581235 absolute error 5.329070518200751e-15 relative error 1.6722048001529906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) -3.1846180936722197 y[1] (numeric) -3.184618093672213 absolute error 6.661338147750939e-15 relative error 2.0917227597830024e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) -3.1823696146663103 y[1] (numeric) -3.1823696146663036 absolute error 6.661338147750939e-15 relative error 2.0932006505628412e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) -3.1801073991716717 y[1] (numeric) -3.1801073991716646 absolute error 7.105427357601002e-15 relative error 2.2343356577994082e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) -3.1778315023332016 y[1] (numeric) -3.1778315023331936 absolute error 7.993605777301127e-15 relative error 2.515427822850937e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) -3.17554197950893 y[1] (numeric) -3.1755419795089215 absolute error 8.43769498715119e-15 relative error 2.657088157422503e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) -3.1732388862695204 y[1] (numeric) -3.1732388862695124 absolute error 7.993605777301127e-15 relative error 2.519068391569618e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) -3.170922278397771 y[1] (numeric) -3.170922278397763 absolute error 7.993605777301127e-15 relative error 2.5209087689592315e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) -3.168592211888109 y[1] (numeric) -3.1685922118881016 absolute error 7.549516567451064e-15 relative error 2.3826090776611604e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) -3.166248742946093 y[1] (numeric) -3.1662487429460855 absolute error 7.549516567451064e-15 relative error 2.3843725431459565e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) -3.1638919279878994 y[1] (numeric) -3.163891927987892 absolute error 7.549516567451064e-15 relative error 2.3861486862644627e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) -3.161521823639821 y[1] (numeric) -3.161521823639813 absolute error 7.993605777301127e-15 relative error 2.5284044277442904e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) -3.159138486737754 y[1] (numeric) -3.1591384867377466 absolute error 7.549516567451064e-15 relative error 2.389739037761203e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) -3.1567419743266885 y[1] (numeric) -3.1567419743266805 absolute error 7.993605777301127e-15 relative error 2.532232866136013e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) -3.154332343660193 y[1] (numeric) -3.1543323436601844 absolute error 8.43769498715119e-15 relative error 2.674954338311841e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) -3.1519096521998993 y[1] (numeric) -3.15190965219989 absolute error 9.325873406851315e-15 relative error 2.9588009923895663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) -3.1494739576149886 y[1] (numeric) -3.149473957614979 absolute error 9.769962616701378e-15 relative error 3.102093475984766e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) -3.147025317781668 y[1] (numeric) -3.147025317781659 absolute error 8.881784197001252e-15 relative error 2.822279232015205e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) -3.1445637907826525 y[1] (numeric) -3.144563790782643 absolute error 9.325873406851315e-15 relative error 2.9657129024341377e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) -3.1420894349066426 y[1] (numeric) -3.1420894349066324 absolute error 1.021405182655144e-14 relative error 3.2507196367740943e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) -3.1396023086477958 y[1] (numeric) -3.1396023086477856 absolute error 1.021405182655144e-14 relative error 3.253294787819977e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) -3.137102470705205 y[1] (numeric) -3.1371024707051944 absolute error 1.0658141036401503e-14 relative error 3.3974475287081093e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) -3.1345899799823678 y[1] (numeric) -3.1345899799823567 absolute error 1.1102230246251565e-14 relative error 3.5418444891200784e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) -3.1320648955866552 y[1] (numeric) -3.132064895586645 absolute error 1.021405182655144e-14 relative error 3.261123944444416e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) -3.1295272768287834 y[1] (numeric) -3.1295272768287736 absolute error 9.769962616701378e-15 relative error 3.1218653018424843e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) -3.1269771832222766 y[1] (numeric) -3.126977183222267 absolute error 9.769962616701378e-15 relative error 3.1244112266382644e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) -3.1244146744829324 y[1] (numeric) -3.1244146744829226 absolute error 9.769962616701378e-15 relative error 3.1269737325498366e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) -3.121839810528284 y[1] (numeric) -3.1218398105282734 absolute error 1.0658141036401503e-14 relative error 3.4140576337252584e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) -3.119252651477062 y[1] (numeric) -3.1192526514770518 absolute error 1.021405182655144e-14 relative error 3.2745189209712695e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) -3.116653257648653 y[1] (numeric) -3.1166532576486428 absolute error 1.021405182655144e-14 relative error 3.2772499800819654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) -3.1140416895625553 y[1] (numeric) -3.1140416895625447 absolute error 1.0658141036401503e-14 relative error 3.4226070486226225e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) -3.1114180079378375 y[1] (numeric) -3.1114180079378264 absolute error 1.1102230246251565e-14 relative error 3.568222019004711e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) -3.1087822736925874 y[1] (numeric) -3.1087822736925763 absolute error 1.1102230246251565e-14 relative error 3.571247282320747e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) -3.106134547943368 y[1] (numeric) -3.1061345479433564 absolute error 1.1546319456101628e-14 relative error 3.7172631377950676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) -3.103474892004664 y[1] (numeric) -3.1034748920046527 absolute error 1.1546319456101628e-14 relative error 3.720448805900723e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) -3.1008033673883344 y[1] (numeric) -3.100803367388323 absolute error 1.1546319456101628e-14 relative error 3.723654191535069e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) -3.0981200358030527 y[1] (numeric) -3.098120035803041 absolute error 1.1546319456101628e-14 relative error 3.7268793083121287e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) -3.095424959153758 y[1] (numeric) -3.095424959153746 absolute error 1.199040866595169e-14 relative error 3.87359048407676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) -3.092718199541093 y[1] (numeric) -3.092718199541081 absolute error 1.199040866595169e-14 relative error 3.876980666305409e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) -3.0899998192608478 y[1] (numeric) -3.089999819260836 absolute error 1.199040866595169e-14 relative error 3.8803913810001097e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) -3.0872698808033983 y[1] (numeric) -3.0872698808033854 absolute error 1.2878587085651816e-14 relative error 4.171513208395124e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) -3.084528446853142 y[1] (numeric) -3.0845284468531298 absolute error 1.2434497875801753e-14 relative error 4.031247592638517e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) -3.08177558028794 y[1] (numeric) -3.0817755802879265 absolute error 1.3322676295501878e-14 relative error 4.3230520680085015e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) -3.079011344178541 y[1] (numeric) -3.0790113441785274 absolute error 1.3766765505351941e-14 relative error 4.4711642688100646e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) -3.0762358017880254 y[1] (numeric) -3.076235801788011 absolute error 1.4210854715202004e-14 relative error 4.619559627692426e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) -3.0734490165712254 y[1] (numeric) -3.07344901657121 absolute error 1.554312234475219e-14 relative error 5.057224720809677e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) -3.070651052174161 y[1] (numeric) -3.0706510521741452 absolute error 1.554312234475219e-14 relative error 5.061832842825613e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) -3.0678419724334627 y[1] (numeric) -3.067841972433447 absolute error 1.554312234475219e-14 relative error 5.066467726961546e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) -3.0650218413758017 y[1] (numeric) -3.065021841375786 absolute error 1.554312234475219e-14 relative error 5.071129391291816e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) -3.0621907232173085 y[1] (numeric) -3.062190723217293 absolute error 1.554312234475219e-14 relative error 5.075817853834304e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) -3.059348682362998 y[1] (numeric) -3.059348682362982 absolute error 1.5987211554602254e-14 relative error 5.22569122204598e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) -3.05649578340619 y[1] (numeric) -3.056495783406174 absolute error 1.5987211554602254e-14 relative error 5.230568823748201e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) -3.0536320911279264 y[1] (numeric) -3.053632091127911 absolute error 1.554312234475219e-14 relative error 5.090044209946391e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) -3.050757670496389 y[1] (numeric) -3.0507576704963735 absolute error 1.554312234475219e-14 relative error 5.094840044185865e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) -3.0478725866663146 y[1] (numeric) -3.0478725866662986 absolute error 1.5987211554602254e-14 relative error 5.245367416125705e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) -3.044976904978408 y[1] (numeric) -3.0449769049783924 absolute error 1.554312234475219e-14 relative error 5.104512391979015e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) -3.0420706909587567 y[1] (numeric) -3.0420706909587403 absolute error 1.6431300764452317e-14 relative error 5.40135402286583e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) -3.039154010318237 y[1] (numeric) -3.0391540103182195 absolute error 1.7319479184152442e-14 relative error 5.698782992027074e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) -3.0362269289519235 y[1] (numeric) -3.0362269289519066 absolute error 1.687538997430238e-14 relative error 5.558013405844998e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) -3.0332895129385014 y[1] (numeric) -3.0332895129384836 absolute error 1.7763568394002505e-14 relative error 5.856206048988063e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) -3.0303418285396644 y[1] (numeric) -3.030341828539646 absolute error 1.8207657603852567e-14 relative error 6.008450080572897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) -3.0273839421995214 y[1] (numeric) -3.0273839421995032 absolute error 1.8207657603852567e-14 relative error 6.014320598735799e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) -3.0244159205440004 y[1] (numeric) -3.024415920543981 absolute error 1.9539925233402755e-14 relative error 6.460726879750096e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) -3.021437830380246 y[1] (numeric) -3.0214378303802265 absolute error 1.9539925233402755e-14 relative error 6.467094916509888e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) -3.018449738696019 y[1] (numeric) -3.0184497386959994 absolute error 1.9539925233402755e-14 relative error 6.47349696862737e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) -3.015451712659095 y[1] (numeric) -3.0154517126590754 absolute error 1.9539925233402755e-14 relative error 6.479933056587399e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) -3.0124438196166574 y[1] (numeric) -3.0124438196166374 absolute error 1.9984014443252818e-14 relative error 6.633821455231602e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) -3.009426127094692 y[1] (numeric) -3.009426127094672 absolute error 1.9984014443252818e-14 relative error 6.640473498695062e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) -3.006398702797382 y[1] (numeric) -3.0063987027973624 absolute error 1.9539925233402755e-14 relative error 6.499445737260771e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) -3.003361614606495 y[1] (numeric) -3.0033616146064746 absolute error 2.042810365310288e-14 relative error 6.801746267833087e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) -3.0003149305807733 y[1] (numeric) -3.0003149305807524 absolute error 2.0872192862952943e-14 relative error 6.956667331889955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) -2.997258718955322 y[1] (numeric) -2.9972587189553006 absolute error 2.1316282072803006e-14 relative error 7.111925953536863e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) -2.9941930481409944 y[1] (numeric) -2.994193048140973 absolute error 2.1316282072803006e-14 relative error 7.119207656312492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) -2.9911179867237765 y[1] (numeric) -2.9911179867237556 absolute error 2.0872192862952943e-14 relative error 6.978057353670163e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) -2.98803360346417 y[1] (numeric) -2.9880336034641486 absolute error 2.1316282072803006e-14 relative error 7.133882981801149e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) -2.9849399672965715 y[1] (numeric) -2.98493996729655 absolute error 2.1316282072803006e-14 relative error 7.141276644202977e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) -2.981837147328655 y[1] (numeric) -2.9818371473286343 absolute error 2.0872192862952943e-14 relative error 6.999776255940657e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) -2.978725212840749 y[1] (numeric) -2.978725212840728 absolute error 2.0872192862952943e-14 relative error 7.007089063797047e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) -2.9756042332852113 y[1] (numeric) -2.9756042332851895 absolute error 2.1760371282653068e-14 relative error 7.312925233551158e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) -2.972474278285805 y[1] (numeric) -2.9724742782857834 absolute error 2.1760371282653068e-14 relative error 7.320625595186663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) -2.9693354176370743 y[1] (numeric) -2.9693354176370517 absolute error 2.2648549702353193e-14 relative error 7.62748107466295e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) -2.9661877213037107 y[1] (numeric) -2.966187721303688 absolute error 2.2648549702353193e-14 relative error 7.635575300810231e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) -2.9630312594199295 y[1] (numeric) -2.9630312594199064 absolute error 2.3092638912203256e-14 relative error 7.793585990288906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) -2.9598661022888355 y[1] (numeric) -2.959866102288812 absolute error 2.353672812205332e-14 relative error 7.951957050980312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) -2.9566923203817894 y[1] (numeric) -2.9566923203817654 absolute error 2.398081733190338e-14 relative error 8.110690844154797e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) -2.9535099843377757 y[1] (numeric) -2.9535099843377512 absolute error 2.4424906541753444e-14 relative error 8.269789731972042e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) -2.9503191649627647 y[1] (numeric) -2.95031916496274 absolute error 2.4868995751603507e-14 relative error 8.42925607742421e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) -2.947119933229079 y[1] (numeric) -2.947119933229053 absolute error 2.6201263381153694e-14 relative error 8.890463901971469e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) -2.9439123602747497 y[1] (numeric) -2.9439123602747235 absolute error 2.6201263381153694e-14 relative error 8.900150607305572e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) -2.9406965174028805 y[1] (numeric) -2.940696517402854 absolute error 2.6645352591003757e-14 relative error 9.06089847535032e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) -2.937472476081004 y[1] (numeric) -2.9374724760809774 absolute error 2.6645352591003757e-14 relative error 9.070843321246146e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) -2.9342403079404376 y[1] (numeric) -2.9342403079404105 absolute error 2.708944180085382e-14 relative error 9.232182424713563e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) -2.931000084775641 y[1] (numeric) -2.9310000847756132 absolute error 2.7533531010703882e-14 relative error 9.393903177867527e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) -2.9277518785435683 y[1] (numeric) -2.9277518785435404 absolute error 2.7977620220553945e-14 relative error 9.556007947801785e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) -2.9244957613630227 y[1] (numeric) -2.9244957613629947 absolute error 2.7977620220553945e-14 relative error 9.566647553462135e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) -2.921231805514003 y[1] (numeric) -2.921231805513975 absolute error 2.7977620220553945e-14 relative error 9.577336576900361e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) -2.917960083437059 y[1] (numeric) -2.917960083437031 absolute error 2.7977620220553945e-14 relative error 9.588075032061153e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) -2.9146806677326342 y[1] (numeric) -2.914680667732606 absolute error 2.842170943040401e-14 relative error 9.751225835835252e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) -2.911393631160415 y[1] (numeric) -2.9113936311603865 absolute error 2.842170943040401e-14 relative error 9.762235214849928e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) -2.908099046638677 y[1] (numeric) -2.908099046638648 absolute error 2.886579864025407e-14 relative error 9.926002580145463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) -2.904796987243625 y[1] (numeric) -2.904796987243596 absolute error 2.886579864025407e-14 relative error 9.937286070943277e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) -2.901487526208739 y[1] (numeric) -2.9014875262087094 absolute error 2.9753977059954195e-14 relative error 1.0254732026655498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) -2.898170736924113 y[1] (numeric) -2.8981707369240826 absolute error 3.064215547965432e-14 relative error 1.0572929706748559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) -2.8948466929357966 y[1] (numeric) -2.8948466929357655 absolute error 3.108624468950438e-14 relative error 1.0738477020342102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) -2.891515467945129 y[1] (numeric) -2.891515467945098 absolute error 3.108624468950438e-14 relative error 1.0750848485550725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) -2.88817713580808 y[1] (numeric) -2.8881771358080486 absolute error 3.1530333899354446e-14 relative error 1.0917036046174712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) -2.8848317705345843 y[1] (numeric) -2.8848317705345523 absolute error 3.197442310920451e-14 relative error 1.1083635252422144e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) -2.881479446287872 y[1] (numeric) -2.88147944628784 absolute error 3.197442310920451e-14 relative error 1.1096529996212968e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) -2.878120237383808 y[1] (numeric) -2.878120237383775 absolute error 3.3306690738754696e-14 relative error 1.157237640948255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) -2.8747542182902146 y[1] (numeric) -2.8747542182901813 absolute error 3.3306690738754696e-14 relative error 1.1585926381756609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) -2.871381463626208 y[1] (numeric) -2.871381463626175 absolute error 3.2862601528904634e-14 relative error 1.1444874860828535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) -2.8680020481615243 y[1] (numeric) -2.8680020481614923 absolute error 3.197442310920451e-14 relative error 1.114867513072422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) -2.8646160468158466 y[1] (numeric) -2.864616046815814 absolute error 3.241851231905457e-14 relative error 1.1316878698312553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) -2.8612235346581314 y[1] (numeric) -2.861223534658098 absolute error 3.3306690738754696e-14 relative error 1.164071605566962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) -2.85782458690593 y[1] (numeric) -2.8578245869058967 absolute error 3.3306690738754696e-14 relative error 1.1654560917195664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) -2.854419278924717 y[1] (numeric) -2.8544192789246834 absolute error 3.375077994860476e-14 relative error 1.1824044280319936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) -2.8510076862272076 y[1] (numeric) -2.851007686227173 absolute error 3.4638958368304884e-14 relative error 1.2149724651967976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) -2.8475898844726784 y[1] (numeric) -2.8475898844726437 absolute error 3.4638958368304884e-14 relative error 1.2164307282163065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) -2.844165949466289 y[1] (numeric) -2.844165949466254 absolute error 3.5083047578154947e-14 relative error 1.2335091623165773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) -2.8407359571583974 y[1] (numeric) -2.840735957158363 absolute error 3.4638958368304884e-14 relative error 1.2193656464627711e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) -2.8372999836438773 y[1] (numeric) -2.837299983643842 absolute error 3.5083047578154947e-14 relative error 1.2364941240051262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) -2.833858105161433 y[1] (numeric) -2.8338581051613976 absolute error 3.552713678800501e-14 relative error 1.2536667493442186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) -2.8304103980929147 y[1] (numeric) -2.830410398092878 absolute error 3.68594044175552e-14 relative error 1.3022636025641537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) -2.826956938962627 y[1] (numeric) -2.8269569389625904 absolute error 3.6415315207705135e-14 relative error 1.2881453801368482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) -2.823497804436644 y[1] (numeric) -2.8234978044366077 absolute error 3.6415315207705135e-14 relative error 1.2897235177758839e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) -2.820033071322121 y[1] (numeric) -2.8200330713220843 absolute error 3.68594044175552e-14 relative error 1.3070557502460188e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) -2.8165628165665977 y[1] (numeric) -2.81656281656656 absolute error 3.774758283725532e-14 relative error 1.3402002829558686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) -2.813087117257308 y[1] (numeric) -2.81308711725727 absolute error 3.8191672047105385e-14 relative error 1.357642705510711e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) -2.809606050620489 y[1] (numeric) -2.8096060506204505 absolute error 3.863576125695545e-14 relative error 1.3751309102008415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) -2.8061196940206816 y[1] (numeric) -2.8061196940206434 absolute error 3.8191672047105385e-14 relative error 1.3610136491499178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) -2.802628124960038 y[1] (numeric) -2.8026281249599987 absolute error 3.952393967665557e-14 relative error 1.4102455950062634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) -2.7991314210776204 y[1] (numeric) -2.79913142107758 absolute error 4.04121180963557e-14 relative error 1.4437377892316927e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) -2.795629660148706 y[1] (numeric) -2.795629660148665 absolute error 4.085620730620576e-14 relative error 1.4614313150488083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) -2.7921229200840845 y[1] (numeric) -2.7921229200840427 absolute error 4.1744385725905886e-14 relative error 1.4950769332407743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) -2.7886112789293582 y[1] (numeric) -2.788611278929316 absolute error 4.218847493575595e-14 relative error 1.5128847557395494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) -2.7850948148642383 y[1] (numeric) -2.785094814864196 absolute error 4.218847493575595e-14 relative error 1.514794925852909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) -2.7815736062018432 y[1] (numeric) -2.7815736062018006 absolute error 4.263256414560601e-14 relative error 1.5326779075898523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) -2.7780477313879923 y[1] (numeric) -2.7780477313879492 absolute error 4.3076653355456074e-14 relative error 1.5506088275140522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) -2.7745172690004996 y[1] (numeric) -2.7745172690004556 absolute error 4.39648317751562e-14 relative error 1.5845939135565092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) -2.770982297748467 y[1] (numeric) -2.7709822977484238 absolute error 4.3076653355456074e-14 relative error 1.5545625603764255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) -2.767442896471578 y[1] (numeric) -2.7674428964715343 absolute error 4.3520742565306136e-14 relative error 1.5725976720529274e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) -2.7638991441393834 y[1] (numeric) -2.7638991441393395 absolute error 4.39648317751562e-14 relative error 1.590681478677684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) -2.7603511198505952 y[1] (numeric) -2.7603511198505513 absolute error 4.39648317751562e-14 relative error 1.592726065136808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) -2.7567989028323736 y[1] (numeric) -2.756798902832329 absolute error 4.440892098500626e-14 relative error 1.6108872119536872e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) -2.7532425724396115 y[1] (numeric) -2.7532425724395666 absolute error 4.4853010194856324e-14 relative error 1.6290976553915724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) -2.7496822081542227 y[1] (numeric) -2.749682208154177 absolute error 4.574118861455645e-14 relative error 1.663508185742712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) -2.746117889584426 y[1] (numeric) -2.7461178895843794 absolute error 4.6629367034256575e-14 relative error 1.69801038808691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) -2.742549696464029 y[1] (numeric) -2.7425496964639824 absolute error 4.6629367034256575e-14 relative error 1.7002195837827787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) -2.73897770865171 y[1] (numeric) -2.7389777086516633 absolute error 4.6629367034256575e-14 relative error 1.7024368941363295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) -2.7354020061302995 y[1] (numeric) -2.7354020061302515 absolute error 4.796163466380676e-14 relative error 1.7533669477583229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) -2.7318226690060596 y[1] (numeric) -2.7318226690060112 absolute error 4.8405723873656825e-14 relative error 1.7719204259795039e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) -2.728239777507964 y[1] (numeric) -2.7282397775079157 absolute error 4.8405723873656825e-14 relative error 1.7742474203595004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) -2.724653411986977 y[1] (numeric) -2.7246534119869286 absolute error 4.8405723873656825e-14 relative error 1.7765827998782618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) -2.7210636529153267 y[1] (numeric) -2.721063652915278 absolute error 4.884981308350689e-14 relative error 1.7952469811270154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) -2.7174705808857853 y[1] (numeric) -2.717470580885735 absolute error 5.0182080713057076e-14 relative error 1.8466466966019462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) -2.71387427661094 y[1] (numeric) -2.7138742766108894 absolute error 5.062616992290714e-14 relative error 1.8654574517036437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) -2.7102748209224687 y[1] (numeric) -2.7102748209224177 absolute error 5.10702591327572e-14 relative error 1.884320318312773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) -2.706672294770412 y[1] (numeric) -2.7066722947703608 absolute error 5.10702591327572e-14 relative error 1.886828310594916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) -2.703066779222444 y[1] (numeric) -2.7030667792223926 absolute error 5.1514348342607263e-14 relative error 1.905774165055061e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) -2.699458355463145 y[1] (numeric) -2.699458355463093 absolute error 5.1958437552457326e-14 relative error 1.9247727029129456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) -2.695847104793266 y[1] (numeric) -2.6958471047932138 absolute error 5.240252676230739e-14 relative error 1.943824138584667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) -2.6922331086290034 y[1] (numeric) -2.692233108628951 absolute error 5.240252676230739e-14 relative error 1.946433486548753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) -2.6886164485012616 y[1] (numeric) -2.688616448501208 absolute error 5.3734794391857577e-14 relative error 1.998603944486445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) -2.68499720605492 y[1] (numeric) -2.6849972060548657 absolute error 5.417888360170764e-14 relative error 2.0178376156045595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) -2.6813754630480986 y[1] (numeric) -2.6813754630480444 absolute error 5.417888360170764e-14 relative error 2.0205631157718913e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) -2.6777513013514245 y[1] (numeric) -2.6777513013513703 absolute error 5.417888360170764e-14 relative error 2.0232978161326743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) -2.6741248029472904 y[1] (numeric) -2.6741248029472358 absolute error 5.46229728115577e-14 relative error 2.042648598575314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) -2.670496049929121 y[1] (numeric) -2.6704960499290658 absolute error 5.5067062021407764e-14 relative error 2.062053678112324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) -2.666865124500631 y[1] (numeric) -2.6668651245005757 absolute error 5.551115123125783e-14 relative error 2.0815132614422056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) -2.6632321089750883 y[1] (numeric) -2.6632321089750333 absolute error 5.5067062021407764e-14 relative error 2.067677910454438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) -2.659597085774571 y[1] (numeric) -2.6595970857745153 absolute error 5.595524044110789e-14 relative error 2.1038991484987167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) -2.655960137429225 y[1] (numeric) -2.6559601374291693 absolute error 5.595524044110789e-14 relative error 2.1067801301893205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) -2.6523213465765245 y[1] (numeric) -2.652321346576468 absolute error 5.639932965095795e-14 relative error 2.126413894898339e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) -2.6486807959605247 y[1] (numeric) -2.6486807959604675 absolute error 5.728750807065808e-14 relative error 2.162869461583542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) -2.6450385684311186 y[1] (numeric) -2.645038568431061 absolute error 5.773159728050814e-14 relative error 2.1826372579039984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) -2.641394746943292 y[1] (numeric) -2.641394746943234 absolute error 5.81756864903582e-14 relative error 2.2024608990262057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) -2.6377494145563762 y[1] (numeric) -2.637749414556317 absolute error 5.906386491005833e-14 relative error 2.239176495845867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) -2.6341026544333004 y[1] (numeric) -2.6341026544332413 absolute error 5.906386491005833e-14 relative error 2.2422765039415407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) -2.6304545498398433 y[1] (numeric) -2.6304545498397833 absolute error 5.995204332975845e-14 relative error 2.279151461993847e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) -2.6268051841438824 y[1] (numeric) -2.6268051841438225 absolute error 5.995204332975845e-14 relative error 2.2823178396192245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) -2.623154640814649 y[1] (numeric) -2.6231546408145885 absolute error 6.039613253960852e-14 relative error 2.3024236390749667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) -2.6195030034219675 y[1] (numeric) -2.619503003421908 absolute error 5.950795411990839e-14 relative error 2.271726890260123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) -2.615850355635514 y[1] (numeric) -2.615850355635454 absolute error 5.995204332975845e-14 relative error 2.2918758789316623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) -2.612196781224054 y[1] (numeric) -2.6121967812239935 absolute error 6.039613253960852e-14 relative error 2.312082036610863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) -2.6085423640546948 y[1] (numeric) -2.6085423640546344 absolute error 6.039613253960852e-14 relative error 2.3153211299865304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) -2.604887188092129 y[1] (numeric) -2.6048871880920683 absolute error 6.084022174945858e-14 relative error 2.3356182957780664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) -2.601231337397876 y[1] (numeric) -2.601231337397815 absolute error 6.128431095930864e-14 relative error 2.3559731146639952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) -2.5975748961295295 y[1] (numeric) -2.597574896129468 absolute error 6.17284001691587e-14 relative error 2.3763857689391755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) -2.593917948539997 y[1] (numeric) -2.593917948539935 absolute error 6.217248937900877e-14 relative error 2.3968564392718337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) -2.590260578976745 y[1] (numeric) -2.5902605789766824 absolute error 6.261657858885883e-14 relative error 2.4173853046705766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) -2.586602871881035 y[1] (numeric) -2.5866028718809715 absolute error 6.350475700855895e-14 relative error 2.4551413631724954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) -2.582944911787168 y[1] (numeric) -2.582944911787103 absolute error 6.483702463810914e-14 relative error 2.5101977336887026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) -2.579286783321721 y[1] (numeric) -2.579286783321655 absolute error 6.616929226765933e-14 relative error 2.565410434214824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) -2.575628571202787 y[1] (numeric) -2.5756285712027203 absolute error 6.661338147750939e-14 relative error 2.5862961073770727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) -2.571970360239211 y[1] (numeric) -2.5719703602391437 absolute error 6.750155989720952e-14 relative error 2.6245076903192383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) -2.568312235329828 y[1] (numeric) -2.5683122353297603 absolute error 6.794564910705958e-14 relative error 2.6455369472759552e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) -2.5646542814626994 y[1] (numeric) -2.5646542814626314 absolute error 6.794564910705958e-14 relative error 2.6493102636940266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) -2.5609965837143456 y[1] (numeric) -2.5609965837142767 absolute error 6.88338275267597e-14 relative error 2.6877750624300504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) -2.557339227248982 y[1] (numeric) -2.5573392272489133 absolute error 6.88338275267597e-14 relative error 2.691618960571243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) -2.5536822973177538 y[1] (numeric) -2.553682297317684 absolute error 6.972200594645983e-14 relative error 2.730253721055746e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) -2.5500258792579653 y[1] (numeric) -2.550025879257896 absolute error 6.927791673660977e-14 relative error 2.716753476900753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) -2.5463700584923155 y[1] (numeric) -2.5463700584922457 absolute error 6.972200594645983e-14 relative error 2.7380940061689874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) -2.5427149205281276 y[1] (numeric) -2.5427149205280575 absolute error 7.016609515630989e-14 relative error 2.759495159675086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) -2.5390605509565787 y[1] (numeric) -2.539060550956508 absolute error 7.061018436615996e-14 relative error 2.7809570882253245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) -2.53540703545193 y[1] (numeric) -2.5354070354518594 absolute error 7.061018436615996e-14 relative error 2.784964440771691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) -2.5317544597707577 y[1] (numeric) -2.5317544597706867 absolute error 7.105427357601002e-14 relative error 2.8065230931772017e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) -2.5281029097511785 y[1] (numeric) -2.5281029097511065 absolute error 7.194245199571014e-14 relative error 2.8457089985625182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) -2.5244524713120775 y[1] (numeric) -2.5244524713120056 absolute error 7.194245199571014e-14 relative error 2.8498239841417274e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) -2.5208032304523367 y[1] (numeric) -2.5208032304522647 absolute error 7.194245199571014e-14 relative error 2.8539495319037925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) -2.517155273250059 y[1] (numeric) -2.517155273249986 absolute error 7.283063041541027e-14 relative error 2.893370591372936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) -2.5135086858617948 y[1] (numeric) -2.513508685861721 absolute error 7.37188088351104e-14 relative error 2.9329044792950367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) -2.5098635545217656 y[1] (numeric) -2.5098635545216914 absolute error 7.416289804496046e-14 relative error 2.954857761544396e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) -2.5062199655410886 y[1] (numeric) -2.506219965541015 absolute error 7.37188088351104e-14 relative error 2.9414341058924024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) -2.5025780053070013 y[1] (numeric) -2.5025780053069258 absolute error 7.549516567451064e-14 relative error 3.016695803863638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) -2.498937760282079 y[1] (numeric) -2.498937760282003 absolute error 7.593925488436071e-14 relative error 3.038861395082874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) -2.4952993170034627 y[1] (numeric) -2.4952993170033864 absolute error 7.638334409421077e-14 relative error 3.061089448216475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) -2.4916627620820773 y[1] (numeric) -2.491662762082001 absolute error 7.638334409421077e-14 relative error 3.065557075243341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) -2.488028182201851 y[1] (numeric) -2.488028182201775 absolute error 7.593925488436071e-14 relative error 3.0521862825989424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) -2.4843956641189378 y[1] (numeric) -2.4843956641188636 absolute error 7.416289804496046e-14 relative error 2.985148425271523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) -2.4807652946609355 y[1] (numeric) -2.4807652946608627 absolute error 7.283063041541027e-14 relative error 2.9358130159332373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) -2.4771371607261057 y[1] (numeric) -2.477137160726034 absolute error 7.149836278586008e-14 relative error 2.8863303945956014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) -2.473511349282587 y[1] (numeric) -2.4735113492825165 absolute error 7.061018436615996e-14 relative error 2.8546537450349525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) -2.4698879473676176 y[1] (numeric) -2.469887947367549 absolute error 6.88338275267597e-14 relative error 2.7869210666063667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) -2.46626704208675 y[1] (numeric) -2.4662670420866815 absolute error 6.838973831690964e-14 relative error 2.773006213432749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) -2.462648720613065 y[1] (numeric) -2.4626487206129974 absolute error 6.750155989720952e-14 relative error 2.7410145560835536e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) -2.459033070186391 y[1] (numeric) -2.459033070186326 absolute error 6.52811138479592e-14 relative error 2.6547472923172598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) -2.4554201781125173 y[1] (numeric) -2.455420178112453 absolute error 6.439293542825908e-14 relative error 2.622481317138884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) -2.4518101317624064 y[1] (numeric) -2.4518101317623424 absolute error 6.394884621840902e-14 relative error 2.6082299518210002e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) -2.4482030185714088 y[1] (numeric) -2.4482030185713466 absolute error 6.217248937900877e-14 relative error 2.539515265171434e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) -2.4445989260384793 y[1] (numeric) -2.444598926038418 absolute error 6.128431095930864e-14 relative error 2.506927018029132e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) -2.440997941725384 y[1] (numeric) -2.4409979417253247 absolute error 5.950795411990839e-14 relative error 2.4378535148557334e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) -2.4374001532559166 y[1] (numeric) -2.437400153255858 absolute error 5.861977570020827e-14 relative error 2.4050123908420644e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) -2.4338056483151074 y[1] (numeric) -2.43380564831505 absolute error 5.728750807065808e-14 relative error 2.3538242714785994e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) -2.4302145146484344 y[1] (numeric) -2.430214514648378 absolute error 5.639932965095795e-14 relative error 2.320755197164845e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) -2.4266268400610356 y[1] (numeric) -2.4266268400609805 absolute error 5.5067062021407764e-14 relative error 2.269284304958182e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) -2.423042712416916 y[1] (numeric) -2.423042712416862 absolute error 5.3734794391857577e-14 relative error 2.21765774563085e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) -2.419462219638158 y[1] (numeric) -2.4194622196381057 absolute error 5.240252676230739e-14 relative error 2.165874975726814e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) -2.4158854497041315 y[1] (numeric) -2.4158854497040805 absolute error 5.10702591327572e-14 relative error 2.113935457453567e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) -2.4123124906506996 y[1] (numeric) -2.4123124906506503 absolute error 4.929390229335695e-14 relative error 2.0434293850570064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) -2.408743430569428 y[1] (numeric) -2.4087434305693805 absolute error 4.75175454539567e-14 relative error 1.972710951731523e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) -2.4051783576067907 y[1] (numeric) -2.4051783576067436 absolute error 4.707345624410664e-14 relative error 1.95717112185168e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) -2.4016173599633777 y[1] (numeric) -2.4016173599633324 absolute error 4.529709940470639e-14 relative error 1.886108093647238e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) -2.3980605258931034 y[1] (numeric) -2.3980605258930585 absolute error 4.4853010194856324e-14 relative error 1.870386911028938e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) -2.3945079437024064 y[1] (numeric) -2.3945079437023624 absolute error 4.39648317751562e-14 relative error 1.8360695729068013e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) -2.3909597017494613 y[1] (numeric) -2.3909597017494195 absolute error 4.1744385725905886e-14 relative error 1.7459259432671152e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) -2.3874158884433787 y[1] (numeric) -2.387415888443338 absolute error 4.085620730620576e-14 relative error 1.7113150458609227e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) -2.3838765922434124 y[1] (numeric) -2.3838765922433724 absolute error 3.9968028886505635e-14 relative error 1.676598067892962e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) -2.380341901658162 y[1] (numeric) -2.380341901658123 absolute error 3.907985046680551e-14 relative error 1.6417746727721016e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) -2.3768119052447756 y[1] (numeric) -2.3768119052447374 absolute error 3.8191672047105385e-14 relative error 1.6068445282872404e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) -2.373286691608155 y[1] (numeric) -2.3732866916081186 absolute error 3.6415315207705135e-14 relative error 1.5343833231976652e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) -2.3697663494001566 y[1] (numeric) -2.3697663494001215 absolute error 3.5083047578154947e-14 relative error 1.480443318263646e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) -2.3662509673187935 y[1] (numeric) -2.36625096731876 absolute error 3.3306690738754696e-14 relative error 1.4075721974873449e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) -2.3627406341074373 y[1] (numeric) -2.3627406341074058 absolute error 3.1530333899354446e-14 relative error 1.3344813833645998e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) -2.3592354385540215 y[1] (numeric) -2.359235438553991 absolute error 3.064215547965432e-14 relative error 1.2988171921677702e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) -2.355735469490239 y[1] (numeric) -2.355735469490209 absolute error 2.9753977059954195e-14 relative error 1.2630440660806752e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) -2.352240815790744 y[1] (numeric) -2.3522408157907155 absolute error 2.842170943040401e-14 relative error 1.2082822999927237e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) -2.348751566372354 y[1] (numeric) -2.348751566372327 absolute error 2.708944180085382e-14 relative error 1.1533549221935573e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) -2.3452678101932465 y[1] (numeric) -2.345267810193221 absolute error 2.531308496145357e-14 relative error 1.0793259879078718e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) -2.3417896362521606 y[1] (numeric) -2.341789636252137 absolute error 2.353672812205332e-14 relative error 1.0050743994119768e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) -2.3383171335875956 y[1] (numeric) -2.3383171335875734 absolute error 2.220446049250313e-14 relative error 9.495914892620072e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) -2.3348503912770076 y[1] (numeric) -2.334850391276987 absolute error 2.042810365310288e-14 relative error 8.749213109937236e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) -2.331389498436011 y[1] (numeric) -2.331389498435992 absolute error 1.865174681370263e-14 relative error 8.000270579504183e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) -2.327934544217574 y[1] (numeric) -2.3279345442175567 absolute error 1.7319479184152442e-14 relative error 7.439848009117272e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) -2.324485617811219 y[1] (numeric) -2.3244856178112028 absolute error 1.6431300764452317e-14 relative error 7.068790031888581e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) -2.3210428084422157 y[1] (numeric) -2.3210428084422 absolute error 1.554312234475219e-14 relative error 6.696611664471656e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) -2.3176062053707813 y[1] (numeric) -2.317606205370767 absolute error 1.4210854715202004e-14 relative error 6.131695144011097e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) -2.3141758978912774 y[1] (numeric) -2.3141758978912645 absolute error 1.2878587085651816e-14 relative error 5.565085652040122e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) -2.3107519753314034 y[1] (numeric) -2.3107519753313923 absolute error 1.1102230246251565e-14 relative error 4.804596237404192e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) -2.307334527051396 y[1] (numeric) -2.307334527051386 absolute error 9.769962616701378e-15 relative error 4.234306946893684e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) -2.3039236424432223 y[1] (numeric) -2.3039236424432135 absolute error 8.881784197001252e-15 relative error 3.8550688197211525e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) -2.300519410929777 y[1] (numeric) -2.300519410929769 absolute error 7.993605777301127e-15 relative error 3.474696079208667e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) -2.297121921964076 y[1] (numeric) -2.297121921964069 absolute error 7.105427357601002e-15 relative error 3.093186865556421e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) -2.2937312650284536 y[1] (numeric) -2.293731265028448 absolute error 5.773159728050814e-15 relative error 2.516929431128977e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) -2.2903475296337543 y[1] (numeric) -2.2903475296337503 absolute error 3.9968028886505635e-15 relative error 1.7450639420165575e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) -2.2869708053185307 y[1] (numeric) -2.286970805318528 absolute error 2.6645352591003757e-15 relative error 1.1650936920155644e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) -2.2836011816482333 y[1] (numeric) -2.2836011816482316 absolute error 1.7763568394002505e-15 relative error 7.778752497045611e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) -2.2802387482144084 y[1] (numeric) -2.2802387482144084 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] 4.609999999999874 y[1] (closed_form) -2.27688359463389 y[1] (numeric) -2.276883594633891 absolute error 8.881784197001252e-16 relative error 3.900851241553872e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) -2.2735358105479926 y[1] (numeric) -2.273535810547995 absolute error 2.220446049250313e-15 relative error 9.766488123690987e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) -2.270195485621706 y[1] (numeric) -2.2701954856217093 absolute error 3.1086244689504383e-15 relative error 1.369320170284421e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) -2.2668627095428873 y[1] (numeric) -2.266862709542891 absolute error 3.552713678800501e-15 relative error 1.5672381321747118e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) -2.2635375720214532 y[1] (numeric) -2.263537572021458 absolute error 4.884981308350689e-15 relative error 2.158118057650863e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) -2.260220162788575 y[1] (numeric) -2.260220162788581 absolute error 6.217248937900877e-15 relative error 2.750727137231741e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) -2.2569105715958684 y[1] (numeric) -2.2569105715958755 absolute error 7.105427357601002e-15 relative error 3.1482981412846733e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) -2.2536088882145866 y[1] (numeric) -2.2536088882145946 absolute error 7.993605777301127e-15 relative error 3.5470244278429485e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) -2.2503152024348125 y[1] (numeric) -2.2503152024348214 absolute error 8.881784197001252e-15 relative error 3.9469067210634646e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) -2.2470296040646507 y[1] (numeric) -2.247029604064662 absolute error 1.1102230246251565e-14 relative error 4.940847341827961e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) -2.24375218292942 y[1] (numeric) -2.2437521829294313 absolute error 1.1546319456101628e-14 relative error 5.145986951654737e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) -2.240483028870842 y[1] (numeric) -2.2404830288708557 absolute error 1.3766765505351941e-14 relative error 6.144552459426623e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) -2.237222231746237 y[1] (numeric) -2.2372222317462516 absolute error 1.4654943925052066e-14 relative error 6.550508803773744e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) -2.233969881427711 y[1] (numeric) -2.2339698814277265 absolute error 1.554312234475219e-14 relative error 6.957623947382279e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) -2.230726067801349 y[1] (numeric) -2.230726067801366 absolute error 1.687538997430238e-14 relative error 7.564976362577374e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) -2.2274908807664073 y[1] (numeric) -2.2274908807664255 absolute error 1.8207657603852567e-14 relative error 8.174066058392977e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) -2.2242644102345017 y[1] (numeric) -2.2242644102345204 absolute error 1.865174681370263e-14 relative error 8.385579847378036e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) -2.2210467461287986 y[1] (numeric) -2.2210467461288186 absolute error 1.9984014443252818e-14 relative error 8.997565890085027e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) -2.217837978383209 y[1] (numeric) -2.2178379783832294 absolute error 2.042810365310288e-14 relative error 9.210818757822358e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) -2.214638196941573 y[1] (numeric) -2.2146381969415954 absolute error 2.220446049250313e-14 relative error 1.0026224835807315e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) -2.211447491756859 y[1] (numeric) -2.2114474917568816 absolute error 2.2648549702353193e-14 relative error 1.0241504619384073e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) -2.2082659527903434 y[1] (numeric) -2.2082659527903674 absolute error 2.398081733190338e-14 relative error 1.0859569383661173e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) -2.20509367001081 y[1] (numeric) -2.205093670010836 absolute error 2.5757174171303632e-14 relative error 1.1680761920275868e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) -2.2019307333937377 y[1] (numeric) -2.2019307333937643 absolute error 2.6645352591003757e-14 relative error 1.2100904077911871e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) -2.1987772329204875 y[1] (numeric) -2.198777232920515 absolute error 2.7533531010703882e-14 relative error 1.2522201248251488e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) -2.1956332585774967 y[1] (numeric) -2.195633258577525 absolute error 2.842170943040401e-14 relative error 1.2944652445653797e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) -2.1924989003554662 y[1] (numeric) -2.192498900355495 absolute error 2.886579864025407e-14 relative error 1.3165707237332756e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) -2.1893742482485536 y[1] (numeric) -2.189374248248583 absolute error 2.930988785010413e-14 relative error 1.3387335615896337e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) -2.186259392253559 y[1] (numeric) -2.186259392253589 absolute error 2.9753977059954195e-14 relative error 1.3609536528638672e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) -2.1831544223691197 y[1] (numeric) -2.1831544223691512 absolute error 3.1530333899354446e-14 relative error 1.444255778532528e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) -2.1800594285948973 y[1] (numeric) -2.1800594285949297 absolute error 3.241851231905457e-14 relative error 1.4870471829269861e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) -2.1769745009307675 y[1] (numeric) -2.176974500930801 absolute error 3.3306690738754696e-14 relative error 1.5299531861541965e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) -2.1738997293760125 y[1] (numeric) -2.173899729376047 absolute error 3.4638958368304884e-14 relative error 1.5934018437109568e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) -2.1708352039285086 y[1] (numeric) -2.1708352039285437 absolute error 3.5083047578154947e-14 relative error 1.6161082847129986e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) -2.1677810145839174 y[1] (numeric) -2.1677810145839533 absolute error 3.597122599785507e-14 relative error 1.6593569994319452e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) -2.1647372513348753 y[1] (numeric) -2.1647372513349126 absolute error 3.730349362740526e-14 relative error 1.7232342449136601e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) -2.161704004170184 y[1] (numeric) -2.1617040041702222 absolute error 3.8191672047105385e-14 relative error 1.7667392008077475e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) -2.1586813630740003 y[1] (numeric) -2.1586813630740393 absolute error 3.907985046680551e-14 relative error 1.8103575235927878e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) -2.1556694180250275 y[1] (numeric) -2.155669418025067 absolute error 3.952393967665557e-14 relative error 1.833487980400374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) - ( 0.1 * x + 0.2 ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%