##############ECHO OF PROBLEM################# ##############temp/arcsin_c_arccos_c_arctan_cpostode.ode################# diff ( y , x , 1 ) = arcsin ( 0.1 ) + arccos ( 0.1 ) + arctan ( 0.1 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return((arcsin(c(0.1)) + arccos(c(0.1)) + arctan(c(0.1))) * c(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -8.352324896430293 y[1] (numeric) = -8.352324896430293 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -8.335620246637427 y[1] (numeric) = -8.335620246637433 absolute error = 5.329070518200751e-15 relative error = 6.393130157711405e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -8.31891559684456 y[1] (numeric) = -8.318915596844572 absolute error = 1.243449787580175e-14 relative error = 1.494725812642969e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -8.302210947051694 y[1] (numeric) = -8.302210947051712 absolute error = 1.77635683940025e-14 relative error = 2.139619013211265e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -8.285506297258829 y[1] (numeric) = -8.285506297258852 absolute error = 2.309263891220326e-14 relative error = 2.787112589588304e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -8.268801647465962 y[1] (numeric) = -8.268801647465992 absolute error = 3.019806626980426e-14 relative error = 3.652048695479192e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -8.252096997673096 y[1] (numeric) = -8.252096997673132 absolute error = 3.552713678800501e-14 relative error = 4.305225301886642e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -8.23539234788023 y[1] (numeric) = -8.235392347880271 absolute error = 4.085620730620576e-14 relative error = 4.961051711971203e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -8.218687698087363 y[1] (numeric) = -8.218687698087411 absolute error = 4.796163466380676e-14 relative error = 5.835680393959768e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -8.201983048294498 y[1] (numeric) = -8.201983048294551 absolute error = 5.329070518200751e-14 relative error = 6.497295211197574e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -8.185278398501632 y[1] (numeric) = -8.185278398501691 absolute error = 5.861977570020827e-14 relative error = 7.161610497077166e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -8.168573748708765 y[1] (numeric) = -8.16857374870883 absolute error = 6.572520305780927e-14 relative error = 8.046105119415575e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -8.151869098915899 y[1] (numeric) = -8.15186909891597 absolute error = 7.105427357601002e-14 relative error = 8.716316799721353e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -8.135164449123033 y[1] (numeric) = -8.13516444912311 absolute error = 7.638334409421077e-14 relative error = 9.389280889391836e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -8.118459799330166 y[1] (numeric) = -8.11845979933025 absolute error = 8.348877145181177e-14 relative error = 1.028381903901282e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -8.101755149537301 y[1] (numeric) = -8.101755149537389 absolute error = 8.881784197001252e-14 relative error = 1.096279020171142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -8.085050499744435 y[1] (numeric) = -8.085050499744529 absolute error = 9.414691248821327e-14 relative error = 1.164456703037158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -8.068345849951568 y[1] (numeric) = -8.068345849951669 absolute error = 1.012523398458143e-13 relative error = 1.254933064705228e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -8.051641200158702 y[1] (numeric) = -8.051641200158809 absolute error = 1.06581410364015e-13 relative error = 1.323722800289639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -8.034936550365837 y[1] (numeric) = -8.034936550365948 absolute error = 1.119104808822158e-13 relative error = 1.392798563880637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -8.018231900572969 y[1] (numeric) = -8.018231900573088 absolute error = 1.190159082398168e-13 relative error = 1.484316115019224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -8.001527250780104 y[1] (numeric) = -8.001527250780228 absolute error = 1.243449787580175e-13 relative error = 1.554015563040101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -7.984822600987237 y[1] (numeric) = -7.984822600987368 absolute error = 1.305622276959184e-13 relative error = 1.635129973705061e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -7.968117951194372 y[1] (numeric) = -7.968117951194507 absolute error = 1.358912982141192e-13 relative error = 1.705437834209644e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -7.951413301401505 y[1] (numeric) = -7.951413301401647 absolute error = 1.4210854715202e-13 relative error = 1.7872111757412e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -7.934708651608639 y[1] (numeric) = -7.934708651608787 absolute error = 1.483257960899209e-13 relative error = 1.869328826079206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -7.918004001815773 y[1] (numeric) = -7.918004001815927 absolute error = 1.536548666081217e-13 relative error = 1.940575763448531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -7.901299352022907 y[1] (numeric) = -7.901299352023067 absolute error = 1.598721155460225e-13 relative error = 2.023364872324345e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -7.88459470223004 y[1] (numeric) = -7.884594702230206 absolute error = 1.660893644839234e-13 relative error = 2.106504782508954e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = -7.867890052437175 y[1] (numeric) = -7.867890052437346 absolute error = 1.714184350021242e-13 relative error = 2.178709080321035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = -7.851185402644308 y[1] (numeric) = -7.851185402644486 absolute error = 1.77635683940025e-13 relative error = 2.262533296948977e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = -7.834480752851442 y[1] (numeric) = -7.834480752851626 absolute error = 1.838529328779259e-13 relative error = 2.346714972922879e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = -7.817776103058576 y[1] (numeric) = -7.817776103058765 absolute error = 1.891820033961267e-13 relative error = 2.419895388435496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = -7.80107145326571 y[1] (numeric) = -7.801071453265905 absolute error = 1.953992523340276e-13 relative error = 2.50477454929898e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = -7.784366803472843 y[1] (numeric) = -7.784366803473045 absolute error = 2.016165012719284e-13 relative error = 2.590017998406513e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = -7.767662153679978 y[1] (numeric) = -7.767662153680185 absolute error = 2.069455717901292e-13 relative error = 2.664193777944982e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = -7.750957503887111 y[1] (numeric) = -7.750957503887324 absolute error = 2.131628207280301e-13 relative error = 2.750148231636269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = -7.734252854094245 y[1] (numeric) = -7.734252854094464 absolute error = 2.193800696659309e-13 relative error = 2.836473978864019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = -7.717548204301379 y[1] (numeric) = -7.717548204301604 absolute error = 2.247091401841317e-13 relative error = 2.911664873811737e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = -7.700843554508513 y[1] (numeric) = -7.700843554508744 absolute error = 2.309263891220326e-13 relative error = 2.998715497691615e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = -7.684138904715646 y[1] (numeric) = -7.684138904715883 absolute error = 2.371436380599334e-13 relative error = 3.086144602544883e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = -7.667434254922781 y[1] (numeric) = -7.667434254923023 absolute error = 2.424727085781342e-13 relative error = 3.162370885964332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = -7.650729605129914 y[1] (numeric) = -7.650729605130163 absolute error = 2.486899575160351e-13 relative error = 3.250539103476944e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = -7.634024955337048 y[1] (numeric) = -7.634024955337303 absolute error = 2.549072064539359e-13 relative error = 3.339093177521341e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = -7.617320305544182 y[1] (numeric) = -7.617320305544443 absolute error = 2.602362769721367e-13 relative error = 3.416375661434725e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = -7.600615655751316 y[1] (numeric) = -7.600615655751582 absolute error = 2.664535259100376e-13 relative error = 3.505683460107796e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = -7.583911005958449 y[1] (numeric) = -7.583911005958722 absolute error = 2.726707748479384e-13 relative error = 3.595384685206739e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = -7.567206356165584 y[1] (numeric) = -7.567206356165862 absolute error = 2.779998453661392e-13 relative error = 3.67374473856698e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = -7.550501706372717 y[1] (numeric) = -7.550501706373002 absolute error = 2.842170943040401e-13 relative error = 3.764214688729324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = -7.533797056579851 y[1] (numeric) = -7.533797056580141 absolute error = 2.90434343241941e-13 relative error = 3.855085836009905e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = -7.517092406786985 y[1] (numeric) = -7.517092406787281 absolute error = 2.957634137601417e-13 relative error = 3.934545403394332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = -7.500387756994119 y[1] (numeric) = -7.500387756994421 absolute error = 3.019806626980426e-13 relative error = 4.026200677644237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = -7.483683107201252 y[1] (numeric) = -7.483683107201561 absolute error = 3.081979116359435e-13 relative error = 4.118265127225614e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = -7.466978457408387 y[1] (numeric) = -7.4669784574087 absolute error = 3.135269821541442e-13 relative error = 4.198846748286482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = -7.45027380761552 y[1] (numeric) = -7.45027380761584 absolute error = 3.197442310920451e-13 relative error = 4.291711141746347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = -7.433569157822654 y[1] (numeric) = -7.43356915782298 absolute error = 3.25961480029946e-13 relative error = 4.384992903266705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = -7.416864508029788 y[1] (numeric) = -7.41686450803012 absolute error = 3.312905505481467e-13 relative error = 4.466719732974474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = -7.400159858236922 y[1] (numeric) = -7.400159858237259 absolute error = 3.375077994860476e-13 relative error = 4.560817684369029e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = -7.383455208444055 y[1] (numeric) = -7.383455208444399 absolute error = 3.437250484239485e-13 relative error = 4.655341418349079e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = -7.36675055865119 y[1] (numeric) = -7.366750558651539 absolute error = 3.490541189421492e-13 relative error = 4.738237248066385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = -7.350045908858323 y[1] (numeric) = -7.350045908858679 absolute error = 3.552713678800501e-13 relative error = 4.83359386166384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = -7.333341259065457 y[1] (numeric) = -7.333341259065818 absolute error = 3.61488616817951e-13 relative error = 4.929384901746932e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = -7.316636609272591 y[1] (numeric) = -7.316636609272958 absolute error = 3.677058657558518e-13 relative error = 5.025613343839536e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = -7.299931959479725 y[1] (numeric) = -7.299931959480098 absolute error = 3.730349362740526e-13 relative error = 5.110115249630892e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = -7.283227309686858 y[1] (numeric) = -7.283227309687238 absolute error = 3.792521852119535e-13 relative error = 5.207199625742003e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = -7.266522659893992 y[1] (numeric) = -7.266522659894378 absolute error = 3.854694341498544e-13 relative error = 5.304730366800752e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = -7.249818010101126 y[1] (numeric) = -7.249818010101517 absolute error = 3.907985046680551e-13 relative error = 5.390459513929287e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = -7.23311336030826 y[1] (numeric) = -7.233113360308657 absolute error = 3.97015753605956e-13 relative error = 5.488863976397516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = -7.216408710515394 y[1] (numeric) = -7.216408710515797 absolute error = 4.032330025438569e-13 relative error = 5.587724015080876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = -7.199704060722528 y[1] (numeric) = -7.199704060722937 absolute error = 4.085620730620576e-13 relative error = 5.674706482603068e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = -7.182999410929662 y[1] (numeric) = -7.182999410930076 absolute error = 4.147793219999585e-13 relative error = 5.774458527294736e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = -7.166294761136795 y[1] (numeric) = -7.166294761137216 absolute error = 4.209965709378594e-13 relative error = 5.874675616483801e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = -7.14959011134393 y[1] (numeric) = -7.149590111344356 absolute error = 4.263256414560601e-13 relative error = 5.962938221865735e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = -7.132885461551063 y[1] (numeric) = -7.132885461551496 absolute error = 4.32542890393961e-13 relative error = 6.064066116377866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = -7.116180811758197 y[1] (numeric) = -7.116180811758635 absolute error = 4.387601393318619e-13 relative error = 6.165668789737473e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = -7.099476161965331 y[1] (numeric) = -7.099476161965775 absolute error = 4.440892098500626e-13 relative error = 6.255239115094465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = -7.082771512172465 y[1] (numeric) = -7.082771512172915 absolute error = 4.503064587879635e-13 relative error = 6.357771926061231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = -7.066066862379598 y[1] (numeric) = -7.066066862380055 absolute error = 4.565237077258644e-13 relative error = 6.460789525732332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = -7.049362212586733 y[1] (numeric) = -7.049362212587194 absolute error = 4.618527782440651e-13 relative error = 6.551695945193746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = -7.032657562793866 y[1] (numeric) = -7.032657562794334 absolute error = 4.68070027181966e-13 relative error = 6.655663566761463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = -7.015952913001 y[1] (numeric) = -7.015952913001474 absolute error = 4.742872761198669e-13 relative error = 6.760126272241407e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = -6.999248263208134 y[1] (numeric) = -6.999248263208614 absolute error = 4.796163466380676e-13 relative error = 6.852397980497315e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = -6.982543613415268 y[1] (numeric) = -6.982543613415753 absolute error = 4.858335955759685e-13 relative error = 6.957831164026772e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = -6.965838963622401 y[1] (numeric) = -6.965838963622893 absolute error = 4.920508445138694e-13 relative error = 7.063770022297376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = -6.949134313829536 y[1] (numeric) = -6.949134313830033 absolute error = 4.973799150320701e-13 relative error = 7.157437064386996e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = -6.932429664036669 y[1] (numeric) = -6.932429664037173 absolute error = 5.03597163969971e-13 relative error = 7.264367449445315e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = -6.915725014243803 y[1] (numeric) = -6.915725014244313 absolute error = 5.098144129078719e-13 relative error = 7.371814406412128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = -6.899020364450937 y[1] (numeric) = -6.899020364451452 absolute error = 5.151434834260726e-13 relative error = 7.466907708817448e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = -6.882315714658071 y[1] (numeric) = -6.882315714658592 absolute error = 5.213607323639735e-13 relative error = 7.575367855525296e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = -6.865611064865204 y[1] (numeric) = -6.865611064865732 absolute error = 5.275779813018744e-13 relative error = 7.684355788835128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = -6.848906415072339 y[1] (numeric) = -6.848906415072872 absolute error = 5.329070518200751e-13 relative error = 7.780907191946884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = -6.832201765279472 y[1] (numeric) = -6.832201765280011 absolute error = 5.39124300757976e-13 relative error = 7.890930614750705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = -6.815497115486606 y[1] (numeric) = -6.815497115487151 absolute error = 5.453415496958769e-13 relative error = 8.001493368058467e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = -6.79879246569374 y[1] (numeric) = -6.798792465694291 absolute error = 5.506706202140776e-13 relative error = 8.099535660085602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = -6.782087815900874 y[1] (numeric) = -6.782087815901431 absolute error = 5.568878691519785e-13 relative error = 8.211156863028709e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = -6.765383166108007 y[1] (numeric) = -6.76538316610857 absolute error = 5.631051180898794e-13 relative error = 8.32332928178882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = -6.748678516315142 y[1] (numeric) = -6.74867851631571 absolute error = 5.684341886080801e-13 relative error = 8.422896234186777e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = -6.731973866522275 y[1] (numeric) = -6.73197386652285 absolute error = 5.74651437545981e-13 relative error = 8.536150747757505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = -6.715269216729409 y[1] (numeric) = -6.71526921672999 absolute error = 5.808686864838819e-13 relative error = 8.649968716619629e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = -6.698564566936543 y[1] (numeric) = -6.698564566937129 absolute error = 5.861977570020827e-13 relative error = 8.751095121117399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = -6.681859917143678 y[1] (numeric) = -6.681859917144269 absolute error = 5.915268275202834e-13 relative error = 8.852727157637657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = -6.665155267350818 y[1] (numeric) = -6.665155267351409 absolute error = 5.906386491005833e-13 relative error = 8.861588746384041e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = -6.64845061755796 y[1] (numeric) = -6.648450617558549 absolute error = 5.88862292261183e-13 relative error = 8.85713568671249e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = -6.631745967765101 y[1] (numeric) = -6.631745967765688 absolute error = 5.870859354217828e-13 relative error = 8.852660193490957e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = -6.615041317972242 y[1] (numeric) = -6.615041317972828 absolute error = 5.861977570020827e-13 relative error = 8.86158874638404e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = -6.598336668179384 y[1] (numeric) = -6.598336668179968 absolute error = 5.844214001626824e-13 relative error = 8.857101866006122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = -6.581632018386525 y[1] (numeric) = -6.581632018387108 absolute error = 5.826450433232822e-13 relative error = 8.852592209585678e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = -6.564927368593666 y[1] (numeric) = -6.564927368594248 absolute error = 5.81756864903582e-13 relative error = 8.861588746384038e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = -6.548222718800807 y[1] (numeric) = -6.548222718801387 absolute error = 5.799805080641818e-13 relative error = 8.857067527635882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = -6.531518069007949 y[1] (numeric) = -6.531518069008527 absolute error = 5.782041512247815e-13 relative error = 8.852523182449116e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = -6.51481341921509 y[1] (numeric) = -6.514813419215667 absolute error = 5.764277943853813e-13 relative error = 8.84795553292806e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = -6.498108769422231 y[1] (numeric) = -6.498108769422807 absolute error = 5.755396159656812e-13 relative error = 8.857032659624969e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = -6.481404119629373 y[1] (numeric) = -6.481404119629946 absolute error = 5.737632591262809e-13 relative error = 8.852453087882607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = -6.464699469836514 y[1] (numeric) = -6.464699469837086 absolute error = 5.719869022868806e-13 relative error = 8.847849849102818e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = -6.447994820043655 y[1] (numeric) = -6.447994820044226 absolute error = 5.710987238671805e-13 relative error = 8.856997249624249e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = -6.431290170250796 y[1] (numeric) = -6.431290170251366 absolute error = 5.693223670277803e-13 relative error = 8.852381900933243e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = -6.414585520457938 y[1] (numeric) = -6.414585520458505 absolute error = 5.6754601018838e-13 relative error = 8.847742513967807e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = -6.397880870665078 y[1] (numeric) = -6.397880870665645 absolute error = 5.666578317686799e-13 relative error = 8.856961284897669e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = -6.38117622087222 y[1] (numeric) = -6.381176220872785 absolute error = 5.648814749292796e-13 relative error = 8.852309595864256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = -6.364471571079362 y[1] (numeric) = -6.364471571079925 absolute error = 5.631051180898794e-13 relative error = 8.847633488515708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = -6.347766921286502 y[1] (numeric) = -6.347766921287064 absolute error = 5.622169396701793e-13 relative error = 8.856924752306985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = -6.331062271493644 y[1] (numeric) = -6.331062271494204 absolute error = 5.60440582830779e-13 relative error = 8.852236146123992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = -6.314357621700785 y[1] (numeric) = -6.314357621701344 absolute error = 5.586642259913788e-13 relative error = 8.847522732500878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = -6.297652971907926 y[1] (numeric) = -6.297652971908484 absolute error = 5.577760475716786e-13 relative error = 8.85688763829576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = -6.280948322115067 y[1] (numeric) = -6.280948322115623 absolute error = 5.559996907322784e-13 relative error = 8.852161524313405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = -6.264243672322209 y[1] (numeric) = -6.264243672322763 absolute error = 5.542233338928781e-13 relative error = 8.84741020438981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = -6.24753902252935 y[1] (numeric) = -6.247539022529903 absolute error = 5.53335155473178e-13 relative error = 8.85684992887259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = -6.230834372736491 y[1] (numeric) = -6.230834372737043 absolute error = 5.515587986337778e-13 relative error = 8.852085702151977e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = -6.214129722943633 y[1] (numeric) = -6.214129722944183 absolute error = 5.497824417943775e-13 relative error = 8.84729586130921e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = -6.197425073150773 y[1] (numeric) = -6.197425073151322 absolute error = 5.488942633746774e-13 relative error = 8.85681160959352e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = -6.180720423357915 y[1] (numeric) = -6.180720423358462 absolute error = 5.471179065352771e-13 relative error = 8.852008650441986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = -6.164015773565056 y[1] (numeric) = -6.164015773565602 absolute error = 5.453415496958769e-13 relative error = 8.847179658991527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = -6.147311123772197 y[1] (numeric) = -6.147311123772742 absolute error = 5.444533712761768e-13 relative error = 8.856772665543595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = -6.130606473979339 y[1] (numeric) = -6.130606473979881 absolute error = 5.426770144367765e-13 relative error = 8.851930339031013e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = -6.11390182418648 y[1] (numeric) = -6.113901824187021 absolute error = 5.409006575973763e-13 relative error = 8.847061551717816e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = -6.097197174393622 y[1] (numeric) = -6.097197174394161 absolute error = 5.39124300757976e-13 relative error = 8.842166086117971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = -6.080492524600762 y[1] (numeric) = -6.080492524601301 absolute error = 5.382361223382759e-13 relative error = 8.851850736772607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = -6.063787874807904 y[1] (numeric) = -6.06378787480844 absolute error = 5.364597654988756e-13 relative error = 8.846941492257763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = -6.047083225015045 y[1] (numeric) = -6.04708322501558 absolute error = 5.346834086594754e-13 relative error = 8.842005124845046e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = -6.030378575222186 y[1] (numeric) = -6.03037857522272 absolute error = 5.337952302397753e-13 relative error = 8.851769811484976e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = -6.013673925429328 y[1] (numeric) = -6.01367392542986 absolute error = 5.32018873400375e-13 relative error = 8.846819431806708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = -5.996969275636469 y[1] (numeric) = -5.996969275636999 absolute error = 5.302425165609748e-13 relative error = 8.84184147341157e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = -5.98026462584361 y[1] (numeric) = -5.980264625844139 absolute error = 5.293543381412746e-13 relative error = 8.851687529907607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = -5.963559976050751 y[1] (numeric) = -5.963559976051279 absolute error = 5.275779813018744e-13 relative error = 8.846695319919502e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = -5.946855326257893 y[1] (numeric) = -5.946855326258419 absolute error = 5.258016244624741e-13 relative error = 8.841675063807867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = -5.930150676465034 y[1] (numeric) = -5.930150676465558 absolute error = 5.24913446042774e-13 relative error = 8.851603857655691e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = -5.913446026672175 y[1] (numeric) = -5.913446026672698 absolute error = 5.231370892033738e-13 relative error = 8.846569104440986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = -5.896741376879317 y[1] (numeric) = -5.896741376879838 absolute error = 5.213607323639735e-13 relative error = 8.841505825712318e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = -5.880036727086457 y[1] (numeric) = -5.880036727086978 absolute error = 5.204725539442734e-13 relative error = 8.85151875917221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = -5.863332077293599 y[1] (numeric) = -5.863332077294118 absolute error = 5.186961971048731e-13 relative error = 8.846440731432924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = -5.84662742750074 y[1] (numeric) = -5.846627427501257 absolute error = 5.169198402654729e-13 relative error = 8.841333686392273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = -5.829922777707881 y[1] (numeric) = -5.829922777708397 absolute error = 5.160316618457728e-13 relative error = 8.85143219767755e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = -5.813218127915023 y[1] (numeric) = -5.813218127915537 absolute error = 5.142553050063725e-13 relative error = 8.846310145097137e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = -5.796513478122164 y[1] (numeric) = -5.796513478122677 absolute error = 5.124789481669723e-13 relative error = 8.841158570599835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = -5.779808828329305 y[1] (numeric) = -5.779808828329816 absolute error = 5.115907697472721e-13 relative error = 8.851344135116509e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = -5.763104178536446 y[1] (numeric) = -5.763104178536956 absolute error = 5.098144129078719e-13 relative error = 8.846177287694641e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = -5.746399528743588 y[1] (numeric) = -5.746399528744096 absolute error = 5.080380560684716e-13 relative error = 8.84098040046218e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = -5.729694878950728 y[1] (numeric) = -5.729694878951236 absolute error = 5.071498776487715e-13 relative error = 8.851254532102506e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = -5.71299022915787 y[1] (numeric) = -5.712990229158375 absolute error = 5.053735208093713e-13 relative error = 8.84604209946052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = -5.696285579365012 y[1] (numeric) = -5.696285579365515 absolute error = 5.03597163969971e-13 relative error = 8.84079909536609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = -5.679580929572152 y[1] (numeric) = -5.679580929572655 absolute error = 5.027089855502709e-13 relative error = 8.851163347858843e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = -5.662876279779294 y[1] (numeric) = -5.662876279779795 absolute error = 5.009326287108706e-13 relative error = 8.845904518514292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = -5.646171629986435 y[1] (numeric) = -5.646171629986934 absolute error = 4.991562718714704e-13 relative error = 8.840614571836343e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = -5.629466980193577 y[1] (numeric) = -5.629466980194074 absolute error = 4.973799150320701e-13 relative error = 8.835293230816091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = -5.612762330400717 y[1] (numeric) = -5.612762330401214 absolute error = 4.9649173661237e-13 relative error = 8.845764480765454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = -5.596057680607859 y[1] (numeric) = -5.596057680608354 absolute error = 4.947153797729698e-13 relative error = 8.840426743407556e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = -5.579353030815001 y[1] (numeric) = -5.579353030815493 absolute error = 4.929390229335695e-13 relative error = 8.835057043550508e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = -5.562648381022141 y[1] (numeric) = -5.562648381022633 absolute error = 4.920508445138694e-13 relative error = 8.845621919813932e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = -5.545943731229283 y[1] (numeric) = -5.545943731229773 absolute error = 4.902744876744691e-13 relative error = 8.840235520489091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = -5.529239081436424 y[1] (numeric) = -5.529239081436913 absolute error = 4.884981308350689e-13 relative error = 8.834816574944766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = -5.512534431643565 y[1] (numeric) = -5.512534431644053 absolute error = 4.876099524153688e-13 relative error = 8.845476766845112e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = -5.495829781850706 y[1] (numeric) = -5.495829781851192 absolute error = 4.858335955759685e-13 relative error = 8.840040810222571e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = -5.479125132057848 y[1] (numeric) = -5.479125132058332 absolute error = 4.840572387365683e-13 relative error = 8.834571707523062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = -5.462420482264989 y[1] (numeric) = -5.462420482265472 absolute error = 4.831690603168681e-13 relative error = 8.845328950519064e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = -5.44571583247213 y[1] (numeric) = -5.445715832472612 absolute error = 4.813927034774679e-13 relative error = 8.839842516331511e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = -5.429011182679272 y[1] (numeric) = -5.429011182679751 absolute error = 4.796163466380676e-13 relative error = 8.834322319472036e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = -5.412306532886412 y[1] (numeric) = -5.412306532886891 absolute error = 4.787281682183675e-13 relative error = 8.845178396853645e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = -5.395601883093554 y[1] (numeric) = -5.395601883094031 absolute error = 4.769518113789672e-13 relative error = 8.839640538962601e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = -5.378897233300695 y[1] (numeric) = -5.378897233301171 absolute error = 4.75175454539567e-13 relative error = 8.834068284438692e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = -5.362192583507836 y[1] (numeric) = -5.36219258350831 absolute error = 4.742872761198669e-13 relative error = 8.845025029101023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = -5.345487933714978 y[1] (numeric) = -5.34548793371545 absolute error = 4.725109192804666e-13 relative error = 8.839434774518023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = -5.328783283922119 y[1] (numeric) = -5.32878328392259 absolute error = 4.707345624410664e-13 relative error = 8.833809471316946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = -5.31207863412926 y[1] (numeric) = -5.31207863412973 absolute error = 4.698463840213662e-13 relative error = 8.844868767617218e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = -5.295373984336401 y[1] (numeric) = -5.295373984336869 absolute error = 4.68070027181966e-13 relative error = 8.839225115478278e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = -5.278669334543543 y[1] (numeric) = -5.278669334544009 absolute error = 4.662936703425657e-13 relative error = 8.833545744022003e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = -5.261964684750684 y[1] (numeric) = -5.261964684751149 absolute error = 4.654054919228656e-13 relative error = 8.844709529724199e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = -5.245260034957825 y[1] (numeric) = -5.245260034958289 absolute error = 4.636291350834654e-13 relative error = 8.839011450214846e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = -5.228555385164967 y[1] (numeric) = -5.228555385165429 absolute error = 4.618527782440651e-13 relative error = 8.833276961251758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = -5.211850735372107 y[1] (numeric) = -5.211850735372568 absolute error = 4.60964599824365e-13 relative error = 8.844547229564005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = -5.195146085579249 y[1] (numeric) = -5.195146085579708 absolute error = 4.591882429849647e-13 relative error = 8.83879366279199e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = -5.17844143578639 y[1] (numeric) = -5.178441435786848 absolute error = 4.574118861455645e-13 relative error = 8.833002976234347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = -5.161736785993532 y[1] (numeric) = -5.161736785993988 absolute error = 4.556355293061642e-13 relative error = 8.82717480950481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = -5.145032136200673 y[1] (numeric) = -5.145032136201127 absolute error = 4.547473508864641e-13 relative error = 8.838571632757e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = -5.128327486407814 y[1] (numeric) = -5.128327486408267 absolute error = 4.529709940470639e-13 relative error = 8.832723636460894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = -5.111622836614956 y[1] (numeric) = -5.111622836615407 absolute error = 4.511946372076636e-13 relative error = 8.826837417966777e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = -5.094918186822096 y[1] (numeric) = -5.094918186822547 absolute error = 4.503064587879635e-13 relative error = 8.838345234918043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = -5.078213537029238 y[1] (numeric) = -5.078213537029686 absolute error = 4.485301019485632e-13 relative error = 8.832438783402441e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = -5.061508887236379 y[1] (numeric) = -5.061508887236826 absolute error = 4.46753745109163e-13 relative error = 8.826493345408187e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = -5.04480423744352 y[1] (numeric) = -5.044804237443966 absolute error = 4.458655666894629e-13 relative error = 8.838114339108775e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = -5.028099587650662 y[1] (numeric) = -5.028099587651106 absolute error = 4.440892098500626e-13 relative error = 8.83214825220993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = -5.011394937857803 y[1] (numeric) = -5.011394937858245 absolute error = 4.423128530106624e-13 relative error = 8.826142391398426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = -4.994690288064944 y[1] (numeric) = -4.994690288065385 absolute error = 4.414246745909622e-13 relative error = 8.837878809938787e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = -4.977985638272085 y[1] (numeric) = -4.977985638272525 absolute error = 4.39648317751562e-13 relative error = 8.831851871396094e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = -4.961280988479227 y[1] (numeric) = -4.961280988479665 absolute error = 4.378719609121617e-13 relative error = 8.825784347408671e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = -4.944576338686367 y[1] (numeric) = -4.944576338686804 absolute error = 4.369837824924616e-13 relative error = 8.837638506528866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = -4.927871688893509 y[1] (numeric) = -4.927871688893944 absolute error = 4.352074256530614e-13 relative error = 8.83154946249791e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = -4.911167039100651 y[1] (numeric) = -4.911167039101084 absolute error = 4.334310688136611e-13 relative error = 8.825418996398715e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = -4.894462389307791 y[1] (numeric) = -4.894462389308224 absolute error = 4.32542890393961e-13 relative error = 8.837393282230007e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = -4.877757739514933 y[1] (numeric) = -4.877757739515364 absolute error = 4.307665335545607e-13 relative error = 8.831240839718256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = -4.861053089722074 y[1] (numeric) = -4.861053089722503 absolute error = 4.289901767151605e-13 relative error = 8.825046112378246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = -4.844348439929215 y[1] (numeric) = -4.844348439929643 absolute error = 4.281019982954604e-13 relative error = 8.837142984324962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = -4.827643790136356 y[1] (numeric) = -4.827643790136783 absolute error = 4.263256414560601e-13 relative error = 8.830925809545252e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = -4.810939140343498 y[1] (numeric) = -4.810939140343923 absolute error = 4.245492846166599e-13 relative error = 8.824665459940682e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = -4.794234490550639 y[1] (numeric) = -4.794234490551062 absolute error = 4.236611061969597e-13 relative error = 8.836887453711102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = -4.77752984075778 y[1] (numeric) = -4.777529840758202 absolute error = 4.218847493575595e-13 relative error = 8.83060417034764e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = -4.760825190964922 y[1] (numeric) = -4.760825190965342 absolute error = 4.201083925181592e-13 relative error = 8.824276793767592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = -4.744120541172062 y[1] (numeric) = -4.744120541172482 absolute error = 4.192202140984591e-13 relative error = 8.836626524563146e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = -4.727415891379204 y[1] (numeric) = -4.727415891379621 absolute error = 4.174438572590589e-13 relative error = 8.830275711944424e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = -4.710711241586345 y[1] (numeric) = -4.710711241586761 absolute error = 4.156675004196586e-13 relative error = 8.823879858101457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = -4.694006591793487 y[1] (numeric) = -4.694006591793901 absolute error = 4.138911435802584e-13 relative error = 8.817438482167081e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = -4.677301942000628 y[1] (numeric) = -4.677301942001041 absolute error = 4.130029651605582e-13 relative error = 8.829940215146854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = -4.660597292207769 y[1] (numeric) = -4.66059729220818 absolute error = 4.11226608321158e-13 relative error = 8.823474386184438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = -4.643892642414911 y[1] (numeric) = -4.64389264241532 absolute error = 4.094502514817577e-13 relative error = 8.816962040466894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = -4.627187992622051 y[1] (numeric) = -4.62718799262246 absolute error = 4.085620730620576e-13 relative error = 8.829597451270637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = -4.610483342829193 y[1] (numeric) = -4.6104833428296 absolute error = 4.067857162226574e-13 relative error = 8.823060099660527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = -4.593778693036334 y[1] (numeric) = -4.593778693036739 absolute error = 4.050093593832571e-13 relative error = 8.816475203675069e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = -4.577074043243475 y[1] (numeric) = -4.577074043243879 absolute error = 4.04121180963557e-13 relative error = 8.829247181616108e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = -4.560369393450617 y[1] (numeric) = -4.560369393451019 absolute error = 4.023448241241567e-13 relative error = 8.822636707938288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = -4.543664743657758 y[1] (numeric) = -4.543664743658159 absolute error = 4.005684672847565e-13 relative error = 8.815977627836366e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = -4.526960093864899 y[1] (numeric) = -4.526960093865299 absolute error = 3.996802888650564e-13 relative error = 8.828889156913878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = -4.51025544407204 y[1] (numeric) = -4.510255444072438 absolute error = 3.979039320256561e-13 relative error = 8.822203907511109e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = -4.493550794279182 y[1] (numeric) = -4.493550794279578 absolute error = 3.961275751862559e-13 relative error = 8.815468953651815e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = -4.476846144486323 y[1] (numeric) = -4.476846144486718 absolute error = 3.952393967665557e-13 relative error = 8.828523116733239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = -4.460141494693464 y[1] (numeric) = -4.460141494693858 absolute error = 3.934630399271555e-13 relative error = 8.821761381231636e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = -4.443436844900606 y[1] (numeric) = -4.443436844900997 absolute error = 3.916866830877552e-13 relative error = 8.814948805613481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = -4.426732195107746 y[1] (numeric) = -4.426732195108137 absolute error = 3.907985046680551e-13 relative error = 8.828148788850396e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = -4.410027545314888 y[1] (numeric) = -4.410027545315277 absolute error = 3.890221478286549e-13 relative error = 8.82130879753672e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = -4.393322895522029 y[1] (numeric) = -4.393322895522417 absolute error = 3.872457909892546e-13 relative error = 8.814416791079972e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = -4.37661824572917 y[1] (numeric) = -4.376618245729556 absolute error = 3.863576125695545e-13 relative error = 8.827765888573291e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = -4.359913595936312 y[1] (numeric) = -4.359913595936696 absolute error = 3.845812557301542e-13 relative error = 8.820845809618931e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = -4.343208946143453 y[1] (numeric) = -4.343208946143836 absolute error = 3.82804898890754e-13 relative error = 8.813872499288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = -4.326504296350594 y[1] (numeric) = -4.326504296350976 absolute error = 3.819167204710538e-13 relative error = 8.827374118019496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = -4.309799646557735 y[1] (numeric) = -4.309799646558115 absolute error = 3.801403636316536e-13 relative error = 8.820372054540265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = -4.293094996764877 y[1] (numeric) = -4.293094996765255 absolute error = 3.783640067922533e-13 relative error = 8.813315500294658e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = -4.276390346972017 y[1] (numeric) = -4.276390346972395 absolute error = 3.774758283725532e-13 relative error = 8.826973165343347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = -4.259685697179159 y[1] (numeric) = -4.259685697179535 absolute error = 3.75699471533153e-13 relative error = 8.819887152283276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = -4.242981047386301 y[1] (numeric) = -4.242981047386674 absolute error = 3.739231146937527e-13 relative error = 8.812745343844781e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = -4.226276397593442 y[1] (numeric) = -4.226276397593814 absolute error = 3.721467578543525e-13 relative error = 8.805547078422581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = -4.209571747800583 y[1] (numeric) = -4.209571747800954 absolute error = 3.712585794346523e-13 relative error = 8.819390704734456e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = -4.192867098007724 y[1] (numeric) = -4.192867098008094 absolute error = 3.694822225952521e-13 relative error = 8.812161558157058e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = -4.176162448214866 y[1] (numeric) = -4.176162448215234 absolute error = 3.677058657558518e-13 relative error = 8.804874578407041e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = -4.159457798422006 y[1] (numeric) = -4.159457798422373 absolute error = 3.668176873361517e-13 relative error = 8.818882294594096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = -4.142753148629148 y[1] (numeric) = -4.142753148629513 absolute error = 3.650413304967515e-13 relative error = 8.811563648622052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = -4.12604849883629 y[1] (numeric) = -4.126048498836653 absolute error = 3.632649736573512e-13 relative error = 8.804185742358736e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = -4.10934384904343 y[1] (numeric) = -4.109343849043793 absolute error = 3.623767952376511e-13 relative error = 8.81836148420641e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = -4.092639199250572 y[1] (numeric) = -4.092639199250932 absolute error = 3.606004383982508e-13 relative error = 8.810951096404556e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = -4.075934549457713 y[1] (numeric) = -4.075934549458072 absolute error = 3.588240815588506e-13 relative error = 8.803479967719077e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = -4.059229899664854 y[1] (numeric) = -4.059229899665212 absolute error = 3.579359031391505e-13 relative error = 8.81782781430298e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = -4.042525249871995 y[1] (numeric) = -4.042525249872352 absolute error = 3.561595462997502e-13 relative error = 8.810323356941996e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = -4.025820600079137 y[1] (numeric) = -4.025820600079491 absolute error = 3.5438318946035e-13 relative error = 8.802756621926564e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = -4.009115950286278 y[1] (numeric) = -4.009115950286631 absolute error = 3.534950110406498e-13 relative error = 8.817280802651964e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = -3.992411300493419 y[1] (numeric) = -3.992411300493771 absolute error = 3.517186542012496e-13 relative error = 8.80967985832975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = -3.97570665070056 y[1] (numeric) = -3.975706650700911 absolute error = 3.503863865716994e-13 relative error = 8.813185110374221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = -3.959002000907702 y[1] (numeric) = -3.95900200090805 absolute error = 3.486100297322992e-13 relative error = 8.805502741659929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = -3.942297351114843 y[1] (numeric) = -3.94229735111519 absolute error = 3.47277762102749e-13 relative error = 8.809019999583294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = -3.925592701321984 y[1] (numeric) = -3.92559270132233 absolute error = 3.455014052633487e-13 relative error = 8.801254525131899e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = -3.908888051529126 y[1] (numeric) = -3.90888805152947 absolute error = 3.441691376337985e-13 relative error = 8.80478369031731e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = -3.892183401736267 y[1] (numeric) = -3.892183401736609 absolute error = 3.428368700042483e-13 relative error = 8.808343148766115e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = -3.875478751943408 y[1] (numeric) = -3.875478751943749 absolute error = 3.410605131648481e-13 relative error = 8.800474341236395e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = -3.858774102150549 y[1] (numeric) = -3.858774102150889 absolute error = 3.397282455352979e-13 relative error = 8.804045962316441e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = -3.84206945235769 y[1] (numeric) = -3.842069452358029 absolute error = 3.383959779057477e-13 relative error = 8.807648640971095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = -3.825364802564832 y[1] (numeric) = -3.825364802565169 absolute error = 3.366196210663475e-13 relative error = 8.799673715841444e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = -3.808660152771973 y[1] (numeric) = -3.808660152772308 absolute error = 3.352873534367973e-13 relative error = 8.803288820420811e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = -3.791955502979114 y[1] (numeric) = -3.791955502979448 absolute error = 3.339550858072471e-13 relative error = 8.806935776141846e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = -3.775250853186256 y[1] (numeric) = -3.775250853186588 absolute error = 3.321787289678468e-13 relative error = 8.798851834905036e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = -3.758546203393397 y[1] (numeric) = -3.758546203393728 absolute error = 3.308464613382966e-13 relative error = 8.802511488074631e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = -3.741841553600538 y[1] (numeric) = -3.741841553600867 absolute error = 3.295141937087465e-13 relative error = 8.806203816718956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = -3.725136903807679 y[1] (numeric) = -3.725136903808007 absolute error = 3.277378368693462e-13 relative error = 8.798007840580203e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = -3.70843225401482 y[1] (numeric) = -3.708432254015147 absolute error = 3.26405569239796e-13 relative error = 8.801713146746123e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = -3.691727604221962 y[1] (numeric) = -3.691727604222287 absolute error = 3.246292124003958e-13 relative error = 8.793422679103973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = -3.675022954429103 y[1] (numeric) = -3.675022954429426 absolute error = 3.232969447708456e-13 relative error = 8.797140828228329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = -3.658318304636244 y[1] (numeric) = -3.658318304636566 absolute error = 3.219646771412954e-13 relative error = 8.800892933052449e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = -3.641613654843386 y[1] (numeric) = -3.641613654843706 absolute error = 3.201883203018951e-13 relative error = 8.792484613957914e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = -3.624909005050527 y[1] (numeric) = -3.624909005050846 absolute error = 3.18856052672345e-13 relative error = 8.796249843184697e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = -3.608204355257668 y[1] (numeric) = -3.608204355257985 absolute error = 3.175237850427948e-13 relative error = 8.800049935645063e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = -3.591499705464809 y[1] (numeric) = -3.591499705465125 absolute error = 3.157474282033945e-13 relative error = 8.79152037024964e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = -3.574795055671951 y[1] (numeric) = -3.574795055672265 absolute error = 3.144151605738443e-13 relative error = 8.795333877251993e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = -3.558090405879092 y[1] (numeric) = -3.558090405879405 absolute error = 3.130828929442941e-13 relative error = 8.799183191831835e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = -3.541385756086233 y[1] (numeric) = -3.541385756086544 absolute error = 3.113065361048939e-13 relative error = 8.790528836625093e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = -3.524681106293374 y[1] (numeric) = -3.524681106293684 absolute error = 3.099742684753437e-13 relative error = 8.794391864894663e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = -3.507976456500515 y[1] (numeric) = -3.507976456500824 absolute error = 3.086420008457935e-13 relative error = 8.798291683909658e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = -3.491271806707657 y[1] (numeric) = -3.491271806707964 absolute error = 3.068656440063933e-13 relative error = 8.789508837920415e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = -3.474567156914798 y[1] (numeric) = -3.474567156915104 absolute error = 3.055333763768431e-13 relative error = 8.793422679103947e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = -3.45786250712194 y[1] (numeric) = -3.457862507122243 absolute error = 3.037570195374428e-13 relative error = 8.784531452937004e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = -3.441157857329081 y[1] (numeric) = -3.441157857329383 absolute error = 3.024247519078926e-13 relative error = 8.788459130515603e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = -3.424453207536222 y[1] (numeric) = -3.424453207536523 absolute error = 3.010924842783425e-13 relative error = 8.792425126899844e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = -3.407748557743363 y[1] (numeric) = -3.407748557743663 absolute error = 2.993161274389422e-13 relative error = 8.783398257445133e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = -3.391043907950504 y[1] (numeric) = -3.391043907950802 absolute error = 2.97983859809392e-13 relative error = 8.787378397276164e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = -3.374339258157645 y[1] (numeric) = -3.374339258157942 absolute error = 2.966515921798418e-13 relative error = 8.791397944432254e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = -3.357634608364787 y[1] (numeric) = -3.357634608365082 absolute error = 2.948752353404416e-13 relative error = 8.78223123522216e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = -3.340929958571928 y[1] (numeric) = -3.340929958572222 absolute error = 2.935429677108914e-13 relative error = 8.786265242039542e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = -3.324225308779069 y[1] (numeric) = -3.324225308779361 absolute error = 2.922107000813412e-13 relative error = 8.790339791639009e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = -3.307520658986211 y[1] (numeric) = -3.307520658986501 absolute error = 2.90434343241941e-13 relative error = 8.781028848689401e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = -3.290816009193352 y[1] (numeric) = -3.290816009193641 absolute error = 2.891020756123908e-13 relative error = 8.785118183597744e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = -3.274111359400493 y[1] (numeric) = -3.274111359400781 absolute error = 2.877698079828406e-13 relative error = 8.789249246413315e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = -3.257406709607634 y[1] (numeric) = -3.25740670960792 absolute error = 2.859934511434403e-13 relative error = 8.779789465647941e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = -3.240702059814776 y[1] (numeric) = -3.24070205981506 absolute error = 2.846611835138901e-13 relative error = 8.783935649121663e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = -3.223997410021917 y[1] (numeric) = -3.2239974100222 absolute error = 2.828848266744899e-13 relative error = 8.774350307947884e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = -3.207292760229058 y[1] (numeric) = -3.20729276022934 absolute error = 2.815525590449397e-13 relative error = 8.778511351886437e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = -3.190588110436199 y[1] (numeric) = -3.190588110436479 absolute error = 2.802202914153895e-13 relative error = 8.782715966965707e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = -3.173883460643341 y[1] (numeric) = -3.173883460643619 absolute error = 2.784439345759893e-13 relative error = 8.77297285891994e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = -3.157178810850482 y[1] (numeric) = -3.157178810850759 absolute error = 2.771116669464391e-13 relative error = 8.777192663084883e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = -3.140474161057623 y[1] (numeric) = -3.140474161057899 absolute error = 2.757793993168889e-13 relative error = 8.781457358783495e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = -3.123769511264765 y[1] (numeric) = -3.123769511265039 absolute error = 2.740030424774886e-13 relative error = 8.771551213666503e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = -3.107064861471906 y[1] (numeric) = -3.107064861472178 absolute error = 2.726707748479384e-13 relative error = 8.775831435934894e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = -3.090360211679047 y[1] (numeric) = -3.090360211679318 absolute error = 2.713385072183883e-13 relative error = 8.780157930876457e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = -3.073655561886188 y[1] (numeric) = -3.073655561886458 absolute error = 2.69562150378988e-13 relative error = 8.77008321041567e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = -3.056950912093329 y[1] (numeric) = -3.056950912093598 absolute error = 2.682298827494378e-13 relative error = 8.774425578386543e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = -3.04024626230047 y[1] (numeric) = -3.040246262300737 absolute error = 2.668976151198876e-13 relative error = 8.778815664686767e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = -3.023541612507612 y[1] (numeric) = -3.023541612507877 absolute error = 2.651212582804874e-13 relative error = 8.768566544073649e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = -3.006836962714753 y[1] (numeric) = -3.006836962715017 absolute error = 2.637889906509372e-13 relative error = 8.772972858919915e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = -2.990132312921895 y[1] (numeric) = -2.990132312922157 absolute error = 2.620126338115369e-13 relative error = 8.762576581619683e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = -2.973427663129036 y[1] (numeric) = -2.973427663129296 absolute error = 2.606803661819868e-13 relative error = 8.766998754147065e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = -2.956723013336177 y[1] (numeric) = -2.956723013336436 absolute error = 2.593480985524366e-13 relative error = 8.771470894725604e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = -2.940018363543318 y[1] (numeric) = -2.940018363543576 absolute error = 2.575717417130363e-13 relative error = 8.760888874265742e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = -2.923313713750459 y[1] (numeric) = -2.923313713750716 absolute error = 2.562394740834861e-13 relative error = 8.765377211422999e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = -2.906609063957601 y[1] (numeric) = -2.906609063957855 absolute error = 2.549072064539359e-13 relative error = 8.769917138662523e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = -2.889904414164742 y[1] (numeric) = -2.889904414164995 absolute error = 2.531308496145357e-13 relative error = 8.759142633708773e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = -2.873199764371883 y[1] (numeric) = -2.873199764372135 absolute error = 2.517985819849855e-13 relative error = 8.763699103255069e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = -2.856495114579024 y[1] (numeric) = -2.856495114579275 absolute error = 2.504663143554353e-13 relative error = 8.768308864842844e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = -2.839790464786166 y[1] (numeric) = -2.839790464786415 absolute error = 2.486899575160351e-13 relative error = 8.757334761132147e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = -2.823085814993307 y[1] (numeric) = -2.823085814993554 absolute error = 2.473576898864849e-13 relative error = 8.761961417282362e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = -2.806381165200448 y[1] (numeric) = -2.806381165200694 absolute error = 2.460254222569347e-13 relative error = 8.766643152672461e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = -2.78967651540759 y[1] (numeric) = -2.789676515407834 absolute error = 2.442490654175344e-13 relative error = 8.755461935049773e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = -2.772971865614731 y[1] (numeric) = -2.772971865614974 absolute error = 2.429167977879843e-13 relative error = 8.76016092338293e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = -2.756267215821872 y[1] (numeric) = -2.756267215822113 absolute error = 2.41140440948584e-13 relative error = 8.748804889611547e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = -2.739562566029013 y[1] (numeric) = -2.739562566029253 absolute error = 2.398081733190338e-13 relative error = 8.753520590939996e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = -2.722857916236154 y[1] (numeric) = -2.722857916236393 absolute error = 2.384759056894836e-13 relative error = 8.758294153634439e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = -2.706153266443296 y[1] (numeric) = -2.706153266443533 absolute error = 2.366995488500834e-13 relative error = 8.746716299671312e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = -2.689448616650437 y[1] (numeric) = -2.689448616650672 absolute error = 2.353672812205332e-13 relative error = 8.751506898602526e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = -2.672743966857578 y[1] (numeric) = -2.672743966857812 absolute error = 2.34035013590983e-13 relative error = 8.756357380020379e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = -2.65603931706472 y[1] (numeric) = -2.656039317064952 absolute error = 2.322586567515827e-13 relative error = 8.744548895016349e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = -2.639334667271861 y[1] (numeric) = -2.639334667272092 absolute error = 2.309263891220326e-13 relative error = 8.749416736935784e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = -2.622630017479002 y[1] (numeric) = -2.622630017479231 absolute error = 2.295941214924824e-13 relative error = 8.754346589580305e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = -2.605925367686143 y[1] (numeric) = -2.605925367686371 absolute error = 2.278177646530821e-13 relative error = 8.74229812864389e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = -2.589220717893284 y[1] (numeric) = -2.589220717893511 absolute error = 2.264854970235319e-13 relative error = 8.747245665785169e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = -2.572516068100426 y[1] (numeric) = -2.572516068100651 absolute error = 2.251532293939817e-13 relative error = 8.752257456655553e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = -2.555811418307567 y[1] (numeric) = -2.55581141830779 absolute error = 2.233768725545815e-13 relative error = 8.73995909692349e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = -2.539106768514708 y[1] (numeric) = -2.53910676851493 absolute error = 2.220446049250313e-13 relative error = 8.744988894457554e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = -2.52240211872185 y[1] (numeric) = -2.52240211872207 absolute error = 2.202682480856311e-13 relative error = 8.732479506370113e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -2.505697468928991 y[1] (numeric) = -2.50569746892921 absolute error = 2.189359804560809e-13 relative error = 8.737526503934275e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -2.488992819136132 y[1] (numeric) = -2.48899281913635 absolute error = 2.176037128265307e-13 relative error = 8.742641246432184e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -2.472288169343273 y[1] (numeric) = -2.472288169343489 absolute error = 2.158273559871304e-13 relative error = 8.729862427180638e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -2.455583519550415 y[1] (numeric) = -2.455583519550629 absolute error = 2.144950883575802e-13 relative error = 8.734994621435296e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -2.438878869757556 y[1] (numeric) = -2.438878869757769 absolute error = 2.131628207280301e-13 relative error = 8.74019711972084e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -2.422174219964697 y[1] (numeric) = -2.422174219964909 absolute error = 2.113864638886298e-13 relative error = 8.727137055059182e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -2.405469570171838 y[1] (numeric) = -2.405469570172048 absolute error = 2.100541962590796e-13 relative error = 8.732357243832193e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -2.388764920378979 y[1] (numeric) = -2.388764920379188 absolute error = 2.087219286295294e-13 relative error = 8.737650442238391e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -2.372060270586121 y[1] (numeric) = -2.372060270586328 absolute error = 2.069455717901292e-13 relative error = 8.724296526369216e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -2.355355620793262 y[1] (numeric) = -2.355355620793468 absolute error = 2.05613304160579e-13 relative error = 8.729607637394914e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -2.338650971000403 y[1] (numeric) = -2.338650971000607 absolute error = 2.042810365310288e-13 relative error = 8.734994621435266e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -2.321946321207545 y[1] (numeric) = -2.321946321207747 absolute error = 2.025046796916286e-13 relative error = 8.721333384930043e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -2.305241671414686 y[1] (numeric) = -2.305241671414887 absolute error = 2.011724120620784e-13 relative error = 8.726738482851668e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -2.288537021621827 y[1] (numeric) = -2.288537021622027 absolute error = 1.993960552226781e-13 relative error = 8.712817548451598e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -2.271832371828968 y[1] (numeric) = -2.271832371829166 absolute error = 1.980637875931279e-13 relative error = 8.71823951666267e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -2.255127722036109 y[1] (numeric) = -2.255127722036306 absolute error = 1.967315199635777e-13 relative error = 8.723741810328722e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -2.238423072243251 y[1] (numeric) = -2.238423072243446 absolute error = 1.949551631241775e-13 relative error = 8.709486849990419e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -2.221718422450392 y[1] (numeric) = -2.221718422450586 absolute error = 1.936228954946273e-13 relative error = 8.715006075390754e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -2.205013772657533 y[1] (numeric) = -2.205013772657725 absolute error = 1.922906278650771e-13 relative error = 8.720608925418368e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -2.188309122864675 y[1] (numeric) = -2.188309122864865 absolute error = 1.905142710256769e-13 relative error = 8.706003600454683e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -2.171604473071816 y[1] (numeric) = -2.171604473072005 absolute error = 1.891820033961267e-13 relative error = 8.711623398367827e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -2.154899823278957 y[1] (numeric) = -2.154899823279145 absolute error = 1.878497357665765e-13 relative error = 8.717330324930789e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -2.138195173486098 y[1] (numeric) = -2.138195173486285 absolute error = 1.860733789271762e-13 relative error = 8.702357073596959e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -2.12149052369324 y[1] (numeric) = -2.121490523693424 absolute error = 1.84741111297626e-13 relative error = 8.708080909832006e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -2.104785873900381 y[1] (numeric) = -2.104785873900564 absolute error = 1.829647544582258e-13 relative error = 8.692796579785743e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -2.088081224107522 y[1] (numeric) = -2.088081224107704 absolute error = 1.816324868286756e-13 relative error = 8.698535513450063e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -2.071376574314663 y[1] (numeric) = -2.071376574314844 absolute error = 1.803002191991254e-13 relative error = 8.704367010560581e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -2.054671924521805 y[1] (numeric) = -2.054671924521983 absolute error = 1.785238623597252e-13 relative error = 8.688679697673585e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -2.037967274728946 y[1] (numeric) = -2.037967274729123 absolute error = 1.77191594730175e-13 relative error = 8.694526007722174e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -2.021262624936087 y[1] (numeric) = -2.021262624936263 absolute error = 1.758593271006248e-13 relative error = 8.700468950994705e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -2.004557975143229 y[1] (numeric) = -2.004557975143403 absolute error = 1.740829702612245e-13 relative error = 8.684356971455818e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -1.98785332535037 y[1] (numeric) = -1.987853325350542 absolute error = 1.727507026316744e-13 relative error = 8.690314342041616e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -1.971148675557511 y[1] (numeric) = -1.971148675557682 absolute error = 1.711963903971991e-13 relative error = 8.685107953552957e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -1.954444025764652 y[1] (numeric) = -1.954444025764822 absolute error = 1.69864122767649e-13 relative error = 8.691173578183787e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -1.937739375971793 y[1] (numeric) = -1.937739375971962 absolute error = 1.683098105331737e-13 relative error = 8.685884831584479e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -1.921034726178935 y[1] (numeric) = -1.921034726179101 absolute error = 1.667554982986985e-13 relative error = 8.680504106783444e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -1.904330076386076 y[1] (numeric) = -1.904330076386241 absolute error = 1.652011860642233e-13 relative error = 8.675028983301689e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -1.887625426593217 y[1] (numeric) = -1.887625426593381 absolute error = 1.638689184346731e-13 relative error = 8.68122012588183e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -1.870920776800358 y[1] (numeric) = -1.870920776800521 absolute error = 1.623146062001979e-13 relative error = 8.675653625365566e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -1.8542161270075 y[1] (numeric) = -1.85421612700766 absolute error = 1.607602939657227e-13 relative error = 8.6699868275427e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -1.837511477214641 y[1] (numeric) = -1.8375114772148 absolute error = 1.594280263361725e-13 relative error = 8.676300981686308e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -1.820806827421782 y[1] (numeric) = -1.82080682742194 absolute error = 1.578737141016973e-13 relative error = 8.670536144970555e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -1.804102177628923 y[1] (numeric) = -1.80410217762908 absolute error = 1.56319401867222e-13 relative error = 8.664664552019324e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -1.787397527836065 y[1] (numeric) = -1.78739752783622 absolute error = 1.547650896327468e-13 relative error = 8.658683209667137e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -1.770692878043206 y[1] (numeric) = -1.770692878043359 absolute error = 1.534328220031966e-13 relative error = 8.665128995873941e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -1.753988228250347 y[1] (numeric) = -1.753988228250499 absolute error = 1.518785097687214e-13 relative error = 8.659038146466042e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -1.737283578457488 y[1] (numeric) = -1.737283578457639 absolute error = 1.503241975342462e-13 relative error = 8.652830165338758e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -1.72057892866463 y[1] (numeric) = -1.720578928664779 absolute error = 1.48991929904696e-13 relative error = 8.659406867218302e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -1.703874278871771 y[1] (numeric) = -1.703874278871918 absolute error = 1.474376176702208e-13 relative error = 8.653080775880212e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -1.687169629078912 y[1] (numeric) = -1.687169629079058 absolute error = 1.458833054357456e-13 relative error = 8.646629415406714e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -1.670464979286053 y[1] (numeric) = -1.670464979286198 absolute error = 1.445510378061954e-13 relative error = 8.653341410843322e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -1.653760329493193 y[1] (numeric) = -1.653760329493338 absolute error = 1.449951270160454e-13 relative error = 8.767602199073205e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -1.637055679700332 y[1] (numeric) = -1.637055679700477 absolute error = 1.452171716209705e-13 relative error = 8.870631183879641e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -1.620351029907471 y[1] (numeric) = -1.620351029907617 absolute error = 1.456612608308205e-13 relative error = 8.989487965403298e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -1.603646380114611 y[1] (numeric) = -1.603646380114757 absolute error = 1.461053500406706e-13 relative error = 9.110820929875365e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -1.58694173032175 y[1] (numeric) = -1.586941730321897 absolute error = 1.463273946455956e-13 relative error = 9.22071629031571e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -1.57023708052889 y[1] (numeric) = -1.570237080529036 absolute error = 1.467714838554457e-13 relative error = 9.347090683020292e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -1.553532430736029 y[1] (numeric) = -1.553532430736176 absolute error = 1.472155730652958e-13 relative error = 9.476182804600243e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -1.536827780943169 y[1] (numeric) = -1.536827780943316 absolute error = 1.474376176702208e-13 relative error = 9.593633034128043e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -1.520123131150308 y[1] (numeric) = -1.520123131150456 absolute error = 1.478817068800709e-13 relative error = 9.728271601798847e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -1.503418481357447 y[1] (numeric) = -1.503418481357595 absolute error = 1.483257960899209e-13 relative error = 9.865902137640114e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -1.486713831564587 y[1] (numeric) = -1.486713831564735 absolute error = 1.485478406948459e-13 relative error = 9.991690232579412e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -1.470009181771726 y[1] (numeric) = -1.470009181771875 absolute error = 1.48991929904696e-13 relative error = 1.013544212867594e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -1.453304531978865 y[1] (numeric) = -1.453304531979015 absolute error = 1.494360191145461e-13 relative error = 1.028249866606204e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -1.436599882186005 y[1] (numeric) = -1.436599882186155 absolute error = 1.496580637194711e-13 relative error = 1.041751886348088e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -1.419895232393144 y[1] (numeric) = -1.419895232393294 absolute error = 1.501021529293212e-13 relative error = 1.057135410450906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -1.403190582600284 y[1] (numeric) = -1.403190582600434 absolute error = 1.503241975342462e-13 relative error = 1.071302782375271e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -1.386485932807423 y[1] (numeric) = -1.386485932807574 absolute error = 1.507682867440963e-13 relative error = 1.087413028697763e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -1.369781283014562 y[1] (numeric) = -1.369781283014714 absolute error = 1.512123759539463e-13 relative error = 1.103916207857388e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -1.353076633221702 y[1] (numeric) = -1.353076633221853 absolute error = 1.514344205588714e-13 relative error = 1.119185837969155e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -1.336371983428841 y[1] (numeric) = -1.336371983428993 absolute error = 1.518785097687214e-13 relative error = 1.136498756723663e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -1.319667333635981 y[1] (numeric) = -1.319667333636133 absolute error = 1.523225989785715e-13 relative error = 1.154249977218792e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -1.30296268384312 y[1] (numeric) = -1.302962683843273 absolute error = 1.525446435834965e-13 relative error = 1.170752205531799e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -1.286258034050259 y[1] (numeric) = -1.286258034050412 absolute error = 1.529887327933466e-13 relative error = 1.18940934667366e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -1.269553384257399 y[1] (numeric) = -1.269553384257552 absolute error = 1.534328220031966e-13 relative error = 1.208557465213991e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -1.252848734464538 y[1] (numeric) = -1.252848734464692 absolute error = 1.536548666081217e-13 relative error = 1.226443882499455e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -1.236144084671678 y[1] (numeric) = -1.236144084671832 absolute error = 1.540989558179717e-13 relative error = 1.246609984457441e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -1.219439434878817 y[1] (numeric) = -1.219439434878971 absolute error = 1.543210004228968e-13 relative error = 1.265507707959539e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -1.202734785085956 y[1] (numeric) = -1.202734785086111 absolute error = 1.547650896327468e-13 relative error = 1.286776532547748e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -1.186030135293096 y[1] (numeric) = -1.186030135293251 absolute error = 1.552091788425969e-13 relative error = 1.308644478955344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -1.169325485500235 y[1] (numeric) = -1.169325485500391 absolute error = 1.554312234475219e-13 relative error = 1.329238311957502e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -1.152620835707375 y[1] (numeric) = -1.15262083570753 absolute error = 1.55875312657372e-13 relative error = 1.352355499991546e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -1.135916185914514 y[1] (numeric) = -1.13591618591467 absolute error = 1.56319401867222e-13 relative error = 1.376152605320708e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -1.119211536121653 y[1] (numeric) = -1.11921153612181 absolute error = 1.565414464721471e-13 relative error = 1.398676134223939e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -1.102506886328793 y[1] (numeric) = -1.10250688632895 absolute error = 1.569855356819971e-13 relative error = 1.423896191748416e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -1.085802236535932 y[1] (numeric) = -1.08580223653609 absolute error = 1.574296248918472e-13 relative error = 1.449892251042876e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -1.069097586743072 y[1] (numeric) = -1.069097586743229 absolute error = 1.576516694967722e-13 relative error = 1.474623752327855e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -1.052392936950211 y[1] (numeric) = -1.052392936950369 absolute error = 1.580957587066223e-13 relative error = 1.502250282720226e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -1.035688287157351 y[1] (numeric) = -1.035688287157509 absolute error = 1.583178033115473e-13 relative error = 1.528624058751128e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -1.01898363736449 y[1] (numeric) = -1.018983637364649 absolute error = 1.587618925213974e-13 relative error = 1.558041627950188e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -1.002278987571629 y[1] (numeric) = -1.002278987571788 absolute error = 1.592059817312474e-13 relative error = 1.588439782789217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -0.9855743377787686 y[1] (numeric) = -0.9855743377789281 absolute error = 1.59539048638635e-13 relative error = 1.618741910409265e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -0.968869687985908 y[1] (numeric) = -0.9688696879860679 absolute error = 1.598721155460225e-13 relative error = 1.650088938981729e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -0.9521650381930474 y[1] (numeric) = -0.9521650381932076 absolute error = 1.602051824534101e-13 relative error = 1.682535863293577e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -0.9354603884001869 y[1] (numeric) = -0.9354603884003474 absolute error = 1.605382493607976e-13 relative error = 1.716141606330849e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -0.9187557386073262 y[1] (numeric) = -0.9187557386074872 absolute error = 1.609823385706477e-13 relative error = 1.752177774853074e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -0.9020510888144656 y[1] (numeric) = -0.9020510888146269 absolute error = 1.613154054780352e-13 relative error = 1.788317840068754e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -0.885346439021605 y[1] (numeric) = -0.8853464390217667 absolute error = 1.616484723854228e-13 relative error = 1.825821681330308e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -0.8686417892287444 y[1] (numeric) = -0.8686417892289064 absolute error = 1.620925615952729e-13 relative error = 1.866046091786497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -0.8519371394358838 y[1] (numeric) = -0.8519371394360462 absolute error = 1.624256285026604e-13 relative error = 1.906544755288068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -0.8352324896430232 y[1] (numeric) = -0.835232489643186 absolute error = 1.627586954100479e-13 relative error = 1.948663365329702e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -0.8185278398501626 y[1] (numeric) = -0.8185278398503257 absolute error = 1.630917623174355e-13 relative error = 1.992501102311812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -0.801823190057302 y[1] (numeric) = -0.8018231900574655 absolute error = 1.635358515272856e-13 relative error = 2.039550034909798e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -0.7851185402644414 y[1] (numeric) = -0.7851185402646053 absolute error = 1.638689184346731e-13 relative error = 2.087186966435403e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -0.7684138904715808 y[1] (numeric) = -0.768413890471745 absolute error = 1.642019853420607e-13 relative error = 2.136895068896904e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -0.7517092406787202 y[1] (numeric) = -0.7517092406788848 absolute error = 1.645350522494482e-13 relative error = 2.188812420356694e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -0.7350045908858596 y[1] (numeric) = -0.7350045908860245 absolute error = 1.649791414592983e-13 relative error = 2.244600149510062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -0.718299941092999 y[1] (numeric) = -0.7182999410931643 absolute error = 1.653122083666858e-13 relative error = 2.301437030819451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -0.7015952913001384 y[1] (numeric) = -0.7015952913003041 absolute error = 1.656452752740734e-13 relative error = 2.360980430286429e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -0.6848906415072777 y[1] (numeric) = -0.6848906415074438 absolute error = 1.660893644839234e-13 relative error = 2.425049408156624e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -0.6681859917144172 y[1] (numeric) = -0.6681859917145836 absolute error = 1.66422431391311e-13 relative error = 2.49066028703038e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -0.6514813419215566 y[1] (numeric) = -0.6514813419217234 absolute error = 1.667554982986985e-13 relative error = 2.559635826359202e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -0.634776692128696 y[1] (numeric) = -0.6347766921288631 absolute error = 1.670885652060861e-13 relative error = 2.632241657231645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -0.6180720423358353 y[1] (numeric) = -0.6180720423360029 absolute error = 1.675326544159361e-13 relative error = 2.710568395599839e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -0.6013673925429748 y[1] (numeric) = -0.6013673925431426 absolute error = 1.678657213233237e-13 relative error = 2.79140045511077e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -0.5846627427501142 y[1] (numeric) = -0.5846627427502824 absolute error = 1.681987882307112e-13 relative error = 2.876851489450896e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = -0.5679580929572535 y[1] (numeric) = -0.5679580929574222 absolute error = 1.686428774405613e-13 relative error = 2.969283817446262e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = -0.551253443164393 y[1] (numeric) = -0.5512534431645619 absolute error = 1.689759443479488e-13 relative error = 3.065304107271714e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = -0.5345487933715324 y[1] (numeric) = -0.5345487933717017 absolute error = 1.693090112553364e-13 relative error = 3.167325665211257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = -0.5178441435786718 y[1] (numeric) = -0.5178441435788415 absolute error = 1.696420781627239e-13 relative error = 3.2759292591469e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = -0.5011394937858111 y[1] (numeric) = -0.5011394937859812 absolute error = 1.70086167372574e-13 relative error = 3.393988489864849e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = -0.4844348439929506 y[1] (numeric) = -0.4844348439931204 absolute error = 1.69864122767649e-13 relative error = 3.506438995336198e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = -0.46773019420009 y[1] (numeric) = -0.4677301942002596 absolute error = 1.696420781627239e-13 relative error = 3.626921679769787e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = -0.4510255444072294 y[1] (numeric) = -0.4510255444073988 absolute error = 1.694755447090301e-13 relative error = 3.75755978370953e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = -0.4343208946143688 y[1] (numeric) = -0.434320894614538 absolute error = 1.692535001041051e-13 relative error = 3.896968858806215e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = -0.4176162448215082 y[1] (numeric) = -0.4176162448216773 absolute error = 1.690869666504113e-13 relative error = 4.048859898222594e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = -0.4009115950286476 y[1] (numeric) = -0.4009115950288165 absolute error = 1.688649220454863e-13 relative error = 4.212023901015382e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = -0.384206945235787 y[1] (numeric) = -0.3842069452359557 absolute error = 1.686983885917925e-13 relative error = 4.390820902216193e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = -0.3675022954429263 y[1] (numeric) = -0.3675022954430949 absolute error = 1.685318551380988e-13 relative error = 4.585872176253441e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = -0.3507976456500658 y[1] (numeric) = -0.3507976456502341 absolute error = 1.683098105331737e-13 relative error = 4.797917335541906e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = -0.3340929958572051 y[1] (numeric) = -0.3340929958573733 absolute error = 1.6814327707948e-13 relative error = 5.032828558649166e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = -0.3173883460643446 y[1] (numeric) = -0.3173883460645125 absolute error = 1.679212324745549e-13 relative error = 5.29071828114672e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = -0.3006836962714839 y[1] (numeric) = -0.3006836962716517 absolute error = 1.677546990208612e-13 relative error = 5.579108581577277e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = -0.2839790464786234 y[1] (numeric) = -0.2839790464787909 absolute error = 1.675326544159361e-13 relative error = 5.899472390423256e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = -0.2672743966857627 y[1] (numeric) = -0.2672743966859301 absolute error = 1.673661209622423e-13 relative error = 6.261958610237419e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = -0.2505697468929022 y[1] (numeric) = -0.2505697468930693 absolute error = 1.671440763573173e-13 relative error = 6.670560928840207e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = -0.2338650971000416 y[1] (numeric) = -0.2338650971002088 absolute error = 1.672550986597798e-13 relative error = 7.151776846300085e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = -0.217160447307181 y[1] (numeric) = -0.2171604473073483 absolute error = 1.673383653866267e-13 relative error = 7.705747868069217e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = -0.2004557975143204 y[1] (numeric) = -0.2004557975144878 absolute error = 1.674216321134736e-13 relative error = 8.352047393466541e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = -0.1837511477214598 y[1] (numeric) = -0.1837511477216273 absolute error = 1.675048988403205e-13 relative error = 9.115855923481565e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = -0.1670464979285992 y[1] (numeric) = -0.1670464979287667 absolute error = 1.675881655671674e-13 relative error = 1.00324261594996e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = -0.1503418481357386 y[1] (numeric) = -0.1503418481359062 absolute error = 1.676714322940143e-13 relative error = 1.115267867018832e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = -0.133637198342878 y[1] (numeric) = -0.1336371983430457 absolute error = 1.677546990208612e-13 relative error = 1.255299430854923e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = -0.1169325485500173 y[1] (numeric) = -0.1169325485501851 absolute error = 1.677824545964768e-13 relative error = 1.434865284961343e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = -0.1002278987571567 y[1] (numeric) = -0.1002278987573245 absolute error = 1.677269434452455e-13 relative error = 1.673455649824935e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = -0.08352324896429614 y[1] (numeric) = -0.08352324896446382 absolute error = 1.676853100818221e-13 relative error = 2.007648315422965e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = -0.06681859917143554 y[1] (numeric) = -0.06681859917160317 absolute error = 1.676297989305908e-13 relative error = 2.508729620333785e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = -0.05011394937857494 y[1] (numeric) = -0.05011394937874257 absolute error = 1.676297989305908e-13 relative error = 3.344972827111828e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = -0.03340929958571434 y[1] (numeric) = -0.03340929958588199 absolute error = 1.676436767183986e-13 relative error = 5.017874627640571e-10 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = -0.01670464979285374 y[1] (numeric) = -0.0167046497930214 absolute error = 1.676610239531584e-13 relative error = 1.003678772271442e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = 6.850386943522001e-15 y[1] (numeric) = -1.608153714360849e-13 absolute error = 1.676657583796069e-13 relative error = 2447.537048081033 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 0 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = 0.01670464979286744 y[1] (numeric) = 0.01670464979269977 absolute error = 1.676679628470623e-13 relative error = 1.003720310967868e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = 0.03340929958572804 y[1] (numeric) = 0.03340929958556036 absolute error = 1.676783711879182e-13 relative error = 5.01891309506973e-10 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = 0.05011394937858864 y[1] (numeric) = 0.05011394937842095 absolute error = 1.676991878696299e-13 relative error = 3.346357450352535e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = 0.06681859917144925 y[1] (numeric) = 0.06681859917128155 absolute error = 1.676991878696299e-13 relative error = 2.509768087764487e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = 0.08352324896430985 y[1] (numeric) = 0.0835232489641422 absolute error = 1.676436767183986e-13 relative error = 2.007149851055652e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = 0.1002278987571704 y[1] (numeric) = 0.1002278987570029 absolute error = 1.675881655671674e-13 relative error = 1.672071026583084e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = 0.116932548550031 y[1] (numeric) = 0.1169325485498635 absolute error = 1.675326544159361e-13 relative error = 1.432729009102672e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = 0.1336371983428916 y[1] (numeric) = 0.1336371983427241 absolute error = 1.675604099915518e-13 relative error = 1.253845576451091e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = 0.1503418481357522 y[1] (numeric) = 0.1503418481355846 absolute error = 1.676436767183986e-13 relative error = 1.115083250586514e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = 0.1670464979286128 y[1] (numeric) = 0.1670464979284451 absolute error = 1.677269434452455e-13 relative error = 1.004073389894851e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = 0.1837511477214734 y[1] (numeric) = 0.1837511477213056 absolute error = 1.678102101720924e-13 relative error = 9.132471402380354e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = 0.2004557975143341 y[1] (numeric) = 0.2004557975141661 absolute error = 1.679212324745549e-13 relative error = 8.376970611815172e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = 0.2171604473071946 y[1] (numeric) = 0.2171604473070267 absolute error = 1.679767436257862e-13 relative error = 7.735144484583175e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = 0.2338650971000552 y[1] (numeric) = 0.2338650970998872 absolute error = 1.680600103526331e-13 relative error = 7.186194624019993e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = 0.2505697468929158 y[1] (numeric) = 0.2505697468927477 absolute error = 1.6814327707948e-13 relative error = 6.710438078198568e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = 0.2672743966857765 y[1] (numeric) = 0.2672743966856085 absolute error = 1.679767436257862e-13 relative error = 6.284804893723867e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = 0.283979046478637 y[1] (numeric) = 0.2839790464784693 absolute error = 1.677546990208612e-13 relative error = 5.90729143931684e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = 0.3006836962714977 y[1] (numeric) = 0.3006836962713301 absolute error = 1.675881655671674e-13 relative error = 5.573570088610533e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = 0.3173883460643582 y[1] (numeric) = 0.3173883460641909 absolute error = 1.673661209622423e-13 relative error = 5.273228303357578e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = 0.3340929958572189 y[1] (numeric) = 0.3340929958570517 absolute error = 1.671995875085486e-13 relative error = 5.004582244519863e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = 0.3507976456500794 y[1] (numeric) = 0.3507976456499124 absolute error = 1.669775429036235e-13 relative error = 4.75993909805722e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = 0.3675022954429401 y[1] (numeric) = 0.3675022954427732 absolute error = 1.668110094499298e-13 relative error = 4.539046735718404e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = 0.3842069452358006 y[1] (numeric) = 0.384206945235634 absolute error = 1.665889648450047e-13 relative error = 4.335917580635184e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = 0.4009115950286612 y[1] (numeric) = 0.4009115950284948 absolute error = 1.66422431391311e-13 relative error = 4.151100478383854e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = 0.4176162448215218 y[1] (numeric) = 0.4176162448213556 absolute error = 1.662003867863859e-13 relative error = 3.979739506000673e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = 0.4343208946143824 y[1] (numeric) = 0.4343208946142164 absolute error = 1.659783421814609e-13 relative error = 3.821560146877737e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = 0.451025544407243 y[1] (numeric) = 0.4510255444070772 absolute error = 1.658118087277671e-13 relative error = 3.676328553534237e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = 0.4677301942001036 y[1] (numeric) = 0.467730194199938 absolute error = 1.655897641228421e-13 relative error = 3.540283825508168e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = 0.4844348439929642 y[1] (numeric) = 0.4844348439927988 absolute error = 1.654232306691483e-13 relative error = 3.414767387614894e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = 0.5011394937858248 y[1] (numeric) = 0.5011394937856596 absolute error = 1.652011860642233e-13 relative error = 3.296511013654541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = 0.5178441435786854 y[1] (numeric) = 0.5178441435785198 absolute error = 1.655342529716108e-13 relative error = 3.19660374698161e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = 0.534548793371546 y[1] (numeric) = 0.5345487933713801 absolute error = 1.659783421814609e-13 relative error = 3.10501761933817e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = 0.5512534431644066 y[1] (numeric) = 0.5512534431642403 absolute error = 1.663114090888484e-13 relative error = 3.016968168655003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = 0.5679580929572672 y[1] (numeric) = 0.5679580929571005 absolute error = 1.66644475996236e-13 relative error = 2.934098097423787e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = 0.5846627427501279 y[1] (numeric) = 0.5846627427499608 absolute error = 1.670885652060861e-13 relative error = 2.857862370708579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = 0.6013673925429884 y[1] (numeric) = 0.601367392542821 absolute error = 1.674216321134736e-13 relative error = 2.784015797822054e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = 0.618072042335849 y[1] (numeric) = 0.6180720423356812 absolute error = 1.677546990208612e-13 relative error = 2.714160931578043e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = 0.6347766921287096 y[1] (numeric) = 0.6347766921285415 absolute error = 1.680877659282487e-13 relative error = 2.647982637241612e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = 0.6514813419215703 y[1] (numeric) = 0.6514813419214017 absolute error = 1.685318551380988e-13 relative error = 2.586902253271096e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = 0.6681859917144308 y[1] (numeric) = 0.668185991714262 absolute error = 1.688649220454863e-13 relative error = 2.52721434060916e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = 0.6848906415072914 y[1] (numeric) = 0.6848906415071222 absolute error = 1.691979889528739e-13 relative error = 2.470438033442928e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = 0.701595291300152 y[1] (numeric) = 0.7015952912999824 absolute error = 1.695310558602614e-13 relative error = 2.416365359951279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = 0.7182999410930127 y[1] (numeric) = 0.7182999410928427 absolute error = 1.699751450701115e-13 relative error = 2.366353320473145e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = 0.7350045908858732 y[1] (numeric) = 0.7350045908857029 absolute error = 1.70308211977499e-13 relative error = 2.317104057434974e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = 0.7517092406787338 y[1] (numeric) = 0.7517092406785632 absolute error = 1.706412788848866e-13 relative error = 2.270043650531833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = 0.7684138904715945 y[1] (numeric) = 0.7684138904714234 absolute error = 1.710853680947366e-13 relative error = 2.226474172528783e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = 0.785118540264455 y[1] (numeric) = 0.7851185402642836 absolute error = 1.714184350021242e-13 relative error = 2.183344631555695e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = 0.8018231900573156 y[1] (numeric) = 0.8018231900571439 absolute error = 1.717515019095117e-13 relative error = 2.142012154789819e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = 0.8185278398501762 y[1] (numeric) = 0.8185278398500041 absolute error = 1.720845688168993e-13 relative error = 2.102366717891938e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = 0.8352324896430368 y[1] (numeric) = 0.8352324896428643 absolute error = 1.724176357242868e-13 relative error = 2.064307098469972e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = 0.8519371394358973 y[1] (numeric) = 0.8519371394357246 absolute error = 1.727507026316744e-13 relative error = 2.027740013142985e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = 0.8686417892287579 y[1] (numeric) = 0.8686417892285848 absolute error = 1.730837695390619e-13 relative error = 1.992579354174729e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = 0.8853464390216186 y[1] (numeric) = 0.8853464390214451 absolute error = 1.73527858748912e-13 relative error = 1.959999510933536e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = 0.9020510888144792 y[1] (numeric) = 0.9020510888143053 absolute error = 1.738609256562995e-13 relative error = 1.927395552338352e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = 0.9187557386073397 y[1] (numeric) = 0.9187557386071655 absolute error = 1.741939925636871e-13 relative error = 1.895977192237539e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = 0.9354603884002003 y[1] (numeric) = 0.9354603884000258 absolute error = 1.745270594710746e-13 relative error = 1.865680916426041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = 0.952165038193061 y[1] (numeric) = 0.952165038192886 absolute error = 1.749711486809247e-13 relative error = 1.83761366635526e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = 0.9688696879859215 y[1] (numeric) = 0.9688696879857462 absolute error = 1.753042155883122e-13 relative error = 1.809368357397301e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = 0.9855743377787821 y[1] (numeric) = 0.9855743377786065 absolute error = 1.756372824956998e-13 relative error = 1.782080516539612e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = 1.002278987571643 y[1] (numeric) = 1.002278987571467 absolute error = 1.758593271006248e-13 relative error = 1.754594571783881e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = 1.018983637364503 y[1] (numeric) = 1.018983637364327 absolute error = 1.763034163104749e-13 relative error = 1.730188884744661e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = 1.035688287157364 y[1] (numeric) = 1.035688287157187 absolute error = 1.767475055203249e-13 relative error = 1.706570477932514e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = 1.052392936950225 y[1] (numeric) = 1.052392936950048 absolute error = 1.7696955012525e-13 relative error = 1.681591959730343e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = 1.069097586743085 y[1] (numeric) = 1.069097586742908 absolute error = 1.774136393351e-13 relative error = 1.659470955084424e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = 1.085802236535946 y[1] (numeric) = 1.085802236535768 absolute error = 1.77635683940025e-13 relative error = 1.635985614716906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = 1.102506886328806 y[1] (numeric) = 1.102506886328628 absolute error = 1.780797731498751e-13 relative error = 1.615225948772582e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = 1.119211536121667 y[1] (numeric) = 1.119211536121488 absolute error = 1.785238623597252e-13 relative error = 1.595085974348983e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = 1.135916185914527 y[1] (numeric) = 1.135916185914349 absolute error = 1.787459069646502e-13 relative error = 1.573583589890848e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = 1.152620835707388 y[1] (numeric) = 1.152620835707209 absolute error = 1.791899961745003e-13 relative error = 1.554630895289408e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = 1.169325485500249 y[1] (numeric) = 1.169325485500069 absolute error = 1.796340853843503e-13 relative error = 1.536219706248009e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = 1.186030135293109 y[1] (numeric) = 1.186030135292929 absolute error = 1.798561299892754e-13 relative error = 1.516454975613471e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = 1.20273478508597 y[1] (numeric) = 1.20273478508579 absolute error = 1.803002191991254e-13 relative error = 1.499085429596499e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = 1.219439434878831 y[1] (numeric) = 1.21943943487865 absolute error = 1.807443084089755e-13 relative error = 1.482191761552595e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = 1.236144084671691 y[1] (numeric) = 1.23614408467151 absolute error = 1.809663530139005e-13 relative error = 1.463958411142367e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = 1.252848734464552 y[1] (numeric) = 1.25284873446437 absolute error = 1.814104422237506e-13 relative error = 1.447983601159023e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = 1.269553384257412 y[1] (numeric) = 1.269553384257231 absolute error = 1.816324868286756e-13 relative error = 1.43068018313319e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = 1.286258034050273 y[1] (numeric) = 1.286258034050091 absolute error = 1.820765760385257e-13 relative error = 1.415552488058623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = 1.302962683843134 y[1] (numeric) = 1.302962683842951 absolute error = 1.825206652483757e-13 relative error = 1.400812682601352e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = 1.319667333635994 y[1] (numeric) = 1.319667333635811 absolute error = 1.827427098533008e-13 relative error = 1.384763456634193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = 1.336371983428855 y[1] (numeric) = 1.336371983428672 absolute error = 1.831867990631508e-13 relative error = 1.370777009206159e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = 1.353076633221715 y[1] (numeric) = 1.353076633221532 absolute error = 1.836308882730009e-13 relative error = 1.357135906159064e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = 1.369781283014576 y[1] (numeric) = 1.369781283014392 absolute error = 1.838529328779259e-13 relative error = 1.342206490610732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = 1.386485932807437 y[1] (numeric) = 1.386485932807252 absolute error = 1.84297022087776e-13 relative error = 1.329238311957488e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = 1.403190582600297 y[1] (numeric) = 1.403190582600113 absolute error = 1.84741111297626e-13 relative error = 1.316578899462655e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = 1.419895232393158 y[1] (numeric) = 1.419895232392973 absolute error = 1.849631559025511e-13 relative error = 1.302653545718338e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = 1.436599882186018 y[1] (numeric) = 1.436599882185833 absolute error = 1.854072451124011e-13 relative error = 1.290597663354073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = 1.453304531978879 y[1] (numeric) = 1.453304531978693 absolute error = 1.856292897173262e-13 relative error = 1.277291067582138e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = 1.47000918177174 y[1] (numeric) = 1.470009181771553 absolute error = 1.860733789271762e-13 relative error = 1.265797392523154e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = 1.4867138315646 y[1] (numeric) = 1.486713831564414 absolute error = 1.865174681370263e-13 relative error = 1.254562002296955e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = 1.503418481357461 y[1] (numeric) = 1.503418481357274 absolute error = 1.867395127419513e-13 relative error = 1.242099355951386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = 1.520123131150321 y[1] (numeric) = 1.520123131150134 absolute error = 1.871836019518014e-13 relative error = 1.231371315362816e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = 1.536827780943182 y[1] (numeric) = 1.536827780942994 absolute error = 1.876276911616515e-13 relative error = 1.22087649304791e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = 1.553532430736043 y[1] (numeric) = 1.553532430735855 absolute error = 1.878497357665765e-13 relative error = 1.20917807732907e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = 1.570237080528903 y[1] (numeric) = 1.570237080528715 absolute error = 1.882938249764265e-13 relative error = 1.199142647382926e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = 1.586941730321764 y[1] (numeric) = 1.586941730321575 absolute error = 1.887379141862766e-13 relative error = 1.189318489646174e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = 1.603646380114624 y[1] (numeric) = 1.603646380114435 absolute error = 1.889599587912016e-13 relative error = 1.178314378620649e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = 1.620351029907485 y[1] (numeric) = 1.620351029907296 absolute error = 1.894040480010517e-13 relative error = 1.168907505257462e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = 1.637055679700345 y[1] (numeric) = 1.637055679700156 absolute error = 1.896260926059767e-13 relative error = 1.15833624327724e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = 1.653760329493206 y[1] (numeric) = 1.653760329493016 absolute error = 1.900701818158268e-13 relative error = 1.149321207106677e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = 1.670464979286067 y[1] (numeric) = 1.670464979285876 absolute error = 1.905142710256769e-13 relative error = 1.140486471659525e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = 1.687169629078926 y[1] (numeric) = 1.687169629078737 absolute error = 1.889599587912016e-13 relative error = 1.11998198363943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = 1.703874278871784 y[1] (numeric) = 1.703874278871597 absolute error = 1.874056465567264e-13 relative error = 1.099879544404042e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = 1.720578928664643 y[1] (numeric) = 1.720578928664457 absolute error = 1.860733789271762e-13 relative error = 1.081457966427553e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = 1.737283578457502 y[1] (numeric) = 1.737283578457317 absolute error = 1.84519066692701e-13 relative error = 1.062112535804498e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = 1.75398822825036 y[1] (numeric) = 1.753988228250178 absolute error = 1.829647544582258e-13 relative error = 1.043135589574264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = 1.770692878043219 y[1] (numeric) = 1.770692878043038 absolute error = 1.814104422237506e-13 relative error = 1.024516698933279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = 1.787397527836078 y[1] (numeric) = 1.787397527835898 absolute error = 1.800781745942004e-13 relative error = 1.007488103736011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = 1.804102177628937 y[1] (numeric) = 1.804102177628758 absolute error = 1.785238623597252e-13 relative error = 9.895440766794724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = 1.820806827421795 y[1] (numeric) = 1.820806827421618 absolute error = 1.7696955012525e-13 relative error = 9.719292978258062e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = 1.837511477214654 y[1] (numeric) = 1.837511477214479 absolute error = 1.756372824956998e-13 relative error = 9.558431861439861e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = 1.854216127007513 y[1] (numeric) = 1.854216127007339 absolute error = 1.740829702612245e-13 relative error = 9.388494023195344e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = 1.870920776800372 y[1] (numeric) = 1.870920776800199 absolute error = 1.725286580267493e-13 relative error = 9.221590789205193e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = 1.88762542659323 y[1] (numeric) = 1.887625426593059 absolute error = 1.709743457922741e-13 relative error = 9.05764159475469e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = 1.904330076386089 y[1] (numeric) = 1.90433007638592 absolute error = 1.696420781627239e-13 relative error = 8.908228687153824e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = 1.921034726178948 y[1] (numeric) = 1.92103472617878 absolute error = 1.680877659282487e-13 relative error = 8.749855670885515e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = 1.937739375971807 y[1] (numeric) = 1.93773937597164 absolute error = 1.665334536937735e-13 relative error = 8.594213223863211e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = 1.954444025764666 y[1] (numeric) = 1.9544440257645 absolute error = 1.652011860642233e-13 relative error = 8.452592342704173e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = 1.971148675557524 y[1] (numeric) = 1.971148675557361 absolute error = 1.636468738297481e-13 relative error = 8.302107084005818e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = 1.987853325350383 y[1] (numeric) = 1.987853325350221 absolute error = 1.620925615952729e-13 relative error = 8.154150989319199e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = 2.004557975143242 y[1] (numeric) = 2.004557975143081 absolute error = 1.607602939657227e-13 relative error = 8.019737815477002e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = 2.0212626249361 y[1] (numeric) = 2.021262624935941 absolute error = 1.589839371263224e-13 relative error = 7.865575465798191e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = 2.037967274728959 y[1] (numeric) = 2.037967274728802 absolute error = 1.576516694967722e-13 relative error = 7.73573115975276e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = 2.054671924521818 y[1] (numeric) = 2.054671924521662 absolute error = 1.56319401867222e-13 relative error = 7.607998143236522e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = 2.071376574314677 y[1] (numeric) = 2.071376574314522 absolute error = 1.545430450278218e-13 relative error = 7.460886009051878e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = 2.088081224107535 y[1] (numeric) = 2.088081224107382 absolute error = 1.532107773982716e-13 relative error = 7.337395482005508e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = 2.104785873900394 y[1] (numeric) = 2.104785873900243 absolute error = 1.518785097687214e-13 relative error = 7.215865122055111e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = 2.121490523693253 y[1] (numeric) = 2.121490523693103 absolute error = 1.501021529293212e-13 relative error = 7.07531573923846e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = 2.138195173486112 y[1] (numeric) = 2.138195173485963 absolute error = 1.48769885299771e-13 relative error = 6.957731789152656e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = 2.154899823278971 y[1] (numeric) = 2.154899823278823 absolute error = 1.474376176702208e-13 relative error = 6.841970846044925e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = 2.171604473071829 y[1] (numeric) = 2.171604473071683 absolute error = 1.456612608308205e-13 relative error = 6.707541020339507e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = 2.188309122864688 y[1] (numeric) = 2.188309122864544 absolute error = 1.443289932012704e-13 relative error = 6.595457273071689e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = 2.205013772657547 y[1] (numeric) = 2.205013772657404 absolute error = 1.425526363618701e-13 relative error = 6.46493178997524e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = 2.221718422450405 y[1] (numeric) = 2.221718422450264 absolute error = 1.412203687323199e-13 relative error = 6.35635764214276e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = 2.238423072243264 y[1] (numeric) = 2.238423072243124 absolute error = 1.398881011027697e-13 relative error = 6.249404003979421e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = 2.255127722036123 y[1] (numeric) = 2.255127722035985 absolute error = 1.381117442633695e-13 relative error = 6.124342444722836e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = 2.271832371828982 y[1] (numeric) = 2.271832371828845 absolute error = 1.367794766338193e-13 relative error = 6.020667648278221e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = 2.288537021621841 y[1] (numeric) = 2.288537021621705 absolute error = 1.354472090042691e-13 relative error = 5.91850635251163e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = 2.305241671414699 y[1] (numeric) = 2.305241671414565 absolute error = 1.336708521648688e-13 relative error = 5.798561331872708e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = 2.321946321207558 y[1] (numeric) = 2.321946321207426 absolute error = 1.323385845353187e-13 relative error = 5.699467869976179e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = 2.338650971000417 y[1] (numeric) = 2.338650971000286 absolute error = 1.310063169057685e-13 relative error = 5.601790028963887e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = 2.355355620793275 y[1] (numeric) = 2.355355620793146 absolute error = 1.292299600663682e-13 relative error = 5.486643245101308e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = 2.372060270586134 y[1] (numeric) = 2.372060270586006 absolute error = 1.27897692436818e-13 relative error = 5.391839913292532e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = 2.388764920378993 y[1] (numeric) = 2.388764920378867 absolute error = 1.261213355974178e-13 relative error = 5.279771756586573e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = 2.405469570171852 y[1] (numeric) = 2.405469570171727 absolute error = 1.247890679678676e-13 relative error = 5.187721745278716e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = 2.42217421996471 y[1] (numeric) = 2.422174219964587 absolute error = 1.234568003383174e-13 relative error = 5.096941389299243e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = 2.438878869757569 y[1] (numeric) = 2.438878869757447 absolute error = 1.216804434989172e-13 relative error = 4.989195855840619e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = 2.455583519550428 y[1] (numeric) = 2.455583519550308 absolute error = 1.20348175869367e-13 relative error = 4.901001122999902e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = 2.472288169343287 y[1] (numeric) = 2.472288169343168 absolute error = 1.190159082398168e-13 relative error = 4.813998210873247e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = 2.488992819136145 y[1] (numeric) = 2.488992819136028 absolute error = 1.172395514004165e-13 relative error = 4.710320998077723e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = 2.505697468929004 y[1] (numeric) = 2.505697468928888 absolute error = 1.159072837708663e-13 relative error = 4.625749325612239e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = 2.522402118721863 y[1] (numeric) = 2.522402118721748 absolute error = 1.145750161413162e-13 relative error = 4.542297807748946e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = 2.539106768514722 y[1] (numeric) = 2.539106768514609 absolute error = 1.127986593019159e-13 relative error = 4.442454358384415e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = 2.55581141830758 y[1] (numeric) = 2.555811418307469 absolute error = 1.114663916723657e-13 relative error = 4.361291716357425e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = 2.572516068100439 y[1] (numeric) = 2.572516068100329 absolute error = 1.101341240428155e-13 relative error = 4.2811831346165e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = 2.589220717893298 y[1] (numeric) = 2.589220717893189 absolute error = 1.083577672034153e-13 relative error = 4.18495674990504e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = 2.605925367686157 y[1] (numeric) = 2.60592536768605 absolute error = 1.070254995738651e-13 relative error = 4.107005553612411e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = 2.622630017479015 y[1] (numeric) = 2.62263001747891 absolute error = 1.052491427344648e-13 relative error = 4.013114394062905e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = 2.639334667271874 y[1] (numeric) = 2.63933466727177 absolute error = 1.039168751049147e-13 relative error = 3.937237531621083e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = 2.656039317064733 y[1] (numeric) = 2.65603931706463 absolute error = 1.025846074753645e-13 relative error = 3.862315095121925e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = 2.672743966857591 y[1] (numeric) = 2.672743966857491 absolute error = 1.008082506359642e-13 relative error = 3.771713710179537e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = 2.68944861665045 y[1] (numeric) = 2.689448616650351 absolute error = 9.947598300641403e-14 relative error = 3.698750085447087e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = 2.706153266443309 y[1] (numeric) = 2.706153266443211 absolute error = 9.814371537686384e-14 relative error = 3.62668724620516e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = 2.722857916236168 y[1] (numeric) = 2.722857916236071 absolute error = 9.636735853746359e-14 relative error = 3.539198941040343e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = 2.739562566029027 y[1] (numeric) = 2.739562566028932 absolute error = 9.50350909079134e-14 relative error = 3.46898778974287e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = 2.756267215821885 y[1] (numeric) = 2.756267215821792 absolute error = 9.370282327836321e-14 relative error = 3.39962768270355e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = 2.772971865614744 y[1] (numeric) = 2.772971865614652 absolute error = 9.192646643896296e-14 relative error = 3.315088320183287e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = 2.789676515407603 y[1] (numeric) = 2.789676515407512 absolute error = 9.059419880941277e-14 relative error = 3.247480426818446e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = 2.806381165200462 y[1] (numeric) = 2.806381165200373 absolute error = 8.926193117986259e-14 relative error = 3.180677389326996e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = 2.82308581499332 y[1] (numeric) = 2.823085814993233 absolute error = 8.748557434046234e-14 relative error = 3.09893428941583e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = 2.839790464786179 y[1] (numeric) = 2.839790464786093 absolute error = 8.615330671091215e-14 relative error = 3.033790970820765e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = 2.856495114579038 y[1] (numeric) = 2.856495114578953 absolute error = 8.43769498715119e-14 relative error = 2.953862915461228e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = 2.873199764371897 y[1] (numeric) = 2.873199764371813 absolute error = 8.304468224196171e-14 relative error = 2.890320515535609e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = 2.889904414164755 y[1] (numeric) = 2.889904414164674 absolute error = 8.171241461241152e-14 relative error = 2.827512709828784e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = 2.906609063957614 y[1] (numeric) = 2.906609063957534 absolute error = 7.993605777301127e-14 relative error = 2.750148231636319e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = 2.923313713750473 y[1] (numeric) = 2.923313713750394 absolute error = 7.860379014346108e-14 relative error = 2.68885921390271e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = 2.940018363543332 y[1] (numeric) = 2.940018363543254 absolute error = 7.72715225139109e-14 relative error = 2.628266662279711e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = 2.95672301333619 y[1] (numeric) = 2.956723013336115 absolute error = 7.549516567451064e-14 relative error = 2.553339130313948e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = 2.973427663129049 y[1] (numeric) = 2.973427663128975 absolute error = 7.416289804496046e-14 relative error = 2.494188742661931e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = 2.990132312921908 y[1] (numeric) = 2.990132312921835 absolute error = 7.283063041541027e-14 relative error = 2.435699253195969e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = 3.006836962714766 y[1] (numeric) = 3.006836962714695 absolute error = 7.105427357601002e-14 relative error = 2.36309033236899e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = 3.023541612507625 y[1] (numeric) = 3.023541612507556 absolute error = 6.972200594645983e-14 relative error = 2.305971436213663e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = 3.040246262300484 y[1] (numeric) = 3.040246262300416 absolute error = 6.838973831690964e-14 relative error = 2.249480220235867e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = 3.056950912093343 y[1] (numeric) = 3.056950912093276 absolute error = 6.661338147750939e-14 relative error = 2.179079199930424e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = 3.073655561886202 y[1] (numeric) = 3.073655561886136 absolute error = 6.52811138479592e-14 relative error = 2.123891650627838e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = 3.09036021167906 y[1] (numeric) = 3.090360211678997 absolute error = 6.350475700855895e-14 relative error = 2.054930579566821e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = 3.107064861471919 y[1] (numeric) = 3.107064861471857 absolute error = 6.217248937900877e-14 relative error = 2.001003910473745e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = 3.123769511264778 y[1] (numeric) = 3.123769511264717 absolute error = 6.084022174945858e-14 relative error = 1.947653997199847e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = 3.140474161057636 y[1] (numeric) = 3.140474161057577 absolute error = 5.906386491005833e-14 relative error = 1.880730803088889e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = 3.157178810850495 y[1] (numeric) = 3.157178810850438 absolute error = 5.773159728050814e-14 relative error = 1.828581804809343e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = 3.173883460643354 y[1] (numeric) = 3.173883460643298 absolute error = 5.639932965095795e-14 relative error = 1.776981743353792e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = 3.190588110436213 y[1] (numeric) = 3.190588110436158 absolute error = 5.46229728115577e-14 relative error = 1.712003270898221e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = 3.207292760229072 y[1] (numeric) = 3.207292760229018 absolute error = 5.329070518200751e-14 relative error = 1.661547889946953e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = 3.22399741002193 y[1] (numeric) = 3.223997410021878 absolute error = 5.195843755245733e-14 relative error = 1.611615362684299e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = 3.240702059814789 y[1] (numeric) = 3.240702059814739 absolute error = 5.018208071305708e-14 relative error = 1.5484941159918e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 3.257406709607648 y[1] (numeric) = 3.257406709607599 absolute error = 4.884981308350689e-14 relative error = 1.499653480157251e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 3.274111359400507 y[1] (numeric) = 3.274111359400459 absolute error = 4.75175454539567e-14 relative error = 1.451311218157748e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = 3.290816009193365 y[1] (numeric) = 3.290816009193319 absolute error = 4.574118861455645e-14 relative error = 1.389964935346488e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = 3.307520658986224 y[1] (numeric) = 3.30752065898618 absolute error = 4.440892098500626e-14 relative error = 1.342664961573297e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 3.324225308779083 y[1] (numeric) = 3.32422530877904 absolute error = 4.263256414560601e-14 relative error = 1.282481185406294e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 3.340929958571941 y[1] (numeric) = 3.3409299585719 absolute error = 4.130029651605582e-14 relative error = 1.236191630120536e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 3.3576346083648 y[1] (numeric) = 3.35763460836476 absolute error = 3.996802888650564e-14 relative error = 1.190362667424686e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 3.374339258157659 y[1] (numeric) = 3.374339258157621 absolute error = 3.819167204710538e-14 relative error = 1.131826681468819e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 3.391043907950518 y[1] (numeric) = 3.391043907950481 absolute error = 3.68594044175552e-14 relative error = 1.086963348694365e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 3.407748557743377 y[1] (numeric) = 3.407748557743341 absolute error = 3.552713678800501e-14 relative error = 1.042539852515739e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 3.424453207536235 y[1] (numeric) = 3.424453207536201 absolute error = 3.375077994860476e-14 relative error = 9.855815776465864e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = 3.441157857329094 y[1] (numeric) = 3.441157857329062 absolute error = 3.241851231905457e-14 relative error = 9.420815220670139e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = 3.457862507121953 y[1] (numeric) = 3.457862507121922 absolute error = 3.108624468950438e-14 relative error = 8.990017568795144e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = 3.474567156914811 y[1] (numeric) = 3.474567156914782 absolute error = 2.930988785010413e-14 relative error = 8.435550825884568e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = 3.49127180670767 y[1] (numeric) = 3.491271806707642 absolute error = 2.797762022055394e-14 relative error = 8.013589823284864e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = 3.507976456500529 y[1] (numeric) = 3.507976456500502 absolute error = 2.664535259100376e-14 relative error = 7.595647496900394e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = 3.524681106293388 y[1] (numeric) = 3.524681106293363 absolute error = 2.486899575160351e-14 relative error = 7.055672556362453e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = 3.541385756086247 y[1] (numeric) = 3.541385756086223 absolute error = 2.353672812205332e-14 relative error = 6.646191559787848e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = 3.558090405879105 y[1] (numeric) = 3.558090405879083 absolute error = 2.176037128265307e-14 relative error = 6.115744346095862e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = 3.574795055671964 y[1] (numeric) = 3.574795055671943 absolute error = 2.042810365310288e-14 relative error = 5.71448246262133e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = 3.591499705464823 y[1] (numeric) = 3.591499705464804 absolute error = 1.909583602355269e-14 relative error = 5.316953247830282e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = 3.608204355257681 y[1] (numeric) = 3.608204355257664 absolute error = 1.731947918415244e-14 relative error = 4.800027237624562e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = 3.62490900505054 y[1] (numeric) = 3.624909005050524 absolute error = 1.598721155460225e-14 relative error = 4.410375965942172e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = 3.641613654843399 y[1] (numeric) = 3.641613654843384 absolute error = 1.465494392505207e-14 relative error = 4.024299476568795e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = 3.658318304636258 y[1] (numeric) = 3.658318304636245 absolute error = 1.287858708565182e-14 relative error = 3.520357173220967e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = 3.675022954429116 y[1] (numeric) = 3.675022954429105 absolute error = 1.154631945610163e-14 relative error = 3.141836010081535e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = 3.691727604221975 y[1] (numeric) = 3.691727604221965 absolute error = 1.021405182655144e-14 relative error = 2.766740377830241e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = 3.708432254014834 y[1] (numeric) = 3.708432254014825 absolute error = 8.43769498715119e-15 relative error = 2.275272786233683e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = 3.725136903807693 y[1] (numeric) = 3.725136903807686 absolute error = 7.105427357601002e-15 relative error = 1.907427174109522e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = 3.741841553600552 y[1] (numeric) = 3.741841553600546 absolute error = 5.773159728050814e-15 relative error = 1.542865897807898e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = 3.75854620339341 y[1] (numeric) = 3.758546203393406 absolute error = 3.996802888650564e-15 relative error = 1.063390649566059e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = 3.775250853186269 y[1] (numeric) = 3.775250853186266 absolute error = 2.664535259100376e-15 relative error = 7.057902541367651e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = 3.791955502979127 y[1] (numeric) = 3.791955502979127 absolute error = 8.881784197001252e-16 relative error = 2.342270153229206e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = 3.808660152771986 y[1] (numeric) = 3.808660152771987 absolute error = 4.440892098500626e-16 relative error = 1.16599851926103e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = 3.825364802564845 y[1] (numeric) = 3.825364802564847 absolute error = 1.77635683940025e-15 relative error = 4.643627290681484e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = 3.842069452357704 y[1] (numeric) = 3.842069452357707 absolute error = 3.552713678800501e-15 relative error = 9.246875213617916e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = 3.858774102150563 y[1] (numeric) = 3.858774102150567 absolute error = 4.884981308350689e-15 relative error = 1.265941249483405e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = 3.875478751943422 y[1] (numeric) = 3.875478751943428 absolute error = 6.217248937900877e-15 relative error = 1.604253135121212e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = 3.89218340173628 y[1] (numeric) = 3.892183401736288 absolute error = 7.993605777301127e-15 relative error = 2.053758765256341e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = 3.908888051529139 y[1] (numeric) = 3.908888051529148 absolute error = 9.325873406851315e-15 relative error = 2.38581235479565e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = 3.925592701321998 y[1] (numeric) = 3.925592701322008 absolute error = 1.06581410364015e-14 relative error = 2.71503995633888e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = 3.942297351114856 y[1] (numeric) = 3.942297351114869 absolute error = 1.243449787580175e-14 relative error = 3.154124808034928e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = 3.959002000907715 y[1] (numeric) = 3.959002000907729 absolute error = 1.376676550535194e-14 relative error = 3.477332292884801e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = 3.975706650700574 y[1] (numeric) = 3.975706650700589 absolute error = 1.509903313490213e-14 relative error = 3.797823748450221e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = 3.992411300493433 y[1] (numeric) = 3.992411300493449 absolute error = 1.687538997430238e-14 relative error = 4.226866598693553e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = 4.009115950286291 y[1] (numeric) = 4.00911595028631 absolute error = 1.865174681370263e-14 relative error = 4.652334091851523e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = 4.02582060007915 y[1] (numeric) = 4.02582060007917 absolute error = 1.953992523340276e-14 relative error = 4.853650267728916e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = 4.042525249872009 y[1] (numeric) = 4.04252524987203 absolute error = 2.131628207280301e-14 relative error = 5.273011485451551e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = 4.059229899664867 y[1] (numeric) = 4.05922989966489 absolute error = 2.309263891220326e-14 relative error = 5.688921170518034e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = 4.075934549457727 y[1] (numeric) = 4.075934549457751 absolute error = 2.398081733190338e-14 relative error = 5.883513839812235e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = 4.092639199250585 y[1] (numeric) = 4.092639199250611 absolute error = 2.575717417130363e-14 relative error = 6.293536497431804e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = 4.109343849043444 y[1] (numeric) = 4.109343849043471 absolute error = 2.753353101070388e-14 relative error = 6.700225637509751e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = 4.126048498836303 y[1] (numeric) = 4.126048498836331 absolute error = 2.842170943040401e-14 relative error = 6.888360483019037e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = 4.142753148629161 y[1] (numeric) = 4.142753148629192 absolute error = 3.019806626980426e-14 relative error = 7.289371388154472e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = 4.15945779842202 y[1] (numeric) = 4.159457798422052 absolute error = 3.197442310920451e-14 relative error = 7.687161322164321e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = 4.176162448214879 y[1] (numeric) = 4.176162448214912 absolute error = 3.286260152890463e-14 relative error = 7.869090806788876e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = 4.192867098007738 y[1] (numeric) = 4.192867098007772 absolute error = 3.463895836830488e-14 relative error = 8.261401460772216e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = 4.209571747800596 y[1] (numeric) = 4.209571747800632 absolute error = 3.641531520770513e-14 relative error = 8.65059853813664e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = 4.226276397593455 y[1] (numeric) = 4.226276397593493 absolute error = 3.730349362740526e-14 relative error = 8.826562703908049e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = 4.242981047386314 y[1] (numeric) = 4.242981047386353 absolute error = 3.907985046680551e-14 relative error = 9.210470193091903e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = 4.259685697179172 y[1] (numeric) = 4.259685697179213 absolute error = 4.085620730620576e-14 relative error = 9.591366643144905e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = 4.276390346972032 y[1] (numeric) = 4.276390346972073 absolute error = 4.174438572590589e-14 relative error = 9.761593853438493e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = 4.29309499676489 y[1] (numeric) = 4.293094996764934 absolute error = 4.352074256530614e-14 relative error = 1.013738167874265e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = 4.309799646557749 y[1] (numeric) = 4.309799646557794 absolute error = 4.529709940470639e-14 relative error = 1.051025642012972e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = 4.326504296350607 y[1] (numeric) = 4.326504296350654 absolute error = 4.707345624410664e-14 relative error = 1.088025181988446e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = 4.343208946143466 y[1] (numeric) = 4.343208946143514 absolute error = 4.796163466380676e-14 relative error = 1.104290289933992e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = 4.359913595936325 y[1] (numeric) = 4.359913595936375 absolute error = 4.973799150320701e-14 relative error = 1.140802229419535e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = 4.376618245729183 y[1] (numeric) = 4.376618245729235 absolute error = 5.151434834260726e-14 relative error = 1.177035451809769e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = 4.393322895522043 y[1] (numeric) = 4.393322895522095 absolute error = 5.240252676230739e-14 relative error = 1.192776584114029e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = 4.410027545314901 y[1] (numeric) = 4.410027545314955 absolute error = 5.417888360170764e-14 relative error = 1.228538439839585e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = 4.42673219510776 y[1] (numeric) = 4.426732195107816 absolute error = 5.595524044110789e-14 relative error = 1.264030394767212e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = 4.443436844900619 y[1] (numeric) = 4.443436844900676 absolute error = 5.684341886080801e-14 relative error = 1.279266946846397e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = 4.460141494693477 y[1] (numeric) = 4.460141494693536 absolute error = 5.861977570020827e-14 relative error = 1.314303050025477e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = 4.476846144486336 y[1] (numeric) = 4.476846144486396 absolute error = 6.039613253960852e-14 relative error = 1.349077689747997e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = 4.493550794279195 y[1] (numeric) = 4.493550794279257 absolute error = 6.128431095930864e-14 relative error = 1.363828156506667e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = 4.510255444072054 y[1] (numeric) = 4.510255444072117 absolute error = 6.306066779870889e-14 relative error = 1.398161779985015e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = 4.526960093864912 y[1] (numeric) = 4.526960093864977 absolute error = 6.483702463810914e-14 relative error = 1.432242018788247e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = 4.543664743657772 y[1] (numeric) = 4.543664743657837 absolute error = 6.572520305780927e-14 relative error = 1.446524045365608e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = 4.56036939345063 y[1] (numeric) = 4.560369393450697 absolute error = 6.750155989720952e-14 relative error = 1.480177460934454e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = 4.577074043243488 y[1] (numeric) = 4.577074043243558 absolute error = 6.927791673660977e-14 relative error = 1.513585231134186e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = 4.593778693036348 y[1] (numeric) = 4.593778693036418 absolute error = 7.016609515630989e-14 relative error = 1.527415660285808e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = 4.610483342829206 y[1] (numeric) = 4.610483342829278 absolute error = 7.194245199571014e-14 relative error = 1.560410192298036e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = 4.627187992622065 y[1] (numeric) = 4.627187992622138 absolute error = 7.371880883511039e-14 relative error = 1.593166496642306e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = 4.643892642414924 y[1] (numeric) = 4.643892642414999 absolute error = 7.460698725481052e-14 relative error = 1.606561413013486e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = 4.660597292207783 y[1] (numeric) = 4.660597292207859 absolute error = 7.638334409421077e-14 relative error = 1.63891748857853e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = 4.677301942000641 y[1] (numeric) = 4.677301942000719 absolute error = 7.815970093361102e-14 relative error = 1.67104244931811e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = 4.6940065917935 y[1] (numeric) = 4.694006591793579 absolute error = 7.904787935331115e-14 relative error = 1.684017220843064e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = 4.710711241586359 y[1] (numeric) = 4.71071124158644 absolute error = 8.08242361927114e-14 relative error = 1.715754416853056e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = 4.727415891379217 y[1] (numeric) = 4.7274158913793 absolute error = 8.260059303211165e-14 relative error = 1.747267321725168e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = 4.744120541172077 y[1] (numeric) = 4.74412054117216 absolute error = 8.348877145181177e-14 relative error = 1.759836638366384e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = 4.760825190964935 y[1] (numeric) = 4.76082519096502 absolute error = 8.526512829121202e-14 relative error = 1.790973725584961e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = 4.777529840757794 y[1] (numeric) = 4.777529840757881 absolute error = 8.704148513061227e-14 relative error = 1.821893070934876e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = 4.794234490550652 y[1] (numeric) = 4.794234490550741 absolute error = 8.881784197001252e-14 relative error = 1.852596950463538e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = 4.810939140343511 y[1] (numeric) = 4.810939140343601 absolute error = 8.970602038971265e-14 relative error = 1.864625965384951e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = 4.82764379013637 y[1] (numeric) = 4.827643790136461 absolute error = 9.14823772291129e-14 relative error = 1.89496949663158e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = 4.844348439929228 y[1] (numeric) = 4.844348439929322 absolute error = 9.325873406851315e-14 relative error = 1.925103762145474e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = 4.861053089722088 y[1] (numeric) = 4.861053089722182 absolute error = 9.414691248821327e-14 relative error = 1.936759602302467e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = 4.877757739514946 y[1] (numeric) = 4.877757739515042 absolute error = 9.592326932761353e-14 relative error = 1.966544351937256e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = 4.894462389307805 y[1] (numeric) = 4.894462389307902 absolute error = 9.769962616701378e-14 relative error = 1.996125792700817e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = 4.911167039100664 y[1] (numeric) = 4.911167039100762 absolute error = 9.85878045867139e-14 relative error = 2.00742112418085e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = 4.927871688893522 y[1] (numeric) = 4.927871688893623 absolute error = 1.003641614261142e-13 relative error = 2.036663447474002e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = 4.944576338686381 y[1] (numeric) = 4.944576338686483 absolute error = 1.021405182655144e-13 relative error = 2.065708187501661e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = 4.96128098847924 y[1] (numeric) = 4.961280988479343 absolute error = 1.030286966852145e-13 relative error = 2.07665514056674e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = 4.977985638272099 y[1] (numeric) = 4.977985638272203 absolute error = 1.048050535246148e-13 relative error = 2.105370749140882e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = 4.994690288064957 y[1] (numeric) = 4.994690288065064 absolute error = 1.06581410364015e-13 relative error = 2.133894280065698e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = 5.011394937857816 y[1] (numeric) = 5.011394937857924 absolute error = 1.074695887837152e-13 relative error = 2.144504476624913e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = 5.028099587650675 y[1] (numeric) = 5.028099587650784 absolute error = 1.092459456231154e-13 relative error = 2.172708470043637e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = 5.044804237443533 y[1] (numeric) = 5.044804237443644 absolute error = 1.110223024625157e-13 relative error = 2.200725682048992e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = 5.061508887236393 y[1] (numeric) = 5.061508887236505 absolute error = 1.119104808822158e-13 relative error = 2.211010261474013e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = 5.078213537029251 y[1] (numeric) = 5.078213537029365 absolute error = 1.13686837721616e-13 relative error = 2.238717156981207e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = 5.09491818682211 y[1] (numeric) = 5.094918186822225 absolute error = 1.154631945610163e-13 relative error = 2.266242367927697e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = 5.111622836614969 y[1] (numeric) = 5.111622836615085 absolute error = 1.163513729807164e-13 relative error = 2.276212011326072e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = 5.128327486407827 y[1] (numeric) = 5.128327486407946 absolute error = 1.181277298201167e-13 relative error = 2.303435771861365e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = 5.145032136200686 y[1] (numeric) = 5.145032136200806 absolute error = 1.199040866595169e-13 relative error = 2.330482754730843e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = 5.161736785993545 y[1] (numeric) = 5.161736785993666 absolute error = 1.20792265079217e-13 relative error = 2.340147707782945e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = 5.178441435786404 y[1] (numeric) = 5.178441435786526 absolute error = 1.225686219186173e-13 relative error = 2.366901768389003e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = 5.195146085579262 y[1] (numeric) = 5.195146085579387 absolute error = 1.243449787580175e-13 relative error = 2.393483777158366e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = 5.211850735372122 y[1] (numeric) = 5.211850735372247 absolute error = 1.252331571777177e-13 relative error = 2.402853871615648e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = 5.22855538516498 y[1] (numeric) = 5.228555385165107 absolute error = 1.270095140171179e-13 relative error = 2.429151164344227e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = 5.245260034957838 y[1] (numeric) = 5.245260034957967 absolute error = 1.287858708565182e-13 relative error = 2.455280958393006e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = 5.261964684750697 y[1] (numeric) = 5.261964684750827 absolute error = 1.305622276959184e-13 relative error = 2.481244848987508e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = 5.278669334543556 y[1] (numeric) = 5.278669334543688 absolute error = 1.314504061156185e-13 relative error = 2.490218609743339e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = 5.295373984336415 y[1] (numeric) = 5.295373984336548 absolute error = 1.332267629550188e-13 relative error = 2.515908476891344e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = 5.312078634129273 y[1] (numeric) = 5.312078634129408 absolute error = 1.35003119794419e-13 relative error = 2.541436772547852e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = 5.328783283922133 y[1] (numeric) = 5.328783283922268 absolute error = 1.358912982141192e-13 relative error = 2.550137451153754e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = 5.345487933714991 y[1] (numeric) = 5.345487933715129 absolute error = 1.376676550535194e-13 relative error = 2.575399229417838e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = 5.362192583507849 y[1] (numeric) = 5.362192583507989 absolute error = 1.394440118929197e-13 relative error = 2.600503613424826e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = 5.378897233300709 y[1] (numeric) = 5.378897233300849 absolute error = 1.403321903126198e-13 relative error = 2.608939792413663e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = 5.395601883093567 y[1] (numeric) = 5.395601883093709 absolute error = 1.4210854715202e-13 relative error = 2.633784890566131e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = 5.412306532886426 y[1] (numeric) = 5.41230653288657 absolute error = 1.438849039914203e-13 relative error = 2.658476623915189e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = 5.429011182679285 y[1] (numeric) = 5.42901118267943 absolute error = 1.447730824111204e-13 relative error = 2.666656551988775e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = 5.445715832472144 y[1] (numeric) = 5.44571583247229 absolute error = 1.465494392505207e-13 relative error = 2.691095968993904e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = 5.462420482265002 y[1] (numeric) = 5.46242048226515 absolute error = 1.483257960899209e-13 relative error = 2.715385909442426e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = 5.479125132057861 y[1] (numeric) = 5.479125132058011 absolute error = 1.49213974509621e-13 relative error = 2.723317517181414e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = 5.49582978185072 y[1] (numeric) = 5.495829781850871 absolute error = 1.509903313490213e-13 relative error = 2.747361860581048e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = 5.512534431643578 y[1] (numeric) = 5.512534431643731 absolute error = 1.527666881884215e-13 relative error = 2.77126048068735e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = 5.529239081436438 y[1] (numeric) = 5.529239081436591 absolute error = 1.536548666081217e-13 relative error = 2.77895139539171e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = 5.545943731229296 y[1] (numeric) = 5.545943731229452 absolute error = 1.554312234475219e-13 relative error = 2.802610898705774e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = 5.562648381022155 y[1] (numeric) = 5.562648381022312 absolute error = 1.572075802869222e-13 relative error = 2.826128302900834e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = 5.579353030815014 y[1] (numeric) = 5.579353030815172 absolute error = 1.580957587066223e-13 relative error = 2.833585862616193e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = 5.596057680607872 y[1] (numeric) = 5.596057680608032 absolute error = 1.598721155460225e-13 relative error = 2.856870401819311e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = 5.612762330400731 y[1] (numeric) = 5.612762330400892 absolute error = 1.616484723854228e-13 relative error = 2.880016342574792e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = 5.62946698019359 y[1] (numeric) = 5.629466980193753 absolute error = 1.625366508051229e-13 relative error = 2.887247609355966e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = 5.646171629986449 y[1] (numeric) = 5.646171629986613 absolute error = 1.643130076445232e-13 relative error = 2.910166718487046e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = 5.662876279779307 y[1] (numeric) = 5.662876279779473 absolute error = 1.660893644839234e-13 relative error = 2.932950611635051e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = 5.679580929572166 y[1] (numeric) = 5.679580929572333 absolute error = 1.669775429036235e-13 relative error = 2.939962384094449e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = 5.696285579365025 y[1] (numeric) = 5.696285579365194 absolute error = 1.687538997430238e-13 relative error = 2.962525270052122e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = 5.712990229157883 y[1] (numeric) = 5.712990229158054 absolute error = 1.70530256582424e-13 relative error = 2.984956209308288e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = 5.729694878950742 y[1] (numeric) = 5.729694878950914 absolute error = 1.723066134218243e-13 relative error = 3.00725635591573e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = 5.746399528743601 y[1] (numeric) = 5.746399528743774 absolute error = 1.731947918415244e-13 relative error = 3.013970591066645e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = 5.76310417853646 y[1] (numeric) = 5.763104178536635 absolute error = 1.749711486809247e-13 relative error = 3.0360573618046e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = 5.779808828329318 y[1] (numeric) = 5.779808828329495 absolute error = 1.767475055203249e-13 relative error = 3.058016463347537e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = 5.796513478122177 y[1] (numeric) = 5.796513478122355 absolute error = 1.77635683940025e-13 relative error = 3.064526367625585e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = 5.813218127915036 y[1] (numeric) = 5.813218127915215 absolute error = 1.794120407794253e-13 relative error = 3.086277459947526e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = 5.829922777707894 y[1] (numeric) = 5.829922777708076 absolute error = 1.811883976188255e-13 relative error = 3.107903904175931e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = 5.846627427500754 y[1] (numeric) = 5.846627427500936 absolute error = 1.820765760385257e-13 relative error = 3.11421547372923e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = 5.863332077293612 y[1] (numeric) = 5.863332077293796 absolute error = 1.838529328779259e-13 relative error = 3.135639094874334e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = 5.880036727086471 y[1] (numeric) = 5.880036727086656 absolute error = 1.856292897173262e-13 relative error = 3.156940990899296e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = 5.89674137687933 y[1] (numeric) = 5.896741376879516 absolute error = 1.865174681370263e-13 relative error = 3.163060005791452e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = 5.913446026672188 y[1] (numeric) = 5.913446026672377 absolute error = 1.882938249764265e-13 relative error = 3.184164091921027e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = 5.930150676465047 y[1] (numeric) = 5.930150676465237 absolute error = 1.900701818158268e-13 relative error = 3.205149281790717e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = 5.946855326257906 y[1] (numeric) = 5.946855326258097 absolute error = 1.909583602355269e-13 relative error = 3.211081315403188e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = 5.963559976050765 y[1] (numeric) = 5.963559976050957 absolute error = 1.927347170749272e-13 relative error = 3.231873542798868e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 5.980264625843623 y[1] (numeric) = 5.980264625843818 absolute error = 1.945110739143274e-13 relative error = 3.2525496124996e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 5.996969275636483 y[1] (numeric) = 5.996969275636678 absolute error = 1.953992523340276e-13 relative error = 3.258300040453168e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 6.013673925429341 y[1] (numeric) = 6.013673925429538 absolute error = 1.971756091734278e-13 relative error = 3.278787836162078e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 6.030378575222199 y[1] (numeric) = 6.030378575222398 absolute error = 1.989519660128281e-13 relative error = 3.299162126077588e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = 6.047083225015059 y[1] (numeric) = 6.047083225015259 absolute error = 1.998401444325282e-13 relative error = 3.304736134701214e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = 6.063787874807917 y[1] (numeric) = 6.063787874808119 absolute error = 2.016165012719284e-13 relative error = 3.324926686659781e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = 6.080492524600776 y[1] (numeric) = 6.080492524600979 absolute error = 2.033928581113287e-13 relative error = 3.345006301519674e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = 6.097197174393635 y[1] (numeric) = 6.097197174393839 absolute error = 2.042810365310288e-13 relative error = 3.350408895893128e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = 6.113901824186494 y[1] (numeric) = 6.1139018241867 absolute error = 2.060573933704291e-13 relative error = 3.370309162559161e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = 6.130606473979352 y[1] (numeric) = 6.13060647397956 absolute error = 2.078337502098293e-13 relative error = 3.390100980905487e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 6.14731112377221 y[1] (numeric) = 6.14731112377242 absolute error = 2.096101070492296e-13 relative error = 3.409785235021671e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 6.16401577356507 y[1] (numeric) = 6.16401577356528 absolute error = 2.104982854689297e-13 relative error = 3.414953712021152e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = 6.180720423357928 y[1] (numeric) = 6.180720423358141 absolute error = 2.122746423083299e-13 relative error = 3.434464395220178e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = 6.197425073150787 y[1] (numeric) = 6.197425073151001 absolute error = 2.140509991477302e-13 relative error = 3.453869899534035e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = 6.214129722943646 y[1] (numeric) = 6.214129722943861 absolute error = 2.149391775674303e-13 relative error = 3.458878188104724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = 6.230834372736505 y[1] (numeric) = 6.230834372736721 absolute error = 2.167155344068306e-13 relative error = 3.478114188929272e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = 6.247539022529363 y[1] (numeric) = 6.247539022529581 absolute error = 2.184918912462308e-13 relative error = 3.497247323439249e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = 6.264243672322222 y[1] (numeric) = 6.264243672322442 absolute error = 2.193800696659309e-13 relative error = 3.502099872570959e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = 6.280948322115081 y[1] (numeric) = 6.280948322115302 absolute error = 2.211564265053312e-13 relative error = 3.52106744337705e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = 6.297652971907939 y[1] (numeric) = 6.297652971908162 absolute error = 2.229327833447314e-13 relative error = 3.539934390465336e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = 6.314357621700799 y[1] (numeric) = 6.314357621701022 absolute error = 2.238209617644316e-13 relative error = 3.544635498553604e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 6.331062271493657 y[1] (numeric) = 6.331062271493883 absolute error = 2.255973186038318e-13 relative error = 3.563340699073676e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = 6.347766921286516 y[1] (numeric) = 6.347766921286743 absolute error = 2.273736754432321e-13 relative error = 3.581947451169958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = 6.364471571079375 y[1] (numeric) = 6.364471571079603 absolute error = 2.282618538629322e-13 relative error = 3.586501272158568e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = 6.381176220872233 y[1] (numeric) = 6.381176220872463 absolute error = 2.300382107023324e-13 relative error = 3.604949976932135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = 6.397880870665092 y[1] (numeric) = 6.397880870665324 absolute error = 2.318145675417327e-13 relative error = 3.623302343821766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = 6.414585520457951 y[1] (numeric) = 6.414585520458184 absolute error = 2.327027459614328e-13 relative error = 3.627712893050955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = 6.43129017025081 y[1] (numeric) = 6.431290170251044 absolute error = 2.344791028008331e-13 relative error = 3.64591079851228e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = 6.447994820043668 y[1] (numeric) = 6.447994820043904 absolute error = 2.362554596402333e-13 relative error = 3.664014414308002e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = 6.464699469836527 y[1] (numeric) = 6.464699469836765 absolute error = 2.371436380599334e-13 relative error = 3.668285574084546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = 6.481404119629386 y[1] (numeric) = 6.481404119629625 absolute error = 2.389199948993337e-13 relative error = 3.686238205325722e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 6.498108769422244 y[1] (numeric) = 6.498108769422485 absolute error = 2.406963517387339e-13 relative error = 3.704098535120929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 6.514813419215104 y[1] (numeric) = 6.514813419215345 absolute error = 2.415845301584341e-13 relative error = 3.708234060025311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 6.531518069007962 y[1] (numeric) = 6.531518069008206 absolute error = 2.433608869978343e-13 relative error = 3.725946777252002e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 6.548222718800821 y[1] (numeric) = 6.548222718801066 absolute error = 2.451372438372346e-13 relative error = 3.743569123472433e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = 6.56492736859368 y[1] (numeric) = 6.564927368593926 absolute error = 2.460254222569347e-13 relative error = 3.747572645417364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = 6.581632018386538 y[1] (numeric) = 6.581632018386786 absolute error = 2.478017790963349e-13 relative error = 3.765050650113414e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = 6.598336668179397 y[1] (numeric) = 6.598336668179646 absolute error = 2.495781359357352e-13 relative error = 3.782440158583154e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = 6.615041317972255 y[1] (numeric) = 6.615041317972507 absolute error = 2.513544927751354e-13 relative error = 3.799741841252543e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = 6.631745967765115 y[1] (numeric) = 6.631745967765367 absolute error = 2.522426711948356e-13 relative error = 3.803563532452991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = 6.648450617557973 y[1] (numeric) = 6.648450617558227 absolute error = 2.540190280342358e-13 relative error = 3.820725198189694e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = 6.665155267350832 y[1] (numeric) = 6.665155267351087 absolute error = 2.557953848736361e-13 relative error = 3.837800840539246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = 6.681859917143691 y[1] (numeric) = 6.681859917143948 absolute error = 2.566835632933362e-13 relative error = 3.841498721557474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = 6.698564566936557 y[1] (numeric) = 6.698564566936808 absolute error = 2.513544927751354e-13 relative error = 3.752363514054877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = 6.715269216729422 y[1] (numeric) = 6.715269216729668 absolute error = 2.460254222569347e-13 relative error = 3.663671765296075e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = 6.731973866522289 y[1] (numeric) = 6.731973866522528 absolute error = 2.398081733190338e-13 relative error = 3.5622267417226e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = 6.748678516315155 y[1] (numeric) = 6.748678516315389 absolute error = 2.335909243811329e-13 relative error = 3.461283921236122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = 6.765383166108021 y[1] (numeric) = 6.765383166108249 absolute error = 2.282618538629322e-13 relative error = 3.373967863438049e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = 6.782087815900887 y[1] (numeric) = 6.782087815901109 absolute error = 2.220446049250313e-13 relative error = 3.273985990043339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = 6.798792465693754 y[1] (numeric) = 6.798792465693969 absolute error = 2.158273559871304e-13 relative error = 3.174495428065802e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = 6.815497115486619 y[1] (numeric) = 6.81549711548683 absolute error = 2.104982854689297e-13 relative error = 3.088524313077937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = 6.832201765279486 y[1] (numeric) = 6.83220176527969 absolute error = 2.042810365310288e-13 relative error = 2.989973709048861e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = 6.848906415072352 y[1] (numeric) = 6.84890641507255 absolute error = 1.980637875931279e-13 relative error = 2.891903839673586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = 6.865611064865218 y[1] (numeric) = 6.86561106486541 absolute error = 1.927347170749272e-13 relative error = 2.807247821847171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = 6.882315714658084 y[1] (numeric) = 6.882315714658271 absolute error = 1.865174681370263e-13 relative error = 2.710097529233916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 6.89902036445095 y[1] (numeric) = 6.899020364451131 absolute error = 1.803002191991254e-13 relative error = 2.613417698086102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = 6.915725014243816 y[1] (numeric) = 6.915725014243991 absolute error = 1.749711486809247e-13 relative error = 2.530047801503809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = 6.932429664036682 y[1] (numeric) = 6.932429664036851 absolute error = 1.687538997430238e-13 relative error = 2.434267752018707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 6.949134313829549 y[1] (numeric) = 6.949134313829711 absolute error = 1.625366508051229e-13 relative error = 2.338948183540746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = 6.965838963622415 y[1] (numeric) = 6.965838963622572 absolute error = 1.572075802869222e-13 relative error = 2.256836270661792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = 6.982543613415281 y[1] (numeric) = 6.982543613415432 absolute error = 1.509903313490213e-13 relative error = 2.162397253902283e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 6.999248263208147 y[1] (numeric) = 6.999248263208292 absolute error = 1.447730824111204e-13 relative error = 2.068409020039001e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = 7.015952913001013 y[1] (numeric) = 7.015952913001152 absolute error = 1.394440118929197e-13 relative error = 1.987527761688949e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = 7.032657562793879 y[1] (numeric) = 7.032657562794013 absolute error = 1.332267629550188e-13 relative error = 1.894401394713885e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 7.049362212586746 y[1] (numeric) = 7.049362212586873 absolute error = 1.270095140171179e-13 relative error = 1.801716384928277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = 7.066066862379611 y[1] (numeric) = 7.066066862379733 absolute error = 1.216804434989172e-13 relative error = 1.722039231566786e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = 7.082771512172478 y[1] (numeric) = 7.082771512172593 absolute error = 1.154631945610163e-13 relative error = 1.630197929759287e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 7.099476161965344 y[1] (numeric) = 7.099476161965454 absolute error = 1.092459456231154e-13 relative error = 1.538788822313235e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = 7.11618081175821 y[1] (numeric) = 7.116180811758314 absolute error = 1.039168751049147e-13 relative error = 1.460289976516767e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = 7.132885461551076 y[1] (numeric) = 7.132885461551174 absolute error = 9.769962616701378e-14 relative error = 1.369706925670563e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = 7.149590111343943 y[1] (numeric) = 7.149590111344034 absolute error = 9.14823772291129e-14 relative error = 1.279547160108687e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = 7.166294761136808 y[1] (numeric) = 7.166294761136895 absolute error = 8.615330671091215e-14 relative error = 1.202201550208708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = 7.182999410929675 y[1] (numeric) = 7.182999410929755 absolute error = 7.993605777301127e-14 relative error = 1.112850679778427e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = 7.199704060722541 y[1] (numeric) = 7.199704060722615 absolute error = 7.371880883511039e-14 relative error = 1.023914430556639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = 7.216408710515407 y[1] (numeric) = 7.216408710515475 absolute error = 6.838973831690964e-14 relative error = 9.476976853771514e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = 7.233113360308273 y[1] (numeric) = 7.233113360308336 absolute error = 6.217248937900877e-14 relative error = 8.595536428362985e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = 7.24981801010114 y[1] (numeric) = 7.249818010101196 absolute error = 5.595524044110789e-14 relative error = 7.718157940398738e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = 7.266522659894006 y[1] (numeric) = 7.266522659894056 absolute error = 4.973799150320701e-14 relative error = 6.844813376517087e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = 7.283227309686872 y[1] (numeric) = 7.283227309686916 absolute error = 4.440892098500626e-14 relative error = 6.097423449346597e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = 7.299931959479738 y[1] (numeric) = 7.299931959479776 absolute error = 3.819167204710538e-14 relative error = 5.231784660336379e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = 7.316636609272605 y[1] (numeric) = 7.316636609272637 absolute error = 3.197442310920451e-14 relative error = 4.370098559860457e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = 7.33334125906547 y[1] (numeric) = 7.333341259065497 absolute error = 2.664535259100376e-14 relative error = 3.633453244530901e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = 7.350045908858337 y[1] (numeric) = 7.350045908858357 absolute error = 2.042810365310288e-14 relative error = 2.779316470456703e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = 7.366750558651203 y[1] (numeric) = 7.366750558651217 absolute error = 1.4210854715202e-14 relative error = 1.929053332546108e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = 7.383455208444069 y[1] (numeric) = 7.383455208444078 absolute error = 8.881784197001252e-15 relative error = 1.202930599056608e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = 7.400159858236935 y[1] (numeric) = 7.400159858236938 absolute error = 2.664535259100376e-15 relative error = 3.600645540291332e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = 7.416864508029802 y[1] (numeric) = 7.416864508029798 absolute error = 3.552713678800501e-15 relative error = 4.790047971018194e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = 7.433569157822667 y[1] (numeric) = 7.433569157822658 absolute error = 8.881784197001252e-15 relative error = 1.194820954568582e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = 7.450273807615534 y[1] (numeric) = 7.450273807615519 absolute error = 1.509903313490213e-14 relative error = 2.026641372491327e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = 7.4669784574084 y[1] (numeric) = 7.466978457408379 absolute error = 2.131628207280301e-14 relative error = 2.854739998834997e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = 7.483683107201266 y[1] (numeric) = 7.483683107201239 absolute error = 2.664535259100376e-14 relative error = 3.560459764171994e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = 7.500387756994132 y[1] (numeric) = 7.500387756994099 absolute error = 3.286260152890463e-14 relative error = 4.381453678612838e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = 7.517092406786999 y[1] (numeric) = 7.51709240678696 absolute error = 3.907985046680551e-14 relative error = 5.198798731211721e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = 7.533797056579864 y[1] (numeric) = 7.53379705657982 absolute error = 4.440892098500626e-14 relative error = 5.894626660565593e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = 7.550501706372731 y[1] (numeric) = 7.55050170637268 absolute error = 5.062616992290714e-14 relative error = 6.705007414299097e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = 7.567206356165597 y[1] (numeric) = 7.56720635616554 absolute error = 5.684341886080801e-14 relative error = 7.511810328060265e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = 7.583911005958463 y[1] (numeric) = 7.583911005958401 absolute error = 6.217248937900877e-14 relative error = 8.197945536301997e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = 7.600615655751329 y[1] (numeric) = 7.600615655751261 absolute error = 6.838973831690964e-14 relative error = 8.997920880943327e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = 7.617320305544196 y[1] (numeric) = 7.617320305544121 absolute error = 7.460698725481052e-14 relative error = 9.794387561792369e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = 7.634024955337061 y[1] (numeric) = 7.634024955336981 absolute error = 7.993605777301127e-14 relative error = 1.047102390163485e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = 7.650729605129928 y[1] (numeric) = 7.650729605129841 absolute error = 8.615330671091215e-14 relative error = 1.126079617990225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = 7.667434254922794 y[1] (numeric) = 7.667434254922702 absolute error = 9.237055564881302e-14 relative error = 1.2047127184626e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = 7.68413890471566 y[1] (numeric) = 7.684138904715562 absolute error = 9.769962616701378e-14 relative error = 1.271445341872422e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = 7.700843554508526 y[1] (numeric) = 7.700843554508422 absolute error = 1.039168751049147e-13 relative error = 1.349421973961224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = 7.717548204301393 y[1] (numeric) = 7.717548204301282 absolute error = 1.101341240428155e-13 relative error = 1.427061044872153e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = 7.734252854094258 y[1] (numeric) = 7.734252854094143 absolute error = 1.154631945610163e-13 relative error = 1.492881041507376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = 7.750957503887125 y[1] (numeric) = 7.750957503887003 absolute error = 1.216804434989172e-13 relative error = 1.569876282225701e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = 7.767662153679991 y[1] (numeric) = 7.767662153679863 absolute error = 1.27897692436818e-13 relative error = 1.646540360618355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 7.784366803472857 y[1] (numeric) = 7.784366803472723 absolute error = 1.332267629550188e-13 relative error = 1.711465637713552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = 7.801071453265723 y[1] (numeric) = 7.801071453265584 absolute error = 1.394440118929197e-13 relative error = 1.787498201090633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = 7.817776103058589 y[1] (numeric) = 7.817776103058444 absolute error = 1.456612608308205e-13 relative error = 1.863205838983195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = 7.834480752851455 y[1] (numeric) = 7.834480752851304 absolute error = 1.509903313490213e-13 relative error = 1.927253842497047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = 7.851185402644322 y[1] (numeric) = 7.851185402644164 absolute error = 1.572075802869222e-13 relative error = 2.002341967799841e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = 7.867890052437188 y[1] (numeric) = 7.867890052437025 absolute error = 1.63424829224823e-13 relative error = 2.077111247559947e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = 7.884594702230054 y[1] (numeric) = 7.884594702229885 absolute error = 1.687538997430238e-13 relative error = 2.140298976880752e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = 7.90129935202292 y[1] (numeric) = 7.901299352022745 absolute error = 1.749711486809247e-13 relative error = 2.214460443599418e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = 7.918004001815786 y[1] (numeric) = 7.918004001815605 absolute error = 1.811883976188255e-13 relative error = 2.288308992736992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = 7.934708651608652 y[1] (numeric) = 7.934708651608466 absolute error = 1.865174681370263e-13 relative error = 2.350653014830135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = 7.951413301401518 y[1] (numeric) = 7.951413301401326 absolute error = 1.927347170749272e-13 relative error = 2.423905157098999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = 7.968117951194385 y[1] (numeric) = 7.968117951194186 absolute error = 1.989519660128281e-13 relative error = 2.496850162503004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = 7.98482260098725 y[1] (numeric) = 7.984822600987046 absolute error = 2.042810365310288e-13 relative error = 2.558366625524922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = 8.001527250780118 y[1] (numeric) = 8.001527250779906 absolute error = 2.113864638886298e-13 relative error = 2.641826457168167e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = 8.018231900572983 y[1] (numeric) = 8.018231900572767 absolute error = 2.167155344068306e-13 relative error = 2.70278456764694e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = 8.034936550365849 y[1] (numeric) = 8.034936550365627 absolute error = 2.220446049250313e-13 relative error = 2.763489214048879e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = 8.051641200158716 y[1] (numeric) = 8.051641200158487 absolute error = 2.291500322826323e-13 relative error = 2.846004020622718e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = 8.068345849951582 y[1] (numeric) = 8.068345849951347 absolute error = 2.344791028008331e-13 relative error = 2.906160781422628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = 8.085050499744447 y[1] (numeric) = 8.085050499744208 absolute error = 2.398081733190338e-13 relative error = 2.96606896056634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = 8.101755149537315 y[1] (numeric) = 8.101755149537068 absolute error = 2.469136006766348e-13 relative error = 3.047655676075768e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = 8.11845979933018 y[1] (numeric) = 8.118459799329928 absolute error = 2.522426711948356e-13 relative error = 3.107026177744294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = 8.135164449123046 y[1] (numeric) = 8.135164449122788 absolute error = 2.575717417130363e-13 relative error = 3.166152858050731e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = 8.151869098915913 y[1] (numeric) = 8.151869098915649 absolute error = 2.646771690706373e-13 relative error = 3.246828007896198e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = 8.168573748708779 y[1] (numeric) = 8.168573748708509 absolute error = 2.700062395888381e-13 relative error = 3.305426967976123e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = 8.185278398501644 y[1] (numeric) = 8.185278398501369 absolute error = 2.753353101070388e-13 relative error = 3.363786748627149e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = 8.201983048294512 y[1] (numeric) = 8.201983048294229 absolute error = 2.824407374646398e-13 relative error = 3.443566461934708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = 8.218687698087377 y[1] (numeric) = 8.21868769808709 absolute error = 2.877698079828406e-13 relative error = 3.501408236375855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = 8.235392347880243 y[1] (numeric) = 8.23539234787995 absolute error = 2.930988785010413e-13 relative error = 3.559015358588032e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = 8.25209699767311 y[1] (numeric) = 8.25209699767281 absolute error = 3.002043058586423e-13 relative error = 3.637915380094206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = 8.268801647465976 y[1] (numeric) = 8.26880164746567 absolute error = 3.055333763768431e-13 relative error = 3.695013974249529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = 8.285506297258841 y[1] (numeric) = 8.28550629725853 absolute error = 3.108624468950438e-13 relative error = 3.751882332138096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = 8.302210947051709 y[1] (numeric) = 8.302210947051391 absolute error = 3.179678742526448e-13 relative error = 3.829918033648157e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = 8.318915596844574 y[1] (numeric) = 8.318915596844251 absolute error = 3.232969447708456e-13 relative error = 3.886287112871713e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = 8.33562024663744 y[1] (numeric) = 8.335620246637111 absolute error = 3.286260152890463e-13 relative error = 3.942430263922027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Finished! diff ( y , x , 1 ) = arcsin ( 0.1 ) + arccos ( 0.1 ) + arctan ( 0.1 ) ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %