##############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; ELIMINATED in preodein.rb 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 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return((arcsin(c(0.1)) + arccos(c(0.1)) + arctan(c(0.1))) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) -8.352324896430293 y[1] (numeric) -8.352324896430293 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -4.989999999999997 y[1] (closed_form) -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 1.2434497875801753e-14 relative error 1.4947258126429688e-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 1.7763568394002505e-14 relative error 2.1396190132112645e-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 2.3092638912203256e-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 4.3052253018866423e-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) -8.20198304829455 absolute error 5.3290705182007514e-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) -8.18527839850169 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) -8.1017551495373 y[1] (numeric) -8.10175514953739 absolute error 8.881784197001252e-14 relative error 1.0962790201711416e-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) -8.08505049974453 absolute error 9.414691248821327e-14 relative error 1.1644567030371576e-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 1.0125233984581428e-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 1.0658141036401503e-13 relative error 1.3237228002896386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.8099999999999365 y[1] (closed_form) -8.034936550365837 y[1] (numeric) -8.034936550365948 absolute error 1.1191048088221578e-13 relative error 1.3927985638806372e-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) -8.01823190057297 y[1] (numeric) -8.018231900573088 absolute error 1.1901590823981678e-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 1.2434497875801753e-13 relative error 1.5540155630401008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7799999999999265 y[1] (closed_form) -7.984822600987237 y[1] (numeric) -7.984822600987368 absolute error 1.305622276959184e-13 relative error 1.6351299737050614e-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) -7.9681179511945075 absolute error 1.3589129821411916e-13 relative error 1.7054378342096442e-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 1.4210854715202004e-13 relative error 1.7872111757412004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7499999999999165 y[1] (closed_form) -7.934708651608639 y[1] (numeric) -7.934708651608787 absolute error 1.4832579608992091e-13 relative error 1.8693288260792055e-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 1.5365486660812167e-13 relative error 1.9405757634485308e-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) -7.9012993520230665 absolute error 1.5987211554602254e-13 relative error 2.0233648723243445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7199999999999065 y[1] (closed_form) -7.88459470223004 y[1] (numeric) -7.884594702230206 absolute error 1.6608936448392342e-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 1.7141843500212417e-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 1.7763568394002505e-13 relative error 2.2625332969489766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6899999999998965 y[1] (closed_form) -7.834480752851442 y[1] (numeric) -7.834480752851626 absolute error 1.8385293287792592e-13 relative error 2.3467149729228795e-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 1.8918200339612667e-13 relative error 2.4198953884354956e-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 1.9539925233402755e-13 relative error 2.5047745492989796e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6599999999998865 y[1] (closed_form) -7.784366803472843 y[1] (numeric) -7.784366803473045 absolute error 2.0161650127192843e-13 relative error 2.5900179984065133e-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 2.0694557179012918e-13 relative error 2.6641937779449822e-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 2.1316282072803006e-13 relative error 2.7501482316362686e-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 2.1938006966593093e-13 relative error 2.8364739788640185e-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 2.2470914018413168e-13 relative error 2.9116648738117366e-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 2.3092638912203256e-13 relative error 2.9987154976916146e-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) -7.6841389047158835 absolute error 2.3714363805993344e-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 3.1623708859643316e-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 2.4868995751603507e-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 2.5490720645393594e-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) -7.6173203055444425 absolute error 2.602362769721367e-13 relative error 3.4163756614347254e-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 2.6645352591003757e-13 relative error 3.5056834601077957e-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 2.7267077484793845e-13 relative error 3.5953846852067393e-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) -7.5505017063730016 absolute error 2.8421709430404007e-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 2.9043434324194095e-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 3.0819791163594346e-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 3.2596148002994596e-13 relative error 4.3849929032667054e-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) -7.3834552084440555 y[1] (numeric) -7.383455208444399 absolute error 3.4372504842394846e-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) -7.3333412590658185 absolute error 3.6148861681795097e-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) -7.3166366092725905 y[1] (numeric) -7.316636609272958 absolute error 3.6770586575585185e-13 relative error 5.0256133438395356e-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) -7.2832273096868585 y[1] (numeric) -7.283227309687238 absolute error 3.7925218521195347e-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) -7.2665226598943775 absolute error 3.8546943414985435e-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) -7.2498180101011265 y[1] (numeric) -7.249818010101517 absolute error 3.907985046680551e-13 relative error 5.3904595139292875e-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 4.0323300254385686e-13 relative error 5.5877240150808765e-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) -7.1829994109296615 y[1] (numeric) -7.182999410930076 absolute error 4.147793219999585e-13 relative error 5.7744585272947355e-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 4.2099657093785936e-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] -4.2799999999997596 y[1] (closed_form) -7.1495901113439295 y[1] (numeric) -7.149590111344356 absolute error 4.263256414560601e-13 relative error 5.9629382218657345e-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 4.3876013933186186e-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] -4.2499999999997495 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 6.4607895257323324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2199999999997395 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] -4.1899999999997295 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) -6.9825436134157535 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] -4.1599999999997195 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) -6.9157250142443125 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] -4.1299999999997095 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] -3.9999999999996665 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] -3.9899999999996676 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] -3.9799999999996687 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) -6.6317459677656885 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) -6.5649273685942475 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] -3.9199999999996753 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] -3.9099999999996764 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] -3.8999999999996775 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] -3.8899999999996786 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] -3.8799999999996797 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) -6.3978808706650785 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] -3.8199999999996863 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] -3.8099999999996874 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] -3.7999999999996885 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] -3.7899999999996896 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] -3.7799999999996907 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) -6.2809483221150675 y[1] (numeric) -6.2809483221156235 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] -3.7299999999996962 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] -3.7199999999996973 y[1] (closed_form) -6.214129722943633 y[1] (numeric) -6.2141297229441825 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] -3.7099999999996984 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] -3.6999999999996995 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] -3.6899999999997006 y[1] (closed_form) -6.1640157735650565 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] -3.6799999999997017 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] -3.6299999999997072 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] -3.6199999999997083 y[1] (closed_form) -6.0470832250150455 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] -3.6099999999997094 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] -3.5999999999997105 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] -3.5899999999997116 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] -3.5799999999997127 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) -5.9301506764655585 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] -3.5299999999997183 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] -3.5199999999997194 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] -3.5099999999997205 y[1] (closed_form) -5.863332077293599 y[1] (numeric) -5.8633320772941175 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] -3.4999999999997216 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] -3.4899999999997227 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] -3.4799999999997238 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 8.85134413511651e-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 8.84617728769464e-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] -3.4299999999997293 y[1] (closed_form) -5.7296948789507285 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] -3.4199999999997304 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] -3.4099999999997315 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] -3.3999999999997326 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] -3.3899999999997337 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] -3.3799999999997348 y[1] (closed_form) -5.646171629986435 y[1] (numeric) -5.6461716299869344 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) -5.6127623304007175 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) -5.5793530308154935 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] -3.3299999999997403 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] -3.3199999999997414 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] -3.3099999999997425 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] -3.2999999999997436 y[1] (closed_form) -5.512534431643565 y[1] (numeric) -5.5125344316440525 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] -3.2899999999997447 y[1] (closed_form) -5.4958297818507065 y[1] (numeric) -5.495829781851192 absolute error 4.858335955759685e-13 relative error 8.84004081022257e-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] -3.2299999999997513 y[1] (closed_form) -5.395601883093554 y[1] (numeric) -5.395601883094031 absolute error 4.769518113789672e-13 relative error 8.8396405389626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2199999999997524 y[1] (closed_form) -5.3788972333006955 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] -3.2099999999997535 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] -3.1999999999997546 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] -3.1899999999997557 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) -5.2953739843368695 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] -3.1299999999997623 y[1] (closed_form) -5.228555385164967 y[1] (numeric) -5.2285553851654285 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] -3.1199999999997634 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] -3.1099999999997645 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] -3.0999999999997656 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] -3.0899999999997667 y[1] (closed_form) -5.161736785993532 y[1] (numeric) -5.1617367859939876 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 4.5297099404706387e-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 4.4853010194856324e-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] -3.0299999999997733 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] -3.0199999999997744 y[1] (closed_form) -5.04480423744352 y[1] (numeric) -5.044804237443966 absolute error 4.4586556668946287e-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] -3.0099999999997755 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] -2.9999999999997766 y[1] (closed_form) -5.011394937857803 y[1] (numeric) -5.011394937858245 absolute error 4.4231285301066237e-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] -2.9899999999997777 y[1] (closed_form) -4.994690288064944 y[1] (numeric) -4.994690288065385 absolute error 4.4142467459096224e-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 4.3787196091216174e-13 relative error 8.82578434740867e-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) -4.9445763386863675 y[1] (numeric) -4.9445763386868045 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 4.3520742565306136e-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] -2.9399999999997832 y[1] (closed_form) -4.9111670391006506 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] -2.9299999999997843 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] -2.9199999999997854 y[1] (closed_form) -4.877757739514933 y[1] (numeric) -4.8777577395153635 absolute error 4.3076653355456074e-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] -2.9099999999997865 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] -2.8999999999997876 y[1] (closed_form) -4.844348439929215 y[1] (numeric) -4.844348439929643 absolute error 4.2810199829546036e-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] -2.8899999999997887 y[1] (closed_form) -4.8276437901363565 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 4.2454928461665986e-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 4.2366110619695974e-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 4.2010839251815923e-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] -2.8399999999997942 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] -2.8299999999997953 y[1] (closed_form) -4.727415891379204 y[1] (numeric) -4.727415891379621 absolute error 4.1744385725905886e-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] -2.8199999999997964 y[1] (closed_form) -4.7107112415863455 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] -2.8099999999997975 y[1] (closed_form) -4.694006591793487 y[1] (numeric) -4.694006591793901 absolute error 4.1389114358025836e-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] -2.7999999999997986 y[1] (closed_form) -4.677301942000628 y[1] (numeric) -4.677301942001041 absolute error 4.1300296516055823e-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] -2.7899999999997998 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 4.0945025148175773e-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 4.0678571622265736e-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) -4.5937786930363345 y[1] (numeric) -4.5937786930367395 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] -2.7399999999998053 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] -2.7299999999998064 y[1] (closed_form) -4.560369393450617 y[1] (numeric) -4.560369393451019 absolute error 4.0234482412415673e-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] -2.7199999999998075 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] -2.7099999999998086 y[1] (closed_form) -4.526960093864899 y[1] (numeric) -4.5269600938652985 absolute error 3.9968028886505635e-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] -2.6999999999998097 y[1] (closed_form) -4.51025544407204 y[1] (numeric) -4.510255444072438 absolute error 3.979039320256561e-13 relative error 8.82220390751111e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6899999999998108 y[1] (closed_form) -4.493550794279182 y[1] (numeric) -4.493550794279578 absolute error 3.9612757518625585e-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 3.9523939676655573e-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 3.9168668308775523e-13 relative error 8.81494880561348e-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] -2.6399999999998163 y[1] (closed_form) -4.410027545314888 y[1] (numeric) -4.410027545315277 absolute error 3.8902214782865485e-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] -2.6299999999998174 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] -2.6199999999998185 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] -2.6099999999998196 y[1] (closed_form) -4.359913595936312 y[1] (numeric) -4.359913595936696 absolute error 3.8458125573015423e-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] -2.5999999999998207 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 3.8191672047105385e-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 3.7836400679225335e-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) -4.2763903469720175 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 3.7569947153315297e-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] -2.5399999999998273 y[1] (closed_form) -4.2429810473863006 y[1] (numeric) -4.2429810473866745 absolute error 3.739231146937527e-13 relative error 8.81274534384478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5299999999998284 y[1] (closed_form) -4.226276397593442 y[1] (numeric) -4.226276397593814 absolute error 3.7214675785435247e-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] -2.5199999999998295 y[1] (closed_form) -4.209571747800583 y[1] (numeric) -4.209571747800954 absolute error 3.7125857943465235e-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] -2.5099999999998306 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] -2.4999999999998317 y[1] (closed_form) -4.176162448214866 y[1] (numeric) -4.1761624482152335 absolute error 3.6770586575585185e-13 relative error 8.80487457840704e-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) -4.1594577984220065 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 3.6504133049675147e-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) -4.1260484988362895 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 3.6060043839825084e-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] -2.4399999999998383 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] -2.4299999999998394 y[1] (closed_form) -4.059229899664854 y[1] (numeric) -4.059229899665212 absolute error 3.5793590313915047e-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] -2.4199999999998405 y[1] (closed_form) -4.0425252498719955 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] -2.4099999999998416 y[1] (closed_form) -4.025820600079137 y[1] (numeric) -4.025820600079491 absolute error 3.5438318946034997e-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] -2.3999999999998427 y[1] (closed_form) -4.009115950286278 y[1] (numeric) -4.009115950286631 absolute error 3.5349501104064984e-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) -3.9757066507005603 y[1] (numeric) -3.9757066507009107 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) -3.9590020009080504 absolute error 3.4861002973229915e-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 3.4727776210274897e-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) -3.9255927013219845 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] -2.3399999999998493 y[1] (closed_form) -3.9088880515291256 y[1] (numeric) -3.9088880515294697 absolute error 3.4416913763379853e-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] -2.3299999999998504 y[1] (closed_form) -3.8921834017362666 y[1] (numeric) -3.8921834017366095 absolute error 3.4283687000424834e-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] -2.3199999999998515 y[1] (closed_form) -3.875478751943408 y[1] (numeric) -3.8754787519437492 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] -2.3099999999998526 y[1] (closed_form) -3.8587741021505493 y[1] (numeric) -3.858774102150889 absolute error 3.397282455352979e-13 relative error 8.80404596231644e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2999999999998537 y[1] (closed_form) -3.8420694523576904 y[1] (numeric) -3.8420694523580288 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) -3.8253648025651685 absolute error 3.3661962106634746e-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) -3.8086601527723083 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) -3.7752508531862556 y[1] (numeric) -3.775250853186588 absolute error 3.3217872896784684e-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] -2.2499999999998592 y[1] (closed_form) -3.7585462033933967 y[1] (numeric) -3.7585462033937276 absolute error 3.3084646133829665e-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] -2.2399999999998603 y[1] (closed_form) -3.741841553600538 y[1] (numeric) -3.7418415536008673 absolute error 3.2951419370874646e-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] -2.2299999999998614 y[1] (closed_form) -3.7251369038076794 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] -2.2199999999998625 y[1] (closed_form) -3.7084322540148205 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] -2.2099999999998636 y[1] (closed_form) -3.691727604221962 y[1] (numeric) -3.6917276042222866 absolute error 3.2462921240039577e-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] -2.1999999999998647 y[1] (closed_form) -3.675022954429103 y[1] (numeric) -3.6750229544294264 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) -3.6416136548433857 y[1] (numeric) -3.641613654843706 absolute error 3.2018832030189515e-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) -3.6249090050508457 absolute error 3.1885605267234496e-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) -3.6082043552579854 absolute error 3.1752378504279477e-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] -2.1499999999998702 y[1] (closed_form) -3.5914997054648095 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] -2.1399999999998713 y[1] (closed_form) -3.5747950556719505 y[1] (numeric) -3.574795055672265 absolute error 3.1441516057384433e-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] -2.1299999999998724 y[1] (closed_form) -3.5580904058790916 y[1] (numeric) -3.5580904058794047 absolute error 3.1308289294429414e-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] -2.1199999999998735 y[1] (closed_form) -3.541385756086233 y[1] (numeric) -3.5413857560865445 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] -2.1099999999998746 y[1] (closed_form) -3.5246811062933743 y[1] (numeric) -3.5246811062936843 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] -2.0999999999998757 y[1] (closed_form) -3.5079764565005154 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) -3.4912718067079638 absolute error 3.0686564400639327e-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) -3.4745671569151035 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) -3.4578625071219395 y[1] (numeric) -3.4578625071222433 absolute error 3.0375701953744283e-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) -3.4411578573290806 y[1] (numeric) -3.441157857329383 absolute error 3.0242475190789264e-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] -2.0499999999998813 y[1] (closed_form) -3.4244532075362217 y[1] (numeric) -3.424453207536523 absolute error 3.0109248427834245e-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] -2.0399999999998824 y[1] (closed_form) -3.4077485577433633 y[1] (numeric) -3.4077485577436626 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] -2.0299999999998835 y[1] (closed_form) -3.3910439079505044 y[1] (numeric) -3.3910439079508023 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] -2.0199999999998846 y[1] (closed_form) -3.3743392581576455 y[1] (numeric) -3.374339258157942 absolute error 2.9665159217984183e-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] -2.0099999999998857 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] -1.9999999999998868 y[1] (closed_form) -3.340929958571928 y[1] (numeric) -3.3409299585722216 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] -1.9899999999998879 y[1] (closed_form) -3.324225308779069 y[1] (numeric) -3.3242253087793614 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) -3.3075206589862107 y[1] (numeric) -3.307520658986501 absolute error 2.9043434324194095e-13 relative error 8.7810288486894e-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 2.8910207561239076e-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] -1.9599999999998912 y[1] (closed_form) -3.274111359400493 y[1] (numeric) -3.2741113594007807 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] -1.9499999999998923 y[1] (closed_form) -3.2574067096076345 y[1] (numeric) -3.2574067096079204 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] -1.9399999999998934 y[1] (closed_form) -3.2407020598147755 y[1] (numeric) -3.24070205981506 absolute error 2.8466118351389014e-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] -1.9299999999998945 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] -1.9199999999998956 y[1] (closed_form) -3.207292760229058 y[1] (numeric) -3.2072927602293397 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] -1.9099999999998967 y[1] (closed_form) -3.1905881104361993 y[1] (numeric) -3.1905881104364795 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] -1.8999999999998978 y[1] (closed_form) -3.173883460643341 y[1] (numeric) -3.1738834606436193 absolute error 2.7844393457598926e-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] -1.8899999999998989 y[1] (closed_form) -3.157178810850482 y[1] (numeric) -3.157178810850759 absolute error 2.7711166694643907e-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) -3.1237695112647645 y[1] (numeric) -3.1237695112650385 absolute error 2.7400304247748863e-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] -1.8599999999999022 y[1] (closed_form) -3.1070648614719056 y[1] (numeric) -3.1070648614721783 absolute error 2.7267077484793845e-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] -1.8499999999999033 y[1] (closed_form) -3.0903602116790467 y[1] (numeric) -3.090360211679318 absolute error 2.7133850721838826e-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] -1.8399999999999044 y[1] (closed_form) -3.0736555618861883 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] -1.8299999999999055 y[1] (closed_form) -3.0569509120933294 y[1] (numeric) -3.0569509120935976 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] -1.8199999999999066 y[1] (closed_form) -3.0402462623004705 y[1] (numeric) -3.0402462623007374 absolute error 2.6689761511988763e-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] -1.8099999999999077 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] -1.7999999999999088 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] -1.7899999999999099 y[1] (closed_form) -2.9901323129218946 y[1] (numeric) -2.9901323129221566 absolute error 2.6201263381153694e-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) -2.9734276631290357 y[1] (numeric) -2.9734276631292964 absolute error 2.6068036618198676e-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 2.5934809855243657e-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] -1.7599999999999132 y[1] (closed_form) -2.9400183635433184 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] -1.7499999999999143 y[1] (closed_form) -2.9233137137504595 y[1] (numeric) -2.9233137137507157 absolute error 2.5623947408348613e-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] -1.7399999999999154 y[1] (closed_form) -2.9066090639576005 y[1] (numeric) -2.9066090639578555 absolute error 2.5490720645393594e-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] -1.7299999999999165 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] -1.7199999999999176 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] -1.7099999999999187 y[1] (closed_form) -2.8564951145790243 y[1] (numeric) -2.8564951145792747 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] -1.6999999999999198 y[1] (closed_form) -2.839790464786166 y[1] (numeric) -2.8397904647864145 absolute error 2.4868995751603507e-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) -2.8230858149935543 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 8.76664315267246e-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) -2.7896765154075895 y[1] (numeric) -2.789676515407834 absolute error 2.4424906541753444e-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] -1.6599999999999242 y[1] (closed_form) -2.7729718656147306 y[1] (numeric) -2.7729718656149736 absolute error 2.4291679778798425e-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] -1.6499999999999253 y[1] (closed_form) -2.756267215821872 y[1] (numeric) -2.7562672158221133 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] -1.6399999999999264 y[1] (closed_form) -2.7395625660290133 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] -1.6299999999999275 y[1] (closed_form) -2.7228579162361544 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] -1.6199999999999286 y[1] (closed_form) -2.706153266443296 y[1] (numeric) -2.7061532664435326 absolute error 2.3669954885008337e-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] -1.6099999999999297 y[1] (closed_form) -2.689448616650437 y[1] (numeric) -2.6894486166506724 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] -1.5999999999999308 y[1] (closed_form) -2.672743966857578 y[1] (numeric) -2.672743966857812 absolute error 2.34035013590983e-13 relative error 8.75635738002038e-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) -2.6560393170647196 y[1] (numeric) -2.656039317064952 absolute error 2.3225865675158275e-13 relative error 8.74454889501635e-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) -2.6393346672718607 y[1] (numeric) -2.6393346672720917 absolute error 2.3092638912203256e-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] -1.5699999999999341 y[1] (closed_form) -2.622630017479002 y[1] (numeric) -2.6226300174792314 absolute error 2.2959412149248237e-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] -1.5599999999999352 y[1] (closed_form) -2.6059253676861434 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] -1.5499999999999363 y[1] (closed_form) -2.5892207178932845 y[1] (numeric) -2.589220717893511 absolute error 2.2648549702353193e-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] -1.5399999999999374 y[1] (closed_form) -2.5725160681004255 y[1] (numeric) -2.5725160681006507 absolute error 2.2515322939398175e-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] -1.5299999999999385 y[1] (closed_form) -2.555811418307567 y[1] (numeric) -2.5558114183077905 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] -1.5199999999999396 y[1] (closed_form) -2.539106768514708 y[1] (numeric) -2.5391067685149302 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] -1.5099999999999407 y[1] (closed_form) -2.5224021187218497 y[1] (numeric) -2.52240211872207 absolute error 2.2026824808563106e-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] -1.4999999999999418 y[1] (closed_form) -2.505697468928991 y[1] (numeric) -2.5056974689292097 absolute error 2.1893598045608087e-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) -2.4889928191363495 absolute error 2.1760371282653068e-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) -2.4722881693432734 y[1] (numeric) -2.4722881693434893 absolute error 2.1582735598713043e-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] -1.4699999999999451 y[1] (closed_form) -2.4555835195504145 y[1] (numeric) -2.455583519550629 absolute error 2.1449508835758024e-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] -1.4599999999999462 y[1] (closed_form) -2.4388788697575556 y[1] (numeric) -2.438878869757769 absolute error 2.1316282072803006e-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] -1.4499999999999473 y[1] (closed_form) -2.422174219964697 y[1] (numeric) -2.4221742199649086 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] -1.4399999999999484 y[1] (closed_form) -2.4054695701718383 y[1] (numeric) -2.4054695701720483 absolute error 2.1005419625907962e-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] -1.4299999999999495 y[1] (closed_form) -2.3887649203789794 y[1] (numeric) -2.388764920379188 absolute error 2.0872192862952943e-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] -1.4199999999999506 y[1] (closed_form) -2.372060270586121 y[1] (numeric) -2.372060270586328 absolute error 2.0694557179012918e-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] -1.4099999999999517 y[1] (closed_form) -2.355355620793262 y[1] (numeric) -2.3553556207934676 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] -1.3999999999999528 y[1] (closed_form) -2.338650971000403 y[1] (numeric) -2.3386509710006074 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) -2.3219463212075446 y[1] (numeric) -2.321946321207747 absolute error 2.0250467969162855e-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) -2.3052416714146857 y[1] (numeric) -2.305241671414887 absolute error 2.0117241206207837e-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] -1.3699999999999561 y[1] (closed_form) -2.2885370216218273 y[1] (numeric) -2.2885370216220267 absolute error 1.9939605522267811e-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] -1.3599999999999572 y[1] (closed_form) -2.2718323718289684 y[1] (numeric) -2.2718323718291664 absolute error 1.9806378759312793e-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] -1.3499999999999583 y[1] (closed_form) -2.2551277220361094 y[1] (numeric) -2.255127722036306 absolute error 1.9673151996357774e-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] -1.3399999999999594 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] -1.3299999999999605 y[1] (closed_form) -2.221718422450392 y[1] (numeric) -2.2217184224505857 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] -1.3199999999999616 y[1] (closed_form) -2.205013772657533 y[1] (numeric) -2.2050137726577255 absolute error 1.9229062786507711e-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] -1.3099999999999627 y[1] (closed_form) -2.1883091228646747 y[1] (numeric) -2.1883091228648652 absolute error 1.9051427102567686e-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] -1.2999999999999639 y[1] (closed_form) -2.171604473071816 y[1] (numeric) -2.171604473072005 absolute error 1.8918200339612667e-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) -2.1548998232791448 absolute error 1.8784973576657649e-13 relative error 8.71733032493079e-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) -2.1381951734860984 y[1] (numeric) -2.1381951734862845 absolute error 1.8607337892717624e-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] -1.2699999999999672 y[1] (closed_form) -2.1214905236932395 y[1] (numeric) -2.1214905236934243 absolute error 1.8474111129762605e-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] -1.2599999999999683 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] -1.2499999999999694 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] -1.2399999999999705 y[1] (closed_form) -2.0713765743146633 y[1] (numeric) -2.0713765743148436 absolute error 1.8030021919912542e-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] -1.2299999999999716 y[1] (closed_form) -2.054671924521805 y[1] (numeric) -2.0546719245219833 absolute error 1.7852386235972517e-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] -1.2199999999999727 y[1] (closed_form) -2.037967274728946 y[1] (numeric) -2.037967274729123 absolute error 1.7719159473017498e-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] -1.2099999999999738 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] -1.1999999999999749 y[1] (closed_form) -2.0045579751432285 y[1] (numeric) -2.0045579751434026 absolute error 1.7408297026122455e-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) -1.9878533253503696 y[1] (numeric) -1.9878533253505424 absolute error 1.7275070263167436e-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) -1.9711486755576821 absolute error 1.7119639039719914e-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] -1.1699999999999782 y[1] (closed_form) -1.954444025764652 y[1] (numeric) -1.954444025764822 absolute error 1.6986412276764895e-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] -1.1599999999999793 y[1] (closed_form) -1.9377393759717934 y[1] (numeric) -1.9377393759719617 absolute error 1.6830981053317373e-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] -1.1499999999999804 y[1] (closed_form) -1.9210347261789347 y[1] (numeric) -1.9210347261791014 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] -1.1399999999999815 y[1] (closed_form) -1.904330076386076 y[1] (numeric) -1.9043300763862412 absolute error 1.652011860642233e-13 relative error 8.67502898330169e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1299999999999826 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] -1.1199999999999837 y[1] (closed_form) -1.8709207768003584 y[1] (numeric) -1.8709207768005207 absolute error 1.6231460620019789e-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] -1.1099999999999848 y[1] (closed_form) -1.8542161270074997 y[1] (numeric) -1.8542161270076605 absolute error 1.6076029396572267e-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] -1.0999999999999859 y[1] (closed_form) -1.8375114772146408 y[1] (numeric) -1.8375114772148002 absolute error 1.5942802633617248e-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) -1.8208068274217821 y[1] (numeric) -1.82080682742194 absolute error 1.5787371410169726e-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) -1.8041021776289234 y[1] (numeric) -1.8041021776290798 absolute error 1.5631940186722204e-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] -1.0699999999999892 y[1] (closed_form) -1.7873975278360648 y[1] (numeric) -1.7873975278362195 absolute error 1.5476508963274682e-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] -1.0599999999999903 y[1] (closed_form) -1.7706928780432059 y[1] (numeric) -1.7706928780433593 absolute error 1.5343282200319663e-13 relative error 8.66512899587394e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0499999999999914 y[1] (closed_form) -1.7539882282503472 y[1] (numeric) -1.753988228250499 absolute error 1.5187850976872141e-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] -1.0399999999999925 y[1] (closed_form) -1.7372835784574885 y[1] (numeric) -1.7372835784576388 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] -1.0299999999999936 y[1] (closed_form) -1.7205789286646296 y[1] (numeric) -1.7205789286647786 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] -1.0199999999999947 y[1] (closed_form) -1.703874278871771 y[1] (numeric) -1.7038742788719183 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] -1.0099999999999958 y[1] (closed_form) -1.6871696290789122 y[1] (numeric) -1.687169629079058 absolute error 1.4588330543574557e-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) -1.6704649792860533 y[1] (numeric) -1.6704649792861979 absolute error 1.4455103780619538e-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) -1.6537603294931926 y[1] (numeric) -1.6537603294933376 absolute error 1.4499512701604544e-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) -1.6370556797003322 y[1] (numeric) -1.6370556797004774 absolute error 1.4521717162097048e-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) -1.6203510299074715 y[1] (numeric) -1.6203510299076171 absolute error 1.4566126083082054e-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) -1.6036463801146108 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) -1.5869417303217503 y[1] (numeric) -1.5869417303218967 absolute error 1.4632739464559563e-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) -1.5702370805288897 y[1] (numeric) -1.5702370805290364 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) -1.5535324307361762 absolute error 1.4721557306529576e-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) -1.5368277809431685 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) -1.5201231311503078 y[1] (numeric) -1.5201231311504557 absolute error 1.4788170688007085e-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) -1.5034184813574472 y[1] (numeric) -1.5034184813575955 absolute error 1.4832579608992091e-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) -1.4867138315645867 y[1] (numeric) -1.4867138315647352 absolute error 1.4854784069484595e-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) -1.4533045319788653 y[1] (numeric) -1.4533045319790148 absolute error 1.4943601911454607e-13 relative error 1.0282498666062045e-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) -1.4365998821860049 y[1] (numeric) -1.4365998821861545 absolute error 1.496580637194711e-13 relative error 1.0417518863480876e-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) -1.4198952323931442 y[1] (numeric) -1.4198952323932943 absolute error 1.5010215292932116e-13 relative error 1.0571354104509063e-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) -1.4031905826002837 y[1] (numeric) -1.403190582600434 absolute error 1.503241975342462e-13 relative error 1.0713027823752713e-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) -1.3864859328075738 absolute error 1.5076828674409626e-13 relative error 1.0874130286977626e-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) -1.3697812830145624 y[1] (numeric) -1.3697812830147136 absolute error 1.5121237595394632e-13 relative error 1.1039162078573879e-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) -1.3530766332218533 absolute error 1.5143442055887135e-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) -1.3363719834288412 y[1] (numeric) -1.336371983428993 absolute error 1.5187850976872141e-13 relative error 1.1364987567236633e-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) -1.3196673336359805 y[1] (numeric) -1.3196673336361329 absolute error 1.5232259897857148e-13 relative error 1.1542499772187921e-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) -1.3029626838432726 absolute error 1.525446435834965e-13 relative error 1.1707522055317991e-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) -1.2862580340502594 y[1] (numeric) -1.2862580340504124 absolute error 1.5298873279334657e-13 relative error 1.1894093466736602e-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) -1.2695533842573987 y[1] (numeric) -1.2695533842575522 absolute error 1.5343282200319663e-13 relative error 1.2085574652139915e-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) -1.2528487344645383 y[1] (numeric) -1.252848734464692 absolute error 1.5365486660812167e-13 relative error 1.2264438824994547e-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) -1.2361440846716776 y[1] (numeric) -1.2361440846718317 absolute error 1.5409895581797173e-13 relative error 1.2466099844574407e-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) -1.2194394348788171 y[1] (numeric) -1.2194394348789714 absolute error 1.5432100042289676e-13 relative error 1.2655077079595391e-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) -1.2027347850859564 y[1] (numeric) -1.2027347850861112 absolute error 1.5476508963274682e-13 relative error 1.2867765325477482e-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) -1.1860301352930958 y[1] (numeric) -1.186030135293251 absolute error 1.5520917884259688e-13 relative error 1.3086444789553436e-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) -1.1693254855002353 y[1] (numeric) -1.1693254855003907 absolute error 1.5543122344752192e-13 relative error 1.3292383119575018e-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) -1.1526208357073746 y[1] (numeric) -1.1526208357075305 absolute error 1.5587531265737198e-13 relative error 1.3523554999915456e-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) -1.1359161859146703 absolute error 1.5631940186722204e-13 relative error 1.3761526053207083e-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) -1.1192115361216535 y[1] (numeric) -1.11921153612181 absolute error 1.5654144647214707e-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) -1.1025068863287928 y[1] (numeric) -1.1025068863289498 absolute error 1.5698553568199713e-13 relative error 1.4238961917484156e-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) -1.0858022365360895 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) -1.0690975867430716 y[1] (numeric) -1.0690975867432293 absolute error 1.5765166949677223e-13 relative error 1.4746237523278546e-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 1.5022502827202255e-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) -1.0356882871573505 y[1] (numeric) -1.0356882871575088 absolute error 1.5831780331154732e-13 relative error 1.5286240587511283e-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) -1.0189836373644898 y[1] (numeric) -1.0189836373646486 absolute error 1.5876189252139739e-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) -1.0022789875716291 y[1] (numeric) -1.0022789875717883 absolute error 1.5920598173124745e-13 relative error 1.5884397827892165e-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 1.6187419104092648e-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 1.5987211554602254e-13 relative error 1.6500889389817288e-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 1.6053824936079764e-13 relative error 1.7161416063308487e-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 1.7521777748530738e-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 1.6131540547803525e-13 relative error 1.7883178400687536e-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 1.6209256159527285e-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 1.9065447552880685e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.49999999999999634 y[1] (closed_form) -0.8352324896430232 y[1] (numeric) -0.835232489643186 absolute error 1.6275869541004795e-13 relative error 1.9486633653297025e-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 1.9925011023118116e-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 1.6353585152728556e-13 relative error 2.0395500349097976e-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 2.0871869664354026e-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 1.6420198534206065e-13 relative error 2.1368950688969037e-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 2.1888124203566936e-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 1.6497914145929826e-13 relative error 2.2446001495100625e-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] -0.41999999999999627 y[1] (closed_form) -0.7015952913001384 y[1] (numeric) -0.7015952913003041 absolute error 1.6564527527407336e-13 relative error 2.3609804302864294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.40999999999999626 y[1] (closed_form) -0.6848906415072777 y[1] (numeric) -0.6848906415074438 absolute error 1.6608936448392342e-13 relative error 2.4250494081566236e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.39999999999999625 y[1] (closed_form) -0.6681859917144172 y[1] (numeric) -0.6681859917145836 absolute error 1.6642243139131097e-13 relative error 2.4906602870303804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.38999999999999624 y[1] (closed_form) -0.6514813419215566 y[1] (numeric) -0.6514813419217234 absolute error 1.667554982986985e-13 relative error 2.5596358263592016e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.37999999999999623 y[1] (closed_form) -0.634776692128696 y[1] (numeric) -0.6347766921288631 absolute error 1.6708856520608606e-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 1.6753265441593612e-13 relative error 2.7105683955998393e-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 1.6786572132332367e-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 1.6819878823071122e-13 relative error 2.8768514894508962e-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 1.6864287744056128e-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 1.6897594434794883e-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 1.6930901125533637e-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] -0.30999999999999617 y[1] (closed_form) -0.5178441435786718 y[1] (numeric) -0.5178441435788415 absolute error 1.6964207816272392e-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] -0.29999999999999616 y[1] (closed_form) -0.5011394937858111 y[1] (numeric) -0.5011394937859812 absolute error 1.7008616737257398e-13 relative error 3.3939884898648486e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.28999999999999615 y[1] (closed_form) -0.48443484399295056 y[1] (numeric) -0.4844348439931204 absolute error 1.6986412276764895e-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] -0.27999999999999614 y[1] (closed_form) -0.46773019420009 y[1] (numeric) -0.46773019420025963 absolute error 1.6964207816272392e-13 relative error 3.6269216797697874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.26999999999999613 y[1] (closed_form) -0.45102554440722936 y[1] (numeric) -0.45102554440739884 absolute error 1.6947554470903015e-13 relative error 3.7575597837095295e-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) -0.43432089461453804 absolute error 1.6925350010410511e-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] -0.24999999999999611 y[1] (closed_form) -0.41761624482150816 y[1] (numeric) -0.41761624482167725 absolute error 1.6908696665041134e-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) -0.40091159502881646 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) -0.38420694523578697 y[1] (numeric) -0.38420694523595567 absolute error 1.6869838859179254e-13 relative error 4.3908209022161927e-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) -0.36750229544292634 y[1] (numeric) -0.3675022954430949 absolute error 1.6853185513809876e-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] -0.20999999999999608 y[1] (closed_form) -0.35079764565006577 y[1] (numeric) -0.3507976456502341 absolute error 1.6830981053317373e-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] -0.19999999999999607 y[1] (closed_form) -0.33409299585720514 y[1] (numeric) -0.3340929958573733 absolute error 1.6814327707947996e-13 relative error 5.0328285586491664e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.18999999999999606 y[1] (closed_form) -0.3173883460643446 y[1] (numeric) -0.3173883460645125 absolute error 1.6792123247455493e-13 relative error 5.2907182811467195e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.17999999999999605 y[1] (closed_form) -0.30068369627148395 y[1] (numeric) -0.3006836962716517 absolute error 1.6775469902086115e-13 relative error 5.5791085815772766e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -0.16999999999999604 y[1] (closed_form) -0.2839790464786234 y[1] (numeric) -0.2839790464787909 absolute error 1.6753265441593612e-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] -0.15999999999999603 y[1] (closed_form) -0.26727439668576275 y[1] (numeric) -0.2672743966859301 absolute error 1.6736612096224235e-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] -0.14999999999999603 y[1] (closed_form) -0.2505697468929022 y[1] (numeric) -0.2505697468930693 absolute error 1.6714407635731732e-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] -0.13999999999999602 y[1] (closed_form) -0.23386509710004155 y[1] (numeric) -0.2338650971002088 absolute error 1.6725509865977983e-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) -0.21716044730718095 y[1] (numeric) -0.2171604473073483 absolute error 1.6733836538662672e-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) -0.20045579751432036 y[1] (numeric) -0.20045579751448778 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] -0.10999999999999599 y[1] (closed_form) -0.18375114772145976 y[1] (numeric) -0.18375114772162726 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) -0.16704649792859916 y[1] (numeric) -0.16704649792876675 absolute error 1.6758816556716738e-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) -0.15034184813573856 y[1] (numeric) -0.15034184813590623 absolute error 1.6767143229401427e-13 relative error 1.1152678670188318e-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) -0.13363719834287796 y[1] (numeric) -0.13363719834304572 absolute error 1.6775469902086115e-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) -0.11693254855001735 y[1] (numeric) -0.11693254855018513 absolute error 1.6778245459647678e-13 relative error 1.4348652849613435e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] -0.059999999999995945 y[1] (closed_form) -0.10022789875715675 y[1] (numeric) -0.10022789875732448 absolute error 1.6772694344524552e-13 relative error 1.6734556498249349e-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 1.6768531008182208e-13 relative error 2.0076483154229655e-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 1.6762979893059082e-13 relative error 2.5087296203337847e-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 1.6762979893059082e-13 relative error 3.3449728271118275e-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) -0.033409299585881985 absolute error 1.6764367671839864e-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) 6.8503869435220015e-15 y[1] (numeric) -1.6081537143608493e-13 absolute error 1.6766575837960694e-13 relative error 2447.5370480810334% Desired digits 8 Estimated correct digits -1 Correct digits 0 h 0.001 TOP MAIN SOLVE Loop x[1] 0.010000000000004103 y[1] (closed_form) 0.01670464979286744 y[1] (numeric) 0.016704649792699772 absolute error 1.6766796284706231e-13 relative error 1.0037203109678676e-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 1.6767837118791817e-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) 0.050113949378588644 y[1] (numeric) 0.050113949378420945 absolute error 1.676991878696299e-13 relative error 3.3463574503525347e-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 2.5097680877644866e-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 1.6764367671839864e-13 relative error 2.0071498510556518e-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) 0.10022789875717045 y[1] (numeric) 0.10022789875700286 absolute error 1.6758816556716738e-13 relative error 1.6720710265830839e-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) 0.11693254855003105 y[1] (numeric) 0.11693254854986351 absolute error 1.6753265441593612e-13 relative error 1.4327290091026724e-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) 0.13363719834289164 y[1] (numeric) 0.13363719834272408 absolute error 1.6756040999155175e-13 relative error 1.2538455764510908e-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) 0.15034184813575224 y[1] (numeric) 0.1503418481355846 absolute error 1.6764367671839864e-13 relative error 1.1150832505865139e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000418 y[1] (closed_form) 0.16704649792861284 y[1] (numeric) 0.16704649792844511 absolute error 1.6772694344524552e-13 relative error 1.0040733898948511e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000419 y[1] (closed_form) 0.18375114772147344 y[1] (numeric) 0.18375114772130563 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) 0.20045579751433407 y[1] (numeric) 0.20045579751416615 absolute error 1.6792123247455493e-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) 0.21716044730719464 y[1] (numeric) 0.21716044730702666 absolute error 1.6797674362578618e-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) 0.23386509710005524 y[1] (numeric) 0.23386509709988718 absolute error 1.6806001035263307e-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) 0.25056974689291583 y[1] (numeric) 0.2505697468927477 absolute error 1.6814327707947996e-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] 0.16000000000000422 y[1] (closed_form) 0.26727439668577646 y[1] (numeric) 0.2672743966856085 absolute error 1.6797674362578618e-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] 0.17000000000000423 y[1] (closed_form) 0.28397904647863703 y[1] (numeric) 0.2839790464784693 absolute error 1.6775469902086115e-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] 0.18000000000000424 y[1] (closed_form) 0.30068369627149766 y[1] (numeric) 0.30068369627133007 absolute error 1.6758816556716738e-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] 0.19000000000000425 y[1] (closed_form) 0.31738834606435823 y[1] (numeric) 0.31738834606419086 absolute error 1.6736612096224235e-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] 0.20000000000000426 y[1] (closed_form) 0.33409299585721886 y[1] (numeric) 0.33409299585705166 absolute error 1.6719958750854857e-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] 0.21000000000000427 y[1] (closed_form) 0.3507976456500794 y[1] (numeric) 0.35079764564991245 absolute error 1.6697754290362354e-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] 0.22000000000000428 y[1] (closed_form) 0.36750229544294005 y[1] (numeric) 0.36750229544277324 absolute error 1.6681100944992977e-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] 0.23000000000000428 y[1] (closed_form) 0.3842069452358006 y[1] (numeric) 0.38420694523563403 absolute error 1.6658896484500474e-13 relative error 4.3359175806351844e-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) 0.40091159502866125 y[1] (numeric) 0.4009115950284948 absolute error 1.6642243139131097e-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 1.6620038678638593e-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 3.8215601468777366e-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 1.6581180872776713e-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 1.6542323066914832e-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 1.6553425297161084e-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] 0.32000000000000434 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] 0.33000000000000435 y[1] (closed_form) 0.5512534431644066 y[1] (numeric) 0.5512534431642403 absolute error 1.6631140908884845e-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] 0.34000000000000435 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] 0.35000000000000436 y[1] (closed_form) 0.5846627427501279 y[1] (numeric) 0.5846627427499608 absolute error 1.6708856520608606e-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] 0.36000000000000437 y[1] (closed_form) 0.6013673925429884 y[1] (numeric) 0.601367392542821 absolute error 1.674216321134736e-13 relative error 2.7840157978220536e-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 1.6775469902086115e-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 2.6479826372416117e-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 1.6853185513809876e-13 relative error 2.5869022532710962e-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 2.5272143406091604e-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 1.6919798895287386e-13 relative error 2.4704380334429284e-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 2.4163653599512787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000443 y[1] (closed_form) 0.7182999410930127 y[1] (numeric) 0.7182999410928427 absolute error 1.6997514507011147e-13 relative error 2.3663533204731447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.44000000000000444 y[1] (closed_form) 0.7350045908858732 y[1] (numeric) 0.7350045908857029 absolute error 1.7030821197749901e-13 relative error 2.3171040574349742e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.45000000000000445 y[1] (closed_form) 0.7517092406787338 y[1] (numeric) 0.7517092406785632 absolute error 1.7064127888488656e-13 relative error 2.2700436505318335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.46000000000000446 y[1] (closed_form) 0.7684138904715945 y[1] (numeric) 0.7684138904714234 absolute error 1.7108536809473662e-13 relative error 2.2264741725287832e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000447 y[1] (closed_form) 0.785118540264455 y[1] (numeric) 0.7851185402642836 absolute error 1.7141843500212417e-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 1.7175150190951172e-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 1.7208456881689926e-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 1.7275070263167436e-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 1.9925793541747286e-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) 0.885346439021445 absolute error 1.7352785874891197e-13 relative error 1.9599995109335356e-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 1.7386092565629951e-13 relative error 1.9273955523383524e-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 1.7419399256368706e-13 relative error 1.8959771922375393e-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 1.7497114868092467e-13 relative error 1.8376136663552598e-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 1.7530421558831222e-13 relative error 1.8093683573973007e-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 1.7563728249569976e-13 relative error 1.7820805165396116e-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) 1.0022789875716427 y[1] (numeric) 1.0022789875714668 absolute error 1.758593271006248e-13 relative error 1.7545945717838808e-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) 1.0189836373645034 y[1] (numeric) 1.018983637364327 absolute error 1.7630341631047486e-13 relative error 1.7301888847446614e-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) 1.0356882871571873 absolute error 1.7674750552032492e-13 relative error 1.7065704779325135e-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) 1.0523929369502245 y[1] (numeric) 1.0523929369500475 absolute error 1.7696955012524995e-13 relative error 1.6815919597303433e-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) 1.0690975867430852 y[1] (numeric) 1.0690975867429078 absolute error 1.7741363933510002e-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) 1.0858022365359457 y[1] (numeric) 1.085802236535768 absolute error 1.7763568394002505e-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) 1.1025068863288063 y[1] (numeric) 1.1025068863286283 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) 1.1192115361214885 absolute error 1.7852386235972517e-13 relative error 1.5950859743489834e-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) 1.1359161859145275 y[1] (numeric) 1.1359161859143487 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) 1.1526208357073882 y[1] (numeric) 1.152620835707209 absolute error 1.7918999617450027e-13 relative error 1.5546308952894083e-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) 1.1693254855002488 y[1] (numeric) 1.1693254855000692 absolute error 1.7963408538435033e-13 relative error 1.5362197062480093e-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) 1.1860301352931093 y[1] (numeric) 1.1860301352929294 absolute error 1.7985612998927536e-13 relative error 1.5164549756134708e-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) 1.2027347850857897 absolute error 1.8030021919912542e-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) 1.2194394348788307 y[1] (numeric) 1.21943943487865 absolute error 1.8074430840897548e-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) 1.2361440846716911 y[1] (numeric) 1.2361440846715102 absolute error 1.8096635301390052e-13 relative error 1.4639584111423674e-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) 1.2528487344645518 y[1] (numeric) 1.2528487344643704 absolute error 1.8141044222375058e-13 relative error 1.4479836011590226e-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) 1.2695533842574123 y[1] (numeric) 1.2695533842572306 absolute error 1.816324868286756e-13 relative error 1.4306801831331903e-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) 1.2862580340500909 absolute error 1.8207657603852567e-13 relative error 1.4155524880586229e-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) 1.3029626838431336 y[1] (numeric) 1.302962683842951 absolute error 1.8252066524837574e-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) 1.3196673336358113 absolute error 1.8274270985330077e-13 relative error 1.3847634566341928e-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) 1.3363719834288548 y[1] (numeric) 1.3363719834286716 absolute error 1.8318679906315083e-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) 1.3530766332217155 y[1] (numeric) 1.3530766332215318 absolute error 1.836308882730009e-13 relative error 1.3571359061590644e-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 1.8385293287792592e-13 relative error 1.3422064906107315e-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) 1.3864859328074366 y[1] (numeric) 1.3864859328072523 absolute error 1.8429702208777599e-13 relative error 1.3292383119574878e-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) 1.4031905826002973 y[1] (numeric) 1.4031905826001125 absolute error 1.8474111129762605e-13 relative error 1.3165788994626546e-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) 1.4198952323931577 y[1] (numeric) 1.4198952323929728 absolute error 1.8496315590255108e-13 relative error 1.3026535457183383e-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) 1.4365998821860184 y[1] (numeric) 1.436599882185833 absolute error 1.8540724511240114e-13 relative error 1.2905976633540726e-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) 1.4533045319788789 y[1] (numeric) 1.4533045319786932 absolute error 1.8562928971732617e-13 relative error 1.2772910675821381e-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) 1.4700091817717396 y[1] (numeric) 1.4700091817715535 absolute error 1.8607337892717624e-13 relative error 1.2657973925231535e-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) 1.4867138315646002 y[1] (numeric) 1.4867138315644137 absolute error 1.865174681370263e-13 relative error 1.2545620022969552e-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) 1.5034184813574607 y[1] (numeric) 1.503418481357274 absolute error 1.8673951274195133e-13 relative error 1.2420993559513864e-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) 1.5201231311503214 y[1] (numeric) 1.5201231311501342 absolute error 1.871836019518014e-13 relative error 1.2313713153628161e-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) 1.5368277809429944 absolute error 1.8762769116165146e-13 relative error 1.2208764930479105e-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) 1.5535324307360425 y[1] (numeric) 1.5535324307358547 absolute error 1.8784973576657649e-13 relative error 1.2091780773290702e-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) 1.5702370805289032 y[1] (numeric) 1.570237080528715 absolute error 1.8829382497642655e-13 relative error 1.1991426473829259e-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) 1.5869417303217639 y[1] (numeric) 1.5869417303215752 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) 1.6036463801146243 y[1] (numeric) 1.6036463801144354 absolute error 1.8895995879120164e-13 relative error 1.1783143786206488e-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) 1.6203510299072956 absolute error 1.894040480010517e-13 relative error 1.1689075052574617e-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) 1.6370556797003455 y[1] (numeric) 1.6370556797001559 absolute error 1.8962609260597674e-13 relative error 1.1583362432772403e-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) 1.6537603294932062 y[1] (numeric) 1.653760329493016 absolute error 1.900701818158268e-13 relative error 1.1493212071066772e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000049 y[1] (closed_form) 1.6704649792860669 y[1] (numeric) 1.6704649792858763 absolute error 1.9051427102567686e-13 relative error 1.1404864716595254e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0100000000000038 y[1] (closed_form) 1.6871696290789255 y[1] (numeric) 1.6871696290787366 absolute error 1.8895995879120164e-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] 1.0200000000000027 y[1] (closed_form) 1.7038742788717842 y[1] (numeric) 1.7038742788715968 absolute error 1.8740564655672642e-13 relative error 1.0998795444040424e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0300000000000016 y[1] (closed_form) 1.7205789286646431 y[1] (numeric) 1.720578928664457 absolute error 1.8607337892717624e-13 relative error 1.0814579664275528e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y[1] (closed_form) 1.7372835784575018 y[1] (numeric) 1.7372835784573173 absolute error 1.8451906669270102e-13 relative error 1.0621125358044982e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999994 y[1] (closed_form) 1.7539882282503605 y[1] (numeric) 1.7539882282501775 absolute error 1.829647544582258e-13 relative error 1.0431355895742638e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999983 y[1] (closed_form) 1.7706928780432192 y[1] (numeric) 1.7706928780430378 absolute error 1.8141044222375058e-13 relative error 1.0245166989332789e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999972 y[1] (closed_form) 1.787397527836078 y[1] (numeric) 1.787397527835898 absolute error 1.800781745942004e-13 relative error 1.0074881037360109e-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) 1.8041021776289368 y[1] (numeric) 1.8041021776287582 absolute error 1.7852386235972517e-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) 1.8208068274217954 y[1] (numeric) 1.8208068274216185 absolute error 1.7696955012524995e-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] 1.0999999999999939 y[1] (closed_form) 1.8375114772146544 y[1] (numeric) 1.8375114772144787 absolute error 1.7563728249569976e-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] 1.1099999999999928 y[1] (closed_form) 1.854216127007513 y[1] (numeric) 1.854216127007339 absolute error 1.7408297026122455e-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] 1.1199999999999917 y[1] (closed_form) 1.8709207768003717 y[1] (numeric) 1.8709207768001992 absolute error 1.7252865802674933e-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] 1.1299999999999906 y[1] (closed_form) 1.8876254265932304 y[1] (numeric) 1.8876254265930594 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] 1.1399999999999895 y[1] (closed_form) 1.9043300763860893 y[1] (numeric) 1.9043300763859197 absolute error 1.6964207816272392e-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] 1.1499999999999884 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] 1.1599999999999873 y[1] (closed_form) 1.9377393759718067 y[1] (numeric) 1.9377393759716401 absolute error 1.6653345369377348e-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] 1.1699999999999862 y[1] (closed_form) 1.9544440257646656 y[1] (numeric) 1.9544440257645004 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) 1.9711486755575243 y[1] (numeric) 1.9711486755573606 absolute error 1.6364687382974807e-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) 1.9878533253502209 absolute error 1.6209256159527285e-13 relative error 8.1541509893192e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999829 y[1] (closed_form) 2.004557975143242 y[1] (numeric) 2.004557975143081 absolute error 1.6076029396572267e-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] 1.2099999999999818 y[1] (closed_form) 2.0212626249361003 y[1] (numeric) 2.0212626249359413 absolute error 1.5898393712632242e-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] 1.2199999999999807 y[1] (closed_form) 2.037967274728959 y[1] (numeric) 2.0379672747288016 absolute error 1.5765166949677223e-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] 1.2299999999999796 y[1] (closed_form) 2.054671924521818 y[1] (numeric) 2.054671924521662 absolute error 1.5631940186722204e-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] 1.2399999999999785 y[1] (closed_form) 2.0713765743146766 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] 1.2499999999999774 y[1] (closed_form) 2.0880812241075355 y[1] (numeric) 2.0880812241073823 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] 1.2599999999999763 y[1] (closed_form) 2.1047858739003944 y[1] (numeric) 2.1047858739002425 absolute error 1.5187850976872141e-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] 1.2699999999999751 y[1] (closed_form) 2.121490523693253 y[1] (numeric) 2.1214905236931028 absolute error 1.5010215292932116e-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) 2.1381951734861118 y[1] (numeric) 2.138195173485963 absolute error 1.4876988529977098e-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) 2.1548998232789707 y[1] (numeric) 2.1548998232788232 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] 1.2999999999999718 y[1] (closed_form) 2.171604473071829 y[1] (numeric) 2.1716044730716835 absolute error 1.4566126083082054e-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] 1.3099999999999707 y[1] (closed_form) 2.188309122864688 y[1] (numeric) 2.1883091228645437 absolute error 1.4432899320127035e-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] 1.3199999999999696 y[1] (closed_form) 2.2050137726575465 y[1] (numeric) 2.205013772657404 absolute error 1.425526363618701e-13 relative error 6.4649317899752405e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999685 y[1] (closed_form) 2.2217184224504054 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] 1.3399999999999674 y[1] (closed_form) 2.2384230722432643 y[1] (numeric) 2.2384230722431244 absolute error 1.3988810110276972e-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] 1.3499999999999663 y[1] (closed_form) 2.2551277220361228 y[1] (numeric) 2.2551277220359847 absolute error 1.3811174426336947e-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] 1.3599999999999652 y[1] (closed_form) 2.2718323718289817 y[1] (numeric) 2.271832371828845 absolute error 1.3677947663381929e-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] 1.3699999999999641 y[1] (closed_form) 2.2885370216218406 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) 2.3052416714145654 absolute error 1.3367085216486885e-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) 2.3219463212074256 absolute error 1.3233858453531866e-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] 1.3999999999999608 y[1] (closed_form) 2.338650971000417 y[1] (numeric) 2.338650971000286 absolute error 1.3100631690576847e-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] 1.4099999999999597 y[1] (closed_form) 2.3553556207932753 y[1] (numeric) 2.355355620793146 absolute error 1.2922996006636822e-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] 1.4199999999999586 y[1] (closed_form) 2.3720602705861342 y[1] (numeric) 2.3720602705860063 absolute error 1.2789769243681803e-13 relative error 5.3918399132925325e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999575 y[1] (closed_form) 2.3887649203789927 y[1] (numeric) 2.3887649203788666 absolute error 1.2612133559741778e-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] 1.4399999999999564 y[1] (closed_form) 2.4054695701718516 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] 1.4499999999999553 y[1] (closed_form) 2.4221742199647105 y[1] (numeric) 2.422174219964587 absolute error 1.234568003383174e-13 relative error 5.0969413892992425e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999542 y[1] (closed_form) 2.438878869757569 y[1] (numeric) 2.4388788697574473 absolute error 1.2168044349891716e-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] 1.4699999999999531 y[1] (closed_form) 2.455583519550428 y[1] (numeric) 2.4555835195503075 absolute error 1.2034817586936697e-13 relative error 4.9010011229999016e-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) 2.4722881693432868 y[1] (numeric) 2.4722881693431678 absolute error 1.1901590823981678e-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) 2.4889928191361452 y[1] (numeric) 2.488992819136028 absolute error 1.1723955140041653e-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] 1.4999999999999498 y[1] (closed_form) 2.505697468929004 y[1] (numeric) 2.5056974689288882 absolute error 1.1590728377086634e-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] 1.5099999999999487 y[1] (closed_form) 2.522402118721863 y[1] (numeric) 2.5224021187217485 absolute error 1.1457501614131615e-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] 1.5199999999999476 y[1] (closed_form) 2.5391067685147215 y[1] (numeric) 2.5391067685146087 absolute error 1.127986593019159e-13 relative error 4.4424543583844146e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999465 y[1] (closed_form) 2.5558114183075804 y[1] (numeric) 2.555811418307469 absolute error 1.1146639167236572e-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] 1.5399999999999454 y[1] (closed_form) 2.5725160681004393 y[1] (numeric) 2.572516068100329 absolute error 1.1013412404281553e-13 relative error 4.2811831346165004e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999443 y[1] (closed_form) 2.5892207178932978 y[1] (numeric) 2.5892207178931894 absolute error 1.0835776720341528e-13 relative error 4.1849567499050395e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999432 y[1] (closed_form) 2.6059253676861567 y[1] (numeric) 2.6059253676860497 absolute error 1.0702549957386509e-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 1.0524914273446484e-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 1.0391687510491465e-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) 2.6560393170646304 absolute error 1.0258460747536446e-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] 1.5999999999999388 y[1] (closed_form) 2.6727439668575914 y[1] (numeric) 2.6727439668574906 absolute error 1.0080825063596421e-13 relative error 3.7717137101795375e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999377 y[1] (closed_form) 2.6894486166504503 y[1] (numeric) 2.689448616650351 absolute error 9.947598300641403e-14 relative error 3.6987500854470866e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999366 y[1] (closed_form) 2.7061532664433092 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] 1.6299999999999355 y[1] (closed_form) 2.7228579162361677 y[1] (numeric) 2.7228579162360713 absolute error 9.636735853746359e-14 relative error 3.5391989410403426e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999344 y[1] (closed_form) 2.7395625660290266 y[1] (numeric) 2.7395625660289316 absolute error 9.50350909079134e-14 relative error 3.4689877897428704e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999333 y[1] (closed_form) 2.7562672158218855 y[1] (numeric) 2.756267215821792 absolute error 9.370282327836321e-14 relative error 3.3996276827035496e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999322 y[1] (closed_form) 2.772971865614744 y[1] (numeric) 2.772971865614652 absolute error 9.192646643896296e-14 relative error 3.3150883201832865e-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) 2.7896765154075123 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) 2.8063811652004618 y[1] (numeric) 2.8063811652003725 absolute error 8.926193117986259e-14 relative error 3.1806773893269962e-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) 2.8230858149933202 y[1] (numeric) 2.8230858149932327 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] 1.6999999999999278 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] 1.7099999999999267 y[1] (closed_form) 2.8564951145790376 y[1] (numeric) 2.856495114578953 absolute error 8.43769498715119e-14 relative error 2.9538629154612276e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999256 y[1] (closed_form) 2.8731997643718965 y[1] (numeric) 2.8731997643718135 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] 1.7299999999999245 y[1] (closed_form) 2.8899044141647554 y[1] (numeric) 2.8899044141646737 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] 1.7399999999999234 y[1] (closed_form) 2.906609063957614 y[1] (numeric) 2.906609063957534 absolute error 7.993605777301127e-14 relative error 2.7501482316363187e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999223 y[1] (closed_form) 2.9233137137504728 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] 1.7599999999999212 y[1] (closed_form) 2.9400183635433317 y[1] (numeric) 2.9400183635432544 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) 2.9567230133361146 absolute error 7.549516567451064e-14 relative error 2.5533391303139484e-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 2.4941887426619305e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999179 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] 1.7999999999999168 y[1] (closed_form) 3.0068369627147664 y[1] (numeric) 3.0068369627146954 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] 1.8099999999999157 y[1] (closed_form) 3.0235416125076253 y[1] (numeric) 3.0235416125075556 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] 1.8199999999999146 y[1] (closed_form) 3.0402462623004842 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] 1.8299999999999135 y[1] (closed_form) 3.0569509120933427 y[1] (numeric) 3.056950912093276 absolute error 6.661338147750939e-14 relative error 2.1790791999304235e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999124 y[1] (closed_form) 3.0736555618862016 y[1] (numeric) 3.0736555618861363 absolute error 6.52811138479592e-14 relative error 2.1238916506278385e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999113 y[1] (closed_form) 3.09036021167906 y[1] (numeric) 3.0903602116789965 absolute error 6.350475700855895e-14 relative error 2.0549305795668213e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999102 y[1] (closed_form) 3.107064861471919 y[1] (numeric) 3.107064861471857 absolute error 6.217248937900877e-14 relative error 2.0010039104737455e-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 1.9476539971998474e-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) 3.1404741610576363 y[1] (numeric) 3.1404741610575773 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] 1.8899999999999069 y[1] (closed_form) 3.1571788108504952 y[1] (numeric) 3.1571788108504375 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] 1.8999999999999058 y[1] (closed_form) 3.173883460643354 y[1] (numeric) 3.1738834606432977 absolute error 5.639932965095795e-14 relative error 1.7769817433537924e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999047 y[1] (closed_form) 3.1905881104362126 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] 1.9199999999999036 y[1] (closed_form) 3.2072927602290715 y[1] (numeric) 3.207292760229018 absolute error 5.3290705182007514e-14 relative error 1.6615478899469526e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999999025 y[1] (closed_form) 3.2239974100219304 y[1] (numeric) 3.2239974100218785 absolute error 5.1958437552457326e-14 relative error 1.6116153626842986e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999999014 y[1] (closed_form) 3.240702059814789 y[1] (numeric) 3.2407020598147387 absolute error 5.0182080713057076e-14 relative error 1.5484941159918001e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999999003 y[1] (closed_form) 3.2574067096076478 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] 1.9599999999998992 y[1] (closed_form) 3.2741113594005067 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) 3.2908160091933194 absolute error 4.574118861455645e-14 relative error 1.3899649353464885e-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) 3.3075206589861796 absolute error 4.440892098500626e-14 relative error 1.3426649615732975e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998959 y[1] (closed_form) 3.3242253087790825 y[1] (numeric) 3.32422530877904 absolute error 4.263256414560601e-14 relative error 1.2824811854062939e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998948 y[1] (closed_form) 3.3409299585719414 y[1] (numeric) 3.3409299585719 absolute error 4.1300296516055823e-14 relative error 1.2361916301205357e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998936 y[1] (closed_form) 3.3576346083648003 y[1] (numeric) 3.3576346083647604 absolute error 3.9968028886505635e-14 relative error 1.1903626674246857e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998925 y[1] (closed_form) 3.374339258157659 y[1] (numeric) 3.3743392581576206 absolute error 3.8191672047105385e-14 relative error 1.1318266814688187e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998914 y[1] (closed_form) 3.3910439079505177 y[1] (numeric) 3.391043907950481 absolute error 3.68594044175552e-14 relative error 1.0869633486943646e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998903 y[1] (closed_form) 3.4077485577433766 y[1] (numeric) 3.407748557743341 absolute error 3.552713678800501e-14 relative error 1.0425398525157386e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998892 y[1] (closed_form) 3.424453207536235 y[1] (numeric) 3.4244532075362013 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) 3.4411578573290615 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) 3.4745671569148113 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) 3.4912718067076702 y[1] (numeric) 3.4912718067076423 absolute error 2.7977620220553945e-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] 2.0999999999998837 y[1] (closed_form) 3.507976456500529 y[1] (numeric) 3.5079764565005025 absolute error 2.6645352591003757e-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] 2.1099999999998826 y[1] (closed_form) 3.5246811062933876 y[1] (numeric) 3.5246811062933627 absolute error 2.4868995751603507e-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] 2.1199999999998815 y[1] (closed_form) 3.5413857560862465 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] 2.1299999999998804 y[1] (closed_form) 3.558090405879105 y[1] (numeric) 3.558090405879083 absolute error 2.1760371282653068e-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] 2.1399999999998793 y[1] (closed_form) 3.574795055671964 y[1] (numeric) 3.5747950556719434 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] 2.1499999999998782 y[1] (closed_form) 3.591499705464823 y[1] (numeric) 3.5914997054648037 absolute error 1.9095836023552692e-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) 3.6082043552576812 y[1] (numeric) 3.608204355257664 absolute error 1.7319479184152442e-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 1.5987211554602254e-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) 3.6416136548433844 absolute error 1.4654943925052066e-14 relative error 4.0242994765687945e-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) 3.6583183046362575 y[1] (numeric) 3.6583183046362446 absolute error 1.2878587085651816e-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] 2.1999999999998727 y[1] (closed_form) 3.6750229544291164 y[1] (numeric) 3.675022954429105 absolute error 1.1546319456101628e-14 relative error 3.1418360100815347e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998716 y[1] (closed_form) 3.6917276042219753 y[1] (numeric) 3.691727604221965 absolute error 1.021405182655144e-14 relative error 2.7667403778302414e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998705 y[1] (closed_form) 3.708432254014834 y[1] (numeric) 3.7084322540148253 absolute error 8.43769498715119e-15 relative error 2.2752727862336833e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998694 y[1] (closed_form) 3.7251369038076927 y[1] (numeric) 3.7251369038076856 absolute error 7.105427357601002e-15 relative error 1.9074271741095222e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998683 y[1] (closed_form) 3.7418415536005516 y[1] (numeric) 3.741841553600546 absolute error 5.773159728050814e-15 relative error 1.5428658978078978e-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 3.9968028886505635e-15 relative error 1.0633906495660591e-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) 3.7752508531862663 absolute error 2.6645352591003757e-15 relative error 7.05790254136765e-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) 3.7919555029791274 y[1] (numeric) 3.7919555029791265 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) 3.8086601527719863 y[1] (numeric) 3.8086601527719868 absolute error 4.440892098500626e-16 relative error 1.1659985192610305e-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) 3.8253648025648452 y[1] (numeric) 3.825364802564847 absolute error 1.7763568394002505e-15 relative error 4.6436272906814844e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998617 y[1] (closed_form) 3.8420694523577037 y[1] (numeric) 3.8420694523577072 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] 2.3099999999998606 y[1] (closed_form) 3.8587741021505626 y[1] (numeric) 3.8587741021505675 absolute error 4.884981308350689e-15 relative error 1.2659412494834054e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998595 y[1] (closed_form) 3.8754787519434215 y[1] (numeric) 3.8754787519434277 absolute error 6.217248937900877e-15 relative error 1.6042531351212121e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998584 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] 2.3399999999998573 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) 3.9255927013220084 absolute error 1.0658141036401503e-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) 3.9422973511148562 y[1] (numeric) 3.9422973511148687 absolute error 1.2434497875801753e-14 relative error 3.1541248080349285e-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 1.3766765505351941e-14 relative error 3.4773322928848014e-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) 3.9924113004934325 y[1] (numeric) 3.9924113004934494 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] 2.3999999999998507 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] 2.4099999999998496 y[1] (closed_form) 4.02582060007915 y[1] (numeric) 4.02582060007917 absolute error 1.9539925233402755e-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] 2.4199999999998485 y[1] (closed_form) 4.042525249872009 y[1] (numeric) 4.04252524987203 absolute error 2.1316282072803006e-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] 2.4299999999998474 y[1] (closed_form) 4.059229899664867 y[1] (numeric) 4.05922989966489 absolute error 2.3092638912203256e-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] 2.4399999999998463 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 2.5757174171303632e-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) 4.1093438490434435 y[1] (numeric) 4.109343849043471 absolute error 2.7533531010703882e-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) 4.1427531486291915 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] 2.4999999999998397 y[1] (closed_form) 4.176162448214879 y[1] (numeric) 4.176162448214912 absolute error 3.2862601528904634e-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] 2.5099999999998386 y[1] (closed_form) 4.192867098007738 y[1] (numeric) 4.192867098007772 absolute error 3.4638958368304884e-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] 2.5199999999998375 y[1] (closed_form) 4.209571747800596 y[1] (numeric) 4.2095717478006325 absolute error 3.6415315207705135e-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] 2.5299999999998364 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] 2.5399999999998353 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 4.1744385725905886e-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 4.3520742565306136e-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 1.0510256420129723e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998298 y[1] (closed_form) 4.326504296350607 y[1] (numeric) 4.326504296350654 absolute error 4.707345624410664e-14 relative error 1.0880251819884463e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998287 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] 2.6099999999998276 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] 2.6199999999998265 y[1] (closed_form) 4.376618245729183 y[1] (numeric) 4.376618245729235 absolute error 5.1514348342607263e-14 relative error 1.1770354518097686e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998254 y[1] (closed_form) 4.393322895522043 y[1] (numeric) 4.393322895522095 absolute error 5.240252676230739e-14 relative error 1.1927765841140294e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998243 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 5.684341886080802e-14 relative error 1.2792669468463969e-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 1.3490776897479966e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998188 y[1] (closed_form) 4.493550794279195 y[1] (numeric) 4.4935507942792565 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] 2.6999999999998177 y[1] (closed_form) 4.510255444072054 y[1] (numeric) 4.510255444072117 absolute error 6.306066779870889e-14 relative error 1.3981617799850155e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998166 y[1] (closed_form) 4.526960093864912 y[1] (numeric) 4.526960093864977 absolute error 6.483702463810914e-14 relative error 1.4322420187882471e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998155 y[1] (closed_form) 4.5436647436577715 y[1] (numeric) 4.543664743657837 absolute error 6.572520305780927e-14 relative error 1.4465240453656078e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998144 y[1] (closed_form) 4.56036939345063 y[1] (numeric) 4.5603693934506975 absolute error 6.750155989720952e-14 relative error 1.4801774609344545e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998133 y[1] (closed_form) 4.577074043243488 y[1] (numeric) 4.577074043243558 absolute error 6.927791673660977e-14 relative error 1.5135852311341855e-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 1.5604101922980362e-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 7.37188088351104e-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] 2.7899999999998077 y[1] (closed_form) 4.6605972922077825 y[1] (numeric) 4.660597292207859 absolute error 7.638334409421077e-14 relative error 1.6389174885785302e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998066 y[1] (closed_form) 4.677301942000641 y[1] (numeric) 4.677301942000719 absolute error 7.815970093361102e-14 relative error 1.6710424493181097e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998055 y[1] (closed_form) 4.6940065917935 y[1] (numeric) 4.694006591793579 absolute error 7.904787935331115e-14 relative error 1.6840172208430644e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998044 y[1] (closed_form) 4.710711241586359 y[1] (numeric) 4.71071124158644 absolute error 8.08242361927114e-14 relative error 1.7157544168530563e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999998033 y[1] (closed_form) 4.727415891379217 y[1] (numeric) 4.7274158913793 absolute error 8.260059303211165e-14 relative error 1.7472673217251685e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999998022 y[1] (closed_form) 4.744120541172077 y[1] (numeric) 4.74412054117216 absolute error 8.348877145181177e-14 relative error 1.7598366383663838e-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 1.7909737255849608e-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) 4.7775298407577935 y[1] (numeric) 4.777529840757881 absolute error 8.704148513061227e-14 relative error 1.8218930709348764e-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 1.8646259653849507e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997967 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] 2.8999999999997956 y[1] (closed_form) 4.844348439929228 y[1] (numeric) 4.8443484399293215 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] 2.9099999999997945 y[1] (closed_form) 4.861053089722088 y[1] (numeric) 4.861053089722182 absolute error 9.414691248821327e-14 relative error 1.9367596023024666e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997934 y[1] (closed_form) 4.877757739514946 y[1] (numeric) 4.877757739515042 absolute error 9.592326932761353e-14 relative error 1.9665443519372557e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997923 y[1] (closed_form) 4.8944623893078045 y[1] (numeric) 4.894462389307902 absolute error 9.769962616701378e-14 relative error 1.9961257927008172e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997912 y[1] (closed_form) 4.911167039100664 y[1] (numeric) 4.9111670391007625 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 1.0036416142611415e-13 relative error 2.0366634474740024e-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 2.0657081875016607e-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 1.0302869668521453e-13 relative error 2.0766551405667404e-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 1.0480505352461478e-13 relative error 2.1053707491408816e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997857 y[1] (closed_form) 4.994690288064957 y[1] (numeric) 4.994690288065064 absolute error 1.0658141036401503e-13 relative error 2.1338942800656976e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997846 y[1] (closed_form) 5.011394937857816 y[1] (numeric) 5.011394937857924 absolute error 1.0746958878371515e-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] 3.0099999999997835 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] 3.0199999999997824 y[1] (closed_form) 5.044804237443533 y[1] (numeric) 5.044804237443644 absolute error 1.1102230246251565e-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] 3.0299999999997813 y[1] (closed_form) 5.061508887236393 y[1] (numeric) 5.061508887236505 absolute error 1.1191048088221578e-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 1.1368683772161603e-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 1.1546319456101628e-13 relative error 2.2662423679276974e-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 1.1812772982011666e-13 relative error 2.3034357718613647e-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 2.3304827547308434e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997747 y[1] (closed_form) 5.161736785993545 y[1] (numeric) 5.161736785993666 absolute error 1.2079226507921703e-13 relative error 2.3401477077829454e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997736 y[1] (closed_form) 5.178441435786404 y[1] (numeric) 5.178441435786526 absolute error 1.2256862191861728e-13 relative error 2.3669017683890035e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997725 y[1] (closed_form) 5.195146085579262 y[1] (numeric) 5.1951460855793865 absolute error 1.2434497875801753e-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] 3.1199999999997714 y[1] (closed_form) 5.2118507353721215 y[1] (numeric) 5.211850735372247 absolute error 1.2523315717771766e-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] 3.1299999999997703 y[1] (closed_form) 5.22855538516498 y[1] (numeric) 5.228555385165107 absolute error 1.270095140171179e-13 relative error 2.4291511643442273e-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 1.2878587085651816e-13 relative error 2.4552809583930064e-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) 5.2619646847508275 absolute error 1.305622276959184e-13 relative error 2.4812448489875075e-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 1.3145040611561853e-13 relative error 2.4902186097433393e-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 1.3322676295501878e-13 relative error 2.5159084768913443e-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 1.3500311979441904e-13 relative error 2.5414367725478524e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997637 y[1] (closed_form) 5.3287832839221325 y[1] (numeric) 5.328783283922268 absolute error 1.3589129821411916e-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] 3.1999999999997626 y[1] (closed_form) 5.345487933714991 y[1] (numeric) 5.345487933715129 absolute error 1.376676550535194e-13 relative error 2.5753992294178384e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997615 y[1] (closed_form) 5.362192583507849 y[1] (numeric) 5.362192583507989 absolute error 1.3944401189291966e-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] 3.2199999999997604 y[1] (closed_form) 5.378897233300709 y[1] (numeric) 5.378897233300849 absolute error 1.4033219031261979e-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] 3.2299999999997593 y[1] (closed_form) 5.395601883093567 y[1] (numeric) 5.395601883093709 absolute error 1.4210854715202004e-13 relative error 2.6337848905661312e-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 2.6584766239151892e-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 1.4477308241112041e-13 relative error 2.6666565519887747e-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) 5.4457158324721435 y[1] (numeric) 5.44571583247229 absolute error 1.4654943925052066e-13 relative error 2.6910959689939036e-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 1.4832579608992091e-13 relative error 2.7153859094424265e-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) 5.4791251320580105 absolute error 1.4921397450962104e-13 relative error 2.7233175171814145e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997527 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] 3.2999999999997516 y[1] (closed_form) 5.512534431643578 y[1] (numeric) 5.512534431643731 absolute error 1.5276668818842154e-13 relative error 2.7712604806873505e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997505 y[1] (closed_form) 5.529239081436438 y[1] (numeric) 5.529239081436591 absolute error 1.5365486660812167e-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] 3.3199999999997494 y[1] (closed_form) 5.545943731229296 y[1] (numeric) 5.5459437312294515 absolute error 1.5543122344752192e-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] 3.3299999999997483 y[1] (closed_form) 5.5626483810221545 y[1] (numeric) 5.562648381022312 absolute error 1.5720758028692217e-13 relative error 2.8261283029008344e-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 2.8335858626161925e-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 1.5987211554602254e-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) 5.6127623304008925 absolute error 1.616484723854228e-13 relative error 2.8800163425747922e-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 1.6253665080512292e-13 relative error 2.8872476093559657e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997428 y[1] (closed_form) 5.646171629986449 y[1] (numeric) 5.646171629986613 absolute error 1.6431300764452317e-13 relative error 2.9101667184870457e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997417 y[1] (closed_form) 5.662876279779307 y[1] (numeric) 5.662876279779473 absolute error 1.6608936448392342e-13 relative error 2.9329506116350513e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997406 y[1] (closed_form) 5.679580929572166 y[1] (numeric) 5.679580929572333 absolute error 1.6697754290362354e-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] 3.4099999999997395 y[1] (closed_form) 5.696285579365025 y[1] (numeric) 5.696285579365194 absolute error 1.687538997430238e-13 relative error 2.9625252700521222e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997384 y[1] (closed_form) 5.712990229157883 y[1] (numeric) 5.712990229158054 absolute error 1.7053025658242404e-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] 3.4299999999997373 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 1.7319479184152442e-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 1.7497114868092467e-13 relative error 3.0360573618045996e-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 1.7674750552032492e-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 1.7763568394002505e-13 relative error 3.0645263676255855e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997318 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] 3.4899999999997307 y[1] (closed_form) 5.829922777707894 y[1] (numeric) 5.8299227777080755 absolute error 1.8118839761882555e-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] 3.4999999999997295 y[1] (closed_form) 5.846627427500754 y[1] (numeric) 5.846627427500936 absolute error 1.8207657603852567e-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] 3.5099999999997284 y[1] (closed_form) 5.863332077293612 y[1] (numeric) 5.863332077293796 absolute error 1.8385293287792592e-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] 3.5199999999997273 y[1] (closed_form) 5.880036727086471 y[1] (numeric) 5.880036727086656 absolute error 1.8562928971732617e-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] 3.5299999999997262 y[1] (closed_form) 5.89674137687933 y[1] (numeric) 5.8967413768795165 absolute error 1.865174681370263e-13 relative error 3.1630600057914522e-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 1.8829382497642655e-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 1.9095836023552692e-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) 5.9635599760509574 absolute error 1.9273471707492718e-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] 3.5799999999997207 y[1] (closed_form) 5.980264625843623 y[1] (numeric) 5.980264625843818 absolute error 1.9451107391432743e-13 relative error 3.2525496124996002e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997196 y[1] (closed_form) 5.9969692756364825 y[1] (numeric) 5.996969275636678 absolute error 1.9539925233402755e-13 relative error 3.2583000404531677e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997185 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] 3.6099999999997174 y[1] (closed_form) 6.0303785752221994 y[1] (numeric) 6.030378575222398 absolute error 1.9895196601282805e-13 relative error 3.2991621260775876e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997163 y[1] (closed_form) 6.047083225015059 y[1] (numeric) 6.047083225015259 absolute error 1.9984014443252818e-13 relative error 3.3047361347012143e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997152 y[1] (closed_form) 6.063787874807917 y[1] (numeric) 6.063787874808119 absolute error 2.0161650127192843e-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 2.0339285811132868e-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 3.3504088958931285e-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) 6.1139018241864935 y[1] (numeric) 6.1139018241867 absolute error 2.0605739337042905e-13 relative error 3.3703091625591607e-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] 3.6799999999997097 y[1] (closed_form) 6.1473111237722105 y[1] (numeric) 6.14731112377242 absolute error 2.0961010704922955e-13 relative error 3.4097852350216706e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997086 y[1] (closed_form) 6.16401577356507 y[1] (numeric) 6.16401577356528 absolute error 2.1049828546892968e-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] 3.6999999999997075 y[1] (closed_form) 6.180720423357928 y[1] (numeric) 6.1807204233581405 absolute error 2.1227464230832993e-13 relative error 3.4344643952201784e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997064 y[1] (closed_form) 6.197425073150787 y[1] (numeric) 6.197425073151001 absolute error 2.1405099914773018e-13 relative error 3.4538698995340352e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997053 y[1] (closed_form) 6.214129722943646 y[1] (numeric) 6.214129722943861 absolute error 2.149391775674303e-13 relative error 3.4588781881047244e-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) 6.2308343727365045 y[1] (numeric) 6.230834372736721 absolute error 2.1671553440683056e-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) 6.2475390225295815 absolute error 2.184918912462308e-13 relative error 3.4972473234392495e-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 2.1938006966593093e-13 relative error 3.5020998725709592e-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 2.2115642650533118e-13 relative error 3.5210674433770498e-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 2.2293278334473143e-13 relative error 3.5399343904653362e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996987 y[1] (closed_form) 6.314357621700799 y[1] (numeric) 6.314357621701022 absolute error 2.2382096176443156e-13 relative error 3.5446354985536036e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996976 y[1] (closed_form) 6.331062271493657 y[1] (numeric) 6.331062271493883 absolute error 2.255973186038318e-13 relative error 3.5633406990736757e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996965 y[1] (closed_form) 6.3477669212865155 y[1] (numeric) 6.347766921286743 absolute error 2.2737367544323206e-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] 3.8099999999996954 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] 3.8199999999996943 y[1] (closed_form) 6.381176220872233 y[1] (numeric) 6.381176220872463 absolute error 2.3003821070233244e-13 relative error 3.6049499769321347e-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 2.3447910280083306e-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 2.3714363805993344e-13 relative error 3.6682855740845455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996877 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] 3.8899999999996866 y[1] (closed_form) 6.498108769422244 y[1] (numeric) 6.498108769422485 absolute error 2.4069635173873394e-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] 3.8999999999996855 y[1] (closed_form) 6.514813419215104 y[1] (numeric) 6.514813419215345 absolute error 2.4158453015843406e-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] 3.9099999999996844 y[1] (closed_form) 6.531518069007962 y[1] (numeric) 6.5315180690082055 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] 3.9199999999996833 y[1] (closed_form) 6.548222718800821 y[1] (numeric) 6.548222718801066 absolute error 2.4513724383723456e-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 2.4780177909633494e-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) 6.5983366681796465 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 2.5135449277513544e-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 2.5224267119483557e-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] 3.9799999999996767 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] 3.9899999999996756 y[1] (closed_form) 6.665155267350832 y[1] (numeric) 6.665155267351087 absolute error 2.5579538487363607e-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] 3.9999999999996745 y[1] (closed_form) 6.681859917143691 y[1] (numeric) 6.681859917143948 absolute error 2.566835632933362e-13 relative error 3.8414987215574744e-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) 6.6985645669365566 y[1] (numeric) 6.698564566936808 absolute error 2.5135449277513544e-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 3.6636717652960745e-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 3.5622267417225995e-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 2.3359092438113294e-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 3.3739678634380487e-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) 6.7987924656937535 y[1] (numeric) 6.798792465693969 absolute error 2.1582735598713043e-13 relative error 3.1744954280658024e-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 2.1049828546892968e-13 relative error 3.0885243130779366e-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) 6.8322017652794855 y[1] (numeric) 6.83220176527969 absolute error 2.042810365310288e-13 relative error 2.9899737090488613e-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 1.9806378759312793e-13 relative error 2.8919038396735863e-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) 6.8656110648652175 y[1] (numeric) 6.86561106486541 absolute error 1.9273471707492718e-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) 6.8823157146582705 absolute error 1.865174681370263e-13 relative error 2.7100975292339164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1299999999997175 y[1] (closed_form) 6.8990203644509505 y[1] (numeric) 6.899020364451131 absolute error 1.8030021919912542e-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 1.7497114868092467e-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) 6.9324296640366825 y[1] (numeric) 6.932429664036851 absolute error 1.687538997430238e-13 relative error 2.4342677520187074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1599999999997275 y[1] (closed_form) 6.949134313829549 y[1] (numeric) 6.9491343138297115 absolute error 1.6253665080512292e-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) 6.9658389636224145 y[1] (numeric) 6.965838963622572 absolute error 1.5720758028692217e-13 relative error 2.2568362706617925e-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 2.1623972539022833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1899999999997375 y[1] (closed_form) 6.999248263208147 y[1] (numeric) 6.999248263208292 absolute error 1.4477308241112041e-13 relative error 2.0684090200390007e-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 1.3944401189291966e-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 1.3322676295501878e-13 relative error 1.8944013947138854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2199999999997475 y[1] (closed_form) 7.049362212586746 y[1] (numeric) 7.049362212586873 absolute error 1.270095140171179e-13 relative error 1.8017163849282768e-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) 7.0660668623796115 y[1] (numeric) 7.066066862379733 absolute error 1.2168044349891716e-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 1.1546319456101628e-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] 4.2499999999997575 y[1] (closed_form) 7.099476161965344 y[1] (numeric) 7.099476161965454 absolute error 1.092459456231154e-13 relative error 1.5387888223132353e-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 1.0391687510491465e-13 relative error 1.4602899765167671e-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 1.3697069256705626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2799999999997675 y[1] (closed_form) 7.149590111343943 y[1] (numeric) 7.149590111344034 absolute error 9.14823772291129e-14 relative error 1.2795471601086866e-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 1.2022015502087082e-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 1.1128506797784267e-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 7.37188088351104e-14 relative error 1.0239144305566386e-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) 7.2331133603083355 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) 7.2999319594797765 absolute error 3.8191672047105385e-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 2.6645352591003757e-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 2.7793164704567027e-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 1.4210854715202004e-14 relative error 1.9290533325461076e-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 1.2029305990566076e-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 2.6645352591003757e-15 relative error 3.6006455402913323e-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 1.1948209545685825e-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 2.1316282072803006e-14 relative error 2.8547399988349974e-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 2.6645352591003757e-14 relative error 3.5604597641719943e-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 3.2862601528904634e-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 5.684341886080802e-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) 7.5839110059584005 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 1.0471023901634848e-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) 7.6507296051298415 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 1.2047127184626004e-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 1.2714453418724217e-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 1.0391687510491465e-13 relative error 1.3494219739612242e-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) 7.7175482043013925 y[1] (numeric) 7.717548204301282 absolute error 1.1013412404281553e-13 relative error 1.4270610448721529e-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 1.1546319456101628e-13 relative error 1.4928810415073756e-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 1.2168044349891716e-13 relative error 1.5698762822257006e-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 1.2789769243681803e-13 relative error 1.6465403606183553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6599999999998944 y[1] (closed_form) 7.784366803472857 y[1] (numeric) 7.784366803472723 absolute error 1.3322676295501878e-13 relative error 1.7114656377135522e-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 1.3944401189291966e-13 relative error 1.7874982010906326e-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) 7.8177761030585895 y[1] (numeric) 7.817776103058444 absolute error 1.4566126083082054e-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] 4.6899999999999045 y[1] (closed_form) 7.834480752851455 y[1] (numeric) 7.834480752851304 absolute error 1.509903313490213e-13 relative error 1.9272538424970474e-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) 7.8511854026443215 y[1] (numeric) 7.851185402644164 absolute error 1.5720758028692217e-13 relative error 2.0023419677998407e-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) 7.8678900524370246 absolute error 1.6342482922482304e-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] 4.7199999999999145 y[1] (closed_form) 7.8845947022300535 y[1] (numeric) 7.884594702229885 absolute error 1.687538997430238e-13 relative error 2.1402989768807517e-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 1.7497114868092467e-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) 7.9180040018157865 y[1] (numeric) 7.918004001815605 absolute error 1.8118839761882555e-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] 4.7499999999999245 y[1] (closed_form) 7.934708651608652 y[1] (numeric) 7.9347086516084655 absolute error 1.865174681370263e-13 relative error 2.3506530148301347e-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) 7.9514133014015185 y[1] (numeric) 7.951413301401326 absolute error 1.9273471707492718e-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 1.9895196601282805e-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] 4.7799999999999345 y[1] (closed_form) 7.9848226009872505 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 2.1671553440683056e-13 relative error 2.7027845676469404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8099999999999445 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 2.3447910280083306e-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 2.5224267119483557e-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 2.7000623958883807e-13 relative error 3.3054269679761225e-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 3.3637867486271487e-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) 8.20198304829423 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 3.5014082363758546e-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 2.9309887850104133e-13 relative error 3.5590153585880315e-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 3.0020430585864233e-13 relative error 3.6379153800942064e-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 3.1086244689504383e-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) 8.30221094705139 absolute error 3.1796787425264483e-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 3.2862601528904634e-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 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.01000000000008%