##############ECHO OF PROBLEM################# ##############temp/subpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.0) x_end=c(10.0) $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 # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - cos(c(x)) - sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0 y[1] (closed_form) 1.0 y[1] (numeric) 1.0 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] 0.010000000000000002 y[1] (closed_form) 0.9900501662491681 y[1] (numeric) 0.9900501662491682 absolute error 1.1102230246251565e-16 relative error 1.1213805749169929e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.02000000000000001 y[1] (closed_form) 0.9802013266400892 y[1] (numeric) 0.9802013266400893 absolute error 1.1102230246251565e-16 relative error 1.1326479514476406e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.03000000000000002 y[1] (closed_form) 0.9704544660485168 y[1] (numeric) 0.9704544660485172 absolute error 3.3306690738754696e-16 relative error 3.4320714576514263e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.04000000000000003 y[1] (closed_form) 0.9608105591523879 y[1] (numeric) 0.9608105591523882 absolute error 3.3306690738754696e-16 relative error 3.4665200565798675e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.05000000000000004 y[1] (closed_form) 0.9512705703343554 y[1] (numeric) 0.9512705703343556 absolute error 2.220446049250313e-16 relative error 2.33418978626645e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.060000000000000046 y[1] (closed_form) 0.941835453585351 y[1] (numeric) 0.9418354535853514 absolute error 3.3306690738754696e-16 relative error 3.536359839923607e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.07000000000000005 y[1] (closed_form) 0.9325061524091875 y[1] (numeric) 0.9325061524091878 absolute error 2.220446049250313e-16 relative error 2.381159677621057e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.08000000000000006 y[1] (closed_form) 0.923283599728208 y[1] (numeric) 0.923283599728208 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.09000000000000007 y[1] (closed_form) 0.9141687177899948 y[1] (numeric) 0.9141687177899948 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000007 y[1] (closed_form) 0.9051624180751461 y[1] (numeric) 0.905162418075146 absolute error 1.1102230246251565e-16 relative error 1.2265456480021317e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000008 y[1] (closed_form) 0.8962656012061283 y[1] (numeric) 0.8962656012061281 absolute error 2.220446049250313e-16 relative error 2.4774420063229026e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000009 y[1] (closed_form) 0.8874791568572145 y[1] (numeric) 0.8874791568572141 absolute error 3.3306690738754696e-16 relative error 3.752954701122448e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1300000000000001 y[1] (closed_form) 0.8788039636655172 y[1] (numeric) 0.8788039636655168 absolute error 3.3306690738754696e-16 relative error 3.790002334517417e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1400000000000001 y[1] (closed_form) 0.8702408891431264 y[1] (numeric) 0.870240889143126 absolute error 3.3306690738754696e-16 relative error 3.827295540152082e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1500000000000001 y[1] (closed_form) 0.8617907895903583 y[1] (numeric) 0.8617907895903583 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000011 y[1] (closed_form) 0.8534545100101271 y[1] (numeric) 0.8534545100101268 absolute error 2.220446049250313e-16 relative error 2.6017157601334434e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000012 y[1] (closed_form) 0.8452328840234433 y[1] (numeric) 0.8452328840234431 absolute error 2.220446049250313e-16 relative error 2.6270227900748914e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000013 y[1] (closed_form) 0.8371267337860544 y[1] (numeric) 0.8371267337860543 absolute error 1.1102230246251565e-16 relative error 1.3262305213978481e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000014 y[1] (closed_form) 0.8291368699062289 y[1] (numeric) 0.8291368699062291 absolute error 2.220446049250313e-16 relative error 2.678021120326532e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.20000000000000015 y[1] (closed_form) 0.821264091363697 y[1] (numeric) 0.8212640913636972 absolute error 1.1102230246251565e-16 relative error 1.3518465452223138e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.21000000000000016 y[1] (closed_form) 0.8135091854297521 y[1] (numeric) 0.8135091854297521 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.22000000000000017 y[1] (closed_form) 0.8058729275885251 y[1] (numeric) 0.8058729275885254 absolute error 2.220446049250313e-16 relative error 2.755330242814736e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000018 y[1] (closed_form) 0.7983560814594366 y[1] (numeric) 0.7983560814594368 absolute error 2.220446049250313e-16 relative error 2.781272793953322e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000019 y[1] (closed_form) 0.7909593987208358 y[1] (numeric) 0.7909593987208358 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.25000000000000017 y[1] (closed_form) 0.7836836190348323 y[1] (numeric) 0.7836836190348324 absolute error 1.1102230246251565e-16 relative error 1.4166724908611501e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000002 y[1] (closed_form) 0.7765294699733314 y[1] (numeric) 0.7765294699733317 absolute error 3.3306690738754696e-16 relative error 4.2891727908148235e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2700000000000002 y[1] (closed_form) 0.7694976669452782 y[1] (numeric) 0.7694976669452784 absolute error 2.220446049250313e-16 relative error 2.8855786633700306e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2800000000000002 y[1] (closed_form) 0.7625889131251153 y[1] (numeric) 0.7625889131251153 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2900000000000002 y[1] (closed_form) 0.7558038993824674 y[1] (numeric) 0.7558038993824673 absolute error 1.1102230246251565e-16 relative error 1.4689300035793262e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3000000000000002 y[1] (closed_form) 0.7491433042130542 y[1] (numeric) 0.7491433042130543 absolute error 1.1102230246251565e-16 relative error 1.481990185831538e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3100000000000002 y[1] (closed_form) 0.7426077936708428 y[1] (numeric) 0.7426077936708431 absolute error 2.220446049250313e-16 relative error 2.990065641883789e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.32000000000000023 y[1] (closed_form) 0.7361980213014411 y[1] (numeric) 0.7361980213014414 absolute error 3.3306690738754696e-16 relative error 4.5241483643049695e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.33000000000000024 y[1] (closed_form) 0.7299146280767446 y[1] (numeric) 0.7299146280767447 absolute error 1.1102230246251565e-16 relative error 1.5210313397204936e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.34000000000000025 y[1] (closed_form) 0.7237582423308393 y[1] (numeric) 0.7237582423308393 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.35000000000000026 y[1] (closed_form) 0.7177294796971694 y[1] (numeric) 0.7177294796971696 absolute error 2.220446049250313e-16 relative error 3.093708858367059e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.36000000000000026 y[1] (closed_form) 0.711828943046975 y[1] (numeric) 0.711828943046975 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000003 y[1] (closed_form) 0.7060572224290034 y[1] (numeric) 0.7060572224290034 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000003 y[1] (closed_form) 0.700414895010507 y[1] (numeric) 0.7004148950105068 absolute error 2.220446049250313e-16 relative error 3.170186792239768e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3900000000000003 y[1] (closed_form) 0.6949025250195254 y[1] (numeric) 0.6949025250195252 absolute error 2.220446049250313e-16 relative error 3.195334553127322e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4000000000000003 y[1] (closed_form) 0.6895206636884641 y[1] (numeric) 0.689520663688464 absolute error 1.1102230246251565e-16 relative error 1.610137423128442e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4100000000000003 y[1] (closed_form) 0.6842698491989718 y[1] (numeric) 0.6842698491989716 absolute error 2.220446049250313e-16 relative error 3.2449859537865626e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4200000000000003 y[1] (closed_form) 0.6791506066281214 y[1] (numeric) 0.679150606628121 absolute error 4.440892098500626e-16 relative error 6.538891455238439e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4300000000000003 y[1] (closed_form) 0.6741634478959039 y[1] (numeric) 0.6741634478959037 absolute error 2.220446049250313e-16 relative error 3.293631620314674e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.44000000000000034 y[1] (closed_form) 0.6693088717140369 y[1] (numeric) 0.6693088717140366 absolute error 2.220446049250313e-16 relative error 3.3175207188931476e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.45000000000000034 y[1] (closed_form) 0.6645873635360927 y[1] (numeric) 0.6645873635360927 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.46000000000000035 y[1] (closed_form) 0.6599993955089549 y[1] (numeric) 0.6599993955089548 absolute error 1.1102230246251565e-16 relative error 1.6821576385975537e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000036 y[1] (closed_form) 0.6555454264256025 y[1] (numeric) 0.6555454264256027 absolute error 1.1102230246251565e-16 relative error 1.693586714011123e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.48000000000000037 y[1] (closed_form) 0.6512259016792326 y[1] (numeric) 0.6512259016792328 absolute error 2.220446049250313e-16 relative error 3.4096402546715884e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000004 y[1] (closed_form) 0.6470412532187203 y[1] (numeric) 0.6470412532187204 absolute error 1.1102230246251565e-16 relative error 1.715845812152361e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.6429918995054242 y[1] (numeric) 0.6429918995054242 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.6390782454713411 y[1] (numeric) 0.6390782454713412 absolute error 1.1102230246251565e-16 relative error 1.7372255001519116e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.6353006824786132 y[1] (numeric) 0.6353006824786132 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.6316595882803919 y[1] (numeric) 0.6316595882803918 absolute error 1.1102230246251565e-16 relative error 1.7576287057520792e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.6281553269830626 y[1] (numeric) 0.6281553269830625 absolute error 1.1102230246251565e-16 relative error 1.767433908357339e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.6247882490098349 y[1] (numeric) 0.6247882490098349 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.6215586910657004 y[1] (numeric) 0.6215586910657003 absolute error 1.1102230246251565e-16 relative error 1.7861917797683937e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.6184669761037619 y[1] (numeric) 0.618466976103762 absolute error 1.1102230246251565e-16 relative error 1.7951209482830842e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.6155134132929395 y[1] (numeric) 0.6155134132929396 absolute error 1.1102230246251565e-16 relative error 1.803734899432275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.6126982979870527 y[1] (numeric) 0.6126982979870529 absolute error 2.220446049250313e-16 relative error 3.624044748525211e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.6100219116952861 y[1] (numeric) 0.6100219116952864 absolute error 3.3306690738754696e-16 relative error 5.459917111205642e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.6074845220540391 y[1] (numeric) 0.6074845220540392 absolute error 1.1102230246251565e-16 relative error 1.8275741756699376e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.6050863828001609 y[1] (numeric) 0.605086382800161 absolute error 1.1102230246251565e-16 relative error 1.834817401587146e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.6028277337455786 y[1] (numeric) 0.6028277337455787 absolute error 1.1102230246251565e-16 relative error 1.8416920166014166e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.6007088007533153 y[1] (numeric) 0.6007088007533155 absolute error 1.1102230246251565e-16 relative error 1.848188378849932e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.5987297957149045 y[1] (numeric) 0.5987297957149047 absolute error 2.220446049250313e-16 relative error 3.708594536537174e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.5968909165292012 y[1] (numeric) 0.5968909165292011 absolute error 1.1102230246251565e-16 relative error 1.8600099178604974e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.595192347082591 y[1] (numeric) 0.5951923470825908 absolute error 1.1102230246251565e-16 relative error 1.8653180439349603e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.5936342572306035 y[1] (numeric) 0.5936342572306034 absolute error 1.1102230246251565e-16 relative error 1.8702138751299838e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.5922168027809254 y[1] (numeric) 0.5922168027809253 absolute error 1.1102230246251565e-16 relative error 1.874690180035053e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.5909401254778204 y[1] (numeric) 0.5909401254778202 absolute error 2.220446049250313e-16 relative error 3.7574805864721276e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.589804352987955 y[1] (numeric) 0.5898043529879546 absolute error 3.3306690738754696e-16 relative error 5.647074418834425e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.5888095988876318 y[1] (numeric) 0.5888095988876314 absolute error 4.440892098500626e-16 relative error 7.542153026870277e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.5879559626514319 y[1] (numeric) 0.5879559626514315 absolute error 4.440892098500626e-16 relative error 7.553103260445029e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.5872435296422669 y[1] (numeric) 0.587243529642267 absolute error 1.1102230246251565e-16 relative error 1.8905666364710307e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.5866723711028449 y[1] (numeric) 0.586672371102845 absolute error 1.1102230246251565e-16 relative error 1.8924072093903536e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.5862425441485434 y[1] (numeric) 0.5862425441485435 absolute error 1.1102230246251565e-16 relative error 1.8937947027328776e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.5859540917616999 y[1] (numeric) 0.5859540917617 absolute error 1.1102230246251565e-16 relative error 1.8947269764551286e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.5858070427873123 y[1] (numeric) 0.5858070427873125 absolute error 2.220446049250313e-16 relative error 3.7904051796394764e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.585801411930156 y[1] (numeric) 0.5858014119301562 absolute error 2.220446049250313e-16 relative error 3.790441613881007e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.585937199753312 y[1] (numeric) 0.585937199753312 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.5862143926781105 y[1] (numeric) 0.5862143926781107 absolute error 2.220446049250313e-16 relative error 3.7877712949118207e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.5866329629854906 y[1] (numeric) 0.5866329629854907 absolute error 1.1102230246251565e-16 relative error 1.8925343352255778e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.5871928688187704 y[1] (numeric) 0.5871928688187704 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 0.5878940541878325 y[1] (numeric) 0.5878940541878329 absolute error 4.440892098500626e-16 relative error 7.553898643584102e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 0.5887364489747252 y[1] (numeric) 0.5887364489747255 absolute error 3.3306690738754696e-16 relative error 5.657317598860704e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 0.5897199689406711 y[1] (numeric) 0.5897199689406717 absolute error 5.551115123125783e-16 relative error 9.41313744741829e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 0.5908445157344939 y[1] (numeric) 0.5908445157344944 absolute error 4.440892098500626e-16 relative error 7.516177234851778e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.5921099769024507 y[1] (numeric) 0.5921099769024512 absolute error 4.440892098500626e-16 relative error 7.50011361357665e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 0.5935162258994793 y[1] (numeric) 0.5935162258994798 absolute error 5.551115123125783e-16 relative error 9.352929003268642e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 0.5950631221018522 y[1] (numeric) 0.5950631221018526 absolute error 4.440892098500626e-16 relative error 7.462892479061262e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.5967505108212382 y[1] (numeric) 0.5967505108212386 absolute error 4.440892098500626e-16 relative error 7.441790192000245e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.5985782233201713 y[1] (numeric) 0.5985782233201719 absolute error 5.551115123125783e-16 relative error 9.273834073573651e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.6005460768289247 y[1] (numeric) 0.6005460768289255 absolute error 7.771561172376096e-16 relative error 1.2940824146937106e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 0.6026538745637877 y[1] (numeric) 0.6026538745637884 absolute error 6.661338147750939e-16 relative error 1.1053339950021132e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 0.6049014057467429 y[1] (numeric) 0.6049014057467438 absolute error 8.881784197001252e-16 relative error 1.4683027866395525e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.6072884456265453 y[1] (numeric) 0.607288445626546 absolute error 7.771561172376096e-16 relative error 1.2797149737235824e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 0.6098147555011958 y[1] (numeric) 0.6098147555011966 absolute error 7.771561172376096e-16 relative error 1.274413434943664e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 0.6124800827418124 y[1] (numeric) 0.612480082741813 absolute error 5.551115123125783e-16 relative error 9.063339820416372e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.6152841608178922 y[1] (numeric) 0.6152841608178927 absolute error 5.551115123125783e-16 relative error 9.022034820052464e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.6182267093239638 y[1] (numeric) 0.6182267093239645 absolute error 6.661338147750939e-16 relative error 1.0774911609747773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.6213074340076292 y[1] (numeric) 0.6213074340076302 absolute error 9.992007221626409e-16 relative error 1.6082227050101116e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.624526026798987 y[1] (numeric) 0.6245260267989884 absolute error 1.3322676295501878e-15 relative error 2.1332459695534802e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.6278821658414404 y[1] (numeric) 0.6278821658414422 absolute error 1.7763568394002505e-15 relative error 2.8291245332947316e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.6313755155238818 y[1] (numeric) 0.631375515523884 absolute error 2.220446049250313e-15 relative error 3.5168390199735653e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 0.6350057265142542 y[1] (numeric) 0.635005726514257 absolute error 2.7755575615628914e-15 relative error 4.370917372350007e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 0.6387724357944838 y[1] (numeric) 0.638772435794487 absolute error 3.1086244689504383e-15 relative error 4.866560131205466e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 0.6426752666967814 y[1] (numeric) 0.642675266696785 absolute error 3.552713678800501e-15 relative error 5.528007475782782e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.6467138289413092 y[1] (numeric) 0.646713828941313 absolute error 3.774758283725532e-15 relative error 5.836829390064118e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 0.650887718675208 y[1] (numeric) 0.6508877186752124 absolute error 4.440892098500626e-15 relative error 6.822823616244362e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.6551965185129828 y[1] (numeric) 0.6551965185129879 absolute error 5.10702591327572e-15 relative error 7.794647512576067e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.6596397975782403 y[1] (numeric) 0.6596397975782461 absolute error 5.773159728050814e-15 relative error 8.751988205147758e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.664217111546777 y[1] (numeric) 0.6642171115467831 absolute error 6.106226635438361e-15 relative error 9.193118528998231e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.6689280026910102 y[1] (numeric) 0.6689280026910167 absolute error 6.5503158452884236e-15 relative error 9.792258387954095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.6737719999257514 y[1] (numeric) 0.6737719999257583 absolute error 6.8833827526759706e-15 relative error 1.0216189977372921e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.6787486188553136 y[1] (numeric) 0.678748618855321 absolute error 7.438494264988549e-15 relative error 1.0959129872755124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.6838573618219511 y[1] (numeric) 0.683857361821959 absolute error 7.882583474838611e-15 relative error 1.1526648559924282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 0.6890977179556246 y[1] (numeric) 0.6890977179556329 absolute error 8.326672684688674e-15 relative error 1.2083442547730047e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 0.6944691632250874 y[1] (numeric) 0.6944691632250962 absolute error 8.770761894538737e-15 relative error 1.26294475823918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 0.6999711604902891 y[1] (numeric) 0.6999711604902985 absolute error 9.43689570931383e-15 relative error 1.34818350268943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 0.705603159556088 y[1] (numeric) 0.705603159556098 absolute error 9.992007221626409e-15 relative error 1.4160944556870497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 0.7113645972272707 y[1] (numeric) 0.7113645972272812 absolute error 1.0436096431476471e-14 relative error 1.4670531078091154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 0.7172548973648714 y[1] (numeric) 0.7172548973648825 absolute error 1.1102230246251565e-14 relative error 1.5478779283404185e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 0.7232734709437849 y[1] (numeric) 0.7232734709437967 absolute error 1.176836406102666e-14 relative error 1.6270974304740306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 0.7294197161116688 y[1] (numeric) 0.7294197161116811 absolute error 1.2323475573339238e-14 relative error 1.689490330619553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 0.7356930182491281 y[1] (numeric) 0.7356930182491411 absolute error 1.2989609388114332e-14 relative error 1.7656290145349256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 0.7420927500311768 y[1] (numeric) 0.7420927500311906 absolute error 1.3766765505351941e-14 relative error 1.855127341531577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 0.7486182714899698 y[1] (numeric) 0.7486182714899844 absolute error 1.454392162258955e-14 relative error 1.9427687215866217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 0.7552689300787992 y[1] (numeric) 0.7552689300788146 absolute error 1.532107773982716e-14 relative error 2.0285592495150928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 0.7620440607373483 y[1] (numeric) 0.7620440607373643 absolute error 1.5987211554602254e-14 relative error 2.097937951138041e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 0.7689429859581972 y[1] (numeric) 0.768942985958214 absolute error 1.6764367671839864e-14 relative error 2.180183443763312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 0.7759650158545726 y[1] (numeric) 0.7759650158545901 absolute error 1.7541523789077473e-14 relative error 2.2606075571279383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 0.7831094482293369 y[1] (numeric) 0.7831094482293551 absolute error 1.8207657603852567e-14 relative error 2.325046345057042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 0.7903755686452062 y[1] (numeric) 0.7903755686452251 absolute error 1.887379141862766e-14 relative error 2.3879522808352352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 0.7977626504961938 y[1] (numeric) 0.7977626504962135 absolute error 1.9761969838327786e-14 relative error 2.4771741101236317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 0.8052699550802708 y[1] (numeric) 0.8052699550802912 absolute error 2.042810365310288e-14 relative error 2.5368019164537898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 0.8128967316732344 y[1] (numeric) 0.8128967316732558 absolute error 2.142730437526552e-14 relative error 2.635919611973394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 0.8206422176037815 y[1] (numeric) 0.8206422176038037 absolute error 2.220446049250313e-14 relative error 2.7057419197051083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 0.8285056383297733 y[1] (numeric) 0.8285056383297963 absolute error 2.298161660974074e-14 relative error 2.7738636342983196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 0.83648620751569 y[1] (numeric) 0.8364862075157138 absolute error 2.375877272697835e-14 relative error 2.840306572123929e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 0.8445831271112634 y[1] (numeric) 0.8445831271112881 absolute error 2.475797344914099e-14 relative error 2.9313838572433894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 0.8527955874312817 y[1] (numeric) 0.8527955874313071 absolute error 2.5424107263916085e-14 relative error 2.9812662774788056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 0.8611227672365561 y[1] (numeric) 0.8611227672365825 absolute error 2.6423307986078726e-14 relative error 3.068471650200844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 0.8695638338160459 y[1] (numeric) 0.8695638338160732 absolute error 2.731148640577885e-14 relative error 3.1408259340689794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 0.8781179430701268 y[1] (numeric) 0.8781179430701551 absolute error 2.8310687127941492e-14 relative error 3.2240187495725265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 0.8867842395950022 y[1] (numeric) 0.8867842395950315 absolute error 2.930988785010413e-14 relative error 3.3051881778469668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 0.8955618567682414 y[1] (numeric) 0.8955618567682716 absolute error 3.019806626980426e-14 relative error 3.3719687860287114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 0.9044499168354418 y[1] (numeric) 0.9044499168354729 absolute error 3.108624468950438e-14 relative error 3.4370332851896654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 0.9134475309980029 y[1] (numeric) 0.9134475309980351 absolute error 3.219646771412954e-14 relative error 3.524719989001747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 0.9225537995020072 y[1] (numeric) 0.9225537995020402 absolute error 3.297362383136715e-14 relative error 3.5741681243051893e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 0.9317678117281922 y[1] (numeric) 0.9317678117282264 absolute error 3.419486915845482e-14 relative error 3.6698916541270125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 0.9410886462830139 y[1] (numeric) 0.9410886462830491 absolute error 3.519406988061746e-14 relative error 3.7397188904172095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 0.9505153710907841 y[1] (numeric) 0.9505153710908202 absolute error 3.608224830031759e-14 relative error 3.796072046568867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 0.9600470434868775 y[1] (numeric) 0.9600470434869149 absolute error 3.7414515929867775e-14 relative error 3.897154434638825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 0.9696827103119978 y[1] (numeric) 0.9696827103120363 absolute error 3.852473895449293e-14 relative error 3.972922126465213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 0.9794214080074918 y[1] (numeric) 0.9794214080075315 absolute error 3.9745984281580604e-14 relative error 4.058108589073906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 0.989262162711706 y[1] (numeric) 0.9892621627117465 absolute error 4.0523140398818214e-14 relative error 4.096299436717423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 0.9992039903573701 y[1] (numeric) 0.9992039903574116 absolute error 4.1522341120980855e-14 relative error 4.155541963571442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 1.0092458967700044 y[1] (numeric) 1.009245896770047 absolute error 4.263256414560601e-14 relative error 4.22419989836446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 1.0193868777673363 y[1] (numeric) 1.0193868777673796 absolute error 4.3298697960381105e-14 relative error 4.247523575662855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 1.0296259192597161 y[1] (numeric) 1.0296259192597605 absolute error 4.440892098500626e-14 relative error 4.313112185145411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 1.039961997351528 y[1] (numeric) 1.0399619973515732 absolute error 4.529709940470639e-14 relative error 4.355649487199008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 1.0503940784435755 y[1] (numeric) 1.050394078443622 absolute error 4.6629367034256575e-14 relative error 4.439226000145562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 1.0609211193364434 y[1] (numeric) 1.0609211193364911 absolute error 4.773959005888173e-14 relative error 4.4998246513124945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 1.071542067334814 y[1] (numeric) 1.0715420673348628 absolute error 4.884981308350689e-14 relative error 4.558832972839626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 1.082255860352739 y[1] (numeric) 1.0822558603527885 absolute error 4.951594689828198e-14 relative error 4.575253293813838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 1.0930614270198444 y[1] (numeric) 1.0930614270198953 absolute error 5.084821452783217e-14 relative error 4.651908234148036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 1.103957686788468 y[1] (numeric) 1.1039576867885204 absolute error 5.240252676230739e-14 relative error 4.746787615995681e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 1.1149435500417133 y[1] (numeric) 1.1149435500417673 absolute error 5.395683899678261e-14 relative error 4.839423394553376e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 1.1260179182024097 y[1] (numeric) 1.1260179182024652 absolute error 5.551115123125783e-14 relative error 4.929863933237988e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 1.1371796838429704 y[1] (numeric) 1.1371796838430273 absolute error 5.684341886080802e-14 relative error 4.99863123378287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 1.148427730796132 y[1] (numeric) 1.1484277307961903 absolute error 5.839773109528323e-14 relative error 5.085015759311193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 1.1597609342665727 y[1] (numeric) 1.1597609342666324 absolute error 5.972999872483342e-14 relative error 5.150199231586153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 1.17117816094339 y[1] (numeric) 1.1711781609434508 absolute error 6.084022174945858e-14 relative error 5.194787930510202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 1.1826782691134299 y[1] (numeric) 1.1826782691134925 absolute error 6.261657858885883e-14 relative error 5.294472742430454e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 1.19426010877546 y[1] (numeric) 1.1942601087755231 absolute error 6.306066779870889e-14 relative error 5.280312666841768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 1.2059225217551643 y[1] (numeric) 1.205922521755229 absolute error 6.461498003318411e-14 relative error 5.358136933966537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 1.217664341820964 y[1] (numeric) 1.2176643418210302 absolute error 6.616929226765933e-14 relative error 5.434115954213296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 1.2294843948006378 y[1] (numeric) 1.2294843948007055 absolute error 6.772360450213455e-14 relative error 5.508293133978004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 1.2413814986987373 y[1] (numeric) 1.2413814986988059 absolute error 6.861178292183467e-14 relative error 5.527050547616194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 1.2533544638147869 y[1] (numeric) 1.2533544638148568 absolute error 6.994405055138486e-14 relative error 5.580548246383456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 1.2654020928622525 y[1] (numeric) 1.2654020928623235 absolute error 7.105427357601002e-14 relative error 5.615153789993356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 1.2775231810882686 y[1] (numeric) 1.277523181088341 absolute error 7.238654120556021e-14 relative error 5.666162640109367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 1.2897165163941142 y[1] (numeric) 1.289716516394188 absolute error 7.37188088351104e-14 relative error 5.7158924382250254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 1.3019808794564192 y[1] (numeric) 1.3019808794564944 absolute error 7.527312106958561e-14 relative error 5.7814306075687045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 1.3143150438490978 y[1] (numeric) 1.3143150438491749 absolute error 7.704947790898586e-14 relative error 5.862329452102981e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 1.3267177761659896 y[1] (numeric) 1.326717776166068 absolute error 7.838174553853605e-14 relative error 5.907944172199701e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 1.3391878361441982 y[1] (numeric) 1.3391878361442777 absolute error 7.949196856316121e-14 relative error 5.93583412406397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 1.3517239767881168 y[1] (numeric) 1.351723976788198 absolute error 8.104628079763643e-14 relative error 5.995771488067675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 1.364324944494129 y[1] (numeric) 1.3643249444942107 absolute error 8.171241461241152e-14 relative error 5.989219426220287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 1.376989479175964 y[1] (numeric) 1.376989479176047 absolute error 8.304468224196171e-14 relative error 6.03088719978154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 1.3897163143907076 y[1] (numeric) 1.3897163143907922 absolute error 8.459899447643693e-14 relative error 6.0875009957357816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 1.402504177465444 y[1] (numeric) 1.4025041774655302 absolute error 8.615330671091215e-14 relative error 6.1428199712463855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 1.415351789624523 y[1] (numeric) 1.41535178962461 absolute error 8.704148513061227e-14 relative error 6.149812772251018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 1.4282578661174339 y[1] (numeric) 1.428257866117522 absolute error 8.815170815523743e-14 relative error 6.1719742804475785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 1.4412211163472828 y[1] (numeric) 1.4412211163473725 absolute error 8.970602038971265e-14 relative error 6.224306553117191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 1.4542402439998492 y[1] (numeric) 1.4542402439999407 absolute error 9.14823772291129e-14 relative error 6.290733433252614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 1.4673139471732175 y[1] (numeric) 1.4673139471733105 absolute error 9.303668946358812e-14 relative error 6.340612357895421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 1.4804409185079652 y[1] (numeric) 1.4804409185080594 absolute error 9.414691248821327e-14 relative error 6.359383296639591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 1.4936198453178973 y[1] (numeric) 1.493619845317993 absolute error 9.57012247226885e-14 relative error 6.407334839764381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 1.5068494097213154 y[1] (numeric) 1.506849409721413 absolute error 9.747758156208874e-14 relative error 6.468966370044685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 1.520128288772805 y[1] (numeric) 1.5201282887729033 absolute error 9.836575998178887e-14 relative error 6.470885431728875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 1.5334551545955244 y[1] (numeric) 1.5334551545956243 absolute error 9.992007221626409e-14 relative error 6.51600876079221e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 1.5468286745139983 y[1] (numeric) 1.5468286745141 absolute error 1.0169642905566434e-13 relative error 6.5745114977013585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 1.5602475111873797 y[1] (numeric) 1.5602475111874825 absolute error 1.028066520802895e-13 relative error 6.589124567938043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 1.573710322743183 y[1] (numeric) 1.573710322743287 absolute error 1.0391687510491465e-13 relative error 6.603303899269971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 1.5872157629114714 y[1] (numeric) 1.587215762911577 absolute error 1.056932319443149e-13 relative error 6.659033662218617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 1.6007624811594832 y[1] (numeric) 1.6007624811595902 absolute error 1.0702549957386509e-13 relative error 6.685907549278836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 1.614349122826682 y[1] (numeric) 1.6143491228267906 absolute error 1.0857981180834031e-13 relative error 6.725918840790768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 1.6279743292602236 y[1] (numeric) 1.627974329260334 absolute error 1.1035616864774056e-13 relative error 6.7787413268296494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 1.641636737950819 y[1] (numeric) 1.6416367379509305 absolute error 1.1146639167236572e-13 relative error 6.789954750373349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 1.6553349826689843 y[1] (numeric) 1.655334982669097 absolute error 1.127986593019159e-13 relative error 6.8142497127708045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 1.6690676936016626 y[1] (numeric) 1.669067693601777 absolute error 1.1435297153639112e-13 relative error 6.851308186885465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 1.6828334974892047 y[1] (numeric) 1.6828334974893209 absolute error 1.1612932837579137e-13 relative error 6.900821058592954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 1.696631017762693 y[1] (numeric) 1.696631017762811 absolute error 1.1790568521519162e-13 relative error 6.949400546187765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 1.7104588746815994 y[1] (numeric) 1.7104588746817184 absolute error 1.1901590823981678e-13 relative error 6.958127435947357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 1.7243156854717534 y[1] (numeric) 1.7243156854718744 absolute error 1.2101430968414206e-13 relative error 7.018106411937783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 1.7382000644636244 y[1] (numeric) 1.7382000644637468 absolute error 1.2234657731369225e-13 relative error 7.038693635732092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 1.752110623230883 y[1] (numeric) 1.7521106232310069 absolute error 1.2390088954816747e-13 relative error 7.0715220777381546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 1.7660459707292446 y[1] (numeric) 1.7660459707293699 absolute error 1.2523315717771766e-13 relative error 7.091160663615441e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 1.7800047134355723 y[1] (numeric) 1.7800047134356993 absolute error 1.270095140171179e-13 relative error 7.13534706163659e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 1.7939854554872277 y[1] (numeric) 1.7939854554873562 absolute error 1.2856382625159313e-13 relative error 7.16638063359753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 1.807986798821656 y[1] (numeric) 1.8079867988217864 absolute error 1.3034018309099338e-13 relative error 7.209133560927645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 1.8220073433161916 y[1] (numeric) 1.8220073433163237 absolute error 1.3211653993039363e-13 relative error 7.25115298876521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 1.8360456869280688 y[1] (numeric) 1.836045686928203 absolute error 1.341149413747189e-13 relative error 7.304553602863215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 1.8501004258346256 y[1] (numeric) 1.8501004258347609 absolute error 1.3522516439934407e-13 relative error 7.30907157855178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 1.8641701545736828 y[1] (numeric) 1.8641701545738194 absolute error 1.3655743202889425e-13 relative error 7.32537379669205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 1.8782534661840913 y[1] (numeric) 1.8782534661842296 absolute error 1.383337888682945e-13 relative error 7.365022418903719e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 1.892348952346426 y[1] (numeric) 1.892348952346566 absolute error 1.3988810110276972e-13 relative error 7.392299445052926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 1.906455203523818 y[1] (numeric) 1.906455203523959 absolute error 1.4099832412739488e-13 relative error 7.395837251605967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 1.9205708091029035 y[1] (numeric) 1.920570809103046 absolute error 1.425526363618701e-13 relative error 7.422409821403892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 1.9346943575348874 y[1] (numeric) 1.934694357535032 absolute error 1.4455103780619538e-13 relative error 7.471518032976368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 1.9488244364766967 y[1] (numeric) 1.9488244364768432 absolute error 1.4654943925052066e-13 relative error 7.519889247461878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 1.962959632932213 y[1] (numeric) 1.9629596329323609 absolute error 1.4788170688007085e-13 relative error 7.533609168476347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 1.9770985333935687 y[1] (numeric) 1.9770985333937183 absolute error 1.496580637194711e-13 relative error 7.56958043272594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 1.9912397239825004 y[1] (numeric) 1.9912397239826514 absolute error 1.509903313490213e-13 relative error 7.582729971208039e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 2.005381790591734 y[1] (numeric) 2.0053817905918865 absolute error 1.5232259897857148e-13 relative error 7.595690740446245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 2.019523319026393 y[1] (numeric) 2.0195233190265474 absolute error 1.545430450278218e-13 relative error 7.652451624194496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 2.0336628951454188 y[1] (numeric) 2.033662895145574 absolute error 1.5543122344752192e-13 relative error 7.64291976898205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 2.0477991050029822 y[1] (numeric) 2.0477991050031394 absolute error 1.5720758028692217e-13 relative error 7.676904433782006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 2.061930534989878 y[1] (numeric) 2.061930534990036 absolute error 1.580957587066223e-13 relative error 7.667365899278386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 2.0760557719748833 y[1] (numeric) 2.076055771975043 absolute error 1.5987211554602254e-13 relative error 7.700762075093074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 2.090173403446071 y[1] (numeric) 2.0901734034462325 absolute error 1.616484723854228e-13 relative error 7.733735015425648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 2.104282017652058 y[1] (numeric) 2.1042820176522214 absolute error 1.6342482922482304e-13 relative error 7.76629880661962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 2.1183802037431807 y[1] (numeric) 2.1183802037433463 absolute error 1.6564527527407336e-13 relative error 7.819430854828511e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 2.13246655191258 y[1] (numeric) 2.1324665519127466 absolute error 1.6653345369377348e-13 relative error 7.809428642358395e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 2.146539653537176 y[1] (numeric) 2.146539653537344 absolute error 1.6786572132332367e-13 relative error 7.820294446771859e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 2.1605981013185342 y[1] (numeric) 2.1605981013187043 absolute error 1.7008616737257398e-13 relative error 7.872179803767141e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 2.174640489423592 y[1] (numeric) 2.1746404894237634 absolute error 1.7141843500212417e-13 relative error 7.882610290566243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 2.1886654136252406 y[1] (numeric) 2.188665413625414 absolute error 1.7319479184152442e-13 relative error 7.913260325827952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 2.2026714714427476 y[1] (numeric) 2.2026714714429225 absolute error 1.7497114868092467e-13 relative error 7.943588090616108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 2.216657262282002 y[1] (numeric) 2.2166572622821787 absolute error 1.7674750552032492e-13 relative error 7.973605506264287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 2.230621387575576 y[1] (numeric) 2.2306213875757543 absolute error 1.7852386235972517e-13 relative error 8.0033242465123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 2.244562450922576 y[1] (numeric) 2.2445624509227557 absolute error 1.7985612998927536e-13 relative error 8.012970631106727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 2.2584790582282848 y[1] (numeric) 2.258479058228467 absolute error 1.8207657603852567e-13 relative error 8.061911195287318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 2.27236981784357 y[1] (numeric) 2.272369817843753 absolute error 1.829647544582258e-13 relative error 8.051715571185301e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 2.286233340704044 y[1] (numeric) 2.286233340704229 absolute error 1.851852005074761e-13 relative error 8.10001311810318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 2.3000682404689754 y[1] (numeric) 2.300068240469162 absolute error 1.865174681370263e-13 relative error 8.109214537869366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 2.313873133659916 y[1] (numeric) 2.313873133660103 absolute error 1.8696155734687636e-13 relative error 8.080026282649048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 2.32764663979905 y[1] (numeric) 2.327646639799239 absolute error 1.8918200339612667e-13 relative error 8.127608381848678e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 2.3413873815472424 y[1] (numeric) 2.341387381547433 absolute error 1.9051427102567686e-13 relative error 8.136811214032455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 2.355093984841769 y[1] (numeric) 2.35509398484196 absolute error 1.9095836023552692e-13 relative error 8.108311662490055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 2.368765079033721 y[1] (numeric) 2.3687650790339143 absolute error 1.9317880628477724e-13 relative error 8.155253891347458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 2.3823992970250742 y[1] (numeric) 2.382399297025268 absolute error 1.936228954946273e-13 relative error 8.127222658955874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 2.395995275405389 y[1] (numeric) 2.3959952754055838 absolute error 1.949551631241775e-13 relative error 8.136708996272631e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 2.409551654588159 y[1] (numeric) 2.4095516545883546 absolute error 1.9584334154387761e-13 relative error 8.12779178943774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 2.423067078946761 y[1] (numeric) 2.423067078946959 absolute error 1.9761969838327786e-13 relative error 8.155766718153653e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 2.4365401969500238 y[1] (numeric) 2.4365401969502227 absolute error 1.9895196601282805e-13 relative error 8.165347169805333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 2.4499696612973736 y[1] (numeric) 2.4499696612975748 absolute error 2.0117241206207837e-13 relative error 8.211220540402455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 2.4633541290535677 y[1] (numeric) 2.46335412905377 absolute error 2.0250467969162855e-13 relative error 8.220688909614136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 2.476692261782983 y[1] (numeric) 2.476692261783187 absolute error 2.0383694732117874e-13 relative error 8.230208914790063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 2.4899827256834626 y[1] (numeric) 2.489982725683668 absolute error 2.05613304160579e-13 relative error 8.25761970313032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 2.503224191719691 y[1] (numeric) 2.503224191719898 absolute error 2.0694557179012918e-13 relative error 8.267160906908603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 2.5164153357561 y[1] (numeric) 2.5164153357563084 absolute error 2.0827783941967937e-13 relative error 8.276767211685218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 2.529554838689278 y[1] (numeric) 2.5295548386894877 absolute error 2.0961010704922955e-13 relative error 8.286442493487975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 2.542641386579881 y[1] (numeric) 2.5426413865800925 absolute error 2.113864638886298e-13 relative error 8.31365622396978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 2.555673670784026 y[1] (numeric) 2.5556736707842385 absolute error 2.1227464230832993e-13 relative error 8.306015151113116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 2.5686503880841527 y[1] (numeric) 2.568650388084366 absolute error 2.1316282072803006e-13 relative error 8.298631130062785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 2.5815702408193446 y[1] (numeric) 2.5815702408195595 absolute error 2.149391775674303e-13 relative error 8.32590855630612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 2.5944319370150946 y[1] (numeric) 2.5944319370153113 absolute error 2.1671553440683056e-13 relative error 8.353101552402363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 2.6072341905125014 y[1] (numeric) 2.607234190512719 absolute error 2.1760371282653068e-13 relative error 8.346151397460638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 2.6199757210968833 y[1] (numeric) 2.619975721097102 absolute error 2.1893598045608087e-13 relative error 8.356412568755438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 2.632655254625801 y[1] (numeric) 2.632655254626021 absolute error 2.19824158875781e-13 relative error 8.349902954043493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 2.6452715231564667 y[1] (numeric) 2.6452715231566883 absolute error 2.2160051571518125e-13 relative error 8.377231364542749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 2.6578232650725417 y[1] (numeric) 2.6578232650727642 absolute error 2.2248869413488137e-13 relative error 8.371086861142696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 2.670309225210293 y[1] (numeric) 2.6703092252105165 absolute error 2.233768725545815e-13 relative error 8.365206188320382e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 2.6827281549841127 y[1] (numeric) 2.682728154984338 absolute error 2.2515322939398175e-13 relative error 8.392696404057202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 2.6950788125113725 y[1] (numeric) 2.6950788125115994 absolute error 2.26929586233382e-13 relative error 8.420146571592122e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 2.7073599627366116 y[1] (numeric) 2.70735996273684 absolute error 2.282618538629322e-13 relative error 8.43116013402976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 2.7195703775550415 y[1] (numeric) 2.719570377555271 absolute error 2.2959412149248237e-13 relative error 8.442293804468224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 2.731708835935356 y[1] (numeric) 2.7317088359355868 absolute error 2.3092638912203256e-13 relative error 8.4535506157984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 2.743774124041832 y[1] (numeric) 2.7437741240420643 absolute error 2.3225865675158275e-13 relative error 8.464933564190201e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 2.755765035355714 y[1] (numeric) 2.7557650353559477 absolute error 2.3359092438113294e-13 relative error 8.476445610718804e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 2.7676803707958624 y[1] (numeric) 2.767680370796097 absolute error 2.3447910280083306e-13 relative error 8.472044144801564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 2.7795189388386627 y[1] (numeric) 2.779518938838898 absolute error 2.353672812205332e-13 relative error 8.467914282997267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 2.7912795556371757 y[1] (numeric) 2.7912795556374133 absolute error 2.375877272697835e-13 relative error 8.511785456600332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 2.802961045139523 y[1] (numeric) 2.8029610451397615 absolute error 2.384759056894836e-13 relative error 8.507999285363348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 2.8145622392064884 y[1] (numeric) 2.814562239206728 absolute error 2.398081733190338e-13 relative error 8.520265424531635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 2.826081977728333 y[1] (numeric) 2.826081977728574 absolute error 2.41140440948584e-13 relative error 8.532676788888411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 2.8375191087408034 y[1] (numeric) 2.837519108741046 absolute error 2.424727085781342e-13 relative error 8.545236147704236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 2.84887248854033 y[1] (numeric) 2.848872488540574 absolute error 2.438049762076844e-13 relative error 8.557946246748381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 2.8601409817983945 y[1] (numeric) 2.860140981798639 absolute error 2.446931546273845e-13 relative error 8.555282980265076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 2.8713234616750603 y[1] (numeric) 2.8713234616753063 absolute error 2.460254222569347e-13 relative error 8.568363179584423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 2.88241880993166 y[1] (numeric) 2.8824188099319064 absolute error 2.4646951146678475e-13 relative error 8.550787644652804e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 2.893425917042612 y[1] (numeric) 2.89342591704286 absolute error 2.4780177909633494e-13 relative error 8.564303569576601e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 2.9043436823063797 y[1] (numeric) 2.9043436823066284 absolute error 2.4868995751603507e-13 relative error 8.562690394772664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 2.9151710139555336 y[1] (numeric) 2.915171013955783 absolute error 2.495781359357352e-13 relative error 8.56135488247353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 2.9259068292659323 y[1] (numeric) 2.9259068292661827 absolute error 2.504663143554353e-13 relative error 8.560296994086913e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 2.9365500546649903 y[1] (numeric) 2.9365500546652425 absolute error 2.5224267119483557e-13 relative error 8.589762357162072e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 2.9470996258390385 y[1] (numeric) 2.9470996258392916 absolute error 2.531308496145357e-13 relative error 8.5891514285836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 2.9575544878397495 y[1] (numeric) 2.957554487840004 absolute error 2.544631172440859e-13 relative error 8.603835306850095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 2.9679135951896356 y[1] (numeric) 2.9679135951898914 absolute error 2.5579538487363607e-13 relative error 8.618693795136983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 2.978175911986595 y[1] (numeric) 2.9781759119868516 absolute error 2.566835632933362e-13 relative error 8.618818057732364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 2.9883404120074992 y[1] (numeric) 2.9883404120077577 absolute error 2.5845992013273644e-13 relative error 8.648945049707671e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 2.9984060788108176 y[1] (numeric) 2.9984060788110773 absolute error 2.5979218776228663e-13 relative error 8.664343018718849e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 3.0083719058382568 y[1] (numeric) 3.0083719058385183 absolute error 2.615685446016869e-13 relative error 8.694687784248639e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 3.018236896515419 y[1] (numeric) 3.018236896515682 absolute error 2.6290081223123707e-13 relative error 8.710410125022272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 3.0280000643514584 y[1] (numeric) 3.0280000643517213 absolute error 2.6290081223123707e-13 relative error 8.682325186394788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 3.0376604330377264 y[1] (numeric) 3.03766043303799 absolute error 2.637889906509372e-13 relative error 8.683952550520681e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 3.0472170365454048 y[1] (numeric) 3.0472170365456694 absolute error 2.646771690706373e-13 relative error 8.685865361618575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 3.056668919222106 y[1] (numeric) 3.0566689192223717 absolute error 2.6556534749033744e-13 relative error 8.688063853442176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 3.06601513588744 y[1] (numeric) 3.0660151358877066 absolute error 2.6645352591003757e-13 relative error 8.690548288272365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 3.075254751927528 y[1] (numeric) 3.075254751927796 absolute error 2.682298827494378e-13 relative error 8.722200415471758e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 3.084386843388466 y[1] (numeric) 3.084386843388735 absolute error 2.6911806116913795e-13 relative error 8.725172127679304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 3.093410497068718 y[1] (numeric) 3.0934104970689877 absolute error 2.69562150378988e-13 relative error 8.714076280352127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 3.102324810610436 y[1] (numeric) 3.1023248106107064 absolute error 2.7045032879868813e-13 relative error 8.717666437560172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 3.111128892589693 y[1] (numeric) 3.111128892589965 absolute error 2.717825964282383e-13 relative error 8.735819241548922e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 3.1198218626056295 y[1] (numeric) 3.119821862605902 absolute error 2.7267077484793845e-13 relative error 8.739946921847897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 3.1284028513684867 y[1] (numeric) 3.1284028513687603 absolute error 2.7355895326763857e-13 relative error 8.744364657127618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 3.13687100078654 y[1] (numeric) 3.136871000786814 absolute error 2.7400304247748863e-13 relative error 8.734915857514862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 3.145225464051904 y[1] (numeric) 3.1452254640521784 absolute error 2.744471316873387e-13 relative error 8.725833324959041e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 3.153465405725214 y[1] (numeric) 3.15346540572549 absolute error 2.757793993168889e-13 relative error 8.745280630515333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 3.161590001819169 y[1] (numeric) 3.1615900018194463 absolute error 2.7711166694643907e-13 relative error 8.764946333553366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 3.169598439880932 y[1] (numeric) 3.169598439881209 absolute error 2.7711166694643907e-13 relative error 8.742800458876076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 3.1774899190733676 y[1] (numeric) 3.177489919073646 absolute error 2.7844393457598926e-13 relative error 8.763015514371489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 3.185263650255135 y[1] (numeric) 3.185263650255414 absolute error 2.788880237858393e-13 relative error 8.755571105189387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 3.1929188560595927 y[1] (numeric) 3.192918856059873 absolute error 2.802202914153895e-13 relative error 8.776304818507404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 3.2004547709725406 y[1] (numeric) 3.2004547709728213 absolute error 2.8066438062523957e-13 relative error 8.769515606682124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 3.2078706414087668 y[1] (numeric) 3.2078706414090483 absolute error 2.815525590449397e-13 relative error 8.776929948811565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 3.215165725787408 y[1] (numeric) 3.2151657257876898 absolute error 2.8199664825478976e-13 relative error 8.770827767695476e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 3.2223392946061047 y[1] (numeric) 3.222339294606387 absolute error 2.824407374646398e-13 relative error 8.76508373706702e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 3.2293906305139544 y[1] (numeric) 3.2293906305142377 absolute error 2.8332891588433995e-13 relative error 8.773448253897004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 3.23631902838324 y[1] (numeric) 3.2363190283835253 absolute error 2.851052727237402e-13 relative error 8.809554009456525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 3.243123795379951 y[1] (numeric) 3.243123795380237 absolute error 2.859934511434403e-13 relative error 8.81845619186222e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 3.2498042510330567 y[1] (numeric) 3.2498042510333427 absolute error 2.859934511434403e-13 relative error 8.800328544481654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 3.2563597273025593 y[1] (numeric) 3.256359727302846 absolute error 2.8688162956314045e-13 relative error 8.80988753047815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 3.2627895686462947 y[1] (numeric) 3.2627895686465833 absolute error 2.886579864025407e-13 relative error 8.846969144942516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 3.2690931320854864 y[1] (numeric) 3.269093132085776 absolute error 2.8954616482224083e-13 relative error 8.85707910797658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 3.2752697872690435 y[1] (numeric) 3.275269787269334 absolute error 2.9043434324194095e-13 relative error 8.867493736572716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 3.2813189165365952 y[1] (numeric) 3.281318916536886 absolute error 2.90878432451791e-13 relative error 8.864680326739188e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 3.287239914980255 y[1] (numeric) 3.287239914980546 absolute error 2.90878432451791e-13 relative error 8.848713205453341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 3.293032190505114 y[1] (numeric) 3.2930321905054054 absolute error 2.913225216616411e-13 relative error 8.846634493935982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 3.2986951638884454 y[1] (numeric) 3.298695163888737 absolute error 2.9176661087149114e-13 relative error 8.844909771158171e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 3.3042282688376305 y[1] (numeric) 3.3042282688379223 absolute error 2.9176661087149114e-13 relative error 8.830098502066551e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 3.309630952046785 y[1] (numeric) 3.309630952047077 absolute error 2.922107000813412e-13 relative error 8.829102226658489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 3.31490267325209 y[1] (numeric) 3.3149026732523827 absolute error 2.9265478929119126e-13 relative error 8.828457971107848e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 3.3200429052858187 y[1] (numeric) 3.3200429052861127 absolute error 2.9398705692074145e-13 relative error 8.854917400395235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 3.325051134129051 y[1] (numeric) 3.3250511341293456 absolute error 2.944311461305915e-13 relative error 8.854935886804443e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 3.329926858963076 y[1] (numeric) 3.3299268589633715 absolute error 2.9531932455029164e-13 relative error 8.868642978009815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 3.3346695922194733 y[1] (numeric) 3.334669592219769 absolute error 2.957634137601417e-13 relative error 8.869346889725554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 3.3392788596288696 y[1] (numeric) 3.3392788596291667 absolute error 2.970956813896919e-13 relative error 8.897001235252073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 3.343754200268365 y[1] (numeric) 3.3437542002686627 absolute error 2.9753977059954195e-13 relative error 8.898374485052215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 3.3480951666076253 y[1] (numeric) 3.3480951666079237 absolute error 2.984279490192421e-13 relative error 8.913365187334768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 3.3523013245536335 y[1] (numeric) 3.3523013245539324 absolute error 2.9887203822909214e-13 relative error 8.915428814230703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 3.3563722534941007 y[1] (numeric) 3.3563722534943996 absolute error 2.9887203822909214e-13 relative error 8.904615330375107e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 3.360307546339525 y[1] (numeric) 3.360307546339825 absolute error 3.0020430585864233e-13 relative error 8.933834231502503e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 3.364106809563901 y[1] (numeric) 3.3641068095642024 absolute error 3.015365734881925e-13 relative error 8.963347199052863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 3.367769663244072 y[1] (numeric) 3.3677696632443745 absolute error 3.0242475190789264e-13 relative error 8.979971380126272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 3.3712957410977236 y[1] (numeric) 3.3712957410980264 absolute error 3.028688411177427e-13 relative error 8.983751779045228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 3.374684690520008 y[1] (numeric) 3.374684690520312 absolute error 3.0375701953744283e-13 relative error 9.00104890956899e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 3.3779361726188073 y[1] (numeric) 3.377936172619111 absolute error 3.0375701953744283e-13 relative error 8.99238481767847e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 3.381049862248621 y[1] (numeric) 3.3810498622489247 absolute error 3.0375701953744283e-13 relative error 8.984103515569699e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 3.3840254480430803 y[1] (numeric) 3.3840254480433845 absolute error 3.042011087472929e-13 relative error 8.989326865825043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 3.3868626324460864 y[1] (numeric) 3.386862632446391 absolute error 3.0464519795714295e-13 relative error 8.994908592945197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 3.389561131741563 y[1] (numeric) 3.389561131741868 absolute error 3.05089287166993e-13 relative error 9.000849234137799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 3.392120676081829 y[1] (numeric) 3.3921206760821354 absolute error 3.064215547965432e-13 relative error 9.033332951777076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 3.394541009514584 y[1] (numeric) 3.3945410095148896 absolute error 3.055333763768431e-13 relative error 9.000727212323002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 3.396821890008501 y[1] (numeric) 3.3968218900088063 absolute error 3.05089287166993e-13 relative error 8.981609782496706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 3.3989630894774314 y[1] (numeric) 3.398963089477737 absolute error 3.055333763768431e-13 relative error 8.9890171894693e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 3.400964393803213 y[1] (numeric) 3.400964393803519 absolute error 3.0597746558669314e-13 relative error 8.996785327838327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 3.4028256028570807 y[1] (numeric) 3.4028256028573862 absolute error 3.055333763768431e-13 relative error 8.978813845773087e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 3.4045465305196805 y[1] (numeric) 3.404546530519986 absolute error 3.055333763768431e-13 relative error 8.97427524159012e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 3.406127004699679 y[1] (numeric) 3.406127004699986 absolute error 3.0686564400639327e-13 relative error 9.00922495206399e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 3.407566867350977 y[1] (numeric) 3.407566867351284 absolute error 3.0686564400639327e-13 relative error 9.005418116562123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 3.4088659744885077 y[1] (numeric) 3.408865974488815 absolute error 3.0730973321624333e-13 relative error 9.015013658973624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 3.4100241962026416 y[1] (numeric) 3.410024196202948 absolute error 3.064215547965432e-13 relative error 8.985905587936011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 3.4110414166721705 y[1] (numeric) 3.411041416672477 absolute error 3.064215547965432e-13 relative error 8.983225864653665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 3.4119175341758963 y[1] (numeric) 3.4119175341762036 absolute error 3.0730973321624333e-13 relative error 9.006950787586076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 3.412652461102799 y[1] (numeric) 3.4126524611031064 absolute error 3.0730973321624333e-13 relative error 9.005011108483521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 3.4132461239607976 y[1] (numeric) 3.4132461239611054 absolute error 3.077538224260934e-13 relative error 9.01645563341239e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 3.413698463384102 y[1] (numeric) 3.413698463384409 absolute error 3.0730973321624333e-13 relative error 9.00225185418392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 3.4140094341391456 y[1] (numeric) 3.414009434139453 absolute error 3.0730973321624333e-13 relative error 9.00143186902858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 3.4141790051291125 y[1] (numeric) 3.41417900512942 absolute error 3.0730973321624333e-13 relative error 9.000984797650407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 3.414207159397045 y[1] (numeric) 3.414207159397353 absolute error 3.077538224260934e-13 relative error 9.01391766984764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 3.4140938941275403 y[1] (numeric) 3.4140938941278476 absolute error 3.0730973321624333e-13 relative error 9.001209185981549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 3.4138392206470303 y[1] (numeric) 3.413839220647337 absolute error 3.0686564400639327e-13 relative error 8.988872180929263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 3.413443164422651 y[1] (numeric) 3.4134431644229575 absolute error 3.064215547965432e-13 relative error 8.976905137612603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 3.412905765059695 y[1] (numeric) 3.4129057650600014 absolute error 3.064215547965432e-13 relative error 8.97831864956821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 3.4122270762976505 y[1] (numeric) 3.4122270762979574 absolute error 3.0686564400639327e-13 relative error 8.993119072818272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 3.4114071660048277 y[1] (numeric) 3.4114071660051346 absolute error 3.0686564400639327e-13 relative error 8.995280512521471e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 3.410446116171574 y[1] (numeric) 3.4104461161718804 absolute error 3.064215547965432e-13 relative error 8.984793905511675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 3.4093440229020704 y[1] (numeric) 3.4093440229023777 absolute error 3.0730973321624333e-13 relative error 9.013749599685689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 3.4081009964047255 y[1] (numeric) 3.408100996405033 absolute error 3.0730973321624333e-13 relative error 9.017037157655555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 3.406717160981154 y[1] (numeric) 3.4067171609814624 absolute error 3.0819791163594346e-13 relative error 9.04677133651978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 3.4051926550137446 y[1] (numeric) 3.4051926550140537 absolute error 3.090860900556436e-13 relative error 9.076904638583393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 3.4035276309518236 y[1] (numeric) 3.403527630952133 absolute error 3.0953017926549364e-13 relative error 9.094393018896428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 3.4017222552964097 y[1] (numeric) 3.40172225529672 absolute error 3.1041835768519377e-13 relative error 9.125329300529428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 3.3997767085835644 y[1] (numeric) 3.399776708583875 absolute error 3.1041835768519377e-13 relative error 9.13055133595883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 3.3976911853663374 y[1] (numeric) 3.3976911853666487 absolute error 3.113065361048939e-13 relative error 9.162296368948226e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 3.395465894195312 y[1] (numeric) 3.3954658941956235 absolute error 3.113065361048939e-13 relative error 9.168301075769459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 3.3931010575977516 y[1] (numeric) 3.3931010575980642 absolute error 3.126388037344441e-13 relative error 9.213954975917698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 3.390596912055345 y[1] (numeric) 3.390596912055658 absolute error 3.1308289294429414e-13 relative error 9.233857667690334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 3.38795370798056 y[1] (numeric) 3.3879537079808735 absolute error 3.135269821541442e-13 relative error 9.254169601420752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 3.3851717096916 y[1] (numeric) 3.3851717096919156 absolute error 3.157474282033945e-13 relative error 9.32736815977232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 3.3822511953859773 y[1] (numeric) 3.3822511953862944 absolute error 3.170796958329447e-13 relative error 9.374812144807596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 3.3791924571126883 y[1] (numeric) 3.3791924571130063 absolute error 3.1796787425264483e-13 relative error 9.409581676337215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 3.375995800743011 y[1] (numeric) 3.37599580074333 absolute error 3.1885605267234496e-13 relative error 9.444800038026382e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 3.3726615459399185 y[1] (numeric) 3.3726615459402383 absolute error 3.197442310920451e-13 relative error 9.480471928081843e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 3.369190026126113 y[1] (numeric) 3.3691900261264336 absolute error 3.206324095117452e-13 relative error 9.516602121739261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 3.3655815884506826 y[1] (numeric) 3.3655815884510036 absolute error 3.2107649872159527e-13 relative error 9.540000451137485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 3.361836593754388 y[1] (numeric) 3.36183659375471 absolute error 3.219646771412954e-13 relative error 9.57704719317532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 3.357955416533578 y[1] (numeric) 3.357955416533901 absolute error 3.232969447708456e-13 relative error 9.62779145842816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 3.35393844490274 y[1] (numeric) 3.353938444903065 absolute error 3.2507330161024584e-13 relative error 9.692285858862045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 3.3497860805556896 y[1] (numeric) 3.3497860805560165 absolute error 3.268496584496461e-13 relative error 9.757329291768554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 3.345498738725402 y[1] (numeric) 3.3454987387257304 absolute error 3.2862601528904634e-13 relative error 9.822930479245951e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 3.3410768481424866 y[1] (numeric) 3.341076848142817 absolute error 3.304023721284466e-13 relative error 9.889098250228453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 3.3365208509923177 y[1] (numeric) 3.33652085099265 absolute error 3.3217872896784684e-13 relative error 9.955841542817071e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 3.331831202870813 y[1] (numeric) 3.3318312028711468 absolute error 3.339550858072471e-13 relative error 1.002316940664643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 3.3270083727388764 y[1] (numeric) 3.3270083727392126 absolute error 3.361755318564974e-13 relative error 1.0104439009263728e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 3.322052842875503 y[1] (numeric) 3.3220528428758396 absolute error 3.3661962106634746e-13 relative error 1.0132879788118487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 3.3169651088295486 y[1] (numeric) 3.3169651088298875 absolute error 3.388400671155978e-13 relative error 1.0215364225979563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 3.311745679370178 y[1] (numeric) 3.311745679370519 absolute error 3.410605131648481e-13 relative error 1.0298511606413884e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 3.306395076435989 y[1] (numeric) 3.3063950764363312 absolute error 3.423927807943983e-13 relative error 1.0355470924650312e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 3.300913835082815 y[1] (numeric) 3.3009138350831586 absolute error 3.4372504842394846e-13 relative error 1.0413026985762715e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 3.2953025034302232 y[1] (numeric) 3.2953025034305687 absolute error 3.455014052633487e-13 relative error 1.0484664303313621e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 3.2895616426067043 y[1] (numeric) 3.2895616426070515 absolute error 3.4727776210274897e-13 relative error 1.0556961681604488e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 3.2836918266935555 y[1] (numeric) 3.283691826693904 absolute error 3.4861002973229915e-13 relative error 1.0616405196687556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 3.2776936426674768 y[1] (numeric) 3.277693642667828 absolute error 3.5127456499139953e-13 relative error 1.0717126226157081e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 3.2715676903418722 y[1] (numeric) 3.2715676903422257 absolute error 3.5349501104064984e-13 relative error 1.080506486490305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 3.26531458230687 y[1] (numeric) 3.265314582307225 absolute error 3.552713678800501e-13 relative error 1.0880157452672111e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 3.258934943868062 y[1] (numeric) 3.25893494386842 absolute error 3.5793590313915047e-13 relative error 1.09832171953182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 3.252429412983976 y[1] (numeric) 3.2524294129843367 absolute error 3.6060043839825084e-13 relative error 1.1087110359988232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 3.2457986402022794 y[1] (numeric) 3.2457986402026426 absolute error 3.632649736573512e-13 relative error 1.1191851803681587e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 3.2390432885947247 y[1] (numeric) 3.23904328859509 absolute error 3.6548541970660153e-13 relative error 1.1283746067659664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 3.2321640336908426 y[1] (numeric) 3.2321640336912107 absolute error 3.681499549657019e-13 relative error 1.1390200222768631e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 3.225161563410392 y[1] (numeric) 3.2251615634107624 absolute error 3.703704010149522e-13 relative error 1.1483778214921747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 3.2180365779945643 y[1] (numeric) 3.218036577994938 absolute error 3.7347902548390266e-13 relative error 1.1605804235968306e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 3.2107897899359643 y[1] (numeric) 3.2107897899363405 absolute error 3.7614356074300304e-13 relative error 1.1714985575262614e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 3.2034219239073582 y[1] (numeric) 3.203421923907737 absolute error 3.788080960021034e-13 relative error 1.182510780659371e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 3.1959337166892103 y[1] (numeric) 3.1959337166895914 absolute error 3.810285420513537e-13 relative error 1.1922291756603629e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 3.188325917096001 y[1] (numeric) 3.1883259170963854 absolute error 3.8413716652030416e-13 relative error 1.2048240252369961e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 3.180599285901351 y[1] (numeric) 3.1805992859017387 absolute error 3.8768988019910466e-13 relative error 1.218920855316853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 3.1727545957619396 y[1] (numeric) 3.17275459576233 absolute error 3.9035441545820504e-13 relative error 1.2303328343756164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 3.164792631140245 y[1] (numeric) 3.1647926311406382 absolute error 3.934630399271555e-13 relative error 1.2432506195055013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 3.1567141882260925 y[1] (numeric) 3.156714188226489 absolute error 3.965716643961059e-13 relative error 1.2562799187688207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 3.148520074857043 y[1] (numeric) 3.1485200748574425 absolute error 3.992361996552063e-13 relative error 1.2680122411902786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 3.1402111104376047 y[1] (numeric) 3.140211110438007 absolute error 4.0234482412415673e-13 relative error 1.2812668001422614e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 3.1317881258572955 y[1] (numeric) 3.131788125857701 absolute error 4.0545344859310717e-13 relative error 1.2946388206964619e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 3.1232519634075535 y[1] (numeric) 3.1232519634079616 absolute error 4.0811798385220754e-13 relative error 1.3067084840857336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 3.114603476697512 y[1] (numeric) 3.114603476697922 absolute error 4.098943406916078e-13 relative error 1.3160402078733583e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 3.1058435305686327 y[1] (numeric) 3.1058435305690453 absolute error 4.1255887595070817e-13 relative error 1.3283311663648905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 3.09697300100823 y[1] (numeric) 3.0969730010086463 absolute error 4.1611158962950867e-13 relative error 1.3436074176108159e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 3.087992775061868 y[1] (numeric) 3.087992775062287 absolute error 4.192202140984591e-13 relative error 1.3575815898405398e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 3.0789037507446566 y[1] (numeric) 3.07890375074508 absolute error 4.2321701698710967e-13 relative error 1.3745704680919349e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 3.069706836951455 y[1] (numeric) 3.0697068369518803 absolute error 4.2543746303636e-13 relative error 1.385922127530799e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 3.0604029533659762 y[1] (numeric) 3.0604029533664057 absolute error 4.2943426592501055e-13 relative error 1.4031951755003321e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 3.0509930303688284 y[1] (numeric) 3.0509930303692605 absolute error 4.3209880118411093e-13 relative error 1.4162562709357463e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 3.0414780089444675 y[1] (numeric) 3.0414780089449027 absolute error 4.3520742565306136e-13 relative error 1.4309076849255218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 3.031858840587107 y[1] (numeric) 3.0318588405875455 absolute error 4.383160501220118e-13 relative error 1.44570071750812e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 3.022136487205568 y[1] (numeric) 3.0221364872060095 absolute error 4.4142467459096224e-13 relative error 1.4606377854202326e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 3.012311921027086 y[1] (numeric) 3.0123119210275306 absolute error 4.445332990599127e-13 relative error 1.475721341992842e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 3.0023861245000916 y[1] (numeric) 3.0023861245005397 absolute error 4.480860127387132e-13 relative error 1.4924329988146383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 2.992360090195966 y[1] (numeric) 2.9923600901964176 absolute error 4.516387264175137e-13 relative error 1.5093060754861774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 2.9822348207097846 y[1] (numeric) 2.98223482071024 absolute error 4.551914400963142e-13 relative error 1.526343388304938e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 2.9720113285600585 y[1] (numeric) 2.972011328560517 absolute error 4.587441537751147e-13 relative error 1.543547796627601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 2.961690636087483 y[1] (numeric) 2.9616906360879454 absolute error 4.622968674539152e-13 relative error 1.5609222037607164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 2.951273775352705 y[1] (numeric) 2.9512737753531706 absolute error 4.654054919228656e-13 relative error 1.5769648204434888e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 2.9407617880331176 y[1] (numeric) 2.940761788033587 absolute error 4.694022948115162e-13 relative error 1.596192852891592e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 2.930155725318692 y[1] (numeric) 2.9301557253191652 absolute error 4.733990977001667e-13 relative error 1.6156107117777114e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 2.9194566478068613 y[1] (numeric) 2.9194566478073383 absolute error 4.769518113789672e-13 relative error 1.633700612534392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 2.908665625396462 y[1] (numeric) 2.9086656253969423 absolute error 4.805045250577678e-13 relative error 1.651975809327596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 2.897783737180741 y[1] (numeric) 2.897783737181225 absolute error 4.840572387365683e-13 relative error 1.670439489758157e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 2.886812071339453 y[1] (numeric) 2.8868120713399406 absolute error 4.876099524153688e-13 relative error 1.6890948921005532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 2.875751725030038 y[1] (numeric) 2.8757517250305296 absolute error 4.916067553040193e-13 relative error 1.7094895606778585e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 2.864603804277911 y[1] (numeric) 2.8646038042784068 absolute error 4.956035581926699e-13 relative error 1.7300946031439e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 2.853369423865857 y[1] (numeric) 2.853369423866357 absolute error 5.000444502911705e-13 relative error 1.7524700661216542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 2.842049707222555 y[1] (numeric) 2.842049707223058 absolute error 5.031530747601209e-13 relative error 1.770388017779733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 2.8306457863102366 y[1] (numeric) 2.8306457863107437 absolute error 5.071498776487715e-13 relative error 1.791640197800391e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 2.8191588015114895 y[1] (numeric) 2.819158801512 absolute error 5.10702591327572e-13 relative error 1.8115424752013233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 2.8075899015152213 y[1] (numeric) 2.807589901515736 absolute error 5.146993942162226e-13 relative error 1.8332427892636518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 2.795940243201791 y[1] (numeric) 2.7959402432023093 absolute error 5.182521078950231e-13 relative error 1.8535879268347414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 2.7842109915273214 y[1] (numeric) 2.784210991527844 absolute error 5.226929999935237e-13 relative error 1.877346945271531e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 2.7724033194072066 y[1] (numeric) 2.7724033194077324 absolute error 5.258016244624741e-13 relative error 1.8965553127922986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 2.760518407598818 y[1] (numeric) 2.7605184075993483 absolute error 5.302425165609748e-13 relative error 1.9208077551715935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 2.748557444583432 y[1] (numeric) 2.7485574445839664 absolute error 5.342393194496253e-13 relative error 1.943708036746505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 2.7365216264473844 y[1] (numeric) 2.736521626447922 absolute error 5.377920331284258e-13 relative error 1.9652394774844146e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 2.7244121567624577 y[1] (numeric) 2.7244121567629995 absolute error 5.417888360170764e-13 relative error 1.9886449070206344e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 2.7122302464655297 y[1] (numeric) 2.7122302464660755 absolute error 5.45785638905727e-13 relative error 2.0123130756209693e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 2.699977113737478 y[1] (numeric) 2.6999771137380284 absolute error 5.502265310042276e-13 relative error 2.0378933147420994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 2.687653983881365 y[1] (numeric) 2.687653983881919 absolute error 5.542233338928781e-13 relative error 2.062108207443053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.000000000000004 y[1] (closed_form) 2.6752620891999066 y[1] (numeric) 2.675262089200465 absolute error 5.582201367815287e-13 relative error 2.0865998102955072e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.010000000000008 y[1] (closed_form) 2.662802668872245 y[1] (numeric) 2.662802668872807 absolute error 5.622169396701793e-13 relative error 2.1113729013509306e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.020000000000011 y[1] (closed_form) 2.6502769688300294 y[1] (numeric) 2.6502769688305956 absolute error 5.662137425588298e-13 relative error 2.1364323397821554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0300000000000145 y[1] (closed_form) 2.637686241632827 y[1] (numeric) 2.6376862416333973 absolute error 5.702105454474804e-13 relative error 2.16178306747545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.040000000000018 y[1] (closed_form) 2.6250317463428647 y[1] (numeric) 2.625031746343439 absolute error 5.74207348336131e-13 relative error 2.187430110649533e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.050000000000021 y[1] (closed_form) 2.612314748399126 y[1] (numeric) 2.612314748399704 absolute error 5.782041512247815e-13 relative error 2.213378581501772e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0600000000000245 y[1] (closed_form) 2.5995365194908073 y[1] (numeric) 2.599536519491389 absolute error 5.81756864903582e-13 relative error 2.237925339927656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.070000000000028 y[1] (closed_form) 2.5866983374301524 y[1] (numeric) 2.5866983374307386 absolute error 5.861977570020827e-13 relative error 2.2662006949927592e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.080000000000031 y[1] (closed_form) 2.573801486024668 y[1] (numeric) 2.573801486025258 absolute error 5.897504706808832e-13 relative error 2.291359585745576e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0900000000000345 y[1] (closed_form) 2.560847254948747 y[1] (numeric) 2.560847254949341 absolute error 5.941913627793838e-13 relative error 2.320292089390064e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.100000000000038 y[1] (closed_form) 2.5478369396147027 y[1] (numeric) 2.547836939615301 absolute error 5.981881656680343e-13 relative error 2.3478275095520654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.110000000000041 y[1] (closed_form) 2.5347718410432254 y[1] (numeric) 2.5347718410438285 absolute error 6.03073146976385e-13 relative error 2.3792009095705465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1200000000000445 y[1] (closed_form) 2.521653265733286 y[1] (numeric) 2.5216532657338933 absolute error 6.070699498650356e-13 relative error 2.407428325355041e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.130000000000048 y[1] (closed_form) 2.508482525531483 y[1] (numeric) 2.5084825255320946 absolute error 6.115108419635362e-13 relative error 2.4377719826211376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.140000000000051 y[1] (closed_form) 2.4952609375008605 y[1] (numeric) 2.495260937501477 absolute error 6.163958232718869e-13 relative error 2.470265991055993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1500000000000545 y[1] (closed_form) 2.4819898237892044 y[1] (numeric) 2.4819898237898244 absolute error 6.199485369506874e-13 relative error 2.4977883914295197e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.160000000000058 y[1] (closed_form) 2.4686705114968257 y[1] (numeric) 2.468670511497451 absolute error 6.252776074688882e-13 relative error 2.5328516080088972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.170000000000061 y[1] (closed_form) 2.455304332543855 y[1] (numeric) 2.4553043325444843 absolute error 6.292744103575387e-13 relative error 2.562918176850075e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1800000000000646 y[1] (closed_form) 2.441892623537049 y[1] (numeric) 2.441892623537683 absolute error 6.341593916658894e-13 relative error 2.596999497657346e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.190000000000068 y[1] (closed_form) 2.428436725636131 y[1] (numeric) 2.4284367256367703 absolute error 6.390443729742401e-13 relative error 2.631505141674391e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.200000000000071 y[1] (closed_form) 2.41493798441968 y[1] (numeric) 2.414937984420323 absolute error 6.430411758628907e-13 relative error 2.6627647583977862e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.210000000000075 y[1] (closed_form) 2.401397749750567 y[1] (numeric) 2.4013977497512147 absolute error 6.474820679613913e-13 relative error 2.6962716527432625e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.220000000000078 y[1] (closed_form) 2.387817375640976 y[1] (numeric) 2.387817375641628 absolute error 6.519229600598919e-13 relative error 2.7302044398805512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.230000000000081 y[1] (closed_form) 2.374198220117001 y[1] (numeric) 2.374198220117658 absolute error 6.572520305780927e-13 relative error 2.7683115293789716e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.240000000000085 y[1] (closed_form) 2.3605416450828445 y[1] (numeric) 2.360541645083507 absolute error 6.625811010962934e-13 relative error 2.8069028245127182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.250000000000088 y[1] (closed_form) 2.346849016184631 y[1] (numeric) 2.3468490161852977 absolute error 6.66577903984944e-13 relative error 2.8403101323860497e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.260000000000091 y[1] (closed_form) 2.333121702673838 y[1] (numeric) 2.3331217026745095 absolute error 6.714628852932947e-13 relative error 2.8779591074215077e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.270000000000095 y[1] (closed_form) 2.3193610772703788 y[1] (numeric) 2.3193610772710547 absolute error 6.759037773917953e-13 relative error 2.914180909629027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.280000000000098 y[1] (closed_form) 2.3055685160253256 y[1] (numeric) 2.305568516026006 absolute error 6.803446694902959e-13 relative error 2.9508759542881555e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.290000000000101 y[1] (closed_form) 2.2917453981833096 y[1] (numeric) 2.291745398183994 absolute error 6.843414723789465e-13 relative error 2.98611474434041e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.300000000000105 y[1] (closed_form) 2.277893106044595 y[1] (numeric) 2.2778931060452843 absolute error 6.892264536872972e-13 relative error 3.0257190377299645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.310000000000108 y[1] (closed_form) 2.2640130248268533 y[1] (numeric) 2.264013024827548 absolute error 6.945555242054979e-13 relative error 3.067807104416354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.320000000000111 y[1] (closed_form) 2.250106542526639 y[1] (numeric) 2.250106542527337 absolute error 6.981082378842984e-13 relative error 3.1025563665105143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.330000000000115 y[1] (closed_form) 2.2361750497805932 y[1] (numeric) 2.236175049781296 absolute error 7.029932191926491e-13 relative error 3.1437307167058534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.340000000000118 y[1] (closed_form) 2.2222199397263815 y[1] (numeric) 2.222219939727088 absolute error 7.065459328714496e-13 relative error 3.179459963618387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.350000000000121 y[1] (closed_form) 2.2082426078633794 y[1] (numeric) 2.208242607864091 absolute error 7.114309141798003e-13 relative error 3.221706309109563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.360000000000125 y[1] (closed_form) 2.1942444519131263 y[1] (numeric) 2.1942444519138418 absolute error 7.154277170684509e-13 relative error 3.2604740845746745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.370000000000128 y[1] (closed_form) 2.1802268716795514 y[1] (numeric) 2.1802268716802717 absolute error 7.203126983768016e-13 relative error 3.3038428602703356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.380000000000131 y[1] (closed_form) 2.1661912689089973 y[1] (numeric) 2.1661912689097225 absolute error 7.251976796851523e-13 relative error 3.3478007694602065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.390000000000135 y[1] (closed_form) 2.1521390471500443 y[1] (numeric) 2.1521390471507753 absolute error 7.309708394132031e-13 relative error 3.396485187056971e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.400000000000138 y[1] (closed_form) 2.138071611613159 y[1] (numeric) 2.1380716116138947 absolute error 7.358558207215538e-13 relative error 3.4416799546127274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.410000000000141 y[1] (closed_form) 2.123990369030171 y[1] (numeric) 2.123990369030911 absolute error 7.402967128200544e-13 relative error 3.485405224121045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.420000000000145 y[1] (closed_form) 2.1098967275136054 y[1] (numeric) 2.10989672751435 absolute error 7.44737604918555e-13 relative error 3.529734869043502e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.430000000000148 y[1] (closed_form) 2.0957920964158685 y[1] (numeric) 2.0957920964166177 absolute error 7.491784970170556e-13 relative error 3.574679465097076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.440000000000151 y[1] (closed_form) 2.0816778861883165 y[1] (numeric) 2.081677886189071 absolute error 7.545075675352564e-13 relative error 3.6245164179401805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.450000000000155 y[1] (closed_form) 2.0675555082402104 y[1] (numeric) 2.0675555082409693 absolute error 7.58948459633757e-13 relative error 3.670752522043446e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.460000000000158 y[1] (closed_form) 2.053426374797576 y[1] (numeric) 2.05342637479834 absolute error 7.638334409421077e-13 relative error 3.7197995034879464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.470000000000161 y[1] (closed_form) 2.039291898761984 y[1] (numeric) 2.039291898762753 absolute error 7.691625114603085e-13 relative error 3.771713661625649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.480000000000165 y[1] (closed_form) 2.025153493569259 y[1] (numeric) 2.025153493570033 absolute error 7.740474927686591e-13 relative error 3.8221670368522475e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.490000000000168 y[1] (closed_form) 2.011012573048138 y[1] (numeric) 2.011012573048917 absolute error 7.789324740770098e-13 relative error 3.873334679834269e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.500000000000171 y[1] (closed_form) 1.9968705512788896 y[1] (numeric) 1.9968705512796732 absolute error 7.835954107804355e-13 relative error 3.924117215703262e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.510000000000175 y[1] (closed_form) 1.9827288424519052 y[1] (numeric) 1.9827288424526937 absolute error 7.884803920887862e-13 relative error 3.976743441698898e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.520000000000178 y[1] (closed_form) 1.9685888607262831 y[1] (numeric) 1.9685888607270763 absolute error 7.931433287922118e-13 relative error 4.028994294418555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.530000000000181 y[1] (closed_form) 1.9544520200884126 y[1] (numeric) 1.9544520200892104 absolute error 7.978062654956375e-13 relative error 4.081994632232248e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.540000000000185 y[1] (closed_form) 1.9403197342105767 y[1] (numeric) 1.9403197342113794 absolute error 8.026912468039882e-13 relative error 4.1369019376106324e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.550000000000188 y[1] (closed_form) 1.9261934163095864 y[1] (numeric) 1.9261934163103938 absolute error 8.073541835074138e-13 relative error 4.191449190259574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5600000000001915 y[1] (closed_form) 1.9120744790054596 y[1] (numeric) 1.9120744790062718 absolute error 8.122391648157645e-13 relative error 4.2479473144698845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.570000000000195 y[1] (closed_form) 1.8979643341801615 y[1] (numeric) 1.8979643341809782 absolute error 8.166800569142652e-13 relative error 4.302926257394798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.580000000000198 y[1] (closed_form) 1.8838643928364158 y[1] (numeric) 1.8838643928372372 absolute error 8.213429936176908e-13 relative error 4.3598838469527333e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5900000000002015 y[1] (closed_form) 1.869776064956607 y[1] (numeric) 1.8697760649574333 absolute error 8.262279749260415e-13 relative error 4.418860581281514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.600000000000205 y[1] (closed_form) 1.8557007593617834 y[1] (numeric) 1.855700759362614 absolute error 8.306688670245421e-13 relative error 4.476308277797049e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.610000000000208 y[1] (closed_form) 1.8416398835707746 y[1] (numeric) 1.8416398835716097 absolute error 8.351097591230427e-13 relative error 4.534598574743287e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6200000000002115 y[1] (closed_form) 1.827594843659442 y[1] (numeric) 1.8275948436602818 absolute error 8.397726958264684e-13 relative error 4.5949609605210367e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.630000000000215 y[1] (closed_form) 1.8135670441200733 y[1] (numeric) 1.813567044120918 absolute error 8.446576771348191e-13 relative error 4.657438388469611e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.640000000000218 y[1] (closed_form) 1.799557887720932 y[1] (numeric) 1.7995578877217817 absolute error 8.497647030480948e-13 relative error 4.7220748431954464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6500000000002215 y[1] (closed_form) 1.7855687753659844 y[1] (numeric) 1.7855687753668386 absolute error 8.542055951465954e-13 relative error 4.7839411560695036e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.660000000000225 y[1] (closed_form) 1.771601105954808 y[1] (numeric) 1.771601105955667 absolute error 8.590905764549461e-13 relative error 4.8492325589960474e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.670000000000228 y[1] (closed_form) 1.7576562762427046 y[1] (numeric) 1.7576562762435681 absolute error 8.635314685534468e-13 relative error 4.9129712118651276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6800000000002315 y[1] (closed_form) 1.7437356807010245 y[1] (numeric) 1.7437356807018922 absolute error 8.677503160470224e-13 relative error 4.976386763492535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.690000000000235 y[1] (closed_form) 1.729840711377721 y[1] (numeric) 1.7298407113785939 absolute error 8.728573419602981e-13 relative error 5.045882757985943e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.700000000000238 y[1] (closed_form) 1.715972757758148 y[1] (numeric) 1.7159727577590254 absolute error 8.772982340587987e-13 relative error 5.112541735248495e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.7100000000002415 y[1] (closed_form) 1.7021332066261108 y[1] (numeric) 1.7021332066269925 absolute error 8.817391261572993e-13 relative error 5.180200484455865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.720000000000245 y[1] (closed_form) 1.6883234419251893 y[1] (numeric) 1.6883234419260753 absolute error 8.859579736508749e-13 relative error 5.2475606963119584e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.730000000000248 y[1] (closed_form) 1.6745448446203457 y[1] (numeric) 1.6745448446212365 absolute error 8.908429549592256e-13 relative error 5.3199110063917e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.740000000000252 y[1] (closed_form) 1.6607987925598284 y[1] (numeric) 1.6607987925607237 absolute error 8.952838470577262e-13 relative error 5.3906821890073996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.750000000000255 y[1] (closed_form) 1.6470866603373882 y[1] (numeric) 1.6470866603382879 absolute error 8.997247391562269e-13 relative error 5.462522166088868e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.760000000000258 y[1] (closed_form) 1.6334098191548212 y[1] (numeric) 1.6334098191557256 absolute error 9.043876758596525e-13 relative error 5.536808125272639e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.770000000000262 y[1] (closed_form) 1.6197696366848477 y[1] (numeric) 1.6197696366857568 absolute error 9.090506125630782e-13 relative error 5.612221589877528e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.780000000000265 y[1] (closed_form) 1.6061674769343486 y[1] (numeric) 1.606167476935262 absolute error 9.134915046615788e-13 relative error 5.687398840905041e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.790000000000268 y[1] (closed_form) 1.5926047001079626 y[1] (numeric) 1.592604700108881 absolute error 9.183764859699295e-13 relative error 5.766506188934849e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.800000000000272 y[1] (closed_form) 1.5790826624720715 y[1] (numeric) 1.5790826624729941 absolute error 9.22595333463505e-13 relative error 5.842603147951557e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.810000000000275 y[1] (closed_form) 1.5656027162191697 y[1] (numeric) 1.5656027162200965 absolute error 9.268141809570807e-13 relative error 5.91985547390514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.820000000000278 y[1] (closed_form) 1.5521662093326498 y[1] (numeric) 1.552166209333581 absolute error 9.312550730555813e-13 relative error 5.999712321117802e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.830000000000282 y[1] (closed_form) 1.5387744854520027 y[1] (numeric) 1.5387744854529386 absolute error 9.35918009759007e-13 relative error 6.082229843342435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.840000000000285 y[1] (closed_form) 1.5254288837384573 y[1] (numeric) 1.5254288837393977 absolute error 9.403589018575076e-13 relative error 6.16455419116567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.850000000000288 y[1] (closed_form) 1.5121307387410634 y[1] (numeric) 1.5121307387420082 absolute error 9.447997939560082e-13 relative error 6.248135625776703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.860000000000292 y[1] (closed_form) 1.498881380263239 y[1] (numeric) 1.4988813802641883 absolute error 9.492406860545088e-13 relative error 6.332994048453652e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.870000000000295 y[1] (closed_form) 1.485682133229791 y[1] (numeric) 1.4856821332307446 absolute error 9.536815781530095e-13 relative error 6.419149539610861e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.880000000000298 y[1] (closed_form) 1.4725343175544232 y[1] (numeric) 1.4725343175553811 absolute error 9.57900425646585e-13 relative error 6.505114442680431e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.890000000000302 y[1] (closed_form) 1.4594392480077465 y[1] (numeric) 1.459439248008709 absolute error 9.625633623500107e-13 relative error 6.595432894270783e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.900000000000305 y[1] (closed_form) 1.4463982340858035 y[1] (numeric) 1.4463982340867703 absolute error 9.667822098435863e-13 relative error 6.68406658042307e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.910000000000308 y[1] (closed_form) 1.433412579879119 y[1] (numeric) 1.4334125798800899 absolute error 9.707790127322369e-13 relative error 6.772502392954466e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.920000000000312 y[1] (closed_form) 1.4204835839422916 y[1] (numeric) 1.420483583943267 absolute error 9.754419494356625e-13 relative error 6.866970941885174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.930000000000315 y[1] (closed_form) 1.4076125391641414 y[1] (numeric) 1.4076125391651213 absolute error 9.798828415341632e-13 relative error 6.961310831431143e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.940000000000318 y[1] (closed_form) 1.3948007326384202 y[1] (numeric) 1.3948007326394045 absolute error 9.843237336326638e-13 relative error 7.057092175243602e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.950000000000322 y[1] (closed_form) 1.3820494455351042 y[1] (numeric) 1.382049445536093 absolute error 9.887646257311644e-13 relative error 7.154336112398155e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.960000000000325 y[1] (closed_form) 1.3693599529722777 y[1] (numeric) 1.3693599529732707 absolute error 9.9298347322474e-13 relative error 7.251442333109055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.970000000000328 y[1] (closed_form) 1.3567335238886222 y[1] (numeric) 1.3567335238896194 absolute error 9.972023207183156e-13 relative error 7.35002344351431e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.980000000000332 y[1] (closed_form) 1.3441714209165245 y[1] (numeric) 1.344171420917526 absolute error 1.0014211682118912e-12 relative error 7.450100133278174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.990000000000335 y[1] (closed_form) 1.331674900255813 y[1] (numeric) 1.3316749002568187 absolute error 1.0056400157054668e-12 relative error 7.551693101013502e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.000000000000338 y[1] (closed_form) 1.3192452115481406 y[1] (numeric) 1.3192452115491502 absolute error 1.0096368185941174e-12 relative error 7.653139914825264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.010000000000342 y[1] (closed_form) 1.3068835977520192 y[1] (numeric) 1.3068835977530333 absolute error 1.014077710692618e-12 relative error 7.759510582556404e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.020000000000345 y[1] (closed_form) 1.2945912950185277 y[1] (numeric) 1.294591295019546 absolute error 1.0182965581861936e-12 relative error 7.865776342730778e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.030000000000348 y[1] (closed_form) 1.2823695325676958 y[1] (numeric) 1.2823695325687183 absolute error 1.0225154056797692e-12 relative error 7.97364082436036e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.040000000000352 y[1] (closed_form) 1.2702195325655838 y[1] (numeric) 1.2702195325666101 absolute error 1.0262901639634947e-12 relative error 8.07962826623047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.050000000000355 y[1] (closed_form) 1.2581425100020671 y[1] (numeric) 1.2581425100030974 absolute error 1.0302869668521453e-12 relative error 8.18895283055377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.060000000000358 y[1] (closed_form) 1.2461396725693374 y[1] (numeric) 1.2461396725703722 absolute error 1.0347278589506459e-12 relative error 8.303466150124289e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.070000000000362 y[1] (closed_form) 1.2342122205411363 y[1] (numeric) 1.2342122205421748 absolute error 1.0385026172343714e-12 relative error 8.41429536955195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.080000000000365 y[1] (closed_form) 1.2223613466527268 y[1] (numeric) 1.222361346653769 absolute error 1.042277375518097e-12 relative error 8.526753389022275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.0900000000003685 y[1] (closed_form) 1.2105882359816216 y[1] (numeric) 1.2105882359826683 absolute error 1.0467182676165976e-12 relative error 8.646360806305474e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.100000000000372 y[1] (closed_form) 1.1988940658290779 y[1] (numeric) 1.1988940658301284 absolute error 1.0504930259003231e-12 relative error 8.762183881307893e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.110000000000375 y[1] (closed_form) 1.1872800056023647 y[1] (numeric) 1.1872800056034198 absolute error 1.0551559626037488e-12 relative error 8.887170318920827e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1200000000003785 y[1] (closed_form) 1.1757472166978273 y[1] (numeric) 1.1757472166988863 absolute error 1.0589307208874743e-12 relative error 9.006448885004033e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.130000000000382 y[1] (closed_form) 1.164296852384745 y[1] (numeric) 1.1642968523858075 absolute error 1.0624834345662748e-12 relative error 9.125537292229786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.140000000000385 y[1] (closed_form) 1.1529300576900072 y[1] (numeric) 1.1529300576910737 absolute error 1.0664802374549254e-12 relative error 9.250172899401275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1500000000003885 y[1] (closed_form) 1.1416479692836117 y[1] (numeric) 1.141647969284682 absolute error 1.070254995738651e-12 relative error 9.37464984420933e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.160000000000392 y[1] (closed_form) 1.1304517153649964 y[1] (numeric) 1.1304517153660705 absolute error 1.0740297540223764e-12 relative error 9.500890125816628e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.170000000000395 y[1] (closed_form) 1.1193424155502236 y[1] (numeric) 1.1193424155513012 absolute error 1.077582467701177e-12 relative error 9.626924279211566e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1800000000003985 y[1] (closed_form) 1.108321180760017 y[1] (numeric) 1.1083211807610982 absolute error 1.0811351813799774e-12 relative error 9.754710098011506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.190000000000402 y[1] (closed_form) 1.0973891131086715 y[1] (numeric) 1.0973891131097562 absolute error 1.084687895058778e-12 relative error 9.884259667804489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.200000000000405 y[1] (closed_form) 1.0865473057938417 y[1] (numeric) 1.08654730579493 absolute error 1.0882406087375784e-12 relative error 1.0015584254221675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.2100000000004085 y[1] (closed_form) 1.0757968429872244 y[1] (numeric) 1.0757968429883165 absolute error 1.092015367021304e-12 relative error 1.0150758241575097e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.220000000000412 y[1] (closed_form) 1.0651387997261421 y[1] (numeric) 1.0651387997272375 absolute error 1.0953460360951794e-12 relative error 1.0283599061237877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.230000000000415 y[1] (closed_form) 1.0545742418060386 y[1] (numeric) 1.0545742418071373 absolute error 1.098676705169055e-12 relative error 1.0418201598471507e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.2400000000004185 y[1] (closed_form) 1.0441042256739024 y[1] (numeric) 1.0441042256750046 absolute error 1.1022294188478554e-12 relative error 1.0556699146930824e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.250000000000422 y[1] (closed_form) 1.0337297983226217 y[1] (numeric) 1.0337297983237272 absolute error 1.1055600879217309e-12 relative error 1.0694865231859084e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.260000000000425 y[1] (closed_form) 1.0234519971862863 y[1] (numeric) 1.0234519971873957 absolute error 1.1093348462054564e-12 relative error 1.0839148775470491e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.270000000000429 y[1] (closed_form) 1.0132718500364453 y[1] (numeric) 1.013271850037558 absolute error 1.1126655152793319e-12 relative error 1.0980918055103491e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.280000000000432 y[1] (closed_form) 1.0031903748793298 y[1] (numeric) 1.003190374880446 absolute error 1.1162182289581324e-12 relative error 1.1126683996468748e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.290000000000435 y[1] (closed_form) 0.9932085798540544 y[1] (numeric) 0.9932085798551741 absolute error 1.1196599203344704e-12 relative error 1.1273159969067094e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.300000000000439 y[1] (closed_form) 0.9833274631318037 y[1] (numeric) 0.9833274631329267 absolute error 1.1229905894083458e-12 relative error 1.1420311457911777e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.310000000000442 y[1] (closed_form) 0.9735480128160157 y[1] (numeric) 0.9735480128171419 absolute error 1.1262102361797588e-12 relative error 1.1568101638070866e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.320000000000445 y[1] (closed_form) 0.9638712068435725 y[1] (numeric) 0.9638712068447017 absolute error 1.1292078383462467e-12 relative error 1.1715339459554027e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.330000000000449 y[1] (closed_form) 0.9542980128870069 y[1] (numeric) 0.9542980128881395 absolute error 1.1326495297225847e-12 relative error 1.1868928934432303e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.340000000000452 y[1] (closed_form) 0.9448293882577373 y[1] (numeric) 0.9448293882588731 absolute error 1.1357581541915351e-12 relative error 1.2020775055334275e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.350000000000455 y[1] (closed_form) 0.9354662798103364 y[1] (numeric) 0.9354662798114751 absolute error 1.138755756358023e-12 relative error 1.21731352688512e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.360000000000459 y[1] (closed_form) 0.9262096238478456 y[1] (numeric) 0.9262096238489876 absolute error 1.1420864254318985e-12 relative error 1.2330755328229202e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.370000000000462 y[1] (closed_form) 0.917060346028148 y[1] (numeric) 0.9170603460292932 absolute error 1.145195049900849e-12 relative error 1.2487673846773205e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.380000000000465 y[1] (closed_form) 0.9080193612714009 y[1] (numeric) 0.9080193612725492 absolute error 1.1483036743697994e-12 relative error 1.2646246581812468e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.390000000000469 y[1] (closed_form) 0.899087573668546 y[1] (numeric) 0.8990875736696972 absolute error 1.1511902542338248e-12 relative error 1.28039835934627e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.400000000000472 y[1] (closed_form) 0.8902658763909003 y[1] (numeric) 0.8902658763920543 absolute error 1.1540768340978502e-12 relative error 1.2963282820368542e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.410000000000475 y[1] (closed_form) 0.8815551516008402 y[1] (numeric) 0.8815551516019972 absolute error 1.1569634139618756e-12 relative error 1.312411834768266e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.420000000000479 y[1] (closed_form) 0.8729562703635859 y[1] (numeric) 0.8729562703647459 absolute error 1.1599610161283636e-12 relative error 1.3287733366589375e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.430000000000482 y[1] (closed_form) 0.8644700925600952 y[1] (numeric) 0.864470092561258 absolute error 1.1627365736899264e-12 relative error 1.345028108776472e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.440000000000485 y[1] (closed_form) 0.856097466801077 y[1] (numeric) 0.8560974668022424 absolute error 1.1654011089490268e-12 relative error 1.3612948923954937e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.450000000000489 y[1] (closed_form) 0.8478392303421296 y[1] (numeric) 0.8478392303432979 absolute error 1.1682876888130522e-12 relative error 1.37795898916073e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.460000000000492 y[1] (closed_form) 0.8396962090000173 y[1] (numeric) 0.8396962090011884 absolute error 1.1710632463746151e-12 relative error 1.3946272876106208e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.470000000000495 y[1] (closed_form) 0.8316692170700887 y[1] (numeric) 0.8316692170712623 absolute error 1.173616759331253e-12 relative error 1.411158108587716e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.480000000000499 y[1] (closed_form) 0.8237590572448472 y[1] (numeric) 0.8237590572460235 absolute error 1.1762812945903534e-12 relative error 1.4279433825280849e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.490000000000502 y[1] (closed_form) 0.815966520533684 y[1] (numeric) 0.8159665205348626 absolute error 1.1786127629420662e-12 relative error 1.444437649440804e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.500000000000505 y[1] (closed_form) 0.8082923861837763 y[1] (numeric) 0.8082923861849574 absolute error 1.1810552535962415e-12 relative error 1.4611733003850322e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.510000000000509 y[1] (closed_form) 0.8007374216021637 y[1] (numeric) 0.8007374216033473 absolute error 1.1836087665528794e-12 relative error 1.478148434957172e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.520000000000512 y[1] (closed_form) 0.7933023822790087 y[1] (numeric) 0.7933023822801951 absolute error 1.1863843241144423e-12 relative error 1.4955007707227387e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.530000000000515 y[1] (closed_form) 0.785988011712048 y[1] (numeric) 0.7859880117132367 absolute error 1.1887157924661551e-12 relative error 1.5123841264154663e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.540000000000519 y[1] (closed_form) 0.7787950413322432 y[1] (numeric) 0.778795041333434 absolute error 1.190825216212943e-12 relative error 1.529061117512846e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.550000000000522 y[1] (closed_form) 0.7717241904306374 y[1] (numeric) 0.7717241904318308 absolute error 1.1933787291695808e-12 relative error 1.5463798387655203e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.560000000000525 y[1] (closed_form) 0.764776166086429 y[1] (numeric) 0.7647761660876249 absolute error 1.1959322421262186e-12 relative error 1.563767668448841e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.570000000000529 y[1] (closed_form) 0.7579516630962623 y[1] (numeric) 0.7579516630974605 absolute error 1.1982637104779315e-12 relative error 1.5809236509660486e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.580000000000532 y[1] (closed_form) 0.7512513639047493 y[1] (numeric) 0.7512513639059495 absolute error 1.2001510896197942e-12 relative error 1.5975359876643905e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.590000000000535 y[1] (closed_form) 0.7446759385362256 y[1] (numeric) 0.7446759385374278 absolute error 1.2021494910641195e-12 relative error 1.6143256802779584e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.600000000000539 y[1] (closed_form) 0.7382260445277482 y[1] (numeric) 0.7382260445289528 absolute error 1.2045919817182948e-12 relative error 1.6317386668319e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.610000000000542 y[1] (closed_form) 0.7319023268633436 y[1] (numeric) 0.7319023268645501 absolute error 1.2065903831626201e-12 relative error 1.6485674916947045e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6200000000005454 y[1] (closed_form) 0.7257054179095079 y[1] (numeric) 0.7257054179107167 absolute error 1.2088108292118704e-12 relative error 1.66570456741802e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.630000000000549 y[1] (closed_form) 0.7196359373519728 y[1] (numeric) 0.7196359373531838 absolute error 1.2109202529586582e-12 relative error 1.6826845215852512e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.640000000000552 y[1] (closed_form) 0.7136944921337364 y[1] (numeric) 0.7136944921349491 absolute error 1.2126966097980585e-12 relative error 1.6991816851107436e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6500000000005555 y[1] (closed_form) 0.7078816763943687 y[1] (numeric) 0.7078816763955833 absolute error 1.2145839889399213e-12 relative error 1.715800859723431e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.660000000000559 y[1] (closed_form) 0.7021980714106001 y[1] (numeric) 0.7021980714118164 absolute error 1.2163603457793215e-12 relative error 1.7322182946698418e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.670000000000562 y[1] (closed_form) 0.6966442455381925 y[1] (numeric) 0.6966442455394106 absolute error 1.2181367026187218e-12 relative error 1.748577857953381e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6800000000005655 y[1] (closed_form) 0.6912207541551048 y[1] (numeric) 0.6912207541563248 absolute error 1.2200240817605845e-12 relative error 1.7650281396018678e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.690000000000569 y[1] (closed_form) 0.6859281396059562 y[1] (numeric) 0.6859281396071778 absolute error 1.2215783939950597e-12 relative error 1.7809130774206428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.700000000000572 y[1] (closed_form) 0.680766931147791 y[1] (numeric) 0.6807669311490141 absolute error 1.223132706229535e-12 relative error 1.7966981800471728e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7100000000005755 y[1] (closed_form) 0.6757376448971537 y[1] (numeric) 0.6757376448983785 absolute error 1.2247980407664727e-12 relative error 1.812534864700168e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.720000000000579 y[1] (closed_form) 0.6708407837784782 y[1] (numeric) 0.6708407837797048 absolute error 1.226574397605873e-12 relative error 1.828413577804933e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.730000000000582 y[1] (closed_form) 0.6660768374737963 y[1] (numeric) 0.6660768374750243 absolute error 1.2280176875378856e-12 relative error 1.8436576960029724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7400000000005855 y[1] (closed_form) 0.6614462823737681 y[1] (numeric) 0.6614462823749977 absolute error 1.2295719997723609e-12 relative error 1.8589143707327663e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.750000000000589 y[1] (closed_form) 0.6569495815300448 y[1] (numeric) 0.656949581531276 absolute error 1.2312373343092986e-12 relative error 1.8741732530550208e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.760000000000592 y[1] (closed_form) 0.6525871846089637 y[1] (numeric) 0.6525871846101964 absolute error 1.2326806242413113e-12 relative error 1.8889133181184748e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7700000000005955 y[1] (closed_form) 0.6483595278465817 y[1] (numeric) 0.6483595278478157 absolute error 1.2340128918708615e-12 relative error 1.9032848888169038e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.780000000000599 y[1] (closed_form) 0.6442670340050516 y[1] (numeric) 0.6442670340062872 absolute error 1.2355672041053367e-12 relative error 1.9177874062940938e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.790000000000602 y[1] (closed_form) 0.6403101123303476 y[1] (numeric) 0.6403101123315845 absolute error 1.236899471734887e-12 relative error 1.9317194089490626e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.800000000000606 y[1] (closed_form) 0.6364891585113391 y[1] (numeric) 0.6364891585125777 absolute error 1.2385648062718246e-12 relative error 1.9459322907693477e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.810000000000609 y[1] (closed_form) 0.6328045546402248 y[1] (numeric) 0.6328045546414645 absolute error 1.2396750292964498e-12 relative error 1.959017235584304e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.820000000000612 y[1] (closed_form) 0.6292566691743207 y[1] (numeric) 0.6292566691755613 absolute error 1.2406742300186124e-12 relative error 1.9716505057412637e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.830000000000616 y[1] (closed_form) 0.6258458568992167 y[1] (numeric) 0.6258458569004587 absolute error 1.2420064976481626e-12 relative error 1.9845245981202837e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.840000000000619 y[1] (closed_form) 0.6225724588932985 y[1] (numeric) 0.6225724588945415 absolute error 1.2430056983703253e-12 relative error 1.996563902906861e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.850000000000622 y[1] (closed_form) 0.6194368024936383 y[1] (numeric) 0.6194368024948825 absolute error 1.244226943697413e-12 relative error 2.0086422677641782e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.860000000000626 y[1] (closed_form) 0.6164392012632637 y[1] (numeric) 0.6164392012645087 absolute error 1.2450040998146505e-12 relative error 2.019670548633627e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.870000000000629 y[1] (closed_form) 0.6135799549597992 y[1] (numeric) 0.6135799549610451 absolute error 1.2458922782343507e-12 relative error 2.0305296288826441e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.880000000000632 y[1] (closed_form) 0.6108593495054927 y[1] (numeric) 0.6108593495067396 absolute error 1.2468914789565133e-12 relative error 2.0412087986635647e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.890000000000636 y[1] (closed_form) 0.6082776569586225 y[1] (numeric) 0.60827765695987 absolute error 1.2475576127712884e-12 relative error 2.0509673477225094e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.900000000000639 y[1] (closed_form) 0.6058351354862914 y[1] (numeric) 0.60583513548754 absolute error 1.248556813493451e-12 relative error 2.0608854461556775e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.910000000000642 y[1] (closed_form) 0.6035320293386117 y[1] (numeric) 0.6035320293398612 absolute error 1.2494449919131512e-12 relative error 2.0702215146433428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.920000000000646 y[1] (closed_form) 0.601368568824279 y[1] (numeric) 0.6013685688255291 absolute error 1.2501111257279263e-12 relative error 2.0787769606449302e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.930000000000649 y[1] (closed_form) 0.5993449702875415 y[1] (numeric) 0.5993449702887923 absolute error 1.2507772595427014e-12 relative error 2.0869070761411895e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.940000000000652 y[1] (closed_form) 0.5974614360865669 y[1] (numeric) 0.5974614360878184 absolute error 1.251554415659939e-12 relative error 2.0947869436691139e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.950000000000656 y[1] (closed_form) 0.5957181545732053 y[1] (numeric) 0.5957181545744575 absolute error 1.252220549474714e-12 relative error 2.1020352323689908e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.960000000000659 y[1] (closed_form) 0.5941153000741556 y[1] (numeric) 0.5941153000754084 absolute error 1.2527756609870266e-12 relative error 2.1086406305824125e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.970000000000662 y[1] (closed_form) 0.5926530328735319 y[1] (numeric) 0.5926530328747851 absolute error 1.2532197501968767e-12 relative error 2.1145926548633815e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.980000000000666 y[1] (closed_form) 0.5913314991968358 y[1] (numeric) 0.5913314991980894 absolute error 1.2535528171042642e-12 relative error 2.1198816887090867e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 6.990000000000669 y[1] (closed_form) 0.5901508311963334 y[1] (numeric) 0.5901508311975874 absolute error 1.2539969063141143e-12 relative error 2.124875269212203e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.000000000000672 y[1] (closed_form) 0.5891111469378412 y[1] (numeric) 0.5891111469390955 absolute error 1.2543299732215019e-12 relative error 2.1291906964270189e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.010000000000676 y[1] (closed_form) 0.5882125503889185 y[1] (numeric) 0.588212550390173 absolute error 1.2544409955239644e-12 relative error 2.1326321492027742e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.020000000000679 y[1] (closed_form) 0.5874551314084712 y[1] (numeric) 0.5874551314097262 absolute error 1.254996107036277e-12 relative error 2.136326742141689e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.030000000000682 y[1] (closed_form) 0.5868389657377666 y[1] (numeric) 0.5868389657390217 absolute error 1.2551071293387395e-12 relative error 2.1387590167275863e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.040000000000686 y[1] (closed_form) 0.5863641149928579 y[1] (numeric) 0.5863641149941132 absolute error 1.2553291739436645e-12 relative error 2.1408697119177471e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.050000000000689 y[1] (closed_form) 0.586030626658424 y[1] (numeric) 0.5860306266596794 absolute error 1.255440196246127e-12 relative error 2.142277449567286e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.060000000000692 y[1] (closed_form) 0.5858385340830206 y[1] (numeric) 0.5858385340842758 absolute error 1.255218151641202e-12 relative error 2.1426008680120758e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.070000000000696 y[1] (closed_form) 0.5857878564757452 y[1] (numeric) 0.5857878564770003 absolute error 1.2551071293387395e-12 relative error 2.1425967019695428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.080000000000699 y[1] (closed_form) 0.5858785989043157 y[1] (numeric) 0.585878598905571 absolute error 1.2553291739436645e-12 relative error 2.14264384514356e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.090000000000702 y[1] (closed_form) 0.5861107522945657 y[1] (numeric) 0.5861107522958208 absolute error 1.2551071293387395e-12 relative error 2.141416318375186e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.100000000000706 y[1] (closed_form) 0.5864842934313489 y[1] (numeric) 0.5864842934326039 absolute error 1.254996107036277e-12 relative error 2.1398631149926626e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.110000000000709 y[1] (closed_form) 0.5869991849608631 y[1] (numeric) 0.586999184962118 absolute error 1.2548850847338144e-12 relative error 2.1377969797649399e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.120000000000712 y[1] (closed_form) 0.5876553753943851 y[1] (numeric) 0.5876553753956395 absolute error 1.2544409955239644e-12 relative error 2.134654166452725e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.130000000000716 y[1] (closed_form) 0.5884527991134174 y[1] (numeric) 0.5884527991146716 absolute error 1.2542189509190393e-12 relative error 2.1313841191828594e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.140000000000719 y[1] (closed_form) 0.5893913763762534 y[1] (numeric) 0.589391376377507 absolute error 1.2536638394067268e-12 relative error 2.127048154512559e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1500000000007224 y[1] (closed_form) 0.5904710133259482 y[1] (numeric) 0.5904710133272015 absolute error 1.2533307724993392e-12 relative error 2.1225949186560377e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.160000000000726 y[1] (closed_form) 0.5916916019997072 y[1] (numeric) 0.59169160200096 absolute error 1.2528866832894892e-12 relative error 2.117465718720999e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.170000000000729 y[1] (closed_form) 0.5930530203396795 y[1] (numeric) 0.5930530203409323 absolute error 1.2527756609870266e-12 relative error 2.1124176389313077e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1800000000007325 y[1] (closed_form) 0.5945551322051665 y[1] (numeric) 0.5945551322064184 absolute error 1.2518874825673265e-12 relative error 2.1055868745496432e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.190000000000736 y[1] (closed_form) 0.5961977873862329 y[1] (numeric) 0.5961977873874842 absolute error 1.251332371055014e-12 relative error 2.0988544364462182e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.200000000000739 y[1] (closed_form) 0.5979808216187291 y[1] (numeric) 0.59798082161998 absolute error 1.2508882818451639e-12 relative error 2.0918535120558208e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2100000000007425 y[1] (closed_form) 0.5999040566007184 y[1] (numeric) 0.5999040566019684 absolute error 1.2500001034254637e-12 relative error 2.0836666958187173e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.220000000000746 y[1] (closed_form) 0.6019673000103051 y[1] (numeric) 0.6019673000115542 absolute error 1.2491119250057636e-12 relative error 2.0750494669467595e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.230000000000749 y[1] (closed_form) 0.6041703455248674 y[1] (numeric) 0.6041703455261158 absolute error 1.2484457911909885e-12 relative error 2.0663804512060466e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2400000000007525 y[1] (closed_form) 0.6065129728416895 y[1] (numeric) 0.6065129728429373 absolute error 1.2477796573762134e-12 relative error 2.0573008546379532e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.250000000000756 y[1] (closed_form) 0.6089949476999924 y[1] (numeric) 0.6089949477012393 absolute error 1.2468914789565133e-12 relative error 2.0474578379766236e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.260000000000759 y[1] (closed_form) 0.6116160219043585 y[1] (numeric) 0.6116160219056043 absolute error 1.2457812559318882e-12 relative error 2.0368682495480757e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2700000000007625 y[1] (closed_form) 0.6143759333495514 y[1] (numeric) 0.6143759333507963 absolute error 1.244893077512188e-12 relative error 2.026272531095227e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.280000000000766 y[1] (closed_form) 0.6172744060467265 y[1] (numeric) 0.6172744060479705 absolute error 1.244004899092488e-12 relative error 2.0153190978054568e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.290000000000769 y[1] (closed_form) 0.6203111501510296 y[1] (numeric) 0.6203111501522727 absolute error 1.2431167206727878e-12 relative error 2.004021240582442e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.3000000000007725 y[1] (closed_form) 0.6234858619905809 y[1] (numeric) 0.6234858619918227 absolute error 1.2417844530432376e-12 relative error 1.99168021080484e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.310000000000776 y[1] (closed_form) 0.6267982240968419 y[1] (numeric) 0.6267982240980824 absolute error 1.2404521854136874e-12 relative error 1.979029514962433e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.320000000000779 y[1] (closed_form) 0.6302479052363622 y[1] (numeric) 0.6302479052376014 absolute error 1.2392309400865997e-12 relative error 1.9662595143760935e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.330000000000783 y[1] (closed_form) 0.6338345604439025 y[1] (numeric) 0.6338345604451407 absolute error 1.238231739364437e-12 relative error 1.9535566796756055e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.340000000000786 y[1] (closed_form) 0.6375578310569316 y[1] (numeric) 0.6375578310581683 absolute error 1.2366774271299619e-12 relative error 1.9397101986494632e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.350000000000789 y[1] (closed_form) 0.64141734475149 y[1] (numeric) 0.6414173447527257 absolute error 1.2356782264077992e-12 relative error 1.9264808420273525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.360000000000793 y[1] (closed_form) 0.645412715579425 y[1] (numeric) 0.6454127155806595 absolute error 1.2344569810807116e-12 relative error 1.9126629384307479e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.370000000000796 y[1] (closed_form) 0.6495435440069833 y[1] (numeric) 0.6495435440082165 absolute error 1.2331247134511614e-12 relative error 1.8984481099513536e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.380000000000799 y[1] (closed_form) 0.6538094169547644 y[1] (numeric) 0.6538094169559961 absolute error 1.2317924458216112e-12 relative error 1.884023713758831e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.390000000000803 y[1] (closed_form) 0.6582099078390281 y[1] (numeric) 0.6582099078402585 absolute error 1.2303491558895985e-12 relative error 1.8692352412757858e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.400000000000806 y[1] (closed_form) 0.6627445766143536 y[1] (numeric) 0.6627445766155822 absolute error 1.2285727990501982e-12 relative error 1.8537651493526986e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.410000000000809 y[1] (closed_form) 0.6674129698176418 y[1] (numeric) 0.6674129698188689 absolute error 1.2271295091181855e-12 relative error 1.8386359939236363e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.420000000000813 y[1] (closed_form) 0.6722146206134627 y[1] (numeric) 0.672214620614688 absolute error 1.2252421299763228e-12 relative error 1.8226948542984194e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.430000000000816 y[1] (closed_form) 0.6771490488407382 y[1] (numeric) 0.6771490488419618 absolute error 1.223576795439385e-12 relative error 1.8069534285459265e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.440000000000819 y[1] (closed_form) 0.682215761060758 y[1] (numeric) 0.6822157610619796 absolute error 1.2215783939950597e-12 relative error 1.7906041808469246e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.450000000000823 y[1] (closed_form) 0.6874142506065215 y[1] (numeric) 0.6874142506077416 absolute error 1.220135104063047e-12 relative error 1.7749633543187293e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.460000000000826 y[1] (closed_form) 0.6927439976334069 y[1] (numeric) 0.6927439976346249 absolute error 1.2180256803162592e-12 relative error 1.7582623371365914e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.470000000000829 y[1] (closed_form) 0.6982044691711525 y[1] (numeric) 0.6982044691723688 absolute error 1.216249323476859e-12 relative error 1.741967256269047e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.480000000000833 y[1] (closed_form) 0.7037951191771553 y[1] (numeric) 0.7037951191783698 absolute error 1.2144729666374587e-12 relative error 1.7256058383260235e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.490000000000836 y[1] (closed_form) 0.7095153885910731 y[1] (numeric) 0.7095153885922858 absolute error 1.2126966097980585e-12 relative error 1.709190003907008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.500000000000839 y[1] (closed_form) 0.7153647053907317 y[1] (numeric) 0.7153647053919425 absolute error 1.2108092306561957e-12 relative error 1.6925761384814933e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.510000000000843 y[1] (closed_form) 0.7213424846493254 y[1] (numeric) 0.7213424846505343 absolute error 1.208921851514333e-12 relative error 1.675933245637182e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.520000000000846 y[1] (closed_form) 0.72744812859391 y[1] (numeric) 0.727448128595117 absolute error 1.2070344723724702e-12 relative error 1.659272221519844e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.530000000000849 y[1] (closed_form) 0.7336810266651789 y[1] (numeric) 0.7336810266663839 absolute error 1.205036070928145e-12 relative error 1.6424522743969943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.540000000000853 y[1] (closed_form) 0.7400405555785192 y[1] (numeric) 0.7400405555797221 absolute error 1.2029266471813571e-12 relative error 1.6254874656713662e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.550000000000856 y[1] (closed_form) 0.7465260793863387 y[1] (numeric) 0.7465260793875398 absolute error 1.2010392680394943e-12 relative error 1.608837656451032e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.560000000000859 y[1] (closed_form) 0.753136949541662 y[1] (numeric) 0.7531369495428607 absolute error 1.1987077996877815e-12 relative error 1.5916199575884326e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.570000000000863 y[1] (closed_form) 0.7598725049629818 y[1] (numeric) 0.7598725049641785 absolute error 1.1967093982434562e-12 relative error 1.5748818261318135e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.580000000000866 y[1] (closed_form) 0.7667320721003692 y[1] (numeric) 0.7667320721015636 absolute error 1.1943779298917434e-12 relative error 1.5577513623760258e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.590000000000869 y[1] (closed_form) 0.7737149650028269 y[1] (numeric) 0.7737149650040189 absolute error 1.1920464615400306e-12 relative error 1.5406790813922995e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.600000000000873 y[1] (closed_form) 0.7808204853868838 y[1] (numeric) 0.7808204853880731 absolute error 1.1893819262809302e-12 relative error 1.5232463140251897e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.610000000000876 y[1] (closed_form) 0.7880479227064222 y[1] (numeric) 0.7880479227076094 absolute error 1.1871614802316799e-12 relative error 1.5064584856141327e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.620000000000879 y[1] (closed_form) 0.7953965542237336 y[1] (numeric) 0.7953965542249181 absolute error 1.1844969449725795e-12 relative error 1.48919044052006e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.630000000000883 y[1] (closed_form) 0.8028656450817897 y[1] (numeric) 0.8028656450829716 absolute error 1.1819434320159417e-12 relative error 1.4721559444675633e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.640000000000886 y[1] (closed_form) 0.8104544483777291 y[1] (numeric) 0.8104544483789085 absolute error 1.1793899190593038e-12 relative error 1.455220489467441e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.650000000000889 y[1] (closed_form) 0.8181622052375462 y[1] (numeric) 0.8181622052387231 absolute error 1.176836406102666e-12 relative error 1.4383900876489178e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.660000000000893 y[1] (closed_form) 0.8259881448919781 y[1] (numeric) 0.8259881448931523 absolute error 1.1741718708435656e-12 relative error 1.421535984632228e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.670000000000896 y[1] (closed_form) 0.8339314847535809 y[1] (numeric) 0.8339314847547524 absolute error 1.1715073355844652e-12 relative error 1.4048004626310935e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.680000000000899 y[1] (closed_form) 0.8419914304949878 y[1] (numeric) 0.8419914304961567 absolute error 1.1688428003253648e-12 relative error 1.388188475550432e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.690000000000903 y[1] (closed_form) 0.8501671761283415 y[1] (numeric) 0.8501671761295078 absolute error 1.166289287368727e-12 relative error 1.3718352344300147e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.700000000000906 y[1] (closed_form) 0.8584579040858915 y[1] (numeric) 0.858457904087055 absolute error 1.163513729807164e-12 relative error 1.3553532727339775e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7100000000009095 y[1] (closed_form) 0.8668627853017512 y[1] (numeric) 0.8668627853029119 absolute error 1.1607381722456012e-12 relative error 1.339010270052778e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.720000000000913 y[1] (closed_form) 0.8753809792948027 y[1] (numeric) 0.8753809792959609 absolute error 1.1581846592889633e-12 relative error 1.3230635422556063e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.730000000000916 y[1] (closed_form) 0.8840116342527456 y[1] (numeric) 0.884011634253901 absolute error 1.1552980794249379e-12 relative error 1.3068810801359085e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7400000000009195 y[1] (closed_form) 0.8927538871172761 y[1] (numeric) 0.8927538871184285 absolute error 1.1524114995609125e-12 relative error 1.290850161719348e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.750000000000923 y[1] (closed_form) 0.901606863670393 y[1] (numeric) 0.9016068636715423 absolute error 1.149302875091962e-12 relative error 1.2747272912422293e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.760000000000926 y[1] (closed_form) 0.9105696786218181 y[1] (numeric) 0.9105696786229646 absolute error 1.1464162952279366e-12 relative error 1.2590099606249588e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7700000000009295 y[1] (closed_form) 0.9196414356975258 y[1] (numeric) 0.9196414356986691 absolute error 1.1433076707589862e-12 relative error 1.2432102625865429e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.780000000000933 y[1] (closed_form) 0.9288212277293679 y[1] (numeric) 0.928821227730508 absolute error 1.1400880239875733e-12 relative error 1.2274568990791437e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.790000000000936 y[1] (closed_form) 0.9381081367457911 y[1] (numeric) 0.9381081367469281 absolute error 1.1369793995186228e-12 relative error 1.2119918322664778e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8000000000009395 y[1] (closed_form) 0.947501234063633 y[1] (numeric) 0.9475012340647668 absolute error 1.1338707750496724e-12 relative error 1.196695829288517e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.810000000000943 y[1] (closed_form) 0.956999580380989 y[1] (numeric) 0.9569995803821199 absolute error 1.1308731728831845e-12 relative error 1.1816861742331957e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.820000000000946 y[1] (closed_form) 0.966602225871143 y[1] (numeric) 0.9666022258722706 absolute error 1.1276535261117715e-12 relative error 1.1666159004501384e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8300000000009495 y[1] (closed_form) 0.976308210277548 y[1] (numeric) 0.9763082102786723 absolute error 1.124322857037896e-12 relative error 1.1516064754984187e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.840000000000953 y[1] (closed_form) 0.9861165630098515 y[1] (numeric) 0.9861165630109727 absolute error 1.1212142325689456e-12 relative error 1.1369996962090823e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.850000000000956 y[1] (closed_form) 0.9960263032409543 y[1] (numeric) 0.9960263032420721 absolute error 1.1177725411926076e-12 relative error 1.1222319506578342e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8600000000009596 y[1] (closed_form) 1.006036440005091 y[1] (numeric) 1.0060364400062054 absolute error 1.1144418721187321e-12 relative error 1.1077549756677726e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.870000000000963 y[1] (closed_form) 1.0161459722969273 y[1] (numeric) 1.016145972298038 absolute error 1.1106671138350066e-12 relative error 1.093019255220213e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.880000000000966 y[1] (closed_form) 1.026353889171658 y[1] (numeric) 1.0263538891727653 absolute error 1.1073364447611311e-12 relative error 1.0789031507006146e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.89000000000097 y[1] (closed_form) 1.0366591698461023 y[1] (numeric) 1.0366591698472067 absolute error 1.1044498648971057e-12 relative error 1.0653934263284117e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.900000000000973 y[1] (closed_form) 1.047060783800781 y[1] (numeric) 1.0470607838018822 absolute error 1.1011191958232303e-12 relative error 1.0516287238131675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.910000000000976 y[1] (closed_form) 1.0575576908829667 y[1] (numeric) 1.0575576908840636 absolute error 1.0969003483296547e-12 relative error 1.037201429090682e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.92000000000098 y[1] (closed_form) 1.0681488414106979 y[1] (numeric) 1.0681488414117912 absolute error 1.0933476346508542e-12 relative error 1.0235910879301019e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.930000000000983 y[1] (closed_form) 1.0788331762777479 y[1] (numeric) 1.0788331762788377 absolute error 1.0897949209720537e-12 relative error 1.0101607411927455e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 7.940000000000986 y[1] (closed_form) 1.089609627059534 y[1] (numeric) 1.08960962706062 absolute error 1.0860201626883281e-12 relative error 9.967057336113187e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.95000000000099 y[1] (closed_form) 1.1004771161199578 y[1] (numeric) 1.10047711612104 absolute error 1.0822454044046026e-12 relative error 9.834329024672169e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.960000000000993 y[1] (closed_form) 1.1114345567191697 y[1] (numeric) 1.1114345567202482 absolute error 1.078470646120877e-12 relative error 9.70341114194255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.970000000000996 y[1] (closed_form) 1.122480853122241 y[1] (numeric) 1.1224808531233161 absolute error 1.0751399770470016e-12 relative error 9.578247807581232e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.980000000001 y[1] (closed_form) 1.133614900708737 y[1] (numeric) 1.1336149007098084 absolute error 1.071365218763276e-12 relative error 9.450874526203365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.990000000001003 y[1] (closed_form) 1.1448355860831767 y[1] (numeric) 1.1448355860842443 absolute error 1.0675904604795505e-12 relative error 9.325273196058618e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.000000000001005 y[1] (closed_form) 1.1561417871863728 y[1] (numeric) 1.1561417871874373 absolute error 1.0644818360106e-12 relative error 9.207191088570204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.010000000001 y[1] (closed_form) 1.1675323734076284 y[1] (numeric) 1.167532373408699 absolute error 1.070699084948501e-12 relative error 9.170615816189283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.020000000000994 y[1] (closed_form) 1.179006205697822 y[1] (numeric) 1.1790062056988992 absolute error 1.0771383784913269e-12 relative error 9.135985657122116e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.030000000000989 y[1] (closed_form) 1.1905621366832868 y[1] (numeric) 1.1905621366843704 absolute error 1.0835776720341528e-12 relative error 9.10139537154125e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.040000000000983 y[1] (closed_form) 1.2021990107805536 y[1] (numeric) 1.2021990107816443 absolute error 1.0906830993917538e-12 relative error 9.07240057271054e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.050000000000978 y[1] (closed_form) 1.2139156643119104 y[1] (numeric) 1.2139156643130078 absolute error 1.0973444375395047e-12 relative error 9.039709016042047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.060000000000972 y[1] (closed_form) 1.225710925621768 y[1] (numeric) 1.225710925622872 absolute error 1.1040057756872557e-12 relative error 9.007064819359631e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.070000000000967 y[1] (closed_form) 1.2375836151938244 y[1] (numeric) 1.2375836151949353 absolute error 1.1108891584399316e-12 relative error 8.976275580910543e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.080000000000961 y[1] (closed_form) 1.2495325457690165 y[1] (numeric) 1.2495325457701343 absolute error 1.1177725411926076e-12 relative error 8.945525628583622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.090000000000956 y[1] (closed_form) 1.2615565224642444 y[1] (numeric) 1.2615565224653684 absolute error 1.1239897901305085e-12 relative error 8.909547611350605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.10000000000095 y[1] (closed_form) 1.2736543428918576 y[1] (numeric) 1.2736543428929892 absolute error 1.1315393066979595e-12 relative error 8.884194624805164e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.110000000000944 y[1] (closed_form) 1.2858247972798962 y[1] (numeric) 1.2858247972810342 absolute error 1.1379786002407855e-12 relative error 8.850183964783752e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.120000000000939 y[1] (closed_form) 1.2980666685930626 y[1] (numeric) 1.298066668594207 absolute error 1.1444178937836114e-12 relative error 8.816326013701694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.130000000000933 y[1] (closed_form) 1.310378732654427 y[1] (numeric) 1.3103787326555787 absolute error 1.1517453657461374e-12 relative error 8.789408260717519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.140000000000928 y[1] (closed_form) 1.3227597582678436 y[1] (numeric) 1.322759758269002 absolute error 1.1584067038938883e-12 relative error 8.757498832674076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.150000000000922 y[1] (closed_form) 1.3352085073410684 y[1] (numeric) 1.335208507342234 absolute error 1.1655121312514893e-12 relative error 8.72906459810152e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.160000000000917 y[1] (closed_form) 1.3477237350095674 y[1] (numeric) 1.3477237350107403 absolute error 1.1728396032140154e-12 relative error 8.702374030725885e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.170000000000911 y[1] (closed_form) 1.360304189761004 y[1] (numeric) 1.360304189762184 absolute error 1.1799450305716164e-12 relative error 8.674126268617349e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.180000000000906 y[1] (closed_form) 1.372948613560386 y[1] (numeric) 1.3729486135615736 absolute error 1.1874945471390674e-12 relative error 8.649227912904973e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.1900000000009 y[1] (closed_form) 1.3856557419758715 y[1] (numeric) 1.3856557419770659 absolute error 1.1943779298917434e-12 relative error 8.619586335265525e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.200000000000895 y[1] (closed_form) 1.3984243043052071 y[1] (numeric) 1.3984243043064086 absolute error 1.2014833572493444e-12 relative error 8.591693905422282e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.210000000000889 y[1] (closed_form) 1.411253023702801 y[1] (numeric) 1.4112530237040093 absolute error 1.2083667400020204e-12 relative error 8.56236776613981e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.220000000000883 y[1] (closed_form) 1.4241406173074034 y[1] (numeric) 1.4241406173086186 absolute error 1.2152501227546963e-12 relative error 8.533217211740984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.230000000000878 y[1] (closed_form) 1.4370857963703938 y[1] (numeric) 1.4370857963716162 absolute error 1.2223555501122974e-12 relative error 8.505793830817655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.240000000000872 y[1] (closed_form) 1.4500872663846538 y[1] (numeric) 1.4500872663858828 absolute error 1.2290168882600483e-12 relative error 8.475468454558763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.250000000000867 y[1] (closed_form) 1.4631437272140158 y[1] (numeric) 1.463143727215252 absolute error 1.2363443602225743e-12 relative error 8.449917374670416e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.260000000000861 y[1] (closed_form) 1.476253873223278 y[1] (numeric) 1.4762538732245216 absolute error 1.2436718321851004e-12 relative error 8.424511899634486e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.270000000000856 y[1] (closed_form) 1.4894163934087636 y[1] (numeric) 1.4894163934100146 absolute error 1.2509993041476264e-12 relative error 8.399258324829618e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.28000000000085 y[1] (closed_form) 1.5026299715294233 y[1] (numeric) 1.5026299715306821 absolute error 1.2587708653200025e-12 relative error 8.377118047491003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.290000000000845 y[1] (closed_form) 1.5158932862384569 y[1] (numeric) 1.5158932862397227 absolute error 1.2658762926776035e-12 relative error 8.350695290819273e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.30000000000084 y[1] (closed_form) 1.5292050112154454 y[1] (numeric) 1.5292050112167186 absolute error 1.2732037646401295e-12 relative error 8.325919384923801e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.310000000000834 y[1] (closed_form) 1.5425638152989847 y[1] (numeric) 1.5425638153002648 absolute error 1.2800871473928055e-12 relative error 8.298438837324179e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.320000000000828 y[1] (closed_form) 1.5559683626197987 y[1] (numeric) 1.5559683626210854 absolute error 1.2867484855405564e-12 relative error 8.269759954335098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.330000000000823 y[1] (closed_form) 1.5694173127343247 y[1] (numeric) 1.5694173127356192 absolute error 1.2945200467129325e-12 relative error 8.248411918290546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.340000000000817 y[1] (closed_form) 1.5829093207587603 y[1] (numeric) 1.5829093207600622 absolute error 1.3018475186754586e-12 relative error 8.224397327140786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.350000000000811 y[1] (closed_form) 1.5964430375035452 y[1] (numeric) 1.5964430375048546 absolute error 1.3093970352429096e-12 relative error 8.201965272061903e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.360000000000806 y[1] (closed_form) 1.6100171096082834 y[1] (numeric) 1.6100171096096003 absolute error 1.3169465518103607e-12 relative error 8.179705320838319e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.3700000000008 y[1] (closed_form) 1.6236301796770762 y[1] (numeric) 1.6236301796784003 absolute error 1.3240519791679617e-12 relative error 8.154886474402086e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.380000000000795 y[1] (closed_form) 1.6372808864142607 y[1] (numeric) 1.637280886415592 absolute error 1.3313794511304877e-12 relative error 8.131649628221614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.39000000000079 y[1] (closed_form) 1.6509678647605384 y[1] (numeric) 1.650967864761878 absolute error 1.3395951015127139e-12 relative error 8.113998643498812e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.400000000000784 y[1] (closed_form) 1.6646897460294814 y[1] (numeric) 1.6646897460308285 absolute error 1.347144618080165e-12 relative error 8.092466607025687e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.410000000000778 y[1] (closed_form) 1.678445158044397 y[1] (numeric) 1.6784451580457518 absolute error 1.354694134647616e-12 relative error 8.071125399330936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.420000000000773 y[1] (closed_form) 1.6922327252755467 y[1] (numeric) 1.692232725276909 absolute error 1.362243651215067e-12 relative error 8.049978178936662e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.430000000000767 y[1] (closed_form) 1.7060510689776969 y[1] (numeric) 1.7060510689790669 absolute error 1.3700152123874432e-12 relative error 8.030329439132126e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.440000000000762 y[1] (closed_form) 1.7198988073279924 y[1] (numeric) 1.7198988073293704 absolute error 1.3780088181647443e-12 relative error 8.012150553820065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.450000000000756 y[1] (closed_form) 1.7337745555641382 y[1] (numeric) 1.7337745555655244 absolute error 1.3862244685469705e-12 relative error 7.995413614176144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.46000000000075 y[1] (closed_form) 1.7476769261228744 y[1] (numeric) 1.7476769261242675 absolute error 1.3931078512996464e-12 relative error 7.971197825390874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.470000000000745 y[1] (closed_form) 1.7616045287787294 y[1] (numeric) 1.7616045287801305 absolute error 1.4011014570769476e-12 relative error 7.953552765036835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.48000000000074 y[1] (closed_form) 1.775555970783044 y[1] (numeric) 1.7755559707844533 absolute error 1.4093171074591737e-12 relative error 7.937328536242347e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.490000000000734 y[1] (closed_form) 1.7895298570032443 y[1] (numeric) 1.7895298570046614 absolute error 1.4170886686315498e-12 relative error 7.918776337180614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.500000000000728 y[1] (closed_form) 1.8035247900623532 y[1] (numeric) 1.8035247900637783 absolute error 1.425082274408851e-12 relative error 7.901650602538053e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.510000000000723 y[1] (closed_form) 1.8175393704787273 y[1] (numeric) 1.81753937048016 absolute error 1.432631790976302e-12 relative error 7.882260017283459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.520000000000717 y[1] (closed_form) 1.831572196806003 y[1] (numeric) 1.8315721968074434 absolute error 1.440403352148678e-12 relative error 7.86430016059718e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.530000000000712 y[1] (closed_form) 1.8456218657732422 y[1] (numeric) 1.8456218657746906 absolute error 1.4483969579259792e-12 relative error 7.847744897187585e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.540000000000706 y[1] (closed_form) 1.8596869724252563 y[1] (numeric) 1.8596869724267122 absolute error 1.4559464744934303e-12 relative error 7.828986792302471e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.5500000000007 y[1] (closed_form) 1.8737661102631002 y[1] (numeric) 1.8737661102645644 absolute error 1.4641621248756564e-12 relative error 7.814006864869969e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.560000000000695 y[1] (closed_form) 1.8878578713847238 y[1] (numeric) 1.8878578713861955 absolute error 1.4717116414431075e-12 relative error 7.7956697045399e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.57000000000069 y[1] (closed_form) 1.901960846625757 y[1] (numeric) 1.9019608466272364 absolute error 1.4794832026154836e-12 relative error 7.778725861997711e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.580000000000684 y[1] (closed_form) 1.9160736257004287 y[1] (numeric) 1.916073625701916 absolute error 1.4872547637878597e-12 relative error 7.761991730584923e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.590000000000678 y[1] (closed_form) 1.9301947973425921 y[1] (numeric) 1.9301947973440872 absolute error 1.4950263249602358e-12 relative error 7.745468628443734e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.600000000000673 y[1] (closed_form) 1.9443229494468504 y[1] (numeric) 1.9443229494483532 absolute error 1.5027978861326119e-12 relative error 7.729157785028202e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.610000000000667 y[1] (closed_form) 1.9584566692097667 y[1] (numeric) 1.9584566692112773 absolute error 1.510569447304988e-12 relative error 7.713060345187519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.620000000000662 y[1] (closed_form) 1.9725945432711427 y[1] (numeric) 1.972594543272661 absolute error 1.518341008477364e-12 relative error 7.697177373103281e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.630000000000656 y[1] (closed_form) 1.9867351578553532 y[1] (numeric) 1.98673515785688 absolute error 1.5267787034645153e-12 relative error 7.684862763050144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.64000000000065 y[1] (closed_form) 2.0008770989127247 y[1] (numeric) 2.0008770989142595 absolute error 1.5347723092418164e-12 relative error 7.670497653633053e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.650000000000645 y[1] (closed_form) 2.0150189522609354 y[1] (numeric) 2.015018952262478 absolute error 1.5427659150191175e-12 relative error 7.656334513817201e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.66000000000064 y[1] (closed_form) 2.029159303726437 y[1] (numeric) 2.0291593037279867 absolute error 1.5498713423767185e-12 relative error 7.63799736930692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.670000000000634 y[1] (closed_form) 2.043296739285864 y[1] (numeric) 2.043296739287422 absolute error 1.5583090373638697e-12 relative error 7.626445084567119e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.680000000000629 y[1] (closed_form) 2.0574298452074435 y[1] (numeric) 2.0574298452090094 absolute error 1.5658585539313208e-12 relative error 7.610750653679959e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.690000000000623 y[1] (closed_form) 2.0715572081923597 y[1] (numeric) 2.071557208193934 absolute error 1.574296248918472e-12 relative error 7.599578919146542e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.700000000000617 y[1] (closed_form) 2.0856774155160878 y[1] (numeric) 2.08567741551767 absolute error 1.5822898546957731e-12 relative error 7.586455330649709e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.710000000000612 y[1] (closed_form) 2.099789055169662 y[1] (numeric) 2.099789055171252 absolute error 1.5898393712632242e-12 relative error 7.571424221633377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.720000000000606 y[1] (closed_form) 2.113890716000877 y[1] (numeric) 2.113890716002474 absolute error 1.5969447986208252e-12 relative error 7.554528654357186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.7300000000006 y[1] (closed_form) 2.1279809878554 y[1] (numeric) 2.127980987857005 absolute error 1.6049384043981263e-12 relative error 7.542071163030449e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.740000000000595 y[1] (closed_form) 2.142058461717788 y[1] (numeric) 2.142058461719401 absolute error 1.6129320101754274e-12 relative error 7.529822546869068e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.75000000000059 y[1] (closed_form) 2.156121729852386 y[1] (numeric) 2.1561217298540063 absolute error 1.6204815267428785e-12 relative error 7.515723738166774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.760000000000584 y[1] (closed_form) 2.1701693859440994 y[1] (numeric) 2.170169385945728 absolute error 1.6284751325201796e-12 relative error 7.503907957911479e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.770000000000579 y[1] (closed_form) 2.1842000252390257 y[1] (numeric) 2.1842000252406626 absolute error 1.6369128275073308e-12 relative error 7.494335722884158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.780000000000573 y[1] (closed_form) 2.198212244684928 y[1] (numeric) 2.1982122446865735 absolute error 1.645350522494482e-12 relative error 7.484948400559526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.790000000000568 y[1] (closed_form) 2.212204643071538 y[1] (numeric) 2.2122046430731905 absolute error 1.652455949852083e-12 relative error 7.469724625284795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.800000000000562 y[1] (closed_form) 2.2261758211706777 y[1] (numeric) 2.2261758211723373 absolute error 1.659561377209684e-12 relative error 7.454763282519938e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.810000000000556 y[1] (closed_form) 2.24012438187618 y[1] (numeric) 2.240124381877847 absolute error 1.667110893777135e-12 relative error 7.442046108086523e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.820000000000551 y[1] (closed_form) 2.254048930343597 y[1] (numeric) 2.254048930345272 absolute error 1.6751044995544362e-12 relative error 7.431535655701543e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.830000000000545 y[1] (closed_form) 2.2679480741296865 y[1] (numeric) 2.2679480741313696 absolute error 1.6830981053317373e-12 relative error 7.421237393089865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.84000000000054 y[1] (closed_form) 2.281820423331652 y[1] (numeric) 2.281820423333343 absolute error 1.6906476218991884e-12 relative error 7.409205407280469e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.850000000000534 y[1] (closed_form) 2.295664590726135 y[1] (numeric) 2.2956645907278332 absolute error 1.6981971384666394e-12 relative error 7.397409644801324e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.860000000000529 y[1] (closed_form) 2.309479191907931 y[1] (numeric) 2.3094791919096376 absolute error 1.7066348334537906e-12 relative error 7.38969564841105e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.870000000000523 y[1] (closed_form) 2.3232628454284345 y[1] (numeric) 2.323262845430149 absolute error 1.7146284392310918e-12 relative error 7.380260234458731e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.880000000000518 y[1] (closed_form) 2.3370141729337806 y[1] (numeric) 2.3370141729355027 absolute error 1.7221779557985428e-12 relative error 7.369137832983698e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.890000000000512 y[1] (closed_form) 2.3507317993026775 y[1] (numeric) 2.350731799304406 absolute error 1.7283952047364437e-12 relative error 7.3525835880093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.900000000000507 y[1] (closed_form) 2.3644143527839194 y[1] (numeric) 2.3644143527856554 absolute error 1.7359447213038948e-12 relative error 7.341964910930061e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.910000000000501 y[1] (closed_form) 2.3780604651335606 y[1] (numeric) 2.378060465135304 absolute error 1.7434942378713458e-12 relative error 7.331580771111406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.920000000000496 y[1] (closed_form) 2.3916687717517378 y[1] (numeric) 2.3916687717534892 absolute error 1.751487843648647e-12 relative error 7.323287674010975e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.93000000000049 y[1] (closed_form) 2.40523791181913 y[1] (numeric) 2.4052379118208886 absolute error 1.758593271006248e-12 relative error 7.311514850005787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.940000000000484 y[1] (closed_form) 2.4187665284330366 y[1] (numeric) 2.418766528434803 absolute error 1.766586876783549e-12 relative error 7.303668444295891e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.950000000000479 y[1] (closed_form) 2.4322532687430716 y[1] (numeric) 2.4322532687448457 absolute error 1.7741363933510002e-12 relative error 7.294209102935362e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.960000000000473 y[1] (closed_form) 2.4456967840864414 y[1] (numeric) 2.445696784088223 absolute error 1.7816859099184512e-12 relative error 7.284982838066645e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.970000000000468 y[1] (closed_form) 2.459095730122816 y[1] (numeric) 2.4590957301246044 absolute error 1.7883472480662022e-12 relative error 7.272377509178489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.980000000000462 y[1] (closed_form) 2.4724487669687565 y[1] (numeric) 2.4724487669705524 absolute error 1.7958967646336532e-12 relative error 7.263635908765212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.990000000000457 y[1] (closed_form) 2.4857545593317063 y[1] (numeric) 2.4857545593335093 absolute error 1.8030021919912542e-12 relative error 7.253339575392312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.000000000000451 y[1] (closed_form) 2.499011776643518 y[1] (numeric) 2.499011776645327 absolute error 1.809219440929155e-12 relative error 7.239739555606099e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.010000000000446 y[1] (closed_form) 2.5122190931935062 y[1] (numeric) 2.5122190931953226 absolute error 1.816324868286756e-12 relative error 7.229962041160444e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.02000000000044 y[1] (closed_form) 2.5253751882610227 y[1] (numeric) 2.525375188262846 absolute error 1.823430295644357e-12 relative error 7.22043324144629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.030000000000435 y[1] (closed_form) 2.5384787462475247 y[1] (numeric) 2.5384787462493557 absolute error 1.830979812211808e-12 relative error 7.212901880381831e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.040000000000429 y[1] (closed_form) 2.551528456808133 y[1] (numeric) 2.5515284568099705 absolute error 1.837641150359559e-12 relative error 7.2021189709104e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.050000000000423 y[1] (closed_form) 2.5645230149826657 y[1] (numeric) 2.5645230149845113 absolute error 1.8456347561368602e-12 relative error 7.196795448331492e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.060000000000418 y[1] (closed_form) 2.5774611213261345 y[1] (numeric) 2.5774611213279877 absolute error 1.8531842727043113e-12 relative error 7.189960140895649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.070000000000412 y[1] (closed_form) 2.5903414820386867 y[1] (numeric) 2.5903414820405475 absolute error 1.8607337892717624e-12 relative error 7.18335324579407e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.080000000000407 y[1] (closed_form) 2.6031628090949854 y[1] (numeric) 2.6031628090968533 absolute error 1.8678392166293634e-12 relative error 7.175268523749138e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.090000000000401 y[1] (closed_form) 2.6159238203730077 y[1] (numeric) 2.615923820374883 absolute error 1.8753887331968144e-12 relative error 7.16912594545433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.100000000000396 y[1] (closed_form) 2.6286232397822618 y[1] (numeric) 2.6286232397841434 absolute error 1.8816059821347153e-12 relative error 7.158142535065525e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.11000000000039 y[1] (closed_form) 2.6412597973913883 y[1] (numeric) 2.6412597973932765 absolute error 1.8882673202824662e-12 relative error 7.149116198820703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.120000000000385 y[1] (closed_form) 2.653832229555157 y[1] (numeric) 2.6538322295570524 absolute error 1.8953727476400672e-12 relative error 7.142021739474372e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.13000000000038 y[1] (closed_form) 2.6663392790408285 y[1] (numeric) 2.6663392790427314 absolute error 1.9029222642075183e-12 relative error 7.136834682539213e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.140000000000374 y[1] (closed_form) 2.678779695153877 y[1] (numeric) 2.6787796951557867 absolute error 1.9095836023552692e-12 relative error 7.128557849717377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.150000000000368 y[1] (closed_form) 2.691152233863058 y[1] (numeric) 2.691152233864975 absolute error 1.9171331189227203e-12 relative error 7.123837495327199e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.160000000000363 y[1] (closed_form) 2.7034556579248115 y[1] (numeric) 2.7034556579267353 absolute error 1.9237944570704713e-12 relative error 7.116057004416294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.170000000000357 y[1] (closed_form) 2.7156887370069835 y[1] (numeric) 2.7156887370089136 absolute error 1.930011706008372e-12 relative error 7.106895866628212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.180000000000351 y[1] (closed_form) 2.72785024781186 y[1] (numeric) 2.7278502478137963 absolute error 1.936228954946273e-12 relative error 7.098003112522087e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.190000000000346 y[1] (closed_form) 2.739938974198495 y[1] (numeric) 2.739938974200438 absolute error 1.942890293094024e-12 relative error 7.090998417811006e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.20000000000034 y[1] (closed_form) 2.7519537073043243 y[1] (numeric) 2.7519537073062748 absolute error 1.950439809661475e-12 relative error 7.087473181269564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.210000000000335 y[1] (closed_form) 2.7638932456660497 y[1] (numeric) 2.7638932456680063 absolute error 1.956657058599376e-12 relative error 7.079351062735623e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.22000000000033 y[1] (closed_form) 2.7757563953397835 y[1] (numeric) 2.775756395341747 absolute error 1.963318396747127e-12 relative error 7.073093301859419e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.230000000000324 y[1] (closed_form) 2.787541970020445 y[1] (numeric) 2.787541970022415 absolute error 1.9699797348948778e-12 relative error 7.067085468422307e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.240000000000318 y[1] (closed_form) 2.7992487911603874 y[1] (numeric) 2.799248791162364 absolute error 1.9766410730426287e-12 relative error 7.061326879141891e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.250000000000313 y[1] (closed_form) 2.8108756880872523 y[1] (numeric) 2.8108756880892356 absolute error 1.9833024111903796e-12 relative error 7.055816874420296e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.260000000000307 y[1] (closed_form) 2.822421498121036 y[1] (numeric) 2.8224214981230262 absolute error 1.9904078385479806e-12 relative error 7.052128251832869e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.270000000000302 y[1] (closed_form) 2.8338850666903572 y[1] (numeric) 2.833885066692353 absolute error 1.9957369090661814e-12 relative error 7.042405962486567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.280000000000296 y[1] (closed_form) 2.8452652474479105 y[1] (numeric) 2.845265247449913 absolute error 2.0023982472139323e-12 relative error 7.037650528399782e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.29000000000029 y[1] (closed_form) 2.856560902385105 y[1] (numeric) 2.8565609023871135 absolute error 2.0086154961518332e-12 relative error 7.031586459349514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.300000000000285 y[1] (closed_form) 2.8677709019458595 y[1] (numeric) 2.8677709019478734 absolute error 2.013944566670034e-12 relative error 7.022682897380396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.31000000000028 y[1] (closed_form) 2.878894125139559 y[1] (numeric) 2.8788941251415805 absolute error 2.021494083237485e-12 relative error 7.021772928657076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.320000000000274 y[1] (closed_form) 2.8899294596531546 y[1] (numeric) 2.8899294596551823 absolute error 2.027711332175386e-12 relative error 7.016473448520605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.330000000000268 y[1] (closed_form) 2.90087580196239 y[1] (numeric) 2.9008758019644247 absolute error 2.034816759532987e-12 relative error 7.014491134561743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.340000000000263 y[1] (closed_form) 2.9117320574421566 y[1] (numeric) 2.9117320574441976 absolute error 2.0410340084708878e-12 relative error 7.009690343086915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.350000000000257 y[1] (closed_form) 2.9224971404759534 y[1] (numeric) 2.9224971404780002 absolute error 2.0468071681989386e-12 relative error 7.00362419470357e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.360000000000252 y[1] (closed_form) 2.9331699745644477 y[1] (numeric) 2.933169974566501 absolute error 2.0534685063466895e-12 relative error 7.000850697892519e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.370000000000246 y[1] (closed_form) 2.9437494924331244 y[1] (numeric) 2.9437494924351837 absolute error 2.0592416660747404e-12 relative error 6.99530198261774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.38000000000024 y[1] (closed_form) 2.954234636139014 y[1] (numeric) 2.954234636141079 absolute error 2.065014825802791e-12 relative error 6.990016299117076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.390000000000235 y[1] (closed_form) 2.964624357176482 y[1] (numeric) 2.964624357178553 absolute error 2.071232074740692e-12 relative error 6.986490783315767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.40000000000023 y[1] (closed_form) 2.9749176165820836 y[1] (numeric) 2.9749176165841607 absolute error 2.077005234468743e-12 relative error 6.981723537121131e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.410000000000224 y[1] (closed_form) 2.985113385038456 y[1] (numeric) 2.985113385040538 absolute error 2.0818902157770935e-12 relative error 6.974241669383936e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.420000000000218 y[1] (closed_form) 2.9952106429772494 y[1] (numeric) 2.995210642979337 absolute error 2.0876633755051444e-12 relative error 6.970005199467374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.430000000000213 y[1] (closed_form) 3.0052083806810845 y[1] (numeric) 3.0052083806831775 absolute error 2.092992446023345e-12 relative error 6.964550143937108e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.440000000000207 y[1] (closed_form) 3.0151055983845225 y[1] (numeric) 3.015105598386621 absolute error 2.098321516541546e-12 relative error 6.959363272934173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.450000000000202 y[1] (closed_form) 3.024901306374041 y[1] (numeric) 3.0249013063761443 absolute error 2.1032064978498966e-12 relative error 6.952975600949497e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.460000000000196 y[1] (closed_form) 3.0345945250870034 y[1] (numeric) 3.0345945250891124 absolute error 2.1089796575779474e-12 relative error 6.949790623238146e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.47000000000019 y[1] (closed_form) 3.044184285209617 y[1] (numeric) 3.0441842852117307 absolute error 2.113864638886298e-12 relative error 6.943944389821135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.480000000000185 y[1] (closed_form) 3.05366962777386 y[1] (numeric) 3.053669627775979 absolute error 2.1187496201946487e-12 relative error 6.938372117678059e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.49000000000018 y[1] (closed_form) 3.063049604253381 y[1] (numeric) 3.063049604255505 absolute error 2.1240786907128495e-12 relative error 6.93452266578815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.500000000000174 y[1] (closed_form) 3.072323276658348 y[1] (numeric) 3.0723232766604784 absolute error 2.1302959396507504e-12 relative error 6.933827425764239e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.510000000000169 y[1] (closed_form) 3.0814897176292497 y[1] (numeric) 3.081489717631385 absolute error 2.135180920959101e-12 relative error 6.929054180332644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.520000000000163 y[1] (closed_form) 3.090548010529627 y[1] (numeric) 3.090548010531767 absolute error 2.1400659022674517e-12 relative error 6.924551551945342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.530000000000157 y[1] (closed_form) 3.099497249537738 y[1] (numeric) 3.0994972495398834 absolute error 2.1453949727856525e-12 relative error 6.921751497297243e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.540000000000152 y[1] (closed_form) 3.1083365397371403 y[1] (numeric) 3.10833653973929 absolute error 2.149835864884153e-12 relative error 6.9163548972273e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.550000000000146 y[1] (closed_form) 3.1170649972061795 y[1] (numeric) 3.117064997208335 absolute error 2.155609024612204e-12 relative error 6.915508744746334e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.56000000000014 y[1] (closed_form) 3.125681749106383 y[1] (numeric) 3.1256817491085434 absolute error 2.1604940059205546e-12 relative error 6.912072883102156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.570000000000135 y[1] (closed_form) 3.1341859337697406 y[1] (numeric) 3.134185933771905 absolute error 2.164490808809205e-12 relative error 6.906070203071187e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.58000000000013 y[1] (closed_form) 3.1425767007848733 y[1] (numeric) 3.1425767007870418 absolute error 2.1684876116978558e-12 relative error 6.900349038915313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.590000000000124 y[1] (closed_form) 3.1508532110820715 y[1] (numeric) 3.1508532110842444 absolute error 2.1729285037963564e-12 relative error 6.896317785144061e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.600000000000119 y[1] (closed_form) 3.159014637017203 y[1] (numeric) 3.1590146370193803 absolute error 2.177369395894857e-12 relative error 6.892558744048009e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.610000000000113 y[1] (closed_form) 3.1670601624544754 y[1] (numeric) 3.1670601624566563 absolute error 2.1809221095736575e-12 relative error 6.886266751192501e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.620000000000108 y[1] (closed_form) 3.174988982848049 y[1] (numeric) 3.1749889828502345 absolute error 2.185363001672158e-12 relative error 6.883056960127873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.630000000000102 y[1] (closed_form) 3.1828003053224925 y[1] (numeric) 3.1828003053246827 absolute error 2.190247982980509e-12 relative error 6.881512419481138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.640000000000096 y[1] (closed_form) 3.190493348752067 y[1] (numeric) 3.1904933487542624 absolute error 2.1955770534987096e-12 relative error 6.881622412275173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.650000000000091 y[1] (closed_form) 3.198067343838841 y[1] (numeric) 3.1980673438410414 absolute error 2.2004620348070603e-12 relative error 6.880599431548266e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.660000000000085 y[1] (closed_form) 3.205521533189618 y[1] (numeric) 3.2055215331918223 absolute error 2.204458837695711e-12 relative error 6.87706763118259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.67000000000008 y[1] (closed_form) 3.212855171391674 y[1] (numeric) 3.212855171393883 absolute error 2.2088997297942115e-12 relative error 6.875192350601377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.680000000000074 y[1] (closed_form) 3.2200675250872997 y[1] (numeric) 3.2200675250895126 absolute error 2.212896532682862e-12 relative error 6.872205366633943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.690000000000069 y[1] (closed_form) 3.2271578730471364 y[1] (numeric) 3.227157873049353 absolute error 2.2164492463616625e-12 relative error 6.86811533105709e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.700000000000063 y[1] (closed_form) 3.2341255062422967 y[1] (numeric) 3.2341255062445176 absolute error 2.220890138460163e-12 relative error 6.867049946495728e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.710000000000058 y[1] (closed_form) 3.2409697279152674 y[1] (numeric) 3.2409697279174923 absolute error 2.2248869413488137e-12 relative error 6.864880354127706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.720000000000052 y[1] (closed_form) 3.247689853649585 y[1] (numeric) 3.247689853651813 absolute error 2.227995565817764e-12 relative error 6.860247333390097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.730000000000047 y[1] (closed_form) 3.2542852114382756 y[1] (numeric) 3.2542852114405076 absolute error 2.2319923687064147e-12 relative error 6.858625546591091e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.740000000000041 y[1] (closed_form) 3.2607551417510567 y[1] (numeric) 3.2607551417532923 absolute error 2.2355450823852152e-12 relative error 6.855912158999789e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.750000000000036 y[1] (closed_form) 3.267098997600289 y[1] (numeric) 3.267098997602527 absolute error 2.2382096176443156e-12 relative error 6.850755423353559e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.76000000000003 y[1] (closed_form) 3.2733161446056735 y[1] (numeric) 3.2733161446079153 absolute error 2.241762331323116e-12 relative error 6.848597056588845e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.770000000000024 y[1] (closed_form) 3.279405961057691 y[1] (numeric) 3.279405961059936 absolute error 2.2453150450019166e-12 relative error 6.846712702436347e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.780000000000019 y[1] (closed_form) 3.285367837979771 y[1] (numeric) 3.285367837982019 absolute error 2.247979580261017e-12 relative error 6.842398450102739e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.790000000000013 y[1] (closed_form) 3.291201179189189 y[1] (numeric) 3.2912011791914404 absolute error 2.2515322939398175e-12 relative error 6.84106553004608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.800000000000008 y[1] (closed_form) 3.296905401356686 y[1] (numeric) 3.2969054013589405 absolute error 2.254640918408768e-12 relative error 6.838658208030405e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.810000000000002 y[1] (closed_form) 3.3024799340647975 y[1] (numeric) 3.302479934067055 absolute error 2.2577495428777183e-12 relative error 6.836527663920756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.819999999999997 y[1] (closed_form) 3.3079242198649004 y[1] (numeric) 3.3079242198671603 absolute error 2.2599699889269687e-12 relative error 6.831988397301521e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.829999999999991 y[1] (closed_form) 3.313237714332949 y[1] (numeric) 3.3132377143352123 absolute error 2.263522702605769e-12 relative error 6.831754609136103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.839999999999986 y[1] (closed_form) 3.318419886123926 y[1] (numeric) 3.3184198861261924 absolute error 2.2666313270747196e-12 relative error 6.830453664265658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.84999999999998 y[1] (closed_form) 3.3234702170249704 y[1] (numeric) 3.3234702170272397 absolute error 2.26929586233382e-12 relative error 6.828091465086747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.859999999999975 y[1] (closed_form) 3.3283882020072006 y[1] (numeric) 3.328388202009473 absolute error 2.2724044868027704e-12 relative error 6.827342091383409e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.869999999999969 y[1] (closed_form) 3.333173349276217 y[1] (numeric) 3.333173349278492 absolute error 2.2750690220618708e-12 relative error 6.825534659203644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.879999999999963 y[1] (closed_form) 3.3378251803212797 y[1] (numeric) 3.3378251803235575 absolute error 2.277733557320971e-12 relative error 6.824004956130536e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.889999999999958 y[1] (closed_form) 3.3423432299631606 y[1] (numeric) 3.3423432299654414 absolute error 2.2808421817899216e-12 relative error 6.824081265331511e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.899999999999952 y[1] (closed_form) 3.3467270464006615 y[1] (numeric) 3.346727046402945 absolute error 2.283506717049022e-12 relative error 6.823104141417473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.909999999999947 y[1] (closed_form) 3.350976191255791 y[1] (numeric) 3.3509761912580767 absolute error 2.2857271630982723e-12 relative error 6.82107849367228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.919999999999941 y[1] (closed_form) 3.355090239617605 y[1] (numeric) 3.355090239619893 absolute error 2.2879476091475226e-12 relative error 6.81933255365522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.929999999999936 y[1] (closed_form) 3.3590687800846957 y[1] (numeric) 3.3590687800869854 absolute error 2.289723965986923e-12 relative error 6.816543857518719e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.93999999999993 y[1] (closed_form) 3.3629114148063315 y[1] (numeric) 3.3629114148086234 absolute error 2.291944412036173e-12 relative error 6.815357674737219e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.949999999999925 y[1] (closed_form) 3.366617759522242 y[1] (numeric) 3.366617759524537 absolute error 2.2946089472952735e-12 relative error 6.815769152304662e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.95999999999992 y[1] (closed_form) 3.3701874436010457 y[1] (numeric) 3.370187443603341 absolute error 2.2954971257149737e-12 relative error 6.811185324642462e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.969999999999914 y[1] (closed_form) 3.3736201100773076 y[1] (numeric) 3.3736201100796057 absolute error 2.298161660974074e-12 relative error 6.812153075887998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.979999999999908 y[1] (closed_form) 3.376915415687242 y[1] (numeric) 3.3769154156895413 absolute error 2.2994939286036242e-12 relative error 6.80945077250521e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.989999999999903 y[1] (closed_form) 3.380073030903034 y[1] (numeric) 3.3800730309053337 absolute error 2.2999380178134743e-12 relative error 6.804403327341757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.999999999999897 y[1] (closed_form) 3.383092639965792 y[1] (numeric) 3.383092639968094 absolute error 2.3021584638627246e-12 relative error 6.804893359012489e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; Iterations 10001 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.01999999999896%