##############ECHO OF PROBLEM################# ##############temp/sin_lg_hpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # ELIMINATED in preodein.rb # Digits:=16; ELIMINATED in preodein.rb max_terms=40 # ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb x_start=c(0.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=false $glob_max_h=c(1.0) $glob_min_h=c(1.0) $glob_display_interval=c(1.0) # 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))) 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) 1.0000499995833347 y[1] (numeric) 1.0000499995833345 absolute error 2.220446049250313e-16 relative error 2.2203350334237783e-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) 1.0001999933334222 y[1] (numeric) 1.0001999933334222 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] 0.03000000000000002 y[1] (closed_form) 1.0004499662510125 y[1] (numeric) 1.0004499662510125 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] 0.04000000000000003 y[1] (closed_form) 1.000799893339022 y[1] (numeric) 1.000799893339022 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] 0.05000000000000004 y[1] (closed_form) 1.0012497396050337 y[1] (numeric) 1.0012497396050337 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] 0.060000000000000046 y[1] (closed_form) 1.0017994600647957 y[1] (numeric) 1.001799460064796 absolute error 2.220446049250313e-16 relative error 2.2164576222737196e-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) 1.0024489997467203 y[1] (numeric) 1.0024489997467205 absolute error 2.220446049250313e-16 relative error 2.215021462250282e-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) 1.0031982936973807 y[1] (numeric) 1.003198293697381 absolute error 2.220446049250313e-16 relative error 2.2133670513599585e-14% 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) 1.0040472669880058 y[1] (numeric) 1.004047266988006 absolute error 2.220446049250313e-16 relative error 2.211495536371833e-14% 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) 1.0049958347219743 y[1] (numeric) 1.0049958347219747 absolute error 4.440892098500626e-16 relative error 4.41881642198962e-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) 1.0060439020433032 y[1] (numeric) 1.0060439020433034 absolute error 2.220446049250313e-16 relative error 2.20710651368248e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000009 y[1] (closed_form) 1.0071913641461339 y[1] (numeric) 1.007191364146134 absolute error 2.220446049250313e-16 relative error 2.2045920252034127e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1300000000000001 y[1] (closed_form) 1.0084381062852121 y[1] (numeric) 1.0084381062852121 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] 0.1400000000000001 y[1] (closed_form) 1.0097840037873629 y[1] (numeric) 1.0097840037873633 absolute error 4.440892098500626e-16 relative error 4.3978633864710884e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1500000000000001 y[1] (closed_form) 1.0112289220639576 y[1] (numeric) 1.011228922063958 absolute error 4.440892098500626e-16 relative error 4.391579395728311e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000011 y[1] (closed_form) 1.0127727166243732 y[1] (numeric) 1.0127727166243738 absolute error 6.661338147750939e-16 relative error 6.577327803570325e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000012 y[1] (closed_form) 1.0144152330904395 y[1] (numeric) 1.01441523309044 absolute error 4.440892098500626e-16 relative error 4.377785302938862e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000013 y[1] (closed_form) 1.0161563072118787 y[1] (numeric) 1.016156307211879 absolute error 4.440892098500626e-16 relative error 4.370284440476987e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000014 y[1] (closed_form) 1.0179957648827296 y[1] (numeric) 1.0179957648827305 absolute error 8.881784197001252e-16 relative error 8.724775193956146e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.20000000000000015 y[1] (closed_form) 1.0199334221587584 y[1] (numeric) 1.0199334221587595 absolute error 1.1102230246251565e-15 relative error 1.0885249963426966e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.21000000000000016 y[1] (closed_form) 1.0219690852758518 y[1] (numeric) 1.021969085275853 absolute error 1.1102230246251565e-15 relative error 1.086356760317738e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.22000000000000017 y[1] (closed_form) 1.0241025506693946 y[1] (numeric) 1.0241025506693961 absolute error 1.5543122344752192e-15 relative error 1.5177310450591673e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000018 y[1] (closed_form) 1.0263336049946252 y[1] (numeric) 1.026333604994627 absolute error 1.7763568394002505e-15 relative error 1.7307791840349543e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000019 y[1] (closed_form) 1.0286620251479706 y[1] (numeric) 1.0286620251479726 absolute error 1.9984014443252818e-15 relative error 1.9427191783791343e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.25000000000000017 y[1] (closed_form) 1.0310875782893554 y[1] (numeric) 1.0310875782893572 absolute error 1.7763568394002505e-15 relative error 1.7227991848639545e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000002 y[1] (closed_form) 1.0336100218654867 y[1] (numeric) 1.0336100218654887 absolute error 1.9984014443252818e-15 relative error 1.9334191832994364e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2700000000000002 y[1] (closed_form) 1.0362291036341096 y[1] (numeric) 1.0362291036341111 absolute error 1.5543122344752192e-15 relative error 1.499969677578216e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2800000000000002 y[1] (closed_form) 1.0389445616892292 y[1] (numeric) 1.038944561689231 absolute error 1.7763568394002505e-15 relative error 1.7097705738139253e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2900000000000002 y[1] (closed_form) 1.041756124487303 y[1] (numeric) 1.041756124487305 absolute error 1.9984014443252818e-15 relative error 1.9183006438371443e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3000000000000002 y[1] (closed_form) 1.044663510874394 y[1] (numeric) 1.0446635108743962 absolute error 2.220446049250313e-15 relative error 2.1255131687252838e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3100000000000002 y[1] (closed_form) 1.0476664301142866 y[1] (numeric) 1.0476664301142886 absolute error 1.9984014443252818e-15 relative error 1.907478742167278e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.32000000000000023 y[1] (closed_form) 1.050764581917559 y[1] (numeric) 1.0507645819175608 absolute error 1.7763568394002505e-15 relative error 1.6905374143450335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.33000000000000024 y[1] (closed_form) 1.053957656471613 y[1] (numeric) 1.0539576564716147 absolute error 1.5543122344752192e-15 relative error 1.4747387856915128e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.34000000000000025 y[1] (closed_form) 1.057245334471654 y[1] (numeric) 1.0572453344716557 absolute error 1.7763568394002505e-15 relative error 1.6801746779880228e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.35000000000000026 y[1] (closed_form) 1.060627287152621 y[1] (numeric) 1.0606272871526228 absolute error 1.7763568394002505e-15 relative error 1.674817215168101e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.36000000000000026 y[1] (closed_form) 1.0641031763220652 y[1] (numeric) 1.0641031763220667 absolute error 1.5543122344752192e-15 relative error 1.460678126953345e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000003 y[1] (closed_form) 1.0676726543939656 y[1] (numeric) 1.0676726543939667 absolute error 1.1102230246251565e-15 relative error 1.0398533858257739e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000003 y[1] (closed_form) 1.07133536442349 y[1] (numeric) 1.071335364423491 absolute error 1.1102230246251565e-15 relative error 1.036298307227628e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3900000000000003 y[1] (closed_form) 1.0750909401426871 y[1] (numeric) 1.0750909401426885 absolute error 1.3322676295501878e-15 relative error 1.239213893266897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4000000000000003 y[1] (closed_form) 1.078939005997115 y[1] (numeric) 1.078939005997116 absolute error 1.1102230246251565e-15 relative error 1.0289951688224768e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4100000000000003 y[1] (closed_form) 1.082879177183395 y[1] (numeric) 1.0828791771833959 absolute error 8.881784197001252e-16 relative error 8.202008482703556e-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) 1.0869110596876919 y[1] (numeric) 1.0869110596876927 absolute error 8.881784197001252e-16 relative error 8.17158323842367e-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) 1.091034250325115 y[1] (numeric) 1.0910342503251158 absolute error 8.881784197001252e-16 relative error 8.140701535588447e-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) 1.0952483367800367 y[1] (numeric) 1.0952483367800376 absolute error 8.881784197001252e-16 relative error 8.109379305804888e-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) 1.0995528976473232 y[1] (numeric) 1.0995528976473241 absolute error 8.881784197001252e-16 relative error 8.077632477714634e-14% 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) 1.103947502474475 y[1] (numeric) 1.1039475024744763 absolute error 1.3322676295501878e-15 relative error 1.2068215441077934e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000036 y[1] (closed_form) 1.1084317118046711 y[1] (numeric) 1.1084317118046725 absolute error 1.3322676295501878e-15 relative error 1.201939294375729e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.48000000000000037 y[1] (closed_form) 1.1130050772207158 y[1] (numeric) 1.1130050772207172 absolute error 1.3322676295501878e-15 relative error 1.1970004960597237e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000004 y[1] (closed_form) 1.1176671413898787 y[1] (numeric) 1.11766714138988 absolute error 1.3322676295501878e-15 relative error 1.1920075129823017e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 1.1224174381096275 y[1] (numeric) 1.1224174381096288 absolute error 1.3322676295501878e-15 relative error 1.1869626970461094e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 1.1272554923542488 y[1] (numeric) 1.1272554923542504 absolute error 1.5543122344752192e-15 relative error 1.3788464505318768e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 1.1321808203223502 y[1] (numeric) 1.1321808203223516 absolute error 1.3322676295501878e-15 relative error 1.1767269023077688e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 1.1371929294852392 y[1] (numeric) 1.137192929485241 absolute error 1.7763568394002505e-15 relative error 1.5620540660627697e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 1.142291318636176 y[1] (numeric) 1.1422913186361776 absolute error 1.5543122344752192e-15 relative error 1.3606968810119036e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 1.1474754779404943 y[1] (numeric) 1.1474754779404959 absolute error 1.5543122344752192e-15 relative error 1.354549412476266e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 1.1527448889865841 y[1] (numeric) 1.1527448889865852 absolute error 1.1102230246251565e-15 relative error 9.631125110441305e-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) 1.1580990248377314 y[1] (numeric) 1.1580990248377327 absolute error 1.3322676295501878e-15 relative error 1.1503918067255608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 1.1635373500848134 y[1] (numeric) 1.1635373500848145 absolute error 1.1102230246251565e-15 relative error 9.541791026684527e-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) 1.1690593208998368 y[1] (numeric) 1.169059320899838 absolute error 1.3322676295501878e-15 relative error 1.1396065244360124e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 1.1746643850903218 y[1] (numeric) 1.1746643850903233 absolute error 1.5543122344752192e-15 relative error 1.3231968672955942e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 1.1803519821545208 y[1] (numeric) 1.180351982154522 absolute error 1.3322676295501878e-15 relative error 1.1287036830474689e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 1.1861215433374663 y[1] (numeric) 1.1861215433374677 absolute error 1.3322676295501878e-15 relative error 1.1232134152133355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 1.1919724916878485 y[1] (numeric) 1.1919724916878496 absolute error 1.1102230246251565e-15 relative error 9.314166496015913e-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) 1.1979042421157078 y[1] (numeric) 1.1979042421157087 absolute error 8.881784197001252e-16 relative error 7.414435882883654e-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) 1.2039162014509444 y[1] (numeric) 1.2039162014509452 absolute error 8.881784197001252e-16 relative error 7.377410642283109e-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) 1.2100077685026354 y[1] (numeric) 1.210007768502636 absolute error 6.661338147750939e-16 relative error 5.5052027938582866e-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) 1.216178334119151 y[1] (numeric) 1.2161783341191519 absolute error 8.881784197001252e-16 relative error 7.303027810830158e-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) 1.2224272812490724 y[1] (numeric) 1.2224272812490729 absolute error 4.440892098500626e-16 relative error 3.632847668421582e-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) 1.2287539850028937 y[1] (numeric) 1.228753985002894 absolute error 2.220446049250313e-16 relative error 1.8070712903894136e-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) 1.2351578127155118 y[1] (numeric) 1.235157812715512 absolute error 2.220446049250313e-16 relative error 1.797702306856345e-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) 1.241638124009492 y[1] (numeric) 1.2416381240094923 absolute error 2.220446049250313e-16 relative error 1.788319806160638e-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) 1.2481942708591054 y[1] (numeric) 1.2481942708591054 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] 0.7300000000000005 y[1] (closed_form) 1.2548255976551301 y[1] (numeric) 1.2548255976551301 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] 0.7400000000000005 y[1] (closed_form) 1.2615314412704124 y[1] (numeric) 1.261531441270413 absolute error 6.661338147750939e-16 relative error 5.280358403943311e-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) 1.2683111311261794 y[1] (numeric) 1.26831113112618 absolute error 6.661338147750939e-16 relative error 5.2521325282670156e-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) 1.2751639892590951 y[1] (numeric) 1.2751639892590958 absolute error 6.661338147750939e-16 relative error 5.223907045572513e-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) 1.282089330389057 y[1] (numeric) 1.2820893303890575 absolute error 4.440892098500626e-16 relative error 3.4637930394078026e-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) 1.289086461987723 y[1] (numeric) 1.2890864619877236 absolute error 6.661338147750939e-16 relative error 5.167487475959841e-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) 1.2961546843477643 y[1] (numeric) 1.2961546843477647 absolute error 4.440892098500626e-16 relative error 3.426205338088424e-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) 1.3032932906528352 y[1] (numeric) 1.3032932906528356 absolute error 4.440892098500626e-16 relative error 3.407438778631424e-14% 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) 1.3105015670482534 y[1] (numeric) 1.3105015670482538 absolute error 4.440892098500626e-16 relative error 3.3886965190764324e-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) 1.317778792712387 y[1] (numeric) 1.317778792712387 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] 0.8300000000000006 y[1] (closed_form) 1.3251242399287335 y[1] (numeric) 1.325124239928733 absolute error 4.440892098500626e-16 relative error 3.351302439942886e-14% 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) 1.3325371741586922 y[1] (numeric) 1.332537174158692 absolute error 2.220446049250313e-16 relative error 1.666329534597944e-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) 1.3400168541150184 y[1] (numeric) 1.3400168541150175 absolute error 8.881784197001252e-16 relative error 6.628113795529095e-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) 1.3475625318359485 y[1] (numeric) 1.3475625318359477 absolute error 8.881784197001252e-16 relative error 6.59099966581923e-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) 1.3551734527599995 y[1] (numeric) 1.3551734527599983 absolute error 1.1102230246251565e-15 relative error 8.19247914253362e-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) 1.3628488558014205 y[1] (numeric) 1.362848855801419 absolute error 1.5543122344752192e-15 relative error 1.1404876100961387e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 1.3705879734263036 y[1] (numeric) 1.370587973426302 absolute error 1.5543122344752192e-15 relative error 1.1340477697244251e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 1.378390031729336 y[1] (numeric) 1.3783900317293347 absolute error 1.3322676295501878e-15 relative error 9.665389322924203e-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) 1.386254250511189 y[1] (numeric) 1.3862542505111877 absolute error 1.3322676295501878e-15 relative error 9.610557580320541e-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) 1.3941798433565378 y[1] (numeric) 1.394179843356536 absolute error 1.7763568394002505e-15 relative error 1.274123168445477e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 1.4021660177127022 y[1] (numeric) 1.4021660177127009 absolute error 1.3322676295501878e-15 relative error 9.501497060408461e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 1.4102119749689024 y[1] (numeric) 1.4102119749689006 absolute error 1.7763568394002505e-15 relative error 1.2596381756291795e-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) 1.418316910536117 y[1] (numeric) 1.4183169105361155 absolute error 1.5543122344752192e-15 relative error 1.09588500491593e-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) 1.426480013927544 y[1] (numeric) 1.4264800139275426 absolute error 1.3322676295501878e-15 relative error 9.339546411744248e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 1.4347004688396463 y[1] (numeric) 1.4347004688396445 absolute error 1.7763568394002505e-15 relative error 1.2381377702043468e-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) 1.4429774532337833 y[1] (numeric) 1.4429774532337816 absolute error 1.7763568394002505e-15 relative error 1.231035755561771e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 1.4513101394184131 y[1] (numeric) 1.4513101394184111 absolute error 1.9984014443252818e-15 relative error 1.3769637447211012e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 1.4596976941318607 y[1] (numeric) 1.4596976941318591 absolute error 1.5543122344752192e-15 relative error 1.0648179008048851e-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) 1.4681392786256442 y[1] (numeric) 1.4681392786256435 absolute error 6.661338147750939e-16 relative error 4.5372658062706125e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 1.4766340487483491 y[1] (numeric) 1.4766340487483491 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 1.4851811550300424 y[1] (numeric) 1.4851811550300433 absolute error 8.881784197001252e-16 relative error 5.980269926614839e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 1.4937797427672184 y[1] (numeric) 1.4937797427672201 absolute error 1.7763568394002505e-15 relative error 1.1891691850831768e-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) 1.5024289521082688 y[1] (numeric) 1.5024289521082714 absolute error 2.6645352591003757e-15 relative error 1.773485032594315e-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) 1.5111279181394672 y[1] (numeric) 1.5111279181394706 absolute error 3.3306690738754696e-15 relative error 2.2040947254659025e-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) 1.5198757709714596 y[1] (numeric) 1.5198757709714639 absolute error 4.218847493575595e-15 relative error 2.775784425380393e-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) 1.5286716358262529 y[1] (numeric) 1.5286716358262578 absolute error 4.884981308350689e-15 relative error 3.1955726749063003e-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) 1.537514633124691 y[1] (numeric) 1.537514633124697 absolute error 5.995204332975845e-15 relative error 3.899282780022582e-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) 1.5464038785744134 y[1] (numeric) 1.5464038785744205 absolute error 7.105427357601002e-15 relative error 4.594806994503465e-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) 1.5553384832582828 y[1] (numeric) 1.5553384832582908 absolute error 7.993605777301127e-15 relative error 5.139463765183319e-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) 1.5643175537232765 y[1] (numeric) 1.5643175537232854 absolute error 8.881784197001252e-15 relative error 5.677737346781967e-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) 1.5733401920698302 y[1] (numeric) 1.57334019206984 absolute error 9.769962616701378e-15 relative error 6.209694931805158e-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) 1.5824054960416285 y[1] (numeric) 1.5824054960416392 absolute error 1.0658141036401503e-14 relative error 6.735404460527176e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 1.5915125591158281 y[1] (numeric) 1.5915125591158399 absolute error 1.176836406102666e-14 relative error 7.394452524813645e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 1.6006604705937113 y[1] (numeric) 1.6006604705937237 absolute error 1.2434497875801753e-14 relative error 7.76835444133233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 1.6098483156917531 y[1] (numeric) 1.6098483156917665 absolute error 1.3322676295501878e-14 relative error 8.275733909611921e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 1.6190751756331005 y[1] (numeric) 1.6190751756331145 absolute error 1.3988810110276972e-14 relative error 8.640000366139259e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 1.6283401277394483 y[1] (numeric) 1.6283401277394636 absolute error 1.532107773982716e-14 relative error 9.409015646563183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 1.6376422455233066 y[1] (numeric) 1.6376422455233226 absolute error 1.5987211554602254e-14 relative error 9.762334599211295e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 1.6469805987806487 y[1] (numeric) 1.6469805987806658 absolute error 1.709743457922741e-14 relative error 1.038107831499994e-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) 1.6563542536839309 y[1] (numeric) 1.656354253683949 absolute error 1.8207657603852567e-14 relative error 1.0992610767507343e-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) 1.6657622728754742 y[1] (numeric) 1.6657622728754933 absolute error 1.9095836023552692e-14 relative error 1.1463722245665377e-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) 1.6752037155611994 y[1] (numeric) 1.6752037155612194 absolute error 1.9984014443252818e-14 relative error 1.1929304034857695e-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) 1.684677637604706 y[1] (numeric) 1.684677637604727 absolute error 2.1094237467877974e-14 relative error 1.2521230766658722e-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) 1.694183091621684 y[1] (numeric) 1.6941830916217062 absolute error 2.220446049250313e-14 relative error 1.3106293293984457e-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) 1.7037191270746534 y[1] (numeric) 1.7037191270746768 absolute error 2.3314683517128287e-14 relative error 1.3684581658222287e-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) 1.7132847903680155 y[1] (numeric) 1.7132847903680397 absolute error 2.4202861936828413e-14 relative error 1.4126584250846942e-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) 1.7228791249434123 y[1] (numeric) 1.7228791249434374 absolute error 2.5091040356528538e-14 relative error 1.4563436281319299e-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) 1.7325011713753815 y[1] (numeric) 1.7325011713754073 absolute error 2.5757174171303632e-14 relative error 1.4867045746846896e-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) 1.742149967467298 y[1] (numeric) 1.7421499674673249 absolute error 2.6867397195928788e-14 relative error 1.5421977268115477e-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) 1.7518245483475936 y[1] (numeric) 1.7518245483476216 absolute error 2.7977620220553945e-14 relative error 1.5970560663134787e-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) 1.7615239465662422 y[1] (numeric) 1.7615239465662715 absolute error 2.930988785010413e-14 relative error 1.6638938066801883e-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) 1.7712471921915047 y[1] (numeric) 1.7712471921915351 absolute error 3.042011087472929e-14 relative error 1.7174401748573278e-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) 1.7809933129069215 y[1] (numeric) 1.780993312906953 absolute error 3.1530333899354446e-14 relative error 1.7703791289306367e-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) 1.7907613341085424 y[1] (numeric) 1.790761334108575 absolute error 3.26405569239796e-14 relative error 1.822719549628224e-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) 1.8005502790023877 y[1] (numeric) 1.800550279002421 absolute error 3.3306690738754696e-14 relative error 1.849806202424327e-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) 1.8103591687021252 y[1] (numeric) 1.8103591687021594 absolute error 3.419486915845482e-14 relative error 1.888844476257695e-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) 1.820187022326959 y[1] (numeric) 1.820187022326994 absolute error 3.5083047578154947e-14 relative error 1.9274419138152168e-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) 1.8300328570997162 y[1] (numeric) 1.8300328570997526 absolute error 3.6415315207705135e-14 relative error 1.9898722072901507e-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) 1.839895688445125 y[1] (numeric) 1.8398956884451623 absolute error 3.730349362740526e-14 relative error 2.0274787240210352e-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) 1.849774530088269 y[1] (numeric) 1.8497745300883077 absolute error 3.863576125695545e-14 relative error 2.088674085868822e-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) 1.859668394153217 y[1] (numeric) 1.8596683941532566 absolute error 3.952393967665557e-14 relative error 2.1253219015238702e-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) 1.869576291261807 y[1] (numeric) 1.8695762912618477 absolute error 4.063416270128073e-14 relative error 2.1734423404490267e-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) 1.8794972306325848 y[1] (numeric) 1.8794972306326265 absolute error 4.1744385725905886e-14 relative error 2.2210400231266064e-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) 1.8894302201798807 y[1] (numeric) 1.8894302201799233 absolute error 4.263256414560601e-14 relative error 2.256371454752493e-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) 1.8993742666130176 y[1] (numeric) 1.8993742666130609 absolute error 4.3298697960381105e-14 relative error 2.2796295980987337e-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) 1.9093283755356383 y[1] (numeric) 1.9093283755356831 absolute error 4.4853010194856324e-14 relative error 2.349151186855083e-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) 1.9192915515451463 y[1] (numeric) 1.9192915515451923 absolute error 4.596323321948148e-14 relative error 2.394802039454521e-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) 1.9292627983322428 y[1] (numeric) 1.9292627983322896 absolute error 4.6851411639181606e-14 relative error 2.4284618808636364e-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) 1.9392411187805587 y[1] (numeric) 1.939241118780607 absolute error 4.8183679268731794e-14 relative error 2.484666749384463e-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) 1.9492255150663642 y[1] (numeric) 1.949225515066414 absolute error 4.973799150320701e-14 relative error 2.551679686047697e-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) 1.9592149887583512 y[1] (numeric) 1.959214988758402 absolute error 5.084821452783217e-14 relative error 2.595336133073233e-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) 1.969208540917475 y[1] (numeric) 1.969208540917527 absolute error 5.1958437552457326e-14 relative error 2.6385441903603233e-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) 1.9792051721968476 y[1] (numeric) 1.9792051721969006 absolute error 5.306866057708248e-14 relative error 2.681311736780586e-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) 1.9892038829416716 y[1] (numeric) 1.9892038829417256 absolute error 5.395683899678261e-14 relative error 2.7124840977582566e-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) 1.9992036732892047 y[1] (numeric) 1.9992036732892597 absolute error 5.5067062021407764e-14 relative error 2.754449822053812e-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) 2.009203543268745 y[1] (numeric) 2.009203543268802 absolute error 5.684341886080802e-14 relative error 2.8291518323887813e-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) 2.0192024929016283 y[1] (numeric) 2.019202492901685 absolute error 5.684341886080802e-14 relative error 2.8151420702300667e-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) 2.0291995223012234 y[1] (numeric) 2.029199522301282 absolute error 5.861977570020827e-14 relative error 2.8888128080047165e-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) 2.039193631772921 y[1] (numeric) 2.039193631772981 absolute error 5.995204332975845e-14 relative error 2.939987767499783e-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) 2.0491838219141028 y[1] (numeric) 2.0491838219141636 absolute error 6.084022174945858e-14 relative error 2.96899775895307e-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) 2.05916909371408 y[1] (numeric) 2.059169093714142 absolute error 6.217248937900877e-14 relative error 3.019299851032125e-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) 2.0691484486539924 y[1] (numeric) 2.069148448654056 absolute error 6.350475700855895e-14 relative error 3.069125226363996e-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) 2.0791208888066635 y[1] (numeric) 2.079120888806728 absolute error 6.439293542825908e-14 relative error 3.097123201201551e-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) 2.0890854169363875 y[1] (numeric) 2.0890854169364537 absolute error 6.616929226765933e-14 relative error 3.1673808898008395e-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) 2.0990410365986554 y[1] (numeric) 2.099041036598723 absolute error 6.750155989720952e-14 relative error 3.215828500741983e-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) 2.1089867522397974 y[1] (numeric) 2.108986752239866 absolute error 6.88338275267597e-14 relative error 3.2638340403824936e-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) 2.1189215692965373 y[1] (numeric) 2.1189215692966066 absolute error 6.927791673660977e-14 relative error 3.269489429927763e-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) 2.128844494295449 y[1] (numeric) 2.1288444942955187 absolute error 6.972200594645983e-14 relative error 3.2751103301950973e-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) 2.1387545349523007 y[1] (numeric) 2.138754534952372 absolute error 7.149836278586008e-14 relative error 3.3429905871575234e-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) 2.148650700271286 y[1] (numeric) 2.148650700271358 absolute error 7.238654120556021e-14 relative error 3.368930147483757e-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) 2.158532000644119 y[1] (numeric) 2.1585320006441933 absolute error 7.416289804496046e-14 relative error 3.435802574287979e-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) 2.168397447948997 y[1] (numeric) 2.1683974479490726 absolute error 7.549516567451064e-14 relative error 3.48161107392552e-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) 2.1782460556494114 y[1] (numeric) 2.178246055649488 absolute error 7.638334409421077e-14 relative error 3.506644435145699e-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) 2.1880768388927985 y[1] (numeric) 2.1880768388928753 absolute error 7.682743330406083e-14 relative error 3.511185344977955e-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) 2.1978888146090263 y[1] (numeric) 2.1978888146091045 absolute error 7.815970093361102e-14 relative error 3.5561262432428613e-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) 2.2076810016087003 y[1] (numeric) 2.2076810016087793 absolute error 7.904787935331115e-14 relative error 3.580584300707859e-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) 2.2174524206812802 y[1] (numeric) 2.2174524206813606 absolute error 8.038014698286133e-14 relative error 3.62488711068559e-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) 2.227202094693002 y[1] (numeric) 2.2272020946930833 absolute error 8.126832540256146e-14 relative error 3.6488976728339284e-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) 2.2369290486845888 y[1] (numeric) 2.2369290486846705 absolute error 8.171241461241152e-14 relative error 3.652883611148148e-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) 2.246632309968747 y[1] (numeric) 2.2466323099688297 absolute error 8.260059303211165e-14 relative error 3.676640483874315e-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) 2.256310908227435 y[1] (numeric) 2.2563109082275186 absolute error 8.348877145181177e-14 relative error 3.700233471698313e-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) 2.265963875608892 y[1] (numeric) 2.265963875608977 absolute error 8.526512829121202e-14 relative error 3.7628635305715215e-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) 2.2755902468244233 y[1] (numeric) 2.27559024682451 absolute error 8.659739592076221e-14 relative error 3.805491609994748e-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) 2.2851890592449307 y[1] (numeric) 2.2851890592450177 absolute error 8.704148513061227e-14 relative error 3.808940217811668e-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) 2.29475935299717 y[1] (numeric) 2.294759352997258 absolute error 8.79296635503124e-14 relative error 3.831759676040454e-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) 2.3043001710597415 y[1] (numeric) 2.304300171059831 absolute error 8.970602038971265e-14 relative error 3.8929832804055685e-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) 2.31381055935879 y[1] (numeric) 2.3138105593588802 absolute error 9.015010959956271e-14 relative error 3.896175044881175e-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) 2.3232895668634104 y[1] (numeric) 2.3232895668635014 absolute error 9.103828801926284e-14 relative error 3.918508020598154e-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) 2.3327362456807514 y[1] (numeric) 2.332736245680844 absolute error 9.237055564881302e-14 relative error 3.959751378658626e-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) 2.3421496511508035 y[1] (numeric) 2.342149651150897 absolute error 9.325873406851315e-14 relative error 3.981758126458356e-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) 2.3515288419408646 y[1] (numeric) 2.351528841940959 absolute error 9.414691248821327e-14 relative error 4.0036469384958896e-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) 2.3608728801396714 y[1] (numeric) 2.360872880139767 absolute error 9.547918011776346e-14 relative error 4.044232153326054e-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) 2.3701808313511905 y[1] (numeric) 2.370180831351287 absolute error 9.636735853746359e-14 relative error 4.065823048721838e-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) 2.3794517647880573 y[1] (numeric) 2.379451764788155 absolute error 9.769962616701378e-14 relative error 4.105972124033205e-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) 2.3886847533646542 y[1] (numeric) 2.388684753364753 absolute error 9.85878045867139e-14 relative error 4.127284039798264e-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) 2.397878873789818 y[1] (numeric) 2.3978788737899173 absolute error 9.947598300641403e-14 relative error 4.148499079488259e-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) 2.4070332066591664 y[1] (numeric) 2.4070332066592672 absolute error 1.0080825063596421e-13 relative error 4.188070623914686e-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) 2.4161468365470427 y[1] (numeric) 2.4161468365471443 absolute error 1.0169642905566434e-13 relative error 4.209033470871351e-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) 2.4252188520980527 y[1] (numeric) 2.425218852098155 absolute error 1.021405182655144e-13 relative error 4.211600044967192e-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) 2.4342483461182 y[1] (numeric) 2.434248346118304 absolute error 1.0391687510491465e-13 relative error 4.268951246105468e-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) 2.443234415665608 y[1] (numeric) 2.443234415665713 absolute error 1.0480505352461478e-13 relative error 4.2896028662916015e-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) 2.4521761621408107 y[1] (numeric) 2.4521761621409164 absolute error 1.056932319443149e-13 relative error 4.310181037403205e-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) 2.461072691376611 y[1] (numeric) 2.461072691376718 absolute error 1.0658141036401503e-13 relative error 4.330689245281832e-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) 2.4699231137275 y[1] (numeric) 2.4699231137276074 absolute error 1.0746958878371515e-13 relative error 4.351130939518467e-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) 2.4787265441586173 y[1] (numeric) 2.4787265441587256 absolute error 1.0835776720341528e-13 relative error 4.371509534150585e-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) 2.487482102334256 y[1] (numeric) 2.4874821023343654 absolute error 1.092459456231154e-13 relative error 4.391828408357145e-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) 2.4961889127058954 y[1] (numeric) 2.496188912706005 absolute error 1.0969003483296547e-13 relative error 4.394300218009554e-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) 2.5048461045997534 y[1] (numeric) 2.504846104599864 absolute error 1.1057821325266559e-13 relative error 4.414571140702265e-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) 2.5134528123038553 y[1] (numeric) 2.513452812303967 absolute error 1.1191048088221578e-13 relative error 4.4524599918642415e-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) 2.522008175154603 y[1] (numeric) 2.522008175154716 absolute error 1.1324274851176597e-13 relative error 4.490181658702356e-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) 2.53051133762284 y[1] (numeric) 2.5305113376229538 absolute error 1.1368683772161603e-13 relative error 4.492642891235308e-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) 2.538961449399406 y[1] (numeric) 2.5389614493995216 absolute error 1.1546319456101628e-13 relative error 4.547654498193709e-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) 2.547357665480166 y[1] (numeric) 2.547357665480282 absolute error 1.1590728377086634e-13 relative error 4.5500985331409405e-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) 2.555699146250507 y[1] (numeric) 2.5556991462506238 absolute error 1.1679546219056647e-13 relative error 4.570000438506947e-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) 2.5639850575693046 y[1] (numeric) 2.5639850575694223 absolute error 1.176836406102666e-13 relative error 4.589872326394617e-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) 2.572214570852331 y[1] (numeric) 2.57221457085245 absolute error 1.1901590823981678e-13 relative error 4.626982118384454e-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) 2.580386863155116 y[1] (numeric) 2.580386863155235 absolute error 1.1901590823981678e-13 relative error 4.6123280946444e-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) 2.5885011172552397 y[1] (numeric) 2.58850111725536 absolute error 1.2034817586936697e-13 relative error 4.649338378380928e-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) 2.596556521734054 y[1] (numeric) 2.5965565217341746 absolute error 1.2079226507921703e-13 relative error 4.652017549710358e-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) 2.6045522710578233 y[1] (numeric) 2.6045522710579454 absolute error 1.2212453270876722e-13 relative error 4.6888877626236725e-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) 2.6124875656582787 y[1] (numeric) 2.6124875656584017 absolute error 1.2301271112846734e-13 relative error 4.708642932716556e-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) 2.620361612012573 y[1] (numeric) 2.620361612012697 absolute error 1.2390088954816747e-13 relative error 4.7283889742608915e-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) 2.628173622722633 y[1] (numeric) 2.6281736227227563 absolute error 1.234568003383174e-13 relative error 4.6974370060994466e-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) 2.6359228165938964 y[1] (numeric) 2.6359228165940207 absolute error 1.2434497875801753e-13 relative error 4.717322448716249e-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) 2.643608418713434 y[1] (numeric) 2.643608418713559 absolute error 1.247890679678676e-13 relative error 4.72040666403229e-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) 2.6512296605274392 y[1] (numeric) 2.6512296605275645 absolute error 1.2523315717771766e-13 relative error 4.723587663575082e-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) 2.6587857799180816 y[1] (numeric) 2.6587857799182073 absolute error 1.2567724638756772e-13 relative error 4.726866200985921e-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) 2.6662760212797183 y[1] (numeric) 2.6662760212798453 absolute error 1.270095140171179e-13 relative error 4.7635545983779215e-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) 2.673699635594455 y[1] (numeric) 2.6736996355945823 absolute error 1.2745360322696797e-13 relative error 4.766937973518132e-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) 2.6810558805070466 y[1] (numeric) 2.681055880507175 absolute error 1.283417816466681e-13 relative error 4.7869864473841495e-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) 2.688344020399133 y[1] (numeric) 2.6883440203992612 absolute error 1.283417816466681e-13 relative error 4.774008857230016e-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) 2.6955633264627967 y[1] (numeric) 2.6955633264629264 absolute error 1.2967404927621828e-13 relative error 4.8106474814813814e-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) 2.7027130767734486 y[1] (numeric) 2.7027130767735796 absolute error 1.3100631690576847e-13 relative error 4.84721511993298e-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) 2.7097925563620158 y[1] (numeric) 2.709792556362147 absolute error 1.3145040611561853e-13 relative error 4.850939818511235e-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) 2.716801057286438 y[1] (numeric) 2.7168010572865704 absolute error 1.3233858453531866e-13 relative error 4.871117970908752e-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) 2.7237378787024644 y[1] (numeric) 2.723737878702597 absolute error 1.3278267374516872e-13 relative error 4.875016600658496e-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) 2.730602326933733 y[1] (numeric) 2.730602326933867 absolute error 1.3367085216486885e-13 relative error 4.895288151130064e-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) 2.737393715541142 y[1] (numeric) 2.7373937155412764 absolute error 1.3455903058456897e-13 relative error 4.915589227104244e-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) 2.7441113653914893 y[1] (numeric) 2.7441113653916247 absolute error 1.354472090042691e-13 relative error 4.935922452438278e-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) 2.750754604725388 y[1] (numeric) 2.7507546047255245 absolute error 1.3633538742396922e-13 relative error 4.956290437168232e-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) 2.7573227692244413 y[1] (numeric) 2.7573227692245785 absolute error 1.3722356584366935e-13 relative error 4.976695778066872e-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) 2.763815202077672 y[1] (numeric) 2.76381520207781 absolute error 1.3811174426336947e-13 relative error 4.9971410591976366e-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) 2.7702312540472063 y[1] (numeric) 2.770231254047345 absolute error 1.3855583347321954e-13 relative error 5.001598089357866e-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) 2.7765702835331925 y[1] (numeric) 2.776570283533332 absolute error 1.3944401189291966e-13 relative error 5.022167553975144e-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) 2.782831656637965 y[1] (numeric) 2.7828316566381055 absolute error 1.4033219031261979e-13 relative error 5.042784028199534e-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) 2.7890147472294315 y[1] (numeric) 2.7890147472295728 absolute error 1.412203687323199e-13 relative error 5.063450054274767e-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) 2.7951189370036853 y[1] (numeric) 2.795118937003827 absolute error 1.4166445794216997e-13 relative error 5.0682801388777965e-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) 2.8011436155468354 y[1] (numeric) 2.801143615546978 absolute error 1.425526363618701e-13 relative error 5.089087027551108e-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) 2.8070881803960486 y[1] (numeric) 2.8070881803961916 absolute error 1.4299672557172016e-13 relative error 5.094130158445715e-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) 2.812952037099793 y[1] (numeric) 2.8129520370999375 absolute error 1.4432899320127035e-13 relative error 5.130872880082103e-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) 2.8187345992772856 y[1] (numeric) 2.8187345992774313 absolute error 1.4566126083082054e-13 relative error 5.167611766931431e-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) 2.824435288677127 y[1] (numeric) 2.824435288677273 absolute error 1.461053500406706e-13 relative error 5.172904850268372e-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) 2.8300535352351277 y[1] (numeric) 2.830053535235275 absolute error 1.474376176702208e-13 relative error 5.20971125933034e-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) 2.8355887771313135 y[1] (numeric) 2.8355887771314627 absolute error 1.4921397450962104e-13 relative error 5.262186665182695e-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) 2.8410404608461084 y[1] (numeric) 2.8410404608462585 absolute error 1.5010215292932116e-13 relative error 5.283351469222592e-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) 2.8464080412156836 y[1] (numeric) 2.8464080412158346 absolute error 1.509903313490213e-13 relative error 5.304591933506984e-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) 2.8516909814864744 y[1] (numeric) 2.8516909814866267 absolute error 1.5232259897857148e-13 relative error 5.341483350316299e-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) 2.8568887533688567 y[1] (numeric) 2.8568887533690104 absolute error 1.5365486660812167e-13 relative error 5.3783986662739706e-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) 2.8620008370899743 y[1] (numeric) 2.862000837090128 absolute error 1.5365486660812167e-13 relative error 5.3687918122468084e-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) 2.867026721445714 y[1] (numeric) 2.867026721445869 absolute error 1.5498713423767185e-13 relative error 5.405848961167643e-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) 2.8719659038518293 y[1] (numeric) 2.871965903851985 absolute error 1.5587531265737198e-13 relative error 5.4274778279336394e-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) 2.8768178903941948 y[1] (numeric) 2.8768178903943515 absolute error 1.567634910770721e-13 relative error 5.449197587393746e-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) 2.8815821958782006 y[1] (numeric) 2.881582195878358 absolute error 1.5720758028692217e-13 relative error 5.4555993756413064e-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) 2.8862583438772678 y[1] (numeric) 2.886258343877425 absolute error 1.5720758028692217e-13 relative error 5.4467605306507894e-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) 2.8908458667804933 y[1] (numeric) 2.890845866780651 absolute error 1.5765166949677223e-13 relative error 5.453478904164038e-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) 2.89534430583941 y[1] (numeric) 2.8953443058395685 absolute error 1.5853984791647235e-13 relative error 5.4756820318994476e-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) 2.8997532112138606 y[1] (numeric) 2.899753211214019 absolute error 1.5853984791647235e-13 relative error 5.4673565772208e-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) 2.9040721420169815 y[1] (numeric) 2.904072142017141 absolute error 1.5942802633617248e-13 relative error 5.489809431023433e-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) 2.908300666359292 y[1] (numeric) 2.9083006663594517 absolute error 1.5987211554602254e-13 relative error 5.497097236034946e-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) 2.9124383613918807 y[1] (numeric) 2.912438361392041 absolute error 1.603162047558726e-13 relative error 5.504535542488049e-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) 2.9164848133486934 y[1] (numeric) 2.916484813348854 absolute error 1.6076029396572267e-13 relative error 5.5121251867976816e-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) 2.920439617587906 y[1] (numeric) 2.920439617588067 absolute error 1.6076029396572267e-13 relative error 5.504660770849981e-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) 2.9243023786323903 y[1] (numeric) 2.9243023786325524 absolute error 1.6209256159527285e-13 relative error 5.542948047358862e-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) 2.928072710209261 y[1] (numeric) 2.928072710209423 absolute error 1.6209256159527285e-13 relative error 5.535810672669005e-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) 2.9317502352885016 y[1] (numeric) 2.931750235288664 absolute error 1.6253665080512292e-13 relative error 5.54401424953338e-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) 2.93533458612067 y[1] (numeric) 2.9353345861208333 absolute error 1.6342482922482304e-13 relative error 5.567502593999168e-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) 2.938825404273669 y[1] (numeric) 2.938825404273833 absolute error 1.6431300764452317e-13 relative error 5.591111585110758e-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) 2.942222340668592 y[1] (numeric) 2.9422223406687564 absolute error 1.6431300764452317e-13 relative error 5.584656379408247e-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) 2.945525055614631 y[1] (numeric) 2.9455250556147954 absolute error 1.6431300764452317e-13 relative error 5.578394498166529e-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) 2.948733218843044 y[1] (numeric) 2.9487332188432083 absolute error 1.6431300764452317e-13 relative error 5.572325315648342e-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) 2.951846509540181 y[1] (numeric) 2.9518465095403457 absolute error 1.6475709685437323e-13 relative error 5.581492679984841e-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) 2.9548646163795667 y[1] (numeric) 2.954864616379731 absolute error 1.6431300764452317e-13 relative error 5.5607626398073995e-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) 2.957787237553032 y[1] (numeric) 2.957787237553197 absolute error 1.6475709685437323e-13 relative error 5.570282228639144e-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) 2.9606140808008954 y[1] (numeric) 2.960614080801061 absolute error 1.6564527527407336e-13 relative error 5.594963435060862e-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) 2.963344863441188 y[1] (numeric) 2.9633448634413537 absolute error 1.6564527527407336e-13 relative error 5.5898075623138094e-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) 2.9659793123979217 y[1] (numeric) 2.965979312398087 absolute error 1.652011860642233e-13 relative error 5.569869802317069e-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) 2.9685171642283947 y[1] (numeric) 2.9685171642285613 absolute error 1.6653345369377348e-13 relative error 5.60998789902771e-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) 2.9709581651495407 y[1] (numeric) 2.9709581651497077 absolute error 1.6697754290362354e-13 relative error 5.62032629278773e-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) 2.9733020710633005 y[1] (numeric) 2.973302071063468 absolute error 1.674216321134736e-13 relative error 5.6308315842796605e-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) 2.9755486475810367 y[1] (numeric) 2.975548647581204 absolute error 1.674216321134736e-13 relative error 5.6265802358693925e-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) 2.9776976700469686 y[1] (numeric) 2.977697670047136 absolute error 1.674216321134736e-13 relative error 5.622519498792259e-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) 2.9797489235606416 y[1] (numeric) 2.9797489235608094 absolute error 1.6786572132332367e-13 relative error 5.633552545183339e-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) 2.981702202998413 y[1] (numeric) 2.9817022029985814 absolute error 1.6830981053317373e-13 relative error 5.6447558835325885e-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) 2.9835573130339674 y[1] (numeric) 2.9835573130341353 absolute error 1.6786572132332367e-13 relative error 5.626361544656291e-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) 2.9853140681578467 y[1] (numeric) 2.9853140681580146 absolute error 1.6786572132332367e-13 relative error 5.623050623511411e-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) 2.9869722926960027 y[1] (numeric) 2.9869722926961706 absolute error 1.6786572132332367e-13 relative error 5.619928974025073e-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) 2.988531820827363 y[1] (numeric) 2.988531820827531 absolute error 1.6786572132332367e-13 relative error 5.61699628404327e-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) 2.9899924966004146 y[1] (numeric) 2.989992496600582 absolute error 1.674216321134736e-13 relative error 5.599399741097343e-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) 2.991354173948797 y[1] (numeric) 2.991354173948965 absolute error 1.6786572132332367e-13 relative error 5.6116966284112445e-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) 2.99261671670591 y[1] (numeric) 2.992616716706078 absolute error 1.6786572132332367e-13 relative error 5.609329132803215e-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) 2.993779998618531 y[1] (numeric) 2.9937799986186993 absolute error 1.6830981053317373e-13 relative error 5.62198326566547e-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) 2.9948439033594365 y[1] (numeric) 2.9948439033596053 absolute error 1.687538997430238e-13 relative error 5.634814540875596e-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) 2.995808324539041 y[1] (numeric) 2.9958083245392095 absolute error 1.687538997430238e-13 relative error 5.633000561509209e-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) 2.996673165716028 y[1] (numeric) 2.996673165716197 absolute error 1.6919798895287386e-13 relative error 5.646194282666976e-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) 2.9974383404070024 y[1] (numeric) 2.997438340407171 absolute error 1.687538997430238e-13 relative error 5.6299373190812596e-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) 2.9981037720951313 y[1] (numeric) 2.9981037720953 absolute error 1.687538997430238e-13 relative error 5.628687749693714e-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) 2.998669394237802 y[1] (numeric) 2.9986693942379703 absolute error 1.6830981053317373e-13 relative error 5.612816499764707e-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) 2.99913515027327 y[1] (numeric) 2.9991351502734385 absolute error 1.6830981053317373e-13 relative error 5.6119448474283645e-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) 2.9995009936263206 y[1] (numeric) 2.999500993626489 absolute error 1.6830981053317373e-13 relative error 5.611260369335349e-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) 2.9997668877129233 y[1] (numeric) 2.9997668877130916 absolute error 1.6830981053317373e-13 relative error 5.610762997037286e-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) 2.999932805943891 y[1] (numeric) 2.9999328059440598 absolute error 1.687538997430238e-13 relative error 5.62525598602291e-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) 2.999998731727539 y[1] (numeric) 2.999998731727707 absolute error 1.6786572132332367e-13 relative error 5.5955264096614724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 2.999964658471344 y[1] (numeric) 2.999964658471512 absolute error 1.6786572132332367e-13 relative error 5.595589963011797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 2.9998305895826025 y[1] (numeric) 2.999830589582771 absolute error 1.6830981053317373e-13 relative error 5.610643851611381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 2.9995965384680927 y[1] (numeric) 2.9995965384682606 absolute error 1.6786572132332367e-13 relative error 5.596276671563751e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 2.9992625285327303 y[1] (numeric) 2.9992625285328987 absolute error 1.6830981053317373e-13 relative error 5.611706508916797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 2.9988285931772305 y[1] (numeric) 2.9988285931773992 absolute error 1.687538997430238e-13 relative error 5.627327287960485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 2.998294775794767 y[1] (numeric) 2.9982947757949363 absolute error 1.6919798895287386e-13 relative error 5.643140571727943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 2.9976611297666342 y[1] (numeric) 2.997661129766803 absolute error 1.687538997430238e-13 relative error 5.629518896158925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 2.996927718456906 y[1] (numeric) 2.996927718457074 absolute error 1.6830981053317373e-13 relative error 5.616078409119427e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 2.9960946152061023 y[1] (numeric) 2.9960946152062706 absolute error 1.6830981053317373e-13 relative error 5.617640033093402e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 2.9951619033238543 y[1] (numeric) 2.995161903324022 absolute error 1.6786572132332367e-13 relative error 5.6045625158705505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 2.994129676080573 y[1] (numeric) 2.9941296760807403 absolute error 1.674216321134736e-13 relative error 5.591662694203504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 2.992998036698122 y[1] (numeric) 2.992998036698289 absolute error 1.6697754290362354e-13 relative error 5.5789392728046465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 2.991767098339497 y[1] (numeric) 2.991767098339664 absolute error 1.6697754290362354e-13 relative error 5.5812346822150735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 2.9904369840975074 y[1] (numeric) 2.990436984097674 absolute error 1.6653345369377348e-13 relative error 5.5688668438546645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 2.98900782698247 y[1] (numeric) 2.989007826982637 absolute error 1.6697754290362354e-13 relative error 5.5863869407192034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 2.9874797699089046 y[1] (numeric) 2.9874797699090716 absolute error 1.6697754290362354e-13 relative error 5.589244305032234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 2.9858529656812456 y[1] (numeric) 2.9858529656814126 absolute error 1.6697754290362354e-13 relative error 5.5922895341072605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 2.9841275769785596 y[1] (numeric) 2.9841275769787265 absolute error 1.6697754290362354e-13 relative error 5.595522932457497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 2.98230377633828 y[1] (numeric) 2.982303776338446 absolute error 1.6608936448392342e-13 relative error 5.5691632020078984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 2.9803817461389492 y[1] (numeric) 2.9803817461391153 absolute error 1.6608936448392342e-13 relative error 5.572754721742955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 2.9783616785819875 y[1] (numeric) 2.978361678582153 absolute error 1.6564527527407336e-13 relative error 5.561623911067036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 2.976243775672466 y[1] (numeric) 2.976243775672632 absolute error 1.6608936448392342e-13 relative error 5.580502707524233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 2.974028249198911 y[1] (numeric) 2.974028249199077 absolute error 1.6608936448392342e-13 relative error 5.584659948292741e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 2.9717153207121236 y[1] (numeric) 2.9717153207122893 absolute error 1.6564527527407336e-13 relative error 5.574062701079292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 2.969305221503025 y[1] (numeric) 2.9693052215031908 absolute error 1.6564527527407336e-13 relative error 5.578587006634023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 2.966798192579528 y[1] (numeric) 2.9667981925796933 absolute error 1.652011860642233e-13 relative error 5.568332435870422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 2.964194484642436 y[1] (numeric) 2.9641944846426003 absolute error 1.6431300764452317e-13 relative error 5.543260015354353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 2.9614943580603716 y[1] (numeric) 2.9614943580605355 absolute error 1.638689184346731e-13 relative error 5.533318609527891e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 2.9586980828437444 y[1] (numeric) 2.958698082843908 absolute error 1.6342482922482304e-13 relative error 5.523538551380265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 2.955805938617745 y[1] (numeric) 2.9558059386179085 absolute error 1.6342482922482304e-13 relative error 5.5289431247724985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 2.9528182145943864 y[1] (numeric) 2.95281821459455 absolute error 1.6342482922482304e-13 relative error 5.534537426553767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 2.9497352095435807 y[1] (numeric) 2.9497352095437432 absolute error 1.6253665080512292e-13 relative error 5.510211570152176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 2.946557231763264 y[1] (numeric) 2.946557231763427 absolute error 1.6298074001497298e-13 relative error 5.531226010412256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 2.943284599048566 y[1] (numeric) 2.9432845990487286 absolute error 1.6253665080512292e-13 relative error 5.522287951958973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 2.9399176386600314 y[1] (numeric) 2.939917638660193 absolute error 1.616484723854228e-13 relative error 5.498401392601584e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 2.9364566872908924 y[1] (numeric) 2.9364566872910536 absolute error 1.6120438317557273e-13 relative error 5.4897585880722186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 2.932902091033403 y[1] (numeric) 2.932902091033564 absolute error 1.6120438317557273e-13 relative error 5.496412023722641e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 2.9292542053442254 y[1] (numeric) 2.9292542053443866 absolute error 1.6120438317557273e-13 relative error 5.503256865910315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 2.9255133950088896 y[1] (numeric) 2.925513395009051 absolute error 1.6120438317557273e-13 relative error 5.5102937983670684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 2.9216800341053117 y[1] (numeric) 2.921680034105472 absolute error 1.603162047558726e-13 relative error 5.4871239452805194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 2.917754505966387 y[1] (numeric) 2.917754505966547 absolute error 1.5987211554602254e-13 relative error 5.47928604751041e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 2.913737203141659 y[1] (numeric) 2.9137372031418183 absolute error 1.5942802633617248e-13 relative error 5.4715993660743834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 2.9096285273580618 y[1] (numeric) 2.9096285273582203 absolute error 1.5853984791647235e-13 relative error 5.448800299618532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 2.90542888947975 y[1] (numeric) 2.905428889479908 absolute error 1.580957587066223e-13 relative error 5.4413914337766195e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 2.901138709467012 y[1] (numeric) 2.90113870946717 absolute error 1.580957587066223e-13 relative error 5.449438118581623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 2.8967584163342734 y[1] (numeric) 2.8967584163344307 absolute error 1.5720758028692217e-13 relative error 5.427017296315023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 2.8922884481071978 y[1] (numeric) 2.892288448107355 absolute error 1.5720758028692217e-13 relative error 5.435404632266316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 2.8877292517788824 y[1] (numeric) 2.887729251779039 absolute error 1.567634910770721e-13 relative error 5.42860765012868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 2.8830812832651613 y[1] (numeric) 2.8830812832653177 absolute error 1.5631940186722204e-13 relative error 5.421956112530633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 2.8783450073590124 y[1] (numeric) 2.878345007359168 absolute error 1.5543122344752192e-13 relative error 5.400020603858597e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 2.8735208976840796 y[1] (numeric) 2.8735208976842346 absolute error 1.5498713423767185e-13 relative error 5.3936317067533445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 2.8686094366473096 y[1] (numeric) 2.8686094366474637 absolute error 1.5409895581797173e-13 relative error 5.371904374618354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 2.863611115390714 y[1] (numeric) 2.863611115390868 absolute error 1.5409895581797173e-13 relative error 5.381280823703826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 2.8585264337422527 y[1] (numeric) 2.8585264337424054 absolute error 1.5276668818842154e-13 relative error 5.344246125736411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 2.8533559001658535 y[1] (numeric) 2.853355900166006 absolute error 1.5232259897857148e-13 relative error 5.338366621903619e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 2.8481000317105654 y[1] (numeric) 2.8481000317107172 absolute error 1.5187850976872141e-13 relative error 5.33262554256226e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 2.842759353958854 y[1] (numeric) 2.842759353959005 absolute error 1.509903313490213e-13 relative error 5.311400387751805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 2.8373344009740435 y[1] (numeric) 2.837334400974194 absolute error 1.5054624213917123e-13 relative error 5.305904093909037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 2.831825715246912 y[1] (numeric) 2.831825715247062 absolute error 1.496580637194711e-13 relative error 5.284861385137261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 2.8262338476414417 y[1] (numeric) 2.826233847641591 absolute error 1.4921397450962104e-13 relative error 5.279604680771324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 2.820559357339733 y[1] (numeric) 2.8205593573398815 absolute error 1.4832579608992091e-13 relative error 5.258736913440366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 2.814802811786088 y[1] (numeric) 2.8148028117862363 absolute error 1.4832579608992091e-13 relative error 5.269491541960027e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 2.8089647866302645 y[1] (numeric) 2.808964786630412 absolute error 1.474376176702208e-13 relative error 5.248823992809546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 2.8030458656699127 y[1] (numeric) 2.803045865670059 absolute error 1.4654943925052066e-13 relative error 5.228221237667695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 2.7970466407921966 y[1] (numeric) 2.7970466407923427 absolute error 1.461053500406706e-13 relative error 5.223557873861187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 2.790967711914605 y[1] (numeric) 2.79096771191475 absolute error 1.4521717162097048e-13 relative error 5.203111845437705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 2.7848096869249592 y[1] (numeric) 2.784809686925103 absolute error 1.438849039914203e-13 relative error 5.166776913588691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 2.7785731816206267 y[1] (numeric) 2.7785731816207697 absolute error 1.4299672557172016e-13 relative error 5.14640847027524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 2.7722588196469413 y[1] (numeric) 2.772258819647083 absolute error 1.4166445794216997e-13 relative error 5.110073306943669e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 2.7658672324348377 y[1] (numeric) 2.7658672324349793 absolute error 1.4166445794216997e-13 relative error 5.121882073040088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 2.7593990591377118 y[1] (numeric) 2.759399059137852 absolute error 1.4033219031261979e-13 relative error 5.085606949379492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 2.752854946567502 y[1] (numeric) 2.7528549465676417 absolute error 1.3988810110276972e-13 relative error 5.08156455091084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 2.7462355491300126 y[1] (numeric) 2.7462355491301516 absolute error 1.389999226830696e-13 relative error 5.061471246598048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 2.7395415287594713 y[1] (numeric) 2.7395415287596085 absolute error 1.3722356584366935e-13 relative error 5.008997469215493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 2.7327735548523364 y[1] (numeric) 2.7327735548524723 absolute error 1.3589129821411916e-13 relative error 4.972651245575375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 2.7259323042003594 y[1] (numeric) 2.725932304200494 absolute error 1.3455903058456897e-13 relative error 4.93625723490009e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 2.7190184609229036 y[1] (numeric) 2.7190184609230377 absolute error 1.341149413747189e-13 relative error 4.932476307247907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 2.7120327163985354 y[1] (numeric) 2.7120327163986686 absolute error 1.3322676295501878e-13 relative error 4.912431997942056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 2.704975769195886 y[1] (numeric) 2.704975769196019 absolute error 1.3322676295501878e-13 relative error 4.925247925404648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 2.697848325003795 y[1] (numeric) 2.697848325003927 absolute error 1.318944953254686e-13 relative error 4.888877336174303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 2.690651096560742 y[1] (numeric) 2.6906510965608734 absolute error 1.3145040611561853e-13 relative error 4.885449707085462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 2.6833848035835737 y[1] (numeric) 2.6833848035837042 absolute error 1.305622276959184e-13 relative error 4.8655797529134386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 2.676050172695532 y[1] (numeric) 2.6760501726956623 absolute error 1.3011813848606835e-13 relative error 4.8623205877714515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 2.6686479373535947 y[1] (numeric) 2.6686479373537235 absolute error 1.2878587085651816e-13 relative error 4.825884638204867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 2.661178837775126 y[1] (numeric) 2.6611788377752545 absolute error 1.283417816466681e-13 relative error 4.822741704723912e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 2.6536436208638614 y[1] (numeric) 2.6536436208639884 absolute error 1.270095140171179e-13 relative error 4.786231015292532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 2.6460430401352077 y[1] (numeric) 2.646043040135337 absolute error 1.2922996006636822e-13 relative error 4.8838948613536085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 2.6383778556409077 y[1] (numeric) 2.6383778556410395 absolute error 1.318944953254686e-13 relative error 4.9990752857281366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 2.6306488338930234 y[1] (numeric) 2.6306488338931584 absolute error 1.3500311979441904e-13 relative error 5.131932398389781e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 2.6228567477872886 y[1] (numeric) 2.6228567477874267 absolute error 1.3811174426336947e-13 relative error 5.265699103844851e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 2.615002376525821 y[1] (numeric) 2.6150023765259616 absolute error 1.4077627952246985e-13 relative error 5.38340923840762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 2.6070865055392005 y[1] (numeric) 2.6070865055393435 absolute error 1.4299672557172016e-13 relative error 5.4849244652181355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 2.5991099264079303 y[1] (numeric) 2.5991099264080764 absolute error 1.461053500406706e-13 relative error 5.621360934225425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 2.591073436783276 y[1] (numeric) 2.5910734367834243 absolute error 1.4832579608992091e-13 relative error 5.724492173176768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 2.5829778403075023 y[1] (numeric) 2.5829778403076533 absolute error 1.509903313490213e-13 relative error 5.845591432989064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 2.5748239465335114 y[1] (numeric) 2.574823946533665 absolute error 1.5365486660812167e-13 relative error 5.967587291355877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 2.566612570843885 y[1] (numeric) 2.566612570844042 absolute error 1.567634910770721e-13 relative error 6.107797213255654e-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) 2.5583445343693505 y[1] (numeric) 2.55834453436951 absolute error 1.5942802633617248e-13 relative error 6.2316871005598385e-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) 2.550020663906664 y[1] (numeric) 2.5500206639068264 absolute error 1.6253665080512292e-13 relative error 6.3739346549496084e-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) 2.5416417918359357 y[1] (numeric) 2.541641791836101 absolute error 1.652011860642233e-13 relative error 6.499782408161123e-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) 2.533208756037391 y[1] (numeric) 2.533208756037559 absolute error 1.6786572132332367e-13 relative error 6.62660433820346e-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) 2.5247223998075814 y[1] (numeric) 2.524722399807752 absolute error 1.7053025658242404e-13 relative error 6.75441611305151e-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) 2.5161835717750582 y[1] (numeric) 2.516183571775232 absolute error 1.7363888105137448e-13 relative error 6.90088286876779e-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) 2.507593125815509 y[1] (numeric) 2.507593125815686 absolute error 1.7674750552032492e-13 relative error 7.04849218562297e-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) 2.498951920966371 y[1] (numeric) 2.4989519209665505 absolute error 1.794120407794253e-13 relative error 7.17949150098273e-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) 2.4902608213409287 y[1] (numeric) 2.4902608213411104 absolute error 1.816324868286756e-13 relative error 7.2937133842419e-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) 2.481520696041901 y[1] (numeric) 2.481520696042086 absolute error 1.8474111129762605e-13 relative error 7.444673404992896e-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) 2.4727324190745352 y[1] (numeric) 2.4727324190747235 absolute error 1.8829382497642655e-13 relative error 7.614807955925087e-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) 2.4638968692592043 y[1] (numeric) 2.4638968692593957 absolute error 1.91402449445377e-13 relative error 7.768281693662125e-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) 2.455014930143527 y[1] (numeric) 2.455014930143722 absolute error 1.949551631241775e-13 relative error 7.941098880110675e-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) 2.446087489914013 y[1] (numeric) 2.4460874899142113 absolute error 1.98507876802978e-13 relative error 8.115322024313862e-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) 2.4371154413072458 y[1] (numeric) 2.4371154413074474 absolute error 2.0161650127192843e-13 relative error 8.272751378727601e-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) 2.4280996815206097 y[1] (numeric) 2.4280996815208145 absolute error 2.0472512574087887e-13 relative error 8.431495926586865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 2.41904111212257 y[1] (numeric) 2.4190411121227773 absolute error 2.0738966099997924e-13 relative error 8.573217708483124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 2.4099406389625178 y[1] (numeric) 2.409940638962728 absolute error 2.1005419625907962e-13 relative error 8.716156442322505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 2.4007991720801853 y[1] (numeric) 2.4007991720803985 absolute error 2.1316282072803006e-13 relative error 8.87882765068325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 2.391617625614643 y[1] (numeric) 2.391617625614859 absolute error 2.162714451969805e-13 relative error 9.042893934242478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 2.382396917712886 y[1] (numeric) 2.3823969177131055 absolute error 2.1938006966593093e-13 relative error 9.208376154068272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 2.3731379704380213 y[1] (numeric) 2.373137970438244 absolute error 2.2248869413488137e-13 relative error 9.375295364466971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 2.363841709677059 y[1] (numeric) 2.3638417096772852 absolute error 2.2604140781368187e-13 relative error 9.562459571142898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 2.3545090650483305 y[1] (numeric) 2.354509065048559 absolute error 2.2870594307278225e-13 relative error 9.713529944217379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 2.34514096980852 y[1] (numeric) 2.3451409698087518 absolute error 2.318145675417327e-13 relative error 9.884888393752307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 2.3357383607593447 y[1] (numeric) 2.3357383607595805 absolute error 2.3581137043038325e-13 relative error 1.0095795590466792e-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) 2.326302178153875 y[1] (numeric) 2.326302178154114 absolute error 2.3936408410918375e-13 relative error 1.0289466534357982e-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) 2.3168333656025073 y[1] (numeric) 2.31683336560275 absolute error 2.4291679778798425e-13 relative error 1.0484862717988877e-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) 2.307332869978606 y[1] (numeric) 2.3073328699788522 absolute error 2.460254222569347e-13 relative error 1.0662762424011055e-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) 2.297801641323817 y[1] (numeric) 2.2978016413240665 absolute error 2.495781359357352e-13 relative error 1.0861604911725428e-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) 2.288240632753063 y[1] (numeric) 2.2882406327533156 absolute error 2.5268676040468563e-13 relative error 1.1042840372110222e-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) 2.278650800359233 y[1] (numeric) 2.2786508003594883 absolute error 2.55351295663786e-13 relative error 1.1206249576439244e-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) 2.2690331031175752 y[1] (numeric) 2.2690331031178346 absolute error 2.5934809855243657e-13 relative error 1.142989488324789e-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) 2.2593885027897995 y[1] (numeric) 2.2593885027900624 absolute error 2.6290081223123707e-13 relative error 1.1635927681610224e-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) 2.249717963827901 y[1] (numeric) 2.249717963828167 absolute error 2.660094367001875e-13 relative error 1.1824123778056684e-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) 2.2400224532777173 y[1] (numeric) 2.240022453277987 absolute error 2.69562150378988e-13 relative error 1.2033903945228347e-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) 2.2303029406822237 y[1] (numeric) 2.2303029406824963 absolute error 2.7267077484793845e-13 relative error 1.222572816787533e-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) 2.2205603979845807 y[1] (numeric) 2.2205603979848565 absolute error 2.757793993168889e-13 relative error 1.2419360426637846e-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) 2.2107957994309384 y[1] (numeric) 2.2107957994312177 absolute error 2.793321129956894e-13 relative error 1.263491241785378e-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) 2.2010101214730162 y[1] (numeric) 2.201010121473299 absolute error 2.828848266744899e-13 relative error 1.2852500036899897e-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) 2.191204342670454 y[1] (numeric) 2.19120434267074 absolute error 2.859934511434403e-13 relative error 1.3051884097440942e-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) 2.1813794435929617 y[1] (numeric) 2.1813794435932508 absolute error 2.8910207561239076e-13 relative error 1.3253176858410712e-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) 2.1715364067222587 y[1] (numeric) 2.171536406722551 absolute error 2.922107000813412e-13 relative error 1.3456403455947916e-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) 2.1616762163538303 y[1] (numeric) 2.161676216354126 absolute error 2.957634137601417e-13 relative error 1.3682132944915103e-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) 2.151799858498496 y[1] (numeric) 2.151799858498795 absolute error 2.993161274389422e-13 relative error 1.3910035650239422e-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) 2.1419083207838114 y[1] (numeric) 2.141908320784114 absolute error 3.0242475190789264e-13 relative error 1.4119406931349102e-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) 2.1320025923553048 y[1] (numeric) 2.1320025923556107 absolute error 3.0597746558669314e-13 relative error 1.435164603851012e-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) 2.122083663777565 y[1] (numeric) 2.1220836637778735 absolute error 3.086420008457935e-13 relative error 1.4544289940782709e-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) 2.1121525269351826 y[1] (numeric) 2.1121525269354944 absolute error 3.1175062531474396e-13 relative error 1.4759853814492578e-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) 2.1022101749335675 y[1] (numeric) 2.1022101749338824 absolute error 3.148592497836944e-13 relative error 1.4977534289293615e-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) 2.0922576019996337 y[1] (numeric) 2.0922576019999526 absolute error 3.1885605267234496e-13 relative error 1.5239808538279637e-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) 2.082295803382381 y[1] (numeric) 2.0822958033827033 absolute error 3.2240876635114546e-13 relative error 1.5483331706640343e-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) 2.0723257752533697 y[1] (numeric) 2.072325775253695 absolute error 3.255173908200959e-13 relative error 1.5707829083016496e-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) 2.062348514607104 y[1] (numeric) 2.0623485146074336 absolute error 3.2951419370874646e-13 relative error 1.5977619271179384e-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) 2.052365019161335 y[1] (numeric) 2.0523650191616674 absolute error 3.3217872896784684e-13 relative error 1.618516812879544e-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) 2.0423762872572873 y[1] (numeric) 2.042376287257623 absolute error 3.3573144264664734e-13 relative error 1.643827558816314e-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) 2.0323833177598267 y[1] (numeric) 2.032383317760166 absolute error 3.3928415632544784e-13 relative error 1.6693905788373636e-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) 2.0223871099575765 y[1] (numeric) 2.0223871099579185 absolute error 3.419486915845482e-13 relative error 1.6908172026062866e-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) 2.0123886634629864 y[1] (numeric) 2.012388663463332 absolute error 3.455014052633487e-13 relative error 1.716872150674901e-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) 2.002388978112374 y[1] (numeric) 2.002388978112722 absolute error 3.481659405224491e-13 relative error 1.7387527814433964e-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) 1.992389053865941 y[1] (numeric) 1.9923890538662925 absolute error 3.5149660959632456e-13 relative error 1.7641966508212667e-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) 1.9823898907077788 y[1] (numeric) 1.9823898907081339 absolute error 3.5504932327512506e-13 relative error 1.7910166155476142e-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) 1.972392488545871 y[1] (numeric) 1.9723924885462294 absolute error 3.5837999234900053e-13 relative error 1.8169811253601612e-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) 1.9623978471121024 y[1] (numeric) 1.9623978471124643 absolute error 3.6193270602780103e-13 relative error 1.8443390903655304e-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) 1.9524069658622876 y[1] (numeric) 1.9524069658626526 absolute error 3.6504133049675147e-13 relative error 1.8696989760817086e-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) 1.9424208438762258 y[1] (numeric) 1.9424208438765944 absolute error 3.6859404417555197e-13 relative error 1.8976013634614773e-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) 1.9324404797577939 y[1] (numeric) 1.9324404797581665 absolute error 3.7259084706420253e-13 relative error 1.9280844660783648e-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) 1.9224668715350868 y[1] (numeric) 1.9224668715354627 absolute error 3.75921516138078e-13 relative error 1.955412193074127e-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) 1.9125010165606156 y[1] (numeric) 1.9125010165609948 absolute error 3.7925218521195347e-13 relative error 1.9830169078497497e-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) 1.9025439114115725 y[1] (numeric) 1.902543911411955 absolute error 3.823608096809039e-13 relative error 2.0097344791228253e-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) 1.8925965517901755 y[1] (numeric) 1.8925965517905607 absolute error 3.852473895449293e-13 relative error 2.035549463410626e-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) 1.8826599324240967 y[1] (numeric) 1.8826599324244848 absolute error 3.8813396940895473e-13 relative error 2.0616254838397542e-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) 1.8727350469669923 y[1] (numeric) 1.8727350469673842 absolute error 3.9190872769268026e-13 relative error 2.0927078196534002e-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) 1.8628228878991375 y[1] (numeric) 1.8628228878995332 absolute error 3.956834859764058e-13 relative error 2.1241068517396812e-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) 1.852924446428179 y[1] (numeric) 1.852924446428578 absolute error 3.9879211044535623e-13 relative error 2.1522308220073113e-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) 1.8430407123900152 y[1] (numeric) 1.8430407123904171 absolute error 4.0190073491430667e-13 relative error 2.1806394845891958e-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) 1.8331726741498133 y[1] (numeric) 1.833172674150219 absolute error 4.056754931980322e-13 relative error 2.212969344997333e-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) 1.8233213185031742 y[1] (numeric) 1.8233213185035833 absolute error 4.0900616227190767e-13 relative error 2.2431930023594228e-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) 1.813487630577453 y[1] (numeric) 1.8134876305778656 absolute error 4.1255887595070817e-13 relative error 2.2749472838661748e-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) 1.8036725937332476 y[1] (numeric) 1.803672593733663 absolute error 4.154454558147336e-13 relative error 2.303330755582659e-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) 1.7938771894660634 y[1] (numeric) 1.793877189466482 absolute error 4.18554080283684e-13 relative error 2.3332370952788806e-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) 1.784102397308164 y[1] (numeric) 1.7841023973085859 absolute error 4.218847493575595e-13 relative error 2.3646891007718783e-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) 1.7743491947306198 y[1] (numeric) 1.7743491947310446 absolute error 4.247713292215849e-13 relative error 2.3939556569983583e-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) 1.7646185570455608 y[1] (numeric) 1.7646185570459887 absolute error 4.2787995369053533e-13 relative error 2.4247730592095768e-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) 1.7549114573086468 y[1] (numeric) 1.754911457309078 absolute error 4.312106227644108e-13 relative error 2.4571645536220987e-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) 1.7452288662217623 y[1] (numeric) 1.7452288662221966 absolute error 4.3431924723336124e-13 relative error 2.488609119637225e-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) 1.7355717520359468 y[1] (numeric) 1.7355717520363845 absolute error 4.376499163072367e-13 relative error 2.5216469200644847e-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) 1.7259410804545716 y[1] (numeric) 1.7259410804550124 absolute error 4.4075854077618715e-13 relative error 2.5537287788532263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) ; Iterations 5000 Total Elapsed Time 2 Seconds Elapsed Time(since restart) 2 Seconds Time to Timeout 2 Minutes 58.0 Seconds Percent Done 100.0200000000001%