##############ECHO OF PROBLEM################# ##############temp/mult_div_sinh_cosh_tanhpostode.ode################# diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return((sinh(c(0.1)) * cosh(c(0.05)) / tanh(c(0.02))) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.5015267822632983 y[1] (numeric) 0.5015267822632983 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] 0.11000000000000001 y[1] (closed_form) 0.5516794604896281 y[1] (numeric) 0.5516794604896278 absolute error 3.3306690738754696e-16 relative error 6.037326586201749e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.6018321387159581 y[1] (numeric) 0.6018321387159573 absolute error 7.771561172376096e-16 relative error 1.2913170753820405e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.6519848169422879 y[1] (numeric) 0.6519848169422868 absolute error 1.1102230246251565e-15 relative error 1.702835703800493e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.7021374951686178 y[1] (numeric) 0.7021374951686163 absolute error 1.4432899320127035e-15 relative error 2.0555659567305953e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.7522901733949476 y[1] (numeric) 0.7522901733949459 absolute error 1.7763568394002505e-15 relative error 2.361265509270017e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.8024428516212775 y[1] (numeric) 0.8024428516212754 absolute error 2.1094237467877974e-15 relative error 2.628752617742011e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.8525955298476074 y[1] (numeric) 0.8525955298476049 absolute error 2.55351295663786e-15 relative error 2.994987502566749e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.9027482080739373 y[1] (numeric) 0.9027482080739344 absolute error 2.886579864025407e-15 relative error 3.1975470438031475e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.9529008863002671 y[1] (numeric) 0.9529008863002639 absolute error 3.219646771412954e-15 relative error 3.3787845280672937e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 1.003053564526597 y[1] (numeric) 1.0030535645265934 absolute error 3.552713678800501e-15 relative error 3.541898263905025e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 1.053206242752927 y[1] (numeric) 1.053206242752923 absolute error 3.9968028886505635e-15 relative error 3.794890997041098e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 1.1033589209792567 y[1] (numeric) 1.1033589209792525 absolute error 4.218847493575595e-15 relative error 3.8236401712611066e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 1.1535115992055867 y[1] (numeric) 1.153511599205582 absolute error 4.6629367034256575e-15 relative error 4.042383888152474e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 1.2036642774319166 y[1] (numeric) 1.2036642774319115 absolute error 5.10702591327572e-15 relative error 4.2428989619695605e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 1.2538169556582464 y[1] (numeric) 1.253816955658241 absolute error 5.329070518200751e-15 relative error 4.25027791668603e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 1.303969633884576 y[1] (numeric) 1.3039696338845705 absolute error 5.551115123125783e-15 relative error 4.257089259501232e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 1.354122312110906 y[1] (numeric) 1.3541223121109 absolute error 5.995204332975845e-15 relative error 4.427372829881281e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 1.4042749903372358 y[1] (numeric) 1.4042749903372296 absolute error 6.217248937900877e-15 relative error 4.4273728298812814e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 1.4544276685635658 y[1] (numeric) 1.454427668563559 absolute error 6.661338147750939e-15 relative error 4.580040858497877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 1.5045803467898957 y[1] (numeric) 1.5045803467898886 absolute error 7.105427357601002e-15 relative error 4.722531018540033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 1.5547330250162255 y[1] (numeric) 1.5547330250162181 absolute error 7.327471962526033e-15 relative error 4.713009786647816e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 1.6048857032425554 y[1] (numeric) 1.6048857032425476 absolute error 7.771561172376096e-15 relative error 4.842439032682651e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 1.6550383814688852 y[1] (numeric) 1.6550383814688772 absolute error 7.993605777301127e-15 relative error 4.829861268961397e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 1.7051910596952151 y[1] (numeric) 1.7051910596952067 absolute error 8.43769498715119e-15 relative error 4.94824022163202e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 1.755343737921545 y[1] (numeric) 1.7553437379215362 absolute error 8.881784197001252e-15 relative error 5.059854662721463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 1.8054964161478748 y[1] (numeric) 1.8054964161478657 absolute error 9.103828801926284e-15 relative error 5.042285722920348e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 1.8556490943742048 y[1] (numeric) 1.8556490943741952 absolute error 9.547918011776346e-15 relative error 5.145325180672839e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 1.9058017726005345 y[1] (numeric) 1.9058017726005247 absolute error 9.769962616701378e-15 relative error 5.126431697757272e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 1.9559544508268645 y[1] (numeric) 1.9559544508268543 absolute error 1.021405182655144e-14 relative error 5.222029491654843e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 2.0061071290531944 y[1] (numeric) 2.0061071290531842 absolute error 1.021405182655144e-14 relative error 5.091478754363473e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 2.0562598072795244 y[1] (numeric) 2.056259807279516 absolute error 8.43769498715119e-15 relative error 4.103418720377772e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 2.106412485505854 y[1] (numeric) 2.1064124855058477 absolute error 6.217248937900877e-15 relative error 2.9515818865875204e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 2.156565163732184 y[1] (numeric) 2.1565651637321794 absolute error 4.440892098500626e-15 relative error 2.0592431766889676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 2.206717841958514 y[1] (numeric) 2.206717841958511 absolute error 2.6645352591003757e-15 relative error 1.2074653172403493e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 2.256870520184844 y[1] (numeric) 2.256870520184843 absolute error 8.881784197001252e-16 relative error 3.9354425154500266e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 2.3070231984111738 y[1] (numeric) 2.3070231984111746 absolute error 8.881784197001252e-16 relative error 3.8498894172880695e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 2.3571758766375033 y[1] (numeric) 2.3571758766375064 absolute error 3.1086244689504383e-15 relative error 1.3187919067731473e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 2.4073285548638332 y[1] (numeric) 2.407328554863838 absolute error 4.884981308350689e-15 relative error 2.0292125470289203e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 2.457481233090163 y[1] (numeric) 2.45748123309017 absolute error 6.661338147750939e-15 relative error 2.710636426457927e-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) 2.507633911316493 y[1] (numeric) 2.5076339113165016 absolute error 8.43769498715119e-15 relative error 3.364803350709773e-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) 2.557786589542823 y[1] (numeric) 2.5577865895428333 absolute error 1.021405182655144e-14 relative error 3.9933166700889975e-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) 2.6079392677691526 y[1] (numeric) 2.607939267769165 absolute error 1.2434497875801753e-14 relative error 4.767939970641379e-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) 2.6580919459954826 y[1] (numeric) 2.658091945995497 absolute error 1.4210854715202004e-14 relative error 5.346261530422678e-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) 2.7082446242218126 y[1] (numeric) 2.7082446242218285 absolute error 1.5987211554602254e-14 relative error 5.90316377317504e-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) 2.7583973024481425 y[1] (numeric) 2.7583973024481603 absolute error 1.7763568394002505e-14 relative error 6.439815025281862e-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) 2.8085499806744725 y[1] (numeric) 2.808549980674492 absolute error 1.9539925233402755e-14 relative error 6.957300161242011e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 2.858702658900802 y[1] (numeric) 2.8587026589008238 absolute error 2.1760371282653068e-14 relative error 7.611974339094131e-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) 2.908855337127132 y[1] (numeric) 2.9088553371271555 absolute error 2.353672812205332e-14 relative error 8.091405516679581e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 2.959008015353462 y[1] (numeric) 2.9590080153534872 absolute error 2.531308496145357e-14 relative error 8.554584789940101e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 3.009160693579792 y[1] (numeric) 3.009160693579819 absolute error 2.708944180085382e-14 relative error 9.002324754091936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 3.059313371806122 y[1] (numeric) 3.0593133718061507 absolute error 2.886579864025407e-14 relative error 9.43538471941912e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 3.1094660500324514 y[1] (numeric) 3.1094660500324824 absolute error 3.108624468950438e-14 relative error 9.997293486828698e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 3.1596187282587813 y[1] (numeric) 3.159618728258814 absolute error 3.2862601528904634e-14 relative error 1.0400812362260785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 3.2097714064851113 y[1] (numeric) 3.209771406485146 absolute error 3.4638958368304884e-14 relative error 1.079172127283562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 3.2599240847114412 y[1] (numeric) 3.2599240847114777 absolute error 3.6415315207705135e-14 relative error 1.117060221693123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 3.310076762937771 y[1] (numeric) 3.3100767629378094 absolute error 3.8191672047105385e-14 relative error 1.1538001920296668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 3.3602294411641007 y[1] (numeric) 3.360229441164141 absolute error 4.04121180963557e-14 relative error 1.2026594851319299e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 3.4103821193904307 y[1] (numeric) 3.410382119390473 absolute error 4.218847493575595e-14 relative error 1.2370600554080047e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 3.4605347976167606 y[1] (numeric) 3.4605347976168046 absolute error 4.39648317751562e-14 relative error 1.270463507705063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 3.5106874758430906 y[1] (numeric) 3.5106874758431363 absolute error 4.574118861455645e-14 relative error 1.3029125756507767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 3.5608401540694206 y[1] (numeric) 3.560840154069468 absolute error 4.75175454539567e-14 relative error 1.3344475853444984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 3.61099283229575 y[1] (numeric) 3.6109928322958 absolute error 4.973799150320701e-14 relative error 1.3774048804075094e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 3.66114551052208 y[1] (numeric) 3.6611455105221316 absolute error 5.1514348342607263e-14 relative error 1.407055474701996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 3.71129818874841 y[1] (numeric) 3.7112981887484633 absolute error 5.3290705182007514e-14 relative error 1.435904701583118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 3.76145086697474 y[1] (numeric) 3.761450866974795 absolute error 5.5067062021407764e-14 relative error 1.46398461574741e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 3.81160354520107 y[1] (numeric) 3.8116035452011268 absolute error 5.684341886080802e-14 relative error 1.4913255848021152e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 3.8617562234273994 y[1] (numeric) 3.8617562234274585 absolute error 5.906386491005833e-14 relative error 1.5294560685044422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 3.9119089016537294 y[1] (numeric) 3.9119089016537902 absolute error 6.084022174945858e-14 relative error 1.5552566094711163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 3.9620615798800594 y[1] (numeric) 3.962061579880122 absolute error 6.261657858885883e-14 relative error 1.5804039721854696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 4.012214258106389 y[1] (numeric) 4.012214258106453 absolute error 6.394884621840902e-14 relative error 1.593854218757261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 4.062366936332719 y[1] (numeric) 4.06236693633278 absolute error 6.128431095930864e-14 relative error 1.5085862975891769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 4.112519614559049 y[1] (numeric) 4.112519614559107 absolute error 5.861977570020827e-14 relative error 1.4253980818154366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 4.162672292785379 y[1] (numeric) 4.162672292785435 absolute error 5.595524044110789e-14 relative error 1.3442144013615452e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 4.212824971011709 y[1] (numeric) 4.212824971011762 absolute error 5.3290705182007514e-14 relative error 1.2649636656803657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 4.262977649238039 y[1] (numeric) 4.262977649238089 absolute error 5.062616992290714e-14 relative error 1.1875776531916844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 4.313130327464369 y[1] (numeric) 4.313130327464417 absolute error 4.796163466380676e-14 relative error 1.1119913154120424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 4.363283005690699 y[1] (numeric) 4.363283005690744 absolute error 4.529709940470639e-14 relative error 1.0381425945928517e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 4.413435683917029 y[1] (numeric) 4.413435683917071 absolute error 4.263256414560601e-14 relative error 9.659722537922793e-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) 4.463588362143358 y[1] (numeric) 4.4635883621433985 absolute error 4.085620730620576e-14 relative error 9.153220232563545e-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) 4.513741040369688 y[1] (numeric) 4.513741040369726 absolute error 3.8191672047105385e-14 relative error 8.461201408217558e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 4.563893718596018 y[1] (numeric) 4.563893718596053 absolute error 3.552713678800501e-14 relative error 7.784391788802251e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 4.6140463968223475 y[1] (numeric) 4.61404639682238 absolute error 3.2862601528904634e-14 relative error 7.122295421982929e-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) 4.6641990750486775 y[1] (numeric) 4.664199075048708 absolute error 3.019806626980426e-14 relative error 6.474437686708109e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 4.714351753275007 y[1] (numeric) 4.714351753275035 absolute error 2.7533531010703882e-14 relative error 5.840364158566795e-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) 4.764504431501337 y[1] (numeric) 4.764504431501362 absolute error 2.4868995751603507e-14 relative error 5.219639546807403e-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) 4.814657109727667 y[1] (numeric) 4.81465710972769 absolute error 2.220446049250313e-14 relative error 4.611846697793e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 4.864809787953997 y[1] (numeric) 4.864809787954017 absolute error 1.9539925233402755e-14 relative error 4.0165856600984806e-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) 4.914962466180327 y[1] (numeric) 4.914962466180344 absolute error 1.687538997430238e-14 relative error 3.4334728068467066e-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) 4.965115144406656 y[1] (numeric) 4.9651151444066715 absolute error 1.509903313490213e-14 relative error 3.041023761938657e-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) 5.015267822632986 y[1] (numeric) 5.015267822632999 absolute error 1.2434497875801753e-14 relative error 2.4793287847335167e-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) 5.06542050085931 y[1] (numeric) 5.065420500859326 absolute error 1.5987211554602254e-14 relative error 3.1561469678361637e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 5.115573179085635 y[1] (numeric) 5.115573179085653 absolute error 1.865174681370263e-14 relative error 3.64607174225518e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 5.165725857311959 y[1] (numeric) 5.165725857311981 absolute error 2.1316282072803006e-14 relative error 4.126483414258294e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 5.215878535538283 y[1] (numeric) 5.215878535538308 absolute error 2.4868995751603507e-14 relative error 4.767939970641399e-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) 5.266031213764608 y[1] (numeric) 5.266031213764635 absolute error 2.7533531010703882e-14 relative error 5.228516484812206e-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) 5.316183891990932 y[1] (numeric) 5.3161838919909625 absolute error 3.019806626980426e-14 relative error 5.680402876074131e-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) 5.366336570217256 y[1] (numeric) 5.36633657021729 absolute error 3.375077994860476e-14 relative error 6.289352057401491e-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) 5.416489248443581 y[1] (numeric) 5.416489248443617 absolute error 3.6415315207705135e-14 relative error 6.723047630560518e-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) 5.4666419266699044 y[1] (numeric) 5.466641926669944 absolute error 3.9968028886505635e-14 relative error 7.311257884207687e-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) 5.516794604896229 y[1] (numeric) 5.516794604896272 absolute error 4.263256414560601e-14 relative error 7.727778030338313e-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) 5.566947283122554 y[1] (numeric) 5.566947283122599 absolute error 4.529709940470639e-14 relative error 8.136793308971091e-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) 5.6170999613488775 y[1] (numeric) 5.617099961348926 absolute error 4.884981308350689e-14 relative error 8.696625201552618e-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) 5.667252639575202 y[1] (numeric) 5.667252639575254 absolute error 5.1514348342607263e-14 relative error 9.089827402942214e-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) 5.717405317801527 y[1] (numeric) 5.717405317801581 absolute error 5.417888360170764e-14 relative error 9.476131320096903e-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) 5.7675579960278505 y[1] (numeric) 5.767557996027908 absolute error 5.773159728050814e-14 relative error 1.0009712484949126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 5.817710674254175 y[1] (numeric) 5.8177106742542355 absolute error 6.039613253960852e-14 relative error 1.0381425945928677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 5.867863352480499 y[1] (numeric) 5.867863352480563 absolute error 6.394884621840902e-14 relative error 1.0898148504323329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 5.9180160307068235 y[1] (numeric) 5.91801603070689 absolute error 6.661338147750939e-14 relative error 1.1256032618342428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 5.968168708933148 y[1] (numeric) 5.968168708933217 absolute error 6.927791673660977e-14 relative error 1.1607901873302386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 6.018321387159472 y[1] (numeric) 6.018321387159545 absolute error 7.283063041541027e-14 relative error 1.2101485735009056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 6.0684740653857965 y[1] (numeric) 6.068474065385872 absolute error 7.549516567451064e-14 relative error 1.2440551753385656e-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) 6.118626743612121 y[1] (numeric) 6.118626743612199 absolute error 7.815970093361102e-14 relative error 1.2774059312444605e-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) 6.168779421838445 y[1] (numeric) 6.168779421838527 absolute error 8.171241461241152e-14 relative error 1.324612358858817e-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) 6.2189321000647695 y[1] (numeric) 6.218932100064854 absolute error 8.43769498715119e-14 relative error 1.3567755446410666e-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) 6.269084778291094 y[1] (numeric) 6.269084778291181 absolute error 8.704148513061227e-14 relative error 1.3884241194508001e-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) 6.319237456517418 y[1] (numeric) 6.3192374565175085 absolute error 9.059419880941277e-14 relative error 1.4336254877711141e-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) 6.3693901347437425 y[1] (numeric) 6.369390134743836 absolute error 9.325873406851315e-14 relative error 1.4641705421654973e-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) 6.419542812970066 y[1] (numeric) 6.419542812970163 absolute error 9.681144774731365e-14 relative error 1.5080738701783477e-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) 6.469695491196391 y[1] (numeric) 6.46969549119649 absolute error 9.947598300641403e-14 relative error 1.5375682385944675e-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) 6.5198481694227155 y[1] (numeric) 6.519848169422818 absolute error 1.021405182655144e-13 relative error 1.5666088474964931e-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) 6.570000847649039 y[1] (numeric) 6.570000847649145 absolute error 1.056932319443149e-13 relative error 1.6087247839874387e-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) 6.620153525875364 y[1] (numeric) 6.620153525875472 absolute error 1.0835776720341528e-13 relative error 1.6367863189258506e-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) 6.6703062041016885 y[1] (numeric) 6.6703062041017995 absolute error 1.1102230246251565e-13 relative error 1.664425875895264e-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) 6.720458882328012 y[1] (numeric) 6.720458882328127 absolute error 1.1457501614131615e-13 relative error 1.7048689404617947e-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) 6.770611560554337 y[1] (numeric) 6.770611560554454 absolute error 1.1723955140041653e-13 relative error 1.7315947067980617e-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) 6.820764238780661 y[1] (numeric) 6.820764238780781 absolute error 1.2079226507921703e-13 relative error 1.7709491319525643e-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) 6.870916917006985 y[1] (numeric) 6.870916917007109 absolute error 1.234568003383174e-13 relative error 1.7968024039518727e-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) 6.92106959523331 y[1] (numeric) 6.921069595233436 absolute error 1.2612133559741778e-13 relative error 1.8222809908497418e-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) 6.971222273459634 y[1] (numeric) 6.971222273459763 absolute error 1.2967404927621828e-13 relative error 1.860133620612049e-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) 7.021374951685958 y[1] (numeric) 7.021374951686091 absolute error 1.3233858453531866e-13 relative error 1.8847958618638046e-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) 7.071527629912283 y[1] (numeric) 7.071527629912418 absolute error 1.3500311979441904e-13 relative error 1.909108284090713e-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) 7.121680308138607 y[1] (numeric) 7.121680308138745 absolute error 1.3855583347321954e-13 relative error 1.9455497505957815e-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) 7.171832986364931 y[1] (numeric) 7.1718329863650725 absolute error 1.412203687323199e-13 relative error 1.9690972865766352e-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) 7.221985664591256 y[1] (numeric) 7.2219856645914 absolute error 1.438849039914203e-13 relative error 1.9923177734466433e-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) 7.27213834281758 y[1] (numeric) 7.272138342817727 absolute error 1.474376176702208e-13 relative error 2.0274314200284628e-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) 7.322291021043904 y[1] (numeric) 7.322291021044054 absolute error 1.5010215292932116e-13 relative error 2.0499342691779793e-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) 7.372443699270228 y[1] (numeric) 7.372443699270382 absolute error 1.5365486660812167e-13 relative error 2.0841782301210577e-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) 7.422596377496553 y[1] (numeric) 7.422596377496709 absolute error 1.5631940186722204e-13 relative error 2.105993562321982e-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) 7.472749055722877 y[1] (numeric) 7.472749055723036 absolute error 1.5898393712632242e-13 relative error 2.1275160712718872e-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) 7.522901733949201 y[1] (numeric) 7.522901733949364 absolute error 1.6253665080512292e-13 relative error 2.1605579409821447e-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) 7.573054412175526 y[1] (numeric) 7.573054412175691 absolute error 1.652011860642233e-13 relative error 2.181434030087282e-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) 7.62320709040185 y[1] (numeric) 7.623207090402018 absolute error 1.6786572132332367e-13 relative error 2.202035433809457e-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) 7.673359768628174 y[1] (numeric) 7.6733597686283455 absolute error 1.7141843500212417e-13 relative error 2.233942369064366e-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) 7.723512446854499 y[1] (numeric) 7.723512446854673 absolute error 1.7408297026122455e-13 relative error 2.2539352588487392e-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) 7.773665125080822 y[1] (numeric) 7.773665125081 absolute error 1.7763568394002505e-13 relative error 2.2850956541323637e-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) 7.823817803307147 y[1] (numeric) 7.823817803307327 absolute error 1.8030021919912542e-13 relative error 2.304504319143425e-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) 7.873970481533472 y[1] (numeric) 7.873970481533655 absolute error 1.829647544582258e-13 relative error 2.3236657400142178e-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) 7.924123159759795 y[1] (numeric) 7.924123159759982 absolute error 1.865174681370263e-13 relative error 2.3537931500635612e-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) 7.97427583798612 y[1] (numeric) 7.974275837986309 absolute error 1.8918200339612667e-13 relative error 2.372403554125161e-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) 8.024428516212444 y[1] (numeric) 8.024428516212641 absolute error 1.971756091734278e-13 relative error 2.457191920584213e-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) 8.07458119443877 y[1] (numeric) 8.074581194438977 absolute error 2.078337502098293e-13 relative error 2.5739260675584173e-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) 8.124733872665093 y[1] (numeric) 8.124733872665313 absolute error 2.2026824808563106e-13 relative error 2.711082621754578e-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) 8.174886550891417 y[1] (numeric) 8.17488655089165 absolute error 2.327027459614328e-13 relative error 2.846556273445264e-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) 8.225039229117742 y[1] (numeric) 8.225039229117986 absolute error 2.433608869978343e-13 relative error 2.9587808667988368e-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) 8.275191907344066 y[1] (numeric) 8.275191907344322 absolute error 2.5579538487363607e-13 relative error 3.0911112121354287e-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) 8.32534458557039 y[1] (numeric) 8.325344585570658 absolute error 2.682298827494378e-13 relative error 3.221847215961941e-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) 8.375497263796715 y[1] (numeric) 8.375497263796994 absolute error 2.788880237858393e-13 relative error 3.3298085475036734e-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) 8.425649942023039 y[1] (numeric) 8.42564994202333 absolute error 2.913225216616411e-13 relative error 3.4575673528598213e-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) 8.475802620249363 y[1] (numeric) 8.475802620249667 absolute error 3.0375701953744283e-13 relative error 3.583814219691045e-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) 8.525955298475687 y[1] (numeric) 8.525955298476003 absolute error 3.161915174132446e-13 relative error 3.70857582926543e-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) 8.576107976702012 y[1] (numeric) 8.576107976702339 absolute error 3.268496584496461e-13 relative error 3.811165383383359e-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) 8.626260654928336 y[1] (numeric) 8.626260654928675 absolute error 3.3928415632544784e-13 relative error 3.93315446747611e-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) 8.67641333315466 y[1] (numeric) 8.676413333155011 absolute error 3.517186542012496e-13 relative error 4.053733273140045e-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) 8.726566011380985 y[1] (numeric) 8.726566011381347 absolute error 3.623767952376511e-13 relative error 4.152570378371603e-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) 8.776718689607309 y[1] (numeric) 8.776718689607684 absolute error 3.7481129311345285e-13 relative error 4.270517335337118e-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) 8.826871367833633 y[1] (numeric) 8.82687136783402 absolute error 3.872457909892546e-13 relative error 4.387123985973479e-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) 8.877024046059958 y[1] (numeric) 8.877024046060356 absolute error 3.979039320256561e-13 relative error 4.4824023226822804e-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) 8.927176724286282 y[1] (numeric) 8.927176724286692 absolute error 4.1033842990145786e-13 relative error 4.596508421135395e-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) 8.977329402512606 y[1] (numeric) 8.977329402513028 absolute error 4.227729277772596e-13 relative error 4.709339591114174e-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) 9.027482080738931 y[1] (numeric) 9.027482080739365 absolute error 4.334310688136611e-13 relative error 4.801239868849269e-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) 9.077634758965255 y[1] (numeric) 9.0776347589657 absolute error 4.4586556668946287e-13 relative error 4.911693172597819e-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) 9.127787437191579 y[1] (numeric) 9.127787437192037 absolute error 4.583000645652646e-13 relative error 5.020932703777703e-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) 9.177940115417904 y[1] (numeric) 9.177940115418373 absolute error 4.689582056016661e-13 relative error 5.1096237249779964e-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) 9.228092793644228 y[1] (numeric) 9.22809279364471 absolute error 4.813927034774679e-13 relative error 5.216600160425598e-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) 9.278245471870552 y[1] (numeric) 9.278245471871045 absolute error 4.938272013532696e-13 relative error 5.322420093868362e-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) 9.328398150096877 y[1] (numeric) 9.328398150097382 absolute error 5.044853423896711e-13 relative error 5.408059714779991e-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) 9.3785508283232 y[1] (numeric) 9.378550828323718 absolute error 5.169198402654729e-13 relative error 5.511724036344466e-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) 9.428703506549525 y[1] (numeric) 9.428703506550054 absolute error 5.293543381412746e-13 relative error 5.614285545977404e-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) 9.478856184775848 y[1] (numeric) 9.47885618477639 absolute error 5.417888360170764e-13 relative error 5.7157617486301e-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) 9.529008863002174 y[1] (numeric) 9.529008863002726 absolute error 5.524469770534779e-13 relative error 5.797528210918528e-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) 9.579161541228498 y[1] (numeric) 9.579161541229062 absolute error 5.648814749292796e-13 relative error 5.896982449852655e-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) 9.629314219454821 y[1] (numeric) 9.629314219455399 absolute error 5.773159728050814e-13 relative error 5.995400707131219e-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) 9.679466897681147 y[1] (numeric) 9.679466897681735 absolute error 5.879741138414829e-13 relative error 6.074447281619821e-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) 9.72961957590747 y[1] (numeric) 9.729619575908071 absolute error 6.004086117172847e-13 relative error 6.17093615051527e-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) 9.779772254133794 y[1] (numeric) 9.779772254134407 absolute error 6.128431095930864e-13 relative error 6.266435389986151e-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) 9.82992493236012 y[1] (numeric) 9.829924932360743 absolute error 6.235012506294879e-13 relative error 6.3428892379118925e-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) 9.880077610586444 y[1] (numeric) 9.88007761058708 absolute error 6.359357485052897e-13 relative error 6.436546083645015e-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) 9.930230288812767 y[1] (numeric) 9.930230288813416 absolute error 6.483702463810914e-13 relative error 6.529256900633358e-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) 9.980382967039093 y[1] (numeric) 9.980382967039752 absolute error 6.590283874174929e-13 relative error 6.603237466878575e-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) 10.030535645265417 y[1] (numeric) 10.030535645266088 absolute error 6.714628852932947e-13 relative error 6.6941877187808665e-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) 10.080688323491742 y[1] (numeric) 10.080688323492424 absolute error 6.821210263296962e-13 relative error 6.7666116086547505e-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) 10.130841001718066 y[1] (numeric) 10.13084100171876 absolute error 6.945555242054979e-13 relative error 6.855852580133376e-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) 10.180993679944391 y[1] (numeric) 10.180993679945097 absolute error 7.052136652418994e-13 relative error 6.926766555519081e-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) 10.231146358170715 y[1] (numeric) 10.231146358171433 absolute error 7.176481631177012e-13 relative error 7.0143475422436785e-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) 10.281299036397039 y[1] (numeric) 10.281299036397769 absolute error 7.300826609935029e-13 relative error 7.101074080317305e-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) 10.331451714623363 y[1] (numeric) 10.331451714624105 absolute error 7.425171588693047e-13 relative error 7.186958613166915e-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) 10.381604392849688 y[1] (numeric) 10.381604392850441 absolute error 7.531752999057062e-13 relative error 7.254902724134377e-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) 10.431757071076012 y[1] (numeric) 10.431757071076778 absolute error 7.65609797781508e-13 relative error 7.339221883380545e-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) 10.481909749302336 y[1] (numeric) 10.481909749303114 absolute error 7.780442956573097e-13 relative error 7.42273416072005e-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) 10.532062427528661 y[1] (numeric) 10.53206242752945 absolute error 7.887024366937112e-13 relative error 7.488584900828199e-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) 10.582215105754985 y[1] (numeric) 10.582215105755786 absolute error 8.01136934569513e-13 relative error 7.570597711001226e-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) 10.632367783981309 y[1] (numeric) 10.632367783982122 absolute error 8.135714324453147e-13 relative error 7.651836815417906e-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) 10.682520462207634 y[1] (numeric) 10.682520462208458 absolute error 8.242295734817162e-13 relative error 7.715684480995435e-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) 10.732673140433958 y[1] (numeric) 10.732673140434795 absolute error 8.36664071357518e-13 relative error 7.795486365884881e-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) 10.782825818660282 y[1] (numeric) 10.78282581866113 absolute error 8.490985692333197e-13 relative error 7.874545907659078e-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) 10.832978496886607 y[1] (numeric) 10.832978496887467 absolute error 8.597567102697212e-13 relative error 7.936475739491359e-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) 10.883131175112931 y[1] (numeric) 10.883131175113803 absolute error 8.72191208145523e-13 relative error 8.014156901278667e-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) 10.933283853339255 y[1] (numeric) 10.93328385334014 absolute error 8.846257060213247e-13 relative error 8.091125391856916e-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) 10.98343653156558 y[1] (numeric) 10.983436531566475 absolute error 8.952838470577262e-13 relative error 8.151217922412052e-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) 11.033589209791904 y[1] (numeric) 11.033589209792812 absolute error 9.07718344933528e-13 relative error 8.226863694798075e-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) 11.083741888018228 y[1] (numeric) 11.083741888019148 absolute error 9.201528428093297e-13 relative error 8.301824890058433e-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) 11.133894566244553 y[1] (numeric) 11.133894566245484 absolute error 9.308109838457312e-13 relative error 8.360156262551106e-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) 11.184047244470877 y[1] (numeric) 11.18404724447182 absolute error 9.43245481721533e-13 relative error 8.433847435577052e-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) 11.2341999226972 y[1] (numeric) 11.234199922698156 absolute error 9.556799795973347e-13 relative error 8.506880651700981e-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) 11.284352600923524 y[1] (numeric) 11.284352600924493 absolute error 9.681144774731365e-13 relative error 8.579264683681586e-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) 11.33450527914985 y[1] (numeric) 11.334505279150829 absolute error 9.78772618509538e-13 relative error 8.635336032795525e-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) 11.384657957376174 y[1] (numeric) 11.384657957377165 absolute error 9.912071163853398e-13 relative error 8.706516437264871e-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) 11.434810635602497 y[1] (numeric) 11.434810635603501 absolute error 1.0036416142611415e-12 relative error 8.77707245222133e-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) 11.484963313828823 y[1] (numeric) 11.484963313829837 absolute error 1.014299755297543e-12 relative error 8.8315454527943e-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) 11.535115992055147 y[1] (numeric) 11.535115992056173 absolute error 1.0267342531733448e-12 relative error 8.900944332770575e-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) 11.58526867028147 y[1] (numeric) 11.58526867028251 absolute error 1.0391687510491465e-12 relative error 8.969742356643158e-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) 11.635421348507796 y[1] (numeric) 11.635421348508846 absolute error 1.049826892085548e-12 relative error 9.022680491241383e-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) 11.68557402673412 y[1] (numeric) 11.685574026735182 absolute error 1.0622613899613498e-12 relative error 9.090365501353383e-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) 11.735726704960443 y[1] (numeric) 11.735726704961518 absolute error 1.0746958878371515e-12 relative error 9.157472007105451e-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) 11.785879383186769 y[1] (numeric) 11.785879383187854 absolute error 1.085354028873553e-12 relative error 9.208935486153648e-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) 11.836032061413093 y[1] (numeric) 11.83603206141419 absolute error 1.0977885267493548e-12 relative error 9.274970877514595e-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) 11.886184739639416 y[1] (numeric) 11.886184739640527 absolute error 1.1102230246251565e-12 relative error 9.340449008188953e-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) 11.936337417865742 y[1] (numeric) 11.936337417866863 absolute error 1.120881165661558e-12 relative error 9.390494976992494e-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) 11.986490096092066 y[1] (numeric) 11.986490096093199 absolute error 1.1333156635373598e-12 relative error 9.454941809085986e-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) 12.03664277431839 y[1] (numeric) 12.036642774319535 absolute error 1.1457501614131615e-12 relative error 9.518851584245367e-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) 12.086795452544713 y[1] (numeric) 12.086795452545871 absolute error 1.1581846592889633e-12 relative error 9.582230987826662e-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) 12.136948130771039 y[1] (numeric) 12.136948130772208 absolute error 1.1688428003253648e-12 relative error 9.630450651444865e-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) 12.187100808997362 y[1] (numeric) 12.187100808998544 absolute error 1.1812772982011666e-12 relative error 9.692849158423845e-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) 12.237253487223686 y[1] (numeric) 12.23725348722488 absolute error 1.1937117960769683e-12 relative error 9.754736202230868e-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) 12.287406165450012 y[1] (numeric) 12.287406165451216 absolute error 1.2043699371133698e-12 relative error 9.801661318072504e-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) 12.337558843676335 y[1] (numeric) 12.337558843677552 absolute error 1.2168044349891716e-12 relative error 9.862602889329679e-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) 12.38771152190266 y[1] (numeric) 12.387711521903888 absolute error 1.2292389328649733e-12 relative error 9.923051006568577e-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) 12.437864200128985 y[1] (numeric) 12.437864200130225 absolute error 1.2398970739013748e-12 relative error 9.968729791152702e-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) 12.488016878355308 y[1] (numeric) 12.48801687835656 absolute error 1.2523315717771766e-12 relative error 1.0028266168888384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 12.538169556581632 y[1] (numeric) 12.538169556582897 absolute error 1.2647660696529783e-12 relative error 1.008732625560218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 12.588322234807958 y[1] (numeric) 12.588322234809233 absolute error 1.2754242106893798e-12 relative error 1.0131804595553692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 12.638474913034281 y[1] (numeric) 12.63847491303557 absolute error 1.2878587085651816e-12 relative error 1.0189985084648071e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 12.688627591260605 y[1] (numeric) 12.688627591261906 absolute error 1.3002932064409833e-12 relative error 1.0247705648927475e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 12.73878026948693 y[1] (numeric) 12.738780269488242 absolute error 1.3109513474773848e-12 relative error 1.02910272392208e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 12.788932947713255 y[1] (numeric) 12.788932947714578 absolute error 1.3233858453531866e-12 relative error 1.0347898849448707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 12.839085625939578 y[1] (numeric) 12.839085625940914 absolute error 1.3358203432289883e-12 relative error 1.0404326150221711e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 12.889238304165904 y[1] (numeric) 12.88923830416725 absolute error 1.3464784842653899e-12 relative error 1.0446532622724474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 12.939390982392228 y[1] (numeric) 12.939390982393586 absolute error 1.3589129821411916e-12 relative error 1.0502140201114447e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 12.989543660618551 y[1] (numeric) 12.989543660619923 absolute error 1.3713474800169934e-12 relative error 1.055731837735469e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 13.039696338844875 y[1] (numeric) 13.039696338846259 absolute error 1.3837819778927951e-12 relative error 1.0612072106085392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 13.0898490170712 y[1] (numeric) 13.089849017072595 absolute error 1.3944401189291966e-12 relative error 1.0652835774580973e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 13.140001695297524 y[1] (numeric) 13.140001695298931 absolute error 1.4068746168049984e-12 relative error 1.0706806965698364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 13.190154373523848 y[1] (numeric) 13.190154373525267 absolute error 1.4193091146808001e-12 relative error 1.0760367729506877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 13.240307051750174 y[1] (numeric) 13.240307051751603 absolute error 1.4299672557172016e-12 relative error 1.0800106448650532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 13.290459729976497 y[1] (numeric) 13.29045972997794 absolute error 1.4424017535930034e-12 relative error 1.0852910906758785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 13.340612408202821 y[1] (numeric) 13.340612408204276 absolute error 1.4548362514688051e-12 relative error 1.0905318338866223e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 13.390765086429147 y[1] (numeric) 13.390765086430612 absolute error 1.4654943925052066e-12 relative error 1.0944067669370213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 13.44091776465547 y[1] (numeric) 13.440917764656948 absolute error 1.4779288903810084e-12 relative error 1.0995743864064122e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 13.491070442881794 y[1] (numeric) 13.491070442883284 absolute error 1.4903633882568101e-12 relative error 1.1047035849132053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 13.54122312110812 y[1] (numeric) 13.54122312110962 absolute error 1.5010215292932116e-12 relative error 1.1084829751851681e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 13.591375799334443 y[1] (numeric) 13.591375799335957 absolute error 1.5134560271690134e-12 relative error 1.1135414468071186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 13.641528477560767 y[1] (numeric) 13.641528477562293 absolute error 1.5258905250448151e-12 relative error 1.1185627237847901e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 13.691681155787093 y[1] (numeric) 13.691681155788629 absolute error 1.5365486660812167e-12 relative error 1.1222498162190699e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 13.741833834013416 y[1] (numeric) 13.741833834014965 absolute error 1.5489831639570184e-12 relative error 1.1272026591698534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 13.79198651223974 y[1] (numeric) 13.791986512241301 absolute error 1.5614176618328202e-12 relative error 1.1321194814446311e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 13.842139190466066 y[1] (numeric) 13.842139190467638 absolute error 1.5720758028692217e-12 relative error 1.1357173781000607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 13.89229186869239 y[1] (numeric) 13.892291868693974 absolute error 1.5845103007450234e-12 relative error 1.1405679607954892e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 13.942444546918713 y[1] (numeric) 13.94244454692031 absolute error 1.5969447986208252e-12 relative error 1.1453836472125333e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 13.992597225145037 y[1] (numeric) 13.992597225146646 absolute error 1.609379296496627e-12 relative error 1.1501648125799929e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 14.042749903371362 y[1] (numeric) 14.042749903372982 absolute error 1.6200374375330284e-12 relative error 1.1536468631005757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 14.092902581597686 y[1] (numeric) 14.092902581599319 absolute error 1.6324719354088302e-12 relative error 1.1583645923590567e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 14.14305525982401 y[1] (numeric) 14.143055259825655 absolute error 1.644906433284632e-12 relative error 1.1630488625447826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 14.193207938050335 y[1] (numeric) 14.19320793805199 absolute error 1.6555645743210334e-12 relative error 1.1664484741907134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 14.243360616276659 y[1] (numeric) 14.243360616278327 absolute error 1.6679990721968352e-12 relative error 1.1710712921855833e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 14.293513294502983 y[1] (numeric) 14.293513294504663 absolute error 1.680433570072637e-12 relative error 1.1756616693524189e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 14.343665972729308 y[1] (numeric) 14.343665972731 absolute error 1.6910917111090384e-12 relative error 1.1789815200132257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 14.393818650955632 y[1] (numeric) 14.393818650957336 absolute error 1.7035262089848402e-12 relative error 1.1835123467195691e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 14.443971329181956 y[1] (numeric) 14.443971329183672 absolute error 1.715960706860642e-12 relative error 1.1880117093515628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 14.494124007408281 y[1] (numeric) 14.494124007410008 absolute error 1.7266188478970435e-12 relative error 1.1912543641923642e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 14.544276685634605 y[1] (numeric) 14.544276685636344 absolute error 1.7390533457728452e-12 relative error 1.1956960001252656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 14.594429363860929 y[1] (numeric) 14.59442936386268 absolute error 1.751487843648647e-12 relative error 1.2001071093507243e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 14.644582042087254 y[1] (numeric) 14.644582042089016 absolute error 1.7621459846850485e-12 relative error 1.2032750266417944e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 14.694734720313578 y[1] (numeric) 14.694734720315353 absolute error 1.7745804825608502e-12 relative error 1.2076301589219718e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 14.744887398539902 y[1] (numeric) 14.744887398541689 absolute error 1.787014980436652e-12 relative error 1.2119556644519437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 14.795040076766227 y[1] (numeric) 14.795040076768025 absolute error 1.7976731214730535e-12 relative error 1.2150512010414057e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 14.845192754992551 y[1] (numeric) 14.845192754994361 absolute error 1.8101076193488552e-12 relative error 1.2193224090944203e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 14.895345433218875 y[1] (numeric) 14.895345433220697 absolute error 1.822542117224657e-12 relative error 1.2235648548036436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 14.945498111445199 y[1] (numeric) 14.945498111447034 absolute error 1.8349766151004587e-12 relative error 1.2277788277228722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 14.995650789671524 y[1] (numeric) 14.99565078967337 absolute error 1.8456347561368602e-12 relative error 1.2307800321731074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 15.045803467897848 y[1] (numeric) 15.045803467899706 absolute error 1.858069254012662e-12 relative error 1.2349418613483096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 15.095956146124172 y[1] (numeric) 15.095956146126042 absolute error 1.8705037518884637e-12 relative error 1.2390760371735104e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 15.146108824350497 y[1] (numeric) 15.146108824352378 absolute error 1.8811618929248652e-12 relative error 1.2420100203561915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 15.19626150257682 y[1] (numeric) 15.196261502578714 absolute error 1.893596390800667e-12 relative error 1.2460935806346654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 15.246414180803145 y[1] (numeric) 15.24641418080505 absolute error 1.9060308886764687e-12 relative error 1.2501502753849912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 15.29656685902947 y[1] (numeric) 15.296566859031387 absolute error 1.9166890297128703e-12 relative error 1.2530190907389526e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 15.346719537255794 y[1] (numeric) 15.346719537257723 absolute error 1.929123527588672e-12 relative error 1.2570266387585435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 15.396872215482118 y[1] (numeric) 15.39687221548406 absolute error 1.9415580254644738e-12 relative error 1.2610080789734464e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 15.447024893708443 y[1] (numeric) 15.447024893710395 absolute error 1.9522161665008753e-12 relative error 1.2638136987116599e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 15.497177571934767 y[1] (numeric) 15.497177571936732 absolute error 1.964650664376677e-12 relative error 1.2677474044916667e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 15.54733025016109 y[1] (numeric) 15.547330250163068 absolute error 1.9770851622524788e-12 relative error 1.2716557315247057e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 15.597482928387416 y[1] (numeric) 15.597482928389404 absolute error 1.9877433032888803e-12 relative error 1.274400050582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 15.64763560661374 y[1] (numeric) 15.64763560661574 absolute error 2.000177801164682e-12 relative error 1.2782620016529992e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 15.697788284840064 y[1] (numeric) 15.697788284842076 absolute error 2.0126122990404838e-12 relative error 1.2820992757203498e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 15.74794096306639 y[1] (numeric) 15.747940963068412 absolute error 2.0232704400768853e-12 relative error 1.2847841154739258e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 15.798093641292713 y[1] (numeric) 15.798093641294749 absolute error 2.035704937952687e-12 relative error 1.2885763207731633e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 15.848246319519037 y[1] (numeric) 15.848246319521085 absolute error 2.0481394358284888e-12 relative error 1.2923445247730387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 15.89839899774536 y[1] (numeric) 15.898398997747421 absolute error 2.0605739337042905e-12 relative error 1.296088954615186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 15.948551675971686 y[1] (numeric) 15.948551675973757 absolute error 2.071232074740692e-12 relative error 1.2986960300986074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 15.99870435419801 y[1] (numeric) 15.998704354200093 absolute error 2.0836665726164938e-12 relative error 1.302397073216586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 16.048857032424333 y[1] (numeric) 16.04885703242641 absolute error 2.078337502098293e-12 relative error 1.2950065527403731e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 16.09900971065066 y[1] (numeric) 16.09900971065273 absolute error 2.071232074740692e-12 relative error 1.2865586840229199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 16.149162388876984 y[1] (numeric) 16.14916238887905 absolute error 2.064126647383091e-12 relative error 1.2781632865397367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 16.199315067103306 y[1] (numeric) 16.199315067105367 absolute error 2.0605739337042905e-12 relative error 1.2720129988019017e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 16.249467745329632 y[1] (numeric) 16.249467745331685 absolute error 2.0534685063466895e-12 relative error 1.263714318850161e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 16.299620423555957 y[1] (numeric) 16.299620423558004 absolute error 2.0463630789890885e-12 relative error 1.2554667076981231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 16.34977310178228 y[1] (numeric) 16.349773101784322 absolute error 2.042810365310288e-12 relative error 1.2494426391076965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 16.399925780008605 y[1] (numeric) 16.39992578001064 absolute error 2.035704937952687e-12 relative error 1.2412891163411222e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 16.450078458234927 y[1] (numeric) 16.45007845823696 absolute error 2.0321522242738865e-12 relative error 1.2353450042401402e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 16.500231136461252 y[1] (numeric) 16.500231136463277 absolute error 2.0250467969162855e-12 relative error 1.2272838969155134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 16.550383814687578 y[1] (numeric) 16.550383814689596 absolute error 2.0179413695586845e-12 relative error 1.2192716447867934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 16.6005364929139 y[1] (numeric) 16.600536492915914 absolute error 2.014388655879884e-12 relative error 1.2134479248545644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 16.650689171140225 y[1] (numeric) 16.650689171142233 absolute error 2.007283228522283e-12 relative error 1.2055256139195745e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 16.70084184936655 y[1] (numeric) 16.70084184936855 absolute error 2.000177801164682e-12 relative error 1.1976508844316414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 16.750994527592873 y[1] (numeric) 16.75099452759487 absolute error 1.9966250874858815e-12 relative error 1.1919442061765139e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 16.8011472058192 y[1] (numeric) 16.801147205821188 absolute error 1.9895196601282805e-12 relative error 1.1841570315146076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 16.851299884045524 y[1] (numeric) 16.851299884047506 absolute error 1.9824142327706795e-12 relative error 1.1764162090828317e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 16.901452562271846 y[1] (numeric) 16.901452562273825 absolute error 1.978861519091879e-12 relative error 1.1708233430238887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 16.95160524049817 y[1] (numeric) 16.951605240500143 absolute error 1.971756091734278e-12 relative error 1.1631677730576578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 17.001757918724497 y[1] (numeric) 17.00175791872646 absolute error 1.964650664376677e-12 relative error 1.1555573686959476e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 17.05191059695082 y[1] (numeric) 17.05191059695278 absolute error 1.9610979506978765e-12 relative error 1.1500752009857214e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 17.102063275177144 y[1] (numeric) 17.1020632751791 absolute error 1.9539925233402755e-12 relative error 1.1425478270662263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 17.15221595340347 y[1] (numeric) 17.152215953405417 absolute error 1.9468870959826745e-12 relative error 1.1350644728772546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 17.202368631629792 y[1] (numeric) 17.202368631631735 absolute error 1.943334382303874e-12 relative error 1.129690000207697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 17.252521309856117 y[1] (numeric) 17.252521309858054 absolute error 1.936228954946273e-12 relative error 1.1222875312955755e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 17.302673988082443 y[1] (numeric) 17.302673988084372 absolute error 1.929123527588672e-12 relative error 1.1149279752467125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 17.352826666308765 y[1] (numeric) 17.35282666631069 absolute error 1.9255708139098715e-12 relative error 1.109658300021199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 17.40297934453509 y[1] (numeric) 17.40297934453701 absolute error 1.9184653865522705e-12 relative error 1.1023775576419964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 17.453132022761416 y[1] (numeric) 17.453132022763327 absolute error 1.9113599591946695e-12 relative error 1.0951386586098008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 17.503284700987738 y[1] (numeric) 17.503284700989646 absolute error 1.907807245515869e-12 relative error 1.089970984365128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 17.553437379214063 y[1] (numeric) 17.553437379215964 absolute error 1.900701818158268e-12 relative error 1.0828088978224787e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 17.60359005744039 y[1] (numeric) 17.603590057442283 absolute error 1.893596390800667e-12 relative error 1.075687620889759e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 17.65374273566671 y[1] (numeric) 17.6537427356686 absolute error 1.8900436771218665e-12 relative error 1.0706192479531946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 17.703895413893036 y[1] (numeric) 17.70389541389492 absolute error 1.8829382497642655e-12 relative error 1.063572849784596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 17.754048092119362 y[1] (numeric) 17.754048092121238 absolute error 1.8758328224066645e-12 relative error 1.056566261775142e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 17.804200770345684 y[1] (numeric) 17.804200770347556 absolute error 1.872280108727864e-12 relative error 1.0515945831425895e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 17.85435344857201 y[1] (numeric) 17.854353448573875 absolute error 1.865174681370263e-12 relative error 1.0446610048035313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 17.904506126798335 y[1] (numeric) 17.904506126800193 absolute error 1.858069254012662e-12 relative error 1.0377662700406023e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 17.954658805024657 y[1] (numeric) 17.95465880502651 absolute error 1.8545165403338615e-12 relative error 1.0328887674628883e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 18.004811483250982 y[1] (numeric) 18.00481148325283 absolute error 1.8474111129762605e-12 relative error 1.02606523522605e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 18.054964161477308 y[1] (numeric) 18.05496416147915 absolute error 1.8403056856186595e-12 relative error 1.0192796115016384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 18.10511683970363 y[1] (numeric) 18.105116839705467 absolute error 1.836752971939859e-12 relative error 1.0144938517667834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 18.155269517929955 y[1] (numeric) 18.155269517931785 absolute error 1.829647544582258e-12 relative error 1.0077776828238859e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 18.205422196156277 y[1] (numeric) 18.205422196158104 absolute error 1.8260948309034575e-12 relative error 1.003049976665195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 18.255574874382603 y[1] (numeric) 18.255574874384422 absolute error 1.8189894035458565e-12 relative error 9.964021489667682e-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) 18.30572755260893 y[1] (numeric) 18.30572755261074 absolute error 1.8118839761882555e-12 relative error 9.897907477214835e-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) 18.35588023083525 y[1] (numeric) 18.35588023083706 absolute error 1.808331262509455e-12 relative error 9.851509378840451e-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) 18.406032909061576 y[1] (numeric) 18.406032909063377 absolute error 1.801225835151854e-12 relative error 9.786062233242464e-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) 18.4561855872879 y[1] (numeric) 18.456185587289696 absolute error 1.794120407794253e-12 relative error 9.72097077865316e-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) 18.506338265514223 y[1] (numeric) 18.506338265516014 absolute error 1.7905676941154525e-12 relative error 9.675429403838897e-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) 18.55649094374055 y[1] (numeric) 18.556490943742332 absolute error 1.7834622667578515e-12 relative error 9.610988802597113e-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) 18.606643621966874 y[1] (numeric) 18.60664362196865 absolute error 1.7763568394002505e-12 relative error 9.546895590041269e-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) 18.656796300193196 y[1] (numeric) 18.65679630019497 absolute error 1.77280412572145e-12 relative error 9.502189428434141e-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) 18.706948978419522 y[1] (numeric) 18.706948978421288 absolute error 1.765698698363849e-12 relative error 9.438731566546594e-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) 18.757101656645847 y[1] (numeric) 18.757101656647606 absolute error 1.758593271006248e-12 relative error 9.375613051514059e-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) 18.80725433487217 y[1] (numeric) 18.807254334873925 absolute error 1.7550405573274475e-12 relative error 9.331721292635862e-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) 18.857407013098495 y[1] (numeric) 18.857407013100243 absolute error 1.7479351299698465e-12 relative error 9.269223116177732e-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) 18.90755969132482 y[1] (numeric) 18.90755969132656 absolute error 1.7408297026122455e-12 relative error 9.207056495032377e-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) 18.957712369551142 y[1] (numeric) 18.95771236955288 absolute error 1.737276988933445e-12 relative error 9.163959000262953e-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) 19.007865047777468 y[1] (numeric) 19.007865047779198 absolute error 1.730171561575844e-12 relative error 9.102398176896504e-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) 19.058017726003794 y[1] (numeric) 19.058017726005517 absolute error 1.723066134218243e-12 relative error 9.041161357863562e-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) 19.108170404230115 y[1] (numeric) 19.108170404231835 absolute error 1.7195134205394424e-12 relative error 8.998838633754182e-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) 19.15832308245644 y[1] (numeric) 19.158323082458153 absolute error 1.7124079931818414e-12 relative error 8.938193524619693e-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) 19.208475760682767 y[1] (numeric) 19.208475760684472 absolute error 1.7053025658242404e-12 relative error 8.877865100128201e-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) 19.25862843890909 y[1] (numeric) 19.25862843891079 absolute error 1.70174985214544e-12 relative error 8.836298272972113e-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) 19.308781117135414 y[1] (numeric) 19.30878111713711 absolute error 1.694644424787839e-12 relative error 8.776547905884857e-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) 19.35893379536174 y[1] (numeric) 19.358933795363427 absolute error 1.687538997430238e-12 relative error 8.717107126191836e-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) 19.40908647358806 y[1] (numeric) 19.409086473589745 absolute error 1.6839862837514374e-12 relative error 8.676277917783564e-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) 19.459239151814387 y[1] (numeric) 19.459239151816064 absolute error 1.6768808563938364e-12 relative error 8.61740196166654e-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) 19.509391830040713 y[1] (numeric) 19.509391830042382 absolute error 1.6697754290362354e-12 relative error 8.558828709694078e-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) 19.559544508267035 y[1] (numeric) 19.5595445082687 absolute error 1.666222715357435e-12 relative error 8.518719414213298e-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) 19.60969718649336 y[1] (numeric) 19.60969718649502 absolute error 1.659117287999834e-12 relative error 8.460698154699656e-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) 19.659849864719686 y[1] (numeric) 19.659849864721338 absolute error 1.652011860642233e-12 relative error 8.402972922020265e-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) 19.710002542946008 y[1] (numeric) 19.710002542947656 absolute error 1.6484591469634324e-12 relative error 8.363566383979985e-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) 19.760155221172333 y[1] (numeric) 19.760155221173974 absolute error 1.6413537196058314e-12 relative error 8.306380700123128e-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) 19.81030789939866 y[1] (numeric) 19.810307899400293 absolute error 1.6342482922482304e-12 relative error 8.249484564032636e-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) 19.86046057762498 y[1] (numeric) 19.86046057762661 absolute error 1.63069557856943e-12 relative error 8.210764157235055e-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) 19.910613255851306 y[1] (numeric) 19.91061325585293 absolute error 1.623590151211829e-12 relative error 8.154395499268162e-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) 19.96076593407763 y[1] (numeric) 19.960765934079248 absolute error 1.616484723854228e-12 relative error 8.098310100889043e-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) 20.010918612303954 y[1] (numeric) 20.010918612305566 absolute error 1.6129320101754274e-12 relative error 8.060259708335911e-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) 20.06107129053028 y[1] (numeric) 20.061071290531885 absolute error 1.6058265828178264e-12 relative error 8.00469007642602e-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) 20.111223968756626 y[1] (numeric) 20.111223968758203 absolute error 1.5774048733874224e-12 relative error 7.843405631790322e-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) 20.161376646982973 y[1] (numeric) 20.16137664698452 absolute error 1.5489831639570184e-12 relative error 7.682923597326942e-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) 20.21152932520932 y[1] (numeric) 20.21152932521084 absolute error 1.5205614545266144e-12 relative error 7.523237999759163e-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) 20.261682003435666 y[1] (numeric) 20.26168200343716 absolute error 1.4921397450962104e-12 relative error 7.364342924951621e-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) 20.31183468166201 y[1] (numeric) 20.311834681663477 absolute error 1.4672707493446069e-12 relative error 7.223723372804391e-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) 20.361987359888357 y[1] (numeric) 20.361987359889795 absolute error 1.4388490399142029e-12 relative error 7.066348753111553e-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) 20.412140038114703 y[1] (numeric) 20.412140038116114 absolute error 1.4104273304837989e-12 relative error 6.909747473073226e-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) 20.46229271634105 y[1] (numeric) 20.462292716342432 absolute error 1.3820056210533949e-12 relative error 6.75391384636842e-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) 20.512445394567397 y[1] (numeric) 20.51244539456875 absolute error 1.3535839116229909e-12 relative error 6.5988422422880876e-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) 20.562598072793744 y[1] (numeric) 20.56259807279507 absolute error 1.3251622021925868e-12 relative error 6.444527085056928e-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) 20.61275075102009 y[1] (numeric) 20.612750751021387 absolute error 1.2967404927621828e-12 relative error 6.290962853165094e-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) 20.662903429246438 y[1] (numeric) 20.662903429247706 absolute error 1.2683187833317788e-12 relative error 6.138144078709628e-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) 20.713056107472784 y[1] (numeric) 20.713056107474024 absolute error 1.2398970739013748e-12 relative error 5.986065346745472e-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) 20.76320878569913 y[1] (numeric) 20.763208785700343 absolute error 1.2114753644709708e-12 relative error 5.834721294645877e-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) 20.813361463925478 y[1] (numeric) 20.81336146392666 absolute error 1.1830536550405668e-12 relative error 5.6841066114720635e-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) 20.863514142151825 y[1] (numeric) 20.86351414215298 absolute error 1.1546319456101628e-12 relative error 5.534216037351971e-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) 20.91366682037817 y[1] (numeric) 20.913666820379298 absolute error 1.1262102361797588e-12 relative error 5.385044362867946e-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) 20.96381949860452 y[1] (numeric) 20.963819498605616 absolute error 1.0977885267493548e-12 relative error 5.236586428453223e-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) 21.013972176830862 y[1] (numeric) 21.013972176831935 absolute error 1.0729195309977513e-12 relative error 5.105743559424277e-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) 21.06412485505721 y[1] (numeric) 21.064124855058253 absolute error 1.0444978215673473e-12 relative error 4.958657569467348e-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) 21.114277533283555 y[1] (numeric) 21.11427753328457 absolute error 1.0160761121369433e-12 relative error 4.812270325305938e-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) 21.164430211509902 y[1] (numeric) 21.16443021151089 absolute error 9.876544027065393e-13 relative error 4.666576859552878e-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) 21.21458288973625 y[1] (numeric) 21.21458288973721 absolute error 9.592326932761353e-13 relative error 4.521572251793921e-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) 21.264735567962596 y[1] (numeric) 21.264735567963527 absolute error 9.308109838457312e-13 relative error 4.377251628033828e-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) 21.314888246188943 y[1] (numeric) 21.314888246189845 absolute error 9.023892744153272e-13 relative error 4.2336101601502536e-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) 21.36504092441529 y[1] (numeric) 21.365040924416164 absolute error 8.739675649849232e-13 relative error 4.090643065355334e-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) 21.415193602641637 y[1] (numeric) 21.415193602642482 absolute error 8.455458555545192e-13 relative error 3.948345605664841e-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) 21.465346280867983 y[1] (numeric) 21.4653462808688 absolute error 8.171241461241152e-13 relative error 3.806713087374771e-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) 21.51549895909433 y[1] (numeric) 21.51549895909512 absolute error 7.887024366937112e-13 relative error 3.665740860545261e-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) 21.565651637320677 y[1] (numeric) 21.565651637321437 absolute error 7.602807272633072e-13 relative error 3.5254243184917028e-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) 21.615804315547024 y[1] (numeric) 21.615804315547756 absolute error 7.318590178329032e-13 relative error 3.3857588972829404e-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) 21.665956993773367 y[1] (numeric) 21.665956993774074 absolute error 7.069900220812997e-13 relative error 3.263137752394151e-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) 21.716109671999714 y[1] (numeric) 21.716109672000393 absolute error 6.785683126508957e-13 relative error 3.1247231797039e-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) 21.76626235022606 y[1] (numeric) 21.76626235022671 absolute error 6.501466032204917e-13 relative error 2.9869464621873373e-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) 21.816415028452408 y[1] (numeric) 21.81641502845303 absolute error 6.217248937900877e-13 relative error 2.8498032008432643e-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) 21.866567706678754 y[1] (numeric) 21.866567706679348 absolute error 5.933031843596837e-13 relative error 2.713289037028293e-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) 21.9167203849051 y[1] (numeric) 21.916720384905666 absolute error 5.648814749292796e-13 relative error 2.577399651995084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 21.966873063131448 y[1] (numeric) 21.966873063131985 absolute error 5.364597654988756e-13 relative error 2.4421307664369123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 22.017025741357795 y[1] (numeric) 22.017025741358303 absolute error 5.080380560684716e-13 relative error 2.3074781400384593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 22.067178419584142 y[1] (numeric) 22.06717841958462 absolute error 4.796163466380676e-13 relative error 2.1734375710327266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 22.11733109781049 y[1] (numeric) 22.11733109781094 absolute error 4.511946372076636e-13 relative error 2.040004895763982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 22.167483776036836 y[1] (numeric) 22.16748377603726 absolute error 4.227729277772596e-13 relative error 1.9071759882566344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 22.217636454263182 y[1] (numeric) 22.217636454263577 absolute error 3.943512183468556e-13 relative error 1.7749467597899523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 22.26778913248953 y[1] (numeric) 22.267789132489895 absolute error 3.659295089164516e-13 relative error 1.6433131584785257e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 22.317941810715876 y[1] (numeric) 22.317941810716214 absolute error 3.375077994860476e-13 relative error 1.5122711688583868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 22.36809448894222 y[1] (numeric) 22.368094488942532 absolute error 3.126388037344441e-13 relative error 1.3976997633347743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 22.418247167168566 y[1] (numeric) 22.41824716716885 absolute error 2.8421709430404007e-13 relative error 1.2677935620242197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 22.468399845394913 y[1] (numeric) 22.46839984539517 absolute error 2.5579538487363607e-13 relative error 1.138467299112373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 22.51855252362126 y[1] (numeric) 22.518552523621487 absolute error 2.2737367544323206e-13 relative error 1.009717099732428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 22.568705201847607 y[1] (numeric) 22.568705201847806 absolute error 1.9895196601282805e-13 relative error 8.815391234608385e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 22.618857880073953 y[1] (numeric) 22.618857880074124 absolute error 1.7053025658242404e-13 relative error 7.539295639354647e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 22.6690105583003 y[1] (numeric) 22.669010558300442 absolute error 1.4210854715202004e-13 relative error 6.268846484787874e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 22.719163236526647 y[1] (numeric) 22.71916323652676 absolute error 1.1368683772161603e-13 relative error 5.004006377261134e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 22.769315914752994 y[1] (numeric) 22.76931591475308 absolute error 8.526512829121202e-14 relative error 3.744738252586935e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 22.81946859297934 y[1] (numeric) 22.819468592979398 absolute error 5.684341886080802e-14 relative error 2.4910053724168016e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 22.869621271205688 y[1] (numeric) 22.869621271205716 absolute error 2.842170943040401e-14 relative error 1.2427713206684692e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 22.919773949432034 y[1] (numeric) 22.919773949432034 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] 4.579999999999864 y[1] (closed_form) 22.96992662765838 y[1] (numeric) 22.969926627658353 absolute error 2.842170943040401e-14 relative error 1.237344371669915e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 23.020079305884728 y[1] (numeric) 23.02007930588467 absolute error 5.684341886080802e-14 relative error 2.469297264596168e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 23.07023198411107 y[1] (numeric) 23.07023198411099 absolute error 8.171241461241152e-14 relative error 3.5418982639051265e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 23.12038466233742 y[1] (numeric) 23.120384662337308 absolute error 1.1013412404281553e-13 relative error 4.763507426510144e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 23.170537340563765 y[1] (numeric) 23.170537340563627 absolute error 1.3855583347321954e-13 relative error 5.979828237761892e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 23.220690018790112 y[1] (numeric) 23.220690018789945 absolute error 1.6697754290362354e-13 relative error 7.190894963435877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 23.27084269701646 y[1] (numeric) 23.270842697016263 absolute error 1.9539925233402755e-13 relative error 8.396741573912988e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 23.320995375242806 y[1] (numeric) 23.320995375242582 absolute error 2.2382096176443156e-13 relative error 9.597401747355789e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 23.371148053469152 y[1] (numeric) 23.3711480534689 absolute error 2.5224267119483557e-13 relative error 1.0792908872843896e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 23.4213007316955 y[1] (numeric) 23.42130073169522 absolute error 2.8066438062523957e-13 relative error 1.1983296053469098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 23.471453409921846 y[1] (numeric) 23.471453409921537 absolute error 3.090860900556436e-13 relative error 1.3168596109390771e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 23.521606088148193 y[1] (numeric) 23.521606088147855 absolute error 3.375077994860476e-13 relative error 1.4348841580852224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 23.57175876637454 y[1] (numeric) 23.571758766374174 absolute error 3.659295089164516e-13 relative error 1.5524064731158518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 23.621911444600887 y[1] (numeric) 23.621911444600492 absolute error 3.943512183468556e-13 relative error 1.6694297549616377e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 23.672064122827233 y[1] (numeric) 23.67206412282681 absolute error 4.227729277772596e-13 relative error 1.7859571754436699e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 23.722216801053577 y[1] (numeric) 23.72221680105313 absolute error 4.476419235288631e-13 relative error 1.887015565547744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 23.772369479279924 y[1] (numeric) 23.772369479279448 absolute error 4.760636329592671e-13 relative error 2.0025922673556196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 23.82252215750627 y[1] (numeric) 23.822522157505766 absolute error 5.044853423896711e-13 relative error 2.1176823304190408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 23.872674835732617 y[1] (numeric) 23.872674835732084 absolute error 5.329070518200751e-13 relative error 2.232288821788918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 23.922827513958964 y[1] (numeric) 23.922827513958403 absolute error 5.613287612504791e-13 relative error 2.346414782796657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 23.97298019218531 y[1] (numeric) 23.97298019218472 absolute error 5.897504706808832e-13 relative error 2.460063229323192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 24.023132870411658 y[1] (numeric) 24.02313287041104 absolute error 6.181721801112872e-13 relative error 2.5732371520646477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 24.073285548638005 y[1] (numeric) 24.073285548637358 absolute error 6.465938895416912e-13 relative error 2.68593951679468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 24.12343822686435 y[1] (numeric) 24.123438226863676 absolute error 6.750155989720952e-13 relative error 2.798173264623548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 24.1735909050907 y[1] (numeric) 24.173590905089995 absolute error 7.034373084024992e-13 relative error 2.9099413122539557e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 24.223743583317045 y[1] (numeric) 24.223743583316313 absolute error 7.318590178329032e-13 relative error 3.02124655223372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 24.273896261543392 y[1] (numeric) 24.27389626154263 absolute error 7.602807272633072e-13 relative error 3.132091853205303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 24.32404893976974 y[1] (numeric) 24.32404893976895 absolute error 7.887024366937112e-13 relative error 3.242480060152261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 24.374201617996086 y[1] (numeric) 24.37420161799527 absolute error 8.171241461241152e-13 relative error 3.3524139946426466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 24.42435429622243 y[1] (numeric) 24.424354296221587 absolute error 8.419931418757187e-13 relative error 3.447350671644756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 24.474506974448776 y[1] (numeric) 24.474506974447905 absolute error 8.704148513061227e-13 relative error 3.556414240396467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 24.524659652675123 y[1] (numeric) 24.524659652674224 absolute error 8.988365607365267e-13 relative error 3.665031741382322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 24.57481233090147 y[1] (numeric) 24.574812330900542 absolute error 9.272582701669307e-13 relative error 3.773205905629459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 24.624965009127816 y[1] (numeric) 24.62496500912686 absolute error 9.556799795973347e-13 relative error 3.8809394419163224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 24.675117687354163 y[1] (numeric) 24.67511768735318 absolute error 9.841016890277388e-13 relative error 3.988235036998767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 24.72527036558051 y[1] (numeric) 24.725270365579497 absolute error 1.0125233984581428e-12 relative error 4.095095355833413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 24.775423043806857 y[1] (numeric) 24.775423043805816 absolute error 1.0409451078885468e-12 relative error 4.201523041798284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 24.825575722033204 y[1] (numeric) 24.825575722032134 absolute error 1.0693668173189508e-12 relative error 4.30752071691077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 24.87572840025955 y[1] (numeric) 24.875728400258453 absolute error 1.0977885267493548e-12 relative error 4.4130909820429646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 24.925881078485897 y[1] (numeric) 24.92588107848477 absolute error 1.1262102361797588e-12 relative error 4.518236417134385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 24.976033756712244 y[1] (numeric) 24.97603375671109 absolute error 1.1546319456101628e-12 relative error 4.622959581402145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 25.02618643493859 y[1] (numeric) 25.026186434937408 absolute error 1.1830536550405668e-12 relative error 4.727263013548591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%