##############ECHO OF PROBLEM################# ##############temp/mtest5postode.ode################# diff ( y1 , x , 1 ) = neg ( y2 ) ; diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.5) x_end=c(5.0) $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $array_y2_init[1 + 1] = exact_soln_y2p(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y1 (x) x = c(x) return(neg(cos(c(x)))) end def exact_soln_y2 (x) x = c(x) return(neg(sin(c(x)))) end def exact_soln_y2p (x) x = c(x) return(neg(cos(c(x)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.5 y1[1] (closed_form) -0.8775825618903728 y1[1] (numeric) -0.8775825618903728 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.479425538604203 y2[1] (numeric) -0.479425538604203 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.51 y1[1] (closed_form) -0.8727445076457513 y1[1] (numeric) -0.8727445076457513 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.4881772468829075 y2[1] (numeric) -0.48817724688290753 absolute error 5.551115123125783e-17 relative error 1.137110579931894e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.52 y1[1] (closed_form) -0.8678191796776499 y1[1] (numeric) -0.8678191796776498 absolute error 1.1102230246251565e-16 relative error 1.2793252910560784e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.49688013784373675 y2[1] (numeric) -0.49688013784373675 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.53 y1[1] (closed_form) -0.862807070514761 y1[1] (numeric) -0.862807070514761 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5055333412048469 y2[1] (numeric) -0.5055333412048472 absolute error 2.220446049250313e-16 relative error 4.3922840854735376e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.54 y1[1] (closed_form) -0.8577086813638242 y1[1] (numeric) -0.857708681363824 absolute error 1.1102230246251565e-16 relative error 1.294405721602135e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5141359916531132 y2[1] (numeric) -0.5141359916531133 absolute error 1.1102230246251565e-16 relative error 2.1593956514412287e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.55 y1[1] (closed_form) -0.8525245220595057 y1[1] (numeric) -0.8525245220595057 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5226872289306592 y2[1] (numeric) -0.5226872289306593 absolute error 1.1102230246251565e-16 relative error 2.1240676319880795e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.56 y1[1] (closed_form) -0.8472551110134161 y1[1] (numeric) -0.847255111013416 absolute error 1.1102230246251565e-16 relative error 1.3103763083791848e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5311861979208834 y2[1] (numeric) -0.5311861979208835 absolute error 1.1102230246251565e-16 relative error 2.090082590569337e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000001 y1[1] (closed_form) -0.8419009751622687 y1[1] (numeric) -0.8419009751622687 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5396320487339693 y2[1] (numeric) -0.5396320487339694 absolute error 1.1102230246251565e-16 relative error 2.057370438301155e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000001 y1[1] (closed_form) -0.8364626499151869 y1[1] (numeric) -0.8364626499151869 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5480239367918737 y2[1] (numeric) -0.5480239367918738 absolute error 1.1102230246251565e-16 relative error 2.0258659341130067e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000001 y1[1] (closed_form) -0.8309406791001634 y1[1] (numeric) -0.8309406791001636 absolute error 1.1102230246251565e-16 relative error 1.3361038309346361e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5563610229127839 y2[1] (numeric) -0.5563610229127841 absolute error 2.220446049250313e-16 relative error 3.9910165482573604e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000001 y1[1] (closed_form) -0.8253356149096782 y1[1] (numeric) -0.8253356149096783 absolute error 1.1102230246251565e-16 relative error 1.3451776520593448e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5646424733950355 y2[1] (numeric) -0.5646424733950356 absolute error 1.1102230246251565e-16 relative error 1.9662407221151813e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000001 y1[1] (closed_form) -0.8196480178454795 y1[1] (numeric) -0.8196480178454795 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5728674601004814 y2[1] (numeric) -0.5728674601004816 absolute error 2.220446049250313e-16 relative error 3.8760205525739674e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000001 y1[1] (closed_form) -0.8138784566625339 y1[1] (numeric) -0.8138784566625339 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5810351605373052 y2[1] (numeric) -0.5810351605373055 absolute error 3.3306690738754696e-16 relative error 5.732302105083407e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000001 y1[1] (closed_form) -0.8080275083121518 y1[1] (numeric) -0.8080275083121518 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5891447579422696 y2[1] (numeric) -0.58914475794227 absolute error 3.3306690738754696e-16 relative error 5.6533967738398217e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000001 y1[1] (closed_form) -0.8020957578842925 y1[1] (numeric) -0.8020957578842923 absolute error 2.220446049250313e-16 relative error 2.7683054391251707e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.5971954413623921 y2[1] (numeric) -0.5971954413623922 absolute error 1.1102230246251565e-16 relative error 1.8590614524658557e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000001 y1[1] (closed_form) -0.7960837985490558 y1[1] (numeric) -0.7960837985490554 absolute error 3.3306690738754696e-16 relative error 4.1838171809876737e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6051864057360397 y2[1] (numeric) -0.6051864057360397 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000001 y1[1] (closed_form) -0.789992231497365 y1[1] (numeric) -0.7899922314973647 absolute error 2.220446049250313e-16 relative error 2.8107188409202975e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6131168519734339 y2[1] (numeric) -0.6131168519734337 absolute error 2.220446049250313e-16 relative error 3.621570736644055e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000002 y1[1] (closed_form) -0.7838216658808492 y1[1] (numeric) -0.783821665880849 absolute error 2.220446049250313e-16 relative error 2.8328459723743448e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6209859870365598 y2[1] (numeric) -0.6209859870365595 absolute error 3.3306690738754696e-16 relative error 5.363517282845515e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000002 y1[1] (closed_form) -0.7775727187509278 y1[1] (numeric) -0.7775727187509277 absolute error 1.1102230246251565e-16 relative error 1.427806040325835e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6287930240184686 y2[1] (numeric) -0.6287930240184683 absolute error 3.3306690738754696e-16 relative error 5.296924340206489e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000002 y1[1] (closed_form) -0.7712460149971065 y1[1] (numeric) -0.7712460149971063 absolute error 2.220446049250313e-16 relative error 2.8790373059608525e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6365371822219681 y2[1] (numeric) -0.6365371822219675 absolute error 5.551115123125783e-16 relative error 8.720802614779607e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000002 y1[1] (closed_form) -0.7648421872844883 y1[1] (numeric) -0.7648421872844884 absolute error 1.1102230246251565e-16 relative error 1.451571373915599e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6442176872376912 y2[1] (numeric) -0.6442176872376907 absolute error 5.551115123125783e-16 relative error 8.61683128715098e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000002 y1[1] (closed_form) -0.7583618759905081 y1[1] (numeric) -0.7583618759905082 absolute error 1.1102230246251565e-16 relative error 1.463975260063116e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6518337710215368 y2[1] (numeric) -0.6518337710215364 absolute error 4.440892098500626e-16 relative error 6.812921170900636e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000002 y1[1] (closed_form) -0.7518057291408948 y1[1] (numeric) -0.751805729140895 absolute error 2.220446049250313e-16 relative error 2.9534838099566844e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6593846719714733 y2[1] (numeric) -0.6593846719714728 absolute error 5.551115123125783e-16 relative error 8.418629305604997e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000002 y1[1] (closed_form) -0.7451744023448702 y1[1] (numeric) -0.7451744023448705 absolute error 3.3306690738754696e-16 relative error 4.469650411225506e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.666869635003698 y2[1] (numeric) -0.6668696350036974 absolute error 5.551115123125783e-16 relative error 8.324138379902392e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000002 y1[1] (closed_form) -0.7384685587295877 y1[1] (numeric) -0.7384685587295883 absolute error 5.551115123125783e-16 relative error 7.51706360075174e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6742879116281453 y2[1] (numeric) -0.6742879116281446 absolute error 6.661338147750939e-16 relative error 9.879070991598198e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000002 y1[1] (closed_form) -0.7316888688738208 y1[1] (numeric) -0.7316888688738212 absolute error 4.440892098500626e-16 relative error 6.069372225568809e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6816387600233343 y2[1] (numeric) -0.6816387600233336 absolute error 7.771561172376096e-16 relative error 1.1401289991358552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000002 y1[1] (closed_form) -0.724836010740905 y1[1] (numeric) -0.7248360107409056 absolute error 6.661338147750939e-16 relative error 9.190131352527485e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6889214451105515 y2[1] (numeric) -0.6889214451105508 absolute error 7.771561172376096e-16 relative error 1.1280765357985032e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000002 y1[1] (closed_form) -0.7179106696109432 y1[1] (numeric) -0.7179106696109439 absolute error 6.661338147750939e-16 relative error 9.278784157590127e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.6961352386273569 y2[1] (numeric) -0.696135238627356 absolute error 8.881784197001252e-16 relative error 1.275870506787503e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000002 y1[1] (closed_form) -0.7109135380122772 y1[1] (numeric) -0.7109135380122779 absolute error 6.661338147750939e-16 relative error 9.370110135159503e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.7032794192004104 y2[1] (numeric) -0.7032794192004097 absolute error 6.661338147750939e-16 relative error 9.471822956691255e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000003 y1[1] (closed_form) -0.703845315652236 y1[1] (numeric) -0.7038453156522365 absolute error 5.551115123125783e-16 relative error 7.886839621830405e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.710353272417608 y2[1] (numeric) -0.7103532724176074 absolute error 6.661338147750939e-16 relative error 9.377500472518158e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000003 y1[1] (closed_form) -0.6967067093471653 y1[1] (numeric) -0.6967067093471658 absolute error 5.551115123125783e-16 relative error 7.967649871388983e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.7173560908995229 y2[1] (numeric) -0.7173560908995222 absolute error 6.661338147750939e-16 relative error 9.285957465556622e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000003 y1[1] (closed_form) -0.6894984329517468 y1[1] (numeric) -0.6894984329517475 absolute error 6.661338147750939e-16 relative error 9.661136022070002e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.7242871743701427 y2[1] (numeric) -0.724287174370142 absolute error 6.661338147750939e-16 relative error 9.197095273078385e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000003 y1[1] (closed_form) -0.6822212072876134 y1[1] (numeric) -0.6822212072876142 absolute error 7.771561172376096e-16 relative error 1.139155612484461e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7311458297268961 y2[1] (numeric) -0.7311458297268951 absolute error 9.992007221626409e-16 relative error 1.3666230203841427e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000003 y1[1] (closed_form) -0.6748757600712669 y1[1] (numeric) -0.6748757600712677 absolute error 7.771561172376096e-16 relative error 1.1515543500266507e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7379313711099629 y2[1] (numeric) -0.7379313711099619 absolute error 9.992007221626409e-16 relative error 1.3540564357084975e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000003 y1[1] (closed_form) -0.6674628258413079 y1[1] (numeric) -0.6674628258413087 absolute error 7.771561172376096e-16 relative error 1.1643436715116503e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7446431199708595 y2[1] (numeric) -0.7446431199708584 absolute error 1.1102230246251565e-15 relative error 1.4909464612640259e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000003 y1[1] (closed_form) -0.659983145884982 y1[1] (numeric) -0.6599831458849826 absolute error 6.661338147750939e-16 relative error 1.0093194332741095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7512804051402929 y2[1] (numeric) -0.7512804051402919 absolute error 9.992007221626409e-16 relative error 1.329997049471897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000003 y1[1] (closed_form) -0.6524374681640516 y1[1] (numeric) -0.6524374681640522 absolute error 6.661338147750939e-16 relative error 1.0209925813267341e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7578425628952772 y2[1] (numeric) -0.7578425628952762 absolute error 9.992007221626409e-16 relative error 1.3184806067704537e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000003 y1[1] (closed_form) -0.644826547240001 y1[1] (numeric) -0.6448265472400015 absolute error 5.551115123125783e-16 relative error 8.608695077592218e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.7643289370255053 y2[1] (numeric) -0.7643289370255043 absolute error 9.992007221626409e-16 relative error 1.3072914994572526e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000003 y1[1] (closed_form) -0.63715114419858 y1[1] (numeric) -0.6371511441985805 absolute error 5.551115123125783e-16 relative error 8.712399206483532e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.7707388788989695 y2[1] (numeric) -0.7707388788989685 absolute error 9.992007221626409e-16 relative error 1.296419253677767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000003 y1[1] (closed_form) -0.6294120265736967 y1[1] (numeric) -0.6294120265736971 absolute error 4.440892098500626e-16 relative error 7.055620024732162e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.7770717475268241 y2[1] (numeric) -0.777071747526823 absolute error 1.1102230246251565e-15 relative error 1.4287265341439174e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000004 y1[1] (closed_form) -0.6216099682706642 y1[1] (numeric) -0.6216099682706648 absolute error 6.661338147750939e-16 relative error 1.0716266610529048e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7833269096274836 y2[1] (numeric) -0.7833269096274824 absolute error 1.2212453270876722e-15 relative error 1.559049372717763e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000004 y1[1] (closed_form) -0.6137457494888112 y1[1] (numeric) -0.6137457494888121 absolute error 8.881784197001252e-16 relative error 1.447143903546198e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7895037396899507 y2[1] (numeric) -0.7895037396899495 absolute error 1.2212453270876722e-15 relative error 1.5468518585703883e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000004 y1[1] (closed_form) -0.6058201566434626 y1[1] (numeric) -0.6058201566434633 absolute error 7.771561172376096e-16 relative error 1.2828165400494948e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.7956016200363663 y2[1] (numeric) -0.795601620036365 absolute error 1.2212453270876722e-15 relative error 1.534996028580045e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000004 y1[1] (closed_form) -0.5978339822872979 y1[1] (numeric) -0.5978339822872987 absolute error 7.771561172376096e-16 relative error 1.299953064334399e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8016199408837774 y2[1] (numeric) -0.8016199408837763 absolute error 1.1102230246251565e-15 relative error 1.384974310146461e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000004 y1[1] (closed_form) -0.589788025031098 y1[1] (numeric) -0.5897880250310985 absolute error 5.551115123125783e-16 relative error 9.412051258302654e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.8075581004051146 y2[1] (numeric) -0.8075581004051136 absolute error 9.992007221626409e-16 relative error 1.237311249384271e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000004 y1[1] (closed_form) -0.5816830894638831 y1[1] (numeric) -0.5816830894638838 absolute error 6.661338147750939e-16 relative error 1.1451833942586264e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.813415504789374 y2[1] (numeric) -0.8134155047893731 absolute error 8.881784197001252e-16 relative error 1.0919123307467693e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000004 y1[1] (closed_form) -0.5735199860724564 y1[1] (numeric) -0.573519986072457 absolute error 6.661338147750939e-16 relative error 1.161483175742261e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8191915683009985 y2[1] (numeric) -0.8191915683009975 absolute error 9.992007221626409e-16 relative error 1.21973999834371e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000004 y1[1] (closed_form) -0.5652995311603539 y1[1] (numeric) -0.5652995311603546 absolute error 6.661338147750939e-16 relative error 1.1783731951939957e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8248857133384503 y2[1] (numeric) -0.8248857133384495 absolute error 7.771561172376096e-16 relative error 9.421379285287036e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000004 y1[1] (closed_form) -0.557022546766217 y1[1] (numeric) -0.5570225467662178 absolute error 7.771561172376096e-16 relative error 1.3951968762294695e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8304973704919707 y2[1] (numeric) -0.8304973704919698 absolute error 8.881784197001252e-16 relative error 1.069453620514157e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000004 y1[1] (closed_form) -0.5486898605815872 y1[1] (numeric) -0.5486898605815881 absolute error 8.881784197001252e-16 relative error 1.6187257748096438e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8360259786005207 y2[1] (numeric) -0.8360259786005199 absolute error 8.881784197001252e-16 relative error 1.0623813642572518e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000004 y1[1] (closed_form) -0.5403023058681393 y1[1] (numeric) -0.5403023058681404 absolute error 1.1102230246251565e-15 relative error 2.0548182241074986e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8414709848078967 y2[1] (numeric) -0.8414709848078957 absolute error 9.992007221626409e-16 relative error 1.1874452479080463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999993 y1[1] (closed_form) -0.531860721374356 y1[1] (numeric) -0.5318607213743562 absolute error 2.220446049250313e-16 relative error 4.174863756647725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) -0.8468318446180149 y2[1] (numeric) -0.8468318446180144 absolute error 4.440892098500626e-16 relative error 5.2441250606297215e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999982 y1[1] (closed_form) -0.5233659512516511 y1[1] (numeric) -0.5233659512516503 absolute error 7.771561172376096e-16 relative error 1.4849191380887673e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.852108021949362 y2[1] (numeric) -0.8521080219493622 absolute error 2.220446049250313e-16 relative error 2.6058269515766478e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999971 y1[1] (closed_form) -0.5148188449699578 y1[1] (numeric) -0.5148188449699561 absolute error 1.6653345369377348e-15 relative error 3.2347971586683374e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8572989891886019 y2[1] (numeric) -0.8572989891886026 absolute error 6.661338147750939e-16 relative error 7.770145808821751e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.039999999999996 y1[1] (closed_form) -0.5062202572327819 y1[1] (numeric) -0.5062202572327791 absolute error 2.7755575615628914e-15 relative error 5.482904964600361e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8624042272433364 y2[1] (numeric) -0.8624042272433377 absolute error 1.2212453270876722e-15 relative error 1.416093855420174e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.049999999999995 y1[1] (closed_form) -0.4975710478917314 y1[1] (numeric) -0.49757104789172774 absolute error 3.6637359812630166e-15 relative error 7.363241886333034e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8674232255940144 y2[1] (numeric) -0.8674232255940163 absolute error 1.887379141862766e-15 relative error 2.1758457534616765e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999938 y1[1] (closed_form) -0.48887208186053294 y1[1] (numeric) -0.48887208186052833 absolute error 4.6074255521944e-15 relative error 9.424603537718117e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.8723554823449833 y2[1] (numeric) -0.8723554823449857 absolute error 2.4424906541753444e-15 relative error 2.799879984257877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999927 y1[1] (closed_form) -0.4801242290285405 y1[1] (numeric) -0.4801242290285348 absolute error 5.717648576819556e-15 relative error 1.190868577573842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.8772005042746781 y2[1] (numeric) -0.8772005042746809 absolute error 2.7755575615628914e-15 relative error 3.1641084883528294e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999916 y1[1] (closed_form) -0.4713283641737474 y1[1] (numeric) -0.47132836417374063 absolute error 6.772360450213455e-15 relative error 1.436866729225092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.8819578068849435 y2[1] (numeric) -0.8819578068849467 absolute error 3.219646771412954e-15 relative error 3.6505678007258405e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999905 y1[1] (closed_form) -0.4624853668753093 y1[1] (numeric) -0.46248536687530156 absolute error 7.716050021144838e-15 relative error 1.6683879261471126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.8866269144494828 y2[1] (numeric) -0.8866269144494865 absolute error 3.6637359812630166e-15 relative error 4.1322183226728163e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999894 y1[1] (closed_form) -0.4535961214255868 y1[1] (numeric) -0.4535961214255781 absolute error 8.715250743307479e-15 relative error 1.9213680037467493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.8912073600614305 y2[1] (numeric) -0.8912073600614348 absolute error 4.218847493575595e-15 relative error 4.733856207476554e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999883 y1[1] (closed_form) -0.4446615167417173 y1[1] (numeric) -0.4446615167417075 absolute error 9.769962616701378e-15 relative error 2.1971684638444403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.8956986856800424 y2[1] (numeric) -0.8956986856800472 absolute error 4.773959005888173e-15 relative error 5.329871621128521e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999872 y1[1] (closed_form) -0.43568244627672364 y1[1] (numeric) -0.4356824462767129 absolute error 1.0769163338864018e-14 relative error 2.471791882114063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9001004421764994 y2[1] (numeric) -0.9001004421765043 absolute error 4.884981308350689e-15 relative error 5.427151326065897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999861 y1[1] (closed_form) -0.42665980793016983 y1[1] (numeric) -0.42665980793015795 absolute error 1.1879386363489175e-14 relative error 2.784275936634144e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.90441218937882 y2[1] (numeric) -0.9044121893788253 absolute error 5.329070518200751e-15 relative error 5.892302846847887e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.139999999999985 y1[1] (closed_form) -0.4175945039583717 y1[1] (numeric) -0.4175945039583588 absolute error 1.2934098236883074e-14 relative error 3.0972865098273468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.908633496115877 y2[1] (numeric) -0.9086334961158825 absolute error 5.551115123125783e-15 relative error 6.109300556115373e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.149999999999984 y1[1] (closed_form) -0.408487440884172 y1[1] (numeric) -0.40848744088415795 absolute error 1.404432126150823e-14 relative error 3.438128044061591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9127639402605146 y2[1] (numeric) -0.9127639402605202 absolute error 5.662137425588298e-15 relative error 6.203287811712031e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999828 y1[1] (closed_form) -0.3993395294062889 y1[1] (numeric) -0.3993395294062738 absolute error 1.509903313490213e-14 relative error 3.781001384298307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9168031087717601 y2[1] (numeric) -0.9168031087717661 absolute error 5.995204332975845e-15 relative error 6.53924956799897e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999817 y1[1] (closed_form) -0.39015168430824704 y1[1] (numeric) -0.3901516843082309 absolute error 1.6153745008296028e-14 relative error 4.140375566220404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9207505977361286 y2[1] (numeric) -0.9207505977361349 absolute error 6.328271240363392e-15 relative error 6.872948283631706e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999806 y1[1] (closed_form) -0.3809248243668997 y1[1] (numeric) -0.3809248243668824 absolute error 1.7263968032921184e-14 relative error 4.532119444201109e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.924606012408013 y2[1] (numeric) -0.9246060124080195 absolute error 6.5503158452884236e-15 relative error 7.084440028925402e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999795 y1[1] (closed_form) -0.37165987226055197 y1[1] (numeric) -0.3716598722605336 absolute error 1.837419105754634e-14 relative error 4.94381891318768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9283689672491591 y2[1] (numeric) -0.9283689672491661 absolute error 6.994405055138486e-15 relative error 7.53407890815603e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999784 y1[1] (closed_form) -0.3623577544766937 y1[1] (numeric) -0.36235775447667423 absolute error 1.9484414082171497e-14 relative error 5.377120771241755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9320390859672185 y2[1] (numeric) -0.9320390859672257 absolute error 7.216449660063518e-15 relative error 7.742647029201233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999773 y1[1] (closed_form) -0.35301940121935155 y1[1] (numeric) -0.35301940121933106 absolute error 2.0483614804334138e-14 relative error 5.802404834856788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9356160015533779 y2[1] (numeric) -0.9356160015533852 absolute error 7.327471962526033e-15 relative error 7.831708682152112e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999762 y1[1] (closed_form) -0.34364574631606937 y1[1] (numeric) -0.3436457463160478 absolute error 2.1593837828959295e-14 relative error 6.283749489248235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9390993563190594 y2[1] (numeric) -0.9390993563190669 absolute error 7.549516567451064e-15 relative error 8.039103122211185e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999751 y1[1] (closed_form) -0.33423772712452604 y1[1] (numeric) -0.3342377271245034 absolute error 2.2648549702353193e-14 relative error 6.776179905602064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9424888019316892 y2[1] (numeric) -0.9424888019316968 absolute error 7.66053886991358e-15 relative error 8.127989270761447e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.239999999999974 y1[1] (closed_form) -0.3247962844388008 y1[1] (numeric) -0.324796284438777 absolute error 2.3814283878209608e-14 relative error 7.332067828102502e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9457839994495305 y2[1] (numeric) -0.9457839994495384 absolute error 7.882583474838611e-15 relative error 8.334443677865631e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.249999999999973 y1[1] (closed_form) -0.3153223623952944 y1[1] (numeric) -0.31532236239526934 absolute error 2.503552920529728e-14 relative error 7.939661816281917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9489846193555777 y2[1] (numeric) -0.9489846193555855 absolute error 7.882583474838611e-15 relative error 8.306334279886853e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999718 y1[1] (closed_form) -0.30581690837831615 y1[1] (numeric) -0.30581690837828995 absolute error 2.6201263381153694e-14 relative error 8.567630717377132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9520903415905071 y2[1] (numeric) -0.9520903415905149 absolute error 7.771561172376096e-15 relative error 8.162629986765095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999707 y1[1] (closed_form) -0.2962808729253467 y1[1] (numeric) -0.2962808729253194 absolute error 2.731148640577885e-14 relative error 9.218106500131876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9551008555846836 y2[1] (numeric) -0.9551008555846914 absolute error 7.771561172376096e-15 relative error 8.136901068545879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999696 y1[1] (closed_form) -0.28671520963198466 y1[1] (numeric) -0.2867152096319562 absolute error 2.8477220581635265e-14 relative error 9.932232272639949e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.9580158602892163 y2[1] (numeric) -0.9580158602892241 absolute error 7.882583474838611e-15 relative error 8.228030246241363e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999685 y1[1] (closed_form) -0.2771208750565879 y1[1] (numeric) -0.27712087505655836 absolute error 2.9531932455029164e-14 relative error 1.0656697171946633e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9608350642060639 y2[1] (numeric) -0.9608350642060719 absolute error 7.993605777301127e-15 relative error 8.319435952211244e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999674 y1[1] (closed_form) -0.2674988286246188 y1[1] (numeric) -0.2674988286245882 absolute error 3.064215547965432e-14 relative error 1.1455061555673002e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9635581854171843 y2[1] (numeric) -0.9635581854171922 absolute error 7.882583474838611e-15 relative error 8.180703141892516e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999663 y1[1] (closed_form) -0.2578500325327022 y1[1] (numeric) -0.2578500325326705 absolute error 3.169686735304822e-14 relative error 1.2292752900478388e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9661849516127253 y2[1] (numeric) -0.9661849516127333 absolute error 7.993605777301127e-15 relative error 8.273370190622875e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999652 y1[1] (closed_form) -0.24817545165240668 y1[1] (numeric) -0.2481754516523738 absolute error 3.2862601528904634e-14 relative error 1.3241680960021715e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9687151001182567 y2[1] (numeric) -0.9687151001182644 absolute error 7.771561172376096e-15 relative error 8.022545711765385e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.329999999999964 y1[1] (closed_form) -0.23847605343375808 y1[1] (numeric) -0.2384760534337241 absolute error 3.397282455352979e-14 relative error 1.4245801230087231e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.971148377921036 y2[1] (numeric) -0.9711483779210439 absolute error 7.882583474838611e-15 relative error 8.116765320365436e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.339999999999963 y1[1] (closed_form) -0.2287528078084955 y1[1] (numeric) -0.22875280780846038 absolute error 3.5110803153770576e-14 relative error 1.5348796585335998e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.973484541695311 y2[1] (numeric) -0.9734845416953186 absolute error 7.66053886991358e-15 relative error 7.86919415954243e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.349999999999962 y1[1] (closed_form) -0.21900668709307877 y1[1] (numeric) -0.21900668709304255 absolute error 3.622102617839573e-14 relative error 1.653877635389354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9757233578266508 y2[1] (numeric) -0.9757233578266584 absolute error 7.66053886991358e-15 relative error 7.85113814122155e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999608 y1[1] (closed_form) -0.2092386658914577 y1[1] (numeric) -0.20923866589142032 absolute error 3.7386760354252146e-14 relative error 1.7867997865005736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9778646024353079 y2[1] (numeric) -0.9778646024353156 absolute error 7.66053886991358e-15 relative error 7.833946387705935e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999597 y1[1] (closed_form) -0.19944972099761246 y1[1] (numeric) -0.19944972099757396 absolute error 3.84969833788773e-14 relative error 1.9301598009925588e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9799080613986062 y2[1] (numeric) -0.9799080613986136 absolute error 7.438494264988549e-15 relative error 7.591012420462907e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999586 y1[1] (closed_form) -0.189640831297875 y1[1] (numeric) -0.18964083129783538 absolute error 3.963496197911809e-14 relative error 2.0900014890180567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9818535303723519 y2[1] (numeric) -0.9818535303723591 absolute error 7.216449660063518e-15 relative error 7.349822999899789e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999575 y1[1] (closed_form) -0.1798129776730413 y1[1] (numeric) -0.1798129776730005 absolute error 4.08006961549745e-14 relative error 2.2690629276582856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9837008148112689 y2[1] (numeric) -0.9837008148112761 absolute error 7.216449660063518e-15 relative error 7.336020821989512e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999564 y1[1] (closed_form) -0.16996714290028392 y1[1] (numeric) -0.16996714290024198 absolute error 4.193867475521529e-14 relative error 2.4674577709304564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9854497299884528 y2[1] (numeric) -0.9854497299884598 absolute error 6.994405055138486e-15 relative error 7.097678189247101e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999553 y1[1] (closed_form) -0.1601043115548753 y1[1] (numeric) -0.16010431155483223 absolute error 4.3076653355456074e-14 relative error 2.6905367467691006e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9871001010138432 y2[1] (numeric) -0.98710010101385 absolute error 6.8833827526759706e-15 relative error 6.973338109889868e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999542 y1[1] (closed_form) -0.15022546991173105 y1[1] (numeric) -0.15022546991168684 absolute error 4.421463195569686e-14 relative error 2.943218082904073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9886517628517129 y2[1] (numeric) -0.9886517628517195 absolute error 6.661338147750939e-15 relative error 6.737800303452317e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.429999999999953 y1[1] (closed_form) -0.14033160584678311 y1[1] (numeric) -0.14033160584673773 absolute error 4.5380366131553274e-14 relative error 3.233795113917564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9901045603371712 y2[1] (numeric) -0.9901045603371773 absolute error 6.106226635438361e-15 relative error 6.167254328531666e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.439999999999952 y1[1] (closed_form) -0.1304237087381931 y1[1] (numeric) -0.13042370873814654 absolute error 4.654610030740969e-14 relative error 3.568837350028461e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9914583481916802 y2[1] (numeric) -0.9914583481916861 absolute error 5.88418203051333e-15 relative error 5.934875672029473e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999509 y1[1] (closed_form) -0.12050276936741533 y1[1] (numeric) -0.12050276936736765 absolute error 4.7684078907650473e-14 relative error 3.9570940284584477e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9927129910375826 y2[1] (numeric) -0.9927129910375881 absolute error 5.551115123125783e-15 relative error 5.59186307950273e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999498 y1[1] (closed_form) -0.11056977982011947 y1[1] (numeric) -0.11056977982007063 absolute error 4.8835935295699073e-14 relative error 4.416752513674881e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9938683634116393 y2[1] (numeric) -0.9938683634116444 absolute error 5.10702591327572e-15 relative error 5.138533533500248e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999487 y1[1] (closed_form) -0.10062573338698276 y1[1] (numeric) -0.1006257333869328 absolute error 4.9960036108132044e-14 relative error 4.9649363464510186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9949243497775757 y2[1] (numeric) -0.9949243497775805 absolute error 4.773959005888173e-15 relative error 4.798313567212858e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999476 y1[1] (closed_form) -0.09067162446436186 y1[1] (numeric) -0.09067162446431076 absolute error 5.109801470837283e-14 relative error 5.635502287538337e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9958808445376353 y2[1] (numeric) -0.9958808445376396 absolute error 4.3298697960381105e-15 relative error 4.3477789735461475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999465 y1[1] (closed_form) -0.08070844845485396 y1[1] (numeric) -0.0807084484548017 absolute error 5.2263748884229244e-14 relative error 6.475623046261894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9967377520431391 y2[1] (numeric) -0.9967377520431427 absolute error 3.6637359812630166e-15 relative error 3.675727114532378e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999454 y1[1] (closed_form) -0.07073720166775739 y1[1] (numeric) -0.07073720166770402 absolute error 5.33739719088544e-14 relative error 7.54538922242703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9974949866040506 y2[1] (numeric) -0.9974949866040539 absolute error 3.3306690738754696e-15 relative error 3.339033397265141e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999443 y1[1] (closed_form) -0.06075888121944153 y1[1] (numeric) -0.06075888121938701 absolute error 5.4518889402999093e-14 relative error 8.972990994698275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9981524724975447 y2[1] (numeric) -0.9981524724975477 absolute error 2.9976021664879227e-15 relative error 3.0031505697595676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999432 y1[1] (closed_form) -0.05077448493363595 y1[1] (numeric) -0.050774484933580305 absolute error 5.5642990215432064e-14 relative error 1.0958848777719641e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9987101439755801 y2[1] (numeric) -0.9987101439755824 absolute error 2.3314683517128287e-15 relative error 2.3344794941522456e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.529999999999942 y1[1] (closed_form) -0.04078501124164894 y1[1] (numeric) -0.040785011241592166 absolute error 5.677402992176894e-14 relative error 1.3920317340452832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9991679452714737 y2[1] (numeric) -0.9991679452714756 absolute error 1.887379141862766e-15 relative error 1.888950852351419e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.539999999999941 y1[1] (closed_form) -0.030791459082525157 y1[1] (numeric) -0.030791459082467273 absolute error 5.78842529463941e-14 relative error 1.8798801573922395e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9995258306054773 y2[1] (numeric) -0.9995258306054785 absolute error 1.2212453270876722e-15 relative error 1.2218246789559056e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999399 y1[1] (closed_form) -0.02079482780315259 y1[1] (numeric) -0.020794827803093593 absolute error 5.899794541797121e-14 relative error 2.837145177467007e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9997837641893557 y2[1] (numeric) -0.9997837641893563 absolute error 6.661338147750939e-16 relative error 6.662778879143015e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999388 y1[1] (closed_form) -0.010796117058328673 y1[1] (numeric) -0.010796117058268566 absolute error 6.010643371912039e-14 relative error 5.567412190362575e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9999417202299656 y2[1] (numeric) -0.9999417202299657 absolute error 1.1102230246251565e-16 relative error 1.1102877319388458e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5699999999999377 y1[1] (closed_form) -0.0007963267107956579 y1[1] (numeric) -0.00079632671073445 absolute error 6.120787470614841e-14 relative error 7.686276734958688e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 y2[1] (closed_form) -0.9999996829318346 y2[1] (numeric) -0.9999996829318342 absolute error 4.440892098500626e-16 relative error 4.440893506566583e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999366 y1[1] (closed_form) 0.009203543268744833 y1[1] (numeric) 0.009203543268807134 absolute error 6.230085891623105e-14 relative error 6.76922540558964e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9999576464987406 y2[1] (numeric) -0.9999576464987394 absolute error 1.2212453270876722e-15 relative error 1.221297053293957e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999355 y1[1] (closed_form) 0.019202492901628045 y1[1] (numeric) 0.019202492901691435 absolute error 6.339026525914448e-14 relative error 3.3011476990974473e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9998156151342921 y2[1] (numeric) -0.9998156151342902 absolute error 1.887379141862766e-15 relative error 1.8877272101909104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999344 y1[1] (closed_form) 0.029199522301223118 y1[1] (numeric) 0.029199522301287587 absolute error 6.446926326120206e-14 relative error 2.2078876015893436e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9995736030415071 y2[1] (numeric) -0.9995736030415043 absolute error 2.7755575615628914e-15 relative error 2.77674155571677e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999333 y1[1] (closed_form) 0.03919363177292092 y1[1] (numeric) 0.03919363177298646 absolute error 6.553785292240377e-14 relative error 1.672155652788579e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9992316344213932 y2[1] (numeric) -0.9992316344213897 absolute error 3.4416913763379853e-15 relative error 3.444337887011456e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999322 y1[1] (closed_form) 0.049183821914102685 y1[1] (numeric) 0.04918382191416928 absolute error 6.659256479579767e-14 relative error 1.3539526251558605e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9987897434705274 y2[1] (numeric) -0.9987897434705233 absolute error 4.107825191113079e-15 relative error 4.1128027374805477e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.629999999999931 y1[1] (closed_form) 0.059169093714079427 y1[1] (numeric) 0.05916909371414707 absolute error 6.764033777528766e-14 relative error 1.1431700830528773e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) -0.9982479743776366 y2[1] (numeric) -0.9982479743776319 absolute error 4.6629367034256575e-15 relative error 4.671120626448346e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.63999999999993 y1[1] (closed_form) 0.06914844865399217 y1[1] (numeric) 0.06914844865406085 absolute error 6.868117186087375e-14 relative error 9.932424110415463e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9976063813191786 y2[1] (numeric) -0.9976063813191731 absolute error 5.440092820663267e-15 relative error 5.453145571773102e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999289 y1[1] (closed_form) 0.07912088880666303 y1[1] (numeric) 0.07912088880673275 absolute error 6.972200594645983e-14 relative error 8.81208578392364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9968650284539244 y2[1] (numeric) -0.9968650284539181 absolute error 6.328271240363392e-15 relative error 6.348172580773694e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999278 y1[1] (closed_form) 0.08908541693638708 y1[1] (numeric) 0.08908541693645784 absolute error 7.076284003204591e-14 relative error 7.943257433770029e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9960239899165432 y2[1] (numeric) -0.9960239899165361 absolute error 7.105427357601002e-15 relative error 7.133791384077371e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999267 y1[1] (closed_form) 0.0990410365986551 y1[1] (numeric) 0.0990410365987269 absolute error 7.1803674117632e-14 relative error 7.249891215153844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9950833498101874 y2[1] (numeric) -0.9950833498101795 absolute error 7.882583474838611e-15 relative error 7.92153087109961e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999256 y1[1] (closed_form) 0.10898675223979717 y1[1] (numeric) 0.10898675223987 absolute error 7.283063041541027e-14 relative error 6.682521399955593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9940432021980841 y2[1] (numeric) -0.9940432021980755 absolute error 8.548717289613705e-15 relative error 8.599945425621646e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999245 y1[1] (closed_form) 0.11892156929653726 y1[1] (numeric) 0.11892156929661107 absolute error 7.38159533497651e-14 relative error 6.207112283029253e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9929036510941275 y2[1] (numeric) -0.992903651094118 absolute error 9.43689570931383e-15 relative error 9.504341835096355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999234 y1[1] (closed_form) 0.12884449429544867 y1[1] (numeric) 0.1288444942955235 absolute error 7.482903185973555e-14 relative error 5.807701157035689e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9916648104524785 y2[1] (numeric) -0.9916648104524681 absolute error 1.0325074129013956e-14 relative error 1.0411858946878245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999222 y1[1] (closed_form) 0.1387545349523006 y1[1] (numeric) 0.1387545349523764 absolute error 7.580047700628256e-14 relative error 5.4629188899909e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9903268041561688 y2[1] (numeric) -0.9903268041561576 absolute error 1.1213252548714081e-14 relative error 1.132278001731822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999211 y1[1] (closed_form) 0.14865070027128569 y1[1] (numeric) 0.14865070027136248 absolute error 7.67996777284452e-14 relative error 5.1664524679861406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9888897660047132 y2[1] (numeric) -0.9888897660047011 absolute error 1.2101430968414206e-14 relative error 1.2237391248678903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.72999999999992 y1[1] (closed_form) 0.15853200064411882 y1[1] (numeric) 0.1585320006441966 absolute error 7.777112287499222e-14 relative error 4.905705003343585e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9873538397007291 y2[1] (numeric) -0.9873538397007162 absolute error 1.2878587085651816e-14 relative error 1.304353775497077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.739999999999919 y1[1] (closed_form) 0.1683974479489971 y1[1] (numeric) 0.16839744794907588 absolute error 7.877032359715486e-14 relative error 4.677643548435021e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9857191788355671 y2[1] (numeric) -0.9857191788355534 absolute error 1.3766765505351941e-14 relative error 1.3966214517216415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999178 y1[1] (closed_form) 0.17824605564941126 y1[1] (numeric) 0.17824605564949095 absolute error 7.968625759247061e-14 relative error 4.470576210067951e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9839859468739516 y2[1] (numeric) -0.9839859468739367 absolute error 1.4876988529977098e-14 relative error 1.5119106708017687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999167 y1[1] (closed_form) 0.18807683889279833 y1[1] (numeric) 0.18807683889287893 absolute error 8.060219158778636e-14 relative error 4.285599016991598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9821543171376341 y2[1] (numeric) -0.9821543171376182 absolute error 1.587618925213974e-14 relative error 1.6164658623513366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999156 y1[1] (closed_form) 0.1978888146090263 y1[1] (numeric) 0.19788881460910784 absolute error 8.154588115871775e-14 relative error 4.120792846216696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9802244727880621 y2[1] (numeric) -0.9802244727880451 absolute error 1.6986412276764895e-14 relative error 1.732910445344246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999145 y1[1] (closed_form) 0.20768100160870018 y1[1] (numeric) 0.20768100160878258 absolute error 8.240630400280224e-14 relative error 3.967926934311842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9781966068080624 y2[1] (numeric) -0.9781966068080442 absolute error 1.8207657603852567e-14 relative error 1.8613494952988725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999134 y1[1] (closed_form) 0.21745242068128012 y1[1] (numeric) 0.21745242068136342 absolute error 8.329448242250237e-14 relative error 3.8304693119322426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.976070921982543 y2[1] (numeric) -0.9760709219825237 absolute error 1.9317880628477724e-14 relative error 1.979147231354898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999123 y1[1] (closed_form) 0.22720209469300168 y1[1] (numeric) 0.2272020946930859 absolute error 8.421041641781812e-14 relative error 3.706410212969396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9738476308782151 y2[1] (numeric) -0.9738476308781947 absolute error 2.042810365310288e-14 relative error 2.097669389479423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999112 y1[1] (closed_form) 0.2369290486845884 y1[1] (numeric) 0.23692904868467346 absolute error 8.507083926190262e-14 relative error 3.590561804650349e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9715269558223364 y2[1] (numeric) -0.9715269558223149 absolute error 2.1538326677728037e-14 relative error 2.216956158411189e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999101 y1[1] (closed_form) 0.24663230996874688 y1[1] (numeric) 0.24663230996883279 absolute error 8.590350653037149e-14 relative error 3.483059723247823e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9691091288804785 y2[1] (numeric) -0.9691091288804559 absolute error 2.2648549702353193e-14 relative error 2.3370484321530386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.829999999999909 y1[1] (closed_form) 0.25631090822743474 y1[1] (numeric) 0.2563109082275214 absolute error 8.665290707199347e-14 relative error 3.380773283168383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.966594391833321 y2[1] (numeric) -0.966594391833297 absolute error 2.398081733190338e-14 relative error 2.48095970083371e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.839999999999908 y1[1] (closed_form) 0.26596387560889156 y1[1] (numeric) 0.26596387560897905 absolute error 8.748557434046234e-14 relative error 3.2893780834023e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9639829961524726 y2[1] (numeric) -0.9639829961524476 absolute error 2.4980018054066022e-14 relative error 2.591333888021708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999068 y1[1] (closed_form) 0.2755902468244233 y1[1] (numeric) 0.2755902468245117 absolute error 8.842926391139372e-14 relative error 3.2087225484337045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9612752029753256 y2[1] (numeric) -0.9612752029752994 absolute error 2.6201263381153694e-14 relative error 2.7256776519414947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999057 y1[1] (closed_form) 0.2851890592449304 y1[1] (numeric) 0.2851890592450196 absolute error 8.920642002863133e-14 relative error 3.127974834126358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.958471283078941 y2[1] (numeric) -0.9584712830789136 absolute error 2.7422508708241367e-14 relative error 2.8610673258932486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999046 y1[1] (closed_form) 0.29475935299716977 y1[1] (numeric) 0.2947593529972597 absolute error 8.992806499463768e-14 relative error 3.050897760502994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.955571516852972 y2[1] (numeric) -0.9555715168529434 absolute error 2.864375403532904e-14 relative error 2.997552096326902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999035 y1[1] (closed_form) 0.3043001710597414 y1[1] (numeric) 0.3043001710598321 absolute error 9.070522111187529e-14 relative error 2.9807811410683595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9525761942716248 y2[1] (numeric) -0.9525761942715947 absolute error 3.008704396734174e-14 relative error 3.1584921131004558e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999024 y1[1] (closed_form) 0.3138105593587897 y1[1] (numeric) 0.3138105593588812 absolute error 9.14823772291129e-14 relative error 2.915210291713548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9494856148646611 y2[1] (numeric) -0.9494856148646297 absolute error 3.141931159689193e-14 relative error 3.3090876896929514e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999013 y1[1] (closed_form) 0.32328956686341004 y1[1] (numeric) 0.3232895668635023 absolute error 9.225953334635051e-14 relative error 2.8537739167230903e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9463000876874464 y2[1] (numeric) -0.9463000876874137 absolute error 3.275157922644212e-14 relative error 3.4610140749833303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999002 y1[1] (closed_form) 0.33273624568075116 y1[1] (numeric) 0.33273624568084414 absolute error 9.298117831235686e-14 relative error 2.7944409278924503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9430199312900437 y2[1] (numeric) -0.9430199312900098 absolute error 3.3861802251067274e-14 relative error 3.590783304520892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998991 y1[1] (closed_form) 0.3421496511508034 y1[1] (numeric) 0.3421496511508971 absolute error 9.370282327836321e-14 relative error 2.7386502649702668e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9396454736853594 y2[1] (numeric) -0.9396454736853243 absolute error 3.519406988061746e-14 relative error 3.745462609699348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.929999999999898 y1[1] (closed_form) 0.3515288419408644 y1[1] (numeric) 0.35152884194095885 absolute error 9.442446824436956e-14 relative error 2.686108705135894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9361770523163419 y2[1] (numeric) -0.9361770523163054 absolute error 3.6415315207705135e-14 relative error 3.889789342475797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.939999999999897 y1[1] (closed_form) 0.36087288013967106 y1[1] (numeric) 0.36087288013976615 absolute error 9.509060205914466e-14 relative error 2.63501657487648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9326150140222377 y2[1] (numeric) -0.9326150140222 absolute error 3.7636560534792807e-14 relative error 4.035594534605614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999998958 y1[1] (closed_form) 0.3701808313511901 y1[1] (numeric) 0.37018083135128593 absolute error 9.581224702515101e-14 relative error 2.5882552231413097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9289597150039078 y2[1] (numeric) -0.9289597150038691 absolute error 3.8746783559417963e-14 relative error 4.170986419928335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998947 y1[1] (closed_form) 0.3794517647880571 y1[1] (numeric) 0.37945176478815346 absolute error 9.636735853746359e-14 relative error 2.5396471298872365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9252115207882082 y2[1] (numeric) -0.925211520788168 absolute error 4.0190073491430667e-14 relative error 4.343879490085883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998936 y1[1] (closed_form) 0.388684753364654 y1[1] (numeric) 0.388684753364751 absolute error 9.697798120100742e-14 relative error 2.4950292071277923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9213708061914367 y2[1] (numeric) -0.9213708061913952 absolute error 4.1522341120980855e-14 relative error 4.506583108772126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998925 y1[1] (closed_form) 0.39787887378981734 y1[1] (numeric) 0.39787887378991493 absolute error 9.758860386455126e-14 relative error 2.452721425870508e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9174379552818526 y2[1] (numeric) -0.9174379552818096 absolute error 4.296563105299356e-14 relative error 4.683219263562492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998914 y1[1] (closed_form) 0.40703320665916637 y1[1] (numeric) 0.40703320665926446 absolute error 9.808820422563258e-14 relative error 2.4098329723689546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9134133613412694 y2[1] (numeric) -0.913413361341225 absolute error 4.440892098500626e-14 relative error 4.861864612949778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998903 y1[1] (closed_form) 0.41614683654704265 y1[1] (numeric) 0.41614683654714135 absolute error 9.869882688917642e-14 relative error 2.371730798391379e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9092974268257273 y2[1] (numeric) -0.9092974268256816 absolute error 4.574118861455645e-14 relative error 5.03038799683341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.009999999999889 y1[1] (closed_form) 0.4252188520980521 y1[1] (numeric) 0.4252188520981513 absolute error 9.919842725025774e-14 relative error 2.3328793340372256e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9050905633252481 y2[1] (numeric) -0.9050905633252009 absolute error 4.718447854656915e-14 relative error 5.21323284746404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.019999999999888 y1[1] (closed_form) 0.4342483461181997 y1[1] (numeric) 0.43424834611829943 absolute error 9.975353876257032e-14 relative error 2.2971541435742862e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.9007931915226759 y2[1] (numeric) -0.9007931915226274 absolute error 4.851674617611934e-14 relative error 5.386002762088818e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.029999999999887 y1[1] (closed_form) 0.4432344156656078 y1[1] (numeric) 0.44323441566570804 absolute error 1.0025313912365164e-13 relative error 2.2618536733683212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.89640574115161 y2[1] (numeric) -0.8964057411515601 absolute error 4.984901380566953e-14 relative error 5.560987789037209e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.039999999999886 y1[1] (closed_form) 0.4521761621408102 y1[1] (numeric) 0.4521761621409109 absolute error 1.006972283335017e-13 relative error 2.226946857542305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8919286509534312 y2[1] (numeric) -0.8919286509533799 absolute error 5.129230373768223e-14 relative error 5.750718253399875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.049999999999885 y1[1] (closed_form) 0.46107269137661067 y1[1] (numeric) 0.46107269137671186 absolute error 1.0119682869458302e-13 relative error 2.194812891486649e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8873623686334285 y2[1] (numeric) -0.8873623686333757 absolute error 5.284661597215745e-14 relative error 5.955471838809576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0599999999998837 y1[1] (closed_form) 0.4699231137274995 y1[1] (numeric) 0.4699231137276011 absolute error 1.0158540675320182e-13 relative error 2.161745268229336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8827073508160287 y2[1] (numeric) -0.8827073508159742 absolute error 5.4511950509095186e-14 relative error 6.175540563778131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0699999999998826 y1[1] (closed_form) 0.4787265441586169 y1[1] (numeric) 0.4787265441587189 absolute error 1.0202949596305189e-13 relative error 2.1312688257630093e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8779640629991343 y2[1] (numeric) -0.8779640629990784 absolute error 5.595524044110789e-14 relative error 6.3732950811180365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0799999999998815 y1[1] (closed_form) 0.4874821023342559 y1[1] (numeric) 0.48748210233435835 absolute error 1.0247358517290195e-13 relative error 2.1020994346708968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8731329795075743 y2[1] (numeric) -0.8731329795075168 absolute error 5.750955267558311e-14 relative error 6.586574327775031e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0899999999998804 y1[1] (closed_form) 0.49618891270589516 y1[1] (numeric) 0.4961889127059979 absolute error 1.0275114092905824e-13 relative error 2.0708068700834046e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8682145834456719 y2[1] (numeric) -0.8682145834456131 absolute error 5.88418203051333e-14 relative error 6.7773360903025296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998793 y1[1] (closed_form) 0.5048461045997532 y1[1] (numeric) 0.5048461045998563 absolute error 1.0313971898767704e-13 relative error 2.04299326166827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8632093666489347 y2[1] (numeric) -0.8632093666488744 absolute error 6.0285110237146e-14 relative error 6.9838341156073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.109999999999878 y1[1] (closed_form) 0.5134528123038551 y1[1] (numeric) 0.5134528123039585 absolute error 1.0336176359260207e-13 relative error 2.0130723041289693e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8581178296348714 y2[1] (numeric) -0.8581178296348094 absolute error 6.195044477408373e-14 relative error 7.2193401226080585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.119999999999877 y1[1] (closed_form) 0.5220081751546024 y1[1] (numeric) 0.5220081751547063 absolute error 1.0391687510491465e-13 relative error 1.9907135568161886e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8529404815529404 y2[1] (numeric) -0.8529404815528769 absolute error 6.350475700855895e-14 relative error 7.44539137044316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.129999999999876 y1[1] (closed_form) 0.5305113376228398 y1[1] (numeric) 0.530511337622944 absolute error 1.042499420123022e-13 relative error 1.9650841484261993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8476778401336356 y2[1] (numeric) -0.8476778401335704 absolute error 6.517009154549669e-14 relative error 7.688073046149547e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.139999999999875 y1[1] (closed_form) 0.538961449399406 y1[1] (numeric) 0.5389614493995106 absolute error 1.0458300891968975e-13 relative error 1.9404543504221362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8423304316367132 y2[1] (numeric) -0.8423304316366464 absolute error 6.672440377997191e-14 relative error 7.921404863685291e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.149999999999874 y1[1] (closed_form) 0.5473576654801655 y1[1] (numeric) 0.5473576654802703 absolute error 1.0480505352461478e-13 relative error 1.914745332609443e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8368987907985668 y2[1] (numeric) -0.8368987907984985 absolute error 6.827871601444713e-14 relative error 8.158539212285841e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1599999999998727 y1[1] (closed_form) 0.5556991462505068 y1[1] (numeric) 0.5556991462506119 absolute error 1.0513812043200232e-13 relative error 1.891997156040375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8313834607787539 y2[1] (numeric) -0.831383460778684 absolute error 6.994405055138486e-14 relative error 8.412971131981446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1699999999998716 y1[1] (closed_form) 0.5639850575693041 y1[1] (numeric) 0.5639850575694095 absolute error 1.0547118733938987e-13 relative error 1.8701060590852493e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8257849931056804 y2[1] (numeric) -0.8257849931056088 absolute error 7.16093850883226e-14 relative error 8.671674308224967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1799999999998705 y1[1] (closed_form) 0.5722145708523305 y1[1] (numeric) 0.5722145708524361 absolute error 1.0558220964185239e-13 relative error 1.8451506658522268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8201039476214483 y2[1] (numeric) -0.8201039476213752 absolute error 7.316369732279782e-14 relative error 8.921271204094903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1899999999998694 y1[1] (closed_form) 0.5803868631551156 y1[1] (numeric) 0.5803868631552213 absolute error 1.056932319443149e-13 relative error 1.821082430600554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8143408924258717 y2[1] (numeric) -0.814340892425797 absolute error 7.471800955727304e-14 relative error 9.175274169849515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998683 y1[1] (closed_form) 0.5885011172552392 y1[1] (numeric) 0.588501117255345 absolute error 1.0580425424677742e-13 relative error 1.7978598705172717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8084964038196677 y2[1] (numeric) -0.8084964038195912 absolute error 7.649436639667329e-14 relative error 9.461311891467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.209999999999867 y1[1] (closed_form) 0.5965565217340534 y1[1] (numeric) 0.5965565217341592 absolute error 1.0580425424677742e-13 relative error 1.7735830619909855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.8025710662468265 y2[1] (numeric) -0.8025710662467482 absolute error 7.827072323607354e-14 relative error 9.752497508052675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.219999999999866 y1[1] (closed_form) 0.6045522710578228 y1[1] (numeric) 0.604552271057929 absolute error 1.0613732115416497e-13 relative error 1.755635140836538e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7965654722361676 y2[1] (numeric) -0.7965654722360876 absolute error 7.993605777301127e-14 relative error 1.0035089463344406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.229999999999865 y1[1] (closed_form) 0.6124875656582784 y1[1] (numeric) 0.6124875656583847 absolute error 1.0624834345662748e-13 relative error 1.7347020480723683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7904802223420875 y2[1] (numeric) -0.7904802223420059 absolute error 8.1601392309949e-14 relative error 1.0323015048773133e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.239999999999864 y1[1] (closed_form) 0.6203616120125729 y1[1] (numeric) 0.6203616120126791 absolute error 1.0624834345662748e-13 relative error 1.7126840442614967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7843159250845044 y2[1] (numeric) -0.7843159250844213 absolute error 8.315570454442422e-14 relative error 1.0602322595383333e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2499999999998628 y1[1] (closed_form) 0.6281736227226323 y1[1] (numeric) 0.6281736227227386 absolute error 1.0624834345662748e-13 relative error 1.6913849867832008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7780731968880075 y2[1] (numeric) -0.7780731968879225 absolute error 8.493206138382448e-14 relative error 1.091569041621276e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2599999999998617 y1[1] (closed_form) 0.6359228165938958 y1[1] (numeric) 0.635922816594002 absolute error 1.0613732115416497e-13 relative error 1.669028353513928e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7717526620202139 y2[1] (numeric) -0.7717526620201272 absolute error 8.670841822322473e-14 relative error 1.1235260011445694e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2699999999998606 y1[1] (closed_form) 0.6436084187134338 y1[1] (numeric) 0.6436084187135398 absolute error 1.0602629885170245e-13 relative error 1.6473727777465664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7653549525293433 y2[1] (numeric) -0.7653549525292549 absolute error 8.837375276016246e-14 relative error 1.154676695670487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2799999999998595 y1[1] (closed_form) 0.651229660527439 y1[1] (numeric) 0.6512296605275449 absolute error 1.0591527654923993e-13 relative error 1.6263890140301322e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7588807081810135 y2[1] (numeric) -0.7588807081809233 absolute error 9.015010959956271e-14 relative error 1.1879351870157105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2899999999998584 y1[1] (closed_form) 0.6587857799180812 y1[1] (numeric) 0.6587857799181872 absolute error 1.0602629885170245e-13 relative error 1.609419967517918e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.752330576394264 y2[1] (numeric) -0.7523305763941722 absolute error 9.181544413650045e-14 relative error 1.2204135657565502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998573 y1[1] (closed_form) 0.6662760212797177 y1[1] (numeric) 0.6662760212798237 absolute error 1.0591527654923993e-13 relative error 1.5896606386315425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7457052121768153 y2[1] (numeric) -0.7457052121767217 absolute error 9.35918009759007e-14 relative error 1.2550777364515591e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.309999999999856 y1[1] (closed_form) 0.6736996355944546 y1[1] (numeric) 0.6736996355945603 absolute error 1.056932319443149e-13 relative error 1.5688479904112465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7390052780595678 y2[1] (numeric) -0.7390052780594725 absolute error 9.536815781530095e-14 relative error 1.290493595197486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.319999999999855 y1[1] (closed_form) 0.6810558805070465 y1[1] (numeric) 0.6810558805071519 absolute error 1.0547118733938987e-13 relative error 1.5486421945416066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.73223144403035 y2[1] (numeric) -0.732231444030253 absolute error 9.703349235223868e-14 relative error 1.3251751634448626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.329999999999854 y1[1] (closed_form) 0.6883440203991323 y1[1] (numeric) 0.6883440203992375 absolute error 1.0513812043200232e-13 relative error 1.5274066065255943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7253843874669201 y2[1] (numeric) -0.7253843874668211 absolute error 9.903189379656396e-14 relative error 1.3652333232920613e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.339999999999853 y1[1] (closed_form) 0.6955633264627964 y1[1] (numeric) 0.6955633264629015 absolute error 1.0513812043200232e-13 relative error 1.5115535341213227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7184647930692285 y2[1] (numeric) -0.7184647930691276 absolute error 1.0091927293842673e-13 relative error 1.4046516114910384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3499999999998518 y1[1] (closed_form) 0.7027130767734484 y1[1] (numeric) 0.7027130767735533 absolute error 1.0491607582707729e-13 relative error 1.493014422170797e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7114733527909486 y2[1] (numeric) -0.7114733527908459 absolute error 1.0269562977782698e-13 relative error 1.443422011168448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3599999999998507 y1[1] (closed_form) 0.7097925563620153 y1[1] (numeric) 0.7097925563621199 absolute error 1.0458300891968975e-13 relative error 1.4734306239518988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.7044107657702822 y2[1] (numeric) -0.7044107657701776 absolute error 1.0458300891968975e-13 relative error 1.4846878270709974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3699999999998496 y1[1] (closed_form) 0.716801057286438 y1[1] (numeric) 0.7168010572865423 absolute error 1.0436096431476471e-13 relative error 1.4559264841187512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6972777382600457 y2[1] (numeric) -0.6972777382599391 absolute error 1.0658141036401503e-13 relative error 1.5285359694685406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3799999999998485 y1[1] (closed_form) 0.7237378787024641 y1[1] (numeric) 0.7237378787025681 absolute error 1.0402789740737717e-13 relative error 1.4373698056799384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.690074983557046 y2[1] (numeric) -0.6900749835569375 absolute error 1.084687895058778e-13 relative error 1.5718406273296105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3899999999998474 y1[1] (closed_form) 0.730602326933733 y1[1] (numeric) 0.7306023269338365 absolute error 1.035838081975271e-13 relative error 1.417786453435733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6828032219307513 y2[1] (numeric) -0.6828032219306409 absolute error 1.1035616864774056e-13 relative error 1.6162221428259852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998463 y1[1] (closed_form) 0.7373937155411416 y1[1] (numeric) 0.7373937155412449 absolute error 1.0325074129013956e-13 relative error 1.4002118422499474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6754631805512643 y2[1] (numeric) -0.6754631805511521 absolute error 1.1224354778960333e-13 relative error 1.6617271084709345e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.409999999999845 y1[1] (closed_form) 0.744111365391489 y1[1] (numeric) 0.7441113653915918 absolute error 1.028066520802895e-13 relative error 1.3816030350000265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6680555934166063 y2[1] (numeric) -0.6680555934164923 absolute error 1.1390888232654106e-13 relative error 1.7050808862175984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.419999999999844 y1[1] (closed_form) 0.7507546047253879 y1[1] (numeric) 0.7507546047254904 absolute error 1.0247358517290195e-13 relative error 1.3649411475855666e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6605812012793177 y2[1] (numeric) -0.6605812012792021 absolute error 1.156852391659413e-13 relative error 1.751264476523082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.429999999999843 y1[1] (closed_form) 0.7573227692244411 y1[1] (numeric) 0.7573227692245431 absolute error 1.0202949596305189e-13 relative error 1.3472392500167164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6530407515723838 y2[1] (numeric) -0.6530407515722663 absolute error 1.1757261830780408e-13 relative error 1.8003871584539573e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.439999999999842 y1[1] (closed_form) 0.7638152020776721 y1[1] (numeric) 0.7638152020777736 absolute error 1.0158540675320182e-13 relative error 1.3299736176614045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6454349983344915 y2[1] (numeric) -0.6454349983343719 absolute error 1.1957101975212936e-13 relative error 1.8525648602984905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4499999999998407 y1[1] (closed_form) 0.7702312540472058 y1[1] (numeric) 0.7702312540473069 absolute error 1.0103029524088925e-13 relative error 1.3116878172629608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6377647021346264 y2[1] (numeric) -0.637764702134505 absolute error 1.2145839889399213e-13 relative error 1.9044390272378753e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4599999999998396 y1[1] (closed_form) 0.776570283533192 y1[1] (numeric) 0.7765702835332924 absolute error 1.0036416142611415e-13 relative error 1.292402806987198e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6300306299960167 y2[1] (numeric) -0.6300306299958933 absolute error 1.233457780358549e-13 relative error 1.957774307522711e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4699999999998385 y1[1] (closed_form) 0.7828316566379647 y1[1] (numeric) 0.7828316566380644 absolute error 9.969802761133906e-14 relative error 1.2735564123647377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.6222335553194311 y2[1] (numeric) -0.622233555319306 absolute error 1.2512213487525514e-13 relative error 2.0108548278310414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4799999999998374 y1[1] (closed_form) 0.7890147472294312 y1[1] (numeric) 0.7890147472295304 absolute error 9.914291609902648e-14 relative error 1.256540723062018e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.61437425780584 y2[1] (numeric) -0.6143742578057129 absolute error 1.2712053631958042e-13 relative error 2.0691058374349105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4899999999998363 y1[1] (closed_form) 0.7951189370036849 y1[1] (numeric) 0.7951189370037833 absolute error 9.847678228425139e-14 relative error 1.2385163741081294e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.606453523378445 y2[1] (numeric) -0.606453523378316 absolute error 1.290079154614432e-13 relative error 2.127251479103674e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998352 y1[1] (closed_form) 0.8011436155468351 y1[1] (numeric) 0.8011436155469328 absolute error 9.769962616701378e-14 relative error 1.2195020252433407e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5984721441040884 y2[1] (numeric) -0.5984721441039577 absolute error 1.3078427230084344e-13 relative error 2.185302584076444e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.509999999999834 y1[1] (closed_form) 0.8070881803960481 y1[1] (numeric) 0.8070881803961449 absolute error 9.681144774731365e-14 relative error 1.199515122372466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5904309181140467 y2[1] (numeric) -0.5904309181139139 absolute error 1.3278267374516872e-13 relative error 2.2489112556859807e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.519999999999833 y1[1] (closed_form) 0.8129520370997928 y1[1] (numeric) 0.8129520370998887 absolute error 9.592326932761353e-14 relative error 1.1799376217792612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5823306495242176 y2[1] (numeric) -0.5823306495240831 absolute error 1.3455903058456897e-13 relative error 2.3106980663735956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.529999999999832 y1[1] (closed_form) 0.8187345992772852 y1[1] (numeric) 0.8187345992773803 absolute error 9.514611321037592e-14 relative error 1.1621117917132542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5741721483547101 y2[1] (numeric) -0.5741721483545736 absolute error 1.3644640972643174e-13 relative error 2.3764024451102136e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.539999999999831 y1[1] (closed_form) 0.8244352886771266 y1[1] (numeric) 0.8244352886772208 absolute error 9.425793479067579e-14 relative error 1.1433030109848925e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5659562304488422 y2[1] (numeric) -0.5659562304487039 absolute error 1.383337888682945e-13 relative error 2.4442488910950993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5499999999998297 y1[1] (closed_form) 0.8300535352351273 y1[1] (numeric) 0.8300535352352209 absolute error 9.35918009759007e-14 relative error 1.1275393333441942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5576837173915582 y2[1] (numeric) -0.557683717391418 absolute error 1.4022116801015727e-13 relative error 2.5143493280745342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5599999999998286 y1[1] (closed_form) 0.8355887771313135 y1[1] (numeric) 0.8355887771314062 absolute error 9.270362255620057e-14 relative error 1.1094407332092747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5493554364272699 y2[1] (numeric) -0.5493554364271277 absolute error 1.4221956945448255e-13 relative error 2.5888443077838048e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5699999999998275 y1[1] (closed_form) 0.8410404608461082 y1[1] (numeric) 0.8410404608462 absolute error 9.181544413650045e-14 relative error 1.0916887880058917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5409722203771336 y2[1] (numeric) -0.5409722203769896 absolute error 1.439959262938828e-13 relative error 2.6617989033429005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5799999999998264 y1[1] (closed_form) 0.8464080412156831 y1[1] (numeric) 0.8464080412157742 absolute error 9.103828801926284e-14 relative error 1.0755839215386696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5325349075557682 y2[1] (numeric) -0.5325349075556224 absolute error 1.4577228313328305e-13 relative error 2.7373282213995986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998253 y1[1] (closed_form) 0.8516909814864742 y1[1] (numeric) 0.8516909814865643 absolute error 9.015010959956271e-14 relative error 1.0584837876552577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5240443416874248 y2[1] (numeric) -0.5240443416872772 absolute error 1.475486399726833e-13 relative error 2.8155754816009678e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998242 y1[1] (closed_form) 0.8568887533688566 y1[1] (numeric) 0.8568887533689459 absolute error 8.926193117986259e-14 relative error 1.0416980130609658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5155013718216148 y2[1] (numeric) -0.5155013718214655 absolute error 1.4932499681208355e-13 relative error 2.8966944604709277e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.609999999999823 y1[1] (closed_form) 0.8620008370899739 y1[1] (numeric) 0.8620008370900624 absolute error 8.848477506262498e-14 relative error 1.0265045143266968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.5069068522482059 y2[1] (numeric) -0.5069068522480545 absolute error 1.5132339825640884e-13 relative error 2.9852308680631854e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.619999999999822 y1[1] (closed_form) 0.8670267214457137 y1[1] (numeric) 0.8670267214458013 absolute error 8.759659664292485e-14 relative error 1.0103102300799094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) -0.49826164241199294 y2[1] (numeric) -0.4982616424118398 absolute error 1.5315526624704034e-13 relative error 3.07379202431967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.629999999999821 y1[1] (closed_form) 0.8719659038518289 y1[1] (numeric) 0.8719659038519153 absolute error 8.637535131583718e-14 relative error 9.905817525006659e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.48956660682675557 y2[1] (numeric) -0.48956660682660064 absolute error 1.549316230864406e-13 relative error 3.164668932194281e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.63999999999982 y1[1] (closed_form) 0.8768178903941948 y1[1] (numeric) 0.8768178903942802 absolute error 8.537615059367454e-14 relative error 9.737044776229602e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.48082261498880635 y2[1] (numeric) -0.4808226149886495 absolute error 1.5687451337953462e-13 relative error 3.262627598811813e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6499999999998187 y1[1] (closed_form) 0.8815821958782003 y1[1] (numeric) 0.8815821958782847 absolute error 8.43769498715119e-14 relative error 9.571081433587555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.4720305412900424 y2[1] (numeric) -0.4720305412898837 absolute error 1.5870638137016613e-13 relative error 3.362205778813111e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6599999999998176 y1[1] (closed_form) 0.8862583438772675 y1[1] (numeric) 0.8862583438773508 absolute error 8.326672684688674e-14 relative error 9.395310907043808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.46319126493050694 y2[1] (numeric) -0.4631912649303464 absolute error 1.6053824936079764e-13 relative error 3.465917030729916e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6699999999998165 y1[1] (closed_form) 0.8908458667804932 y1[1] (numeric) 0.8908458667805752 absolute error 8.204548151979907e-14 relative error 9.209840285425638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.4543056698304698 y2[1] (numeric) -0.45430566983030757 absolute error 1.6225909504896663e-13 relative error 3.571584195933891e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6799999999998154 y1[1] (closed_form) 0.8953443058394098 y1[1] (numeric) 0.8953443058394908 absolute error 8.093525849517391e-14 relative error 9.03956812673253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.4453746445420365 y2[1] (numeric) -0.4453746445418724 absolute error 1.6409096303959814e-13 relative error 3.684335537518694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998143 y1[1] (closed_form) 0.8997532112138603 y1[1] (numeric) 0.8997532112139401 absolute error 7.982503547054876e-14 relative error 8.871881142036326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.43639908216029333 y2[1] (numeric) -0.43639908216012757 absolute error 1.6575629757653587e-13 relative error 3.7982732859106263e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.699999999999813 y1[1] (closed_form) 0.9040721420169813 y1[1] (numeric) 0.90407214201706 absolute error 7.87148124459236e-14 relative error 8.706695935825561e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.4273798802339988 y2[1] (numeric) -0.4273798802338313 absolute error 1.6753265441593612e-13 relative error 3.91999394833956e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.709999999999812 y1[1] (closed_form) 0.9083006663592916 y1[1] (numeric) 0.9083006663593689 absolute error 7.72715225139109e-14 relative error 8.507262559173882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.4183179406758296 y2[1] (numeric) -0.4183179406756603 absolute error 1.6930901125533637e-13 relative error 4.0473762846939505e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.719999999999811 y1[1] (closed_form) 0.9124383613918806 y1[1] (numeric) 0.9124383613919568 absolute error 7.616129948928574e-14 relative error 8.347007612997042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.40921416967218993 y2[1] (numeric) -0.4092141696720188 absolute error 1.7114087924596788e-13 relative error 4.182183607744181e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.72999999999981 y1[1] (closed_form) 0.9164848133486933 y1[1] (numeric) 0.9164848133487682 absolute error 7.494005416219807e-14 relative error 8.176900813923882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.4000694775925937 y2[1] (numeric) -0.4000694775924208 absolute error 1.7291723608536813e-13 relative error 4.3221801654525736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.739999999999809 y1[1] (closed_form) 0.9204396175879058 y1[1] (numeric) 0.9204396175879794 absolute error 7.360778653264788e-14 relative error 7.99702502218925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.3908847788986284 y2[1] (numeric) -0.39088477889845374 absolute error 1.7463808177353712e-13 relative error 4.4677636787393955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7499999999998077 y1[1] (closed_form) 0.9243023786323902 y1[1] (numeric) 0.9243023786324625 absolute error 7.227551890309769e-14 relative error 7.81946693786913e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.3816609920525094 y2[1] (numeric) -0.38166099205233306 absolute error 1.7635892746170612e-13 relative error 4.620826627140413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7599999999998066 y1[1] (closed_form) 0.9280727102092606 y1[1] (numeric) 0.9280727102093318 absolute error 7.116529587847253e-14 relative error 7.668073319646073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.372399039425235 y2[1] (numeric) -0.372399039425057 absolute error 1.7802426199864385e-13 relative error 4.7804704940541354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7699999999998055 y1[1] (closed_form) 0.9317502352885015 y1[1] (numeric) 0.9317502352885714 absolute error 6.983302824892235e-14 relative error 7.49482271150698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.36309984720434957 y2[1] (numeric) -0.36309984720416977 absolute error 1.798006188380441e-13 relative error 4.9518230377236655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7799999999998044 y1[1] (closed_form) 0.9353345861206696 y1[1] (numeric) 0.9353345861207382 absolute error 6.861178292183467e-14 relative error 7.335533609037624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.3537643453013259 y2[1] (numeric) -0.35376434530114437 absolute error 1.815214645262131e-13 relative error 5.131140742055239e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998033 y1[1] (closed_form) 0.9388254042736685 y1[1] (numeric) 0.9388254042737356 absolute error 6.716849298982197e-14 relative error 7.154524439162097e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.3443934672585747 y2[1] (numeric) -0.34439346725839154 absolute error 1.8318679906315083e-13 relative error 5.31911364409279e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.799999999999802 y1[1] (closed_form) 0.9422223406685919 y1[1] (numeric) 0.9422223406686577 absolute error 6.583622536027178e-14 relative error 6.987334360333149e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.3349881501560913 y2[1] (numeric) -0.33498815015590644 absolute error 1.8485213360008856e-13 relative error 5.518169329689864e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.809999999999801 y1[1] (closed_form) 0.9455250556146312 y1[1] (numeric) 0.9455250556146954 absolute error 6.417089082333405e-14 relative error 6.786799613852672e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.32554933451774815 y2[1] (numeric) -0.3255493345175616 absolute error 1.8657297928825756e-13 relative error 5.731020140607477e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998 y1[1] (closed_form) 0.9487332188430438 y1[1] (numeric) 0.9487332188431067 absolute error 6.283862319378386e-14 relative error 6.623423945291382e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.31607796421724343 y2[1] (numeric) -0.3160779642170551 absolute error 1.883493361276578e-13 relative error 5.95895182361411e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.829999999999799 y1[1] (closed_form) 0.9518465095401807 y1[1] (numeric) 0.9518465095402421 absolute error 6.139533326177116e-14 relative error 6.450129579340486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.3065749863837144 y2[1] (numeric) -0.3065749863835244 absolute error 1.9001467066459554e-13 relative error 6.197983498457046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.839999999999798 y1[1] (closed_form) 0.9548646163795663 y1[1] (numeric) 0.9548646163796263 absolute error 5.995204332975845e-14 relative error 6.278590943820987e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.29704135130702536 y2[1] (numeric) -0.2970413513068335 absolute error 1.9184653865522705e-13 relative error 6.45858018794603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8499999999997967 y1[1] (closed_form) 0.9577872375530319 y1[1] (numeric) 0.9577872375530904 absolute error 5.850875339774575e-14 relative error 6.108742224131606e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.28747801234273923 y2[1] (numeric) -0.2874780123425457 absolute error 1.9351187319216478e-13 relative error 6.731362569790366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8599999999997956 y1[1] (closed_form) 0.9606140808008955 y1[1] (numeric) 0.9606140808009527 absolute error 5.717648576819556e-14 relative error 5.95207658423304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.277885925816783 y2[1] (numeric) -0.27788592581658794 absolute error 1.9506618542664e-13 relative error 7.01964969450277e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8699999999997945 y1[1] (closed_form) 0.9633448634411881 y1[1] (numeric) 0.9633448634412436 absolute error 5.551115123125783e-14 relative error 5.762334272792515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.268266050929816 y2[1] (numeric) -0.2682660509296193 absolute error 1.9667600881234648e-13 relative error 7.331378984804941e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8799999999997934 y1[1] (closed_form) 0.9659793123979213 y1[1] (numeric) 0.9659793123979753 absolute error 5.395683899678261e-14 relative error 5.58571372122262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.2586193496613103 y2[1] (numeric) -0.258619349661112 absolute error 1.9828583219805296e-13 relative error 7.667091903901601e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997923 y1[1] (closed_form) 0.9685171642283948 y1[1] (numeric) 0.968517164228447 absolute error 5.218048215738236e-14 relative error 5.3876672592533636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.24894678667335388 y2[1] (numeric) -0.24894678667315404 absolute error 1.9984014443252818e-13 relative error 8.027424137622667e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.899999999999791 y1[1] (closed_form) 0.9709581651495406 y1[1] (numeric) 0.970958165149591 absolute error 5.040412531798211e-14 relative error 5.191173742302192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.23924932921418507 y2[1] (numeric) -0.23924932921398367 absolute error 2.013944566670034e-13 relative error 8.417764736414682e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.90999999999979 y1[1] (closed_form) 0.9733020710633004 y1[1] (numeric) 0.973302071063349 absolute error 4.8627768478581856e-14 relative error 4.996164081461126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.22952794702146864 y2[1] (numeric) -0.22952794702126567 absolute error 2.0297652447709424e-13 relative error 8.843216136033712e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.919999999999789 y1[1] (closed_form) 0.9755486475810363 y1[1] (numeric) 0.9755486475810832 absolute error 4.6851411639181606e-14 relative error 4.80257050792434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.21978361222532272 y2[1] (numeric) -0.21978361222511825 absolute error 2.044753255603382e-13 relative error 9.303483707907648e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.929999999999788 y1[1] (closed_form) 0.9776976700469686 y1[1] (numeric) 0.9776976700470139 absolute error 4.529709940470639e-14 relative error 4.633037470829844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.21001729925110668 y2[1] (numeric) -0.21001729925090068 absolute error 2.060018822191978e-13 relative error 9.808805415257347e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.939999999999787 y1[1] (closed_form) 0.9797489235606416 y1[1] (numeric) 0.979748923560685 absolute error 4.340972026284362e-14 relative error 4.430698439053378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.20022998472197936 y2[1] (numeric) -0.2002299847217718 absolute error 2.0755619445367302e-13 relative error 1.0365889741332505e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9499999999997857 y1[1] (closed_form) 0.9817022029984133 y1[1] (numeric) 0.9817022029984548 absolute error 4.1522341120980855e-14 relative error 4.229626967746345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.19042264736123762 y2[1] (numeric) -0.1904226473610285 absolute error 2.0911050668814823e-13 relative error 1.0981388484294054e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9599999999997846 y1[1] (closed_form) 0.9835573130339675 y1[1] (numeric) 0.9835573130340071 absolute error 3.952393967665557e-14 relative error 4.018468385409748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.18059626789444477 y2[1] (numeric) -0.18059626789423416 absolute error 2.106093077713922e-13 relative error 1.166188594187835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9699999999997835 y1[1] (closed_form) 0.9853140681578467 y1[1] (numeric) 0.9853140681578844 absolute error 3.7636560534792807e-14 relative error 3.819752681006423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.17075182895135885 y2[1] (numeric) -0.17075182895114677 absolute error 2.1208035327902053e-13 relative error 1.2420385455398825e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9799999999997824 y1[1] (closed_form) 0.9869722926960026 y1[1] (numeric) 0.9869722926960384 absolute error 3.574918139293004e-14 relative error 3.6221058744494207e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.16089031496767053 y2[1] (numeric) -0.16089031496745695 absolute error 2.135791543622645e-13 relative error 1.3274829774879943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997813 y1[1] (closed_form) 0.988531820827363 y1[1] (numeric) 0.9885318208273968 absolute error 3.375077994860476e-14 relative error 3.414233030997086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.15101271208656025 y2[1] (numeric) -0.15101271208634523 absolute error 2.150224442942772e-13 relative error 1.4238698274025214e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.99999999999978 y1[1] (closed_form) 0.9899924966004144 y1[1] (numeric) 0.9899924966004461 absolute error 3.164135620181696e-14 relative error 3.1961208100537955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.14112000806008484 y2[1] (numeric) -0.14112000805986835 absolute error 2.1649348980190553e-13 relative error 1.534109108821258e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.009999999999779 y1[1] (closed_form) 0.9913541739487969 y1[1] (numeric) 0.9913541739488263 absolute error 2.942091015256665e-14 relative error 2.9677496626030474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.13121319215040303 y2[1] (numeric) -0.13121319215018512 absolute error 2.179090241583026e-13 relative error 1.660724966652168e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.019999999999778 y1[1] (closed_form) 0.9926167167059102 y1[1] (numeric) 0.9926167167059377 absolute error 2.7422508708241367e-14 relative error 2.762648285759833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.12129325503085016 y2[1] (numeric) -0.12129325503063088 absolute error 2.1928292515127623e-13 relative error 1.807874024779886e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.029999999999777 y1[1] (closed_form) 0.9937799986185307 y1[1] (numeric) 0.9937799986185563 absolute error 2.55351295663786e-14 relative error 2.5694952204587926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.11136118868687156 y2[1] (numeric) -0.11136118868665094 absolute error 2.2061519278082642e-13 relative error 1.9810779265400828e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0399999999997758 y1[1] (closed_form) 0.9948439033594367 y1[1] (numeric) 0.9948439033594603 absolute error 2.353672812205332e-14 relative error 2.3658714741652798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.10141798631682497 y2[1] (numeric) -0.10141798631660301 absolute error 2.2196133819818442e-13 relative error 2.1885796224033452e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0499999999997747 y1[1] (closed_form) 0.9958083245390407 y1[1] (numeric) 0.995808324539062 absolute error 2.1316282072803006e-14 relative error 2.1406009115931327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.0914646422326614 y2[1] (numeric) -0.09146464223243814 absolute error 2.2326585025211898e-13 relative error 2.4410072001833323e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0599999999997736 y1[1] (closed_form) 0.9966731657160282 y1[1] (numeric) 0.9966731657160472 absolute error 1.9095836023552692e-14 relative error 1.9159576760385532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.08150215176049486 y2[1] (numeric) -0.08150215176027027 absolute error 2.2458424009386135e-13 relative error 2.7555620955116947e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0699999999997725 y1[1] (closed_form) 0.9974383404070023 y1[1] (numeric) 0.9974383404070193 absolute error 1.6986412276764895e-14 relative error 1.7030037435530733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.0715315111410705 y2[1] (numeric) -0.07153151114084463 absolute error 2.2586099657218028e-13 relative error 3.1575034969798093e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0799999999997714 y1[1] (closed_form) 0.9981037720951316 y1[1] (numeric) 0.9981037720951463 absolute error 1.4765966227514582e-14 relative error 1.4794019059279943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.061553717430141416 y2[1] (numeric) -0.061553717429914306 absolute error 2.2710999747488358e-13 relative error 3.689622771080161e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997703 y1[1] (closed_form) 0.9986693942378018 y1[1] (numeric) 0.9986693942378143 absolute error 1.2545520178264269e-14 relative error 1.256223556128821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.05156976839876393 y2[1] (numeric) -0.05156976839853557 absolute error 2.283589983775869e-13 relative error 4.428156368898108e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.099999999999769 y1[1] (closed_form) 0.9991351502732698 y1[1] (numeric) 0.9991351502732803 absolute error 1.0436096431476471e-14 relative error 1.0445129899215469e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) -0.041580662433521216 y2[1] (numeric) -0.04158066243329166 absolute error 2.2955942702296284e-13 relative error 5.5208217856072e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.109999999999768 y1[1] (closed_form) 0.9995009936263205 y1[1] (numeric) 0.9995009936263287 absolute error 8.215650382226158e-15 relative error 8.219752090909587e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.03158739843668559 y2[1] (numeric) -0.03158739843645485 absolute error 2.3074597788053097e-13 relative error 7.30500102257686e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.119999999999767 y1[1] (closed_form) 0.9997668877129233 y1[1] (numeric) 0.9997668877129291 absolute error 5.773159728050814e-15 relative error 5.774505836313054e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.02159097572632905 y2[1] (numeric) -0.021590975726097132 absolute error 2.319186509502913e-13 relative error 1.0741462261359443e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.129999999999766 y1[1] (closed_form) 0.9999328059438911 y1[1] (numeric) 0.9999328059438947 absolute error 3.552713678800501e-15 relative error 3.5529524160844993e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.011592393936392295 y2[1] (numeric) -0.011592393936159224 absolute error 2.330705073383399e-13 relative error 2.0105468173114423e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1399999999997648 y1[1] (closed_form) 0.9999987317275392 y1[1] (numeric) 0.9999987317275403 absolute error 1.1102230246251565e-15 relative error 1.1102244326922299e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) -0.001592652916722195 y2[1] (numeric) -0.0015926529164879953 absolute error 2.341998123212008e-13 relative error 1.470501261525345e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1499999999997637 y1[1] (closed_form) 0.999964658471344 y1[1] (numeric) 0.9999646584713426 absolute error 1.3322676295501878e-15 relative error 1.3323147155888876e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 0.00840724736691237 y2[1] (numeric) 0.00840724736714768 absolute error 2.3531003534582595e-13 relative error 2.798895108902279e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1599999999997626 y1[1] (closed_form) 0.9998305895826027 y1[1] (numeric) 0.999830589582599 absolute error 3.774758283725532e-15 relative error 3.7753978754554537e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 0.018406306932816262 y2[1] (numeric) 0.018406306933052657 absolute error 2.3639423751831146e-13 relative error 1.2843110700107286e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1699999999997615 y1[1] (closed_form) 0.9995965384680926 y1[1] (numeric) 0.9995965384680864 absolute error 6.217248937900877e-15 relative error 6.219758371141391e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 0.028403525883365408 y2[1] (numeric) 0.028403525883602863 absolute error 2.3745588828560926e-13 relative error 8.360084915537752e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1799999999997604 y1[1] (closed_form) 0.9992625285327301 y1[1] (numeric) 0.9992625285327214 absolute error 8.770761894538737e-15 relative error 8.777234854805683e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 0.03839790450499574 y2[1] (numeric) 0.03839790450523423 absolute error 2.3848978347729144e-13 relative error 6.211010380690509e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997593 y1[1] (closed_form) 0.9988285931772303 y1[1] (numeric) 0.9988285931772193 absolute error 1.099120794378905e-14 relative error 1.1004098219521826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.04838844336817373 y2[1] (numeric) 0.048388443368413234 absolute error 2.395028619872619e-13 relative error 4.94958806930311e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.199999999999758 y1[1] (closed_form) 0.9982947757947672 y1[1] (numeric) 0.9982947757947539 absolute error 1.3322676295501878e-14 relative error 1.3345433251311334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.058374143427338473 y2[1] (numeric) 0.05837414342757896 absolute error 2.404881849216167e-13 relative error 4.1197723992466914e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.209999999999757 y1[1] (closed_form) 0.9976611297666342 y1[1] (numeric) 0.9976611297666184 absolute error 1.587618925213974e-14 relative error 1.5913408649942475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.06835400612080543 y2[1] (numeric) 0.0683540061210469 absolute error 2.4147350785597155e-13 relative error 3.532689911827603e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.219999999999756 y1[1] (closed_form) 0.996927718456906 y1[1] (numeric) 0.9969277184568877 absolute error 1.8318679906315083e-14 relative error 1.8375133489787646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0783270334706218 y2[1] (numeric) 0.0783270334708642 absolute error 2.424033196390951e-13 relative error 3.0947593557212096e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.229999999999755 y1[1] (closed_form) 0.9960946152061025 y1[1] (numeric) 0.9960946152060817 absolute error 2.0872192862952943e-14 relative error 2.095402639902261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.08829222818236342 y2[1] (numeric) 0.08829222818260672 absolute error 2.4330537584660306e-13 relative error 2.755682814392987e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2399999999997537 y1[1] (closed_form) 0.9951619033238546 y1[1] (numeric) 0.995161903323831 absolute error 2.353672812205332e-14 relative error 2.3651154694970054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0982485937448634 y2[1] (numeric) 0.09824859374510758 absolute error 2.4417967647849537e-13 relative error 2.485324900553719e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2499999999997526 y1[1] (closed_form) 0.994129676080573 y1[1] (numeric) 0.9941296760805469 absolute error 2.609024107869118e-14 relative error 2.6244303642110164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.10819513452986247 y2[1] (numeric) 0.10819513453010748 absolute error 2.4501234374696423e-13 relative error 2.2645412366425722e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2599999999997515 y1[1] (closed_form) 0.992998036698122 y1[1] (numeric) 0.9929980366980934 absolute error 2.864375403532904e-14 relative error 2.8845730783692305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.11813085589157087 y2[1] (numeric) 0.11813085589181668 absolute error 2.4581725543981747e-13 relative error 2.0808894812837596e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2699999999997504 y1[1] (closed_form) 0.9917670983394969 y1[1] (numeric) 0.9917670983394657 absolute error 3.11972669919669e-14 relative error 3.1456243148416685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.12805476426613216 y2[1] (numeric) 0.1280547642663788 absolute error 2.4663604492047853e-13 relative error 1.9260200612911415e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2799999999997493 y1[1] (closed_form) 0.9904369840975077 y1[1] (numeric) 0.990436984097474 absolute error 3.3639757646142243e-14 relative error 3.3964561285839907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1379658672709788 y2[1] (numeric) 0.1379658672712262 absolute error 2.4741320103771614e-13 relative error 1.793292833449681e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997482 y1[1] (closed_form) 0.9890078269824701 y1[1] (numeric) 0.9890078269824338 absolute error 3.630429290524262e-14 relative error 3.670779129828474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1478631738040695 y2[1] (numeric) 0.14786317380431768 absolute error 2.4819035715495374e-13 relative error 1.6785136607700966e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.299999999999747 y1[1] (closed_form) 0.9874797699089047 y1[1] (numeric) 0.9874797699088657 absolute error 3.907985046680551e-14 relative error 3.957534286541448e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1577456941429987 y2[1] (numeric) 0.15774569414324763 absolute error 2.4893975769657573e-13 relative error 1.578108100186293e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.309999999999746 y1[1] (closed_form) 0.9858529656812456 y1[1] (numeric) 0.9858529656812037 absolute error 4.18554080283684e-14 relative error 4.2456035012731756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1676124400439679 y2[1] (numeric) 0.16761244004421755 absolute error 2.496614026625821e-13 relative error 1.4895159487988553e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.319999999999745 y1[1] (closed_form) 0.9841275769785598 y1[1] (numeric) 0.984127576978515 absolute error 4.474198789239381e-14 relative error 4.546360547050147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.17746242484060928 y2[1] (numeric) 0.17746242484085958 absolute error 2.5029978090174154e-13 relative error 1.4104381878392132e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.329999999999744 y1[1] (closed_form) 0.9823037763382797 y1[1] (numeric) 0.9823037763382323 absolute error 4.7406523151494184e-14 relative error 4.826055268586143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.18729466354265148 y2[1] (numeric) 0.18729466354290242 absolute error 2.50938159140901e-13 relative error 1.33980410543708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3399999999997427 y1[1] (closed_form) 0.9803817461389496 y1[1] (numeric) 0.9803817461388995 absolute error 5.007105841059456e-14 relative error 5.107302192007356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.19710817293441776 y2[1] (numeric) 0.1971081729346693 absolute error 2.5154878180444484e-13 relative error 1.2761966084893937e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3499999999997416 y1[1] (closed_form) 0.9783616785819875 y1[1] (numeric) 0.9783616785819349 absolute error 5.262457136723242e-14 relative error 5.3788463427456734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2069019716731469 y2[1] (numeric) 0.20690197167339905 absolute error 2.521594044679887e-13 relative error 1.2187385283419975e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3599999999997405 y1[1] (closed_form) 0.9762437756724661 y1[1] (numeric) 0.9762437756724106 absolute error 5.551115123125783e-14 relative error 5.686197711531638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.21667508038712643 y2[1] (numeric) 0.21667508038737915 absolute error 2.5271451598030126e-13 relative error 1.1663293975882428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3699999999997394 y1[1] (closed_form) 0.9740282491989112 y1[1] (numeric) 0.9740282491988529 absolute error 5.828670879282072e-14 relative error 5.984088124831962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.22642652177362924 y2[1] (numeric) 0.2264265217738825 absolute error 2.5326962749261384e-13 relative error 1.118551066848172e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997383 y1[1] (closed_form) 0.9717153207121239 y1[1] (numeric) 0.9717153207120628 absolute error 6.106226635438361e-14 relative error 6.2839666158226246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.23615532069664283 y2[1] (numeric) 0.2361553206968966 absolute error 2.5376922785369516e-13 relative error 1.0745861118228988e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997372 y1[1] (closed_form) 0.9693052215030254 y1[1] (numeric) 0.9693052215029616 absolute error 6.38378239159465e-14 relative error 6.585936245856408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2458605042843822 y2[1] (numeric) 0.2458605042846364 absolute error 2.542133170635452e-13 relative error 1.0339737885248193e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.399999999999736 y1[1] (closed_form) 0.9667981925795285 y1[1] (numeric) 0.9667981925794616 absolute error 6.683542608243442e-14 relative error 6.913068993655216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2555411020265762 y2[1] (numeric) 0.2555411020268309 absolute error 2.546851618490109e-13 relative error 9.966504794305995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.409999999999735 y1[1] (closed_form) 0.964194484642436 y1[1] (numeric) 0.9641944846423662 absolute error 6.972200594645983e-14 relative error 7.231114371320605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.26519614587151774 y2[1] (numeric) 0.26519614587177276 absolute error 2.5501822875639846e-13 relative error 9.616211725789926e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.419999999999734 y1[1] (closed_form) 0.961494358060372 y1[1] (numeric) 0.9614943580602994 absolute error 7.260858581048524e-14 relative error 7.551639299991208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2748246703228682 y2[1] (numeric) 0.2748246703231235 absolute error 2.5529578451255475e-13 relative error 9.289405649522997e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.429999999999733 y1[1] (closed_form) 0.9586980828437446 y1[1] (numeric) 0.9586980828436692 absolute error 7.538414337204813e-14 relative error 7.863178692132085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.28442571253620624 y2[1] (numeric) 0.28442571253646176 absolute error 2.555178291174798e-13 relative error 8.983640291837306e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4399999999997317 y1[1] (closed_form) 0.9558059386177453 y1[1] (numeric) 0.9558059386176672 absolute error 7.815970093361102e-14 relative error 8.17736088213084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2939983124153112 y2[1] (numeric) 0.2939983124155671 absolute error 2.559064071760986e-13 relative error 8.704349527510117e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4499999999997306 y1[1] (closed_form) 0.9528182145943865 y1[1] (numeric) 0.9528182145943055 absolute error 8.104628079763643e-14 relative error 8.505954184779908e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3035415127081725 y2[1] (numeric) 0.30354151270842866 absolute error 2.5618396293225487e-13 relative error 8.439832846802487e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4599999999997295 y1[1] (closed_form) 0.9497352095435808 y1[1] (numeric) 0.9497352095434971 absolute error 8.37108160567368e-14 relative error 8.814121579947125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.31305435910271334 y2[1] (numeric) 0.31305435910296975 absolute error 2.564060075371799e-13 relative error 8.190462776883196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4699999999997284 y1[1] (closed_form) 0.9465572317632642 y1[1] (numeric) 0.9465572317631776 absolute error 8.659739592076221e-14 relative error 9.148669833671545e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.32253590032222174 y2[1] (numeric) 0.32253590032247825 absolute error 2.565170298396424e-13 relative error 7.953131095898945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997273 y1[1] (closed_form) 0.9432845990485663 y1[1] (numeric) 0.9432845990484768 absolute error 8.948397578478762e-14 relative error 9.486423914377977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3319851882204769 y2[1] (numeric) 0.3319851882207336 absolute error 2.566835632933362e-13 relative error 7.731777573247285e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.489999999999726 y1[1] (closed_form) 0.9399176386600315 y1[1] (numeric) 0.9399176386599389 absolute error 9.259260025373806e-14 relative error 9.851139764303202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 0.34140127787656344 y2[1] (numeric) 0.34140127787682034 absolute error 2.569056078982612e-13 relative error 7.525033576211383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.499999999999725 y1[1] (closed_form) 0.9364566872908928 y1[1] (numeric) 0.9364566872907973 absolute error 9.547918011776346e-14 relative error 1.0195792439047919e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.35078322768936243 y2[1] (numeric) 0.35078322768961945 absolute error 2.5701663020072374e-13 relative error 7.326936122166191e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.509999999999724 y1[1] (closed_form) 0.9329020910334029 y1[1] (numeric) 0.9329020910333047 absolute error 9.825473767932635e-14 relative error 1.0532159657878643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3601300994717109 y2[1] (numeric) 0.36013009947196795 absolute error 2.57072141351955e-13 relative error 7.138313118760812e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.519999999999723 y1[1] (closed_form) 0.9292542053442256 y1[1] (numeric) 0.9292542053441243 absolute error 1.0136336214827679e-13 relative error 1.090803372912674e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3694409585442196 y2[1] (numeric) 0.36944095854447667 absolute error 2.57072141351955e-13 relative error 6.958409331898298e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.529999999999722 y1[1] (closed_form) 0.9255133950088898 y1[1] (numeric) 0.9255133950087854 absolute error 1.0447198661722723e-13 relative error 1.1288003737236429e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3787148738287403 y2[1] (numeric) 0.3787148738289974 absolute error 2.57072141351955e-13 relative error 6.788012806389175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5399999999997207 y1[1] (closed_form) 0.9216800341053117 y1[1] (numeric) 0.9216800341052043 absolute error 1.0746958878371515e-13 relative error 1.1660184099359108e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.38795091794147285 y2[1] (numeric) 0.38795091794172987 absolute error 2.5701663020072374e-13 relative error 6.624978014345048e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5499999999997196 y1[1] (closed_form) 0.9177545059663873 y1[1] (numeric) 0.9177545059662768 absolute error 1.1046719095020308e-13 relative error 1.203668194839121e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3971481672857026 y2[1] (numeric) 0.3971481672859596 absolute error 2.569611190494925e-13 relative error 6.470157493252094e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5599999999997185 y1[1] (closed_form) 0.9137372031416591 y1[1] (numeric) 0.9137372031415455 absolute error 1.1357581541915351e-13 relative error 1.2429811879022896e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4063057021441595 y2[1] (numeric) 0.4063057021444164 absolute error 2.569056078982612e-13 relative error 6.322963387974056e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5699999999997174 y1[1] (closed_form) 0.9096285273580619 y1[1] (numeric) 0.9096285273579452 absolute error 1.1668443988810395e-13 relative error 1.2827702339877566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.41542260677098897 y2[1] (numeric) 0.41542260677124576 absolute error 2.567945855957987e-13 relative error 6.181526508434878e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997163 y1[1] (closed_form) 0.9054288894797501 y1[1] (numeric) 0.9054288894796302 absolute error 1.199040866595169e-13 relative error 1.3242794442798543e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4244979694833257 y2[1] (numeric) 0.4244979694835823 absolute error 2.5662805214210493e-13 relative error 6.045448284580907e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.589999999999715 y1[1] (closed_form) 0.9011387094670119 y1[1] (numeric) 0.901138709466889 absolute error 1.2290168882600483e-13 relative error 1.363848734216471e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4335308827524612 y2[1] (numeric) 0.4335308827527177 absolute error 2.5646151868841116e-13 relative error 5.915645894939539e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.599999999999714 y1[1] (closed_form) 0.8967584163342736 y1[1] (numeric) 0.8967584163341475 absolute error 1.2601031329495527e-13 relative error 1.4051756972636425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.442520443294596 y2[1] (numeric) 0.44252044329485224 absolute error 2.5623947408348613e-13 relative error 5.790455061821893e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.609999999999713 y1[1] (closed_form) 0.8922884481071979 y1[1] (numeric) 0.8922884481070689 absolute error 1.290079154614432e-13 relative error 1.4458095443811508e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4514657521611672 y2[1] (numeric) 0.4514657521614231 absolute error 2.559064071760986e-13 relative error 5.6683459587150136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.619999999999712 y1[1] (closed_form) 0.8877292517788827 y1[1] (numeric) 0.8877292517787508 absolute error 1.318944953254686e-13 relative error 1.485751371391343e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.46036591482874245 y2[1] (numeric) 0.460365914828998 absolute error 2.5557334026871104e-13 relative error 5.551526123817944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.629999999999711 y1[1] (closed_form) 0.8830812832651618 y1[1] (numeric) 0.8830812832650268 absolute error 1.3500311979441904e-13 relative error 1.528773424970007e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.46922004128847183 y2[1] (numeric) 0.4692200412887271 absolute error 2.552402733613235e-13 relative error 5.4396711756053125e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6399999999997097 y1[1] (closed_form) 0.8783450073590128 y1[1] (numeric) 0.8783450073588749 absolute error 1.3788969965844444e-13 relative error 1.569880838430994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4780272461350878 y2[1] (numeric) 0.47802724613534253 absolute error 2.5474067300024217e-13 relative error 5.328999027981219e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6499999999997086 y1[1] (closed_form) 0.8735208976840797 y1[1] (numeric) 0.8735208976839387 absolute error 1.4099832412739488e-13 relative error 1.6141379616814705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4867866486554449 y2[1] (numeric) 0.48678664865569926 absolute error 2.5435209494162336e-13 relative error 5.225124716221576e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6599999999997075 y1[1] (closed_form) 0.8686094366473098 y1[1] (numeric) 0.8686094366471657 absolute error 1.4410694859634532e-13 relative error 1.659053453904145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.49549737291659074 y2[1] (numeric) 0.49549737291684465 absolute error 2.539080057317733e-13 relative error 5.1243057907093035e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6699999999997064 y1[1] (closed_form) 0.8636111153907141 y1[1] (numeric) 0.8636111153905668 absolute error 1.4732659536775827e-13 relative error 1.7059367664704608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.504158547853358 y2[1] (numeric) 0.5041585478536112 absolute error 2.532418719169982e-13 relative error 5.02306016619711e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997053 y1[1] (closed_form) 0.8585264337422528 y1[1] (numeric) 0.8585264337421024 absolute error 1.504352198367087e-13 relative error 1.752249132050283e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5127693073554707 y2[1] (numeric) 0.5127693073557233 absolute error 2.5268676040468563e-13 relative error 4.927883880333614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.689999999999704 y1[1] (closed_form) 0.8533559001658537 y1[1] (numeric) 0.8533559001657002 absolute error 1.5354384430565915e-13 relative error 1.7992943422060736e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5213287903541541 y2[1] (numeric) 0.5213287903544064 absolute error 2.5224267119483557e-13 relative error 4.8384565721659e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.699999999999703 y1[1] (closed_form) 0.8481000317105655 y1[1] (numeric) 0.8481000317104092 absolute error 1.5631940186722204e-13 relative error 1.8431717488789083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5298361409082414 y2[1] (numeric) 0.5298361409084931 absolute error 2.51687559682523e-13 relative error 4.750290519085428e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.709999999999702 y1[1] (closed_form) 0.8427593539588539 y1[1] (numeric) 0.8427593539586945 absolute error 1.5942802633617248e-13 relative error 1.891738437399251e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5382905082897665 y2[1] (numeric) 0.5382905082900176 absolute error 2.510214258677479e-13 relative error 4.663307674981719e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.719999999999701 y1[1] (closed_form) 0.8373344009740437 y1[1] (numeric) 0.8373344009738808 absolute error 1.6286971771251046e-13 relative error 1.9450976518228495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5466910470690366 y2[1] (numeric) 0.5466910470692871 absolute error 2.504663143554353e-13 relative error 4.581496545411804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999996998 y1[1] (closed_form) 0.8318257152469123 y1[1] (numeric) 0.8318257152467464 absolute error 1.6586731987899839e-13 relative error 1.9940152947755853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5550369171991741 y2[1] (numeric) 0.5550369171994237 absolute error 2.495781359357352e-13 relative error 4.496604247428365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7399999999996987 y1[1] (closed_form) 0.826233847641442 y1[1] (numeric) 0.8262338476412731 absolute error 1.6897594434794883e-13 relative error 2.045134616916333e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5633272841001209 y2[1] (numeric) 0.5633272841003698 absolute error 2.489120021209601e-13 relative error 4.4186036988884894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7499999999996976 y1[1] (closed_form) 0.8205593573397336 y1[1] (numeric) 0.8205593573395616 absolute error 1.7197354651443675e-13 relative error 2.0958087306685247e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5715613187420956 y2[1] (numeric) 0.5715613187423437 absolute error 2.481348460037225e-13 relative error 4.3413512753071356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7599999999996965 y1[1] (closed_form) 0.8148028117860884 y1[1] (numeric) 0.8148028117859132 absolute error 1.751931932858497e-13 relative error 2.1501299547778622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5797381977284957 y2[1] (numeric) 0.579738197728743 absolute error 2.473576898864849e-13 relative error 4.266713679651793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7699999999996954 y1[1] (closed_form) 0.8089647866302646 y1[1] (numeric) 0.8089647866300864 absolute error 1.7819079545233762e-13 relative error 2.202701506880043e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5878571033782364 y2[1] (numeric) 0.587857103378483 absolute error 2.4658053376924727e-13 relative error 4.1945658622176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996943 y1[1] (closed_form) 0.803045865669913 y1[1] (numeric) 0.8030458656697314 absolute error 1.816324868286756e-13 relative error 2.2617946818909907e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5959172238075185 y2[1] (numeric) 0.5959172238077642 absolute error 2.4569235534954714e-13 relative error 4.1229275733924055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.789999999999693 y1[1] (closed_form) 0.797046640792197 y1[1] (numeric) 0.7970466407920123 absolute error 1.8474111129762605e-13 relative error 2.31782058718683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.603917753011016 y2[1] (numeric) 0.6039177530112608 absolute error 2.44804176929847e-13 relative error 4.053601267876316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.799999999999692 y1[1] (closed_form) 0.7909677119146051 y1[1] (numeric) 0.7909677119144173 absolute error 1.8784973576657649e-13 relative error 2.37493557495375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6118578909424756 y2[1] (numeric) 0.6118578909427194 absolute error 2.438049762076844e-13 relative error 3.984666698212215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.809999999999691 y1[1] (closed_form) 0.7848096869249593 y1[1] (numeric) 0.7848096869247685 absolute error 1.908473379330644e-13 relative error 2.4317658295075624e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6197368435947207 y2[1] (numeric) 0.6197368435949635 absolute error 2.4280577548552174e-13 relative error 3.917885115191013e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.81999999999969 y1[1] (closed_form) 0.778573181620627 y1[1] (numeric) 0.7785731816204331 absolute error 1.9395596240201485e-13 relative error 2.4911718895619906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.627553823079052 y2[1] (numeric) 0.6275538230792937 absolute error 2.416955524608966e-13 relative error 3.851391602954995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8299999999996888 y1[1] (closed_form) 0.7722588196469414 y1[1] (numeric) 0.7722588196467446 absolute error 1.9684254226604025e-13 relative error 2.5489193164026542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6353080477040353 y2[1] (numeric) 0.6353080477042758 absolute error 2.405853294362714e-13 relative error 3.786908261365997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8399999999996877 y1[1] (closed_form) 0.7658672324348381 y1[1] (numeric) 0.7658672324346381 absolute error 2.000621890374532e-13 relative error 2.6122306917534167e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6429987420536697 y2[1] (numeric) 0.6429987420539092 absolute error 2.3947510641164627e-13 relative error 3.724347976899429e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8499999999996866 y1[1] (closed_form) 0.7593990591377119 y1[1] (numeric) 0.7593990591375086 absolute error 2.0328183580886616e-13 relative error 2.676877635846562e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6506251370649293 y2[1] (numeric) 0.6506251370651674 absolute error 2.381428387820961e-13 relative error 3.660215771194997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8599999999996855 y1[1] (closed_form) 0.7528549465675023 y1[1] (numeric) 0.7528549465672959 absolute error 2.063904602778166e-13 relative error 2.7414372611724784e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6581864701046682 y2[1] (numeric) 0.6581864701049053 absolute error 2.370326157574709e-13 relative error 3.601298819159512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8699999999996844 y1[1] (closed_form) 0.746235549130013 y1[1] (numeric) 0.7462355491298037 absolute error 2.09277040141842e-13 relative error 2.8044367543977818e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6656819850458836 y2[1] (numeric) 0.6656819850461195 absolute error 2.3592239273284576e-13 relative error 3.544070562711477e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996833 y1[1] (closed_form) 0.7395415287594717 y1[1] (numeric) 0.7395415287592593 absolute error 2.1238566461079245e-13 relative error 2.8718558235269666e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6731109323433275 y2[1] (numeric) 0.6731109323435621 absolute error 2.345901251032956e-13 relative error 3.485162903038995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.889999999999682 y1[1] (closed_form) 0.7327735548523369 y1[1] (numeric) 0.7327735548521213 absolute error 2.156053113822054e-13 relative error 2.9423184004730164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.680472569108461 y2[1] (numeric) 0.6804725691086944 absolute error 2.333688797762079e-13 relative error 3.42951193582957e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.899999999999681 y1[1] (closed_form) 0.7259323042003595 y1[1] (numeric) 0.725932304200141 absolute error 2.184918912462308e-13 relative error 3.0098108319743045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6877661591837423 y2[1] (numeric) 0.6877661591839742 absolute error 2.319255898441952e-13 relative error 3.372157625775746e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.90999999999968 y1[1] (closed_form) 0.7190184609229037 y1[1] (numeric) 0.719018460922682 absolute error 2.2171153801764376e-13 relative error 3.083530535962367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6949909732162417 y2[1] (numeric) 0.6949909732164723 absolute error 2.30593322214645e-13 relative error 3.3179326221679926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.919999999999679 y1[1] (closed_form) 0.7120327163985356 y1[1] (numeric) 0.7120327163983108 absolute error 2.248201624865942e-13 relative error 3.157441467349078e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7021462887305768 y2[1] (numeric) 0.7021462887308058 absolute error 2.289279876777073e-13 relative error 3.260403015041073e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9299999999996778 y1[1] (closed_form) 0.7049757691958863 y1[1] (numeric) 0.7049757691956585 absolute error 2.278177646530821e-13 relative error 3.231568723460339e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7092313902011588 y2[1] (numeric) 0.7092313902013863 absolute error 2.274846977456946e-13 relative error 3.207482083966606e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9399999999996766 y1[1] (closed_form) 0.6978483250037953 y1[1] (numeric) 0.6978483250035644 absolute error 2.3092638912203256e-13 relative error 3.309120060161735e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7162455691237449 y2[1] (numeric) 0.7162455691239709 absolute error 2.2593038551121936e-13 relative error 3.1543704457065285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9499999999996755 y1[1] (closed_form) 0.6906510965607423 y1[1] (numeric) 0.6906510965605084 absolute error 2.339239912885205e-13 relative error 3.387006731088959e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.723188124086288 y2[1] (numeric) 0.7231881240865122 absolute error 2.2426505097428162e-13 relative error 3.101061031078591e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9599999999996744 y1[1] (closed_form) 0.6833848035835739 y1[1] (numeric) 0.683384803583337 absolute error 2.369215934550084e-13 relative error 3.466884136325901e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7300583608390772 y2[1] (numeric) 0.7300583608392999 absolute error 2.227107387398064e-13 relative error 3.05058815412837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9699999999996733 y1[1] (closed_form) 0.6760501726955326 y1[1] (numeric) 0.6760501726952926 absolute error 2.4003021792395884e-13 relative error 3.5504793522486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7368555923641623 y2[1] (numeric) 0.7368555923643837 absolute error 2.2137847111025621e-13 relative error 3.004367116221173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996722 y1[1] (closed_form) 0.668647937353595 y1[1] (numeric) 0.6686479373533519 absolute error 2.4302782009044677e-13 relative error 3.6346155654396134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7435791389440555 y2[1] (numeric) 0.7435791389442753 absolute error 2.19824158875781e-13 relative error 2.956298090717683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.989999999999671 y1[1] (closed_form) 0.6611788377751268 y1[1] (numeric) 0.6611788377748806 absolute error 2.461364445593972e-13 relative error 3.72269090444045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7502283282297014 y2[1] (numeric) 0.7502283282299197 absolute error 2.1826984664130578e-13 relative error 2.909378897439833e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.99999999999967 y1[1] (closed_form) 0.6536436208638616 y1[1] (numeric) 0.6536436208636124 absolute error 2.4924506902834764e-13 relative error 3.813164560513005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7568024953077126 y2[1] (numeric) 0.7568024953079292 absolute error 2.1660451210436804e-13 relative error 2.8621009239180374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y1[1] (closed_form) 0.6460430401352083 y1[1] (numeric) 0.646043040134959 absolute error 2.4935609133081016e-13 relative error 3.8597442560270164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7633009827668622 y2[1] (numeric) 0.7633009827670743 absolute error 2.120525977034049e-13 relative error 2.778099366972424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y1[1] (closed_form) 0.6383778556409084 y1[1] (numeric) 0.6383778556406595 absolute error 2.489120021209601e-13 relative error 3.899132777264985e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7697231407638174 y2[1] (numeric) 0.7697231407640249 absolute error 2.0750068330244176e-13 relative error 2.6957833578516704e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y1[1] (closed_form) 0.6306488338930242 y1[1] (numeric) 0.6306488338927758 absolute error 2.483568906086475e-13 relative error 3.93811701950718e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7760683270881301 y2[1] (numeric) 0.776068327088333 absolute error 2.028377465990161e-13 relative error 2.6136583535122404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y1[1] (closed_form) 0.6228567477872895 y1[1] (numeric) 0.6228567477870418 absolute error 2.476907567938724e-13 relative error 3.9766889846469284e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7823359072264553 y2[1] (numeric) 0.7823359072266536 absolute error 1.9828583219805296e-13 relative error 2.5345357456622155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y1[1] (closed_form) 0.6150023765258217 y1[1] (numeric) 0.6150023765255747 absolute error 2.4702462297909733e-13 relative error 4.016645014846145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7885252544260022 y2[1] (numeric) 0.788525254426196 absolute error 1.9384494009955233e-13 relative error 2.4583225332543028e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y1[1] (closed_form) 0.6070865055392015 y1[1] (numeric) 0.6070865055389553 absolute error 2.462474668618597e-13 relative error 4.056217106047315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7946357497572086 y2[1] (numeric) 0.7946357497573979 absolute error 1.892930256985892e-13 relative error 2.3821357868234016e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y1[1] (closed_form) 0.599109926407931 y1[1] (numeric) 0.5991099264076857 absolute error 2.453592884421596e-13 relative error 4.095396814959391e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8006667821756336 y2[1] (numeric) 0.8006667821758184 absolute error 1.8485213360008856e-13 relative error 2.308727397155082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y1[1] (closed_form) 0.5910734367832764 y1[1] (numeric) 0.5910734367830317 absolute error 2.446931546273845e-13 relative error 4.139809698758362e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.806617748583061 y2[1] (numeric) 0.8066177485832412 absolute error 1.801891968966629e-13 relative error 2.2338858426211286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y1[1] (closed_form) 0.582977840307503 y1[1] (numeric) 0.5829778403072592 absolute error 2.438049762076844e-13 relative error 4.182062496219148e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8124880538878092 y2[1] (numeric) 0.8124880538879852 absolute error 1.759703494030873e-13 relative error 2.1658207595921875e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y1[1] (closed_form) 0.574823946533512 y1[1] (numeric) 0.5748239465332692 absolute error 2.4280577548552174e-13 relative error 4.224002443700669e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8182771110642397 y2[1] (numeric) 0.8182771110644115 absolute error 1.7175150190951172e-13 relative error 2.098940561665401e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y1[1] (closed_form) 0.5666125708438859 y1[1] (numeric) 0.5666125708436442 absolute error 2.416955524608966e-13 relative error 4.265622841740462e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8239843412114591 y2[1] (numeric) 0.8239843412116268 absolute error 1.6764367671839864e-13 relative error 2.0345493031083734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y1[1] (closed_form) 0.558344534369351 y1[1] (numeric) 0.5583445343691105 absolute error 2.405853294362714e-13 relative error 4.3089045316439256e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8296091736112087 y2[1] (numeric) 0.8296091736113721 absolute error 1.6342482922482304e-13 relative error 1.9699014237445148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y1[1] (closed_form) 0.5500206639066647 y1[1] (numeric) 0.5500206639064253 absolute error 2.3936408410918375e-13 relative error 4.351910752025899e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8351510457849357 y2[1] (numeric) 0.8351510457850949 absolute error 1.5920598173124745e-13 relative error 1.9063136247601066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y1[1] (closed_form) 0.5416417918359367 y1[1] (numeric) 0.5416417918356986 absolute error 2.381428387820961e-13 relative error 4.3966850854490473e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8406094035500411 y2[1] (numeric) 0.8406094035501962 absolute error 1.5509815654013437e-13 relative error 1.8450680647293215e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y1[1] (closed_form) 0.5332087560373918 y1[1] (numeric) 0.5332087560371549 absolute error 2.369215934550084e-13 relative error 4.443317758240152e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8459837010752969 y2[1] (numeric) 0.8459837010754478 absolute error 1.509903313490213e-13 relative error 1.784790075235532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y1[1] (closed_form) 0.5247223998075822 y1[1] (numeric) 0.5247223998073468 absolute error 2.353672812205332e-13 relative error 4.485558102852924e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8512734009354291 y2[1] (numeric) 0.851273400935576 absolute error 1.468825061579082e-13 relative error 1.7254445633624297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y1[1] (closed_form) 0.516183571775059 y1[1] (numeric) 0.516183571774825 absolute error 2.34035013590983e-13 relative error 4.5339492844799423e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8564779741648599 y2[1] (numeric) 0.8564779741650028 absolute error 1.4288570326925765e-13 relative error 1.6682939617750658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y1[1] (closed_form) 0.5075931258155099 y1[1] (numeric) 0.5075931258152774 absolute error 2.324807013565078e-13 relative error 4.580060082236129e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8615969003106034 y2[1] (numeric) 0.8615969003107423 absolute error 1.3888890038060708e-13 relative error 1.611993965281653e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y1[1] (closed_form) 0.49895192096637203 y1[1] (numeric) 0.4989519209661411 absolute error 2.3092638912203256e-13 relative error 4.6282292825884594e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8666296674843109 y2[1] (numeric) 0.8666296674844459 absolute error 1.3500311979441904e-13 relative error 1.557794809705878e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y1[1] (closed_form) 0.49026082134092935 y1[1] (numeric) 0.49026082134070004 absolute error 2.293165657363261e-13 relative error 4.67744016560643e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8715757724134588 y2[1] (numeric) 0.8715757724135899 absolute error 1.3100631690576847e-13 relative error 1.5030972756734865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y1[1] (closed_form) 0.48152069604190184 y1[1] (numeric) 0.4815206960416742 absolute error 2.2765123119938835e-13 relative error 4.72775590064312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.876434720491676 y2[1] (numeric) 0.8764347204918032 absolute error 1.2712053631958042e-13 relative error 1.4504278909473869e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y1[1] (closed_form) 0.47273241907453606 y1[1] (numeric) 0.4727324190743101 absolute error 2.2598589666245061e-13 relative error 4.780418848888366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.881206025828204 y2[1] (numeric) 0.8812060258283271 absolute error 1.2312373343092986e-13 relative error 1.3972184690318212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y1[1] (closed_form) 0.46389686925920515 y1[1] (numeric) 0.4638968692589809 absolute error 2.2426505097428162e-13 relative error 4.834373022012619e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8858892112964848 y2[1] (numeric) 0.8858892112966041 absolute error 1.1934897514720433e-13 relative error 1.3472223572125796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y1[1] (closed_form) 0.45501493014352773 y1[1] (numeric) 0.4550149301433052 absolute error 2.2254420528611263e-13 relative error 4.890920946614089e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8904838085818745 y2[1] (numeric) 0.89048380858199 absolute error 1.155742168634788e-13 relative error 1.2978811714447075e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y1[1] (closed_form) 0.44608748991401376 y1[1] (numeric) 0.4460874899137931 absolute error 2.2065682614424986e-13 relative error 4.9464921373783177e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8949893582284734 y2[1] (numeric) 0.8949893582285852 absolute error 1.1179945857975326e-13 relative error 1.2491708147351294e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y1[1] (closed_form) 0.4371154413072467 y1[1] (numeric) 0.43711544130702795 absolute error 2.187694470023871e-13 relative error 5.0048437169853926e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8994054096850713 y2[1] (numeric) 0.8994054096851793 absolute error 1.0802470029602773e-13 relative error 1.2010679403613195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y1[1] (closed_form) 0.42809968152061056 y1[1] (numeric) 0.42809968152039374 absolute error 2.1682655670929307e-13 relative error 5.0648614345874983e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9037315213502026 y2[1] (numeric) 0.9037315213503069 absolute error 1.042499420123022e-13 relative error 1.1535499155385173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y1[1] (closed_form) 0.4190411121225709 y1[1] (numeric) 0.419041112122356 absolute error 2.1488366641619905e-13 relative error 5.127985302629325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9079672606163061 y2[1] (numeric) 0.9079672606164069 absolute error 1.0080825063596421e-13 relative error 1.1102630569249603e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y1[1] (closed_form) 0.40994063896251864 y1[1] (numeric) 0.4099406389623058 absolute error 2.128297538206425e-13 relative error 5.191721278458118e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9121122039129845 y2[1] (numeric) 0.9121122039130821 absolute error 9.758860386455126e-14 relative error 1.0699188482063245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y1[1] (closed_form) 0.40079917208018623 y1[1] (numeric) 0.4007991720799754 absolute error 2.1083135237631723e-13 relative error 5.2602741488232684e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9161659367493628 y2[1] (numeric) 0.9161659367494567 absolute error 9.392486788328824e-14 relative error 1.0251949359364083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y1[1] (closed_form) 0.3916176256146439 y1[1] (numeric) 0.39161762561443525 absolute error 2.0866641747829817e-13 relative error 5.3283203775825004e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.920128053755535 y2[1] (numeric) 0.9201280537556255 absolute error 9.048317650695026e-14 relative error 9.833759131420892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y1[1] (closed_form) 0.3823969177128871 y1[1] (numeric) 0.38239691771268064 absolute error 2.0644597142904786e-13 relative error 5.398735237297402e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9239981587231023 y2[1] (numeric) 0.9239981587231896 absolute error 8.72635297355373e-14 relative error 9.444123769264768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y1[1] (closed_form) 0.37313797043802194 y1[1] (numeric) 0.3731379704378177 absolute error 2.0422552537979755e-13 relative error 5.4731906576020606e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9277758646447933 y2[1] (numeric) 0.9277758646448772 absolute error 8.382183835919932e-14 relative error 9.034707794569673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y1[1] (closed_form) 0.36384170967706025 y1[1] (numeric) 0.36384170967685825 absolute error 2.0200507933054723e-13 relative error 5.552004455724538e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9314607937531637 y2[1] (numeric) 0.9314607937532442 absolute error 8.049116928532385e-14 relative error 8.641391009169404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y1[1] (closed_form) 0.3545090650483313 y1[1] (numeric) 0.35450906504813157 absolute error 1.9972912213006566e-13 relative error 5.6339637493567614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9350525775583735 y2[1] (numeric) 0.9350525775584508 absolute error 7.738254481637341e-14 relative error 8.275742634541058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y1[1] (closed_form) 0.34514096980852066 y1[1] (numeric) 0.34514096980832343 absolute error 1.9723112032465906e-13 relative error 5.714509072454658e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9385508568850353 y2[1] (numeric) 0.9385508568851095 absolute error 7.427392034742297e-14 relative error 7.913680947874401e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y1[1] (closed_form) 0.3357383607593457 y1[1] (numeric) 0.3357383607591508 absolute error 1.9489965197294623e-13 relative error 5.805105247197194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9419552819081315 y2[1] (numeric) 0.9419552819082025 absolute error 7.105427357601002e-14 relative error 7.543274605570917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y1[1] (closed_form) 0.3263021781538758 y1[1] (numeric) 0.32630217815368334 absolute error 1.9245716131877089e-13 relative error 5.898126773398767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.945265512187997 y2[1] (numeric) 0.9452655121880649 absolute error 6.783462680459706e-14 relative error 7.176251109339735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y1[1] (closed_form) 0.3168333656025081 y1[1] (numeric) 0.316833365602318 absolute error 1.900701818158268e-13 relative error 5.999058257465362e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9484812167043623 y2[1] (numeric) 0.9484812167044271 absolute error 6.483702463810914e-14 relative error 6.835878612693559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y1[1] (closed_form) 0.307332869978607 y1[1] (numeric) 0.30733286997841947 absolute error 1.8751666885918894e-13 relative error 6.101419248524954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9516020738894555 y2[1] (numeric) 0.9516020738895172 absolute error 6.17284001691587e-14 relative error 6.486787057625674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y1[1] (closed_form) 0.29780164132381787 y1[1] (numeric) 0.297801641323633 absolute error 1.8485213360008856e-13 relative error 6.207223465202046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9546277716601587 y2[1] (numeric) 0.9546277716602177 absolute error 5.906386491005833e-14 relative error 6.18710943296176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y1[1] (closed_form) 0.2882406327530636 y1[1] (numeric) 0.28824063275288136 absolute error 1.8224310949221945e-13 relative error 6.322603019274785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9575580074492164 y2[1] (numeric) 0.9575580074492727 absolute error 5.6288307348495437e-14 relative error 5.878318275301004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y1[1] (closed_form) 0.27865080035923373 y1[1] (numeric) 0.2786508003590541 absolute error 1.7963408538435033e-13 relative error 6.446566281265581e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9603924882354914 y2[1] (numeric) 0.960392488235545 absolute error 5.362377208939506e-14 relative error 5.583526812867609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y1[1] (closed_form) 0.2690331031175761 y1[1] (numeric) 0.2690331031173992 absolute error 1.769140389740187e-13 relative error 6.575920841113058e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9631309305732672 y2[1] (numeric) 0.9631309305733182 absolute error 5.10702591327572e-14 relative error 5.302525078533151e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y1[1] (closed_form) 0.25938850278980025 y1[1] (numeric) 0.25938850278962605 absolute error 1.7419399256368706e-13 relative error 6.715563361142805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9657730606205921 y2[1] (numeric) 0.9657730606206406 absolute error 4.851674617611934e-14 relative error 5.023617675247969e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y1[1] (closed_form) 0.24971796382790176 y1[1] (numeric) 0.24971796382773032 absolute error 1.714461905777398e-13 relative error 6.865593005391292e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.968318614166663 y2[1] (numeric) 0.9683186141667092 absolute error 4.618527782440651e-14 relative error 4.769636475918999e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y1[1] (closed_form) 0.24002245327771807 y1[1] (numeric) 0.2400224532775494 absolute error 1.686706330161769e-13 relative error 7.027285602360563e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9707673366582467 y2[1] (numeric) 0.9707673366582903 absolute error 4.363176486776865e-14 relative error 4.4945645800121285e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y1[1] (closed_form) 0.23030294068222462 y1[1] (numeric) 0.23030294068205878 absolute error 1.6583956430338276e-13 relative error 7.200931252207093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9731189832251346 y2[1] (numeric) 0.9731189832251759 absolute error 4.1300296516055823e-14 relative error 4.2441157996093525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y1[1] (closed_form) 0.2205603979845814 y1[1] (numeric) 0.22056039798441843 absolute error 1.6298074001497298e-13 relative error 7.389392724362348e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9753733187046296 y2[1] (numeric) 0.9753733187046686 absolute error 3.8968828164342995e-14 relative error 3.995273134608252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y1[1] (closed_form) 0.21079579943093946 y1[1] (numeric) 0.2107957994307794 absolute error 1.6006640457533194e-13 relative error 7.593434262326115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9775301176650626 y2[1] (numeric) 0.9775301176650995 absolute error 3.68594044175552e-14 relative error 3.7706668829394136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y1[1] (closed_form) 0.20101012147301697 y1[1] (numeric) 0.20101012147285985 absolute error 1.5712431356007528e-13 relative error 7.81673641151285e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9795891644283347 y2[1] (numeric) 0.9795891644283694 absolute error 3.47499806707674e-14 relative error 3.547403537384642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y1[1] (closed_form) 0.19120434267045505 y1[1] (numeric) 0.19120434267030084 absolute error 1.5420997812043424e-13 relative error 8.065192242323626e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9815502530914855 y2[1] (numeric) 0.9815502530915181 absolute error 3.26405569239796e-14 relative error 3.325408640176606e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y1[1] (closed_form) 0.18137944359296249 y1[1] (numeric) 0.18137944359281122 absolute error 1.5126788710517758e-13 relative error 8.339858371417276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9834131875472829 y2[1] (numeric) 0.9834131875473134 absolute error 3.0531133177191805e-14 relative error 3.10460888300055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y1[1] (closed_form) 0.17153640672225967 y1[1] (numeric) 0.17153640672211137 absolute error 1.4829804051430528e-13 relative error 8.645280809363088e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9851777815038337 y2[1] (numeric) 0.9851777815038623 absolute error 2.853273173286652e-14 relative error 2.896201301790675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y1[1] (closed_form) 0.16167621635383111 y1[1] (numeric) 0.16167621635368581 absolute error 1.4530043834781736e-13 relative error 8.9871251087312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9868438585032129 y2[1] (numeric) 0.9868438585032394 absolute error 2.653433028854124e-14 relative error 2.688807358925754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y1[1] (closed_form) 0.15179985849849692 y1[1] (numeric) 0.15179985849835465 absolute error 1.422750806057138e-13 relative error 9.372543690949658e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9884112519391087 y2[1] (numeric) 0.9884112519391334 absolute error 2.4646951146678475e-14 relative error 2.493592732612564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y1[1] (closed_form) 0.1419083207838123 y1[1] (numeric) 0.14190832078367313 absolute error 1.3916645613676337e-13 relative error 9.80678619605217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9898798050734839 y2[1] (numeric) 0.9898798050735068 absolute error 2.2870594307278225e-14 relative error 2.310441549575852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y1[1] (closed_form) 0.13200259235530584 y1[1] (numeric) 0.1320025923551697 absolute error 1.3614109839465982e-13 relative error 1.0313517027621286e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9912493710522489 y2[1] (numeric) 0.99124937105227 absolute error 2.1094237467877974e-14 relative error 2.1280454831951762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y1[1] (closed_form) 0.12208366377756565 y1[1] (numeric) 0.12208366377743257 absolute error 1.3307410728913283e-13 relative error 1.0900238670064128e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9925198129199468 y2[1] (numeric) 0.9925198129199663 absolute error 1.942890293094024e-14 relative error 1.957533006195747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y1[1] (closed_form) 0.11215252693518372 y1[1] (numeric) 0.1121525269350538 absolute error 1.2992384945675894e-13 relative error 1.1584567285928903e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9936910036334499 y2[1] (numeric) 0.9936910036334677 absolute error 1.787459069646502e-14 relative error 1.7988077411495368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y1[1] (closed_form) 0.1022101749335684 y1[1] (numeric) 0.10221017493344164 absolute error 1.2675971383657725e-13 relative error 1.240186839705194e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9947628260746626 y2[1] (numeric) 0.9947628260746787 absolute error 1.609823385706477e-14 relative error 1.61829869744816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y1[1] (closed_form) 0.09225760199963459 y1[1] (numeric) 0.09225760199951098 absolute error 1.2360945600420337e-13 relative error 1.339829491825432e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9957351730622339 y2[1] (numeric) 0.9957351730622486 absolute error 1.4654943925052066e-14 relative error 1.4717712421449358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y1[1] (closed_form) 0.08229580338238188 y1[1] (numeric) 0.08229580338226145 absolute error 1.2043144259621386e-13 relative error 1.4633971314021605e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9966079473622756 y2[1] (numeric) 0.9966079473622886 absolute error 1.2989609388114332e-14 relative error 1.303382079431933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y1[1] (closed_form) 0.07232577525337053 y1[1] (numeric) 0.0723257752532533 absolute error 1.1722567361260872e-13 relative error 1.6208007892337906e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9973810616980848 y2[1] (numeric) 0.9973810616980964 absolute error 1.1546319456101628e-14 relative error 1.1576637956653713e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y1[1] (closed_form) 0.062348514607105124 y1[1] (numeric) 0.062348514606991125 absolute error 1.1399908794729186e-13 relative error 1.8284170627907906e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9980544387588723 y2[1] (numeric) 0.9980544387588826 absolute error 1.021405182655144e-14 relative error 1.0233962627582814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y1[1] (closed_form) 0.05236501916133592 y1[1] (numeric) 0.05236501916122516 absolute error 1.1076556338807109e-13 relative error 2.1152587196961366e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9986280112074931 y2[1] (numeric) 0.9986280112075021 absolute error 8.992806499463768e-15 relative error 9.005161480089165e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y1[1] (closed_form) 0.04237628725728795 y1[1] (numeric) 0.04237628725718044 absolute error 1.075112221471386e-13 relative error 2.537060915563069e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9991017216871803 y2[1] (numeric) 0.9991017216871881 absolute error 7.882583474838611e-15 relative error 7.889670594829238e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y1[1] (closed_form) 0.0323833177598277 y1[1] (numeric) 0.032383317759723466 absolute error 1.0423606422449438e-13 relative error 3.218819794733996e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9994755228272807 y2[1] (numeric) 0.9994755228272875 absolute error 6.772360450213455e-15 relative error 6.775914262568475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y1[1] (closed_form) 0.02238710995757748 y1[1] (numeric) 0.022387109957476517 absolute error 1.0096437574880213e-13 relative error 4.509933436701962e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9997493772479917 y2[1] (numeric) 0.9997493772479975 absolute error 5.773159728050814e-15 relative error 5.774606975942891e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y1[1] (closed_form) 0.012388663462987363 y1[1] (numeric) 0.012388663462889683 absolute error 9.768054420877803e-14 relative error 7.884671700107967e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9999232575640997 y2[1] (numeric) 0.9999232575641044 absolute error 4.6629367034256575e-15 relative error 4.663294576010741e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y1[1] (closed_form) 0.002388978112374797 y1[1] (numeric) 0.0023889781122804136 absolute error 9.438326856181511e-14 relative error 3.950779962064705e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 y2[1] (closed_form) 0.9999971463877178 y2[1] (numeric) 0.9999971463877214 absolute error 3.6637359812630166e-15 relative error 3.663746436174846e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y1[1] (closed_form) -0.007610946134058199 y1[1] (numeric) -0.007610946134149275 absolute error 9.107645193573433e-14 relative error 1.1966508543290905e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 y2[1] (closed_form) 0.9999710363300252 y2[1] (numeric) 0.9999710363300278 absolute error 2.6645352591003757e-15 relative error 2.6646124360555845e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y1[1] (closed_form) -0.017610109292220223 y1[1] (numeric) -0.01761010929230798 absolute error 8.775619120271472e-14 relative error 4.983284870439933e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9998449300020059 y2[1] (numeric) 0.9998449300020077 absolute error 1.7763568394002505e-15 relative error 1.7766323417739256e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y1[1] (closed_form) -0.027607511454128066 y1[1] (numeric) -0.0276075114542125 absolute error 8.443246102274315e-14 relative error 3.0583148054845135e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9996188400141877 y2[1] (numeric) 0.9996188400141889 absolute error 1.2212453270876722e-15 relative error 1.221710994432977e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y1[1] (closed_form) -0.03760215288789667 y1[1] (numeric) -0.03760215288797779 absolute error 8.11156697366755e-14 relative error 2.1572081252503204e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.999292788975381 y2[1] (numeric) 0.9992927889753815 absolute error 5.551115123125783e-16 relative error 5.5550437112806407e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y1[1] (closed_form) -0.047593034137711515 y1[1] (numeric) -0.04759303413778929 absolute error 7.777806176889612e-14 relative error 1.63423205051066e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9988668094904178 y2[1] (numeric) 0.9988668094904177 absolute error 1.1102230246251565e-16 relative error 1.1114825460979609e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y1[1] (closed_form) -0.05757915612377331 y1[1] (numeric) -0.05757915612384776 absolute error 7.444739269502065e-14 relative error 1.292957342670793e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9983409441568918 y2[1] (numeric) 0.9983409441568912 absolute error 5.551115123125783e-16 relative error 5.560340037755089e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y1[1] (closed_form) -0.0675595202422052 y1[1] (numeric) -0.06755952024227631 absolute error 7.110978472724128e-14 relative error 1.0525501731259806e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9977152455608981 y2[1] (numeric) 0.9977152455608969 absolute error 1.2212453270876722e-15 relative error 1.224041962394901e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y1[1] (closed_form) -0.07753312846491227 y1[1] (numeric) -0.07753312846498003 absolute error 6.776523786555799e-14 relative error 8.740165553389897e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9969897762717748 y2[1] (numeric) 0.9969897762717732 absolute error 1.5543122344752192e-15 relative error 1.5590051888872337e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y1[1] (closed_form) -0.08749898343938357 y1[1] (numeric) -0.087498983439448 absolute error 6.442069100387471e-14 relative error 7.36245022189352e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9961646088358462 y2[1] (numeric) 0.9961646088358442 absolute error 1.9984014443252818e-15 relative error 2.0060956056857766e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y1[1] (closed_form) -0.09745608858842651 y1[1] (numeric) -0.09745608858848759 absolute error 6.107614414219142e-14 relative error 6.267042421549081e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9952398257691685 y2[1] (numeric) 0.9952398257691663 absolute error 2.220446049250313e-15 relative error 2.231066313623701e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y1[1] (closed_form) -0.10740344820982373 y1[1] (numeric) -0.10740344820988149 absolute error 5.775935285612377e-14 relative error 5.377793154581491e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9942155195492774 y2[1] (numeric) 0.9942155195492752 absolute error 2.220446049250313e-15 relative error 2.2333649048819325e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y1[1] (closed_form) -0.11734006757590254 y1[1] (numeric) -0.11734006757595696 absolute error 5.4414805994440485e-14 relative error 4.637359353763943e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9930917926059416 y2[1] (numeric) 0.9930917926059392 absolute error 2.4424906541753444e-15 relative error 2.459481260806798e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y1[1] (closed_form) -0.1272649530330068 y1[1] (numeric) -0.12726495303305788 absolute error 5.10702591327572e-14 relative error 4.012908339306256e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.991868757310919 y2[1] (numeric) 0.9918687573109163 absolute error 2.6645352591003757e-15 relative error 2.686378857545898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y1[1] (closed_form) -0.13717711210086156 y1[1] (numeric) -0.1371771121009093 absolute error 4.773959005888173e-14 relative error 3.480142519969401e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9905465359667196 y2[1] (numeric) 0.9905465359667169 absolute error 2.6645352591003757e-15 relative error 2.689964744059131e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y1[1] (closed_form) -0.14707555357182006 y1[1] (numeric) -0.14707555357186453 absolute error 4.446443213623752e-14 relative error 3.023237448807195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9891252607943761 y2[1] (numeric) 0.9891252607943737 absolute error 2.4424906541753444e-15 relative error 2.4693441275716246e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y1[1] (closed_form) -0.15695928760998396 y1[1] (numeric) -0.15695928761002503 absolute error 4.107825191113079e-14 relative error 2.6171278257329364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9876050739202216 y2[1] (numeric) 0.9876050739202193 absolute error 2.220446049250313e-15 relative error 2.2483137317596244e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y1[1] (closed_form) -0.16682732585018578 y1[1] (numeric) -0.16682732585022353 absolute error 3.774758283725532e-14 relative error 2.262673854231374e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9859861273616763 y2[1] (numeric) 0.9859861273616742 absolute error 2.1094237467877974e-15 relative error 2.1394050973437533e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y1[1] (closed_form) -0.17667868149682492 y1[1] (numeric) -0.1766786814968593 absolute error 3.4389158187764224e-14 relative error 1.946423750529417e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9842685830120473 y2[1] (numeric) 0.9842685830120455 absolute error 1.887379141862766e-15 relative error 1.917544839323257e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y1[1] (closed_form) -0.1865123694225461 y1[1] (numeric) -0.1865123694225772 absolute error 3.111400026512001e-14 relative error 1.6682003644825752e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.982452612624338 y2[1] (numeric) 0.9824526126243367 absolute error 1.3322676295501878e-15 relative error 1.3560629921797654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y1[1] (closed_form) -0.19632740626675144 y1[1] (numeric) -0.19632740626677928 absolute error 2.78388423424758e-14 relative error 1.4179804476533943e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9805383977940741 y2[1] (numeric) 0.9805383977940729 absolute error 1.2212453270876722e-15 relative error 1.2454844500073823e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y1[1] (closed_form) -0.20612281053393575 y1[1] (numeric) -0.20612281053396028 absolute error 2.453592884421596e-14 relative error 1.1903548559549843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.9785261299411433 y2[1] (numeric) 0.9785261299411426 absolute error 6.661338147750939e-16 relative error 6.807521990395501e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y1[1] (closed_form) -0.21589760269183508 y1[1] (numeric) -0.21589760269185632 absolute error 2.123301534595612e-14 relative error 9.8347619803187e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.976416010290654 y2[1] (numeric) 0.976416010290654 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] 4.9399999999999835 y1[1] (closed_form) -0.22565080526937928 y1[1] (numeric) -0.22565080526939726 absolute error 1.7985612998927536e-14 relative error 7.970551214056835e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9742082498528128 y2[1] (numeric) 0.9742082498528134 absolute error 5.551115123125783e-16 relative error 5.698078541178918e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y1[1] (closed_form) -0.23538144295443822 y1[1] (numeric) -0.235381442954453 absolute error 1.479372180313021e-14 relative error 6.284999198511061e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9719030694018239 y2[1] (numeric) 0.971903069401825 absolute error 1.1102230246251565e-15 relative error 1.1423186731043707e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y1[1] (closed_form) -0.24508854269135227 y1[1] (numeric) -0.24508854269136382 absolute error 1.1546319456101628e-14 relative error 4.711080872777587e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9695006994538112 y2[1] (numeric) 0.9695006994538131 absolute error 1.887379141862766e-15 relative error 1.9467537701891923e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y1[1] (closed_form) -0.25477113377823696 y1[1] (numeric) -0.25477113377824523 absolute error 8.271161533457416e-15 relative error 3.2465065452261825e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9670013802437677 y2[1] (numeric) 0.9670013802437704 absolute error 2.6645352591003757e-15 relative error 2.755461691718251e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y1[1] (closed_form) -0.26442824796405234 y1[1] (numeric) -0.26442824796405745 absolute error 5.10702591327572e-15 relative error 1.9313465760927305e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9644053617015315 y2[1] (numeric) 0.964405361701535 absolute error 3.552713678800501e-15 relative error 3.683838580627895e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.99 y1[1] (closed_form) -0.27405891954542744 y1[1] (numeric) -0.2740589195454294 absolute error 1.942890293094024e-15 relative error 7.089316035824094e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.9617129034267934 y2[1] (numeric) 0.961712903426798 absolute error 4.6629367034256575e-15 relative error 4.848574545283311e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 Finished! diff ( y1 , x , 1 ) = neg ( y2 ) ; diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ; Iterations 4500 Total Elapsed Time 17 Seconds Elapsed Time(since restart) 17 Seconds Time to Timeout 2 Minutes 43.0 Seconds Percent Done 100.0222222222223%